I NEEED HELP match the equation with the term it belongs to. 3.14 *r *r. 2* 3.14 *r

I NEEED HELP Match The Equation With The Term It Belongs To. 3.14 *r *r. 2* 3.14 *r

Answers

Answer 1

Answer:

3.14 * r * r = area of circle, 2 * 3.14 * r = circumference

Step-by-step explanation:

Remember these formulas, very important.


Related Questions

Consider the curve given by the parametric equations x=t(t2−192),y=8(t2−192) a.) Determine the point on the curve where the tangent is horizontal. t= b.) Determine the points t1​,t2​ where the tangent is vertical and t1​

Answers

a) The point on the curve where the tangent is horizontal is at t = 0.

b) The points where the tangent is vertical are at t₁ = -5 and t₂ = 5.

To find the points on the curve where the tangent is horizontal, we need to find the values of t that satisfy dy/dt = 0.

a.) Differentiating y = 3(t² - 75) with respect to t, we get:

dy/dt = 6t

Setting dy/dt = 0, we have:

6t = 0

t = 0

Therefore, when t = 0, the tangent is horizontal.

b.) To find the points where the tangent is vertical, we need to find the values of t that satisfy dx/dt = 0.

Differentiating x = t(t² - 75) with respect to t, we get:

dx/dt = 3t² - 75

Setting dx/dt = 0, we have:

3t² - 75 = 0

t² = 25

t = ±5

Therefore, the points where the tangent is vertical are when t = -5 and t = 5, with t₁ = -5 and t₂ = 5.

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The question is -

Consider the curve given by the parametric equations

x = t (t²-75) , y = 3 (t²-75)

a.) Determine the point on the curve where the tangent is horizontal.

t=

b.) Determine the points t_1,t_2 where the tangent is vertical and t_1 < t_2.

t_1=

t_2=

Consider the inequality x<1. Determine whether each value of x makes the inequality trueSelect Yes or No va Yes No 3/2 13/6

Answers

he’s right he’s right he’s right

no links no links sssssdrerw

Answers

Answer:

c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

If an apple pie recipe calls for 3 pounds of candy apples then how many cups of canned apples required

Answers

Answer:

Seven cups of canned apples are required to make apple pie recipe

Step-by-step explanation:

The weight of one canned apple is 0.45 pounds

Weight of total canned apple required to make the apple pie recipe is 3 pounds.

Total number of cups of canned apples required

[tex]= \frac{3}{0.45} \\= \frac{300}{45} \\= \frac{20}{3} \\[/tex]

So approximately seven cups of canned apples are required to make apple pie recipe

what differences can be found when contrasting the mood of third person acc with that of claudettes first person account?​

Answers

Answer: The mood of the third-person account is less emotional and more matter-of-fact. The mood of Claudette's account is less emotional and more matter-of-fact.

Step-by-step explanation:


Find the length of the diagonal of
rectangle whose length
is 12ft and whose
width 5 ft

Answers

Answer:

13 ft

Step-by-step explanation:

The formula to find the length of the diagonal of a rectangle =

Diagonal² = Length² + Width²

Diagonal = √Length² + Width²

Length = 12 ft

Width = 5ft

Diagonal = √12² + 5²

Diagonal = √144 + 25

Diagonal = √169

Diagonal = 13 ft

The length of the diagonal of the rectangle = 13 ft

Mr. Frederick teaches 4 math classes. Which class period has the most students? Use the bar graph to answer the question.

Answers

Answer:

The class in the second and longest bar graph (the one labeled 3) has the most students.

Step-by-step explanation:

When looking for the largest amount of something in bar graphs, the largest bar graph is correct. In this case the second bar graph is the longest, and we can see it indicates the class contains 28 students.

What is the equation of the line that passes through the point (7,-6) and has a slope of -2?

Answers

Answer:

y=-2+8

Step-by-step explanation:

The answer is y=-2+8 because of course the slope has to be -2 as you stated in your Question. So all you have to do is change the Y-Intercept until you reach the point. Since the Slope is negative, the Y-Intercept will rise until you reach your point. You may double check my answer to see if it is right, it is up to you. If you find any fault in my answer please let me know. Have a good day!

The augmented matrix of a system of linear equations AX = B was reduced to upper-triangular form so that 2 1 02 [AB] 3 0 where m and n are real numbers. State all values of m and/or n such that the following statements are true. (a) Matrix A is invertible. (b) The system AX- B has no solutions. (c) The system AX = B has an infinite number of solutions. (a) Columns of the augmented matrix (AB) are linearly independent. (e) The system AX = 0 has a unique solution. (f) At least one eigenvalue of the matrix A is zero. (g) Columns of the matrix A form a basis in R3.

