Vanessa throws a tennis ball in the air. The function h(t) = -15t2 + 45t + 10 represents the distance in feet, that the ball is from the ground at any time in seconds, t. What is the maximum height of the ball?

Answers

Answer 1

Answer:

43.75feet

Step-by-step explanation:

Given the height of the tennis ball expressed as;

h(t) = -15t^2 + 45t + 10

At maximum height, the velocity of the ball is zero

v = dh/dt

dh/dt = -30t + 45

Since dh/dt = 0, hence;

0 = -30t + 45

30t = 45

t = 45/30

t = 3/2

t = 1.5secs

Substitute t = 1.5 into the expression given

h(1.5) = -15(1.5)^2 + 45(1.5) + 10

h(1.5) = -15(2.25)+67.5+10

h(1.5) = -33.75+77.5

h(1.5) = 43.75feet

Hence the maximum height of the ball is 43.75feet


Related Questions

round nearest hundredth​

Answers

Answer:.

Step-by-step explanation:nearest hundredth the answer for this question is joe mama

Please help if you can!!!

Answers

Answer:

Step-by-step explanation:

y = ax² + bx + c

Plug in the three given points, then solve for a, b, c

(-3,0): 0 = 9a - 3b + c

(4,0): 0 = 16a + 4a + c

(0,-12): -12 = c

9a - 3b = 12

3a - b = 4

16a + 4b = 12

4a + b = 3

a = 1

b = -1

y = x² - x - 12

Complete the statement. 80 oz = ____ lb

Answers

Answer:

5 lb

Step-by-step explanation:

1 pound is 16lb

80 ÷16=5

What is the value of 6(2b-4) when b=5?

Answers

Answer:

36

Step-by-step explanation:

Substitute b=5 to the expression:

=6(2(5)−4)

Evaluate inside the parentheses. Multiply 2 and 5 first:

=6(10−4)

Then subtract:

=6(6)

Finally, multiply:

=36

Answer: The value of 6(2b-4) when b=5 is 36.

Step-by-step explanation:  Given expression: 6(2b-4). To find the value of 6(2b-4) at b= 5, we need to substitute the b=5 in the expression, we get….Therefore, the value of 6(2b-4) is 36, when b=5.

Which shows the equation of the line that is parallel to the line 4x + y = 4 and passes through
the point (5, 4)?

Answers

Answer:

i B-elive it is B XD

Step-by-step explanation:

Answer:

D. y=-4x+24

Step-by-step explanation:

1.4x+y=4

y=-4x+4

2.4=-4(5)+a

4=-20+a

a=24

3.y=-4x+24

-

A store manager earns $24.00 per hour. If the manger works 8 hours one day and donates 1/10 of the days earnings to charity how much of the earnings are left?

A $19.20

B$29.60

C $172.80

D 192.00

Answers

The answer would be letter A

The country of Sylvania has decided to reduce the number of its illiterate citizens by 3/5 each year. This year there are 9000 illiterate people in the country.

Write a function that gives the number of illiterate people in Sylvania, P(t), t years from today

Answers

Answer:

P(t)= 9000(0.4)^t

Step-by-step explanation:

Generally, we have an exponential function as follows;

P(t)= I(1 - r)^t

This case represents a decay ( decrease in value)

from what we have;

I represents the initial value, whereas r is the rate of change

From the question, we have that the change rate is the fraction 3/5

Writing this as a decimal, it is 0.6

substituting this back into the equation, we have;

P(t)= I(1-0.6)^t

P(t)= I(0.4)^t

I in this case is 9,000

So we have it that;

P(t) = 9000(0.4)^t

jimmy has 90 billion watermelons and spends on a rocket that cost 42 billion melons how much will jimmy have?

