Answer:
Base 5
Step-by-step explanation:
We want to determine the base at which:
113 X 2 =231
We consider the last number of the result (231).
The base must be a number such that:
3 X 2 will have a remainder of 1.
3 X 2 = 6 = 5 Remainder 1
Therefore:
113 X 2 =231 in positive integral number base 5.
Answer:

Step-by-step explanation:
Given


Required
Determine the domain
First, we need to solve for p
Substitute 70 for t in 

Collect Like Terms


Solve for p


This implies that Larry can not invite up to 6 people.
Hence, the domain can be represented as: 
Answer:
your rate of change was 40%
Step-by-step explanation:
Use this version of the Law of Cosines to find side b:
b^2 = a^2 + c^2 − 2ac cos(B)
We want side b.
b^2 = (41)^2 + (20)^2 - 2(41)(20)cos(36°)
After finding b, you can use the Law of Sines to find angles A and C or use other forms of the Law of Cosines to find angles A and C.
Try it....