Mayerlin kicks a football. Its height in feet is given by ℎ(t)=−16t^(2) +80t where t represents the time in seconds after kick. How long is the football in the air?

Answer:

Sure. Here are the answers:

* Lower quartile (Q1): 12

* Upper quartile (Q3): 18

* Median: 15

* Interquartile range (IQR): Q3 - Q1 = 18 - 12 = 6

To find the lower quartile, we first need to order the data set from least to greatest:

```

10 12 14 15 18 20

```

Since there is an even number of data points, the median is the average of the two middle numbers. In this case, the two middle numbers are 14 and 15. Therefore, the median is (14 + 15) / 2 = 14.5.

The lower quartile is the median of the lower half of the data set. In this case, the lower half of the data set is:

```

10 12

```

The median of this data set is the average of the two middle numbers, which are 10 and 12. Therefore, the lower quartile is (10 + 12) / 2 = 11.

The upper quartile is the median of the upper half of the data set. In this case, the upper half of the data set is:

```

14 15 18 20

```

The median of this data set is the average of the two middle numbers, which are 14 and 15. Therefore, the upper quartile is (14 + 15) / 2 = 14.5.

The interquartile range is the difference between the upper and lower quartiles. In this case, the IQR is 14.5 - 11 = 3.5.

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

(2+9) ft 3ft

P= 2(l+ w)

P= 2(ll+3)

P= 28

Hope this is what you need!

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Answer:

4 mm

Step-by-step explanation: The height is the same length of the length

Have a good day!

The volume of a rectangular prism is given by V = l×w×h

48 = 3×4×n

48 = 12n

n = 4

Answer:

n = 4

Step-by-step explanation:

The volume of a rectangular prism is given by

V = l×w×h

Subbing in known variables and solving

48 = 3×4×n

48 = 12n

n = 4

Answer:

We'd need to see the full circle to answer

Step-by-step explanation:

Answer:`

the answer to your question is C :)

Note that the IRS Installment Agreement form 433-D can be mailed to

Internal Revenue Service

ACS Support

PO Box 8208

Philadelphia, PA 19101-8208.

Please note   that you will need to include a copyof your most recent tax return with your Form 433-D.

You can also   include any other documentation that you think would be helpful in your request foran installment agreement.

Here are some additional tips for mailing Form 433-D -

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Answer:

$15

Step-by-step explanation:

$25.50 divide it by 3 is 8.5, we multiply that by 10 and the result is rested from 100

You will receive $15 as change after buying 10 pizzas.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign "=".

Given is that you bought 10 vegetarian pizzas and pay with $100. Also, 3 vegetarian pizzas cost $25.50.

Assume that you receive $[x] as change after buying the pizzas. So, we can write -

[x] = {100 - (25.5/3)10}

[x] = 10{10 - (25.5/3)}

Solving the equation further, we get -

[x] = 10{10 - (25.5/3)}

[x] = 10{10 - 8.5}

[x] = 10 x 1.5

[x] = 15

Therefore, you will receive $15 as change after buying 10 pizzas.

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Answer:

She bought 5 pounds of coffee.

Step-by-step explanation:

We are looking for how many pounds so pounds would be your x.

each pound costs $8.62.

You are taking the money she payed for the coffee away from the $70 she received.

Set up your equation

70 - 8.62x = 26.90

Solve for x  

Subtract 70 from both sides  70-70 (Cancels out) - 8.62x= 26.90-70

-8.62x = -43.10

Divide -8.62 from each side.  -8.62/-8.62(cancels out) x = -43.10/-8.62 (two negative numbers multiplied or divided by each other makes a positive)

x=5

a) The present value of $25,000 due 9 periods from now, discounted at 10%, is approximately $10,593.22.

b) The present value of $25,000 to be received at the end of each of 6 periods, discounted at 9%, is approximately $22,935.35.

(a) Present Value of $25,000 due 9 periods from now, discounted at 10%:

To calculate the present value, we need to discount the future cash flow of $25,000 back to its current value using the given discount rate of 10%. The formula to calculate the present value is:

Present Value = Future Value / (1 + Discount Rate)ⁿ

Where:

Future Value is the amount to be received in the future ($25,000).

Discount Rate is the rate at which we discount the future cash flow (10%).

'n' is the number of periods or years until the future cash flow is received (9 periods in this case).

Let's plug in the values into the formula and calculate the present value:

Present Value = $25,000 / (1 + 0.10)⁹

Calculating the denominator:

(1 + 0.10)⁹ = 1.10⁹ ≈ 2.36

Present Value = $25,000 / 2.36 ≈ $10,593.22

(b) Present Value of $25,000 to be received at the end of each of 6 periods, discounted at 9%:

In this case, we have a cash flow of $25,000 to be received at the end of each of 6 periods, discounted at 9%. Let's calculate the present value:

Present Value = $25,000 / (1 + 0.09)¹ + $25,000 / (1 + 0.09)² + ... + $25,000 / (1 + 0.09)^6

Calculating each discount factor:

(1 + 0.09)¹ ≈ 1.09

(1 + 0.09)² ≈ 1.1881

(1 + 0.09)³ ≈ 1.2950

(1 + 0.09)⁴ ≈ 1.4116

(1 + 0.09)⁵ ≈ 1.5386

(1 + 0.09)⁶ ≈ 1.6765

Plugging in the values and summing them up:

Present Value = $25,000 / 1.09 + $25,000 / 1.1881 + $25,000 / 1.2950 + $25,000 / 1.4116 + $25,000 / 1.5386 + $25,000 / 1.6765

Present Value ≈ $22,935.35

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The equation of the function in slope-intercept form is: y = -4x + 5.

The slope-intercept form of an equation that represents a function is expressed as y = mx + b.

Given the table:

x  |  y  

-2   13

2    -3

6    -19

10   -35

Step 1: Using two pairs of values from the table, (-2, 13) and (2, -3), find the slope:

Slope (m) = change in y / change in x = (-3 - 13) / (2 - (-2))

m = -16/4

m = -4

Step 2: Find the y-intercept (b) by substituting m = -4 and (x, y) = (2, -3) into y = mx + b.

-3 = -4(2) + b

-3 = -8 + b

-3 + 8 = b

5 = b

b = 5

Step 3: Write the equation in slope-intercept form by substituting b = 5 and m = -4 into y = mx + b.

y = -4x + 5

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Answer:

1. f(x)=2  2. g(x)7 14

Step-by-step explanation:

1. if you graph the points for f(x) then you get 2.

2. if you graph the points for g(x) then you get 7.

and there is your answer! hope this helps!

Answer: Point F is at location (-4, -5)

The x and y axis meet at the origin (0,0)

Start at the origin and move 4 units to the left. This means the x coordinate is x = -4

Then move 5 units down so the y coordinate is y = -5

Put together (x,y) = (-4, -5) describes where point F is located.

Answer:

(-4-5)

Step-by-step explanation:

Answer:

Yes.

Step-by-step explanation:

Yes.

You can prove it using SAS and CPCTC.

Start with an  isosceles triangle with a horizontal base and the vertex angle above.

Draw the angle bisector at the vertex angle and extend it down until it intersects the base of the isosceles triangle.

Now you have two smaller triangles, right and left sides of the original triangle.

We now prove the two smaller triangles are congruent. The two congruent sides of the main triangle are congruent corresponding sides of the two smaller triangles. The bisected angle becomes two congruent angles in the two smaller triangles. Finally, the angle bisector is congruent to itself and is a side of both smaller triangles. By SAS, the two smaller triangles are congruent. Then, the two segments in the base of the isosceles triangle are congruent by CPCTC. That makes the point of intersection of the angle bisector and the base of the isosceles triangle the midpoint of the base.

Answer:

(A) B h(x)= -2x-5.5

(B) The y intercept is (0,-5.5)

(C) The rate of change is -2

(D) The x intercept is (-2.75,0)

18 root

2

Step-by-step explanation:

In this question imagine there is no y

It will be 10 root2 +5 root2 +3 root 2 it will be 18 root 2

Thus, The P-value is 0.0386. Reject the null hypothesis that there is no difference in the GPAs.

Based on the given information, the university is comparing the grade point averages of theater majors with the grade point averages of history majors.

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Answer:

y=-3x

Step-by-step explanation:

THe equation formula is y=mx+b, with m being the slope and b being the y-intercept. Because the y intercept is 0, you don't need to include it.

Answer:

m=9h

Step-by-step explanation:

I did the test

Young people respond more favorably to literature that reflects their cultural customs, and this is because of the importance of cultural background in children’s reading development. Ethnic and cultural differences play an essential role in the children's reading development.

Children's cultural and ethnic background has a considerable impact on their learning, and thus the type of literature they respond to. Children tend to read more when they find that the stories and books reflect their cultural customs and identity. This enhances their literacy and reading skills, which in turn leads to an increased interest in reading and a better understanding of what they are reading.

