we are given
radius=r=12m
height=h=9m
now, we can use formula of volume of cylinder

now, we can plug values
and we get

we get

so, the exact volume of the cylinder is
..........Answer
Answer:
8 Units, let me know if you didn't understand anything.
Step-by-step explanation:
Translation is the simple movement of just left, right, up or down. when dealing with the absolute value function here are the transformations.
A|B(x - C)| + D where A is the vertical stretch that multiplies all y values by A save where y=D. B is the horizontal shrink, so you divide all x values by B except for where x=C. C is the horizontal shift, which is a translation. C makes ALL points on the graph move to the right by C or if C is negative it moves them to the left. it could also look like |x + C|. keep in mind, +C is actually -C because - -C = C. D shifts up and down, so it is also a translation. if D is positive it moves up and if D is negative it moves down.
Nowthe only transformation in your problem is -8, which is a horizontal shift to the right. so the graph moves 8 to the right. There is your answer, 8 units.
Answer:
127.53 liters left after 10 minutes
Step-by-step explanation:
Let


Given
--- initial
--- the amount left, after 5 minutes
Required
--- amount left after 5 minutes
To do this, we make use of:

implies that:

Divide both sides by 200

Take natural logarithm of both sides



So, we have:

Divide by 5

So, the function is:


The amount after 10 minutes is:



Answer:
5.5
Step-by-step explanation:
Answer:
y=3x-1 (replace x with 7 )
Step-by-step explanation:
y=3 (7)-1
y= 21-1
y= 20
note: multiply 3 with seven and minus 1 the answer is y so y=20