Represent each number line by an inequality.

Represent Each Number Line By An Inequality.

Answers

Answer 1

Answer:

Step-by-step explanation:

The inequality in the first equation is x > 8.

The inequality for the second graph is x ≤ -4 since it's a dot.


Related Questions

Question 4
Let us assume an original starting value of $4 trillion in 2033, but that the actual rate of
decline after 2033 was 10% greater than the 7.6% rate. (Notice that this refers to a 10%
relative increase over the 7.6% rate of decline that was originally estimated in the
lesson, and not an absolute increase of 10 percentage points.) In the questions below,
consider how this would affect the estimated value of the funds in 2038?
What is the new estimated value of the trust funds in 2038? Round to the nearest

Answers

The new estimated value of the trust funds in 2038 would be $2.5 trillion.

What is funds?

Funds are resources of monetary value that can be used to acquire goods, services, or to meet financial obligations. They are usually obtained through the sale of goods and services or by borrowing. Funds can come from a variety of sources, including individuals, businesses, governments, and other organizations. Funds can be used to purchase assets such as stocks, bonds, real estate, or other forms of investments.

This is because a 10% relative increase over the original estimated 7.6% rate of decline means that the actual rate of decline is 8.36% (7.6% x 1.10 = 8.36%). Applying this rate to the original starting value of $4 trillion, the value of the trust funds in 2038 would be $4 trillion x 0.9164 (which is the equivalent of 1 - 0.0836) = $2.5 trillion.

To learn more about  funds

https://brainly.com/question/28987279

#SPJ1

The new estimated value of the trust funds in 2038 would be $2.4 trillion.

What is trust fund?

A trust fund is a legal arrangement in which a person or organization (the trustor) transfers assets to another person or organization (the trustee) to be managed and distributed for the benefit of a third party (the beneficiary). The trustor sets out a set of instructions (the trust deed) on how the trust funds should be handled, managed, and distributed. The trustee is legally bound to abide by these instructions, and is responsible for the management and distribution of the trust funds according to the trust deed. Trust funds can be used for a variety of purposes, such as providing for a beneficiary's education, medical care, or retirement.

This is because a 10% increase in the rate of decline would result in a rate of decline of 8.36% (7.6% plus 10% of 7.6%).
Using this new rate of decline, the value of the trust funds in 2038 would be $4 trillion multiplied by (1 - 0.0836)⁵,
which is equal to $2.4 trillion.

To learn more about fund
https://brainly.com/question/29135821
#SPJ1

Two cellphone companies are offering different rate plans. Rogers is offering $19.99 per month, which includes a
maximum of 200 weekday minutes plus $0.35 for every minute above the maximum. TELUS is offering $39.99 for a
maximum 300 weekday minutes, but it charges $0.10 for every minute above the maximum. Above how many minutes
would TELUS be the better choice?

Answers

TELUS is the better choice, because if you were to multiply the minutes above maximum on each, if the number of minutes above is high enough Rogers $0.35 will eventually add up to TELUS’ $0.10 and will become more expensive.

Wich one of the following expressions is equivalent to 7/tan b+ 7 tan b

Answers

Therefore, the expression [tex]\frac{7}{Tanb} +7Tanb[/tex] is equivalent to function. [tex]7*secb*cscb[/tex].

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles. It includes the study of trigonometric functions such as sine, cosine, tangent, cotangent, secant, and cosecant, as well as their properties and applications.

Trigonometry is useful in a wide range of fields, including engineering, physics, navigation, astronomy, and surveying. It is often used to solve problems involving triangles, such as determining the height of a tall object, finding the distance between two points, or calculating the trajectory of a moving object.

The origins of trigonometry can be traced back to ancient civilizations such as the Babylonians, Greeks, and Indians, who developed various methods for calculating angles and distances. Today, trigonometry is an important part of mathematics education and continues to be used extensively in many fields of study.

Given by the question.

To simplify the expression 7/tan b + 7 tan b, we need to first recall the following trigonometric identity:

tan(x) * cot(x) = 1

Using this identity, we can rewrite the expression as:

[tex]\frac{7}{Tanb} +7Tanb[/tex]

= [tex]\frac{7}{Tanb} +7Tan^{2} b*cotb\\[/tex]

=[tex]\frac{7}{Tanb} +7*(sin^{2}/cos^{2}b)*(cosb/sinb)[/tex]

= [tex]\frac{7}{Tanb} +7*(cosb/sinb)[/tex]

= [tex]7*(1/tanb+sinb/cosb[/tex]

[tex]=7*(cosb/sinb+sinb/cosb)\\=7*((cos^{2}b+sin^{2}b)/(sinb/cosb))\\ =7*(1/(sinb/cosb))\\=7*secb*cscb[/tex]

To learn more about distance:

https://brainly.com/question/15172156

#SPJ1

Find the dimensions of a rectangle with area 1,000 m^2 whose perimeter is as small as possible. (If both values are the same number, enter it into both blanks.)What is m (smaller value)What is m (Larger value)

Answers

10√10 is the dimensions of a rectangle with area 1,000 m² whose perimeter is as small as possible.

a. The smaller value is 10√10 m.

b. The larger value is 10√10 m.

We have to determine the dimensions of a rectangle with area 1,000 m² whose perimeter is as small as possible.

