Consider the linear equation y = 5x – 4.
1. Provide 3 ordered pairs that are solutions to this linear
equation.
2. Test the point (-5, -29) to see if it is a solution to the
linear equation.
Be sure to show all work.

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

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.

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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

Answer:

I  think i'm wrong i think it is C

Step-by-step explanation:

Answer:

50.24

Step-by-step explanation:

8/2 = 4

3.14 x 4^2 = 50.24

Answer:

135

Step-by-step explanation:

Use formula b(h) which is 9x15 and get 135

Answer:h=120 - (120•1/4)

Step-by-step explanation:

Answer:

43.98229 ft

Step-by-step explanation:

The diameter is 14ft, meaning the radius, which is half of it, is 7ft. Plug 7 into the r. C= 2pi(7) which 14pi. Now you multiply 14 by 3.14, which is the value of pi, and round it to whatever you need to give you your value.

The value of circumference of this circle is,

⇒ circumference = 14π ft

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Diameter = 14 ft

Hence, We get;

Radius = 7 ft

Thus, The value of circumference of this circle is,

⇒ circumference = 2πr

⇒ circumference = 2 × π × 7

⇒ circumference = 14π ft

Thus, The value of circumference of this circle is,

⇒ circumference = 14π ft

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The formula for an inverse proportion, knowing that its graph goes through the point: C(-25, -0.2) is y=5/x.

Let m and n are two variables.

Then m and n are said to be inversely proportional to each other if

[tex]m = \dfrac{c}{n} \\\\ \text{or} \\\\ n = \dfrac{c}{m}[/tex]

(both are equal)

where c is a constant number called constant of proportionality.

This inversely proportional relationship is denoted by

[tex]m \propto \dfrac{1}{n} \\\\ \text{or} \\\\n \propto \dfrac{1}{m}[/tex]

As visible, increasing one variable will decrease the other variable if both are inversely proportional.

The formula for the inverse function is given as,

[tex]y=\dfrac{c}{x}[/tex]

Here, c is constant.

The graph goes through the point: C(-25, -0.2). For the inverse function.

[tex]-25\propto\dfrac{1}{-0.2}\\-25=\dfrac{c}{-0.2}\\c=-25\times-0.2\\c=5[/tex]

Put the value in the above function,

[tex]y=\dfrac{5}{x}[/tex]

This is the required function.

Hence, the formula for an inverse proportion, knowing that its graph goes through the point: C(-25, -0.2) is y=5/x.

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The lateral area of the triangular prism is: 720 in.²

The surface area of the triangular prism is:  840 in.²

Lateral area of a triangular prism (AL) = (a+b+c)h

Surface area of a triangular prism (SA) = (Perimeter of the base × Length of the prism) + (2 × Base Area) = (S1 + S2+ S3)L + bh

a. Lateral area of a triangular prism:

Lateral area of triangular prism (AL) = (8 + 15 + 17)18 = 720 in.²

b. Surface area of a triangular prism:

Surface area of triangular prism (SA): (S1 + S2+ S3)L + bh = (8 + 15 + 17)18 + (8)(15) = 840 in.²

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Answer:

the robot can travel 26 feet in 3 minutes

Step-by-step explanation:

The robot goes 11 feet per minute and 11 x 3 equals 33 which is more than 26.   33 < 26

Answer:

y= 4 - 2/3 x, x= x

Step-by-step explanation: Substitute y=4 -2/3x  [2x=12-3 (4-2/3x)]

Simplify: [2x=2x]

For y = 4- 2/3x

Expressing y in terms of x: y= 4 -2/3x

So the solutions to the system of Equations are: y = 4 - 2/3 x, x = x

Answer:            23,187 x 2/3 < 23187     is the answer

Step-by-step explanation:  

Answer:

21120 Feet

6.437376 Kilometer

Step-by-step explanation:

Looked it up

Answer:

7040 yd and 21120 ft

Step-by-step explanation:

1 mile = 1760 yards

1 yard = 3 feet

4*1760=7040 yards per day

7040*3=21120 feet per day

Answer:

Step-by-step explanation:

g( x ) = f ( x + 2 )

g(x) = ( x + 2 )² - 6 ( x + 2 )

g(x) = x² + 4x + 4 - 6x - 12

g(x) = x² - 2x - 8

Answer:x=-15

Step-by-step explanation:

2x+35-5=0

-35 +5. -35 +5

2x=-30

/2 /2

X=-15

Answer:

880 brown loaves

Step-by-step explanation:

Create a ratio of brown loaves to total loaves by adding the the current ratio, 4:5 together.

4 + 5 = 9.

Now create the new ration of brown loaves to total loaves.

5:9

Next make a proportion using brown (numerator) to total (denominator).

Then cross multiply and divide.

