If u answer this i will give your answer a like and help with anything u need!

The type of model that best fits the situation of a $500 raise in salary each year is a linear model.

In a linear model, the dependent variable changes a constant amount for constant increments of the independent variable.

In the given case, the dependent variable is the salary and the independent variable is the year.

You may build a table to show that for increments of 1 year the increments of the salary is $500:

Year         Salary        Change in year         Change in salary

2010           A                           -                                       -

2011           A + 500     2011 - 2010 = 1          A + 500 - 500 = 500

2012          A + 1,000   2012 - 2011 = 1          A + 1,000 - (A + 500) = 500

So, you can see that every year the salary increases the same amount ($500).

In general, a linear model is represented by the general equation y = mx + b, where x is the change of y per unit change of x, and b is the initial value (y-intercept).              

In this case, m = $500 and b is the starting salary: y = 500x + b.

Answer:

Suppose that we have two line segments, AB and CD. We know that they have the same length.

I know that AB¯¯¯¯¯¯¯¯=CD¯¯¯¯¯¯¯¯ means AB is identical to CD (aka. They are the same lines), and also that AB¯¯¯¯¯¯¯¯≅CD¯¯¯¯¯¯¯¯ means that AB and CD have the same size, but what does AB=CD mean?

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

** For some reason, it won't let me add the first sentence, as it thinks there are swearwords??  So I have taken a screenshot and attached it.**

Now we just have to solve to find \(C\)

        \(F'=F+1\)

\(2C+30=\frac{9}{5} C+32+1\)

       \(\frac{1}{5} C=3\)

        \(C=15\)

To confirm, substitute \(C = 15\) into:

\(F=\frac{9}{5} \times 15 + 32 = 59\)

\(F'=2 \times 15 + 30 = 60\)

So when \(C=15\), \(F'\) is one more than \(F\).

29 years from now, the father will be 49 years old.

Let's start by setting up the given information:

Currently, the father is 20 years old, and the son is 5 years old.

In 10 years, the father will be twice as old as the son.

The father is currently four times as old as the son.

Determine the age of the father and son in 10 years:

In 10 years, the father's age will be 20 + 10 = 30 years.

In 10 years, the son's age will be 5 + 10 = 15 years.

Write equations based on the given information:

The father's age in 10 years will be twice the son's age in 10 years: 30 = 2 × 15.

The father's current age is four times the son's current age: 20 = 4 × 5.

Solve the equations:

From the second equation, we find that the son's current age is 5 years.

Plugging this value into the first equation, we get: 30 = 2 × (5 + 10).

Simplifying further, we have: 30 = 2 × 15, which is true.

Determine the current age of the son in 29 years:

The son's current age is 5 years.

Adding 29 years to the son's current age, we find that the son will be 5 + 29 = 34 years old.

Determine the current age of the father in 29 years:

The father's current age is 20 years.

Adding 29 years to the father's current age, we find that the father will be 20 + 29 = 49 years old.

Therefore, 29 years from now, the father will be 49 years old.

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Answer:

440

Step-by-step explanation:

yo yo yo me know if I say yes or no

By using the coordinates of the labeled point, the point-slope equation of the line include the following: D. y + 5 = -3(x - 3)

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

0 5 2 -2

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (4 + 5)/(0 - 3)

Slope (m) = -9/3

Slope (m) = -3

At data point (3, -5) and a slope of -3, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - (-5) = 3(x - 3)  

y + 5 = -3(x - 3)

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The line of reflection of the given image is:

A reflection across y = -3

A line of reflection is a line that lies between two identical mirror images, so the distance of any point of one figure from the line will equal the distance of the same point of the mirror image (flipped figure).

The definition above tells us that if we are given two images, such as mirror images of each other, the line of reflection can be determined by calculating the midpoint from any two points of the figures.

Looking at the given image, the center point of the mirror images is seen as y = -3

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9514 1404 393

Answer:

  (C)  angles A and B and those corresponding

Step-by-step explanation:

If sides are used to show similarity, at least two sides from each triangle are required. If only two sides are used, then the angle between them must also be shown to be congruent.

