write a function that represents the number of emergency responses professionals in the town in terms of the towns total population

Answers

Answer 1

The exponential growth function will be:  y = 4000(1 + 0.04)⁴

How to solve Exponential growth unctions?

An exponential equation is an equation with exponents where the exponent (or) a part of the exponent is a variable.

We are given;,

Initial population = 4000

Rate of increase = 4%

Let current population be p.

Let number of years passed be t.

Thus, the exponential growth function will be:

y = 4000(1 + 0.04)⁴

Complete question is;

A town has a current population of 4,000. The population increased 4 percent per year for the past four years, Emergency response professionals make up 3 percent of the town's population.

Part A

Write a function that represents the population (p) of the town in terms of the number of years (1) for the last four years.

Read more about Exponential Growth Functions at; https://brainly.com/question/27161222

#SPJ1

Answer 2

Answer:

number of emergency response professionals = 3% of population

e = 0.03p

e is a function of p

e(p) = 0.03p

Step-by-step explanation:

edumentum


Related Questions

Please help with algebra

Answers

Answer:

54%

Step-by-step explanation:

Solve 3x2 = -12x - 15.
Ox= -4 + 2i
Ox=-4+1
Ox=-2 + 2i
Ox= -2

Answers

Answer:

x = -2 - i,  -2 + i.

Step-by-step explanation:

3x2 = -12x - 15

3x^2 + 12x + 15 = 0

Divide through by 3:

x^2 + 4x + 5 = 0

x^2 + 4x = -5

Completing the square:

x^2 + 4x + 4 = -5 + 4

(x + 2)^2 = -1

x + 2 =  √-1 = i

x = -2 - i, -2 + i.

find the x and y intercepts of the linear equation 2x - 4y = -20

Answers

Answer:

see explanation↓

Step-by-step explanation:

We are given the following equation of a line:

[tex]2x-4y=-20[/tex]

To determine the x-intercept we must set "y = 0":

[tex]2x-4(0)=-20[/tex]

[tex]2x=-20[/tex]

Now, we divide both sides by 2:

[tex]x=-\frac{20}{2}=-10[/tex]

Therefore, the "x" intercept is -10.

To determine the y-intercept we set "x = 0":

[tex]2(0)-4y=-20[/tex]

[tex]-4y=-20[/tex]

Now, we divide both sides by -4:

[tex]y=\frac{-20}{-4}=5[/tex]

Therefore the y-intercept is 5.

what is the expanded form of 812004?​

Answers

Answer:INDIAN SYSTEM

8,00,000 + 10,000 + 2,000 + 4

Eight Lack Twelve Thousand And Four

INTERNATIONAL SYSTEM

800,000 + 10,000 + 2,000 + 4

Eight Hundred And Twelve Thousand And Four

hope this is the expected answer!!,if it is correct/satisfying then PLS mark Brainlist

(: !!HAVE A NICE TIME!! :)(: !!STAY SAFE!! :)

What is the multiplier for a 58% decrease

Answers

Answer:

A. 0.58

Step-by-step explanation:

CAN SOMEONE PLEASE HELP ME WITH THIS!! ILL GIVE YOU BRAINLIST ANSWER
IMAGE DOWN BELOW!

Answers

how long is |MN| when you measure it and do you know anything about the length of |NO| and |OP|?

assuming |MN|= 7.7 ; |NO|= 4.7 ; |MO|= 5.5:

o²= m²+n²

= 4.7²+5.5²

=52.34

o=V52.34

≈7.23

I'LL MAKE YOU BRAINLIEST IF YOU ANSWER THIS

In the triangle shown, the ratio of the height to the length of the base is 3:4.


Chose True or False on A-C.


A. The area of the triangle is twice the area of a parallelogram with the same base and height


B. The height is 3/4 the base length.


C. The area is 8.64 mm²

Answers

Answer:

A. False

B. True

C. True

Step-by-step explanation:

A: Area of traingle = 1/2 × Base Length × Height

Area of parallelogram = Base Length × Height

Therefore, Statement A is False.

B: Base on the ratio for height to base length 3:4,

Statement B is True.

C: Base Length = 4.8 ÷ 4 × 3

= 3.6 mm

Area of Triangle = 1/2 × Base Length × Height

= 1/2 × 3.6 × 4.8

= 8.64mm²

Therefore, Statement B is True.

HELP PLEASE <3

What is the area of the circle with the equation 2x2 + 2y2 = 8?

show work pls !!

