A circle is centered at the point (-7, -1) and passes through the point (8, 7).The radius of the circle is____ units. The point

Answer:

Wouldn't it be 10 out of 26, which is 2.6?

Step-by-step explanation:

There are 10 letters in "County Fair" and a total of 26 letters available, so you divide 26 by 10.

Answer:

Each coordinate pair indicates the quantity of crates and its associated cost. You can calculate the unit rate by performing division to find the y-value when the x-value equals 1.

Step-by-step explanation:

Answer:

  (1/10)∛100 ≈ 0.4642

Step-by-step explanation:

For a cubic shape with volume V, the edge length is defined as...

  s = ∛V

and the surface area is given by...

  A = 6s² = 6V^(2/3)

The area-to-volume ratio is therefore...

  r1 = A/V = 6V^(2/3)/V = 6V^(-1/3)

When the volume V is increased by a factor of 10, the new area-to-volume ratio becomes...

  r2 = 6(10V)^(-1/3)

Consequently, the change factor for the ratio is...

  r2/r1 = (6(10V)^(-1/3))/(6V^(-1/3)) = 10^(-1/3) = (1/10)∛100

The change in surface area per unit volume results in a factor of (∛100)/10.

___

Example

For a cube with side length 2, the corresponding volume equals 2³ = 8, with a surface area of 6·2² = 24. The resulting area-to-volume ratio is 24/8 = 3.

The area-to-volume ratio changed by a factor of (0.3∛100)/3 = (∛100)/10, as previously noted.

Answer:

16 years

Step-by-step explanation:

Let x represent the count of years. The suburb population increases at a rate of 5000 annually, which can be formulated as:

320000 + 5000x

The city population decreases at a rate of 14000 per year, represented as:

624000 - 14000x

The point in time when both the suburb and city populations will match can be derived from:

320000 + 5000x = 624000 - 14000x

14000x + 5000x = 624000 - 320000

19000x = 304000

x = 304000 / 19000

x = 16

In 16 years, the populations of both the suburb and the city will be equivalent