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lesya [120]
3 years ago
10

Jim earns a regular hourly rate of $5 and a premium hourly rate of $6. He worked 45 hours last week. What is his gross pay?

Mathematics
1 answer:
Sindrei [870]3 years ago
4 0
5x+6x=y

x=45

5(45)+6(45)=y
225+270=y
496=y
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What is the product?<br> (-2x- 9y2 )(-4x-3)
lara [203]

Answer:

36xy^2 + 8x^2 + 27y^2 + 6x

Step-by-step explanation:

Use the FOIL method of multiplying binomials.

First term in each binomial: -2x * -4x = 8x^2

Outside terms: -2x * -3 = 6x

Inside terms: -9y^2 * -4x = 36xy^2

Last term in each binomial: -9y^2 * -3 = 27y^2

Now, rearrange the terms correctly. 36xy^2 + 8x^2 + 27y^2 + 6x

This is our final answer, since it can not be simplified any more.

4 0
3 years ago
Determine the values of \theta if sec\;\theta=-\frac{2}{\sqrt{3}}.
Masja [62]

Answer:

See below.

Step-by-step explanation:

So, we have:

\sec(\theta)=-2/\sqrt{3}

Recall that secant is simply the reciprocal of cosine. So we can:

\cos(\theta)=(\sec(\theta))^{-1}=(-2/\sqrt{3})^{-1}\\\cos(\theta)=-\sqrt{3}/2

Now, recall the unit circle. Since cosine is negative, it must be in Quadrants II and/or III. The numerator is the square root of 3. The denominator is 2. The whole thing is negative. Therefore, this means that 150 or 5π/6 is a candidate. Therefore, due to reference angles, 180+30=210 or 7π/6 is also a candidate.

Therefore, the possible values for theta is

5π/6 +2nπ

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7π/6 + 2nπ

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Step-by-step explanation:

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