Suppose your community has 3580 people this year. The population is growing 2.5% each year. a. Write an exponential function to model the population. b. What will the population be in 3 years? c. Graph the function and give the domain and range.

Answer:

Step-by-step explanation:

[tex]m(t)=\dfrac{t^2-8t-20}{t+5}\\\\m(5)-\text{substitute}\ m=5:\\\\m(5)=\dfrac{5^2-8\cdot5-20}{5+5}=\dfrac{25-40-20}{10}=\dfrac{-35}{10}=-3.5[/tex]

Answer:

34.4x

Step-by-step explanation:

Answer:

34.4x

Step-by-step explanation:

40.8x-6.4x=34.4x

Answer:

hi! i'm so sorry about your headache, hope it gets better !

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Step-by-step explanation:

Answer:

Step-by-step explanation:

 1    =     2  

  3      2 + x

2 + x = 3 (2)

x = 6 - 2

x = 4

The triangle ΔABC is similar to the triangle ΔADE. Then the value of the variable 'x' will be 4 units.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

The triangle ΔABC is similar to the triangle ΔADE. Then the ratio of the corresponding sides will be constant. Then the equation is given as,

2 / (2 + x) = 1 / 3

Simplify the equation, then we have

2 / (x + 2) = 1 / 3

6 = (x + 2)

x = 6 - 2

x = 4

The value of the variable 'x' will be 4 units.

More about the triangle link is given below.

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Answer:

1.661 feet/ hour

Step-by-step explanation:

To find the rate of change, you take (y2 – y1) / (x2 – x1)

Answer:

Step-by-step explanation:

This is an exponential decay, because the base is fraction < 1

[tex]\frac{4}{6}[/tex] simplified is [tex]\frac{2}{3}[/tex] this plus [tex]\frac{5}{7}[/tex] equals 1[tex]\frac{8}{21}[/tex]

Answer:

B.)58?

Step-by-step explanation:

Hope I helped..

Answer:

b: 58

Step-by-step explanation:

Answer:

G

Step-by-step explanation:

LS and TD are in the same positions in the equation. S is the first letter and D is so they are equal to each other and the same for L and T

Step-by-step explanation:

10= -3+x

10+3=x

x=13 is ur ans

Answer:

it is 4 i just did it

Step-by-step explanation:

Answer:

Four

Step-by-step explanation:

4

The negative and positive coterminal angles of 240 degrees will be -120 negative and 600 positive.

Two different angles that have identical starting and ending edges are termed coterminal angles however since one angle is measured clockwise and the other is determined counterclockwise, the angles' terminal sides have completed distinct entire rotations.

We have to find the coterminal angles of 240 degrees

Coterminal angles are those whose initial and terminal sides coincide. Depending on whether the given angle is in degrees or radians, adding or subtracting 360° or 2 from each angle yields the coterminal angles. There are countless coterminal angles that can be discovered.

Thus, the negative and positive coterminal angles of 240 degrees will be -120 negative and 600 positive.

Learn more about the coterminal angles here:

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Answer:

AAS

Step-by-step explanation:

Hope this helps

Answer:

The answer is x = -8

Answer:

(1, 3)

Step-by-step explanation:

Answer: B. 1, 3

Step-by-step explanation: On Edge!!!!

Answer:

0.09125%

Step-by-step explanation:

Divide 73 by 800 and you will get 0.09125

Answer:

It should be %9.75

Answer:

[tex]\huge\boxed{2x^x-3x^x-x=-x^x-x}[/tex]

Step-by-step explanation:

[tex]2x^x-3x^x-x=(2-3)x^x-x=-x^x-x[/tex]

Answer:

763,000 in scientific notation. the scientific notation of 763,000 is equal to 7.63 ×

Answer:

it would cost 191.75

Step-by-step explanation:

i just put it in a proportion like this 14.75/1 = ?/13

then i just multiplied 14.75 and 13 i got the resulting answer 191.75

pls mark brianleist

Answer:

X cubed plus one

Step-by-step explanation:

