<span>So we want to know the volume V of the volleyball if we know the diameter d=8.15 inches and we need to round it to the nearest hundreth. The volume of a volleyball is V=(4/3)r^3*pi, and since 2 radius are equal to the diameter we need to get the radius, so 2r=D and r=D/2 or r=4.075 inches. Now we get the volume after inputting the numbers: V=283.303032 inches^3. Rounded to the nearest hundreth: V=283.30</span>
Answer:
Her overtime rate would be $19.5.
Step-by-step explanation:
Half of 13 is 6.5. If you add that to the $13 she makes, it would be $19.5.
Y= 2x+10 would be the equation and it would have no solution because there's no value if x nor y
Answer:
Step-by-step explanation:
Vertex form is accomplished by completing the square on the quadratic. Do this by first setting the parabola equal to 0 then moving the constant over to the other side:
Now take half the linear term, square it, and add it to both sides. Our linear term is 6. Half of 6 is 3, and 3 squared is 9:
The reason we do this is to create a perfect square binomial on the left:
(obviously the 0 results from the addition of 9 and -9). Move the 0 back over to the other side and set the quadratic back equal to y:
This gives you a vertex of (-3, 0), which is a minimum value, since the parabola opens upwards.
Answer:
c. t = 18; the Chang family has been driving for 18 hours
Step-by-step explanation:
Given:
D(t) = 2,280 - 60t
Find t when D(t) = 1,200
D(t) = 2,280 - 60t
1200 = 2280 - 60t
Subtract 2280 from both sides of the equation
1200 - 2,280 = 2280 - 60t - 2,280
- 1080 = - 60t
Divide both sides by -60
- 1080 / -60 = - 60t / -60
18 = t
t = 18
This means the Chang family has been driving for 18 hours
c. t = 18; the Chang family has been driving for 18 hours
