Answer:
The location would be between 4 and 5.
Step-by-step explanation:
The square root of 19 would be around 4.3. So you would put a mark between the two lines that are in between the 4 and 5.
Answer:
-5.6k-7
Step-by-step explanation:
you'd start by multiplying 6 by everything in the first pair of parentheses:
6(-2.1k-2)= (-12.6k-12)
then you'd add the like terms together:
(-12.6k-12)+(7k+5)= -5.6k-7
Answer:
About 25.1 cubic meters
Step-by-step explanation:
The diameter of a circle is twice the radius, meaning that the radius of the base of this cone is 4/2=2 meters. The formula for the volume of a cone is:

Hope this helps!
Answer:
h(x) = -2x^2 -2
Step-by-step explanation:
You know that translating the point (a, b) vertically downward by 3 units will make it be the point (a, b-3).
The same translation works on the point (x, f(x)), or when a=x and b=f(x). Translated downward by 3 units, the point becomes ...
(x, f(x) -3)
You want to name this (x, h(x)), so we have ...
h(x) = f(x) -3
h(x) = -2x^2 +1 -3 . . . substitute the expression for f(x)
h(x) = -2x^2 -2 . . . . . simplify