Answer:
About 14.14
Step-by-step explanation:
V = 4/3pi x r^3
To find the radius, divide the diameter by 2 (1.5)
Substitute 1.5 in place of r and solve the equation.
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.
The correct option is A.
<h3>What is a line?</h3>
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.
The slope of the parallel line is always equal. Given the slope of the green line is -3/7, also, it is parallel to the red line. Therefore, the slope of the red line is -3/7.
Hence, the correct option is A.
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Answer:
- 21
Step-by-step explanation:
The minimum value occurs at the vertex of the function
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square
Given
f(x) = x² - 6x - 12
add/ subtract ( half the coefficient of the x- term)² to x² - 6x
f(x) = x² + 2(- 3)x + 9 - 9 - 12
= (x - 3)² - 21
with vertex = (3, - 21 )
The minimum is the value of k, that is minimum value = - 21
Let dimes = d and quarters =q
D + q = 50
D= 50-q
0.10d + 0.25Q = 7.70
Replace d with 50-q:
0.10(50-q) + 0.25q = 7.70
Simplify:
5 -0.10q + 0.25q = 7.70
5 + 0.15q = 7.70
Subtract 5 from both sides:
0.15q = 2.70
Divide both sides by 0.15:
Q = 2.70 / 0.15
Q = 18
D = 50-18 = 32
There are 32 dimes and 18 quarters
