Answer: ![6.2\ cm](https://tex.z-dn.net/?f=6.2%5C%20cm)
Step-by-step explanation:
Given
The volume of the sphere is ![V=996\ cm^3](https://tex.z-dn.net/?f=V%3D996%5C%20cm%5E3)
Volume of sphere is given by ![V=\dfrac{4}{3}\pi r^3](https://tex.z-dn.net/?f=V%3D%5Cdfrac%7B4%7D%7B3%7D%5Cpi%20r%5E3)
Insert the values
![\Rightarrow 996=\dfrac{4}{3}\times \dfrac{22}{7}r^3\\\\\Rightarrow r^3=\dfrac{996\times 21}{88}\\\\\Rightarrow r=6.2\ cm](https://tex.z-dn.net/?f=%5CRightarrow%20996%3D%5Cdfrac%7B4%7D%7B3%7D%5Ctimes%20%5Cdfrac%7B22%7D%7B7%7Dr%5E3%5C%5C%5C%5C%5CRightarrow%20r%5E3%3D%5Cdfrac%7B996%5Ctimes%2021%7D%7B88%7D%5C%5C%5C%5C%5CRightarrow%20r%3D6.2%5C%20cm)
Thus, the radius of the sphere is ![6.2\ cm](https://tex.z-dn.net/?f=6.2%5C%20cm)
Answer:
i say B
Step-by-step explanation:
the pot is 62 which means that 20 would be x due to it increasing 20 degrees per minute
Answer:
x>8
Step-by-step explanation:
-6x+8<-40
-8. -8. (subtract f both sides)
-6x < -48
÷-6. ÷-6. (isolate variable)
x. > 8. ( when dividing and inequality by a neg number, flip the sign)
Answer:
A. Here the y-intercept is (0,4) and means at time 0 hours the fish is displaced 4 feet.
B. For every hour, the fish is displaced 60 more feet.
C. The domain is [0, 12].
Step-by-step explanation:
Part A:
The y-intercept is where the function intersects the y-axis. It is the point (0,b) and is always the starting value in real world situations since time begins at x=0. Here the y-intercept is (0,4) and means at time 0 hours the fish is displaced 4 feet.
Part B:
The average rate of change is the slope of the function found using the formula
. Use the points (0,4) and (1,64).
![m = \frac{y_2-y_1}{x_2-x_1} =\frac{64-4}{1-0} =\frac{60}{1} =60](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%20%3D%5Cfrac%7B64-4%7D%7B1-0%7D%20%3D%5Cfrac%7B60%7D%7B1%7D%20%3D60)
For every hour, the fish is displaced 60 more feet.
Part C:
The domain is the set or group of x values in the function. Time starts at 0 and goes until the fish traveled 724 feet. What time is this at?
The function has the equation y = 60 +4. Find the time by substituting y=724.
724=60x+4
720 = 60x
12=x.
The domain is [0, 12].