The surface area of the sphere is:
A = 4 * pi * r ^ 2
Deriving we have:
A '= 8 * pi * r * r'
We clear the speed:
r '= A' / (8 * pi * r)
Substituting values:
r '= 24 / (8 * pi * 3)
r '= 1 / pi inch / sec
Then, the volume of the sphere is:
V = (4/3) * (pi) * (r ^ 3)
Deriving we have:
V '= (3) * (4/3) * (pi) * (r ^ 2) * (r')
Substituting values:
V '= (3) * (4/3) * (pi) * (3 ^ 2) * (1 / pi)
Rewriting:
V '= (4) * (9)
V '= 36 inch3 / sec
Answer:
the volume of the ice is changing at 36 inch3 / sec at that moment
Answer: The answer is x = 19.
Step-by-step explanation: Given that a flower pot has a base with six equal sides of measurement (x - 6) units. We are to find the value of the unknown quantity 'x' if the perimeter of the base is 78 units.
We know that the perimeter of a polygon is given by the sum of the lengths of all the sides of the polygon.
Since each side of the six-sided base is (x - 6) units, so its perimeter will be

According to the question, we have

Thus, the value of 'x' is 19 units.
Answer:
x = 6, y = -2, z = 0
Step-by-step explanation:
To find x, we have to plug 0 into f(x). Therefore, x = f(0) = 2 * 0² - 8 * 0 + 6 = 6. Similarly, to find y, we have to plug 2 into f(x) so y = f(2) = 2 * 2² - 8 * 2 + 6 = -2. Finally, z = f(3) = 2 * 3² - 8 * 3 + 6 = 0.
Answer:
c) skewed to the right.
Step-by-step explanation:
We need to remember that is a distribution is skewed to the right then we have the following condition satisfied:

And if is skewed to the left then we have:

If the distribution is symmetric we need to satisfy:

For this case since we have most of the values between 200000 and 500000 when we put atypical values like 15000000 that would affect the sample mean and on this case the sample mean would larger than the sample median because the median is a robust measure of central tendency not affected by outliers.
So for this special case we can say that the
. And probably the median would be higher than the mode so then we can conclude that the best answer for this case would be:
c) skewed to the right.
Answer: Original salary = $500
Step-by-step explanation: Tricia got a 6% raise on her weekly salary. The
raise was $30 per week.
Let x be the original salary
x times the raise percentage = raise amount
6%= 6/100=0.06, raise amount = 30
Now we solve for x
Divide by 0.06 on both sides
Original salary = $500