Answer:

x=pn/m

Step-by-step explanation:

Divide both sides by m to isolate x from the other variables.

mx/m = pn/m

cancel out the m where possible.

x = pn/m

Step-by-step explanation:

marlena steps should look like this:

2x + 5 = -10 - x

(minus 5 from both sides)

2x = -15 - x

(add x to both sides)

3x = -15

(divide by 3)

x = -5

Answer:

step 1 addition property of equality

step 2 subtraction property of equality

step 3 division property of equality

Answer:

20%

Step-by-step explanation:

% increase = (final − initial) / initial × 100%

= (30 − 25) / 25 × 100%

= 20%

Answer:

The percent gain is 25%

Step-by-step explanation:

Answer:

decimal form: 7.46410161 or the exact form: x = 4 + 2 √ 3

Step-by-step explanation:

Answer:

4 + 2√3

Step-by-step explanation:

x - 2 = √4x

Domain: √4x ≥ 0 ⇒ x - 2 ≥ 0 ⇒ x ≥ 2

(x - 2)² = (√4x)²

x² - 4x + 4 = 4x

x² - 8x + 4 = 0

D = (- 8)² - 4(1)(4) = 48 = (4√3)²

[tex]x_{1}[/tex] = [tex]\frac{8+4\sqrt{3} }{2}[/tex] = 4 + 2√3 ≈ 7.4641

[tex]x_{2}[/tex] = [tex]\frac{8-4\sqrt{3} }{2}[/tex] = 4 - 2√3 ≈ 0.5359 < 2 ⇒ [tex]x_{2}[/tex] is extraneous root

Answer:

look it up

Step-by-step explanation:

Try and find a way to look it up.

Answer:

Im gussing you are talking about this website/app you dont have to answer all the questios you ca skip them if you dont know them and find another one to answer

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

We can use the following co-function identity:

[tex]\sin(x)=\cos(90-x)[/tex]

Substuting 35 for x yields:

[tex]\sin(35)=\cos(90-35)[/tex]

Subtract:

[tex]\sin(35)=\cos(55)[/tex]

Hence, our answer is B.

Answer:

a

Step-by-step explanation:

-5,-13

I hope this helps

Answer:

(1,1) and (7,5) => Slope: 2/3

(1,1) and (5,7) => Slope: 3/2

(2,5) and (-1,2) => Slope:1

(2,5) and (-7,-4) => Slope:1

Step-by-step explanation:

The slope of a line is denoted by m and is given as:

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Calculating the slope one by one for each pair.

(1,1) and (7,5):

Let m1 be the slope of this line

Here

(x1,y1) = (1,1)

(x2,y2) = (7,5)

Putting values in formula

[tex]m_1 = \frac{5-1}{7-1}\\= \frac{4}{6}\\=\frac{2}{3}[/tex]

(1,1) and (5,7):

Let m2 be the slope of this line

Here

(x1,y1) = (1,1)

(x2,y2) = (5,7)

Putting values in formula

[tex]m_2 = \frac{7-1}{5-1}\\m_2=\frac{6}{4} = \frac{3}{2}[/tex]

(2,5) and (-1,2):

Let m3 be the slope of this line

Here

(x1,y1) = (2,5)

(x2,y2) = (-1,2)

Putting values in formula

[tex]m_3 = \frac{2-5}{-1-2}\\m_3 = \frac{-3}{-3} = 1[/tex]

(2,5) and (-7,-4):

Let m4 be the slope of this line

Here

(x1,y1) = (2,5)

(x2,y2) = (-7,-4)

Putting values in formula

[tex]m_4 = \frac{-4-5}{-7-2}\\m_4 = \frac{-9}{-9} = 1[/tex]

Hence,

The points and their respective slopes are as follows:

(1,1) and (7,5) => Slope: 2/3

(1,1) and (5,7) => Slope: 3/2

(2,5) and (-1,2) => Slope:1

(2,5) and (-7,-4) => Slope:1

Answer:

41.2

Step-by-step explanation:

you have to add 40.1 plus 1.1 to get you  answer