Answer:
Answer: Expression that represents the length of one side of the square is x - 5.
Answer:
If a certain cone with a height of 9 inches has volume V = 3πx2 + 42πx + 147π, what is the cone’s radius r in terms of x?
Step-by-step explanation:
V = 3πx2 + 42πx + 147π
V=3π(x2 + 14x +49)
9.42(x2 + 14x +49)
9.42(x2 + 14x +14) -14 + 49= 0
9.42(x + 7)^2 + 35= 0
9.42(9.42(x + 7)^2 = - 35)9.42
(x + 7)^2 = - 35/9.42)
√(x + 7)^2=√- 35/9.42
x + 7 = - 1.927
x= - 1.927 - 7
x= - 8.927
V = 3π(- 8.927)^2 + 42π(- 8.927) + 147π
V=750.69 - 1177.29 + 461.58
<u>V=34.98</u>
h= 9 inches
V = 13πr2h
34.98 = 13(3.14) (r^2) (h)
34.98 = 40.82 (r^2) 9
34.98 = 367.38 r^2
34.98/ 367.38 = 367.38 r^2/ 367.38
0.095= r^2
Answer:
9/2
Step-by-step explanation:
this is a simple integral function
given limits of interval [a,b] of a continuous function f(t), you can find the area under the curve by using:
using the fundamental theorem of calculus that states the integral of f(x) in the interval [a,b] is = g(a)-g(b), where g(x) is the antiderivative of f(x)
our g(x) = 
g(3)-g(0) = g(3) = 27/2 - 27/3 = 27/2-9 = 9/2
24x + 7=79
subtract 7 from both sides
24x + 7 - 7= 79 - 7
24x= 72
divide both sides by 24
x= 3
CHECK:
24x + 7= 79
24(3) + 7= 79
72 + 7= 79
79= 79
ANSWER: x= 3
Hope this helps! :)
So to better understand this question, let us define rational and irrational numbers first. Rational numbers are those numbers that can be written in fractions. On the other hand, irrational numbers are those numbers that cannot be written as fractions and the common example of it is pi. So, the rational number that is between 9.5 and 9.7 would be 9.6. This can be written as 9 and 3/5 or 48/5. And the irrational number would be <span>9.562359123571283578. Hope this answer helps.</span>
