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
likoan [24]
3 years ago
9

The function​ s(t) represents the position of an object at time t moving along a line. Suppose s(2)=150 and s(5)=237. Find the a

verage velocity of the object over the interval of time [1, 3].
Mathematics
1 answer:
trapecia [35]3 years ago
5 0

Answer:

29 is answer.

Step-by-step explanation:

Given that the function​ s(t) represents the position of an object at time t moving along a line. Suppose s(2)=150 and s(5)=237.

To find average velocity of the object over the interval of time [1,3]

We know that derivative of s is velocity and antiderivative of velocity is position vector .

Since moving along a line equation of s is

use two point formula

\frac{s-150}{237-150} =\frac{t-2}{5-2} \\s=29t-58+150\\s=29t+92 gives the position at time t.

Average velocity in interval (1,3)

=\frac{1}{3-1} (s(3)-s(1))\\=\frac{1}{2} [87+58-29-58]\\=29

You might be interested in
Given the two sets:
svetoff [14.1K]

Answer:

Step-by-step explanation:

B and c

8 0
4 years ago
I have 4 factors three of my factors are 1, 2 and 10 what is my forth factor
Nuetrik [128]

Answer:

4

Step-by-step explanation:

3 0
3 years ago
CAN SOMEONE PLEASE HELP ME ASAP PLEASEEEE!!!​
oee [108]
Could be wrong but since given the smaller quadrilateral is similar to to larger one, by definition the ratio of there corresponding sides would be congruent. Length of 5 of ec is to 10 of bc as the length of fe (6) is to the length of ab would be 12
8 0
3 years ago
Enter the correct answer in the box.
Mekhanik [1.2K]

The equation in the vertex form of g(x) is:

g(x) = (x + 1)^2 - 38

<h3>How to get the equation of function g?</h3>

We know that g(x) is a translation of 2 units below and 3 units to the left of f(x).

So first, let's rewrite f(x) to its vertex form:

f(x) = x^2 - 4x - 32

The vertex is at:

x = -(-4)/2*1 = 2

The y-value of the vertex is:

f(2) = 2^2 - 4*2 - 32 = -36

Then the vertex form of f(x) is:

f(x) = (x - 2)^2 - 36

If we move this vertex 2 units below, and 3 units to the left, then we have:

g(x) = f(x +3) - 2\\\\g(x) = (x - 2 + 3)^2 - 36 - 2\\\\g(x) = (x + 1)^2 - 38

That is the equation for g(x) in vertex form.

If you want to learn more about quadratic equations:

brainly.com/question/1214333

#SPJ1

6 0
2 years ago
What is the solution to the equation 41/5 =15-(2x+3)
likoan [24]
\frac{41}{5}=15-(2x+3) \\\\ \frac{41}{5}=15-2x-3 \\\\ \frac{41}{5}=12^{(5}-2x^{(5} \\\\ 41=60-10x \\\\ 41-60=-10x \\\\ -19=-10x \\\\ 19=10x \\\\ \boxed{x=\frac{19}{10}}
4 0
3 years ago
Read 2 more answers
Other questions:
  • Please help!!! 10 points!!!​
    15·1 answer
  • The coordinates A(2, 1), B(7, 1), C(2, 4) form what type of polygon?
    5·2 answers
  • 78(−32−48x)+36=23(−33x−18)−10x <br><br> Solve for x.
    9·2 answers
  • Train A travels 50 miles/hour. Train A has been traveling for 25 minutes when train B set out in the same direction traveling 60
    7·1 answer
  • What is one thing that statistics can help you do?​
    8·1 answer
  • 560 mile trip. spent 2 hours more on interstate highways than on local highways. they were driving 45 mph on local and 55 on int
    6·1 answer
  • Find the range of the data set 145,612,120,349,515,212,590
    12·2 answers
  • Howard's pawn shop bought an antique clock at the wholesale price of $725. Howard marked up the price of the clock
    6·1 answer
  • 6 times the sum of y and 11
    12·1 answer
  • Help ill reward brainest
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!