if the population of a city is 158,000 and is
decreasing by 8% every year, what will the
population be in 5 years?

Answer:

1.7 = -0.7

1.1 = -2.1

1.4 = -1.4

Unsure about 0.7

0.8 = 1.7

1.9 (unsure about both)

1.1 = -0.9

Step-by-step explanation:

Hope this helps :)))

The regression line is not a good model because the residuals are not randomly distributed.

For a residual plot to represent a good model, the points on the residual plot must be randomly distributed across the coordinates.

From a regression, the residual is the difference between the observed values and the predicted values.  

Using the graph, we can see that the points that follow a pattern (or curve) regression line is not a good model because the residuals are not randomly distributed.

Read more about residual plots at:

brainly.com/question/16180255

#SPJ2

Answer:

1/12 + 3/12 = 4/12 (or 1/3)

Step-by-step explanation:

we want to express

1/12 + 1/4 as 1/12 + something / 12

1/12 + 1/4 = 1/12 + something/12

we already have the 1/12 part, so we're left with

1/4 = something / 12

first, we can calculate (denominator we want) / (denominator we have) = 12/4 = 3

then, we want to multiply our current value (1/4) by our result of the multiplication divided by itself.

3/3 = 1

1/4 = 1/4 * 1 = 1/4 * 3/3 = 3/12

thus, our second value is 3/12

we then have 1/12 + 3/12

if we have the same denominators, we can simply add the numerators up

1/12 + 3/12 = (1+3)/12 = 4/12

Answer:

Step-by-step explanation:

Let's start with some conversions

Remember that when you go to the negative side of the reals, the number that looks like it should be the largest, when negative is the smallest.

Answers

The smallest number of these three is -10.909

The second smallest is -10.777... repeat

The third smallest is -√113 which is -10.6301

The Largest one of the four is 10.7

Answer:

Ex1. SAS, ASA, SSS, SAS

Ex2. There are 2 heights and equal length

Dtu =uts and ut common side du=us

Rq=sd and sq common side rs=qd

Range for Arnold: 18; IQR: 12

Range for Jackson: 20; IQR: 13

Jackson's had the greatest spread.

Arnold's middle 50% had the least spread

Range = Maximum value - minimum value

Interquartile range (IQR) = Q3 - Q1

Range and IQR are both measures of variability. The larger the value, the more spread the data values in a data set are.

Range for Arnold's training times = 102 - 84 = 18

Range for Jackson's training times = 103 - 83 = 20

Therefore, Jackson's training times had the greatest spread.

Interquartile range for Arnold's training times = Q3 - Q1 = 99 - 87 = 12

Interquartile range for Jackson's training times = Q3 - Q1 = 100 - 87 = 13

Thus, Arnold's middle 50% of his training times had the least spread.

The range and interquartile range tells us that, Arnold's training times are more consistent than Jackson's.

Learn more about range and interquartile range on:

https://brainly.com/question/4102829

#SPJ1

Answer:

r=4/63

Step-by-step explanation:

Divide each term in 9r=47 by 9 and simplify.

Answer:

[tex]r=\frac{4}{63}[/tex]

Step-by-step explanation:

1) Divide both sides by the same factor

[tex]9r=\frac{4}{7}[/tex]

[tex]\frac{9r}{9} =\frac{\frac{4}{7} }{9}[/tex]

2) Simplify

[tex]\frac{9r}{9} =\frac{\frac{4}{7} }{9}[/tex]

[tex]r=\frac{\frac{4}{7} }{9}[/tex]

[tex]r=\frac{\frac{4}{7} }{9}[/tex]

[tex]r=\frac{4}{63}[/tex]

Answer: 1575

Step-by-step explanation:

Volume of Pyramid: b*l*h/2 = 21*9*7/3 = 441

Volume of Rectangular prism = V= lwh = (21*12*9)/2 = 1134 (divide by two because it is half of a rectangular prism)

441 + 1134 = 1575

Answer:

y = -x + 3

Step-by-step explanation:

1. Substitute "y = -x + 3" in for y in the second expression:

2x + 2(-x + 3) = 6

2. Simplify:

2x + (-2x) + 6 = 6

0 + 6 = 6

6 = 6

Because the values are equal, the solution of y = -x + 3 is a valid input.

hope this helps!