[tex]\frac{5}{9} = \frac{b}{1584}[/tex]

[tex]9b = 7920\\\frac{9b}{9} =\frac{7920}{9} \\b=880[/tex]

Answer:

And the answer may be 3/8 and 11/8 (among an infinite amount of different rational numbers less than 188 of the actual side length), as shwon below.

Explanation:

1) Calculate the side length of the bulletin board in the shape of a square:

The area of a square is equal to the square of length of the sides

A = x²

Substitute A = 150 unit²

150 = x²

Extract square root of both sides:

2) Find two rational numbers that are within, this is they are less than, 1/8 of the actual side length:    

Since, 12² = 144 and 13² = 169, the square root of 150 is between 12 and 13.

Then, you can pick any two whole numbers less than 13 and multiple them by 1/8.

Remember that multiplying by 1/8 is the same that dividing by 8.

Choose 12 and 11, for instance, and two rational numbers that are less than 1/8 of the actual side length are 12/8 and 11/8.

12/8 can be simplified to 3/2 and 11/8 is in its simplest form.

Thus, two rational numbers that are within 1/8 of the actual side length of the bulletin board are 3/2 and 11/8.

Step-by-step explanation:

hope this helps if does mark brainllest pls! :)

Area:-150sq units

Now

Now

So

new side length:-

Answer:

|x - 8| = 6

Step-by-step explanation:

   |x - b| = c

⇒ (x - b)² = c²

Given:

Substitute the values of x into (x - b)² = c²:

(2 - b)² = c²

(14 - b)² = c²

Equate and solve for b:

(2 - b)² = (14 - b)²

⇒ 4 - 4b + b² = 196 - 28b + b²

⇒ 4 - 4b = 196 - 28b

⇒ 24b = 192

⇒ b = 8

Substitute b = 8 into the equations to find c:

x = 2 ⇒ |2 - 8| = 6

x = 14 ⇒ |14 - 8| = 6

Therefore, c = 6

Final equation:  |x - 8| = 6

Answer:

See below

Step-by-step explanation:

A binomial distribution has the value of x representing the number of successes in n​ trials, while a geometric distribution has the value of x representing the first trial that results in a success.

Answer:

400/500 people do not wear glasses.

Step-by-step explanation:

There are a total of 500 people, 100 of those people wear glasses. 500-100=400. Therefore, 400 people do not wear glasses out of the 500 people.

Answer:

500/500-100/500=400/500

I believe it is

Answer:

See below

Step-by-step explanation:

8.2 + 2/3w  = 10.7 + 1/6 w

   1/2 w    = 2.5

      w = 5 weeks

Answer:

9 ft.

Step-by-step explanation:

Rectangular Prism’s Volume:

[tex]\displaystyle \large{V=\sf{width*length*height}}[/tex]

Given:

width = 2.1 ft

length = 4 ft

height = j

volume = 75.6 cubic feet

Therefore, apply given information in the formula:

[tex]\displaystyle \large{75.6=2.1*4*j}\\\displaystyle \large{75.6=8.4j}[/tex]

Divide both sides by 8.4 to solve for j.

[tex]\displaystyle \large{\dfrac{75.6}{8.4}=\dfrac{8.4j}{8.4}}\\\displaystyle \large{\dfrac{75.6}{8.4}=j}\\\therefore \displaystyle \large{j=9}[/tex]

Henceforth, the value of j is 9 feet.

Answer:

i think that the correct answer would be A or C

Step-by-step explanation:

hope this helps

sorry if the answers that i gave you is incorrect

Answer:

2nd option

Step-by-step explanation:

the nth term of a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

here a₁ = 64 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{32}{64}[/tex] = [tex]\frac{1}{2}[/tex] , then

[tex]a_{n}[/tex] = 64 [tex](\frac{1}{2}) ^{n-1}[/tex]

Answer:

18

Step-by-step explanation:
given that the eggs cost 16ct in 1990 and 22ct in 1992 you can calculate

16ct+2ct=18ct and 22ct-4ct=18ct

see this vid for full explanation

the two tanks wi equal 64

x=64

Answer:

w = 64 weeks

Step-by-step explanation:

From the information, we have two equations that we will need to set equal to each other to find the number of weeks, w,  it takes for both tanks to hold the same amount:  

[tex]-3w+256=-5w+384\\(-3w+256=-5w+384)-256\\(-3w=-5w+128)+5w\\(2w=128) /2\\w=64[/tex]

Answer:

i think its 100feet away when u look 20°

Answer:

130.5 mi sq

Triangle: A = bh/2

A = ((21 - 12) x (3))/2

A = (9 x 3)/2 = 13.5 mi sq

Middle rectangle: A = bh

A = (6 + 3)(15 - 3)

A = (9)(12) = 108 mi sq

Last rectangle: A = bh

A = 3 x 3 = 9 mi sq

TOTAL: 13.5 + 108 + 9 = 130.5 miles sq

Have a good night!