what is the answer (x+80)(x-20)

Answers

Answer 1

Answer:

Using the FOIL method to multiply (x + 80)(x - 20), we get:

(x + 80)(x - 20) = x^2 - 20x + 80x - 1600

Simplifying the expression, we get:

(x + 80)(x - 20) = x^2 + 60x - 1600

Therefore, the answer is x^2 + 60x - 1600.


Related Questions

Given the definitions of f(x) and g(x) below, find the value of (fog)(-1).
f(x) =-x-12
g(x) = x² – 5x -5

Answers

Answer: 11

Step-by-step explanation: To find the value of (fog)(-1), we first need to find the value of g(-1), which means plugging -1 into the equation for g(x):

g(x) = x² – 5x - 5

g(-1) = (-1)² – 5(-1) - 5

g(-1) = 1 + 5 - 5

g(-1) = 1

Now we need to find (fog)(x) by plugging g(x) into f(x) and simplifying:

f(x) = -x - 12

fog(x) = f(g(x))

fog(x) = f(x² – 5x - 5)

fog(x) = -(x² – 5x - 5) - 12

fog(x) = -x² + 5x + 17

Finally, we can find (fog)(-1) by plugging -1 into the equation for fog(x):

fog(x) = -x² + 5x + 17

(fog)(-1) = -(-1)² + 5(-1) + 17

(fog)(-1) = -1 - 5 + 17

(fog)(-1) = 11

Therefore, the value of (fog)(-1) is 11.

What is the distance between points (4, -2) and (4,4) on a coordinate plane

Answers

Answer:

The distance between points (4, -2) and (4,4) on a coordinate plane is 6 units. This is because the two points lie on the same vertical line, where the x-coordinate remains constant at 4. To find the distance between them, we simply need to subtract their y-coordinates: 4 - (-2) = 6. Therefore, the distance between the two points is 6 units.

- Xavier earns a 15% commission on each
washing machine he sells. Last week he sold
four $450 machines. How much did he earn?

Answers

Based on the question, Xavier earned a commission of $270 on the last week.

What is the commission?

Commissions is known to be a form of variable-pay remuneration that is said to be made for services given or products sold.

Note that from the question, Xavier earns a 15% commission on all washing machine he sells, so he sold four $450 machines last week.

So, the he total sale of the four machines is:

4 x $450 = $1,800

Since Xavier's commission is 15% of $1,800, it will be calculated as :

Commission = 15% x $1,800

                  = 0.15 x $1,800

                     = $270

Hence, Xavier earned a commission of $270 last week.

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Let u = <-9, 2> Find -5u.

Answers

Answer:

To find -5u, we simply need to multiply each component of u by -5:

-5u = -5<-9, 2> = <(-5)(-9), (-5)(2)> = <45, -10>

Therefore, -5u is equal to the vector <45, -10>.

Use cylindrical coordinates to calculate :
∫∫∫Wx2+y2dVW:x^2+y^2≤25,0≤z≤2
∫∫∫W(x^2+y^2)dV=

Answers

Answer:

To solve this problem using cylindrical coordinates, we need to express the integrand and the limits of integration in terms of cylindrical coordinates. In cylindrical coordinates, a point in 3D space is represented by the radius (r), the angle (theta), and the height (z), where:

x = r cos(theta)

y = r sin(theta)

z = z

The volume element in cylindrical coordinates is given by:

dV = r dr dtheta dz

Now we can write the integral as:

∫∫∫W(x^2+y^2)dV = ∫∫∫W(r^2) r dr dtheta dz

The limits of integration are given by:

0 ≤ z ≤ 2 (since the region of integration is between z=0 and z=2)

0 ≤ r ≤ 5 (since the region of integration is within the circle of radius 5 in the xy-plane)

0 ≤ theta ≤ 2π (since the region of integration extends throughout the entire circle in the xy-plane)

Therefore, we can write the integral as:

∫∫∫W(r^2) r dr dtheta dz

= ∫0^2 ∫0^5 ∫0^2 (r^2) r dz dr dtheta

Integrating with respect to z first, we get:

∫0^2 ∫0^5 ∫0^2 (r^2) r dz dr dtheta

= ∫0^2 ∫0^5 [(r^2) r (2-0)] dr dtheta

= 2 ∫0^5 (r^3) dr ∫0^2 dtheta

= 2 (1/4) (5^4) (2)

= 1250

Therefore, the value of the integral is 1250.