Answers

Answer:

4pi

Step-by-step explanation:

Divide through by two to get

x^2 + y^2 = 4       4 = radius squared     radius = 2

area = pi r^2 = 4 pi

Answer: 4π

Step-by-step explanation:

Under the assumption that those are exponents, and your equation is:

[tex]2x^2+2y^2=8[/tex]

You first must turn this circle equation into standard form. The standard form for the equation of a circle is as follows:

[tex](x-a)^2+(y-b)^2=r^2[/tex]

For your case, the constants 'a' and 'b' are clearly zero. We have an annoying coefficient of 2 which can be cancelled by dividing both sides by 2:

[tex]x^2+y^2=4[/tex]

If you'd like, we can write this in the following way:

[tex](x-0)^2+(y-0)^2=2^2[/tex]

So, our circle is centered at the origin (0, 0) and has a radius of 2 units. The area of a circle is given by the formula:

[tex]A=\pi r^2[/tex]

[tex]A=\pi (2^2)=4\pi[/tex]

Determine the value of the angle.

Angle ADF=

Answers

Answer:

90 degree

Step-by-step explanation:

we can see that angle adf is a right angle which means it's value is 90 degree

Given the regular polygon ABCDEF with side lengths of 16 km, find the area of the shaded region. Round your answer to the nearest tenth.

Answers

The hexagon surface area is the amount of space on it

The surface area of the hexagon is 665.11 square centimeters

How to determine the surface area?

The question is incomplete, as the diagram is not given.

So, I will calculate the surface area of the hexagon.

The side length of the hexagon is given as:

L = 16 km

The surface area of the hexagon is calculated using:

A = 1.5[tex]\sqrt3[/tex]L^2

This gives

A = 1.5 * [tex]\sqrt3[/tex] * 16^2

Evaluate the product

A = 665.11

Hence, the surface area of the hexagon is 665.11 square centimeters

Read more about area at:

https://brainly.com/question/24487155

Which of the following are solutions to the inequality below? Select all that apply.

4 ≥
r

Answers

Answer:

r=1

Step-by-step explanation:

1 is lower than for. The sign also suggests that its could be 4 as well

Simplify
chapter name:rationalization of surds

Answers

[tex] \frac{ \sqrt{6} }{ \sqrt{2} \times \sqrt{2} } [/tex]

[tex] \frac{ \sqrt{6} }{2 \sqrt{2}} [/tex]

[tex]\frak{\fcolorbox{black}{pink}{Black Pink in your area$~$}}[/tex] ~←(>▽<)ノ

Answer:

Step-by-step explanation:

What is the domain of the function graphed below?

Answers

Answer:

The second option

Step-by-step explanation:

Hello!

The domain of a graph is the interval in which the graph is on the x values.

This graph has all the x values that are greater than or equal to -3, as the graph is to the right of it.

The answer would be the second option: [tex]D : x/x \geq -3[/tex]

The range is the y-values of the graph. The y value of this graph is above 0, so it would be y ≥ 0

Ex. 3 A printing press prints 120 sheets in 3 min . ( 1) Express the printing as a rate. ( 2) How many sheets are printed in 1 h? (3) How long will it take to print 1000 sheets?

Answers

Answer:

a 40 sheets/min

b 2400 sheets

c25mins

Step-by-step explanation:

a

120/3=40 sheets /min

b

40*60=2400

c

1000/40=25

Answer:

1) 40 sheets/minute 2) 2400 3) 25 minutes

Step-by-step explanation:

What are the period and amplitude
of the function?

period T; amplitude : 1.5

period T; amplitude
3

period : z; amplitude : 1.5
O period
~; amplitude : 3

Answers

Answer:

period is pie/2 and amplitude is 3

the meaning of amplitude is on the photo

Find the perimeter of each figure. 6 cm 2 cm 2 cm 6 cm

Answers

Answer:

That's not full question

Convert: 82 inches = _____ feet _____ inches


A. 27 feet 1 inch

B. 6 feet 10 inches

C. 6 feet 8 inches

D. 984 feet 0 inches

PLS ANSWER IF SURE

Answers

Answer:

B. 6 feet 10 inches

Step-by-step explanation:

82 inches = 6 feet 10 inches

1 ft = 12 inches

Divide 82 by 12 Quotient = 6 ftRemainder = 10 inches

-> 82 inches = 6 feet 10 inches

1 (5x-3x2-6)-(3x2-5x+7)

2 (2m2+7m+8) -(1-2m-2m2)

Answers

Answer:

#1 -6

#2 14

Step-by-step explanation:

#1 You would put 5x and then you would subtract it by 3 then you multiply it by 3×2 and your answer will be -6

