A ball is thrown from an initial height of 5 feet with an initial velocity of 32 ft/s. The height h (in feet) after t seconds is represented by the function h=-16t^2+32t+5. Find the maximum height of the ball.

Answers

Answer 1
Find the derivative and set equal to 0 (the speed of the object is zero when the object is at max height and s hanging direction)
-32t+32=0

So the object hits a max at t=1

Plug that into original equation and get h=21 feet

Related Questions

The diameter of a circle is 4 units.
What is the radius of the circle?
units

Answers

Answer:

radius = D/2

Step-by-step explanation:

radius= 4unit/2

=2unit

25% of what number is 20

Answers

Answer:

100

Step-by-step explanation:

I need help on this. Can someone explain it?

Answers

Answer:

noooooooooooooooooooooo

I’ve attached my work....
Hope it helps!
Have a nice day or night :O
Any concerns just comment and I can respond

A right rectangular prism has a square base and a volume of 225 cubic centimeters. The height, h, of the prism is 9 centimeters. Find the area of the base, B. A. B. C. D.

Answers

Answer:

Area of base = 25cm

Step-by-step explanation:

The formula for the volume of a rectangular prism is:

Volume = length × width × height = lwh

for a square base, length = width

∴ volume = l × l × h = l²h

where:

l = length

h = height = 9cm

volume = 225 cm³

∴ 225 = l² × 9

l² = 225 ÷ 9

l² =  25

∴ length = √ 25 = 5cm

Area of base = Length × Length = 5 × 5 = 25cm

math easy question?
pls help

Answers

step 2

because she should substitute the negative sign to 6
The correct answer should be step 2, B is correct choice (step 2)

I’ll give brainliest!! Plz answer!
Look at the image for the question

Answers

HENCE , ANSWER IS,8/9

mark me as brainlist

Find the volume of the cone-

Answers

Answer:

12.6ft³

Step-by-step explanation:

Hey There!

So the first thing we need to do is find the formula for volume of a cone

[tex]V=\pi r^{2} \frac{h}{3}[/tex]

r = radius

h = hypotenuse

Now all we have to do is plug in the hypotenuse and the radius

[tex]V=\pi 2^{2} \frac{3}{3}[/tex]

2²=4

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

4xπ=12.5663706144

And now we just round to the nearest tenth

so we can conclude that the volume of the cone is 12.6ft³

Find the dimensions of the square or circle.

Answers

Complete question is;

Find the dimensions or, the square or circle. Area = 64π in²

Answer:

r = 8 inches

Step-by-step explanation:

We know that formula for area of a circle is; A = πr²

Where r is radius.

We are given Area as 64π in²

Thus;

πr² = 64π

π will cancel out to give;

r² = 64

r = √64

r = 8 inches

Write the inequality represented by each graph..
Graph one : (0,-1) (6,3)

Graph two : (0,3) (4,-5)


Help

Answers

Answer:

Step-by-step explanation:

HERE ARE THE ANSWERS

x2 - 18x + 81
True or False?
Your FACTOR is when you SQUARE your B value.

Answers

in this way you can solve this

Simplify the expression.

7.5(–5.9)


–44.25


14.25


–11.21


44.25

Answers

Answer:

[tex] - 44.25[/tex]

Step-by-step explanation:

All i did was put it in a calculator

Answer:

hi the answer is :

-44.25

help please i’ll give points !!

Answers

Answer: C :)

Step-by-step explanation:

It should be c but i am only in the 7th grade so it might not be right but i am pretty sure it is right.

The ___________________________ of an object is how heavy the object is

Answers

Answer:

Mass

Step-by-step explanation:

Answer:

the answer is weight.

Step-by-step explanation:

hope this helps!! please mark brainliest.

Evaluate each function.
f(t) = t– 5t; Find f(t - 2)

Answers

Answer: -4t+8 is your answer.

also can you make me the brainiest please

Thank You

-Parshv

whats12 divided by 1/3 (infractions)

Answers

12 divided by 1/3 is also equal to 12 times 3.

12x3=36

To double check, you could use a calculator, but the answer would still be 36.

sorry if this doesn't help

Answer:

36/1

36

Step-by-step explanation:

PLSSS HELP GEOMETRY!!! LOOK AT IMAGE!

Answers

Answer:JI=16, JH=15, <W=37, <J=114, <I= 29

Step-by-step explanation:

When naming congruent triangles, the corresponding points are named in order from one triangle to another.

Since it states triangle WXY is congruent to triangle HJI this means that W corresponds to H, X corresponds to J and Y corresponds to I.

JI corresponds to XY, JH corresponds to XW angle W corresponds to angle H, angle J corresponds to angle X and angle I corresponds to angle Y. Use the triangle congruency statement as your roadmap.

To find the missing angle in the triangle, use the triangle angle sum theorem which states that all interior angles of a triangle sum to 180.

37+114+<I= 180. Combine like terms.

151+<I=180. Subtract 151 from both sides.

<I= 29

Triangle DEF is on a coordinate plane with its
vertices located at D( – 3,5), E( – 3, - 2), and
F(3,0). What is the area of ADEF in square
units?​

Answers

Answer:

[tex]21\ \text{square units}[/tex]

Step-by-step explanation:

The points are [tex]D(-3,5), E(-3,-2)[/tex] and [tex]F(3,0)[/tex].

