What is x in the equation 5^{3-2x} = 5^{-x} A) x = 3 B) x = 1 C) x = -1 D) x = -3

In 2015, the population of a small town in Florida is 95. If he population increases 15% every year, approximately what will the

vova2212 [387]

The population is increasing every year. so we use exponential growth function

$y=a(1+r)^x$

Where 'a' is the initial population

r is the rate of increase

x is the years

y is the final population

In 2015, the population of a small town in Florida is 95

Initial population a= 95

r= 15%= 0.15

x = 2023 - 2015 = 8 years

Plug in all the values and find out y

$y=a(1+r)^x$

$y=95(1+0.15)^8$

y = 290.607

The population in 2023 is 291

8 0

3 years ago

Find the Range and Domain of the Binary relations

sukhopar [10]

Answer:

A = {3,5,6}

B = {1,3}

A x B = {(3,1),(3,3),(5,1),(5,3),(6,1),(6,3)}

Domain of A x B = (The x figures in ascending order)

=> {3,5,6} (Figures repeating more than once must be written only 1 time)

Range of A x B = (The y figures in ascending order)

=> {1,3}

B x A = {(1,3),(3,3),(1,5),(3,5),(1,6),(3,6)}

Domain of B x A = {1,3}

Range of A x B = {3,5,6}

8 0

3 years ago

A football coach wants to see how many laps his players can run in 15 minutes. During a non-mandatory meeting, the coach asks fo

mestny [16]

Answer:

Step-by-step explanation:

There are three reasons here why randomization is not being applied.

First, the coach is only observing football players attending the meeting. This is not representative of the entire team.

Second, there is no selection process. The coach isn't using a random generator or using a similar method.

Third, the players are volunteering for the test. The results will be biased because of this.

6 0

2 years ago

Evaluate 3x^3 - 5y^2 x=5 y=2

Sliva [168]

Answer:

355

Step-by-step explanation:

3 $x^{3}$ -5 $y^{2}$ =3*5³-5*2²

3*5³-5*2²=3*125-5*4

3*125-5*4=375-20

375-20=355

6 0

2 years ago

Can someone plz do the dimensional analysis for 32ft/6.45 sec to meters/min? Thank You!

Rzqust [24]

Answer:

About 90.73 meters/min.

Step-by-step explanation:

Dimensional analysis is done by multiplying the wanted unit over the current unit in equal measure, or the other way around.

First, we will convert feet to meters, using that 1 ft = .4048 m.

32ft/6.45sec * .3048m/1ft = 32/6.45sec * .3048m = 9.7536m/6.45 sec.

Second, we convert seconds to minutes, using that 60 sec = 1 min.

9.7536m/6.45sec * 60sec/1min = 9.7536*60m/6.45min ≈ 90.7311627m/min.

5 0

3 years ago