Answer:
The volume of a cylinder is 5091.43 cm³.
Step-by-step explanation:
The volume of a cylinder is:
From the information provided it can be concluded that:
The height of the cylinder is, <em>h</em> = 20 cm.
The radius of the base is, <em>r</em> = 9 cm.
Compute the volume of a cylinder as follows:
Thus, the volume of a cylinder is 5091.43 cm³.
4 more students can go for $240
240/60= 4
Answer:
The region where the inequality is valid is (x>-5) and (x<-9).
The graph is attached.
Step-by-step explanation:
We have a inequality and we have to determine the region in the xy-plane that inequality.
We divide the inequality in two regions:
1) When (x+7)>0, we have:
2) When (x+7)<0, we have:
Then, the region where the inequality is valid is (x>-5) and (x<-9).
The graph is attached.
We can write equations, using x and y as the length and width:
xy=40
2x+2y=26
Divide the second equation by two to get:
xy=40
x+y=13
Thus, x=13-y.
We now have (13-x)x=40, so
and
Factoring, we get:
(x-5)(x-8)=0
So, x can be either 5 or 8 (and y will be the other option). Thus, the length and width are 8 and 5.
lim x → ∞ x^4 x^8 + 2
Combine exponents:
lim x → ∞ x^(4 +8) + 2
lim x → ∞ x^12 + 2
The limit at infinity of a polynomial, when the leading coefficient is positive is infinity.