Answers

Answer:45,000,000,000 melons

Step-by-step explanation:

90,000,000,000-45,000,000,000=45,000,000,000

HELP FAST!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

When does this need to be turned in and graded

Answer:

the answers are down below

Step-by-step explanation:

1. 17/5

2. 31/4

3. 7/3

4. 3/2

5. 23/5

6. 20/3

7. 19/2

8. 35/4

9. 47/6

10. 21/4

I hope this helps       :)

to insure goods to send them overseas it costs the exporter 5/2% of the value of the goods. if the goods are valued at 16.400$, what will be the insurance cost?​

Answers

Answer:

The insurance costs to send goods valued at $16,400 is $410  

Step-by-step explanation:

The amount it costs an exporter to insure goods to send overseas = (5/2)% of the value of the goods

Therefore;

The insurance costs, 'C' to send goods valued at $16,400 is given as follows;

C = $16,400 × (5/2)/100 = $410

The insurance costs to send goods valued at $16,400 = $410

Find the area plz plz

Answers

Answer:

57.475 ft2

Step-by-step explanation:

12.1x9.5= 114.95

114.95/2= 57.475

Answer:

[tex]\Huge\boxed{57.475 ft^2}[/tex]

Step-by-step explanation:

Hello there!

The following figure shown is a triangle

The area of a triangle can be calculated using this formula

[tex]A=\frac{bh}{2}[/tex] where b = base and h =height

The height of the triangle is 12.1 ft and the base length is 9.5ft

Knowing this information all we have to do is plug in the values into the formula

[tex]A=\frac{12.1*9.5}{2} \\12.1*9.5=114.95\\\frac{114.95}{2} =57.475\\A=57.475[/tex]

So we can conclude that the area of the triangle is 57.475 square feet

ryan has some (donuts) he takes 5 away how many donuts does ryan have now.

d - 5 = ?

Answers

Answer:

7

Step-by-step explanation:

The side length 11, 13, 25 will form a triangle

True or False

Answers

Answer:

The answer is False.

THE ANSWER IS FALSE !

1 1/2 years is how many months

Answers

18
12 + 6 = 18
There Are 12 In One Year.

Answer:

18 months

Step-by-step explanation:

12 + 6 months

yooo help me with number one pls??

Answers

Answer:

Ethier A or D

Step-by-step explanation:

The answer is d

Y=5x

Explanation

Y=5(3)=15
Y=5(1)=5

It is the only one in which you can get both 5 and 15.

Can anyone help me with this question please ?

Answers

I would think it’s answer choice D.

which method between graph method and table method friendly use? Motivate your answer​

Answers

Answer:

in my experience table method is friendly use because it is easier to work with than a graph

Graph is good for seeing the overall trend/pattern in your data

Table is good for knowing the specific numerics

Each has its pros and cons so use it based on your needs

A driveway measures 1.25 miles.

What does the driveway measure in feet?

Answers

Answer:

If you have a conversion table that would be 6600 feet.

Step-by-step explanation:

brainliest? >.<

Answer:

I think it's 3,960 ft!

Please give brainliest!

Will give brainiest to whoever figured this out

Answers

Answer:

your answer will be 0.0001042

Step-by-step explanation:

hope it helps

have a wonderful day

find the value of given expression

[tex] \sqrt{9 \times 81 \times 9} [/tex]

Answers

Answer:

√{9×81×9}=√(9²×9²)=±(9×9)=±81

Answer:

your answer will be 81

Step-by-step explanation:

.......

The mean of the numbers 22,18,(2y+1),10 and 20 is 15.
find the median.​

Answers

Answer:

Median is 18

Step-by-step explanation:

Firstly you have to fine y by using your mean

Therefore, 22+18+(2y+1)+10+20 divide it by the number of the mean that is the sum of the number divide by the total number of the mean which is 5 =15

22+18+2y+1+10+20 over 5 =15

71+y over 5 =15

Cross multiple

71+y=75

y=4

22,18,9,10, 20

Rearrange

9,10,18,20,22

The median is 18

Pls mark answer as brainliest

the length of a rectangle is 6 feet longer than its width the perimeter is less than 48 feet write a mathematical expression for the width of the rectangle

Answers

Answer:

288

Step-by-step explanation:

7. Angles that are complementary
add up to 90 degrees. If two
complementary angles are in the
ratio of 4:1. how large is the larger
angle?

