answer asap please!!

Answer Asap Please!!

Answers

Answer 1

Answer:

61.6 units

Step-by-step explanation:

C (-8,-10)

D (8,10)

E (-8,10)

find the distance between the following points

CD = 25.6

DE = 16

EC = 20

Add them all up

61.6 units


Related Questions

You have a job earning $12.50 per hour, and you receive a raise so that you earn $13.25 per hour. What is the percent change in your salary?

Answers

Answer: 6 %

Step-by-step explanation: 6 % of 12.5 = 0.75. 12.5 plus 0.75 = 13.25

Enter the letter of the graphed
function.
-
-
a.y = (x + 2)(x − 1)(x − 3)
b.y = (x + 2)(x - 1)(x - 3)²
-
c. y = (x + 2)(x − 3)(x - 1)²
d.y= (x - 1)(x − 3)(x + 2)²
e.y = (x - 1)(x - 3)(x + 2)³

Answers

The graphed function is: y = (x + 2)(x − 1)(x − 3).

Option (a) is correct.

From the graph given in the question, it can be seen that the graph has 3 critical points, namely, x= -2, x = 1 and x = 3.

From all the five options given, the first option, that is, y = (x + 2)(x − 1)(x − 3), has the critical points x= -2, x = 1 and x = 3.

The critical points for a function are obtained by substituting the function to be equal to zero.

So, (x + 2)(x − 1)(x − 3) = 0

That is, x= -2, x = 1 and x = 3.

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Find the surface area of this cone.

60π m2

20π m2

36π m2

54π m2

Answers

The surface area of a cone with radius of 4 m and slant height of 5 m is 36π m²

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

The surface area of a cone with radius (r) and slant height (l) is:

S.A = πr(r + l)

Given that r = 4, l = 5, hence:

S.A = π(4)(4 + 5) = 36π m²

The surface area of a cone with radius of 4 m and slant height of 5 m is 36π m²

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Answer:

36π m2

Step-by-step explanation:

What is the sum of the
HCF and
LCM of the
number
2³ x 3² x 5x7 and
2² x 5² x 11

Answers

Step-by-step explanation:

. Find the factors of 330.

(a)2 x 4 x 5 x 11

(b)2 x 3 x 7 x 13

(c)2 x 3 x 5 x 13

(d)2 x 3 x 5 x 11

Show Answer

2. Find the factors of 1122.

(a)3 x 9 x 17 x 2

(b)3 x 11 x 17 x 2

(c)9 x 9 x 17 x 2

(d)3 x 11 x 17 x 3

Show Answer

3. 252 can be expressed as a product of primes as

(a)2 x 2 x 3 x 3 x 7

(b)2 x 2 x 2 x 3 x 7

(c)3 x 3 x 3 x 3 x 7

(d)2 x 3 x 3 x 3 x 7

Show Answer

4. Which of the following has most number of divisors?

(a)99

(b)101

(c)176

(d)182

Show Answer

5. A number n is said to be perfect if the sum of all its divisors (excluding n itself) is equal to n. An example of perfect number is

