Answer: The average velocity of the object over the time interval [3,6] is 20.
Step-by-step explanation:
Since we have given that
s(3) = 156
s(6) = 216
We need to find the average velocity over the time interval [3,6].
So, average velocity becomes

Hence, the average velocity of the object over the time interval [3,6] is 20.
Answer: ![\sqrt[3]{6n}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B6n%7D)
Step-by-step explanation:
We have the following expression:

Which can be written as follows:

Multiplying the exponents:

Writing in radical form we finally have the result:
I sorry I don’t know this one
Since rectangle ABCD is similar to HGFE, the ratios of the lengths of their corresponding sides are equal. We can infer form our picture that AD is corresponding to EH and DC is corresponding to HG, so lets find the ratios of those corresponding sides and establish a proportion to find the length of HG:

We know that

,

, and

, so lets replace those values in our proportion:




We can conclude that the length of the segment
HG is 9.
Volume of prism = area of base * height
as both prism are similar so,
if in smaller prism Length is 5 then in Larger it is 15 that is multiple of 3
similarly , breath and height will be also multiple of 3
so, V1 = 60
then V2 = 60 *3*3*3 = 1620 cubic cm
hope it helped