Answer:
the answer is C.
Step-by-step explanation:
Answer:
m= 4, b = 3 matches with y = 4x +3
m=5, b = -2 matches with y = 5x - 2
m = 3, b = 4 matches with y = 3x + 4
m = -2, b=5 matches with y = -2x + 5
Step-by-step explanation:
Slope-intercept form is <em>y = mx + b</em><em> </em>in which m = slope and b = y-intercept
Answer:
a) rCn = 1176
b) 2352
Step-by-step explanation:
a)Each committee should be formed with 3 members ( no two members could be of the same state) then
Let´s fix a senator for any of the 50 states so in the new condition we need to combined 49 senators in groups of 2 then
rCn = n! / (n - r )! *r!
rCn = 49!/ (49 - 2)!*2!
rCn = 49*48*47! / 47!*2!
rCn = 49*48 /2
rCn = 1176
So we can choose in 1176 different ways a senator for a given state
b) To answer this question we have to note, that, 1176 is the number of ways a committee can be formed with senators of different sate (taking just one senator for state ) if we have 2 senators we need to multiply that figure by 2.
1176*2 = 2352
The container will take 25 minutes to go from full to empty.
Explanation:
In 15 minutes, the container has lost 3 gallons of water (
5
−
2
=
3
).
Since the leak is at a constant rate, we can determine that every five minutes the container loses one gallon.
So for the container to lose the full 5 gallons will take 25 minutes (
5
×
5
=
25
)
It is because there are 7 1/8 and it is bigger than 2 1/8.