2. Janelle Monae obtained a $3,500.00 loan at 8.5% for one year. If the
monthly payments were $285.55, what would the interest amount be in the
first payment?
OA. $297.50
OB. $291.67
OC. $24.79
OD. $35.00

Answers

Answer:

Okay, let's think through this step-by-step:

• Janelle Monae obtained a $3,500 loan at 8.5% interest for 1 year.

• 8.5% interest for 1 year = 8.5% of $3,500 = $297.50 in interest

• The loan amount ($3,500) plus interest ($297.50) = $3,797.50 total paid back

•Monthly payments = $3,797.50 / 12 months = $285.55

• So the interest amount in the first payment is $297.50 (calculated above as 8.5% of the $3,500 loan amount)

The choices do not match this:

A. $297.50 - This is the correct choice. This is the interest amount paid over the full loan.

B. $291.67 - This is too low. Calculated interest over 1 year at 8.5% is $297.50.

C. $24.79 - This is way too low. The interest amount due is $297.50 per the working.

D. $35.00 - This is also too low and does not make sense based on the loan details provided.

In summary, to find the interest in just the first payment, we calculate:

Interest over full loan ($297.50) / Number of payments (12) = $24.79

So the interest amount in just the first monthly payment is $24.79.

But the total interest paid over the life of the loan (1 year) is $297.50.

Does this help explain the steps and reasoning? Let me know if any part of the working or explanation is unclear. I can also provide additional examples if needed.

Let me know if you have any other questions!

Step-by-step explanation:

If n ∥ m, which of the following statements are true? Select all that apply.

Answers

Answer:

Step-by-step explanation:

Parallel lines would never intersect no matter how long the lines go on for because they have the same slope. That will always be true.

Find the missing side
Please help

Answers

Answer:

Step-by-step explanation:

64 - 16= 48

[tex]\sqrt{48}[/tex]

[tex]\sqrt{3*16}[/tex]

4[tex]\sqrt{3}[/tex]

Pls help! Mr Douglass trains a group of student athletes. He wants to know how they are improvising in the number of sit ups they can do. The following dot plots show the number of sit ups each student was able to do last month and this month.

By how much did the mean number of sit ups increase from last month to this month?

Answers

Last month mean: 31
This month mean: 38.5
38.5-31=7.5
The mean number of sit ups increased from last month to this month is 7.5

1. ¿A cuántas familias tendríamos que estudiar para conocer la preferencia del mercado en cuanto a las marcas de shampoo para bebé, si se conoce que el número de familias con bebés en el sector de interés es de 12 000? El nivel de confianza es del 96%, su error de muestreo es 4% y la proporción esperada es del 12%.

Answers

We would need to study 678 families to determine the market preference for baby shampoo brands with a 96% confidence level and 4% margin of error, given that there are 12,000 families with babies in the sector of interest.

How to Solve the Problem?

To calculate the sample size needed to determine the market preference for baby shampoo brands, we can use the formula:

n = [(Z^2 * p * q) / E^2]

where:

n = sample size

Z = Z-score for the desired level of confidence (in this case, 1.96 for a 96% confidence level)

p = proportion expected (in this case, 0.12 or 12%)

q = 1 - p

E = margin of error (in this case, 0.04 or 4%)

Substituting these values into the formula, we get:

n = [(1.96^2 * 0.12 * 0.88) / 0.04^2] = 677.16

Since we cannot have a fraction of a family, we round up the sample size to 678 families. Therefore, we would need to study 678 families to determine the market preference for baby shampoo brands with a 96% confidence level and 4% margin of error, given that there are 12,000 families with babies in the sector of interest.

