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ss7ja [257]
3 years ago
6

Q2) If z is directly proportional to x and z = 12 when x = 3, find the value of x when z = 18.

Mathematics
2 answers:
LenKa [72]3 years ago
4 0

Answer:

4.5

Step-by-step explanation:

→ Set up the direct proportion equation

z = kx

→ Substitute in the values

12 = 3k

→ Divide both sides by 3 to isolate k

4 = k

→ Substitute the value of k back into the original direct proportion equation

z = 4x

→ Substitute the value of z in

18 = 4x

→ Divide both sides by 4 to isolate x

4.5 = x

stepladder [879]3 years ago
4 0

Answer:

4.5

Step-by-step explanation:

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Jerry ordered 4 items online. He is charged $2.91 per pound for shipping. The items weighed 4.3 pounds, 2 pounds, 3.8 pounds, an
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Answer:

46.56 pounds

Step-by-step explanation:

Given data

4.3 pounds

2 pounds

3.8 pounds, and

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Step-by-step explanation:

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3 years ago
If the graph of f(x) = x^2, how will the graph be affected if it is changed to f(x) = 3r^2?
Eva8 [605]

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3 0
3 years ago
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Need help on this calculus
N76 [4]
\displaystyle\int\sin^3t\cos^3t\,\mathrm dt

One thing you could do is to expand either a factor of \sin^2t or \cos^2t, then expand the integrand. I'll do the first.

You have

\sin^2t=1-\cos^2t

which means the integral is equivalent to

\displaystyle\int\sin t(1-\cos^2t)\cos^3t\,\mathrm dt

Substitute u=\cos t, so that \mathrm du=-\sin t\,\mathrm dt. This makes it so that the integral above can be rewritten in terms of u as

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Now just use the power rule:

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Back-substitute to get the antiderivative back in terms of t:

\dfrac16\cos^6t-\dfrac14\cos^4t+C
4 0
3 years ago
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