#2 You would add 2 add 7 add 8 and then you would subtract 1 and subtract 2.and your answer 14

Calculate the constant difference
1,2,3

Answers

1

Step-by-step explanation:

Seeing its an arithmetic sequence

T1=1......T2=2.....T3=3

To get your constant difference

T2=T1 is also equals to T3=T2

so 3-2=1 and 2-1=1

therefore the constant difference is 1

Which measure of spread is least affected by the long tail in the
graph?
Vehicle A
>
0
1
2
2
3
5
6
0)
7
CO
9
4
Repairs per Vehicle
MAD
IQR
Range

Answers

Answer:

IQR

Step-by-step explanation:

I got it right :)

please help like i really need it

Answers

Answer:

145 degrees.

Step-by-step explanation:

It is 180 minus 35 because they always have to equal 180 so I subtracted 180 by 35

25% of z is 150. Find the value of z.
(Can y’all show your work on this so I know how you got it)

Answers

The answer is 600
25 x 4 =100
150 x 4 = 600
checking work
.25 x 600= 150

Answer:

z = 600

Step-by-step explanation:

Method 1 - ratios

If 150 is 25% then z is 100%:

[tex]\begin{aligned} 150 : 25 & = z : 100\\\dfrac{150}{25} & = \dfrac{z}{100}\\150 \cdot 100 & = 25z\\15000 & = 25z\\z & = \dfrac{15000}{25}\\z & = 600 \end{aligned}[/tex]

Method 2

Calculate the amount for 1%, then multiply by 100% to find z:

25% = 150

⇒ 1% = 150 ÷ 25 = 6

⇒ z = 100% = 6 x 100 = 600

help me, please??????

Answers

Answer:

B

Step-by-step explanation:

The slope of this function is obviously decreasing, and the point where it intersects the y axis, is (0,-2)

Answer B contains this information

Hope this helps!

Find the exact circumference of a circle with a diameter of 5 inches.

The circumference is
inches.

Answers

Answer:

15.7 in

Step-by-step explanation:

You can use the below formula to find the circumference of the circle.

C = π × d

Here,

d ⇒ diameter ⇒ 5 in

Let us find it now.

C = π d

C = 3.14 × 5

C = 15.7 in

Answer:

The exact diameter is 15.707963267948966192313216916398 inches multiplied by full form of pi.

________________________________________________________

Solve

Set C as your substitute for circumference.

[tex]C =[/tex]

Now that we have this, we need to assign a value of pi long form followed by the diameter, which is 5 inches².

[tex]C = \pi d[/tex]

[tex]d = 5[/tex]

Lastly, ignore C, and multiply pi by the diameter, d.

[tex]\pi * d = 15.707963267948966192313216916398[/tex] without rounding

________________________________________________________

Questions?

Ask in the comments box.

Find the area of each circle with the given radius or diameter. Use 3.14 for pi.

Answers

Answer: (Note*: Radius is half of the diameter, so the d = 2 and d = 12 have been converted into radius's instead to solve the problem).

r^2 = 4 in: 50.24 in^2.

r^2 = 2 in: 12.56 in^2.

d = 2 or r^2 = 1 in: 3.14 in^2.

r^2 = 8 in: 200.96 in^2.

d = 12 or r^2 = 6 in: 113.04 in^2.

Step-by-step explanation: To find the area of a circle, you need the radius squared times pi, which is 3.14.  The following is solved below:

4^2 x 3.14 = 50.24 in^2.

2^2 x 3.14 = 12.56 in^2.

1^2 x 3.14 = 3.14 in^2.

8^2 x 3.14 = 200.96 in^2.

6^2 x 3.14 = 113.04 in^2.

Therefore, the following above are the answers you need.

Let me know if this is right! :)

Answer:

r = 4.)  50.24

r = 2.) 12.56

d = 2.) 3.14

r = 8.) 200.96

d = 12.) 113.04

Step-by-step explanation:

The formula for finding the area of a circle would be π(pi) x r (radius)²

1.) r = 4

4 x 4 = 16

16 x 3.14 = 50.24

2.) r = 2

2 x 2 = 4

4 x 3.14 = 12.56

3.) d = 2

2 ÷ 2 = 1

1 x 1 = 1

1 x 3.14 = 3.14

4.) r = 8

8 x 8 = 64

64 x 3.14 = 200.96

5.) d = 12

12 ÷ 2 = 6

6 x 6 = 36

36 x 3.14 = 113.04

-kiniwih426

Do 5.8 and 5.08 have the same value? In a full sentence, explain why or why not?