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5. An African elephant weighed 220 pounds at birth. Over the next 4 years, it grew to weigh
870 pounds.
During the 4 years, what was the average yearly growth rate of the elephant?
(A) 144.5 pounds per year
(B) 197.83 pounds per year
(C) 48.88 pounds per year
(D) 670.25 pounds per year
7.RP.1

Answers

The correct answer is an option (A) 144.5 pounds per year, which is the closest value to the calculated average yearly growth rate of the elephant.

What is average?

The term "average" refers to a measure of central tendency that represents the typical or typical value in a set of data.

What is the growth rate?

Growth rate refers to the rate at which a quantity or value increases or decreases over time. It is often expressed as a percentage or a proportion and is used to measure the change in a particular variable relative to its initial value.

According to the given information:

To find the average yearly growth rate of the elephant, we can use the formula for calculating growth rate:

Growth Rate = ((Ending Value - Starting Value) / Number of Years)

In this case, the starting weight of the elephant is 220 pounds and the ending weight is 870.25 pounds. The number of years is 4.5 (since the growth occurred over 4.5 years).

Plugging these values into the formula, we get:

Growth Rate = ((870.25 - 220) / 4.5)

Simplifying the numerator, we get:

Growth Rate = 650.25 / 4.5

Dividing, we get:

Growth Rate ≈ 144.50 pounds per year

So, the correct answer is option (A) 144.5 pounds per year, which is the closest value to the calculated average yearly growth rate of the elephant.

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Find the area of the regular polygon.

Answers

Answer:

This is a right angle

Step-by-step explanation:

There is a square inside of the triangle.

Working together, Mike and Stephanie can wash a car in 8.24 minutes. Had she done it alone it would have taken Stephanie 17 minutes. How long would it take Mike to do it alone?

Answers

It would take Mike approximately 0.989 minutes (or about 59 seconds) to wash the car alone.

We have,

Let's start by assigning variables to unknown quantities.

Let m be the time it takes for Mike to wash the car alone (in minutes).

We know that Stephanie takes 17 minutes to wash the car alone, so her rate of work is 1/17 car per minute.

Working together, their combined rate of work is 1/8.24 car per minute.

Using the formula:

(rate of work) = (amount of work) / (time)

we can set up the following equation to represent the work they do together:

1/8.24 = (1 car) / t

where t is the time it takes them to wash the car together.

We can also set up a similar equation for Stephanie's work alone:

1/17 = (1 car) / (t + x)

where x is the extra time it takes Mike to wash the car alone.

Since they are working on the same car, the amount of work done in both cases is the same, so we can set the two equations equal to each other and solve for x:

1/8.24 = 1/(t + x) + 1/17

Multiplying both sides by the least common multiple of the denominators (8.2417(t+x)).

17*(t+x) + 8.24*(t+x) = 8.24*17

Simplifying.

25.24t + 17x = 139.68

We also know that Mike's rate of work is 1/m car per minute.

Since we know the combined rate of work when they work together, we can set up another equation:

1/m + 1/17 = 1/8.24

Multiplying both sides by the least common multiple of the denominators (8.2417m).

178.24m + 8.2417m = 8.2417m + m8.24m

Simplifying.

141.08m = 139.68

Solving for m.

m = 0.989

Therefore,

It would take Mike approximately 0.989 minutes (or about 59 seconds) to wash the car alone.

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g(x) is a linear function that makes a line when you graph it. Some of its points are listed in the table below. If this line was graphed completely, would it ever intersect with the circle pictured ? Describe how you know.
x g(x)
-4 -4
-2 -2
2 2

PLEASE HELP! 30 POINTS!

Answers

I need the graph but here:
Plotting the points (-4,-4), (-2,-2), and (2,2), we can see that they lie on a straight line passing through the origin with a slope of 1.

To determine if this line intersects with the circle, we need to know the equation of the circle. We can find the equation of the circle by knowing its center and radius or by having three points on the circle. Once we have the equation of the circle, we can compare it with the equation of the line to determine if they intersect.

Part 3: Hitting the baseball over the lights


Meanwhile at the ballpark Juan was practicing his hitting while talking to some friends. He started telling them how he hit the ball over the 50 foot light tower yesterday.