(a)6

(b)9

(c)15

(d)21

Show Answer

6. 1095/1168 when expressed in simplest form is

(a)13 / 16

(b)15 / 16

(c)17 / 26

(d)25 / 26

Show Answer

7. Reduce 128352 / 238368 to its lowest terms

(a)3/4

(b)5/13

(c)7/13

(d)9/13

Show Answer

8. The simplest reduction to the lowest terms of 116,690,151 / 427,863,887 is

(a)3/11

(b)7/11

(c)11/3

(d)None of these

Show Answer

9. The highest common factor of 0 and 6 is

(a)0

(b)3

(c)6

(d)Undefined

Show Answer

10. The H.C.F. of 2² x 3³ x 5⁵, 2³ x 3² x 5² x 7 and 2⁴ x 3⁴ x 5 x 7² x 11 is

(a)2² x 3² x 5

(b)2² x 3² x 5 x 7 x 11

(c)2⁴ x 3⁴ x 5⁵

(d)2⁴ x 3⁴ x 5⁵ x 7 x 11

Show Answer

11. The H.C.F. of 2⁴ x 3² x 5³ x 7, 2³ x 3³ x 5² x 7² and 3 x 5 x 7 x 11 is

(a)105

(b)1155

(c)2310

(d)27720

Show Answer

12. H.C.F. of 4 x 27 x 3125, 8 x 9 x 25 x 7 & 16 x 81 x 5 x 11 x 49 is

(a)180

(b)360

(c)540

(d)1260

Show Answer

13. Find the highest common factor of 36 and 84.

(a)4

(b)6

(c)12

(d)18

Show Answer

14. Even numbers are formed by taking at least two at a time from the numbers 0, 4, 8, 9. Their H.C.F. is

(a)2

(b)4

(c)10

(d)None of these

Show Answer

Billy eats 28 apples and he had 40 apples at the start a kid asks for an apple how many apples are there left?

Answers

Answer: 11

Step-by-step explanation: 40-28= 12-1=11

Answer:

11 apples are left.

Step-by-step explanation:

Since Billy ate 28 apples from the 40 apples he had at the start, you have to subtract 40-28, which equals 12. Lastly, you subtract 12-1, since a kid asks Billy for an apple.

i need this solved asap please do so

Answers

The simplified expression for h(x) = f(x)/g(x) is [tex]h(x) = \frac{1}{3}\cdot \frac{x-4}{x-\frac{2}{3} }[/tex] and the domain of the function is all real numbers except x = 2/3.

How to determine the domain of a rational function

In this problem we have a rational function, the domain of rational functions is the set of all real numbers except the values such that the denominator becomes zero. First, we need to simplify the division of two rational functions:

[tex]h(x) = \frac{\frac{3\cdot x^{2} + 17\cdot x + 20}{3\cdot x^{2} + 10\cdot x - 8} }{\frac{3 \cdot x^{2} + 8\cdot x + 5}{x^{2}-3\cdot x - 4} }[/tex]

[tex]h(x) = \frac{(3\cdot x^{2}+17\cdot x + 20)\cdot (x^{2}-3\cdot x - 4)}{(3\cdot x^{2}+10\cdot x - 8)\cdot (3\cdot x^{2}+8\cdot x + 5)}[/tex]

[tex]h(x) = \frac{1}{3}\cdot \frac{\left(x^{2}+\frac{17}{3}\cdot x + \frac{20}{3} \right)\cdot (x^{2}-3\cdot x - 4)}{\left(x^{2}+\frac{10}{3}\cdot x -\frac{8}{3}\right)\cdot \left(x^{2}+\frac{8}{3}\cdot x +\frac{5}{3} \right)}[/tex]

[tex]h(x) = \frac{1}{3}\cdot \frac{\left(x + \frac{5}{3} \right)\cdot (x+4)\cdot (x - 4)\cdot (x+ 1)}{\left(x-\frac{2}{3} \right)\cdot (x + 4)\cdot (x + 1)\cdot \left(x + \frac{5}{3} \right)}[/tex]

[tex]h(x) = \frac{1}{3}\cdot \frac{x-4}{x-\frac{2}{3} }[/tex]

The simplified expression for h(x) = f(x)/g(x) is [tex]h(x) = \frac{1}{3}\cdot \frac{x-4}{x-\frac{2}{3} }[/tex] and the domain of the function is all real numbers except x = 2/3.

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Part of your job as manager is to count the cash for the daily bank deposit. When you count the cash, you have 47 ones, 22 fives, 9 tens and 17 twenties. You also have 67 pennies, 12 nickels, 9 dimes and 15 quarters. What is the total amount of the deposit?

Answers

The total amount of the deposit is  $592.92.

