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N76 [4]
3 years ago
13

-5 1/2+6 3/4+(-4 1/4)=

Mathematics
2 answers:
kobusy [5.1K]3 years ago
7 0

Answer:

-3

Step-by-step explanation:

that the answer

calculate them

Leto [7]3 years ago
3 0

Answer:

-3

Step-by-step explanation:

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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
PLEASE ANSWER THIS QUESTION TOO !! FOR 30 POINTS AND BRAINLIEST!!
s344n2d4d5 [400]

Answer:

3000 books

Step-by-step explanation:

We know the author receives a one time fee of $2500. On top of that, the author will receive $1.50 per book sold. This is a constant rate and is linear because of this. We can use y=mx+b. M is the slope or rate of change. M here is $1.50. B is the starting value which is $2500 here.

We write y=1.5x+2500.

This equation will give the amount of money the author earns for x number of books sold. If y=7000 for the author earning 7000. We will use inverse operations to isolate and find x.

7000=1.5x+2500

7000-2500=1.5x+2500-2500

4500=1.5x

4500/1.5=x

3000=x


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You have to simplify both sides of the equation, then isolating the variable.
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