Answers

Answer:

72 degrees is the larger angle

Step-by-step explanation:

SImple ratio problem

So we got a ratio of 4:1 that eqauls to 90 degrees when added up. We can jsut add the 2 numbers 4+1 which will be 5. Now divide 90 by 5 which will equal 18. Now we multiply 18 by each number int he same order of the ratio.

4*18: 1*18

72:18 which equals 90. SInce they ask for the larger angle the answer will be 72.

Couple more to go, thx for the help >:)

Answers

Answer:  Question 1 is x=9

Question 2 is y=-3

Step-by-step explanation:

1. X=9 2. X=-3 ......

Find the value or measure. Assume that all segments that appear to be tangent are tangent. Round answers to the nearest tenth, as needed.

Answers

Answer:

23.26

Steps:

AC=√(10²+21²)

AC=√(100+441)

AC=√541

AC≈23.26

Firewood is often sold by the cord. A cord of wood is a bundle measuring 4 feet by 4 feet by 8 feet. What’s the volume of a cord of wood in cubic feet? A. 128 cu. ft b. 3,456 cu. ft c. 4.74 cu. ft D. 64 cu. ft.

Answers

Answer:

128 cu. ft

Step-by-step explanation:

4 x 4 x 8 = 16 x 8 = 128

Chris has a six sided die. Create a sample
space of possible outcomes for rolling a number. Is this simple or compound event

Answers

Answer:

Sample space: {1, 2, 3, 4, 5, 6}

Simple event

Step-by-step explanation:

Sample space is a list of all the possible outcomes.

This is a simple event because you are only doing one event, such as rolling a die.

A compound event would be multiple simple events, such as flipping a coin and choosing a marble from a bag.

help this is due today ;::

Answers

Answer: C- 17

Step-by-step explanation:

During a walk a thon,noahs time in hours was,t,and distance in miles,d,are related by the equation 1/3d=t .A gragh of the equarion includes points (12,4)

Answers

Question:

During a walk-a-thon, Noah's time in hours was t, and distance in miles, d, are related by the equation [tex]\frac{1}{3}d = t[/tex].  A graph of the equation includes points (12,4).

1. Identify the independent variable.

2. What does the point (12,4) represent in this situation?

3. What point would represent the time it took to walk [tex]7\frac{1}{2}[/tex] miles?  

Answer:

(a) d

(b) He spent 4 hours to walk 12 miles

(c) [tex](7\frac{1}{2},2\frac{1}{2})[/tex]

Step-by-step explanation:

Given

[tex]t = \frac{1}{3}d[/tex]

Solving (a): The independent variable

The independent variable, in this problem is the distance walked. Because the distance walked stands alone, and it is when the distance is known, that the time spent is known.

Hence:

The independent variable is distance (d)

Solving (b): What (12, 4) represents

This implies that:

[tex]distance = 12[/tex]

[tex]time\ spent = 4[/tex]

So: He spent 4 hours to walk 12 miles

Solving (c): Point to represent the time to walk [tex]7\frac{1}{2}[/tex] miles

This implies that:

[tex]d = 7\frac{1}{2}[/tex]

Substitute [tex]d = 7\frac{1}{2}[/tex] in [tex]t = \frac{1}{3}d[/tex]

[tex]t = \frac{1}{3} * 7\frac{1}{2}[/tex]

Express as improper fraction

[tex]t = \frac{1}{3} * \frac{15}{2}[/tex]

[tex]t = \frac{5}{2}[/tex]

Express as mixed number

[tex]t = 2\frac{1}{2}[/tex]

So: The point is, [tex](7\frac{1}{2},2\frac{1}{2})[/tex]

PLS HELP WILL MARK BRAINLIEST!!!

Answers

Answer:

The answer is 8.304 then 8.92 then 167/20 then 8 3/10. :)

Step-by-step explanation:

Answer:

8 3/10, 8.304, 167/20, 8.92

Step-by-step explanation:

Turn all of them into decimals

8 3/10 = 8.30

8.304

167/20 = 8.350

8.92

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