How many cups of yogurt would 5 people get if they equally shared 3/4 cups of yougurt

Answer:

 line that intersects two or more lines at a distinct points is known as transversal line.

Answer:

a4 = -3 * 4^(4-1) = -3 * 4^3 = -3*64 = -192

Step-by-step explanation:

A geometric sequence is a sequence of numbers such that the ratio of any two consecutive terms is always the same. In this case, the given sequence is -3, -12, -48, -192, -768.

To find the explicit formula for this geometric sequence, we can use the following formula:

an = a1 * r^(n-1)

where:

a1 is the first term in the sequence (-3)

an is the nth term in the sequence

r is the common ratio (the ratio between any two consecutive terms)

To find the common ratio, we can divide -12 by -3, -48 by -12, -192 by -48, and -768 by -192, and in all cases we get r = 4

Therefore, the explicit formula for this geometric sequence is:

an = -3 * 4^(n-1)

This formula can generate any term of the sequence given the value of n.

So, for example, the fourth term of the sequence, -192, can be obtained by inputting n = 4 in the explicit formula:

a4 = -3 * 4^(4-1) = -3 * 4^3 = -3*64 = -192

Answer:

p is less than or equal to 835

Step-by-step explanation:

Up to 835 people can fit in the concert, therefore the answer is p<=835.

Answer:

16.84

Step-by-step explanation:

The value of y is 58 and RS is 55.25 and ST is 17.5.

Equation is an expression that consists of variables, constants, and operators, and expresses a relationship between them. It is a mathematical statement that two expressions are equal. Equations can be used to solve a wide variety of problems in mathematics, science, engineering, and other fields. Examples of equations include the Pythagorean Theorem, the equation of a circle, and the equation of a line. Equations can be written in a variety of forms, such as symbolic, graphical, and numerical.

The value of y can be found by solving the equation 8y+4=58. By subtracting 4 from both sides, we get 8y=54.

Dividing both sides by 8, we get y=6.75.

Therefore, RS=8y+4=8(6.75)+4=55.25 and

ST=2y+4=2(6.75)+4=17.5.

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Answer:

Step-by-step explanation:

Answer is 26.   Plug in each of the numbers. (8x4)-6

Answer:

220√3

Step-by-step explanation:

220 x tan60°

220√3

[tex]\dfrac{1}{2} x+4=-26[/tex]

Subtract 4 from both sides:

[tex]\dfrac{1}{2} x+4-4=-26-4[/tex]

[tex]\dfrac{1}{2} x=-30[/tex]

Multiply both sides by 2:

[tex]2\times(\dfrac{1}{2} x)=2\times(-30)[/tex]

[tex]\fbox{x = -60}[/tex]

Using the concept of similar triangles, the height of the tree is; Option D: 38 ft 6 inches.

Similar triangles are defined as triangles that have the same shape, but then their sizes may vary. This means that equilateral triangles and squares are good examples of similar objects. Thus, if two triangles are similar, then it means that their corresponding angles are congruent and corresponding sides are in equal proportion.

Thus, applying the principle of similar triangles above to the given image, if the height of the tree is h, then we have;

5/3.25 = h/25

h = (25 * 5)/3.25

h = 38.462 ft = 38 ft + 0.462 ft

Now, conversion of ft to inches gives 0.462 ft approximately 6 inches Thus, our final answer is 38 ft 6 inches.

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The volume of a cone is given by the formula V = (1/3) * π * r^2 * h Where the volume of this cone is approximately A:2016.

The volume of a cone is a measure of the amount of space inside the cone.

It is calculated using the formula: V = (1/3) * π * r^2 * h, where V is the volume, r is the radius of the base of the cone, h is the height of the cone, and π is the mathematical constant pi (approximately equal to 3.14).

The volume of the cone is the amount of space inside the cone, and is measured in cubic units (such as cubic centimeters, cubic meters, etc.).

From the diagram, we can see that the radius of the base of the cone is 4 and the height is 8. Plugging these values into the formula, we get:

V = (1/3) * π * 4^2 * 8

V = (1/3) * π * 16 * 8

V = (1/3) * 64π

The volume of this cone is approximately A:2016.