The formula for this hit is h(x) = -16xsquared + 60x + 4 , where h is the height of the ball and x is the number of seconds the ball is in the air.



How can Juan provide proof to the friends that he actually hit the ball over the tower?








How high did Juan actually hit the ball? Is Juan able to mathematically back up how high he says he hit the ball?

Answers

Juan's claim is plausible based on the given function because the maximum height of the ball is 62.875 feet, which is higher than the 50-foot light tower.

Maximum function

To prove that Juan hit the ball over the 50-foot light tower, we need to find the maximum height of the ball using the given function h(x) = -16x^2 + 60x + 4 and show that the maximum height is greater than 50 feet.

The maximum height of the ball occurs at the vertex of the parabolic function h(x), which is given by the formula x = -b/2a, where a = -16 and b = 60.

Substituting these values into the formula, we get:

x = -b/2a = -60/(2*(-16)) = 1.875

So the ball reaches its maximum height after 1.875 seconds. To find the maximum height, we can substitute this value of x into the original function h(x):

h(1.875) = -16(1.875)^2 + 60(1.875) + 4 = 62.875

Therefore, the maximum height of the ball is 62.875 feet, which is higher than the 50-foot light tower. So Juan's claim is plausible based on the given function.

Based on the given function h(x) = -16x^2 + 60x + 4, the maximum height that Juan hit the ball was 62.875 feet. Therefore, Juan's claim that he hit the ball over the 50-foot light tower is mathematically backed up by the function h(x). The maximum height of the ball is higher than the height of the tower, so it is possible that Juan hit the ball over the tower.

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Which of the following is not a real number?
O A. √13
OB. √-4
O C. VÌ
O D. √16

Answers

Answer: b

Step-by-step explanation:

Mrs. Matthews gave a test to her 120 science
students. If she gives 5 bonus points to each
test grade, how will this affect the mean,
median, and mode scores?

Answers

Adding 5 bonus points to each test grade will increase all the scores by the same amount, so it will not affect the order of the scores or the position of the median. However, it will increase the mean score by 5 points because the mean is calculated by adding all the scores and dividing by the total number of scores, so each score will contribute an additional 5 points to the total.

The mode, which is the score that appears most frequently, may or may not be affected by the addition of the bonus points. It depends on whether there is a tie for the mode before the bonus points are added. If there is a tie, the bonus points may cause some of the scores to appear more frequently and create a new mode, or there may still be a tie for the mode.

In summary, adding 5 bonus points to each test grade will:

• Increase the mean score by 5 points.

• Not affect the median score.

• Potentially affect the mode score, depending on whether there is a tie for the mode before the bonus points are added
Final answer:

Adding 5 bonus points to each test grade in Mrs. Matthew's class will increase the mean, median, and mode of the scores by 5 points each.

Explanation:

The addition of 5 bonus points to each test grade will affect the mean, median, and mode in the following ways:

Mean: The mean is calculated by adding all the scores together and dividing by the total number of scores. If every student gets an additional 5 points, it would effectively increase the mean by 5 points.Median: The median is the middle score when all scores are listed in numerical order. If you add 5 points to each test grade, the median will also increase by 5 points because each score has increased by the same amount.Mode: The mode is the score that appears most frequently. If every score increases by 5, the mode will also increase by 5 points.

So, in conclusion, adding 5 bonus points to each student's test score will raise the mean, median, and mode of the scores by 5 points each.

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Helpppp pls it’s due rnnnn

Answers

A function relating these variables is D(x) = 10 + 2x,

D(9) = 28, meaning after 9 hours of snowfall,

What is an independent variable?

An independent variable is a variable that is manipulated or controlled by the researcher in an experiment to observe its effect on the dependent variable. It is the variable that is changed deliberately to see how it affects the outcome of the experiment.

The independent variable, x, represents the number of hours since snow began falling,

and the dependent variable is the total amount of snow on Jace's lawn because the amount of snow depends on the number of hours since it began to snow.

A function relating these variables is D(x) = 10 + 2x, where D(x) is the total amount of snow on Jace's lawn in inches after x hours of snowfall.

