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
sergey [27]
3 years ago
6

The height of a ball kicked in the air is modeled by the equation h(t) = -2t^2 +8t +24, where h is the height of the ball in fee

t and t is the time in seconds. What is the average rate of change of the function over the intervalt t = 2 to t = 5
A. -3

B. -6

C. 3

D. 6
Mathematics
1 answer:
Setler79 [48]3 years ago
5 0

Answer:

Step-by-step explanation:

The rate of change in any function is the slope of the line between 2 points. Our points are t = 2 and t = 5. But we know that the slope formula also involves the h's for each of those t's. We need to find them first. The slope formula is

m=\frac{y_2-y_1}{x_2-x_1}, but for us it will look like this (fittted to our needs):

m=\frac{h_2-h_1}{t_2-t_1}. So we need to find those h's.

when t = 2, plug in a 2 for t and solve for h.

Therefore, h(2)=-2(2)^2+8(2)+24 and

h(2) = 32 and in coordinate form, (2, 32).

When t = 5, plug in a 5 for t and solve for h.

Therefore, h(5) =-2(5)^2+8(5)+24 and

h(5) = 14 and in coordinate form, (5, 14). Now we can plug into our slope formula:

m=\frac{14-32}{5-2}=\frac{-18}{3}=-6 , choice B.

The rate of change is -6 which, in words, means that the ball fell 6 feet every 1 second it fell.

You might be interested in
5% of what number is 300?
svlad2 [7]

Answer:

6000

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Find the circumference of a circle who's diameter is 4
BabaBlast [244]
C=pid
d=diameter
d=4
C=4pi

tada
if you want
aprox pi=3.14
C=12.56 units
4 0
3 years ago
What is the volume of a cylinder with a radius of 4cm and a height of 8cm
MissTica

Answer: V=πr^2h=π·4^2·8≈402.12386cm^2

6 0
3 years ago
Read 2 more answers
Who is correct between the two of them?
deff fn [24]

Answer:

Neither.

Step-by-step explanation:

I am not completely sure, so make sure to also let other answer this before you trust me lol. I really hope this helps!!

3 0
3 years ago
In the United States, among a representative group of 6,006 white men and 1,126 black men, ages 70-79 at diagnosis with stage IV
Ivenika [448]

Answer:

White men diagnosed with stage IV prostatic adenocarcinoma within the age bracket of 70-79 are 1.27 times more likely to survive five years after the diagnosis of stage IV prostatic adenocarcinoma than black men.

Step-by-step explanation:

The exposure is race and the outcome is survival.  

Race   Alive    Dead           T

W       2337     3669         6006

B         344        782          1126  

Relative Risk -  1.27  

White men diagnosed with stage IV prostatic adenocarcinoma within the age bracket of 70-79 are 1.27 times more likely to survive five years after the diagnosis of stage IV prostatic adenocarcinoma than black men.

7 0
2 years ago
Other questions:
  • What is the simplified expression for 3 power 3 multiplied by 3 power 3 over 3 power 4
    8·2 answers
  • What is the interquartile range of the following data set? 45,12,48,96,61,84,29,1,72,5,14
    6·2 answers
  • At a picnic there were 3 times as many adults as children and twice as many women as men. If there was a total of x men, women,
    9·1 answer
  • When rolling a fair number cube with numbers 1 through 6, what is the probability of rolling a number greater than 4?
    7·1 answer
  • Which graph shows the inverse of the graph of X^2 <br>​
    8·1 answer
  • Help me with this math quiestion its the picture below
    6·1 answer
  • Find coordinates of the image of the point A(3,9) for a dilation with the scale factor of 2/3
    14·1 answer
  • Solve for x and show all work thanks:)
    13·1 answer
  • A square and a rectangle have the same area. If the dimensions of the rectangle are 4 ft by 16 ft, how long is a side of the squ
    9·1 answer
  • Write each statement as a conditional.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!