A ball is thrown into the air with a speed of 32 feet per second. The function h=32t - 16t^2 models the height of the ball after t seconds. How many seconds does it take for the ball to reach its maximum height?

Answers

Answer 1

Answer:

t = 1 s

Step-by-step explanation:

The function models the height of the ball after t seconds is given by :

[tex]h=32t - 16t^2[/tex]

We need to find how many seconds does it take for the ball to reach its maximum height.

For maximum height put dh/dt = 0

[tex]\dfrac{dh}{dt}=\dfrac{d}{dt}(32t - 16t^2)\\=32-32t[/tex]

So,

32-32t = 0

t = 1

So, it will take 1 second to reach its maximum height.


Related Questions

Y varies directly as X and inversely as the square of Z. Y=30 when X=75 and Z=5. Find Y when X=36 and Z=2

Answers

Answer:

Y  when X=36 and Z=2 is 90

Step-by-step explanation:

Given -

Y varies directly as X and inversely as the square of Z

[tex]y = \frac{kx}{z^2}\\30 = \frac{k *75}{5^2} \\30 = 75k/25[/tex]

[tex]k = 10[/tex]

As we know

[tex]y = \frac{kx}{z^2}[/tex]

Substituting value of X = 36 and Z = 2 in above equation, we get -

[tex]y = \frac{10*36}{2*2} \\y = 90[/tex]

What is the correct height of the triangle ??

Answers

Answer:

9 units

Step-by-step explanation:

The dotted line, which is the height, is labeled as 9, so it is 9 units.

Hope that helps!

Answer: 9 units

Step-by-step explanation: If you look at the question on the photo you see a dotted line with a 9 on it. On a triangle when you something like that you know it the actual height of the triangle

Can someone help me Asap​

Answers

B. Y=4x-14

Think about where the point is on the grid and then use the slope to get to the y-intercept. So for this question your going to have to move backwards to get to the y axis. Move down 12 units and left 3 and that’ll give you the y-intercept which will match in the equation.

Please HELP!!! 20 POINTS!!

Answers

Answer:

guessing 8

Step-by-step explanation

27-3= 24

24/3=8

Jonathan’s age is one-third Belindas age now in 12 years time Belinda will be M years old

A. Write a algebraic expression to represent Belindas age now

B. Write a algebraic expression to represent Jonathan’s age 5 years from now?

C. If M= 36 what will be Jonathan’s age 5 years from now?

Answers

I’m almost positive your answer is B
The best answer to go with is b

Solve 2(x−5)^1/3=−16

Answers

Answer:

x = − 19

Hope it helps

Please mark me as the brainliest

Thank you

A water tank initially contained 105 liters of water. It is then filled with more water, at a constant rate of 9 liters per minute. How many liters of water are in the tank after 109 seconds? Round answers the nearest whole liter.​

Answers

Answer:

Convert 300 L in 15 seconds to L/min a. ... 10) How many kilograms of water are in a standpipe containing 5678 L? a. ... tank volume if a pump is discharging a constant 60 litres per minute into the tank

Gavin rolls a fair dice 30 times.
How many times would Gavin expect to roll a five?

Answers

The expected number of 5's would be rolled is 5 times if the Gavin rolls a fair dice 30 times.

What is probability?

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

Total outcomes = {1, 2, 3, 4, 5, 6]

Total number of outcomes = 6

Favourable outcomes = {5}

Total number of favourable outcomes = 1

Probability of rolling 5 = 1/6

The expected number of 5's would be 30×(1/6) =  5 times

Thus, the expected number of 5's would be rolled is 5 times if the Gavin rolls a fair dice 30 times.

Learn more about the probability here:

brainly.com/question/11234923

#SPJ1

6. Given that g(x) is the inverse of f(x)...
a. f(x) = 3x + square root x + 3; find g(2)
b. f(x) = e^x; find g'(e3)

Answers

Answer:

sub 2 lazarbeam... yeet yeet yeet

What is the density of a sample with a mass of 5250g and a volume of 4.5mL?

Answers

Step-by-step explanation:

Density=5250/4.5=1166.66 g/ml

Which table represents a linear function?


At a glance, Kendra believes that the function represented on the graph is linear.

How can Kendra determine if the function is actually linear?

She can check to see if the rate of vertical increase equals the rate of horizontal increase between each pair of points.
She can check to see if the sum of each y-value and x-value in every ordered pair is the same.
She can check to see if the quotient of each y-value and x-value in every ordered pair is the same.
She can check to see if the rate of change between the first two ordered pairs is the same as the rate of change between the first and last ordered pairs.

Answers

Hdhsbbsbsbsbsbsbsbshehsheuehdbd

Suppose 2.7 gallons of water come out of a faucet each minute. Find the amount of water coming out in 1.2 minutes.

Answers

Answer:

3.24 gallons

Step-by-step explanation:

2.7x1.2=3.24

Answer:

3.24

Step-by-step explanation:

1.2 is 1 whole plus 20/100

so 1*2.7=2.7

.2*2.7=0.54

0.54+2.7= 3.24

5% of the aliens are green. If there are
40 aliens, how many are green?

Answers

Answer:

2 aliens are green.

Step-by-step explanation:

0.05 * 40 = 2

If you help me I'll make as brilliant​

Answers

The answer is A) 3/100.

The answer is 3/100. If you divide both 12 and 400 by 4 (GCF) you should get 3/100

WILL GIVE BRAINLIEST ANSWER!!
How are the steps for graphing a line
using slope-intercept similar to using
point-slope? How are they different?

