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
victus00 [196]
3 years ago
15

A ball is thrown into the air from a height of 4 feet at time t = 0. The function that models this situation is h(t) = -16t2 + 6

3t + 4, where t is measured in seconds and h is the height in feet. a) What is the height of the ball after 3 seconds? b) What is the maximum height of the ball? Round to the nearest foot. c) When will the ball hit the ground? d) What domain makes sense for the function?

Mathematics
2 answers:
nirvana33 [79]3 years ago
8 0

Answer:

c

Step-by-step explanation:

lisov135 [29]3 years ago
6 0

Answer:

  a) 49 ft

  b) 66 ft

  c) 4 seconds

  d) [0, 4] seconds

Step-by-step explanation:

a) Evaluate the function for t=3:

  h(3) = -16·3² +63·3 +4 = (-16·3 +63)·3 +4 = 15·3 +4

  h(3) = 49

The height of the ball is 49 feet after 3 seconds.

__

b) The maximum height of the ball will be found where t=-b/(2a) = -63/-32 = 1.96875.

  h(1.96875) = (-16·(63/32) +63)·(63/32) +4 = 63²/64 +4 = 66.015625

The maximum height of the ball is approximately 66 feet.

__

c) The ball will hit the ground when its height is zero.

  -16t² +63t +4 = 0

Using the quadratic formula, we find the solution to be ...

   t = (-63 - √(63² -4(-16)(4)))/(2·(-16)) = (-63 -√4225)/-32 = -128/-32 = 4

The ball will hit the ground after 4 seconds.

__

d) The function is only useful for the time period between when the ball is thrown and when it lands, t = 0 to t = 4 seconds.

The domain of t in the interval 0 to 4 seconds makes sense for this function.

You might be interested in
7x - 2(3x - 5) = 26 ​
Reptile [31]

Answer:

x=16

Step-by-step explanation:

7x−2(3x−5)=26

Use the distributive property to multiply −2 by 3x−5.

7x−6x+10=26

Combine 7x and −6x to get x.

x+10=26

Subtract 10 from both sides.

x=26−10

Subtract 10 from 26 to get 16.

x=16

Graph if needed:

5 0
3 years ago
Read 2 more answers
Help I need the answer as soon as possible
pav-90 [236]

Answer:

D.

Step-by-step explanation:

First, you multiply 18 1/4 with 10 1/2 and you get 191 5/8. Then you multiply 191 5/8 with 12 3/4 and you get D. 2443 7/32

3 0
3 years ago
On a spinner, there are 10 equal spots, numbered 1-10. What is the probability of spinning a 5 and then spinning a 5 again?
inessss [21]

Answer:

1 out of ten

Step-by-step explanation:

so if there are ten sides and all are numbered 1-10 then 5 is only one tenth.

8 0
2 years ago
Peter invests $1000 at 4% compounded annually for 10 years and Jose invests $900 compounded annually at 5% for 11 years. Who end
Nesterboy [21]

Answer:

Jose ends up with more money with $59 more than Peter.

Step-by-step explanation:

To determine the amount they will have, you have to use the formula to calculate the future value:

FV=PV(1+r)^n

FV= future value

PV= present value

r= rate of interest

n= number of periods of time

-Peter:

FV=1,000*(1+0.04)^10

FV=1,000*1.48

FV=1,480

-Jose:

FV=900*(1+0.05)^11

FV=900*1.71

FV=1,539

Difference: $1,539-$1,480=$59

According to this, the answer is that Jose ends up with more money with $59 more than Peter.

6 0
3 years ago
Equivalent factored form for 10x^2+15x-9=2x^2+x-14
yanalaym [24]
Factored form - x= -1/2, -5/4
3 0
3 years ago
Other questions:
  • What’s the simplest terms for this
    12·2 answers
  • 50% off
    8·2 answers
  • A tennis court is surrounded by a fence so that the distance from each boundary of the tennis court to the fence is the same. If
    7·1 answer
  • Use graph paper and a straightedge to draw the figure. the set of points (4,3), (7,3), (4,0), and (7,0) identifies the vertices
    11·2 answers
  • If a = 4 and b = 5, what is the value of the following expression? 6a + 3b - 8
    14·1 answer
  • Someone please help me :((
    7·1 answer
  • There is a line that includes the point (5, 6) and has a slope of 0. What is its equation in
    14·1 answer
  • 500% of what number is 3,700?
    7·1 answer
  • Eight times a number plus five times another number is -13. The first number equals 1 minus the second number. What are the numb
    15·1 answer
  • Adiós a todos<br>Me voy de brainly.com<br>Porque no entiendo nada ;-;<br>Me voy a brainly.lat c:​
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!