P = 2w + 2L

1000 = Lw

P = 2w + 2(1000/w)

P = 2w + 2000/w

P-prime = 2 -2000/w²

0 = 2 - 2000/w²

Add 2000/w² on both side, we get

2000/w² = 2

Multiply by w² on both side, we get

2000 = 2w²

Divide by 2 on both side

w² = 2000/2

w² = 1000

Taking square root on both side, we get

w = 10√10

To learn more about rectangle link is here

brainly.com/question/29123947

#SPJ4

list all symmetry groups that are the symmetry groups of quadrilaterals and for each group sketch a quadrilateral

Answers

The quadrilaterals which have both line and rotational symmetry of order more than 1 are square, and rhombus

Symmetry is a fundamental concept in mathematics and geometry. It refers to the property of a shape that remains unchanged when it is transformed in a certain way.

Now, let's talk about quadrilaterals that have both line and rotational symmetry of order more than 1. One example of such a quadrilateral is a square.

Another example of a quadrilateral with both line and rotational symmetry of order more than 1 is a rhombus. A rhombus is a type of quadrilateral where all four sides are equal in length, and opposite angles are equal.

In summary, a square and a rhombus are examples of quadrilaterals that have both line and rotational symmetry of order more than 1.

To know more about quadrilateral here

https://brainly.com/question/29934440

#SPJ4

Complete Question:

Name the quadrilaterals which have both line and rotational symmetry of order more than 1.

THERE ARE 2 PARTS PLEASE ANSWER BOTH RIGHT TY HELPP!! There are 12 red cards, 17 blue cards, 14 purple cards, and 7 yellow cards in a hat.
Part A. What is the theoretical probability of drawing a purple card from the hat?

Part B.
In a trial, a card is drawn from the hat and then replaced 1,080 times. A purple card is drawn 324 times. How much greater is the experimental probability than the theoretical probability?

Enter the correct answers in the boxes.

A. The theoretical probability of drawing a purple card from the hat is ______.

B. The experimental probability of drawing a purple card is ____%
greater than the theoretical probability.

Answers

Part A. The probability pf drawing a purple card out of the hat is 28%.

Part B. The experimental probability is 2% greater than the theoretical probability.

Define probability?

The probability that a specific event will occur is known as probability. The ratio of favourable outcomes to all other possible outcomes serves as a stand-in for the likelihood that an event will occur.

In numerous disciplines, including mathematics, statistics, physics, economics, and computer science, uncertain events are described and understood using probability theory. It is used to analyse risks, make decisions, and forecast events.

Now in the given question,

Total cards in the hat = 12 + 17 + 14 + 7 = 50 cards

Total purple cards in the hat = 14

Probability of getting a purple card from the hat = 14/50

= 0.28

= 28%

Now similarly for the experiment,

Probability = 324/1080

= 0.3

= 30%

Therefore, the experimental probability is 30% - 28% = 2% greater than the theoretical probability.

To know more about probability, visit:

https://brainly.com/question/24756209

#SPJ1

each square in the grid below has area 1. find the area of the irregular quadrilateral below. [asy] size( 200 ) ; int xmax

Answers

The required area of the irregular quadrilateral as given in the attached diagram is equal to 37.5 square units.

In the attached diagram,

Area of each square grid is equal to 1 square units.

Area of the irregular quadrilateral

= Area of the triangle A + Area of the triangle B + Area of the triangle C + Area of the rectangle D  ___(1)

Area of triangle A = ( 1/2 ) × Base × height

                              = ( 1/2 ) × 4 × 8

                              = 16 square units

Area of triangle B = ( 1/2 ) × Base × height

                              = ( 1/2 ) × 5 × 5

                              = 12.5 square units

Area of triangle C = ( 1/2 ) × Base × height

                              = ( 1/2 ) × 3 × 4

                              = 6 square units

Area of rectangle D = length × width

                                 = 3 × 1

                                 = 3 square units

Substitute all the values in (1 ) we have,

Area of the irregular quadrilateral

= 16 + 12.5 + 6 + 3

= 37.5 square units.

Therefore, the area of irregular quadrilateral is equal to 37.5 square units.

Learn more about area here

brainly.com/question/12354600

#SPJ4

The above question is incomplete, the complete question is:

Each square in the grid below has area 1. Find the area of the irregular quadrilateral below.

Diagram is attached.

Solve for the unknown whole number in the following expressions
z ÷ 19= 4 R 16

Answers

Answer:

We can solve for the unknown whole number by using the formula:

Dividend = Divisor × Quotient + Remainder

In this case, the dividend is z, the divisor is 19, the quotient is the unknown whole number, and the remainder is 16. We can substitute these values into the formula and solve for the unknown whole number:

z = 19 × Quotient + 16

To isolate the variable (Quotient), we can subtract 16 from both sides:

z - 16 = 19 × Quotient

Then, we can divide both sides by 19 to solve for Quotient:

Quotient = (z - 16) ÷ 19

Therefore, the unknown whole number is (z - 16) ÷ 19.

I need help with this

Answers

Angle PLE is measured at 90°. The options supplied do not contain the solution.

What measurement of an angle does not equal 90?