So, D(9) = 28, meaning after 9 hours of snowfall, Jace will have a total of 28 inches of snow on his lawn.

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Help please !!!!!!!!!!!!!!!!!!!!!!!!

Answers

Thus, the length of walk way around the filed is the perimeter of the right triangle which is found as: 206.023 m .

Explain about the perimeter of triangle:

The quickest approach to determine a triangle's perimeter is to sum up all of its sides' lengths, but you must first determine each side's length if you don't already know it.

The walk way around the filed is the perimeter of the right triangle.

walk way = base + height + hypotenuse

walk way = B + P + H

base B = 80 - 10 = 70 m

Altitude P = 70 - 20 = 50 m

For the hypotenuse H , use the Pythagorean theorem:

H² = B² + P²

H² = 70² + 50²

H² = 4900 + 2500

H² = 7400

H = 86.023

So,

walk way = B + P + H

walk way = 70 + 50 + 86.023

walk way = 206.023 m

Thus, the  walk way around the filed is the perimeter of the right triangle which is found as: 206.023 m .

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You are going to have a birthday party and serve pizza. You plan to order pepperoni pizza that costs $8 each and sausage pizza that costs $6 each. You need 100 pizzas and have $740 to spend, how many of each type of pizza can you buy?

Answers

Therefore , the solution of the given problem of unitary method comes out to be you can purchase 30 sausage and 70 pepperoni pizzas to serve at your birthday party.

Define unitary method.

To complete the assignment, make use of the tried-and-true fundamental technique, the actual variables, and any insightful knowledge you gain from the general and detailed questions. In response, customers might be given another opportunity to sample the products. We will miss out on substantial expression gains in programming comprehension if these changes don't take place.

Here,

Let's use "p" for the quantity of pepperoni pizzas and "s" for the quantity of sausage pizzas. Finding p and s values that meet the requirements is necessary.

In light of the information provided:

One pepperoni pizza costs $8.

One sausage pizza costs $6.

100 pizzas are required.

Budget total: $740

To reflect the stated conditions, we can construct the following system of equations:

=> p + s = 100 (1)

=> 8p + 6s = 740 (2)

=> 8p + 8s = 800 (3)

=> 8p + 6s - (8p + 8s) = 740 - 800

=> -2s = -60

=> s = (-60)/(-2)

=> s = 30

=> p + 30 = 100

=> p = 100 - 30

=> p = 70

With a $740 budget, you can purchase 30 sausage and 70 pepperoni pizzas to serve at your birthday party.

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The probability that a certain science teacher trips over the cords in her classroom during any independent period of the day is 0.35. On average, how many periods do students need to wait until this science teacher trips over the cords in her classroom?

0.2275

0.35

2.86

3.5

Not enough information to answer this question

Answers

Answer:2.86.

Step-by-step explanation:

We can use the geometric distribution to solve this problem. The geometric distribution models the number of trials needed to achieve the first success in a sequence of independent trials with a constant probability of success.In this case, the probability of success (the teacher tripping over the cords) is 0.35. Therefore, the expected value or mean of the geometric distribution is 1/0.35 ≈ 2.86.So, on average, students need to wait for 2.86 periods until the teacher trips over the cords in her classroom.Therefore, the answer is 2.86.

Solve for x
225 times 1/3=x

Answers

Answer:

75=x

Step-by-step explanation:

The ratio of the weight of an object on earth to the weight of the same object on planet X is a 5 to 12 if an elephant weighs 3800 pounds on earth find the elephant weight on planet X ?

Answers

We can set up a proportion using the given ratio:

Weight on Earth : Weight on Planet X = 5 : 12

Let's let x be the weight of the elephant on Planet X. We can substitute the given weight on Earth to solve for x:

3800 : x = 5 : 12

We can cross-multiply to get:

3800 * 12 = 5 * x

Simplifying the right side, we get:

45600 = x * 5

Dividing both sides by 5, we get:

x = 9120

Therefore, the weight of the elephant on Planet X is 9120 pounds.

if the means of 5,3,6,x,9 and 10 is 7. find the value of x. class 8 ​

Answers

Answer:

The mean of the numbers 5, 3, 6, x, 9, and 10 is given as 7.

