The population of a town grows exponentially. After 1 year, the population is 34,560. After 2 years, the population is 37,325. Which equation can be used to predict, y, the number of people living in the town after x years? (Round population values to the nearest whole number.)

Answers

Answer 1

Answer: y = 2760x + 34560

(y=mx+b)

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How many ways are there to select a committee to develop a discrete mathematics course at a school if the committee is to consist of 3 faculty members from the mathematics department and 4 from the computer science department, if there are 9 faculty members of the math department and 11 of the CS department?

Answers

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:

$nCk=(n!)/(k!(n-k)!)$

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:

$9C3=(9!)/(3!(9-3)!)=84$

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:

$11C4=(11!)/(4!(11-4)!)=330$

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

The sum of three times a number and 8 is –22. What is the number?1.)–10
2. )10
3. ) –5
4.) 5
Can someone help please.

Answers

If you subtract 8 from -22 and then divide by 3 you get the answer, -10

Let's take this phrase by phrase.

sum of three times a number and 8 = 3x + 8
Whenever there is a term mentioned without a definite value, we can represent it with a variable. In this case, I represented the number with "x".
is -22 means =-22
What equals -22? The sum of three times a number and 8 equals -22.
3x + 8 = -22
Subtract both sides by 8
3x = -30
x = -10

Final Answer: 1) -10

Solve the inequality: 3. n - 23 < -2.5

Answers

Answer:

$\Huge \boxed{\boxed{\bf{n < 20.5}}}$

Step-by-step explanation:

To solve the inequality $\tt{n - 23 < -2.5 }$ , we want to isolate the variable $\tt{n}$ .

Let's begin by adding 23 to both sides of the inequality:

$\tt{n - 23 + 23 < -2.5 + 23}$

This simplifies to:

$\tt{n < 20.5}$

Therefore, the solution to the inequality is $\bf{n < 20.5}$ .

#BTH1

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A relation is:A.) the output (y) values of the relation

B.) the input (x) values of the relation

C.) a set of points that pair input values with output values

D.) x and y values written in the form (x,y)

Answers

D. X and y values written in the form of (x,y)

the answer would be D since x,y is a function

Solve for X look at the image below

Answers

Answer:

x = 3

Step-by-step explanation:

m<R = 180 - 110 = 70

m(arc)KQ = 2 × 70 = 140

m(arc)PQ = 140 - 50 = 90

30x = 90

x = 3

MATH HELP ASAP PLEASE

Answers

[3-(5-(7+1))^2]-5+3]

[3-(5-8)^2]-5+3]

[3-(-3)^2]-5+3]

[3+9]-5+3]

[12]-5+3]

12[-2]

12+2

[3-(5-(7+1))²]-5+3]
[3-(5-8)²]-5+3]
[3-(-3)²]-5+3]
[3-9]-5+3]
(-6)-5+3
(-11)+3
(-8)

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