Answers

Answer:

they both use y^2-y^1 and x^2 - x^1, one is to find the slope the other is to find the y intercept

Step-by-step explanation:

Slope-intercept is when you have a graph and a equation such as y=mx+b

y = y coordinate

m = slope

x = x coordinate

b = y intercept

point-Slope is when you have this equation and you use (x1, y1) as the coordinates to graph.

y - y1 = m * (x - x1)

A Rectangular has area 12a^2 and perimeter 14a what are the dimensions of this Rectangular?​

Answers

9514 1404 393

Answer:

  3a by 4a

Step-by-step explanation:

For dimensions L and W, the area and perimeter are ...

  A = LW = 12a^2

  P = 2(L+W) = 14a

Using the second equation, we can find L:

  L +W = 7a . . . . . divide by 2

  L = 7a -W

Substituting into the area formula gives the quadratic ...

  (7a -W)(W) = 12a^2

  W^2 -7aW +12a^2 = 0 . . . . arrange in standard form

  (W -3a)(W -4a) = 0 . . . . . . . factor (find factors of 12 that total 7)

Then we have the two solutions ...

  W = 3a, L = 4a

  W = 4a, L = 3a

The rectangle dimensions are 3a by 4a.

please I need someone to help my assignment​

Answers

Answer:

1) 20: 25

2) 15: 3

Step-by-step explanation:

helpppp i'll give brainliest<3

Answers

Answer:

Thats hard

Step-by-step explanation:

Answer:

g. c= 0.5t+5

Step-by-step explanation:

i hope this helps :)

Find X
Pls help i have a quiz

Answers

Okay so you would use the formula to find all sides which is: a2+b2=c2(pretend it’s squared, my keyboard isn’t fancy) then you would plug in the sides into the formulado it would be
5.5+x=12(everything is still squared)
After simplifying the exponent you would have:
30.25+x2=144
Now you would simplify each side
X2=4.33
And then cancel out the 2
Then you would get your answer

1.5b=3
solve for b, it is multiplication

Answers

Answer:

Simple b is 2

Step-by-step explanation:

1.5(2)= 3

Answer:

2

Step-by-step explanation:

So you need to find how many times to multiply 1.5 to make 3.

Divide 3 by 1.5 and you will get 2.

Hope this helps! :D

Please mark Brainliest if this helps you!

In a bag of smarties candy, there are 7 blue candies, 5 yellow candies 1 red candy and 12 green candies. What is the ratio of yellow candies to green candies?

Answers

Answer: 5 : 12

Step-by-step explanation:

There are 5 yellow candies and 12 green candies.

This means that for every 5 yellow candies in the box, there are 12 green candies.

The ratio is therefore:

Number of yellow candies : number of green candies

= 5 : 12

Answer:

5:12

Step-by-step explanation:

In ANOP, the measure of _P=90°, NO = 49 feet, and OP = 19 feet. Find the measure
of N to the nearest degree.
O
N
49
19

Answers

Answer:23

Step-by-step explanation:

Answer:

the answer is 23

Step-by-step explanation:

Two lines that have the same slope do not intersect at any points.
Two lines that have different slopes intersect at exactly one point.

True, True for some cases, False
Please help

Answers

Answer: I am pretty sure that it is true for some cases

Step-by-step explanation:

please help with this!

Answers

Answer:

a) HK

b) EF

c) ∠J

d) ∠E

e) JKH

Can you guys help out? I don't think I have the right answer. Thanks

Answers

Answer:

b and d

Step-by-step explanation:

i think its d i couldnt read the story so if im wrong i am terriably sorry.

29. The circumference of a circle is C centimeters. The diameter of the circle is 13
centimeters.
Which expression best represents the value of ar?

Answers

Answer:If the diameter is 13 you should try each answer until you find pi.

To find pi you have to divide the circumference by the radius.

You don't need to find the circumference in this question but you can.

The circumference is 40.82

Then you have to divide

40.82÷13

that equals 3.14

and because that is pi, C is your answer

Step-by-step explanation:

A model railroad set was originally priced at $60, but Oliver waited to buy it until the model railroad set was on sale for 50% off. If he paid 10% sales tax on the sale price, how much did he pay in total?

$

Answers

Answer:

$33

Step-by-step explanation:

60 * 50% = 30

30 *10% = 3

30 + 3 = $33

Answer:

Step-by-step explanation:

$33

Step-by-step explanation:

60 * 50% = 30

30 *10% = 3

30 + 3 = $3

Which angle is complementary to COD?
АOB
AOE
BOC
AOC

Answers

Answer:Then since ∠BOD = 90°, we know that ∠BOC + ∠COD = 90°. In other words, ∠BOC and ∠COD are complementary. Thus, the answer is angle BOC

Step-by-step explanation:

Answer:

The person above is correct! The answer is C. <BOC

Step-by-step explanation:

Hope u have a great rest of your day/night! <3333

HELP ME I DONT KNOW ITS ABOUT Writing Equations of Lines!!! I WILL GIVE BRAINLIEST

Answers

Answer:

y=4/3x-7

Step-by-step explanation:

Answer:

Y=4/3x-7

Step-by-step explanation:

I need 7/5 renamed to a fraction​

Answers

Answer:

Step-by-step explanation:

the simpliest form is [tex]1\frac{2}{5}[/tex]

It already is a fraction. If you need it simplified, it would be 1 2/5.

---

hope it helps

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