Answer:

Step-by-step explanation:
Given


Required
Find p, when 
We have:

Express as equation

Make k the subject

When: 


When
, we have:




Answer:
Step-by-step explanation:
Let x represent the number of wins of the least team.
The number of wins for three teams was three consecutive integers. Of these three teams, if the first team had the most wins and the last team had the least wins. It means that the number of wins of the second team would be x - 1
The number if wins on the last team would be x - 2
The total number of wins by these three teams was 243. It means that
x + x - 1 + x - 2 = 243
3x - 3 = 243
3x = 243 + 3 = 246
x = 246/3 = 82
The first team had 82 wins
The second team had 82 - 1 = 81 wins
The last team had 82 - 2 = 80 wins
Answer:

Step-by-step explanation:
The penguin swam around half of the perimeter, or circumference, of the pool. The first step is to calculate that. You can find the circumference of a circle by multiplying the diameter by pi. Therefore, the circumference of this island is 20pi. Half of that is
meters. Hope this helps!
Answer:
g(f(x)) = 10x^2 - 18
Step-by-step explanation:
g(f(x)) = 5(2x² - 5) + 7
g(f(x)) = 10x² - 25 + 7
g(f(x)) = 10x² - 18
(or g(f(x)) = 10x² + (-18), to fit your answer format)