What is the total amount of the deposit?

The total amount of the deposit can be determined by adding all the money deposited together.

(47 x 1) + (22 x 5) + (9 x 10) + (17 x 20) + (67 x 0.01) + (0.05 x 12) + (9 x 0.1) + (15 x 0.25)

47 + 110 + 90 + 340 + 0.67 + 0.60 + 0.9 + 3.75 = $592.92

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Name the figure below in two different ways!
Need help fast!

Answers

Answer:

IM  and  YM

Step-by-step explanation:

not sure about the symbol part, but it's a ray !!

Answer: IM and YM

Step-by-step explanation:

It can be broken down into to different rays

The height "h" of a ball thrown straight up with a velocity of 88 ft/s is given by h = -16t^2 + 88t where "t" is the time it is in the air. For how many seconds the ball is in the air before it hits the ground?

Answers

By definition of the zeros of ta quadratic function,  for 5.5 seconds the ball is in the air before it hits the ground.

Zeros of a function

The points where a polynomial function crosses the axis of the independent term (x) represent the so-called zeros of the function.

That is, the zeros represent the roots of the polynomial equation that is obtained by making f(x)=0.

In summary, the roots or zeros of the quadratic function are those values ​​of x for which the expression is equal to 0. Graphically, the roots correspond to the abscissa of the points where the parabola intersects the x-axis.

Time the ball is in the air before it hits the ground

In this case, the height "h" of a ball thrown straight up with a velocity of 88 ft/s is given by h = -16t² + 88t, where "t" is the time it is in the air.

When the ball hits he ground, he height h has a value of zero. This is h=0. Replacing in the previous expression for the height you get:

0= -16t² + 88t

It can be solved by extracting the term "t" as a common factor:

0= t×(-16t + 88)

The Zero Product Principle says that if the product of two numbers is 0, then at least one of the factors is 0. Then:

t= 0

or

0= -16t + 88

Solving: -88= -16t

(-88)÷ (-16)=t

5.5= t

Finally, this means that for 5.5 seconds the ball is in the air before it hits the ground.

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5.5(x+6 1/2)-(x+9 1/3) - (19-x)

Answers

The simplest form of the expression given in the task content is; 5.5x +7.42.

What is the simplest form of the expression?

The expression given in the task content is;

5.5(x+6 1/2)-(x+9 1/3) - (19-x)

Hence, the expression can be written in its simplest form as follows;

5.5x + 35.75 -x -9.33 -19 +x

= 5.5x +7.42.

Remarks: The complete task requires that the expression be written in its simplest form.

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Find the area of the trapezoid. 15ft 10ft 20ft

Answers

Answer: 175 ft squared

Step-by-step explanation: A= a + b / 2h= 20 + 152 · 10 = 175

Need help with defining this question.

Answers

Answer:

B.) 19

Step-by-step explanation:

According to F(5), the question wants you to plug x = 5 into the equation. Then, you need to simplify to find the output.

F(x) = x² - 2x + 4                             <----- Original equation

F(5) = (5)² - 2(5) + 4                        <----- Plug 5 into "x"

F(5) = 25 - 10 + 4                            <----- Solve 5² and -2 x 5

F(5) = 19                                         <----- Combine like terms

A=(-3,-2) B=x,3 C=(4,5) if AB = BC what is the value of X

Answers

Answer:

x=1

Step-by-step explanation:

[tex] \sqrt{( - 3 - x) ^{2} + {( - 2 - 3)}^{2} } = \\ \sqrt{ {(4 - x)}^{2} + {(5 - 3)}^{2} } \\ \\ 9 + 6x + {x}^{2} + 25 = \\ 16 - 8x + {x}^{2} + 4 = = = > \\ 34 + 6x = 20 - 8x = > \\ 14 = 14x = = = > x = 1[/tex]

Done

The value of x that makes up the coordinate of B is -1

How to find the value of x

To find the value of x, we need to determine the coordinates of point B.

Since A to (B) = B to (C), the distance from point A to point B is equal to the distance from point B to point C. The distance between two points in a coordinate plane can be calculated using the distance formula:

Distance = √((x₂ - x₁)² + (y₂ - y₁)²)

Let's calculate the distances:

Distance A to (B):

x₁ = -3 (x-coordinate of point A)

y₁ = -2 (y-coordinate of point A)

x₂ = x (x-coordinate of point B)

y₂ = 3 (y-coordinate of point B)

Distance A to (B) = √((x - (-3))² + (3 - (-2))²)

Distance A to (B) =√((x + 3)² + 5²)

Distance A to (B) = √(x² + 6x + 9 + 25)

Distance A to (B) = √(x² + 6x + 34)

Distance B to (C):

x₁ = x (x-coordinate of point B)

y₁ = 3 (y-coordinate of point B)

x₂ = 4 (x-coordinate of point C)

y₂ = 5 (y-coordinate of point C)

Distance B to (C) = √((4 - x)² + (5 - 3)²)

Distance B to (C) = √((4 - x)² + 2²)

Distance B to (C) = √((4 - x)² + 4)

Distance B to (C) = √(x² - 8x + 20)

Since A to (B) = B to (C):

√(x² + 6x + 34) = √(x² - 8x + 20)

Now, we can square both sides to get rid of the square root:

x² + 6x + 34 = x² - 8x + 20

Next, move all the x terms to one side of the equation:

x² - x² + 6x + 8x = 20 - 34

Combine like terms:

14x = -14

Finally, solve for x:

x = -14 / 14

x = -1

So the value of x is -1. Point B is located at (-1, 3).

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Two friends, Jamie and Devin, are working together at the Sparrowtown Cafe today. Jamie works every 2 days, and Devin works every 7 days. How many days do they have to wait until they next get to work together?

Answers

Answer:

14 days

Step-by-step explanation:

let assume they both work on Monday (today)

devin works every 7 days,that is devin works every Monday.

jamie has to work for 14 days inorder to work with devin again

What is the solution to the equation below? (Round your answer to two
decimal places.)
5 Inx= 3.5
A. x = 4.17
B. x = 3.98
C. x = 42.40
D. x=201

Answers

Answer: 2.01

Step-by-step explanation:

[tex]5\ln x=3.5\\\\x=\frac{3.5}{5}\\\\x=e^{3.5/5}\\\\x \approx 2.01[/tex]

Find the remainder when f(x) = 8x^3+4x^2-13x+3 is divided by 2x+5

Answers

Answer:

-129

Step-by-step explanation:

good luck

Write the number in words 203681 ​

Answers

Answer:

203681

203,681

Two hundred and three thousand, six hundred eighty-one

Step-by-step explanation:

The number 203681 in words can be written as two hundred and three thousands, six hundred and eighty-one.

In the question, we are asked to write the number 203681 in words.

In the given number, we have:

1 at the units place,8 at the tens place,6 at the hundreds place,3 at the thousands place,0 at the ten thousand places, and2 and the hundred thousand place.

Keeping the thousands as different section, we have 203 in thousands section, and 681 in the remaining.

203 can be named as two hundred and three.

681 can be named as six hundred and eighty-one.

Since, 203 is in the thousands section, we add thousand in its name.

Thus, the name we get is two hundred and three thousands, six hundred and eighty-one.

Thus, the number 203681 in words can be written as two hundred and three thousands, six hundred and eighty-one.

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HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! pls <3

Answers

Answer:

[tex]y=\frac{2}{3}x+\frac{4}{3}[/tex]

Step-by-step explanation:

Let's write the equation of the line in the slope-intercept form. That is, y= mx +c, where m is the slope and c is the y-intercept.

Identify 2 coordinates on the line to calculate the slope.

The 2 points are (1, 2) and (4, 4).

Slope

[tex]=\frac{y_1-y_2}{x_1-x_2}[/tex]

= [tex]\frac{4-2}{4-1}[/tex]

= [tex]\frac{2}{3}[/tex]

Substitute the value of the slope into m:

[tex]y=\frac{2}{3}x+c[/tex]

Substitute any point into the equation to find c:

When x= 1, y= 2,

[tex]2= \frac{2}{3}(1)+c[/tex]

Solve for c:

[tex]c= 2-\frac{2}{3}[/tex]

c= [tex]\frac{4}{3}[/tex]

Thus, the equation that represents the line is [tex]y=\frac{2}{3}x+\frac{4}{3}[/tex].

Additional:

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Question 1 1.1 Given the quadratic number pattern: 5; 10; 17; 26;.. 1.1.1 Write down the next TWO terms of the pattern. 1.1.2 D Determine the formula for the nth term of the patter 1.1.3 Which term of the pattern will have a value of 1765? 1.2 Given the quadratic pattern:x; 6; 9; y; 24; Calculate the sum of x and y. Question 2 COFF 8(1:2)​

Answers

The next two terms of the sequence based on the information given is 37 and 50.

How to illustrate the sequence?

It should be noted that from the information given, the numbers illustrated are 5, 10, 17, and 26.

In this case, there is an addition of 2 to the previous difference.

Therefore, 26 - 17 = 9.

The next number will be:

= 26 + 9 + 2 =37

The following number will be:

= 37 + 11 + 2

= 50

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ped
Complete question :

Juan is rewriting the expression 12 d minus 26 c as a product. Which statements about the expression are accurate and relevant to his rewriting the expression? Select two options. The GCF of the numbers in each term in the expression is 2. The GCF of the numbers in each term in th

Answers

So the correct statement is:

" The GCF of the numbers in each term in the expression is 2"

How to rewrite the expression as a product?

Here we have the expression:

12d - 26c

To rewrite ti as a product, we need to find the greatest common factor between 12 and 26.

The decomposition of these two numbers is:

12 = 2*2*3

26 = 2*13

The greatest common factor between the two numbers is 2, then we can rewrite:

12d - 26c = 2*(6d - 13c)

So the correct statement is:

" The GCF of the numbers in each term in the expression is 2"

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A tree is 14 meters tall. What is its height in feet? Use the following conversion: 1 meter is 3.3 feet

Answers

The answer is 46.2ft tall

josh is looking to get a new car because he decided he was spending too much on gas. over the past year he found that he drove 7,700 miles. at current gas prices [ youll need to actually consider your current cost for gasoline ]. he was getting about 27 miles per gallon. if he bought a vehicle that realizes 33 miles per gallon. what might be a reasonable estimate of monthly gas costs?

Answers

Josh's monthly fuel expenses are $1,050.

Prices

Given that Josh is looking to get a new car because he decided he was spending too much on gas, and over the past year he found that he drove 7,700 miles, and at current gas prices of $4.5 he was getting about 27 miles per gallon, To determine, if he bought a vehicle that realizes 33 miles per gallon, what might be a reasonable estimate of monthly gas costs, the following calculation must be made:

27 = 10033 = X3300 / 27 = X122.22 = X122.22 = 100100 = X10000 / 122.22 = X81.81 = X(7700 / 33) x 4.5 = X233.33 x 4.5 = X1050 = X

Therefore, Josh's monthly fuel expenses are $1,050.

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Answer:Josh's monthly fuel expenses are $1,050.

Step-by-step explanation:

in how many ways can the letters in the word payment be arranged if the letters are taken 6 at a time

Answers

Considering the definition of permutation, in 5040 ways can the letters in the word ''PAYMENT'' be arranged if the letters are taken 6 at a time.

What is Permutation

Permutation is placing elements in different positions. So, permutations of m elements in n positions are called the different ways in which the m elements can be arranged occupying only the n positions.

That is, permutations refer to the action of arranging all the members of a set in some sort of order or sequence.

In other words, permutations (or Permutations without repetition) are ways of grouping elements of a set in which:

take all the elements of a set.the elements of the set are not repeated.order matters.

To obtain the total of ways in which m elements can be placed in n positions, the following expression is used:

[tex]mPn=\frac{m!}{(m-n)!}[/tex]

where "!" indicates the factorial of a positive integer, which is defined as the product of all natural numbers before or equal to it.

This case

In this case, you have:

the letter word "PAYMENT", where the number of letters is 7.the letters are taken 6 at a time.

Then, you know that:

m= 7n=6

Replacing in the definition of permutation:

[tex]7P6=\frac{7!}{(7-6)!}[/tex]

Solving:

[tex]7P6=\frac{7!}{1!}[/tex]

7P6= 5040

Finally, in 5040 ways can the letters in the word ''PAYMENT'' be arranged if the letters are taken 6 at a time.

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Petsmart's marketing team finds in their most recent report that they sell 45 guinea pigs a
year. Their sales team wanted to increase their sales and grabbed a sample of 8 types of
rodents to put on a flash sale. They sold an average of 34 rodents with a standard
deviation of 21 rodents.

Answers

Answer:

p(x)=x3-3x2+4x+50 and g(x)=x-3

Which choice is a term in this expression -3x - 7(x+4)

Answers

-3x is a term in the expression -3x - 7(x+4)

How to determine the term?

The expression is given as:

-3x - 7(x+4)

Considering the following expression

Ax + B(x  - b)

The terms in the expressions are Ax and B(x  - b)

This means that -3x is a term in the expression -3x - 7(x+4)

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Geometry Question!! PLEASE HELp

Answers

The difference between the distance travelled by any point on the record and it's label is; 27.57cm.

What is the difference between the distance travelled in each case?

According to the task content, it follows from observation that the quantity required is the difference between the circumference in each case and can be evaluated as follows;

Difference = π(17.78 - 9)

Difference = (22/7) × 8.78

Difference = 27.57cm.

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For csc 330:
a) state value of the ratio exactly
b) find one equivalent expression
c) draw a diagram to illustarte.

Answers

The value of the ratio based on the angle illustrated is 1:12.

How to illustrate the information?

From the information given, it should be noted that the angle in a circle is 360°. Therefore, the value of theta will be:

= 360° - 330°

= 30°

The equivalent expression based on the angle will be:

= 30/360

= 1/12

= 1:12

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define cultural identity in your own words

Answers

Simply put, cultural identity is what identifies one with a group of shared identities such as music, traditions, among others.

What is Cultural Identity?

Cultural identity can be defined as the self-perception of an individual which gives them a sense of belonging to an identical group that shares same qualities which may included music, food, traditions, social class, beliefs, ethnicity, among others.

In summary, we can say that cultural identity is what identifies one with a group of shared identities such as music, traditions, among others.

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What is the value of p

Answers

Answer:

2

Step-by-step explanation:

You have the correct answer selected: 2.

The reason for this is that when there are exponents inside and outside of the parenthesis like this, they are multiplied.

2 times 2 is 4. That's why (8^2)^2 = 8^4

Answer:

p = 2

Step-by-step explanation:

[tex](8^{2}) ^{p}[/tex] = [tex]8^{4}[/tex]

  [tex]8^{2p}[/tex] =    [tex]8^{4}[/tex]

   [tex]8^{p}[/tex] = [tex]8^{\frac{4}{2}[/tex]

    p = 2

The Florida VPK assessment is considered a progress monitoring tool when administered at two assessments periods across the school year.

a. True
b. False

Answers

The given statement about the Florida VPK assessment administered at two assessments periods across the school year is; B: False

What is the Progress Monitoring Tool?

