1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
nexus9112 [7]
3 years ago
12

Tom throws a ball into the air. The ball travels on a parabolic path represented by the equation , where represents the height o

f the ball above the ground and represents the time in seconds. The maximum value achieved by the function is represented by the vertex. Use factoring to answer the following: How many seconds does it take the ball to reach its highest point
Mathematics
1 answer:
tigry1 [53]3 years ago
7 0

Answer:

2.5 second

Step-by-step explanation:

The equation is missing in the question.

The equation is,  h=-8t^2+40t  , where 'h' is the height and 't' is time measured in second.

Now we know to reach its maximum height, h in t seconds, the derivative of h with respect to time t is given by :

\frac{dh}{dt} =0

Now the differentiating the equation with respect to time t, we get

\frac{dh}{dt}=\frac{d}{dt}(-8t^2+40t)

\frac{dh}{dt}=-16t+40

For maximum height,  \frac{dh}{dt} =0

So, -16t+40=0

 \Rightarrow 16t=40

\Rightarrow t=\frac{40}{16}

\Rightarrrow t = 2.5

Therefore, the ball takes 2.5 seconds time to reach the maximum height.

You might be interested in
Help I need it I’m almost done
sesenic [268]

Answer:

E

Step-by-step explanation:

3 0
3 years ago
Please help I don’t understand
aksik [14]
Is this a multiple choice question? If so what are the options?
My guess is 21
7 0
3 years ago
Could someone help me with this? Please No guessing! Explain how you got the answer! And make sure your answer is correct! :) th
stealth61 [152]

C

The numbers on the left represent 10 times that number

The numbers on the right are added to the end of the number on the left so

3I1=31 and 4I8=48 and 3I 1 1 2= 31 31 32

4 0
3 years ago
Simplify these calculations, leaving your answer in index form.
alexira [117]
Dividing x5^5 / x5^5 is 1
7 0
3 years ago
In January, the depth of a lake was 808 feet. In August, the depth of the lake was 606 feet. What is the percentage decrease dec
Akimi4 [234]

Answer:

25

Step-by-step explanation:

808-606/808

7 0
3 years ago
Read 2 more answers
Other questions:
  • What is 5% of 400 please add the formula for finding this if you can
    14·1 answer
  • Create an original rational function that has at least one asymptote (vertical, horizontal, and/or slant) and possibly a removab
    6·1 answer
  • . The value of a lottery prize doubles
    11·1 answer
  • The graph of f(x) = log x + 3
    12·2 answers
  • What is the estimated product of two numbers that are not multiples of ten is 2800?
    5·1 answer
  • 6(3x-5) - 9x if x = 4
    8·2 answers
  • If l is parallel to m find the value of x
    15·1 answer
  • Numbers get 10x bigger or smaller when you move one place to the right on the decimal scale. true or false
    6·1 answer
  • How many faces does this figure have?<br> O two<br> O three<br> O four<br> O five
    14·2 answers
  • You get a $60,000 loan for a new dump truck. With the truck, you can generate $500 more business each week at 80% margin. Your i
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!