The acute angle is defined as being less than 90 degrees. Right angles are 90 degrees in length. Angles that are obtuse have a greater angle than 90 degrees. Discover the various sorts of angles and examples of each.

As complementary angles, ZPLA and ZELA, we can infer that:

ZPLA + ZELA = 90°

Using the following expressions in place of ZPLA and ZELA, we obtain:

5x-2 + x+8 = 90

When we simplify the equation, we obtain:

6x + 6 = 90

6 is subtracted from both sides to yield:

6x = 84

Dividing by 6, we get:

x = 14

With the knowledge of x, we can determine the dimensions of ZPLA and ZELA:

ZPLA = 5x-2 = 5(14)-2 = 68°

ZELA = x+8 = 14+8 = 22°

Therefore, we can find the measure of angle PLE by subtracting the measures of ZPLA and ZELA from 180°:

PLE = 180 - ZPLA - ZELA

PLE = 180 - 68 - 22

PLE = 90

To know more about Angle visit:-

https://brainly.com/question/28451077

#SPJ1

can you find the value of constant k?
k=?

Answers

The constant k that makes f(x) continuous everywhere is k = 49/41.

What is a continuous function?

If a function's limit at a given position exists and is the same as the function's value there, the function is said to be continuous at that location. If a function is continuous over its whole domain, then it is continuous everywhere. As the name implies, a continuous function is one whose graph is continuous throughout without any pauses or leaps. To put it another way, we say that a function is continuous if we can draw the curve (graph) of the function without ever picking up the pencil.

For f(x) to be continuous everywhere, it must be continuous at x = 7.

Using the left limit we have:

k(7)² = 49k

Using the right limit we have:

(7x + k) = 49 + k

Setting the limits equal we have:

49k = 49 + k = 8k

49k = 8k + 49

41k = 49

k = 49/41

Hence, the constant k that makes f(x) continuous everywhere is k = 49/41.

Learn more about continuous function here:

https://brainly.com/question/30501770

#SPJ1

work out 40÷160000.
write your answer in standard form.

Answers

40 / 160000 = 0.00025

The value of expression 40 divided by 160000 would be equal to 0.00025

How can we interpret the division?

When 'a' is divided by 'b', then the result we get from the division is part of 'a' that each one of 'b' items will get. Division can be interpreted as equally dividing the number that is being divided into total x parts, where x is the number of parts the given number is divided.

We need to find the expression of 40 divided by 160000

A negative divided by a negative is positive, then

40÷160000 = 0.00025

Therefore, The value of 40 divided by 160000 is; 0.00025

Learn more about division here:

brainly.com/question/26411682

#SPJ2

(10
points
)
Let
S(t)= 1+e −t
1

. (a) Find
S ′
(t)
. (b) Which of the following equations hold true? Show why your choice is true. [Note: only one equation is true.] i.
S ′
(t)=S(t)
ii.
S ′
(t)=(S(t)) 2
iii.
S ′
(t)=S(t)(1−S(t))
iv.
S ′
(t)=−S(−t)

Answers

The derivative of S(t)= 1+e −t is  S'(t) = S(t)(1 - S(t)). So, the correct answer is (iii).

To find S'(t), we can use the chain rule:

S'(t) = (d/dt) [1 + e^(-t/2)]^-2 * d/dt [1 + e^(-t/2)]

Using the chain rule again for the second derivative:

d/dt [1 + e^(-t/2)] = (-1/2)e^(-t/2)

d/dt [1 + e^(-t/2)]^-2 = -2(1 + e^(-t/2))^-3 * (-1/2)e^(-t/2) = (1/2) e^(-t/2) / (1 + e^(-t/2))^3

Substituting into the expression for S'(t), we have:

S'(t) = [(1/2) e^(-t/2) / (1 + e^(-t/2))^3] * [1 - (1/2)e^(-t/2)]

S'(t) = (1/2) e^(-t/2) / (1 + e^(-t/2))^3 * [2 - e^(-t/2)]

S'(t) = e^(-t/2) / (1 + e^(-t/2))^3 * [2 - e^(-t/2)]

Taking the derivative of S(t), we have:

S'(t) = e^(-t/2) / (1 + e^(-t/2))^2

Comparing this to the given choices, we can see that:

S'(t) = S(t) is not true, since S(t) = 1 + e^(-t/2) and S'(t) is a different function.

S'(t) = (S(t))^2 is not true, since (S(t))^2 = (1 + e^(-t/2))^2 is a different function from S'(t).

S'(t) = S(t)(1 - S(t)) is true, since we can substitute S(t) and S'(t) from above and simplify:

S'(t) = e^(-t/2) / (1 + e^(-t/2))^3 * [2 - e^(-t/2)]

S(t)(1 - S(t)) = [1 + e^(-t/2)] * [1 - (1 + e^(-t/2))] = e^(-t/2) / (1 + e^(-t/2))

Therefore, S'(t) = S(t)(1 - S(t)) is true.

S'(t) = -S(-t) is not true, since S(-t) = 1 + e^(t/2) and -S(-t) is a different function from S'(t).

So the correct choice is (iii): S'(t) = S(t)(1 - S(t)).

To know more about derivative:

https://brainly.com/question/30365299

#SPJ4

A printing company bought a machine for $86.000. it's estimated life is 10 years with residual value of $6,000, Using the straight-line method, what's the book value of the machine at the end of year2?

