Answer:
12
Step-by-step explanation:
f(x)=x+3
g(x)=x^2-x
[f(x)+g(x)]=[x+3]+[x^2-x]
[f(x)+g(x)]=x+3+(x^2)-x
x and -x will be cancelled; hence
[f(x)+g(x)]=x^2+3
f(x)+g(x)=(f+g)(X)
(f+g)(x)=x^2+3
(f+g)(-3)=(-3^2)+3
(f+g)(-3)=9+3
(f+g)(-3)=12
Answer:
2.67 x 10^3
Step-by-step explanation
The exponent is equal to how many numbers are after the decimal point. So, since there are 3 numbers after the decimal point, the exponent would be 3. Hope this helps :)
Answer: 15.8 because three rounds down from the 8 so the 8 stays 8
We will have the following:
First, we can see that the volume of the sphere and the regular cone are given by:
And:
Now, since the volume of the cone is inscribed by a maximum stablished by the sphere, we know that the maximum height for the cone will be equal to the radius of the sphere, so, we re-write the volume of the cone:
i. Now, we determine the ratio of both volumes as follows:
[Cone to sphere]
So, the ratio of the volumes of the cone to the sphere will be of 1:4.
ii. And the expression in terms of r for the volume inside the sphere but outside the cone will be:
So, the expression is: