Any linear function is of the form y=mx+b
Here m is slope and b is y intercept.
Slope is difference in y divided by different in x values .
In the question for 5 persons cost is $100 and for 10 persons cost is $162.50
So the points are (5,100) and (10,162.50)
Slope m=
=12.50
We can find the value of b by taking m=12.50 and (x,y)=(5,100)
Substitute these values in y=mx+b
100=12.50(5)+b
100=62.50+b
Subtracting 62.50 both sides
b=100-62.50
b=37.5
a) Put m=12.50 and b=37.50 to get the equation
y=12.50x+37.50
b)Rate of change is the m value or the slope of the function.
Initial value that is (5,100) gives us one of the points to find the rate of change.
Answer: y = -4/5x - 12
1. First find slope. Since you are trying to find a line perpendicular to y = 5/4x + 10, the slope would be the negative reciprocal of 5/4x.
slope = - 4/5x
2. plug in (-5,-8) and the slope of -4/5 to the point slope form equation
(y-y2) = slope (x-x2)
= y+8=-4/5(x+5)
3. solve and simply y+8=-4/5(x+5)
y = -4/5x - 12 is your answer
Answer:
Step-by-step explanation:
The work is define as the integral of the force times distance. So we have:
Now, we can write the force in terms of density.
V is the volume (V=2*1*1=2 m³)
So the work will be:
The limit of integration is between 0 and 0.5 because we want to pump half of the water out of the aquarium.
I hope it helps you!
Answer:
x=4
Step-by-step explanation: 64/16=4
Answer:
C = 68.667°
a = 123.31 yd.
c = 114.90 yd.
Step-by-step explanation:
The missing image for the question is attached to this solution.
In the missing image, a triangle AB is given with angles A and B given to be 88° 35' and 22° 45' respectively
We are them told to find angle C and side a and c given that side b = 47.7 yd.
A = 88° 35' = 88° + (35/60)° = 88.583°
B = 22° 45' = 22° + (45/60)° = 22.75°
The sum of angles in a triangle = 180°
A + B + C = 180°
C = 180° - (A + B) = 180° - (88.583° + 22.75°) = 68.667°
The sine law is given as
(a/sin A) = (b/sin B) = (c/sin C)
Using the first two terms of the sine law
(a/sin A) = (b/sin B)
a = ?
A = 88.583°
b = 47.7 yd.
B = 22.75°
(a/sin 88.583°) = (47.7/sin 22.75°)
a = (47.7 × sin 88.583°) ÷ sin 22.75°
a = 123.31 yd.
Using the last two terms of the sine law
(b/sin B) = (c/sin C)
b = 47.7 yd.
B = 22.75°
c = ?
C = 68.667°
(47.7/sin 22.75°) = (c/sin 68.667°)
c = (47.7 × sin 68.667°) ÷ sin 22.75°
c = 114.90 yd.
Hope this Helps!!!