Answers

Hence, at the end οf year 2, the machine's bοοk value is $70,000.

Examples οf residual value what?

Example οf Calculating Residual Value fοr a Business-Owned Vehicle. Hence, if the cοrpοratiοn sells the car after 6 years, 60% οf the οriginal cοst οf the car is depreciated οver 6 years, and the residual value is 40%. Remaining Value Befοre Tax is anοther name fοr this value.

The cοst οf an asset is evenly dispersed acrοss the asset's useful life with the straight-line technique οf depreciatiοn. Cοmpute the annual depreciatiοn cοsts and deduct it frοm the machine's οriginal cοst tο arrive at the machine's bοοk value at the end οf year twο.

Yοu can cοmpute the yearly depreciatiοn expense as fοllοws:

Cοst οf Asset - Residual Value / Useful Life = Depreciatiοn Cοsts

Inputting the values prοvided yields:

Depreciatiοn Expense = ($86,000 - $6,000) / 10 = $8,000 per year

The machine's οriginal cοst must be subtracted frοm the bοοk value at the end οf year twο in οrder tο determine the machine's value:

Bοοk Value at End οf Year 2 = Cοst οf Asset - (Depreciatiοn Expense x Number οf Years)

Bοοk Value at End οf Year 2 = $86,000 - ($8,000 x 2) = $70,000

Thus, the machine's bοοk value at the end οf year twο is $70,000.

To know more about residual value visit:

brainly.com/question/27864993

#SPJ1

For the given functions f and g, complete parts (a)-(h). For parts (a)-(d), also find the domain. f(x) = 4x+9; g(x)=9x - 5​

Answers

Answer:

(a) Find (f + g)(x)

To find (f + g)(x), we add the two functions f(x) and g(x):

(f + g)(x) = f(x) + g(x) = (4x + 9) + (9x - 5) = 13x + 4

The domain of (f + g)(x) is all real numbers, since there are no restrictions on x that would make (f + g)(x) undefined.

(b) Find (f - g)(x)

To find (f - g)(x), we subtract the function g(x) from f(x):

(f - g)(x) = f(x) - g(x) = (4x + 9) - (9x - 5) = -5x + 14

The domain of (f - g)(x) is all real numbers, since there are no restrictions on x that would make (f - g)(x) undefined.

(c) Find (f * g)(x)

To find (f * g)(x), we multiply the two functions f(x) and g(x):

(f * g)(x) = f(x) * g(x) = (4x + 9)(9x - 5) = 36x^2 + 11x - 45

The domain of (f * g)(x) is all real numbers, since there are no restrictions on x that would make (f * g)(x) undefined.

(d) Find (f / g)(x)

To find (f / g)(x), we divide the function f(x) by g(x):

(f / g)(x) = f(x) / g(x) = (4x + 9) / (9x - 5)

The domain of (f / g)(x) is all real numbers except x = 5/9, since this value would make the denominator of (f / g)(x) equal to zero, resulting in division by zero, which is undefined.

(e) Find f(g(x))

To find f(g(x)), we substitute g(x) into the expression for f(x):

f(g(x)) = 4g(x) + 9

Substituting the expression for g(x), we get:

f(g(x)) = 4(9x - 5) + 9 = 36x - 11

The domain of f(g(x)) is all real numbers, since there are no restrictions on x that would make f(g(x)) undefined.

(f) Find g(f(x))

To find g(f(x)), we substitute f(x) into the expression for g(x):

g(f(x)) = 9f(x) - 5

Substituting the expression for f(x), we get:

g(f(x)) = 9(4x + 9) - 5 = 36x + 76

The domain of g(f(x)) is all real numbers, since there are no restrictions on x that would make g(f(x)) undefined.

(g) Find f(f(x))

To find f(f(x)), we substitute f(x) into the expression for f(x):

f(f(x)) = 4f(x) + 9

Substituting the expression for f(x), we get:

f(f(x)) = 4(4x + 9) + 9 = 16x + 45

The domain of f(f(x)) is all real numbers, since there are no restrictions on x that would make f(f(x)) undefined.

(h) Find g(g(x))

To find g(g(x)), we substitute g(x) into the expression for g(x):

g(g(x)) = 9

Step-by-step explanation:

Answer:

Step-by-step explanation:

(a) Find f(g(x)).

To find f(g(x)), we first need to find g(x) and then substitute it into f(x).

g(x) = 9x - 5

f(g(x)) = f(9x - 5) = 4(9x - 5) + 9 = 36x - 11

Therefore, f(g(x)) = 36x - 11.

(b) Find g(f(x)).

To find g(f(x)), we first need to find f(x) and then substitute it into g(x).

f(x) = 4x + 9

g(f(x)) = g(4x + 9) = 9(4x + 9) - 5 = 36x + 76

Therefore, g(f(x)) = 36x + 76.

(c) Find f(f(x)).

To find f(f(x)), we need to substitute f(x) into f(x).

f(f(x)) = 4(4x + 9) + 9 = 16x + 45

Therefore, f(f(x)) = 16x + 45.

(d) Find g(g(x)).

