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
damaskus [11]
3 years ago
15

A baseball is thrown with an upward velocity of 32 feet per second. The equation h=-16t^2+32t gives the height of the ball t sec

onds after it's thrown. Determine whether the function has a maximum or minimum value.
Mathematics
1 answer:
AnnZ [28]3 years ago
4 0

Answer:

The function of height has a maximum value.

Step-by-step explanation:

Maximum or Minimum:

A given function f(x).

  1. Find out f'(x) and f''(x)
  2. Then set f'(x)=0 which gives x=a.
  3. f''(a) > 0 , then at x=a , f(x) has minimum value.
  4. If f''(a)<0 , then at x=a, f(x) has maximum value.

Given that, a baseball is thrown with with an velocity of 32 feet per second.

The equation of height is

h=-16t^2+32t

Differentiating with respect to t

h'=-32 t+32

Again differentiating with respect to t

h''=-32

Next, we set h'=0

-32 t+32=0

\Rightarrow 32t=32

\Rightarrow t=1

Now h''|_{t=1}=-32

Since at t=1, h''<0.

The function of height has a maximum value.

The maximum of h is = -16.(1)²+32

                                     = -16+32

                                     =16 feet

You might be interested in
Points M and N are both on ZB with M between Z and N. ZM = 10
maxonik [38]

Answer:

Your answer is 40%

Step-by-step explanation:

It is 20 units between Z and B.

We add 2 more points, and one of them is at the the halfway point of the entire line.(M)

One of them is only 2 units away from B.(N)

That means our line is halved, so from 20/20 possible places a point could go and land in the right area is now 10/20.

Minus 2 from that; to take into count of the N to B, and you have 8/20

8/20 is just 40%

5 0
3 years ago
Simplify the expression ​
melisa1 [442]

Answer:

-243v^5

Step-by-step explanation:

(-3v)^5

= (-3)^5 * v^5

= (-3 * -3 * -3 *-3 * -3)* v^5

= -243v^5

4 0
3 years ago
Rewrite the expression in the form... (PLZ HELP QUICK I'LL GIVE BRAINLIEST)
ivanzaharov [21]

Answer: 3*z^\frac{2}{9}

Step-by-step explanation:

The exponent 1/3 is the same thing as cube rooting the expression.

\sqrt[3]{27\sqrt[3]{z^2} }

3*z^{2/9}

Hope it helps <3

4 0
3 years ago
Question 3
Veseljchak [2.6K]

Answer:

A

Step-by-step explanation:

Big Brain

7 0
3 years ago
Write a two column proof 2x+6 and 96 prove: x=45
viktelen [127]
2x+6=96
2(45)+6
90+6=96
96=96
hope this helps u out!
6 0
3 years ago
Other questions:
  • Olivia has $250.00 when she opens her cupcake shop inthe morning. she sells each cupcake for $3.50.
    13·2 answers
  • Since YouTube first became available to the public in mid-2005, the rate at which video has been uploaded to the site can be app
    13·1 answer
  • Steven has 5/6lb of jelly beans and 1/3lbs of gummy bears. How many more pounds of jelly beans than gummy bears does he have ?
    7·2 answers
  • What is the area of a triangle with a base of 7 cm and a height of 4cm
    8·1 answer
  • Is -12 to the power of -3 a positive or negative
    7·2 answers
  • Help me pleaseeeeeeeee
    11·1 answer
  • Yo i need a high schoolers help on this math!
    6·1 answer
  • Whitney can run 50 feet in 10 seconds. At this rate, how many feet can Whitney run in 2 minutes?
    12·2 answers
  • Does this represent a function?
    5·1 answer
  • I NEED AN ANSWER ASAP\
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!