Answers

a. Matrix A is invertible when |A| = -m ≠ 0 then statement true.

b. The system AX = B has no solution when m = 0 and n ≠ 0 has a real number then statement true.

c. The system AX = B has an infinite number of solutions when m = n = 0 then statement true.

d. Columns of the augmented matrix (AB) are linearly independent when m ≠ 0 and n= 0 then statement true.

e. The system AX = 0 has a unique solution when m ≠ 0 then statement true.

f. At least one eigenvalue of the matrix A is zero when m = 0 then statement true.

g. Columns of the matrix A form a basis in R³ when m ≠ 0 then statement true.

Given that,

The augmented matrix of a system of linear equations AX = B was reduced to upper-triangular form so that

[A|B] = [tex]\left[\begin{array}{ccc}2&1&0 \ | \ 2\\0&-1&3 \ | \ 1 \\0&0&m \ | \ n\end{array}\right][/tex]

Where m and n are real numbers.

We know that,

a. We have to prove matrix A is invertible.

For A to be invertible.

|A| ≠ 0

|A| is the determinant of the matrix A.

|A| = 2(-m) -1(0) + 0(0) = -m

Here, m is the real number.

So, |A| = -m ≠ 0

Therefore, Matrix A is invertible when |A| = -m ≠ 0 then statement true.

b. We have to prove the system AX = B has no solution.

When Rank[A|B] > Rank[A]

m = 0 and n ≠ 0 has a real number

Therefore, The system AX = B has no solution when m = 0 and n ≠ 0 has a real number then statement true.

c. We have to prove the system AX = B has an infinite number of solutions.

When m = n = 0, and Rank[A] < 3

Therefore, The system AX = B has an infinite number of solutions when m = n = 0 then statement true.

d. We have to prove columns of the augmented matrix (AB) are linearly independent.

When m ≠ 0 and m∈R and n= 0

Therefore, Columns of the augmented matrix (AB) are linearly independent when m ≠ 0 and n= 0 then statement true.

e. We have to prove the system AX = 0 has a unique solution.

When [tex]\left[\begin{array}{ccc}2&1&0 \\0&-1&3 \\0&0&m \end{array}\right]\left[\begin{array}{ccc}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}0\\0\\0\end{array}\right][/tex]

The equation are 2x + y = 0, -y + 3z = 0 and mz = 0

m ≠ 0 should be any real number except zero.

Therefore, The system AX = 0 has a unique solution when m ≠ 0 then statement true.

f. We have to prove at least one eigenvalue of the matrix A is zero.

When λ = 2, 1, m

m = 0 then eigen value is zero

Therefore, At least one eigenvalue of the matrix A is zero when m = 0 then statement true.

g. We have to prove columns of the matrix A form a basis in R³.

When m ≠ 0

Therefore, Columns of the matrix A form a basis in R³ when m ≠ 0 then statement true.

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area = ___ square units​

Answers

Answer:

9 square units

Step-by-step explanation:

Area of a square = base * height

= 3*3

= 9

Area= 9 square units

3*3=9

Area= width* length

width= 3

length= 3

width Length
3 * 3

PLEASE HELP:

The distance d, in kilometers, that a car travels at a speed of 80 km per hour, for t hours, is given by the equation d= 80t. What is the inverse to represent time, t as a function of distance, d?

Choices:
1. t= d/80
2.t= 80/d
3.t= 80d

Answers

Answer:

The car was traveling for 1.5 hours.

Step-by-step explanation:

Given that distance d, in kilometers, that a car travels at a speed of 80 km per hour , for t hours, is given by the equation d=80t.

Here wee need to find the time if the car has gone 120 kilometers.

That is

            d = 120 km

we need to find t.

            d=80t

           120 = 80 x t

The car was traveling for 1.5 hours.

Jonah has two small bags of assorted doughnuts. Each bag contains exactly 8 powdered doughnuts.
Bag 1 contains 20 total doughnuts.
Bag 2 contains 24 total doughnuts.
What is the probability of Jonah grabbing
a powdered doughnut from
Bag 1?

Answers

Answer:

There is a 40% probability of Jonah grabbing  a powdered doughnut from  Bag 1.

