Given the function f(x) = 2x, find the value of f−1(32).
1 answer:
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Answer:
D
Step-by-step explanation:
We require to calculate the volume (V) of the cone and sphere.
The volume of a cone is calculated as
V = πr²h ( r is the radius and h the height )
Here diameter = 5, hence r = 5 ÷ 2 = 2.5, thus
V = π × 2.5² × 8 ≈ 52.36 cm³
The volume of a sphere is calculated as
V = πr³ ( r is the radius )
Here diameter = 5, hence r = 5 ÷ 2 = 2.5, thus
V= π × 2.5³ ≈ 65.45 cm³
Since volume of the sphere is greater than the volume of the cone
Thus when the ice cream melts it will overflow → D
Answer: y = -5x + 6
Step-by-step explanation:
First, we need to find the slope, which would be m in the equation. To find m, we can use the formula called "rise over run". Here's the formula:
So, to use this formula, you pick two points from the line that you're given and solve for m.
Let's use the points (1,1) and (0,6). x1 would be 1, x2 would be 0, y1 would be 1, y2 would be 6
So, the slope is -5
Then, we need to find the y intercept, which would be b in the formula.
We can see that the point where the line meets the y axis is at (0.6), so the y intercept would be 6.
Now let's put everything together:
y = mx+b
y = -5x + 6