Answers

Answer: 5.8 is correct

Step-by-step explanation: because 5.8 is bigger

Is the inequality below true or false, if m m+9 True
False

Answers

The answer should be true

Solve by factorising.
x² - 7x+10=0

Answers

Answer:

x²-7x+10=0
x²-5x-2x+10=0
x(x-5)-2(x-5)=0
(x-2)(x-5)=0 ANS!

Step-by-step explanation:

First we will multiply x² into 10, the answer will be 10x². Now, take L.C.M of 10, the L.C.M will be 5x2 or 2x5. Now we will make sure that:
2x x 5x=10x² while 5x+2x=7x. Now, we know that 7x is in negative so, we will change the signs and it will become x²-5x-2x+10=0. Now take common:
x(x-5)-2(x-5)=0. Now, write the common taken numbers first and then the other brackets in last i.e: (x-2)(x-5)=0

determine if - 2r + 6r^5 + sr is a polynomial or not. if it is a polynomial, state the type and degree of the polynomial​

Answers

The polynomial, - 2r + 6r^5 + sr is a trinomial.

The degree of the polynomial is 5.

What is a Polynomial?

A polynomial can be defined as an algebraic expression that consists of constants, variables, and positive exponents.

The degree of a polynomial is dependent on the highest exponent value carried by any of the terms. Also, the number of terms a polynomial has determines what type of polynomial it is.

Given the polynomial, - 2r + 6r^5 + sr:

It has three terms, therefore, it is a trinomial.

The degree of the polynomial is 5.

Learn more about polynomials on:

https://brainly.com/question/2833285

Please Help Me!
Milk is on sale for 40% off when it is normally $3.75 per gallon. How much will a gallon of milk cost?

The discounted price for milk is $_____(Round to the nearest cent.)

Answers

Answer:

$2.25 is the discounted price for each gallon.

Step-by-step explanation:

So you take 40% and convert it into decimal form, which is 0.4. Then you take $3.75 x 0.4 = 1.5. Then subtract $1.50 from $3.75, and that equals $2.25 each gallon.

Have a nice day!

Other Questions
why is the world referred as a whole house? You cannot skate hands with a clenched fist what does this quote mean? What healthy behavior does this quote tell you? can someone help me with this PLS Help, 20 points profit for you!!Write example sentences for direct object pronoun in Spanish. (Me, Te, Lo, La, Nos, Os, Los, Las). An amount P is deposited now so that an equal annual amount of A1=2000 per year for the first 5 years, starting 1year after the deposit. And a different annual withdrawal of A2= 3000 per year for the following 3 years. Draw the cash flow diagram if i=8.5% per year. Explain in paragraph form what taxes are and on what types of things we tax. 8 + X = 14 what does X equal to? iready help me pleeeaseeeee Alex ate 4 less the 2 times the slices of pizza that Oliver ate.If Oliver ate 8 slices of pizza how many slices did alex eat? Elaborate on the method used to extinguish each class of fire HELP PLEASEAre women rap acts like City Girls, Megan Thee Stallion, and Cardi B examples of modern-day flappers? Share your thoughts in an opinion article. Be sure to use examples from the text and/or their music to justify yourthinking What is meant by understanding ? What is the value of B? The general strategy for solving an equation of the form x/a= bis toA. divide both sides by aO B. divide both sides by bC. multiply both sides by aD. multiply both sides by bE. divide both sides by x A can of nacho cheese has a radius of 8 inches and a height of 4 inches. a can ofjalapeos has a radius of 4 inches. what is the height of the jalapeo can if bothcylinders have the same volume? (show your work.)(hint: start by finding the exact volume of the nacho cheese can.) Read the following sentence: Thomas did not like when his brother jumped out from behind the tree because it was very starling. In what way does this sentence over explain its meaning? A. The reader knows that Thomas and his brother have a complicated relationship. B. The reader knows that the brothers are outdoors because there are trees. C. The reader knows that Thomass brother often plays pranks like this one. D. The reader knows that jumping from behind a tree is likely to be startling. Type the correct answer in the box. Spell all words correctly.Which key function of a business involves finding, targeting, attracting, and connecting with the right customers?is one of the key functions of a business. It involves finding, targeting, attracting, and connecting with the right customers. Which is included in a lysogenic cycle? early lysis of the host cell the creation and assembly of viral particles the appearance of viral infection symptoms a period of genetic integration select all the expressions that equal 3 to the power of 4.A.7B.4 to the power of 3C.12D.81E.64F.9 to the power of 2 n the following sentence, is the word in bold letters an adjective or an adverb?A less-than-perfect score will not be acceptable. help?? its for calc please