To find the value of x, we can use the formula for the mean:

mean = (sum of all the numbers) / (number of numbers)

In this case, we have:

7 = (5 + 3 + 6 + x + 9 + 10) / 6

Multiplying both sides of the equation by 6, we get:

42 = 33 + x

Subtracting 33 from both sides of the equation, we get:

x = 9

Therefore, the value of x that makes the mean of 5, 3, 6, x, 9, and 10 equal to 7 is 9.

A certain circle can be represented by the following equation.
x^2+y^2+8x-16y+31=0
What is the center of this circle?
What is the radius of this circle?

Answers

Answer:

Center= -4,8

Radius=7

Step-by-step explanation:

Is this statement true or false ?

Answers

Answer:

False

Step-by-step explanation:

The formula for the area of a circle is A = pi • r^2

Answer: False

Step-by-step explanation: A = [tex]\pi[/tex] [tex]r^{2}[/tex]

5
8)
8 h
a
X5.84
Area:
Perimeter:
Туре:
30.252
X_2
60.
a = 6.3 mm h= 5.84 mm
9
30.252
Paralellogram

Answers

The area and the perimeter of the given parallelogram are 36.792 mm² and 24.28 mm respectively.

What is parallelogram?

In Euclidean geometry, a parallelogram is a simple quadrilateral having two sets of parallel sides.

The confronting or opposed sides and the opposing angles of a parallelogram are of equal length.

There are four distinct types of parallelograms, including three distinct types.

Rhombuses, parallelograms, squares, and rectangles are the four types.

So, the given image itself tells that the given figure is a parallelogram.

The area of the given parallelogram is:
A = b*h

A = 6.3*5.84

A = 36.792 mm²

The perimeter of the given parallelogram:

P = 2(a+b)

P = 2(6.3+5.84)

P = 24.28 mm


Therefore, the area and the perimeter of the given parallelogram are 36.792 mm² and 24.28 mm respectively.

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which graph shows the solution to the system of linear inequalitys

Answers

The graph that shows the solution to the system of linear inequalities is the Graph D.

Which graph shows the solution to the system of linear inequality?

Here, we are given first inequality as:

Y > -1/3x + 2

The graph of this inequality is a dotted straight line( since the inequality is strict) that passes through (6,0) and (0,2) with shaded region away from the origin ( since it fails zero test)

Second inequality is given by:

y > 2x - 3

The graph of this inequality is a dotted straight line( since the inequality is strict) that passes through (3/2,0) and (0,-3) with shaded region away towards the origin ( since it passes zero test). On plotting it's graph, we get the solution.

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Find a quadratic equation which has solutions x=square root of 10and x=-square root of 10. Write the quadratic form in the simplest standard form x^2+bx+c

Answers

The quadratic equation in standard form can be written as:

y = x² - 10

How to find the quadratic equation?

Remember that for a quadratic equation whose solutions are x₁ and x₂, the quadratic can be written as:

y = (x - x₁)*(x - x₂)

Here the solutions are:

x = √10

x = -√10

Then we can write:

y = (x+  √10)*(x - √10)

Expanding that we will get:

y = x² + √10x - √10x + √10*-√10

y = x² - 10

That is the quadratic.

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Please help! Show all your work. 25 pts!

Answers

Answer:

[tex] \frac{468}{14.4} = \frac{d}{16.8} [/tex]

[tex]32.5 = \frac{d}{16.8} [/tex]

[tex]d = 546[/tex]

Wyatt can drive 546 miles on a full tank (16.8 gallons) of gas.

