Yves bought 420 tropical fish for a museum display. He bought 6 times as many parrotfish as angelfish. How many of each type of

Answer:

Volume = 16 unit^3

Step-by-step explanation:

Given:

- The solid is situated between x = 0 and x = 4.

- Diagonal lines stretch from y = sqrt(x) to y = -sqrt(x)

Find:

Calculate the volume enclosed.

Solution:

- We will begin by finding the area projection of the solid on the plane at x = 0.

A(x) = 0.5*(diagonal)^2

- The diagonal ranges from y = sqrt(x) to y = -sqrt(x), thus

A(x) = 0.5*(sqrt(x) + sqrt(x))^2

A(x) = 0.5*(4x) = 2x

- By utilizing the area function, we will integrate across x from 0 to 4 to determine the solid's volume:

V = integral(A(x)).dx

V = integral(2*x).dx

V = x^2

- Evaluating from 0 to 4:

V= 16 - 0 = 16 unit^3

Answer:    

Step-by-step explanation:

Given: The manager of a video game store discovered that 35 out of the 140 customers who preordered the latest baseball game canceled their orders one day prior to the game's launch.

The likelihood that two customers who preordered the newest golf game will both cancel their orders the day before the game is released

Therefore, the probability that two customers who preordered the newest golf game will both cancel their orders the day before the game is released is .

Answer:

The center of the circle is at the coordinates (-4,6).

The radius measures 14 units.

Step-by-step explanation:

The general formula for a circle is as follows:

Where r denotes the radius and the center is specified at

Specifics for this question:

We need to complete the squares to convert the equation into its standard format:

So

To complete the squares, each first degree term (8 and -12) is divided by two, yielding new terms (4 and -6). This allows us to express it as the square of (x+4) and (y-6). To balance the equation, we must incorporate the squares of 4 and -6 on the opposite side.

The center is located at the coordinates (-4,6).

The length of the radius is