Step-by-step explanation:

Total number of doughnuts in the bag 1 =20

Total powdered doughnuts in each bag = 8

Probability of selecting powdered doughnut from  Bag 1 by Jonah =

[tex]\frac{8}{20} * 100\\40[/tex]%

Which of the following sets of ordered pairs does not define a function?

{(1,2),(5,6),(6,7),(10,11),(13,14)}
{(−1,4),(0,4),(1,4),(2,4),(3,4)}
{(1,1),(2,2),(3,3),(4,4),(5,5)}
{(1,3),(5,2),(6,9),(1,12),(10,2)}

Answers

Answer: D

Step-by-step explanation: As we can see, D is the only one that has matching inputs, but those inputs have separate outputs. If they don't have the same output, it is not a function

Hope this helps :)

Solve for x.

PLEASE ANSWER I WILL GIVE BRAINLIEST!!

Answers

Answer:

16 + 5 =21 21 is your answer

Step-by-step explanation:

PLEASE HELP
WILL GIVE BRAINLIEST

Identify the situation that each graph could represent.

A ray is graphed in the first quadrant. The horizontal axis is labeled Time. The ray starts at the bottom left and continues to the upper right.



A. the length of a necklace that you make at a rate of 10 cm per hour without taking a break
B. the height of a balloon as it rises, gets caught in a tree for a few minutes, and then continues to rise
C. the total distance you are from home if you ride your bicycle three miles per hour for one hour, and then stop and take a rest
D. The volume of water in a bath tub as it is draining.

Answers

Answer:

The answer your looking for is, C.

The answer that you are looking for is c

It's been found that there is a 15% chance (3 out of 20) that you can
win a particular game. How many "wins” would you have if you
played 80 times?

Answers

Heyy ummm im tired I’ll answer this later

A child toy is made by removing a triangular prism from the center of a wooden rectangular prism The triangular base of the triangular prism has a base length of 1 inch and a height of 1 inch. Write and solve an equation to find the volume of the toy.

Answers

*see attachment for the diagram given

Answer:

Volume of the toy = 68 in.³

Step-by-step explanation:

The equation to find the volume of the toy = volume of the wooden rectangular prism - volume of the triangular prism removed form the center

Volume of the toy = (L*W*H) - (½*bhl)

Where,

L = 8 inches

W = 3 inches

H = 3 inches

b = 1 inch

h = 1 inch

l = 8 inches

Plug in the values into the equation

Volume of the toy = (8*3*3) - (½*1*1*8)

Volume = 72 - 4

Volume of the toy = 68 in.³

A structural steel rod 1-1/2 in. in diameter and 20 ft long supports a balcony and is subjected to an axial tensile load of 30,000 lb. Compute: (a) the total elongation (b) the diameter of the rod required if the total elongation must not exceed 0.10 in. A. a. Elongation = 0.2358in. b. Use a1-1/2" dia. Rod B. a. Elongation = 1.1358in. b. Use a 1-1/4" dia. Rod C. a. Elongation = 0.1358in. b. Use a 1-3/4" dia. Rod D. a. Elongation = 0.1458in. b. Use a 3/4" dia. Rod

Answers

The  diameter of the rod required to limit the total elongation to 0.10 inches is approximately 1-1/2 inches (or 1.441 inches to be more precise). Hence, the correct answer is option (A) with an elongation of 0.2358 inches and using a 1-1/2" diameter rod.

(a) To compute the total elongation, we can use the formula:

Elongation = (P * L) / (A * E)

where P is the axial tensile load, L is the length of the rod, A is the cross-sectional area of the rod, and E is the modulus of elasticity for the material.

Given:
P = 30,000 lb
L = 20 ft = 240 in
Diameter of the rod = 1-1/2 in

First, we need to calculate the cross-sectional area:

Area = π * (diameter/2)^2
Area = π * (1.5/2)^2
Area ≈ 1.767 in^2

Next, we need to determine the modulus of elasticity for the material. Assuming it's a standard structural steel, we can use a typical value of 29,000,000 psi.

Now we can plug the values into the formula:

Elongation = (30,000 * 240) / (1.767 * 29,000,000)
Elongation ≈ 0.2358 in

Therefore, the total elongation is approximately 0.2358 inches.

(b) If the total elongation must not exceed 0.10 inches, we need to determine the diameter of the rod that satisfies this requirement.

We can rearrange the formula for elongation to solve for the cross-sectional area:

A = (P * L) / (E * Elongation)

Using the given values:

A = (30,000 * 240) / (29,000,000 * 0.10)
A ≈ 2.069 in^2

To find the corresponding diameter, we use the formula:

Diameter = √(4 * A / π)

Diameter = √(4 * 2.069 / π)
Diameter ≈ 1.441 in

Therefore, the diameter of the rod required to limit the total elongation to 0.10 inches is approximately 1-1/2 inches (or 1.441 inches to be more precise). Hence, the correct answer is option (A) with an elongation of 0.2358 inches and using a 1-1/2" diameter rod.

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Least:
Greatest:.
Median
Lower Quartile Range:
Upper Quartile Range:
thx :)

Answers

Answer:

Below :)

Step-by-step explanation:

Least/Minimum: 0

Greatest/Maximum: 6

Median: 2

Lower Quartile Range: 1

Upper Quartile Range: 3

Find median:

0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 6

Find Lower Quartile:

0, 1, 1, 1, 1, 1, 1, 2, 2, 2

Find Upper Quartile:

2, 2, 3, 3, 3, 3, 4, 4, 4, 6

BRAINLY TO WHOEVER HELPS AND GET IT RIGHT

~no links pls~

Answers

Answer:

4 yards saved

Step-by-step explanation:

two adjacent sides: 6 + 8 = 14

diagonal: √(6² + 8²) = √100 = 10

14 - 10 = 4

Correct Given the sample data, find the mean (round to 2 decimals): 23, 27, 35, 44 1.00 points out of 1.00 Flag question Answer: 32.25 Check Correct Marks for this submission: 1.00/1.00 Question 6 Incorrect 0.00 points out of 1.00 Given the data from problem 5 (sample data: 23, 27, 35, 44), find the sum of the squared deviations (the numerator of the fraction under the square root in the formula). In finding the number, round all calculations to 2 decimals (if you carry more or fewer your answer may be off enough to be marked incorrect on this system).

Answers

The sum of the squared deviation for the given sample data (23, 27, 35, 44) is 212.00.

In statistics, the squared deviation is calculated by subtracting each data point from the mean and then squaring the result. The sum of these squared differences gives us a measure of how much the individual data points vary from the mean.  

Find the sum of squared deviations, we first calculate the mean of the data set. In this case, the mean is found by adding up all the values (23 + 27 + 35 + 44) and dividing the sum by the number of data points (4).

The mean turns out to be 32.25.Next, we subtract the mean from each data point:

(23 - 32.25) = -9.25

(27 - 32.25) = -5.25

(35 - 32.25) = 2.75

(44 - 32.25) = 11.75

Then, we square each of these differences:

(-9.25)² = 85.56

(-5.25)² = 27.56

(2.75)² = 7.56

(11.75)² = 138.06

Finally, we sum up these squared deviations:

85.56 + 27.56 + 7.56 + 138.06

= 212.00

Therefore, the sum of the squared deviations is 212.00 (rounded to two decimal places).

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Combine the like terms to create an equivalent expression for −n+(−4)−(−4n)+6

Answers

Answer:

3n + 2

Step-by-step explanation:

−n+(−4)−(−4n)+6

-n - 4 + 4n + 6

3n + 2

plllleeeasssw help scams are reporteddd

Answers

Im not sure but I think the correct answers are:

3. B
4. A

Solve for x.
20
8
4x+3
38

Answers

Answer:

x = 18

Step-by-step explanation:

The "Angle Bisector" Theorem says that an angle bisector of a triangle will divide the opposite side into two segments that are proportional to the other two sides of the triangle.

So, 20/8 = (4x + 3)/30

8(4x + 3) = 20(30)

32x + 24 = 600

32x = 576

x = 18

In a normal distribution, approximately what percentage of scores fall between the z scores of -1.00 and + 1.00?

Answers

In a normal distribution, approximately 68% of scores fall between the z-scores of -1.00 and +1.00.

In a standard normal distribution, which has a mean of 0 and a standard deviation of 1, the Empirical Rule (also known as the 68-95-99.7 Rule) applies. According to this rule, approximately 68% of the data falls within one standard deviation from the mean.

Since the z-scores represent the number of standard deviations a particular value is away from the mean, a z-score of -1.00 represents one standard deviation below the mean, and a z-score of +1.00 represents one standard deviation above the mean. Therefore, using the Empirical Rule, we can conclude that approximately 68% of scores fall between these two z-scores (-1.00 and +1.00).