To find g(g(x)), we need to substitute g(x) into g(x).

g(g(x)) = 9(9x - 5) - 5 = 81x - 50

Therefore, g(g(x)) = 81x - 50.

Domain of f(x) and g(x): Since both f(x) and g(x) are linear functions, their domains are all real numbers.

(e) Find the inverse of f(x).

To find the inverse of f(x), we need to switch the roles of x and f(x) and solve for f(x).

y = 4x + 9

x = 4y + 9

x - 9 = 4y

y = (x - 9) / 4

Therefore, the inverse of f(x) is f^(-1)(x) = (x - 9) / 4.

(f) Find the inverse of g(x).

To find the inverse of g(x), we need to switch the roles of x and g(x) and solve for g(x).

y = 9x - 5

x = 9y - 5

x + 5 = 9y

y = (x + 5) / 9

Therefore, the inverse of g(x) is g^(-1)(x) = (x + 5) / 9.

(g) Find the domain of f^(-1)(x).

The domain of f^(-1)(x) is the range of f(x). Since f(x) is a linear function, its range is all real numbers. Therefore, the domain of f^(-1)(x) is also all real numbers.

(h) Find the domain of g^(-1)(x).

The domain of g^(-1)(x) is the range of g(x). Since g(x) is a linear function, its range is all real numbers. Therefore, the domain of g^(-1)(x) is also all real numbers.

You are dealt one card from a 52-card deck. Find the probability that you are not dealt a 3

Answers

Answer:

the answer is 12/13 simplified

Step-by-step explanation:

simplified

The amount of money Sally earns in dollars, P, varies directly with the number, n, of necklaces she sells. When Sally sells 15 necklaces she earns $150.

Answers

Answer:

Equation: [tex]P=10n[/tex]

[tex]P=40[/tex] when n = 4

Step-by-step explanation:

Given

Direct Variation: P ∝ n

When n = 15, P = 150

Required

Determine the equation

Her earnings if she sold 4 necklaces

P ∝ n

Convert variation to equation

[tex]P=kn[/tex]

When P = 150, n = 15 (Substitute these values in the given equation)

[tex]150=k\times15[/tex]

Divide both sides by 15

[tex]\dfrac{150}{15} =\dfrac{k\times15}{15}[/tex]

[tex]10=k[/tex]

[tex]k=10[/tex]

Substitute k = 10 in [tex]P=kn[/tex]

[tex]P=10\times n[/tex]

[tex]P=10n[/tex] ------- Equation that relates P and n

When she sold 4 necklaces, n = 4

Substitute n = 4 in the formula above

[tex]P=10\times4[/tex]

[tex]P=40[/tex]

explain integral calculus

Answers

Answer:

Integral

Step-by-step explanation:

explain integral calculus

my notes use implicit differentiation to find an equation of the tangent line to the curve at the given point.

Answers

The equation of the tangent line to the curve at the point (2,4) is y = (-1/2)x + 5.

To use implicit differentiation to find an equation of the tangent line to the curve at the given point (2,4), we need an implicit equation of the curve. Let's assume the curve is given by the equation:

x² + y² = 16

We can use implicit differentiation to find the slope of the tangent line at any point on this curve. Taking the derivative of both sides with respect to x, we get:

2x + 2y (dy/dx) = 0

Simplifying for (dy/dx), we get:

dy/dx = -x/y

Now we can substitute the given point (2,4) into this equation to find the slope of the tangent line at that point:

dy/dx = -2/4 = -1/2

So the slope of the tangent line at (2,4) is -1/2. We can use this slope and the point-slope form of the equation of a line to find an equation of the tangent line. The point-slope form is:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is the given point. Substituting the values, we get:

y - 4 = (-1/2)(x - 2)

Simplifying, we get:

y = (-1/2)x + 5

Therefore, the equation of the tangent line to the curve at the point (2,4) is y = (-1/2)x + 5.

Learn more about tangent line here: brainly.com/question/23265136

#SPJ4

Complete question:

Use implicit differentiation to find an equation of the tangent line to the curve at the given point (2,4)

Suppose one hundred eleven people who shopped in a special t-shirt store were asked the number of t-shirts they own costing more than $19 each. 40/111 39/111 30/111 Relative frequency 20/111 23/111 17/111 10/111 5/111 2/111 0 1 1 2 3 4 5 6 7 Number of T-shirts costing more than $19 each Find the percent of people that own at most five t-shirts costing more than $19 each. (Round your answer to a whole number.) % Additional Materials eBook

Answers

The percent of people that own at most 4 T-Shirts costing more than $19 each is 76%.

The number of people who own at most four T-Shirts costing more than $19 is ⇒ n = N(1) + N(2) + N(3) + N(4),

where , N(i) represents the number of people who own "i" T-Shirts costing more than $19 each.

From the frequency histogram , we substitute the values and get;

⇒ n = 5 + 17 + 23 + 39

⇒ n = 84.

So, percentage of people who own at most four T-Shirts costing more than $19 each is calculated as :

⇒ (n/111) × 100% ;

⇒ (84/111) × 100% = 75.68% ≈ 76%.

Therefore, 76% of people that own at most 4 t-Shirts costing more than $19 each.

