Answer:
a) we know that this is convergent.
b) we know that this might not converge.
Step-by-step explanation:
Given the 
is convergent
Therefore,
(a) 
The power series 
has radius of convergence at least as big as 8. So we definitely know it converges for all x satisfying -8<x≤8. In particular for x = -3
∴ is convergent.
(b) 
-8 could be right on the edge of the interval of convergence, and so might not converge
In order to solve this you have to use the pythagorean’s theorem, which is a^2+b^2=c^2. from the problem you can find out you have a=13ft and c=24ft. c is your hypotenuse. you then solve and you get b=20.17ft. you can check to make sure the answer is right, but that is how you solve it. And the ladder would reach 20.17ft.
V=(4/3)(pi)(r^3)
A=4(pi)(r^2)
36(pi)=4(pi)(r^2)
36=4(r^2)
9=(r^2)
r=3
V=(4/3)(pi)(3^3)
V=(4/3)(pi)(27)
V=36(pi)
Answer:
The measure of angle MNP is
m ∠ MNP = (x - y)/2
Explanation:
The image attached shows the figure corresponding to this question.
The angle MNP, which is also the angle LNP, is formed by the intersection of a secant and a tangent to a circle.
Then, you can use the theorem:
the angle formed by a secant and a tangent to a circle that intersect outside the circle is half the difference of the major arc minus the minor arc.
The major arc formed is identified with the letter x and the minor arc is identified with the letter y. Thus, the measure of the angle MNP is half the difference x - y:
m ∠ MNP = (x - y)/2
Brainliest please
Answer:
The two rates are equivalent.
Step-by-step explanation:
Here we'll find the respective unit rates and then compare those rates:
$168
----------- = $4/car
42 cars
$152
----------- = $4/car
38 cars
These two rates are precisely the same. Thus, we conclude that they are equivalent.