This percentage represents the central portion of the distribution that is within one standard deviation from the mean, providing a useful measure of the spread and concentration of data in a normal distribution.

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Make up any linear equation with two variables the solution to which will be these pairs of numbers. x=2, y=4.5 PLS HELP

Answers

Answer:

[tex]y = 0.25x + 4[/tex]

[tex](x,y) = (2,4.5)[/tex]

Step-by-step explanation:

Given

[tex]x = 2[/tex]

[tex]y = 4.5[/tex]

Required

Make up a linear function

A linear function is represented as:

[tex]y = mx + b[/tex]

Assume [tex]b = 4[/tex]

The equation becomes

[tex]y = mx + 4[/tex]

Substitute [tex]x = 2[/tex] and [tex]y = 4.5[/tex] to solve for m

[tex]4.5 = m*2 + 4[/tex]

[tex]4.5 = 2m + 4\\[/tex]

Solve for m

[tex]2m = 4.5 - 4[/tex]

[tex]2m = 0.5[/tex]

[tex]m = 0.5/2[/tex]

[tex]m = 0.25[/tex]

So, we have:

[tex]m = 0.25[/tex], [tex]b = 4[/tex], [tex]x = 2[/tex] and [tex]y = 4.5[/tex]

[tex]y = mx + b[/tex] becomes

[tex]y = 0.25x + 4[/tex]

[tex](x,y) = (2,4.5)[/tex]

Convert the point from Cartesian to polar coordinates. Write your answer in radians. Round to the nearest hundredth.
(−10,1)

Answers

The point (-10, 1) in Cartesian-Coordinates can be represented in polar coordinates as approximately (10.05, 3.0416 radians).

To convert the point (-10, 1) from Cartesian-Coordinates to polar coordinates, we can use the formulas:

r = √(x² + y²)

θ = arctan(y / x)

We know that, the point is (-10, 1), we substitute the values into the formulas:

We get,

r = √((-10)² + 1²) = √(100 + 1) = √101 ≈ 10.05, and

The point lies in second-quadrant, so, the angle is measured counterclockwise from the positive x-axis, which means it is between π/2 and π radians.

Therefore, The adjusted θ is : θ = π + arctan(1/-10) ≈ 3.0416 radians.

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12 × (3 + 2²) ÷ 2 - 10

Answers

Answer:

32

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

This should help

In the above figure, m∠AOC = 30° and m∠BOD = (2x + 39)°. If ∠AOC and ∠BOD are vertical angles, what is the value of x? A. x = 69 B. x = -9 C. x = 34.5 D. x = -4.5
i need help asap

Answers

Answer:

bestie thats hard

Step-by-step explanation:

Answer:

D. x=-4.5

Step-by-step explanation:

Since they are both vertical angles, m∠BOD must also be equal to 30 degrees, and if you input -4.5 as x, (2 x -4.5x) + 39, that is rewritten as -9 and 39. 39 - 9 is 30 degrees.

What is the interquartile range The following data points represent the volume of gas in each race car driver's tank (in liters) Sort the data from least to greatest: 2.8 43 7.5 8.5 11.6 12 12.1 Find the interquartile range

Answers

The interquartile range of the data set is 4.7 liters.

To find the interquartile range, we first need to sort the data from least to greatest. This gives us the following data set:

2.8, 7.5, 8.5, 11.6, 12, 12.1

The first quartile (Q1) is the median of the lower half of the data set. In this case, the lower half of the data set is {2.8, 7.5, 8.5}. The median of this data set is 7.5. Therefore, Q1 = 7.5.

The third quartile (Q3) is the median of the upper half of the data set. In this case, the upper half of the data set is {11.6, 12, 12.1}. The median of this data set is 12. Therefore, Q3 = 12.

The interquartile range (IQR) is calculated by subtracting Q1 from Q3. In this case, IQR = 12 - 7.5 = 4.7 liters.

The interquartile range is a measure of the variability of the middle 50% of the data. In this case, the interquartile range tells us that the middle 50% of the race car drivers have between 7.5 and 12 liters of gas in their tanks.