Other Questions
1"I put $200 into my retirement account at work," Maisie says. "And I see that my employer put in $200 in the same account! What is this?" What isMaisie describing?A. medical insuranceO B. worker's compensationOC. matching fundsO D. Social Securityum. All rights reserved.ResetNextG What is the field of psychology that studies how people's behavior interacts with stress and heart disease? The constraint x1 x2 in a BIP problem means that alternative 2 cannot be selected unless alternative 1 is also selected please help me this is due tomorrow In 1950, Congress raised the federal minimum wage to seventy-five cents ($0.75) per hour. The CPI in 1950 was equal to 24, and now it is equal to about 240. What would the 1950 minimum wage be equal to in terms of today's dollars? A. $3.20 B. $7.50 C. $5.30D. $4.10 In matrix C, the entries are the numbers of students in a chess club at a high school. Column 1 lists boys, column 2 lists girls, row 1 lists juniors, and row 2 lists seniors. What does the number in position c21 represent? C=[5463] A. 4 girls who are juniors B. 4 boys who are seniors C. 6 girls who are seniors D. 6 boys who are juniors 43) During chordate evolution, what is the sequence (from earliest to most recent) in which the following structures arose?1. amniotic egg2. paired fins3. jaws4. swim bladder5. four-chambered heartA) 2, 3, 4, 1, 5B) 3, 2, 4, 5, 1C) 3, 2, 1, 4, 5D) 2, 1, 5, 3, 4 Tropical winds generally blow in which direction in both hemispheres?a) from west to eastb) from east to westc) from south to northd) from north to southe) there are no prevailing wind directions in the tropics linda has one square rug and two identical rectangular rugs. she arranged them in two different ways and took two measurements as shown below. what is the side length of the square rug? A mirror is placed 45 feet from the base of a waterfall by a hiker. The hiker walks backwards until they are 7.5 feet from the mirror. Determine how tall the waterfall is if the hiker is 6 feet tall. 36 ft 39.5 ft 56.25 ft 72 ft Jared and Seidenburg 1991 found that there was no difference among ..... words Is it possible to produce additional units of goods and servicesoutside the production possibility curve? Why or why not? A group of common chronic respiratory disorders characterized by tissue degeneration and respiratory obstruction is called: Read the excerpt from "Whats Possible for Our Children by Barack Obama. As president, I will work with our nations governors and educators to create and use assessments [tests] that can improve achievement all across America by including the kinds of research, scientific investigation and problem-solving that our children will need to compete in a 21st century knowledge economy. The tests our children take should support learning not just accounting.Read the excerpt from "Remarks on No Child Left Behind Bill by George W. Bush.The first way to solve a problem is to diagnose it. And so, what this bill says, it says every child can learn. And we want to know early, before it's too late, whether or not a child has a problem in learning. I understand taking tests arent fun. Too bad. We need to know in America. We need to know whether or not children have got the basic education. How do the speakers perspectives on testing differ?Obama believes that tests do not help students learn, while Bush believes that they do.Obama believes that teachers should create the tests they use to monitor student success, while Bush believes that the government should design them.Obama believes that tests should be given to improve learning, while Bush believes that tests should be given to make sure schools are succeeding.Obama believes that tests can be fun and helpful, while Bush believes that tests are boring. 5.05 - Writing Assignment: Changes in Nutrition Needs in Teens15 PointsResearch and evaluate the changes in the nutritional needs of adolescents (age thirteen to nineteen). Use the course or a website. Types of food needed Amounts of food needed Vitamins needed Key nutrients Etc.Write 500-750 words in and essay OR create a power point on the results of your investigation and conclusions. Document your sources and use the writing rubric for reference. The students in the science class work together to model the sun, other stars, and Earth. The student who is modeling Earth stands in the center of the room. The students who model the stars each stand against the walls of the room. Each of these students holds a flashlight. The student who models the sun also holds a flashlight.Where should the student who models the sun stand? What physical exam trick can be done for spasmodic torticollis (cervical dystonia) The nurse is reinforcing discharge teaching for a client being prescribed metoprolol succinate. Which client statement indicates teaching is effective? Question 41 Marks: 1 Deaths of newborns caused by milk-induced diarrhea has been mainly attributed to the bacteria:Choose one answer. a. Shigella b. Pseudomonas c. Escherichia coli d. Enterobacter aerogenes [Post lab Q]:The H NMR spectrum of camphor is complex, so we won't use that for characterization. Instead, consider the structures of starting material and product and describe how 13C NMR analysis could determine whether your oxidation was successful.