Answer:
hello your question is incomplete attached below is the complete question
answer : -2400 π
Step-by-step explanation:
dr/dt = -12 km/s
h = 2.5 km
r = 40 km at some instant
hence the rate of change of Volume of cylinder at that instance
= dv / dt =
=
= 
hence ; dv / dt = -2400 π
Answer:


Step-by-step explanation:
Let x represent number of small candles and y represent number of large candles.
We have been given that Jonah needs to buy at least 20 candles. This means number of small and large candles should be greater than or equal to 20. We can represent this information in an inequality as:

We are also told that small candles cost $3.50, so cost of x small candles would be
.
Since large candles cost $5.00, so cost of y large candles would be
.
We are told that Jonah cannot spend more than $80, this means cost of x small candles and y large candles should be less than or equal to $80. We can represent this information in an inequality as:

Therefore, our required system of inequalities would be:


Answer:
The corresponding point is (1,-4)
Step-by-step explanation:
we know that
The point (1,-8) is on the graph of f(x)
so
that means
For 
therefore
For the function 1/2f(x)
For 
The corresponding point is (1,-4)
When dividing 1/8 by 2
we have to first take the reciprocal of 2
reciprocal is when the numerator and denominator are exchanged
2 when written as a fraction is

we need to find the reciprocal of

which is

then

when 'of' function is used it means to multiply the 2 fractions
when multiplying fractions multiply the numerators by numerators and multiply denominators by denominators
is

answer is