Answer:
I'm assuming you meant a and c. If so, a=-4, and c=14.
Step-by-step explanation:
y=mx+b
m=.75
b=8
5=(.75)(a)+8
-3=.75a
a=-4
c=(.75)(8)+8
c=14
Answer:
Option (2)
Step-by-step explanation:
Domain of a function is represented by the set of x-values (Input values) and Range of the function is represented by the set of y-values (Output values)
From the graph attached,
Given function is,
Domain of this function will be {x ∈ R | x ≠ -2}
[Since, point x = -2 doesn't lie on the given graph]
Range of the function will be {y ∈ R | y ≠ -5}
Therefore, Option (2) will be the correct option.
We can use fraction to solve this problem. Since Jean can fill the pool in 8 hours and Mark in 12 hours, we can use the formula X/8 + X/12 = 1 where X/8 stands for Jean's job and X/12 for Mark's.
X - total number of hours Jean and Mark can fill the pool
To add the two fractions, we need to have the same denominator which is 24.
The equation will be (3X + 2x) / 24 = 1, which will give us a simplified formula of 5X / 24 = 1.
To get X, we need to multiply 24 to both sides (5X/24 and 1) so that the equation will be 5X = 24. We only need to solve for X, so we will remove 5 from X by dividing it to 24, giving us the equation 5X/5 = 24/5.
The final answer will be X = 24/5 hours or 4.8 hours.
Therefore, the supervisor is incorrect since Jean and Mark can fill the pool in less than 10 hours.
Answer:
12321
Step-by-step explanation:
jeff
The volume flow rate of the air being pumped into the football will be given by:
Q=V*A
Where
V=Speed
A=Area
You know that your pump expels air at speed of 8.2 ft/s
The area of The needle of your pump is
A=pi*r^2=pi*((4.5/1000)*(3.28))^2=0.00068442 ft^2
Finally
Q=V*A=(8.2 ft/s)*(0.00068442ft^2)=0.005612243 ft^3/s
