Express as a single power of 2

Mathematics

1 answer:

den301095 [7]3 years ago

6 0

When you multiply powers, they add, and when you divide them they subtract.
So I would first add the 2^a + 2^b +2^c to get 2^(a+b+c)
Then, divide by 2^(a+b). Because when you divide powers they subtract, you will be taking away the (a+b) from the (a+b+c) and you will be left with c on its own.
The answer is 2^c

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Find the volume of the composite figure. Explain your thought, explain how your arrived at your answer. SHOW YOUR WORK FOR FULL

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h = √((15 in)² - (10 in)²) = √115 in

The volume of the conical part of the figure is then
V = (1/3)Bh = (1/3)(π×(10 in)²×(√115 in) = (100π√115)/3 in³ ≈ 1122.994 in³

The volume of the hemispherical part of the figure is given by
V = (2/3)π×r³ = (2/3)π×(10 in)³ = 2000π/3 in³ ≈ 2094.395 in³

Then the total volume of the figure is
V = (volume of conical part) + (volume of hemispherical part)
V = (100π√115)/3 in³ + 2000π/3 in³
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3 years ago

Choose the graph below that represents the following system of inequalities: y ≥ −3x + 1 y ≤ 1 over 2x + 3

shtirl [24]

The complete question in the attached figures N 1 and N 2

we have that

the following system of inequalities:
y ≥ −3x + 1
y ≤ (1/2)x + 3

using a graph tool
see the attached figure N 3

the answer is the option
B)Graph of two lines that intersect at one point. Both lines are solid. One line passes through points negative 2, 2 and 0, 3 and is shaded below the line. The other line passes through points 0, 1 and 1, negative 2 and is shaded above the line.