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vredina [299]
3 years ago
10

Write each ratio. Stars to squares

Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
7 0
We need more information
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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
3 years ago
Since Lia was 10, her mother said that she can help out with the chores by washing her age in dishes, everynight after dinner. H
Marrrta [24]
Lia does 70 dishes in 1 week because there are 7 day in a week so you multiply 7 x 10 which equals 70
7 0
3 years ago
Read 2 more answers
The theoretical probability of landing on blue on a single spin of a spinner with 1 purple, 1 blue , 1 red , and 1 orange sectio
erik [133]

Hey there!

\large\boxed{25\%}

Assuming that all the sections are the same size, there are four sections of equal size.

Blue would be one out of those four sections, so the probability is 1/4. In decimal form this is .25, and as a percent this is 25%.

Hope this helps!

5 0
3 years ago
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I need help on solving this math problem.​
son4ous [18]

Answer:

f(1)=-3

f(-4)=-11

f(6)=0

Step-by-step explanation:

Use the correct formula depending on what (x) equals.

When (x=1) you use the second formula because 1 is greater than -2 but less than 4

When (x=-4) you use the first formula because -4 is less than -2

When (x=6) you use the third formula because 6 is greater than 4

5 0
3 years ago
If <a and <b are vertical and <a =115°,detemine <b what is it??!
Oliga [24]

The vertical angles have equal measures.

Therefore, if ∠ a and ∠b are vertical angles, then m∠a = m∠b.

Answer: m∠b = 115°

3 0
3 years ago
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