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are enzymes that are activated or inactivated by the hormone's second messenger. compute the companys (a) working capital and (b) current ratio. (round current ratio to 2 decimal places, e.g. 1.55:1.) Question 12 According to the straight-line depreciation method, an equal amount of depreciation expense is assigned to each year of the asset useful life. True O False Read the EU White Paper on Transport. Write a critical summary of the report. 1) State whether the targets are realistic; 2) State whether the targets benefit the people. Support your arguments with transport economics theory Define an indifference curve? Explain the properties of an indifference curve. Wiater Company operates a small manufacturing facility. On January 1, 2021, an asset account for the company showed the following balances: Equipment : $ 160,000Accumulated Depreciation (beginning of the year) : 100,000 During the first week of January 2021, the following cash expenditures were incurred for repairs and maintenance: Routine maintenance and repairs on the equipment : $ 1,850 Major overhaul of the equipment that improved efficiency : 24,000The equipment is being depreciated on a straight-line basis over an estimated life of 15 years with a $10,000 estimated residual value. The annual accounting period ends on December 31. Required: Indicate the effects (accounts, amounts, and + for increase and for decrease) of the following two items on the accounting equation, using the headings shown below. (Enter any decreases to Assets, Liabilities, or Stockholders' Equity with a minus sign. Do not round intermediate calculations.) 1. The adjustment for depreciation made last year at the end of 2020. 2. 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For what values of a are the second-order conditions satisfied?(a) [10 marks) Assume the secondforder condition is satisfied. Use calculus to determine the way in which the supply of good 2 varies with a rise in p1. Explain why it depends on the sign of a.(e) [10 marks] Assume the second-order condition is satisfied. If p1 = 0.5 and p2 = 1, under which condition about a will good 1 be supplied by the firm? Explain the economic intuition behind theresults. A technical salesperson wants to get a bonus this year something earned for those that are able to sell 100 units. They have sold 35 so far and know that, for the random sales call, they have a 30% chance of completing a sale. Assume each client only buys at most one unit.) (a) Considering the total number of calls required in the remainder of the year to attain the bonus. what type of distribution best describes this variable? (b) How many calls should the salesperson expect to make to earn the bonus? (c) What is the probability that the bonus is earned after exactly 150 calls? Consider total cost and total revenue given in the following table Quantity 0 2 3 4 5 6 7 Total cost $8 9 10 11 13 19 27 37 Total revenue $0 8 16 24 32 40 48 56 a. Calculate profit for each quantity. How much should the firm produce to maximize profit? b. Calculate marginal revenue and marginal cost for each quantity. Graph them. (Hint Put the points between whole numbers. For example, the marginal cost between 2 and 3 should be graphed at 2n) At what quantity do these curves cross? How does this relate to your answer to part (a)? c. Can you tell whether this firm is in a competitive industry? If so, can you tell whether the industry is in a long-run equilibrium? Marianna finds an annuity that pays 8% annual interest, compounded quarterly. She invests in this annuity and contributes $10,000 each quarter for 6 years. How much money will be in her annuity after 6 years? Enter your answer rounded to the nearest hundred dollars. If the price of K declines, the demand curve for complementary product J: a. shifts to the left. b. decreases. c. shifts to the right d. remains unchanged What is the reason for a low blood pressure, despite always having high blood pressure (HTN), and high cholesterol?A) Blood vessels have become bigger, so there is less pressure on the wall and less pressure overall.B) At this time, the heart muscles are not contracting correctly because there is tissue death and therefore, less blood is being pumped out of the ventricles to the body.C) Blood vessels have dilated to have more perfusion to his organs. .A ball that is dropped from a window hits the ground in 7 seconds. How high is the window? (Give your answer in feet; note that the acceleration due to gravity is 32 ft/s . Height = _______ 7. Show that if g is a primitive root of n, then the numbers g, g, g,..., g(n) form a reduced residue system (mod n). Direct subsidies to agriculture, whether they are export subsidies or production subsides, are viewed as harmful because of all the following reasons excepta. they can lead to dumping of surplus production.b. they encourage overconsumption through low market prices.c. they lead to overproduction.d. they crowd out imports. XYZ Industries is expected to generate the above free cash flows over the next five years, after which free cash flows are expected to grow at a rate of 1% per year. If the weighted average cost of capital is 7% and XYZ has cash of $14 million, debt of $42 million, and 60 million shares outstanding, what is General Industries' expected current share price? Round to the nearest one-hundredth. the value of the stock decreased by 3.2very month, and now my investment is worth only $587. how much did i originally invest? round to the nearest cent. what implications of having changes in aggregatedemand, aggregate supply and unemployment rate in Marco economicindicators to a business. explain the detail. Is a nation's current level of economic development related to whether or not it was historically subjected to British colonialism? Please address this question by using SPSS and the Chi Square test t