480,000,000 (480 million)
<span> m = 3 m = 2 m = -2 </span><span>Factor 4k^2-49 and m^3+3m^2-4m-12</span>
The statement suppose <span>that r varies directly with s and inversely with t is best represented as:
r </span>α s/t
To make it into equality, we insert a proportionality constant, k:
r = ks/t
Using the initial conditions, we solve for k.
r = ks/t
<span>r = 2 when s = 3 and t = 12
2 = k(3)/12
k = 8
Thus, when </span><span>s = 5 and t = 4,
</span>
r = 8(5)/4
r = 10 -----> OPTION C
Since angle C is not 90 degrees, it's one of the acute angles
in the right triangle.
(The side adjacent to angle C ) divided by (hypotenuse)
is the cosine of angle C .
(adjacent) / (10 inches) = cos(40 degrees)
Multiply each side by (10 inches):
Adjacent side = (10 inches) x cos(40) =
(10 inches) x 0.766 =
7.66 inches (rounded)
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❖ 3g^2 - 78g + 75 factored completely is 
First, write the expression as a difference:

Then factor the expression:

Factor the expression again:

Your final answer should be:

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