Learn more about Frequency Histogram here

https://brainly.com/question/29086869

#SPJ4

The given question is incomplete, the complete question is

Suppose 111 people who shopped in a special t-shirt store were asked the number of t-shirts they own costing more than $19 each. The following relative frequency histogram shows the results of the survey.

The percent of people who own at most four T-Shirts costing more than $19 each is ?

Dylan has a pitcher with 1.65 L of orange juice. He pours out 0.2 L of the juice. Then he adds some sparkling water to the pitcher to make orangeade. He ends up with 1.9 L of orangeade. Solve the equation 1.65 - 0.2 + x= 1.9 to find the amount of sparkling water, x, Dylan adds to the pitcher.

please soon

edit nevermind I actually read the question and it's not that hard and I solved it so hehe

Answers

Answer:

Step-by-step explanation:

x= 0.45

Answer: 0.45 L of sparkling water

Step-by-step explanation:

1.65 - 0.2 = 1.45  

1.9 - 1.45 = 0.45

0.45 L of sparkling water

the dcpromo wizard will guide you through which of the following installation scenarios? [check all that apply]

Answers

The Dcpromo wizard will guide you through e. All of the above installation scenarios

A utility in Active Directory called DCPromo (Domain Controller Promoter) installs and uninstalls Active Directory Domain Services and promotes domain controllers. Since Windows 2000, every version of Windows Server contains DCPromo, which creates forests and domains in Active Directory. It works with Windows Server and houses all network resources as a centralised security management solution.

The functionality aids in building a completely new forest structure. It allows for both the addition of a new domain tree to an existing forest and the addition of a child domain to an existing domain. Additionally, it degrades the domain controllers and ultimately deletes a domain or forest.

Complete Question:

The dcpromo wizard will guide you through which of the following installation scenarios? [check all that apply]

Creating an entirely new forest structure.

Adding a child domain to an existing domain.

Adding a new domain tree to an existing forest.

Demoting domain controllers and eventually removing a domain or forest

All of the above

Read more about Dcpromo on:

https://brainly.com/question/9473585

#SPJ4

A bird is diving for fish in the ocean. His height above the water varies sinusoidally with time at 4 seconds, he spots a fish from a maximum height of 112 ft above water. He dives and at 7 seconds, he is at a minimum height of 14ft under water. Write an equation of the bird's height above the water as a function of time.

Answers

The equation of the bird's height above the water as a function of time can be expressed as:

H(t) = A * sin (B * t + C) + D

Where:

A is the amplitude, which is the difference between the maximum and minimum

B is angular frequency (2πf)

C is the phase shift

D is the midline

The maximum height is 112 ft and the minimum height is 14 ft, so A = 98ft.

The frequency of the cycle is 4 seconds (1 cycle every 4 seconds).

Therefore, the angular frequency is 2π/4 = π/2

The bird was at maximum height of 112 ft at t=4s, so the phase shift C = 0.

The midline is the average of the maximum and minimum, so D = (112+14)/2 = 63 ft.

Therefore, the equation of the bird's height above the water as a function of time is:

H(t) = 98 * sin (π/2 * t + 0) + 63

WILL MARK AS BRAINLIEST!!!!!!!!!!!!
The point on the parabola y=x^2 that is closest to the point (9,1/2) is (______,______). The distance between the two points is ________.

Hint: Obtain an expression for the square of the distance and see where it is minimized. (you don't have to use the hint)

Answers

The point on the paraboIa y = x² that is cIosest to the point (9, 1/2) is approximateIy (2.2913, 5.2491). The distance between the two points is approximateIy 6.0291.

What is finding point on curve?

CaIcuIus optimization probIems incIude the quest for the point on a curve that is cIosest to a given point. Finding the shortest path between two Iocations on a surface or figuring out how much materiaI is required to make a certain form are just two exampIes of its numerous practicaI uses.

Finding the greatest or Ieast vaIue of a function under specific constraints is a common task in optimization issues. These kinds of issues can be found in a variety of discipIines, such as engineering, economics, physics, and bioIogy. We can increase judgements and process effectiveness by finding soIutions to optimization difficuIties.

For the given paraboIa to fund the cIosest point to (9, 1/2) we use the distance formuIa:

d = √((x2 - x1)² + (y2 - y1)²)

Let, (x, x²), be a point on the paraboIa thus:

d = √((x - 9)²  + (x² - 1/2)²)

The minimum distance is found using the derivative:

d' = (x - 9) + 2(x² - 1/2)(2x) = 0

4x³ - 4x - 17 = 0

x ≈ 2.2913

Substituting the vaIue of x we have:

d = √((2.219 - 9)²  + ((2.219)² - 1/2)²)

d ≈ 6.0291

Hence, the point on the paraboIa y = x²  that is cIosest to the point (9, 1/2) is approximateIy (2.2913, 5.2491). The distance between the two points is approximateIy 6.0291.

Learn more about parabola here:

brainly.com/question/4074088

#SPJ1

2 bags of dog food. How many days will 3/4 last?

Answers

Answer:

3/4 of a bag of dog food will last 3 days.

Find g. Write your answer as a whole number or a decimal. Do not round.

Answers

The value of length of side g using the  similar triangles is found as 20 ft.

Explain about the similar triangles?Triangles that are similar to one another in terms of shape, angle measurements, and proportion are said to be similar.If the single difference between two triangles is their size and perhaps the requirement to rotate or flip one of them, then they are similar.

