Answer:
V = 23.85 ft³
Step-by-step explanation:
The dimension of the square base = x ft by x ft
Height of box = y
Volume of the box,
Cost of top = $4 *
Cost of the bottom = $9 *
Cost of the sides = $3 * 4xy
Total cost = 4x² + 9x² + 12xy
Total cost = 13x² + 12xy
Total cost = $193
193 = 13x² + 12xy
But volume, V = x²y
V =
V = ...................(1)
At maximum value, V' = 0
0 =
x = 2.23
Put the value of x into (1)
V = 23.85 ft³
Answer:
×
×
=
Step-by-step explanation:
When working with scientific notation, you are either given a decimal or whole number. The point of scientific notation is to rewrite a number in a more simplified form.You need to change the number so that there is one number on the left side of the decimal. An exponent is used to describe the change in the number. For example:
0.00003
In order to get one number to the left of the decimal, you need to move the decimal to the right 5 spaces. Since the zeros are to the left of the primary number (3), the exponent will be negative. The exponent itself will be the spaces you moved:
×
The ten is used because of the decimal places you are moving. When you multiply a number by 10, you add a zero. For example:
×
Since there is a 10, we will be adding in zeros. The exponent determines how many zeros will be added. Since it is a positive number, the numbers will be to the right of the primary number:
200,000