2 years ago

What is the slope of the line below? Give an exact number.

Mathematics

1 answer:

vovikov84 [41]2 years ago

7 0

The slope is 2/3. Rise over run

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A particle moves along the x-axis so that at any time t, t ≥ 0, its acceleration is a(t) = -4sin(2t). If the velocity of the par

sasho [114]

The velocity of the particle is given by

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

Since $a(t)=-4\sin2t$ and $v(0)=7$ , we get

$\displaystyle\int_0^ta(u)\,\mathrm du=\int_0^t-4\sin2u\,\mathrm du=2\cos2u\bigg|_0^t=2\cos2t-2$

$\implies v(t)=2\cos2t+5$

Similarly, the position function is obtained via

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

We know $v(t)$ and we're told that $x(0)=0$ , so

$\displaystyle\int_0^tv(u)\,\mathrm du=\int_0^t(2\cos2u+5)\,\mathrm du=\sin2u+5u\bigg|_0^t=\sin2t+5t$

$\implies x(t)=\sin2t+5t$

making the answer A.

3 0

3 years ago

Which point keeps the set of ordered pairs a function {(1,-2).(-2,4), (5,0)}

tester [92]

B (2,1) is the answer

4 0

2 years ago

Please help!<br><br> (ignore the answer I chose)

Andrei [34K]

The numerator factors as (t-8)(t+4), so the whole thing is (t-8)(t+4)/(t-8). Now we can cancel the t-8 AS LONG as t isn't equal to 8, otherwise, we are canceling a zero from both numerator and denominator which is invalid. What is left is t+4.

So your choice was right.

5 0

3 years ago

G(a) = a + 2. Find f(-7).

anastassius [24]

Answer:

Step-by-step explanation:

g(-7) = -7 + 2 = -5

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3 years ago

Jernel has to figure out the area of her square garage. She knows that one side of the garage is equal to the length of her rabb

Rudiy27

Which is the pen and which is the rabbit dimention? i promise i will answer if you clarify on this