Which of the following does NOT have the same slope as the rest? Question options: The slope of the line passing through the poi

If rational roots exist, they would be factors of the constant term (9) over factors of the leading coefficient (12).

The diagram below illustrates the issue at hand.

Question 1:
The maximum area of the pool equals half the area of the circle.

To calculate the area of the circle: Area = πr², with r being half of the diameter.
Thus, Area of circle = π(60)² = 11309.73355 square feet.

Therefore, the area representing half the circle amounts to 11309.73355/2 = 5654.866... ≈ 5654.87 square feet (rounded to 2 decimal places).

Question b:

To find the pool's area, we take the circle's area and subtract the triangle's area.

The area of the circle is 11309.73 square feet.

For the triangle's area calculation: 1/2 × (60×103.92) = 3117.6 square feet.

The area of the pool thus operates as 11309.73 - 3117.6 = 7922.13 square feet.

Calculating the pool's volume: 7922.13 × 4 = 31688.52 cubic feet.

Note: Information related to the fish tank is unavailable, so the above calculation focuses solely on the entire pool's volume.

It is provided that

We need to determine t when d equals 74

Thus, or

t(16t + 37) - 2(16t + 37) = 0

(t - 2)(16t + 37) = 0

t - 2 = 0 or 16t + 37 = 0

t cannot be negative.

Thus, t equals 2

Therefore, it will require 2 seconds for the object to cover 74 feet.

Given

The daily average balance is $15.

The daily periodic interest rate = 0.06%.

The cycle consists of 30 days.

Calculate the monthly finance charge.

To justify:

Let’s denote the monthly finance fee as x.

According to the details provided:

The average daily balance = $15.

The daily periodic rate = 0.06%,

First, we convert 0.06% to decimal:

= 0.0006.

Daily finance charge =  0.0006 multiplied by 15.

                                   =  0.009.

The number of days in the cycle totals 30.

Now, calculating the monthly finance charge:

The equation becomes:

x = 15 × 0.0006 × 30.

x = 0.009× 30.

x  = $0.27.

Thus, the monthly finance charge amounts to $0.27.

Thus proved.