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The expression for the magical coin for d days will be [tex]C = (3)^d[/tex].

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that A magical $1 coin that triples every day. The coin turns into three coins on the first day. The three coins turn into nine coins on the second day. The nine coins tripled to 27 coins on the third day. This doubling will continue for 28 days.

The equation can be written as,

[tex]C = (3)^d[/tex]

At d = 28, the value of the coin will be,

C = (3)²⁸

C = $2.28 x 10¹³

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The next number in the given pattern is 1/4

What is Geometric Progression ?

Geometric progression can be defined as the sequence of numbers in which the common ratio between any consecutive numbers is same.

Given sequence ,

1/324  , 1/108 , 1/36 , 1/12

Lets check whether they are in Geometric sequence or not.

So,

r = 1/108  /  1/324

r = 324/108

r = 3

And

r = 1/36  /  1/108

r = 108/36

r = 3

So, The common ratios are same , it is in Geometric sequence

So , the next term could be

= 1/12  *  3

= 1/4

So, the next term could be 1/4

Hence, The next number in the given pattern is 1/4

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Answer:

298078.228074

Step-by-step explanation:

we add 6.8% of the population to the city each year

city population in year x + 1 = city population in year x + 6.8% of city population in year x = city population in year x + 0.068 * city population in year x = 1 * city population in year x + 0.068 * city population in year x = 1.068 * city population in year x

we multiply the population by 1.068 each year to get the next year's population

thus, over a period of y years, we would multiply the population by 1.068 y times.

start = 34000 in 1937

difference in years = 1970 - 1937 = 33

final amount = 34000 * 1.068 33 times = 34000 * 1.068^33 = 298078.228074

The commutative property is given by a×b=b×a

The commutative property states that the numbers on which we operate can be moved or swapped from their position without making any difference to the answer. The property holds for Addition and Multiplication, but not for subtraction and division.

Given here: The law simply states that with addition and multiplication of numbers, you can change the order of the numbers in the problem and it will not affect the answer. Let the two numbers be a and b

Then we get a×b=b×a

Hence, The commutative property is given by a×b=b×a

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Answer:

11 and 28

Step-by-step explanation:

ok is a unatural and is the probability of the worst role in all of the curriculum in this field will

Answer:

11 and 28 are the numbers your looking for

Step-by-step explanation:

had a problem like this on a test

Answer:

Step-by-step explanation:

Ivy is incorrect. An ellipse would also fit her definition(since an ellipse has no corners and a shape that is round and closed)

Ethan is correct. A circle is a set of all points some fixed distance away from some fixed point.

Ebuka is incorrect. A half circle will also fit her definition.

Answer:

no

Step-by-step explanation:

simple interest formula:

final amount = initial balance * (1 + interest rate * time)

rate = 7.5% = 0.075

initial balance = 320

time = 3

is the final amount of 320 * (1 + 0.075 * 3) greater than or equal to 400?

320 * (1 + 0.075 * 3) = 392 so no

Answer:

18/1,200?

Step-by-step explanation:

im not too sure on this

The answer is true

15 x 32 x 2 = 2 x 15 x 32

960=960

Answer:

it is true because the answers are the same

Step-by-step explanation:

Answer: A transformation of a function such as y = f(x) is a way to change the appearance of its graph by applying certain rules to it. In this case, the graph of function g is a translation right 5 units and up 1 unit of the graph of f.

To find the equation of the transformed function g, we can take the equation of the parent function, which is y = f(x) = x^2 and apply the translation rules (right 5 units and up 1 unit) to it.

The translation right 5 units means that the x-coordinate of each point on the graph of f is increased by 5 units. So this can be written as x = x+5

The translation up 1 unit means that the y-coordinate of each point on the graph of f is increased by 1 units. So this can be written as y = y+1

Substituting x = x+5 and y = y+1 in the equation of the parent function y = x^2 gives the equation of g in the form:

y = (x+5)^2 + 1

So the equation of g is y = (x+5)^2 +1

This equation is a parabola with a vertex that

Step-by-step explanation:

Omar needs to invest $9,788, to the nearest dollar, for the value of the account to reach $32,400 in 20 years

Compound interest is computed as interest on the principle of an account plus any accrued interest.