Progress monitoring or CBM is a term used in the education field to describe the process whereby the progress of students in areas like mathematics, reading, and writing are monitored on a daily and weekly basis.

Now, in Florida in the United States, This progress monitoring is called Florida Voluntary Prekindergarten (VPK) Assessment. There is usually a different version of each assessment measure that will be administered at three different times during the school-year VPK Program.

Thus, the given statement is false.

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Answer:

Step-by-step explanation:

false

Other Questions
f(x) = x + 5x-1 is shifted 3 units right. The result is g(x). What is g(x)?O A. g(x) = (x+3) + 5x-1OB. g(x)=x2 + 5x+2C. g(x) = (x+3)2 +5(x + 3) - 1D. g(x) = (x-3)2 + 5(x-3) -1 Which of these is an example of investigating an intensive property?Oweighing sand in a bagOmeasuring the length of wireO determining if a rock is magneticOrecording the volume of water in a cylinder What does the statement OD equals planned change plus mean Support Material Business functions Activity 1: Study the following scenarios and answer the questions that flow: 1.1 The sales department is constantly running out of stock because stocks are not ordered on time. The admin clerk is new and files the documents in the wrong place. The purchasing department was not even aware that they should order more stock. 1.1.1 Which department created the problem? 1.1.2 What will the consequences be if the sales department constantly runs out of stock? 1.1.3 How can the problem be solved? 1.2 The creditors are not paid on time and added interest to the account of the business. 1.2.1 Which department created the problem? 1.2.2 What will be the consequences if this continues to happen? 1.3 The workers are always complaining of the third grade stock they have to sell to customers. 1.3.1 Which department created the problem? 1.3.2 How can the problem be solved? 1.4 Clients are constantly surprised on the new items they get on the shelves and some of which they have not seen before? 1.4.1 Which department created the problem? 1.4.2 How can this problem be prevented in future? As the aggregate price level in an economy rises, ____________________. The function has three factors. Two of these factorsare and Determine the values of a and b, and then determine theother factor. The laboratory at which you are employed is providing an outreach to the local schools to test children for blood lead levels. The evacuated tubes you should use have which color stopper and which additive a(n) is a situation in which at least one party involved in a negotiation beleives that reachin an agreement is not A math class is having a discussion on how to determine if the expressions 4 x minus x + 5 and 8 minus 3 x minus 3 are equivalent. The class has suggested four different methods. PLEASE HURRY:Which describes the correct method?Both expressions should be evaluated by substituting one value for x. If the final values of the expressions are both positive after the substitution, then the two expressions must be equivalent.Both expressions should be evaluated by substituting with one value for x. If the final values of the expressions are the same, then the two expressions must be equivalent.Both expressions should be evaluated by substituting any two values for x. If for each substituted value, the final values of the expressions are positive, then the two expressions must be equivalent.Both expressions should be evaluated by substituting any two values for x. If for each substituted value, the final values of the expressions are the same, then the two expressions must be equivalent. The inherent variability of human categories makes stereotypes _____than they might otherwise be.a. more accurate.b. much less useful.c. much more useful.d. less inaccurate. Assume that the random variable X is normally distributed, with mean and standard deviation . Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded. Question 1 of 10What is the slope of the line that contains the points (-2, 5) and (6,-3)?OA. 8OB. 1O C. -1OD. -8 The cooperative organization of work into specialized tasks and roles is the? If the domestic government of a small open economy reduces government spending, the real exchange rate will __________ and net exports will ___________ a. Increase, decrease b. Increase, increase c. Decrease, increase d. decrease Why do you think a company could permit liability accounts to be overstated How many words can be formed by using all the letters of the word AWILLO, if the two L's are to be separated? Which triangle is a translation of triangle P? I run 3 miles in 20 minutes. What was my average speed in miles per hour? How much the aproximate number of atoms in bacteria.assume that average mass of an atom in bacteria is ten times the mass of hydrogen atom which option describes the climate of temperate grasslands