Cultural diversity can help children become more empathetic and accepting of differences, and can help them to learn about new cultures. Therefore, it is crucial to provide children with access to a range of culturally diverse literature to help them understand the experiences of others. Children learn more effectively when they can make connections between what they are learning and their own experiences.

In conclusion, children's reading development is influenced by their ethnic and cultural background. Young people respond more favorably to literature that reflects their cultural customs, which can help them to become more empathetic and accepting of differences, as well as develop their literacy and reading skills. Therefore, it is essential to provide children with a range of culturally diverse literature to help them learn about new cultures and understand the experiences of others.

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Answer:

i just need point im so sorry only in Geomotry

Your slope is 4/3

You y-intercept is -5

put it in slope intercept form which is y=MX+B

you get y=4/3x-5

Answer:

B. What is the area of regular polygon

Answer:

Without the graphic, 5 1/8 would be 1 mark after the whole 5.

Step-by-step explanation:

There are 8 sections between 5 and 6. 5 1/8 is between those two numbers.

So a point would be about 12.5% of the way to 6.

Answer: To find the percentage of the down payment to the purchase price, just multiply the down payment by 100 and divide the result by the   purchase

i.e 15,000 x 100/ 150,000= 10%

Also for the second part, multiply the down payment by 100 and divide by the purchase price

i.e 67,500 x 100 / 150,000= 45%

Step-by-step explanation:

Solution:

The given information would be illustrated with the image below as;

We would apply the tangent ratio. Let x be the distance between the base of cliff and the ship. We have;

Then, we have;

FINAL ANSWER:

The least polynomial that contains the roots - 1, 9, 3 - i 2 is x⁴ - 14 · x³ + 39 · x² + 82 · x + 36.

In this problem we need to find a least polynomial that contains all the roots given. In accordance with the statement, the polynomial must contain three real roots: - 1, 9, and a complex root: 3 - i 2. But the quadratic formula indicates that quadratic functions with real coefficients may have two complex roots of the form: α + i β, α - i β. Then, the roots of the least polynomial are - 1, 9, 3 - i 2, 3 + i 2.

Now, the polynomial in factor form is:

p(x) = (x + 1) · (x - 9) · (x - 3 + i 2) · (x - 3 - i 2)

p(x) = (x² - 8 · x - 9) · (x² - 6 · x - 4)

p(x) = x² · (x² - 6 · x - 4) - 8 · x · (x² - 6 · x - 4) - 9 · (x² - 6 · x - 4)

p(x) = x⁴ - 6 · x³ - 4 · x - 8 · x³ + 48 · x² + 32 · x - 9 · x² + 54 · x + 36

p(x) = x⁴ - 14 · x³ + 39 · x² + 82 · x + 36

The least polynomial is x⁴ - 14 · x³ + 39 · x² + 82 · x + 36.

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The decorative mug at airport costs $10.99 and costs 70.99 Yuan. in China.

Let's choose the decorative mug with a cost of $10.99 and the country China with an exchange rate of 6.4651 Yuan per US dollar. To convert the cost of the decorative mug into Yuan, we need to multiply the cost by the exchange rate:

Cost in Yuan = $10.99 × 6.4651 Yuan/US dollar

Cost in Yuan = 70.986849 Yuan

Therefore, the cost of the decorative mug in China is 70.986849 Yuan. The exchange rate refers to the value of one currency for the purpose of conversion to another currency. It represents the amount of one currency that can be exchanged for a unit of another currency.

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Complete Question

The cost of the five most popular items at an airport gift shop includes a $10.99 decorative mug, a $3.99 postcard, a $4.59 keychain, a $16.29 t-shirt, and a $7.89 teddy bear. Everleigh is interested in seeing the cost of the items in another currency. The most current currency conversion rates for 1 U.S. dollar are the following:

Country:

China

Denmark

Sweden

Name of currency:

Yuan(china)

Krone(Denmark)

Krona(Sweden)

Exchange rate:

6.4651(china)

6.3394(Denmark)

8.6964(Sweden)

Choose one airport gift shop souvenir and one country. Convert the cost of the chosen souvenir into the currency of that country. Show all necessary mathematical calculations.

The probability of choosing a red marble is 1/6.

Probability is the chance of occurring a certain event out of total possible events that can order in a given situation.

According to the given question an urn contains 19 red marbles, 29 blue marbles, and 43 yellow marbles.

So there are total of ( 19 + 29 + 43 ) = 85 marbles.

∴ No. of sample space N(s) = 85.

No. of red marble N(red) = 19.

One marble is to be chosen from the urn without looking the probability of choosing a red marble P(red) is N(red)/N(s) which is

P(red) = 19/85

P(red) = 1/5.

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