Answer:3
Step-by-step explanation:
A. 2^4(4n) = 2^48
2^16n = 2^48
16n = 48
n = 3
1.
Make the fractions improper.
72/12 x 19/6 = 19.
2.
Area = L x W
L = 3 1/6 x
W = 6 7/12
= 19.
#1 = 19 feet
#2 = <span>9 3/4 feet</span>
The line does not represent a direct variation because it does not go through the origin.
Answer:
66.4 in^2
Step-by-step explanation:
Surface area is defined as the area around the surface of a 3-dimensional solid. The shape we are given here is a triangular prism with a square base. This means it contains one square and 4 triangles on the surface. To find the surface area, we just need to find the areas of all 5 surface shapes and add them up. We have been given that the square has a side length of 4 inches, meaning the area is 4^2 or 16. The area of a triangle is (1/2)base*height. The base length is 4 inches and the height is 6.3, and (1/2)*4*6.3 is 12.6. Note that, since there are four triangles, we have to multiply this value by 4 (12.6*4 = 50.4). Now we have the area of the square and the area of all the triangles put together, so we can just add them up:
16 + 50.4 = 66.4
The denominator of a fraction cannot be zero.Therefore in h(x) = f(x)/g(x), g(x) cannot equal zero, x + 6 cannot equal zero, x cannot equal -6. The domain of h(x) is ℜ - {-6}.
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