Area of a triangle is given by

[tex]A=\dfrac{D_x(E_y-F_y)+E_x(F_y-D_y)+F_x(D_y-E_y)}{2}[/tex]

[tex]\Rightarrow A=\dfrac{-3(-2-0)+-3(0-5)+3(5-(-2))}{2}[/tex]

[tex]\Rightarrow A=21\ \text{square units}[/tex]

The area of the given triangle is [tex]21\ \text{square units}[/tex].

what's the percentage of change from 20 is decreased to 11​

Answers

Answer:

The percentage is 45 percent.

Step-by-step explanation:

Can somone please help me and explain very much appreciated and this is 7th grade math btw

Answers

Answer:

4 8.95h + 10 < 115

Step-by-step explanation:

Answer: 4) 8.95h + 10 < 115

Step-by-step explanation:

We know the inequality will be equal to less than 115 since it states that the order was less than $115.

The equation would look like: some amount of shin guards times 8.95 each + $10 shipping = less than $115

8.95h + 10 < 115

(h in the given equation is the amount of shin guards)

I need help with these questions (see image). Please show workings.

Answers

Answer:

Inscribed angle is half of the intercepted arc.Central angle is the same size as the intercepted arc.

As per above two statements we have:

y = 2*58° = 116°

and

z = 90°/2 = 45°

Answer:

y=58×2=116 central angle of the cyclic quadrilateral is double if inscribed angle

z=90/2=45

inscribed angle is half of central angle of the cyclic quadrilateral

Find the mean absolute deviation (MAD) of the following data set. Round your answer to two decimal places.

3, 10, 6, 9, 7, 4

Answers

Answer:The mean absolute deviation (MAD) of the data set=2.17

Step-by-step explanation:

The mean absolute deviation (MAD) is also called the Mean deviation which tells us the variation and average distance of the mean and each  data value in a data set.

Given the data set

3, 10, 6, 9, 7, 4

First find the mean

Mean  =Sum of data set / Number of data set

=3+10+ 6 +9 + 7+ 4/ 6 =39/6 = 6.5

Next step is to subtract each data set from the mean and ignoring any negative sign accompanied to find the distance from the mean

Value  distance from mean

3,        6.5 -3             3.5

10       6.5 -10           3.5

6,       6.5-6             0.5

9,        6.5 -9            2.5

7,         6.5 -7            0.5

4            6.5 -4         2. 5

Last step is to find the mean of the distances which is

Mean Deviation = (3.5+ 3.5+ 0.5+ 2.5+0.5+ 2.5) /  6

=13/6

=2.166666 rounded up to 2.17

karen is building a house in Norfolk, Virginia. She would like a bedroom that is 12 feet in length by 10 feet in width. What is the area of the bedroom?

Answers

Answer:

POINTFARMER.EXE=EZ

Step-by-step explanation:

Answer:

120 feet^2

Step-by-step explanation:

Which inequality represents all possible solutions of - 4n<16?

Answers

4n is the soultioncAnswer:

Step-by-step explanation:

Someone help please

Answers

Answer:

A=(b^2)h/2

Step-by-step explanation:

what is the mixed number: 1 and 3/4 as a percent​

Answers

Answer:

175%

Step-by-step explanation:

1 would be 100%

3/4 would be 75%

100%+75%=175%

Please I beg help show work

A 94
B 1
C 47
D 3

Answers

Answer:

x = 3

Step-by-step explanation:

15x + 2 = 9x + 20

Now solve for x

Subtract 2 from each side

15x = 9x + 18

Subtract 9x from each side

6x = 18

Divide each side by 6

x = 3

Answer: x=3

Step-by-step explanation:

When you have two parallel lines cut by a transversal (line that goes across them), it forms special angles. One of those special angles is alternate interior angles. Alternate meaning opposite sides of the transversal and interior meaning on the inside of the parallel lines. The special relationship of these angles is that they are equal.

9x+20 and 15x+2 are alternate interior angles which means they are equal. Set them equal to each other to solve for x.

9x+20= 15x+2. Subtract 9x from both sides.

20= 6x+2. Subtract 2 from both sides.

18=6x. Divide both sides by 6.

3=x

What is the equation of a circle whose center is at the origin and whose radius is 16?

x 2 + y 2 = 4
x 2 + y 2 = 16
x 2 + y 2 = 256

Answers

X2 + Y2 = 256

Best luck with your studying

Answer:

x^2 + y^2 = 256

good luck and have an awesome Day/Night

Which of the following statement(s) describes the rate of change of f over the interval 1.5 SXS 3? Select all that apply.

A. The rate of change is 1/2

B. The rate of change is 2

C. The rate of change is constant

D. The rate of change is increasing

Answers

The answer is going to be C

What would be the best estimate for the height of a front door?

Answers

Answer: The height of a standard door is about 2 m. The length of an adult pace is about 1 m. The length of a size 8 shoe is about 30 cm. Most adults are between 1.5 m and 1.8 m in height.

Step-by-step explanation:

What is the greatest common factor of 46 and 16?

Answers

Answer: The greatest common factor is 2
the greatest common factor is 2
Other Questions
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