Answer:
12
Step-by-step explanation:
Answer:
The area of the circle is 19.5 in²
Step-by-step explanation:
First of all to solve this problem we have to know the formula to calculate the volume of a cone
v = volume = 52 in³
r = radius
h = height = 8 in
π = 3.14
v = 1/3 * π * r² * h
we solve r
3 * v /h * π = r²
we replace the known values
3 * 52 in³ / 3.14 * 8 in = r²
156 in³ / 25.12 in = r²
6.21 in² = r²
√6.21 in² = r
2.49 in = r
now that we have the radius we need to use the area formula of a circle:
a = area
r = radius = 2.49 in
π = 3.14
a = π * r²
we replace the known values
a = 3.14 * (2.49 in)²
a = 3.14 * 6.21 in²
a = 19.5 in²
The area of the circle is 19.5 in²
Answer:
the company should make 2307 muffins before the Average cost reaches $0.25/muffin
Step-by-step explanation:
the total cost of making the muffins is
Total cost = fixed cost + variable cost = $300 + $0.12 / muffin *Q
where Q = number of muffins
the average cost is
Average cost = Total cost / number of muffins = ($300 + $0.12 *Q) / Q = $300/Q + $0.12 / muffin
then for Average cost= $0.25/muffin
$300/Q + $0.12 / muffin = $0.25/muffin
Q = $300 / ( $0.25/muffin- $0.12 / muffin ) = 2307.69 muffins ≈ 2307 muffins ( we are rounding down since we want to find the number before the cost goes below 0.25)
then the company should make 2307 muffins before the Average cost reaches $0.25/muffin
8x - 2y = 48, y =4
8x - 2(4) = 48
8x - 8 = 48
8x = 48+8
8x = 56
x = 56/8 = 7
x = 7
The function g(x) is g(x)= (3x)^2
<h3>
How to solve for g(x)?</h3>
The complete question is in the image
From the graph in the image, we have:
f(x) = x^2
The function f(x) is stretched by a factor of 3 to form g(x).
This means that:
g(x) = f(3x)
So, we have:
g(x)= (3x)^2
Hence, the function g(x) is g(x)= (3x)^2
Read more about function transformation at:
brainly.com/question/10222182
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