Answer: The correct answer is B. 523.3...cm^3
Step-by-step explanation:
4/3*pi*r^3 is the formula
first, divide the diameter by 2 to get the radius, now, you will begin solving.
4/3*5^3*3.14
5*5*5=125
4/3*125*3.14
125*3.14=392.5
4/3*392.5
523.3...
F(x) = sin(x) + icos(x)
|f(x)| = sqrt(sin^2(x) + cos^2(x)) = sqrt(1) = 1
Therefore, |f(x)| = 1
| 8 | | 1 | | 6 |
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| 3 | | 5 | | 7 |
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| 4 | | 9 | | 2 |
Answer:
Option (5)
Step-by-step explanation:
Graph of a function f(x) = x represents a straight straight line (y = x), passing through the origin (0, 0).
As shown in the graph,
Let the equation of the given line is,
y = mx + b
Here, m = slope of the line
b = y-intercept
Since, the given line passes through two points (0, -1) and (-1, 2)
Slope of the line 'm' = 
= -3
y-intercept 'b' = -1
Therefore, equation of the line will be,
y = -3x - 1
And the function is,
g(x) = -3x - 1
Here, (-3) represents the reflection of parent function over the x axis, vertical stretch of the parent function by 3 units.
Followed by the shifting of parent function by 1 unit down.
Therefore, Option (5) is the answer.