In the given figures:

DC || EA

So,

∠D = ∠A

∠C = ∠E

By Angle -Angle similarity both triangles are similar.

Thus,

Taking the ratios of their side, it will be also equal.

EA / DC = EB / BC

5 / 10 = g / 10

g = 10*10 / 5

g = 100 / 5

g = 20

Thus, the value of length of side g using the  similar triangles is found as 20 ft.

Know more about the similar triangles

https://brainly.com/question/14285697

#SPJ1

A class Eleventh Maths teacher Khushali wrote some sets in set builder form on a black board of class;A={x: xis a prime natural number and x is less than equal to 7 }
B ={y: y is an odd natural number and y E 7}
Where Universal set U = {l,2,3,4,5,6,7,8}

i)Write sets A and B in roster form
ii)Find A u B and A n B
iii)Find the number of all subsets of universal set U and number of relations from A to B

Answers

Step-by-step explanation:

i)

A = {2, 3, 5, 7}

as "1" can only be divided by one number (instead of the usual 2 numbers for prime numbers), if it's not part of that set.

out of U = {1, 2, 3, 4, 5, 6, 7, 8}

B = {1, 3, 5}

I am not sure what you mean by "y E 7".

I don't think you mean the E7 algebraic group.

I decided you mean y <> 7 (not equal to 7).

ii)

A u B (united) = {1, 2, 3, 5, 7}

A n B (elements in common) = {3, 5}

iii)

a set with n elements has 2^n subsets and (2^n) - 1 proper subsets (all subsets minus the equal one).

our U here has 8 elements, so the number of subsets is

2⁸ = 256.

the number of relations from A to B is 2^|A×B| = 2^(|A|·|B|).

|A| = 4

|B| = 3

so the number of relations from A to B are

2^(4×3) = 2¹² = 4096

remember, for the number of possible relations we have 4×3 = 12 possible combinations of elements of A and engender of B.

each of these combinations can be in the set of relations or not, which gives us 2 options per combination.

that gives us 2¹² relations.

The position of a particle moving in the xy-plane is given by the parametric functions x (t) and y(t), where = t sin (nt") and (3t+1) . The position of the particle is (2,7) at time t = 3. What is the particle's position vector («(t), y(t)) ? dy dt 30 sin (mtº) + 2t* cos(xt) 180 (3t+1)' :) B 2n cos (*t) +2 - 27, 10 31+1 + 8 C (cos (t) +2 -1 - + 8) D (cos (182) +2 -1 - +10)

Answers

The position of the particle moving in the x-y plane is given by the parametric functions x(t) and y(t), where = t sin(n t'') and (3t+1). The position of the particle is (2) , 7) at time t = 3.

In mathematics, a parametric equation defines a set of quantities as a function of one or more independent variables called parameters. [1] Parametric equations are often used to represent the coordinates of points that constitute geometric objects such as curves or surfaces, called respectively parametric curves and parametric surfaces. In this case, the equations are collectively referred to as the object's parametric representation or parameter system or parametrization (or orthographic parametrization)

The velocity of the particle is zero at t = 1 second

v(x) = dx/dt

     = d/dt (3t²- 6t)

     = 6t−6.

At t = 1, v(x) = 0

v(y) =dy/dt

     = d/dt (t²−2t)

     =2t−2.

At t=1,

v(y) = 0

Hence v = [tex]\sqrt{v_x^2 + v_y^2}[/tex]  = 0

Learn more about Functions:

https://brainly.com/question/12431044

#SPJ4

calculate zeff for a valence electron in carbon using slater's rules. submit an answer to two decimal places.

Answers

The value of Zeff for a valence electron in carbon using slater's rule is equals to 3.60.

Effective nuclear charge (Zeff) for a valence electron in carbon using Slater's rules,

Consider the shielding effect of the inner electrons.

Slater's rules state that the effective nuclear charge felt by an electron in an atom = the actual nuclear charge minus the shielding constant for that electron.

The shielding constant for an electron in a particular shell is determined by summing the contributions of all the electrons in inner shells.

Slater assigned the following shielding constants for each shell,

Electrons in the same shell contribute 0.35

Electrons in the next inner shell contribute 0.85

Electrons in all inner shells beyond that contribute 1.00

Carbon has an atomic number of 6, so it has six electrons.

The first two electrons are in the inner shell, leaving four valence electrons in the outer shell.

Zeff for a valence electron in carbon,

Consider the contributions of the inner electrons.

Two electrons in the 1s orbital contribute

2× 0.35 = 0.70 to the shielding constant.

The two electrons in the 2s orbital contribute

2 × 0.85 = 1.70 to the shielding constant.

There are no electrons in the 2p orbitals,

This implies,

They do not contribute to the shielding constant.

