Answer:
The rate of change of the volume of the cylinder at that instant = 
Step-by-step explanation:
Given:
Rate of increase of base of radius of base of cylinder = 7 mm/hr
Height of cylinder = 1.5 mm
Radius at a certain instant = 12 mm
To find rate of change of volume of cylinder at that instant.
Solution:
Let 
represent radius of base of cylinder at any instant.
Rate of increase of base of radius of base of cylinder can be given as:
Volume of cylinder is given by:
Finding derivative of the Volume with respect to time.
Plugging in the values given:
Using 
(Answer)
Thus rate of change of the volume of the cylinder at that instant =
Answer:
as a decimal is 1.735.
Step-by-step explanation:
To convert a fraction into a decimal, you first have to put the fraction into simplest form.
1. Simplest form
To do this you must find a number you can equally divide both numbers by.
That number in this situation, 5.
Now you must make this simplest formed fraction into a mixed number.
2. Simplest form into Mixed number
To do this you see how many times the denominator, the bottom number of the fraction, goes into the numerator, the upper part of the fraction.
Since 200 x 2 = 400 and since 400 > 347 this means...
200 goes into 347, once.
Finally, subtract and divide.
Remember put the whole number in front of the mixed number, before the decimal
3. Subtract, divide, decimalize
Hopes this helps you!
Have a good afternoon!
For end behavior, we need to consider 2 things: the highest exponent, and the coefficient of the highest exponent.
the highest exponent is 6, an even number, which means that the end behaviors will both be ∞ or -∞.
Since the coefficient is -4, a negative number, the end behaviors will both be -∞.
As x→ -∞, f(x)→ -∞. As x→ ∞, f(x)→ -∞.
Answer:
I haven't done these in 2 years and I'm not sure if I remember things correctly but here's what I would put down.
5) No, it is not because the sizes of each section are not even.
6) Yes, this is fair since there are a even chance of getting each number.
7) 3 out of 25 or 3/25
8) The bag with 250 colored tiles would give him a less chance of picking a blue tile. In the first bag, there is a 40% chance that Greg would pick a blue tile while the second bag, he would have a 30% chance of picking a blue tile. To get these percentages, I divided the the amount of blue tiles in the bag by the total amount of tiles.
Explantion for question 8: 10 blue tiles in a bag of 25 so you would do 10/25 which is .4 and as a percentage it would be 40%. For the second question, 75 blue tiles out of 250 total so 75/250 and that would be .3 and as a percentage, it would be 30%. The "/" is a fraction bar and is sometimes used as a division symbol as well, just in case you don't know:)
Step-by-step explanation:
