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The graph shows the height, y, of a diver x seconds after she jumps from a 25 meter diving platform. At what approximate value of x seconds is the diver's maximum height reached?

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Answer:

Distance = √17

Step-by-step explanation:

We are looking for the distance between 5 + 4i and 9 + 3i.

This is as equal to saying we have two points in the plane, whose coordinates are; (5, 4) and (9, 3)

Distance between the 2 points will be;

D = √[(5 - 9)² + (4 - 3)²]

D = √(16 + 1)

D = √17

Answer:

The population at the beginning of 2016 is 55,326.

Step-by-step explanation:

Giving the following information:

Population 2010 (PV)= 42,000

Growth rate (g)= 4.7% = 0.047

Number of years (n)= 6 years

To calculate the population at the beginning of 2016, we need to use the following formula:

FV= PV*(1+g)^n

FV= 42,000*(1.047^6)

FV= 55,326

The population at the beginning of 2016 is 55,326.

Answer:

28,000 Ft

Step-by-step explanation:

Answer: 16 is -15700  and 17 28,000

Step-by-step explanation:

Answer:

1) 1/3

2) 1/2

3) 4/1

4) 3/4

5) 2/5, 4/10, 4:10, 4 to 10

6) 3:4, 6/12, 6:12, 6 to 12

7) 3 to 1, 9/3, 9:3, 9 to 3

8) 7/9, 14/18, 14:18, 14 to 18

9)

a) 3/2

b) 3/5

c) 27:18

10) 96 birds visited the feeder

11)

a) nuts row: 3, 6, 9, 12

   raisins row: 4, 8, 12, 16

b) 7.5 cups

12)

a) This ratio means that for every 9 boys in the school there are 10 girls

b) 570 students

Answer:

3.625

Step-by-step explanation:

Answer:

62

Step-by-step explanation:

“To find the mean absolute deviation of the data, start by finding the mean of the data set. Find the sum of the data values, and divide the sum by the number of data values. Find the absolute value of the difference between each data value and the mean” you are basically adding all the numbers together and dividing by the amount of numbers there

Hope this helped

Answer:

(9,12)

Step-by-step explanation:

Answer:

D. the runner can run less than 12 miles

Answer:

N is a negative number, and since you did not provide a clear first option, I will assume the answer is none of the above. However, the accurate answer is n < 0.

Step-by-step explanation:

Hope this helped!

Answer:

The amount by which her monthly payment will be lower if she purchases the points is $57.12.

Step-by-step explanation:

Since Alana will make a 20% down payment, the mortgage loan balance can be calculated as follows:

Mortgage loan balance = Mortgage amount – Down payment = $160,000 – ($160,000 * 20%) = $160,000 - $32,000 = $128,000

The amount by which her monthly payment will be lower if she purchases the points can now be calculated using the following steps:

Step 1: Calculation of monthly payment without purchasing 3 points

The monthly payment can be calculated using the formula for calculating loan amortization as follows:

P = (A * (r * (1 + r)^n)) / (((1+r)^n) - 1) .................................... (1)

Where,

P = monthly payment without purchasing 3 points = ?

A = Mortgage loan balance = $128,000

r = monthly interest rate = 4.9% / 12 = 0.049 / 12 = 0.00408333333333333

n = number of payment months = 30 years * 12 months = 360

Substituting all the figures into equation (1), we have:

P = ($128,000 * (0.00408333333333333 * (1 + 0.00408333333333333)^360)) / (((1 + 0.00408333333333333)^360) - 1)

P = $679.33

Step 2: Calculation of monthly payment if she purchases 3 points

Typically, each points purchased reduces the interest rate by 0.25%. Since Alana is considering a purchase of 3 points, her new interest rate can then be calculated as follows:

New interest rate = 4.9% - (0.25% * 3) = 4.9% - 0.75% = 4.15%

The monthly payment can also be calculated using the formula for calculating loan amortization as follows:

P3 = (A * (r * (1 + r)^n)) / (((1+r)^n) - 1) .................................... (2)

Where,

P3 = monthly payment if 3 points is purchased = ?