Answer:

Answer to the first equasion is y=2: 2=-1+3

Step-by-step explanation:

y=-x+3  (x=1)

      -3      y=-x

                   -3=2

2=-1+3

y=2

Hope this helps and makes sence

Answer:

area of triangle base ×height over 2= 10km×9.4 over 2

area rectangle l×w =10×10

Answer:

how i do it:

break the entire figure up into simple shapes ( there should be 4 separate figures once you do this )

find the missing / needed side lengths using the information already provided

multiply to get the area of each figure

add them all up

Answer:

-50

Step-by-step explanation:

42+=x-2x-8

42=-x-8

(add 8 to both sides)

50=-x

(divide by negative 1)

-50=x

Answer:

(A)

(1) NO

(2) YES

(B)

(3) YES

(4) NO

(5) YES

Step-by-step explanation:

According to the triangle sum theorem, the three interior angles of any triangle add up to 180 degrees. So, if we add up the three angles given, to be a triangle, they have to add up to 180 degrees.

38 + 42 + 110 = 190

So, ( (1)  38, 42, 110 ) is not a triangle becuase it adds up to more than 180 degrees (1).

20 + 40 + 120 = 180

So, ( (2)  38, 42, 110 ) is a triangle because it adds up to 180 degrees (2).

For the lengths for a triangle, the length of one side of a triangle must be greater than the difference and less than the sum of the lengths of the other two sides. This is saying:

A-B < C

A+B > C

So to find if they can be, simply plug in the values.

(3)

4-3 < 3

True : 1 < 3

4+3 > 3

True : 7 > 3

(3) is a triangle.

(4)

3-2 < 5

True : 1 < 5

3+2 > 5

False : 5 > 5

(4) is not a triangle

(5)

5-2.5 < 4

True : 2.5 < 4

5+2.5 > 4

True : 7.5 > 4

(5) is a triangle

Answer:

6.5

Step-by-step explanation:

Answer: 10 times larger

Step-by-step explanation:

Answer:

it says 20% under the math part

The amount of square yards of fabric that Margo used to make each dress is; 1.5 sq. yds

We are told that;

Last year, she used 78 yd² to make 52 dresses

We are told that she used the same amount of square yards for each dress.

Thus, to find the  square yards of fabric that Margo used to make each dress, we just divide 52 by 78.

Square yards used for each fabric = 78/52 = 1.5 sq. yds

Read more about Algebra problems at; https://brainly.com/question/723406

#SPJ1

Answer:

8.4

Step-by-step explanation:

76 ÷ 9 = 8.44444444

= 8.4 (rounded)

hope this helps!

Answer:

Step-by-step explanation:

Solving system of symultaneous equation:

Let the cost of one roll of plain wrapping pair = x

Let the cost of one shiny wrapping paper = y

Amanda:

   Cost of 3 rolls of plain paper + cost of 3 rolls of shiny paper = $ 60

3*x + 3*y = 60

3x + 3y = 60 ------------------(I)

Molly:

 Cost of 1 roll of plain paper + cost of 9 rolls of shiny paper = $ 132

  x + 9y = 132 ---------------------(II)

         x  = 132 - 9y ---------------(III)

Substitute x = 132 -9y in equation (I)

  3*(132-9y) + 3y = 60

3*132 - 3*9y + 3y = 60

    396 - 27y + 3y = 60

         Combine like terms

            396 - 24y  = 60

       Subtract 396 from both sides

                  -24y  =  60 - 396

                  -24y   = -336

        Divide both sides by (-24)

                      y   = -336/(-24)

[tex]\sf \boxed{y=14}[/tex]

Now, substitue y = 14 in equation (III)

x = 132 - 9*14

    = 132 - 126

[tex]\sf \boxed{x = 6}[/tex]

cost of one roll of plain wrapping paper = $ 6

Cost of one roll of shiny wrapping paper = $ 14

Answer:

I believe it is 1/9 or 11.1%

Step-by-step explanation:

11/99 /(divided by) 11 = 1/9

1/9 converted to a decimal is 0.1 (it's repeating- I am not sure how to do that on brainly w/ the fancy - over it, so it's 0.111111111...)

so as a percent, it makes it 11.1% (repeating) or 11 [tex]\frac{1}{9}[/tex]% (which is a more exact solution)

now if you need a ratio, it would be 1:9

hope this helps :)

Answer:

150 cm²

Step-by-step explanation:

Given

Solving

Applying the theorem

Area of the triangle

Answer:

27.7 [tex]in^2[/tex]

Step-by-step explanation:

Find length of missing side:

11^2-6^2 = x^2

85=x^2

x = [tex]\sqrt{85}[/tex]

x = 9.22

9.22*6 / 2 = 27.66

Round to tenth:

27.7

An expression has numbers, variables, and mathematical operations. The expression that is equivalent to (144a¹²b³)⁰°⁷⁵ is 2a³(9b³)⁰°⁷⁵.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The expression that is equivalent to [tex]\sqrt[4]{144a^{12}b^3}[/tex], this can be done in the following manner,

[tex]\sqrt[4]{144a^{12}b^3}\\\\= \sqrt[4]{2^4 \times 3^2 \times a^{12} \times b^3}\\\\= (2^4 \times 3^2 \times a^{12} \times b^3)^{\frac14}\\\\= 2^{(\frac14 \times 4)} \times 3^{(\frac14 \times 2)} \times a^{(\frac14 \times 12)} \times b^{(\frac14 \times 3)}\\\\= 2 \times 3^{(\frac12)} \times a^{3} \times b^{(\frac34)}\\\\[/tex]

[tex]= 2\times a^{3} \times 3^{(\frac12 \times \frac22)} \times b^{(\frac34)}\\\\= 2\times a^{3} \times 3^{(\frac24)} \times b^{(\frac34)}\\\\= 2\times a^{3} \times 9^{(\frac14)} \times b^{3(\frac14)}\\\\= 2\times a^{3} \times (9b^{3(\frac14)})\\\\=2a^3 \sqrt[4]{9b^3}[/tex]

Thus, The expression that is equivalent to (144a¹²b³)⁰°⁷⁵ is 2a³(9b³)⁰°⁷⁵.

Learn more about Expression:

https://brainly.com/question/13947055

Answer:

its a

Step-by-step explanation:

on edge 2022

Answer:

Answer C

Step-by-step explanation:

The rules of logarithmic functions require the two log functions to have the same base. If they do not have the same base, you cannot apply any of the rules.

Answer:

Last option

Step-by-step explanation:

They need same base inorder to apply any property

Like

The mean absolute deviation of the given scores of Robin as shown in the diagram atatched is: 5.2.

The mean absolute deviation of a data set is determined by finding the average of the distance of each data point from the mean of the data set.

Given that the distance from the mean are: 8, 1, 5, 0, 12,

Mean absolute deviation = (8 + 1 + 5 + 0 + 12)/5

Mean absolute deviation = 26/5

Mean absolute deviation = 5.2.

Learn more about mean absolute deviation on:

https://brainly.com/question/447169

The volume of the rectangular prism filled with unit cubes each measuring the value of the length given is 72ft³.

Hence, Option D) 72ft³ is the correct answer.

A rectangular prism is simply a three-dimensional solid shape with six faces which are rectangles.

The volume of a rectangular prism is expressed as;

V = l × w × h

Where l is length, w is width and h is height of the prism

A cube is a three-dimensional solid with six equal square-shaped sides.  

Given the data in the question;

To determine the volume of the rectangular prism, we substitute our given values into the expression above.

V = l × w × h

V = 4ft × 3ft × 6ft

V = 72ft³

Option D) 72ft³ is the correct answer.

Hence, the volume of the rectangular prism filled with unit cubes each measuring the value of the length given is 72ft³.

Answer:

Area = Width * Length

Step-by-step explanation:

This is the formula for a rectangle. If you plug in the values that were givin to you, the answer is 6 units^2.