Select the mathematical sentence that is true. A. 3 • (7 – 3) + 5 ≤ 6 + 2 • 1 B. 3 • (7 – 3) + 5 < 6 + 2 • 1 C. 3 • (7 – 3) + 5 > 6 + 2 • 1 D. 3 • (7 – 3) + 5 = 6 + 2 • 1

Answer: P(t) = 600*(1.041)^t.

Step-by-step explanation:

An exponential growth can be written as:

P(t) = A*(1 + r)^t

Where:

A =  initial population = 600

r = rate of growth in decimals = 4.1%/100% = 0.041.

t = number of units of time.

Now we have a problem, we know that the growth rate is 4.1 %, but we do not know in which time units are we working.

Because is not the same if the bacteria grows a 4.1% in one day, than if the bacteria grows a 4.1% in a hour.

But that does not matter for the actual equation, because we can just define "t" as the time (like the question asks) and the equation will be:

P(t) = 600*(1 + 0.041)^t

P(t) = 600*(1.041)^t.

Answer:

There are 27,720 ways to select the committee

Step-by-step explanation:

First, it is necessary to know how many ways are there to select 3 members, if there are 9 members of the mathematics department. This can be found using the following equation:

Where nCk gives as the number of ways in which we can select k elements from a group of n elements. So, replacing n by 9 and k by 3 members, we get:

So, there are 84 ways to select 3 members from 9 members of the mathematics department.

At the same way, we can calculate that there are 330 ways to select 4 members from the 11 that belong to the Computer science department as:

Finally the total number of ways in which we can form a committee with 3 faculty members from mathematics and 4 from the computer science department is calculated as:

9C3 * 11C4 = 84 * 330 = 27,720

Answer:

i believe the answer would be C! sorry if im wrong! ;-; <333

Given:

The equation of the circle is

We need to determine the center and radius of the circle.

Center:

The general form of the equation of the circle is

where (h,k) is the center of the circle and r is the radius.

Let us compare the general form of the equation of the circle with the given equation  to determine the center.

The given equation can be written as,

Comparing the two equations, we get;

(h,k) = (0,-4)

Therefore, the center of the circle is (0,-4)

Radius:

Let us compare the general form of the equation of the circle with the given equation  to determine the radius.

Hence, the given equation can be written as,

Comparing the two equation, we get;

Thus, the radius of the circle is 8