A = Mortgage loan balance = $128,000

r = new monthly interest rate = 4.15% / 12 = 0.0415 / 12 = 0.00345833333333333

n = number of payment months = 30 years * 12 months = 360

Substituting all the figures into equation (2), we have:

P3 = ($128,000 * (0.00345833333333333 * (1 + 0.00345833333333333)^360)) / (((1 + 0.00345833333333333)^360) - 1)

P3 = $622.21

Step 3: Calculation of the amount by which her monthly payment will be lower if she purchases the points

This can be calculated as follows:

Amount of reduction = P - P3 = $679.33 - $622.21 = $57.12

Therefore, the amount by which her monthly payment will be lower if she purchases the points is $57.12.

Answer:

28.87

Step-by-step explanation:

i just did the quiz

Answer:

40 times greater

Step-by-step explanation:

Given the following:

Pluto average distance from the sun Ps =  3.6 x 10^8 miles

venus average distance from the sun Vs = 9.0 x 10^6miles

Take the ratio:

Ps/Vs = 3.6 x 10^8/9.0 x 10^6

Ps/Vs = 0.4*10^{8-6}

Ps/Vs = 0.4*10²

Ps/Vs = 40

Ps = 40Vs

Hence the pluto's average distance from the sun is 40 times greater than that of venus

Answer:

x > 20 and x < 50; Malcolm needs to consume more than 20 grams of carbohydrates, but less than 50 grams of carbohydrates.

Step-by-step explanation:

Answer:

rate = 24*100/(400*2) = 3%

Step-by-step explanation:

Answer:

a) <DXC and < CXB are complementary angles

b) Supplementary angles

<AXB and <DXB

<AXC and DXC

Step-by-step explanation:

Complementary angles: Two angles are complementary angles if their sum equals 90°

Supplementary angles: Two angles are Supplementary angles if their sum equals 180°

a) Name a pair of complementary angles

So, <DXC and < CXB are complementary angles

b) Name two Supplementary angles pair

<AXB and <DXB (their sum equals 180°)

<AXC and DXC ((their sum equals 180°))

Answer:

B

Step-by-step explanation:

15+15=30

30/9=3 r3 doesn't work

30+15=45

45/9=5

Step-by-step explanation:

one second 12345678910

Answer:

8 years old

Step-by-step explanation:

Pls give brainliest!

Answer:

52.2% or A

Step-by-step explanation:

55+50 = 105

105/200 = 0.525

0.525 x 100 (to get the percent) = 52.5%

Answer:

52.5%

Step-by-step explanation:

Add together the number of papers delivered on Saturday and Sunday. Then divide that by the total number of papers delivered.

55+50 = 105

105/200=52.5%

Answer: (24 + 60) = (6 × 4 + 6 × 10) = 6 × (4 + 10)

Answer:

$10.2

Step-by-step explanation:

Use this formula:

Price of product after discount = Initial  Price * ( 1 - (discount/100) )

Answer:

d

Step-by-step explanation:

because there is a closed dot at -4 you use the one with a line under it showing it is included and because there is open at 4 you use one without a line to show it is not included

Answer:

The range is 40 and the midrange is 20.

For the given number, the range is 40 and the midrange is 20. Option C is correct.

Given that,
42, 20, 36, 51, 60, 28,

Range, it is the set of values that come out to an outcome for a certain mathematical operation.

Here,
In the given series least number = 20
Largest number = 60
Range = 60 - 20 = 40

Midrange = 40 / 2 = 20

Thus, For the given number, the range is 40 and the midrange is 20. Option C is correct.

learn more about the range here:
https://brainly.com/question/12239390

#SPJ5

Answer:

no this can't become a number that can be graphed

Answer: 19

Step-by-step explanation:

Answer:12 cents per pencil

Step-by-step explanation:

1.44/12