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s344n2d4d5 [400]
2 years ago
10

What is 15% of 40? First answer gets brainliest

Mathematics
1 answer:
katovenus [111]2 years ago
8 0
6 is the write answer!
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A body moves s metres in a time t seconds so that s = t3 – 3t2 + 8. Find:
Lady bird [3.3K]

Using derivatives, it is found that:

i) v(t) = 3t^2 - 6t

ii) 9 m/s.

iii) a(t) = 6t - 6

iv) 6 m/s².

v) 1 second.

<h3>What is the role of derivatives in the relation between acceleration, velocity and position?</h3>
  • The velocity is the derivative of the position.
  • The acceleration is the derivative of the velocity.

In this problem, the position is:

s(t) = t^3 - 3t^2 + 8

item i:

Velocity is the <u>derivative of the position</u>, hence:

v(t) = 3t^2 - 6t

Item ii:

v(3) = 3(3)^2 - 6(3) = 27 - 18 = 9

The speed is of 9 m/s.

Item iii:

Derivative of the velocity, hence:

a(t) = 6t - 6

Item iv:

a(2) = 6(2) - 6 = 6

The acceleration is of 6 m/s².

Item v:

t for which a(t) = 0, hence:

6t - 6 = 0

6t = 6

t = \frac{6}{6}

t = 1

Hence 1 second.

You can learn more about derivatives at brainly.com/question/14800626

7 0
2 years ago
What is the slope of the line that passes through the points (3, 8) and (12, 1)? A. -9/7 B. -7/9 C. 7/9 D. 9/7
nekit [7.7K]
The answer to this problem is B.
4 0
3 years ago
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Use the given graph to determine the limit, if it exists.
Aleksandr-060686 [28]
As x approaches 3 from the right, the limit is 3.  There is a closed hole up there AT x=3 y=7, but we don't care about what happens AT x=3, only what happens as x APPROACHES 3. 
6 0
3 years ago
A store is having a 25% off sale on all shirts. Select all of the possible ways to calculate the sale price for a shirt that nor
maw [93]

Answer:

A,B, and C

Step-by-step explanation:

25%of 24 is 6, 24-6=18(new price)

A.24-(0.25×24)=24-6=18

B.(0.75)×24=18

C.(0.25×24)×3= 6×3=18

6 0
2 years ago
17 + (9 + 10) = (17 + 9) + 10<br> A. True<br> O B. False
JulijaS [17]

Answer: Did you mean to rewrite that

Step-by-step explanation:

3 0
2 years ago
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