Compound interest can be calculated using the following formula:

x = P (1+r/n[tex])^{nt}[/tex]

,where x = compound interest

P = principal (the initial deposit or loan amount)

r = annual interest rate

n = the number of compounding periods per unit of time

t = the number of time units the money is invested or borrowed for

Given:

Omar is going to invest in an account paying an interest rate of 6% compounded monthly.

A =  $32,400 in 20 years

First, convert R as a percent to r as a decimal

r = R/100

r = 6/100

r = 0.06 per year,

Then, solve the equation for P

P = A / (1 + r/n[tex])^{nt}[/tex]

P = 32,400.00 / (1 + 0.06/12[tex])^{(12)(20)}[/tex]

P = 32,400.00 / (1 + 0.005[tex])^{240}[/tex]

P = $9,787.91

P = $9788  to the nearest dollar.

Therefore, the investing amount is $9,788.

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Answer:

On top: 3.9

2nd row: 42

3rd row: 12.6

4th row: 12.6

Top of area model:

3 and .9

Step-by-step explanation:

Long division has a rhythm of four steps. The outside number(divisor) goes into the inside number (dividend, but just a piece of it). Write the answer (quotient) on top. Multiply the top × the outside number. Write it below. Subtract down. Bring down another digit. See image.

The area model is based on length times width. See image.

A contour map/ plot is a way of representing a function with a two-dimensional input and a one-dimensional output.

Contours are obtained by intersecting the surface with the horizontal plane using the equation z = c. So the contour equation at height c is f(x,y) = c.

There are three types of contour lines displayed on the map:

Intermediate, Index, Supplement. The index line is the thickest contour line, and the points along the line are usually function numbered. Contours do not branch or split. Page 5 Steep slopes are represented by dense contour lines. Contour lines never intersect, but they can touch.

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Answer:

.75 pounds= $1.77, 1.25 pounds=$2,95, 2 pounds=$4.72, 2.5 pounds= $5.90

Step-by-step explanation:

multiply each number in the pounds column by 2.36 to get the total cost

.75(2.36)=1.77

1.25(2.36)=2.95

2(2.36)=4.72

2.5(2.36)=5.9

No, V is not a vector space with the operations defined in this way. Because the operations defined in this question do not satisfy the properties required for V to be a vector space.

A vector space is a collection of objects (vectors) that can be added together and multiplied ("scaled") by numbers, called scalars. These operations must satisfy certain properties to be considered a vector space.

For example, one of the properties is the associativity of vector addition, which means that (u + v) + w = u + (v + w) for any vectors u, v, and w in V. However, with the given definition of +, we have (U + V) + W = (UV-1) + W = U(VW-1) which is not equal to U + (V + W) = U(VW-1)

Another property is the distributivity of scalar multiplication over vector addition, which means that c(u + v) = cu + cv for any scalar c and any vectors u and v in V. But with the given definition of ., we have C(U+V) = C(UV-1) which is not equal to C.U + C.V = CUV-1

Furthermore, with the definition given the additive identity and the existence of additive inverse are not guaranteed.

Therefore, V is not a vector space with the operations defined in this way.

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Answer:

10

Step-by-step explanation:

1.10*2=2.20

10-2.20=7.80

7.80/75=10.4

in total 10 pencils

The number of stickers on the first page of Katie's scrapbook is given by the equation A = 28 stickers

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

The number of stickers in Katie's first page of scrapbook is A

The array of stickers is = 4 rows and 7 columns

So , number of stickers in Katie's first page of scrapbook A = 4 x 7

Number of stickers in Katie's first page of scrapbook A = 28 stickers

The total number of stickers in the scrapbook for page 2 and 3 is

A = ( 4 x 4 ) + ( 3 x 4 )

Taking the common factor as 4 , we get

A = 4 ( 4 + 3 )

By using the distributive property , we get

A = 4 x 7

A = 28 stickers

Therefore , the value of A is 28

Hence , the equation is A = ( 4 x 4 ) + ( 3 x 4 )

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Answer:

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