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sindy35111
12.11.2020 •
Mathematics
The volume of a cube can be written as a function of its edge length, V(x) = x^3. Which is a correct interpretation of V(2x)?
(A) The volume of a cube doubles when its edge length doubles.
B) The volume of a cube increases by a factor of 4 when its edge length doubles.
©
The volume of a cube increases by a factor of 6 when its edge length doubles.
D The volume of a cube increases by a factor of 8 when its edge length doubles.
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Ответ:
D The volume of a cube increases by a factor of 8 when its edge length doubles
Step-by-step explanation:
Volume of a cube is represented by the function
where
represents the edge length of the cube
Now when
i.e., when the edge length is doubled we have
It can be seen that the volume of the cube increased by 8 times when edge length doubles.
Ответ:
34.4 miles
Step-by-step explanation:
Mathematically;
z-score = x-mean/SD
from the question, we have mean as 29 and standard deviation as 3.6 with z-score as 1.5
So we need to find the z-score here
1.5 = x-29/3.6
3.6 * 1.5 = x-29
5.4 = x-29
x = 29 + 5.4
x = 34.4