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:
Step-by-step explanation:
Regression and Prediction Perhaps the most common goal in statistics is to ... a model to predict individual outcomes for new data, rather than explain data in hand .... overall accuracy of the model, and is a basis for comparing it to other models
The factory normally produces 800 reels a day.
They have to cut their production by 1/5, however.
800 * 4/5 = 640 reels a day.
30 days would mean 640 * 30 reels...19200 reels.
This is less than 20,000, so the factory will NOT be able to produce enough reels.
Then rearrange the equation to get 10x on the same side as 25.
Keep in mind, once bringing to the other side, your constant and variable will switch to a negative or positive for example,
-10x will become +10x. Another example is +20x will become -20x once brought to the other side.
Continuing on once rearranged, your equation will look like,
Then we have to get rid of the 2 on 2y so you will have to divide both sides by 2.
Dividing both sides by 2, you will get,
The reason why we don't divide and rather keep the 25/2 (25 divded by 2) is because 25 divided by 2 will give an answer with a decimal and that we don't want a decimal in our equation so we just keep it the way it is. If you ever get a decimal, make sure you keep it in its fraction form.
Answer:
x = 10
Step-by-step explanation:
(3x)/2 = 15 is your question.
Isolate the variable (x). Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS (Parenthesis, Exponent (& roots), Multiplication, Division, Addition, Subtraction).
First, multiply 2 to both sides
((3x)/2) = (15)(2)
3x = (15)(2)
3x = 30
Next, to isolate the variable (x), divide 3 from both sides
(3x)/3 = (30)/3
x = 30/3
x = 10
x = 10 is your answer
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