Answer:
Hours driven= 40 hours
Step-by-step explanation:
Giving the following information:
Variable income= $21.6 per hour
Fixed income= $250
Total income= $1,114
<u>To calculate the number of hours driven, we need to use the following formula:</u>
Total income= fixed income + hourly rate*number of hours
1,114 = 250 + 21.6*x
864 = 21.6x
864 / 21.6 = x
40=x
Hours driven= 40 hours
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<em>We will assume the tent is in the shape of a triangular prism.</em>
The volume of a triangular prism can be found with the following formula, where 
is the width at the base, 
is the height, and 
is the length.
Substitute in the known values.
Simplify — use multiplication.
Simplify — use division.
The volume — or in this case, the amount of living space — is 
.
Answer:
V=1884 Cubic mm
Step-by-step explanation:
We know that the volume of the Sphere is given by the formula
Where r is the radius and h is the height of the cylinder
We are asked to determine the radius of the hollow cylinder , which will be the difference of the solid cylinder and the cylinder being carved out.
Where
is the the volume of solid cylinder with radius 
and height h
is the volume of the cylinder being carved out with radius 
and height h
where
mm ( Half of the bigger diameter )
mm ( Half of the inner diameter )
mm
Putting these values in the formula for V we get
Answer: p=-7
Step-by-step explanation:
To solve for p, you want to isolate the variable, get p alone. You would use different algebraic properties to do so.
30+6p=7p+42-5
30+6p=7p+37
-7=p
p=-7
Answer:
1) To see whether it is a maximum or a minimum, in this case we can simply look at the graph. f(x) is a parabola, and we can see that the turning point is a minimum. By finding the value of x where the derivative is 0, then, we have discovered that the vertex of the parabola is at (3, −4).
2
