Answer:

Step-by-step explanation:
we know that
In this problem we have a exponential function of the form

where
y ----> represent the pool’s loss of water
x ----> the number of days
a is the initial value
a=25,700 gal
b ----> is the base
r=15%=15/100=0.15
b=(1-r)=1-0.15=0.85
The function is equal to

Answer:
x = 9
Step-by-step explanation:
4x + 38 = 10x - 16
The sum of two opposite interior angles is equal to the opposite exterior angle.
4x + 38 = 10x - 16
38 = 10x -16 - 4x
38 = 6x - 16
38 + 16 = 6x
54 = 6x
Divide both sides by 6
x = 9
Answer:
a) 286
b) 1,037,836,800
c) 285
Step-by-step explanation:
a) Since order is not important, the total possible number of ways to choose 10 players out of 13 is the following combination:

b) The total number of possibilities to assign positions by the selecting 10 players is the permutation of 13 players for 10 positions:

c) The number of ways to pick 10 players including at least one woman is equal to the total number of ways to pick 10 players (found in item a) minus the the number of ways to pick 10 players without picking a single woman.
Since there 10 male players for 10 positions, there is only one possible way to pick a team without women, therefore:

Answer:
32+78+x=180
Step-by-step explanation:
All triangle angles add up to 180, so add 78 and 32 then subtract it from 180 to get x, which in another form is 32+78+x=180.
It will be 1/4.
That is your answer.
Hope this helps