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3 years ago

CAN YOU GUYS PLEASE HELP ME? THANK YOU!

Mathematics

1 answer:

Novay_Z [31]3 years ago

6 0

Answer:

step by step explanitation

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Sally scored 750 points on a video game.

Mila [183]

Answer:

E. 750 rounds to 800

Step-by-step explanation: first thing is to look at the tens value, numbers 1-4 get rounded down and numbers 5-9 get rounded up.

3 0

4 years ago

Read 2 more answers

The perimeter of a rectangular house is 122fr the width is 5ft less than the length find the length and width

Step2247 [10]

Hello,

Let's w the width , l the length, p the perimeter.

w=l-5
p=2(l+w)=2(l+l-5)=4l-10

4l-10=122
==>4l=122+10
==>4l=132
==>l=132/4
==>l=33
So w=33-5=28

Proof:
2*(33+28)=2*61=122

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3 years ago

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Your dinner bill was $37.90 with 8% tax and 19% tip.

Tpy6a [65]

Tip would be the best answer choice

8 0

3 years ago

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The harmonic motion of a particle is given by f(t) = 2 cos(3t) + 3 sin(2t), 0 ≤ t ≤ 8. (a) When is the position function decreas

iren [92.7K]

For the last part, you have to find where $f'(t)$ attains its maximum over $0\le t\le8$ . We have

$f'(t)=-6\sin3t+6\cos2t$

so that

$f''(t)=-18\cos3t-12\sin2t$

with critical points at $t$ such that

$-18\cos3t-12\sin2t=0$

$3\cos3t+2\sin2t=0$

$3(\cos^3t-3\cos t\sin^2t)+4\sin t\cos t=0$

$\cos t(3\cos^2t-9\sin^2t+4\sin t)=0$

$\cos t(12\sin^2t-4\sin t-3)=0$

So either

$\cos t=0\implies t=\dfrac{(2n+1)\pi}2$

$12\sin^2t-4\sin t-3=0\implies\sin t=\dfrac{1\pm\sqrt{10}}6\implies t=\sin^{-1}\dfrac{1\pm\sqrt{10}}6+2n\pi$

where $n$ is any integer. We get 8 solutions over the given interval with $n=0,1,2$ from the first set of solutions, $n=0,1$ from the set of solutions where $\sin t=\dfrac{1+\sqrt{10}}6$ , and $n=1$ from the set of solutions where $\sin t=\dfrac{1-\sqrt{10}}6$ . They are approximately