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2 years ago

Which situation is most likely to have a constant rate of change?

Mathematics

1 answer:

Sauron [17]2 years ago

8 0

Answer:

Step-by-step explanation:

D because the number of runs is consistent with the number of innings.

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A particle, initially at rest, moves along the x-axis such that its acceleration at time t > 0 is given by a(t) = 6cos(t). At

Rom4ik [11]

a. By the fundamental theorem of calculus, the velocity function is

$v(t)=v(0)+\displaystyle\int_0^ta(u)\,\mathrm du$

The particle starts at rest, so $v(0)=0$ , and we have

$v(t)=\displaystyle\int_0^t6\cos u\,\mathrm du=6\sin u\bigg|_0^t=6\sin t$

Then the position function is

$x(t)=\displaystyle x(0)+\int_0^tv(u)\,\mathrm du$

with $x(0)=6$ , so

$x(t)=6+\displaystyle\int_0^t6\sin u\,\mathrm du=6-6\cos u\bigg|_0^t=12-6\cos t$

b. The particle is at rest whenever $v(t)=0$ ; this happens for

$6\sin t=0\implies \sin t=0\implies t=n\pi$

where $n$ is any integer.

3 0

2 years ago

Jane weighed 73 pounds and 3 ounces last year. She gained 13 ounces this month. How many pounds does she weigh

Harman [31]

74 pounds because there are 16 ounces on a pound and 3 plus 13 is 16.

6 0

2 years ago

Select the situation that can be represented by 20x

ipn [44]

You work x hours. you get 20 dollars per hour. this is a random situation, because u didn't give us choices.

3 0

2 years ago

NEED HELP ASAP!!!!! Can someone help me???

bezimeni [28]

Answer:

F = 6x

O = -3x

I = 10x

L = -5

Step-by-step explanation:

FOIL follows the formula:

(a + b)(c + d) = ac + ad + bc+ bd

4 0

2 years ago

Read 2 more answers

Find the slope of the line in the graph.

hram777 [196]

Answer: m = -2

Step-by-step explanation: To get from one point to the next along this line,

we must first go down 2 units so we say that our rise is -2.

From there we move 1 unit to the left so our run is 1.

So our slope or rise over run is -2/1 or -2.

6 0

2 years ago