What is the value of y in the equation 6 + y = −3?
1 answer:
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Answer:
The volume inside the cylinder is .
Step-by-step explanation:
Given : Four spheres of radius 6 cm just fit inside a cylinder.
To find : Calculate the volume inside the cylinder that is empty ?
Solution :
The volume of the cylinder is volume of 4 spheres.
The volume of sphere is
The radius is 6 cm.
The volume of four spheres is
Therefore, the volume inside the cylinder is .
Answer:
Therefore,
The length of the path traced by the outer tip of the minute hand in one hour, is 88 inches.
Step-by-step explanation:
Given:
The length of the minute hand of a clock is,
Which is as Radius,
Therefore,
Radius = r = length of the minute hand = 14\ inches
pi = 22/7
To Find:
The length of the path traced by the outer tip of the minute hand in one hour, will be One full rotation, that is
Circumference, C = ?
Solution:
Circumference, is given by,
Therefore,
The length of the path traced by the outer tip of the minute hand in one hour, is 88 inches.
Answer:
The correct answer is NO. The best price to be charged is $3.75
Step-by-step explanation:
Demand equation is given by Q = 30 - 4P, where Q is the quantity of necklaces demanded and P is the price of the necklace.
⇒ 4P = 30 - Q
⇒ P =
The current price of the necklace $10.
Revenue function is given by R = P × Q = × ( 30Q -
)
To maximize the revenue function we differentiate the function with respect to Q and equate it to zero.
=
× ( 30 - 2Q) = 0
⇒ Q = 15.
The second order derivative is negative showing that the value of Q is maximum.
Therefore P at Q = 15 is $3.75.
Thus to maximize revenue the price should be $3.75.