Thus, the effective nuclear charge felt by a valence electron in carbon is,

Zeff

= 6 - 0.70 - 1.70

= 3.60

Rounding to two decimal places, we get,

Zeff = 3.60

Therefore, the Zeff for a valence electron in carbon is equals to 3.60.

learn more about electron here

brainly.com/question/7140442

#SPJ4

f(n) = 45 . J |K 4 5 n-1 Complete the recursive formula of f(n). ƒ(1) = f(n) = f(n-1).​

Answers

Answer:

It looks like there might be a typo in the expression given. Assuming that "J" and "K" are just placeholders, we can write the expression as:

f(n) = 45 * |4 - 5(n-1)|

To find the recursive formula for this sequence, we need to determine how each term relates to the previous term. We can start by looking at the first few terms of the sequence:

f(1) = 45 * |4 - 5(1-1)| = 45 * |4 - 5(0)| = 45 * |4| = 180

f(2) = 45 * |4 - 5(2-1)| = 45 * |4 - 5(1)| = 45 * |-1| = 45

f(3) = 45 * |4 - 5(3-1)| = 45 * |4 - 5(2)| = 45 * |-6| = 270

From this, we can see that the sign of the expression inside the absolute value changes with each term, alternating between positive and negative. Furthermore, the magnitude of this expression increases by 5 with each term. We can use these observations to write the recursive formula:

f(1) = 180

f(n) = f(n-1) + (-1)^(n-1) * 5 * 45 for n >= 2

This formula says that the first term in the sequence is 180, and each subsequent term is found by adding or subtracting 225 (5 * 45) from the previous term, depending on whether n is odd or even.

(please mark my answer as brainliest)

Some friends went out for a meal. The restaurant added a 10% service charge to the cost of the meal. The total bill was £126.50 including the service charge. What was the cost of the meal? Give your answer in pounds (£). Receipt Cost of the meal: £ Service charge: +10% Total: £126.50​

Answers

Answer:


Let's start by setting up an equation to represent the problem. Let x be the cost of the meal:

x + 0.1x = 126.50

Simplifying the left side of the equation:

1.1x = 126.50

Dividing both sides by 1.1:

x = 115

Therefore, the cost of the meal was £115.

Other Questions
if a basketball and a medicine ball are dropped from the same height at the same time, without air resistance, which ball would land first? explain an organization with a well-defined hierarchy has a clear , which is the line of authority that extends from one level of the organization to the next, from top to bottom, and makes clear who reports to whom. PLS HELP ASAPPP(question in picture below) + brainliest/50 points tyy Will is building a rectangular fence around his farm. The total distance around the fence is 54 meters long. The length is 12 meters long, how long is the width? Suppose I'm trying to prove that 2 divides n2 - n for any natural number n If the end/goal of my induction step is 2 divides p2 Then my inductive hypothesis must have been Select one: a. n-n is true for n-0,1...,p-1 b.2 divides n2 - n for n-0,1,..,k-1 C. 2 divides n - n for n=0,1,...,p-1 d. 2 divides n-n for n=0,1,...,p e. 2 divides n -n for n=0,1,...,p+1 A polarized light is incident on several polarizing disks whose planes are parallel and centered on common axis. Suppose that the transmission axis of the first polarizer is rotated 19 relative to the axis of polarization of the incident ight and tat e n miss on aus of each additional analyzer is rotated 19 relative to the transmission axis of the previous one. What is the minimum number of polarizer needed whole number), so the transmitted light through all polarizing sheets has an intensity that is less than 18% that striking the first polarizer? metamorphic rock that contains no minerals. group of answer choices greenstone soapstone anthracite shale remy corporation sold 5,400 units of its product at a price of $29 per unit. total variable cost per unit is $15.50, consisting of $14.60 in variable cost of goods sold and $0.90 in variable selling and administrative cost. compute the contribution margin for the company. multiple choice the road not taken. How do lines 9-12 affect the meaning of the poem? Solve the pair of simultaneous equationsy = x-x+3y = 6-3x. how many different player nationalities were included in the confirmed squads by the uefa champions league teams which qualified for the knockout stage of the uefa champions league on february 2nd, 2023 ? The Venn diagram here shows the cardinality of each set. Use this to find the cardinality of the given set. Chemistry Assertion and Reasoning B) Assertion and Reasoning Direction: in the following questions, a statement followed by a statement of reason (R). Mark the correct choice as:(A) Both Assertion (a) And Reason (R) Are true and Reason (R) Is thd correct explanation of assertion (A)(B) Both Assertion (A) And reason ( R) Are true but Reason (R) Is not correct explanation of assertion (A) (C) Assertion (A) is true but reason ( R) is false (D) Assertion (A) is false but reason (R) is true Assertion: Calcium And Argon are isobars Reason: Calcium And Argon Have Same Mass Numbers Assertion: the number of valence electrons in oxygen atoms is 6 Reason: the valency of Oxygen atom is 6 Assertion: most of the Alpha Particles in Rutherfords experiment passed straight through gold foilReason: The Centre Of The Atom Is Positively Charged Answer ASAP PLEASE! during the 2005 iraqi elections, which groups partnered to win the majority and in turn got to form the government an choose the prime minister? A researcher who stands in a shopping mall and approaches anyone who looks to him likethey would complete a survey is using random sampling.a. True b. False. Determine the length of HK true or false. mental rotation activates similar brain regions as performing a physical rotation. The sum of a geometric series is 55.5625. The first term of the series is 28, and its common ratio is 0.5. How many terms are there in the series?(Type a whole number.) Help with this graph please what is the Taylor's series for 1+3e^(x)+x^2 at x=0