MATHEMATICS COLLEGE

Please help Dekalbs current population is 3,500 and it is increasing by 40 people pr year. Sycamores current population is 12,040 and it is decreasing by 100 people every year

Q: Write expressions for each population if x represents the number of years
And What is the current population of dekalb?

Answers

Answer 1

Answer:

Answer:

Dekalb: 3500+40x = F

Sycamores : 12,040 - 100x = F

Step-by-step explanation:

These expressions can be used to explain each population

X = number of years for both expression

F = Final population

Dekalb: 3500+40x = F

Sycamores : 12,040 - 100x = F

The current population if 3500 if no years have gone by, plug in the year of numbers for X to find final population after the amount of years.

Related Questions

HELP ASAPPPPP!!!!!!!
Identify m∠C in the triangle shown.Question 6 options:A) 17°B) 23°C) 21°D) 19°
Help please!!!!! asap
Consider a colony of E.Coli bacteria that is growing exponentially. A microbiologist finds that, initially, 1,000 bacteria are present and 50 minutes later there are 10,000 bacteria. a) Find expression for the number of bacteria Q(t) after t minutes. b) When will there be 1,000,000 bacteria?
Four friends want to share two largepizzas equally. Each pizza is cut into ten slices. How many slices will each person get?

State if the two triangles are congruent. If they are, state how you know.1) SSS
2) SAS
3) ASA
4) AAS
5) NOT CONGRUENT

Pic is up right answer = brainliest

Answers

The two triangles ΔABC and ΔCDA are congruent. Then the correct option is B.

What is a rectangle?

It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.

The rectangle is ABCD is given below.

In triangles ΔABC and ΔCDA,

AB = CD (opposite sides)

BC = AD (opposite sides)

∠ABC = ∠ADC = 90°

The two triangles ΔABC and ΔCDA are congruent. Then the correct option is B.

More about the rectangle link is given below.

brainly.com/question/10046743

#SPJ2

Answer: Your answer is 2) SAS

Step-by-step explanation: Yes, there are congruent.

N f(x) =10-2( x ), Solve when given f(12) function notation

Answers

Answer:

-14

Step-by-step explanation:

$10 - 2(12) = - 14$

lisa an experienced shipping clerk can fill a certain order in 7 hours to a new clerk needs 8 hours to do the same job working together how long will it take to fill the order

Answers

In one hour Lisa can do 1/7 of the job, and in one hour the new clerk can do 1/8 of the job. Working together for one hour they can do (1/7) + (1/8) of the job.
$(1)/(7)+(1)/(8)=(15)/(56)$
Therefore when working together they will take 56/15 = 3.733 hours.

The answer is 3.733 hours or 3 hours and 44 minutes.

A study is given in which scientists examined data on mean sea surface temperatures (in degrees Celsius) and mean coral growth (in millimeters per year) over a several-year period at different locations. Here are the data: Sea Surface Temperature 29.69 29.87 30.16 30.22 30.48 30.65 30.80
Growth 2.63 2.57 2.67 2.50 2.47 2.38 2.25

Required:
a. Find the mean and standard deviation of both sea surface temperature x and growth y and the correlation r between x and y.
b. Find the least-squares line. The result should agree with your work in part (a) up to roundoff error. (Round your answers to three decimal places.)
c. Say in words what the numerical value of the slope tells you.

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Sea Surface Temperature (x) : 29.69 29.87 30.16 30.22 30.48 30.65 30.80

Growth : (y) 2.63 2.57 2.67 2.50 2.47 2.38 2.25

Mean (x) :

Σ(X) / n

n = number of observations

Mean (m1) = Σ(X) / n = 211.87 / 7 = 30.27

Standard deviation(sx) = 0.3742 (using calculator)

Mean (m2) :

Σ(y) / n = 17.47 / 7 = 2.50

Standard deviation(sy) = 0.1354 ( using calculator)

Correlation (r) :

(1/n)Σ[(x - m1) / sx] × [(y - m2) /sy]

Using calculator to save computing time :

r = - 0.8642

b. Find the least-squares line. The result should agree with your work in part (a) up to roundoff error. (Round your answers to three decimal places.)

The least square line using the regression calculator :

y = -0.31 + 11.96x

Comparing to the regression equation format :

y = mx + c

Where ;

-0.31 = intercept ; 11.96 = slope ; x = independent variable ; y = dependent variable

c. Say in words what the numerical value of the slope tells you.

For every 1° degree rise in surface temperature, growth increases by 11.96

The 3rd degree Taylor polynomial for cos(x) centered at a = π 2 is given by, cos(x) = − (x − π/2) + 1/6 (x − π/2)3 + R3(x). Using this, estimate cos(86°) correct to five decimal places.

Answers

Answer:

The cosine of 86º is approximately 0.06976.

Step-by-step explanation:

The third degree Taylor polynomial for the cosine function centered at $a = (\pi)/(2)$ is:

$\cos x \approx -\left(x-(\pi)/(2) \right)+(1)/(6)\cdot \left(x-(\pi)/(2) \right)^(3)$

The value of 86º in radians is:

$86^(\circ) = (86^(\circ))/(180^(\circ))* \pi$

$86^(\circ) = (43)/(90)\pi\,rad$

Then, the cosine of 86º is:

$\cos 86^(\circ) \approx -\left((43)/(90)\pi-(\pi)/(2)\right)+(1)/(6)\cdot \left((43)/(90)\pi-(\pi)/(2)\right)^(3)$

$\cos 86^(\circ) \approx 0.06976$

The cosine of 86º is approximately 0.06976.

Final answer:

We estimate the cosine of 86 degrees by first converting 86 degrees to radians (approximately 1.50098) and substituting this into the Taylor polynomial. The result is -0.08716

Explanation:

To calculate the cosine of 86 degrees using the Taylor polynomial, we first have to convert the degrees to radians, as the Taylor polynomial is based on the radian definition. The conversion yields approximately 1.50098 radians.

Then, we substitute this value into the Taylor polynomial. We ignore R3(x) as it represents the remainder and tends to zero as x approaches π/2. So, cos(86°) ≈ - (1.50098 - π/2) + 1/6 * (1.50098 - π/2)³. Computing this gives us an estimate of cos(86°) = -0.08716 to five decimal places.