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maria [59]
3 years ago
7

(1/2)^4 Simplify A)1/16 B)1/63 C)1/8 D)1/4

Mathematics
2 answers:
sp2606 [1]3 years ago
3 0

(1/2)^4

1/2 * 1/2 * 1/2 * 1/2

1/4 * 1/4

1/16

Choice A

Marina CMI [18]3 years ago
3 0

=(1/2)(1/2)(1/2)(1/2)

=1/16

so the ans is A

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erma4kov [3.2K]

Answer:

Step-by-step explanation:

The formula for the dot product of vectors is

u·v = |u||v|cosθ

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|u|=\sqrt{14^2+9^2} which is \sqrt{277}

|v|=\sqrt{3^2+6^2} which is \sqrt{45}

I am assuming by looking at the above that you can determine where the numbers under the square root signs came from. It's pretty apparent.

We also need the angle, which of course has its own formula.

cos\theta=\frac{uv}{|u||v|} where uv has ITS own formula:

uv = (14 * 3) + (9 * 6) which is taking the numbers in the i positions in the first set of parenthesis and adding their product to the product of the numbers in the j positions.

uv = 96.

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cos^{-1}\theta=\frac{96}{111.64676} which returns an angle measure of 30.7. Plugging that all into the dot product formula:

u*v=\sqrt{277}*\sqrt{45}cos(30.7) gives you a dot product of 96

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