Volume of the original cube is a³ .
That's (a · a · a) .
If you decrease the sides to 20% of their original size,
then the new volume is (0.2a · 0.2a × 0.2a).
That's 0.008a³ or (0.2a)³ .
Take your choice. I can't decide which one is simpler.
Answer:
The height of Mrs. Marigold's roof is 10 feet.
Step-by-step explanation:
Given that,
Base of the given triangle = 48 ft
Hypotenuse = 26 ft
Half of the base = 24 ft
Using Pythagoras theorem,

So, the height of Mrs. Marigold's roof is 10 feet.
Based on these trees, your greatest common factor or highest common factor is they call it, would be 5. It is the largest number that divides evenly into both 15 and 20.
Answer:
see attachment
Step-by-step explanation:
The complex numbers in this table are the ones where a negative number is under the radical. The attachment has these circled.
Answer:
The total revenue is
.
The marginal revenue is
.
The fixed cost is $900.
The marginal cost function is
.
Step-by-step explanation:
The Total Revenue (
) received from the sale of
goods at price
is given by

The Marginal Revenue (
) is the derivative of total revenue with respect to demand and is given by

From the information given we know that the price they can sell cakes is given by the function
, where
is the number of cakes sold per day.
So, the total revenue is

And the marginal revenue is

The Fixed Cost (
) is the amount of money you have to spend regardless of how many items you produce.
The Marginal Cost (
) function is the derivative of the cost function and is given by

We know that the total cost function of the company is given by
, which it is equal to

From the total cost function and applying the definition of fixed cost, the fixed cost is $900.
And the marginal cost function is