A -- has 2 sides, but no angles; (SS) not sufficient

B -- has 2 sides but not the angle between; (SSA) not sufficient

C -- has 2 angles; (AA) sufficient

D -- effectively, one angle; (A) not sufficient

The measures of the non-right angles of each triangle are 40 degrees and 50 degrees.

The sum of the interior angles of a regular 18-gon can be found using the formula:

S = (n - 2) × 180 degrees

n is the number of sides of the polygon.

Substituting n = 18 we get:

S = (18 - 2) × 180 degrees

= 2880 degrees

The 18-gon into 36 right triangles need to draw 18 lines from the center of the polygon to its vertices dividing the polygon into 36 congruent sectors each with a central angle of 360 degrees / 18 = 20 degrees.

Each sector is an isosceles triangle with two sides of equal length radiating from the center of the polygon.

The vertex angle of each isosceles triangle is equal to twice the central angle or 40 degrees.

Since the vertex angle of a right triangle is 90 degrees the two non-right angles of each right triangle are 40 degrees and 50 degrees.

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Answer:  Therefore, at the start of the game, Peter had 80 marbles and Jack had 80 marbles.

Step-by-step explanation:

Generally, it is better to use a Line Graph if your raw data includes non-numeric values. If your raw data only has numeric values, use a Scatter Plot. You can use a Line Graph if you want to label your horizontal axis with text labels. These labels can represent evenly spaced values as days, weeks, and years.

the correct option is D:

" The inverse relation must pass the vertical line test."

Remember that a relation is only a function if each value in the domain is only mapped into a single value in the range.

All functions need to pass what is called the "vertical line test" this means that if you draw a vertical line on the graph of the function, the vertical line can intersect the graph at most one time. If the vertical line intercepts the graph two or more times, then it is not a function.

From this we conclude that the correct option is D:

" The inverse relation must pass the vertical line test."

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Answer:

HOLA MATE HERE IS UR ANSWER:-

Step-by-step explanation:

Given:

Length of a cube is 2 cm

To Find:

Surface area of the cube

Solution:

A cube consists of 6 faces.

The area of each face = side x side

So, the total surface area of a cube = 6 x

side x side

Let a be the length of the given cube

: Surface area of a cube = 6a square

a = 2 cm (Given)

Surface area of cube = 6 x 22 =(6 x 4) = 24 cm square.

Hence, the surface area of the given

cube is 24cm square.

Hope it helps!

Answer:

Fraction of Book Dillon Read on Monday and Tuesday is \(\mathbf{\frac{3}{5} }\)

Step-by-step explanation:

Dillon read book on Monday = \(\frac{1}{5}\)

Dillon read book on Tuesday = \(\frac{2}{5}\)

We need to find fraction of the book did he read on Monday and Tuesday

So, Fraction of Book Dillon Read on Monday and Tuesday= Book read on Monday + Book read on Tuesday

Fraction of Book Dillon Read on Monday and Tuesday= \(\frac{1}{5}+\frac{2}{5}\)

\(=\frac{1+2}{5} \ (Taking \ LCM \ of \ 5 \ and \ 5 \ we \ get \ 5) \\=\frac{3}{5}\)

So, Fraction of Book Dillon Read on Monday and Tuesday is \(\mathbf{\frac{3}{5} }\)

We substitute -1+1/6y for x in the second equation (bottom equation) in order to solve the system by the substitution method.

The given system of equations are 2x-1/3y = -2...(1)

3x+y=1...(2)

We solve this system of equations by using substitution method.

Let us solve for x in equation to substitute it in equation (2).

2x=-2+1/3y

Divide both sides of equation by 2.

x=-1+1/6y

Now plug in the value of x in equation 2.

Hence, we substitute -1+1/6y for x in the second equation (bottom equation) in order to solve the system by the substitution method.

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Answer:

he got some diabetes but the answer is looking it up   o-o

Step-by-step explanation:

The functions that have a range of all real numbers include the following:

Option 1; f(x) = -x + 2

Option 3; \(h(x) = 2^x +1\)

In Mathematics and Geometry, a range can be defined as the set of all real numbers that connects with the elements of a domain.

Additionally, the vertical extent of any graph of a function represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.

By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following range for f(x) and h(x):

Range = {-∞, ∞}, y|y ∈ R, or all real numbers.

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Answer: 1,200.65+ 985.43+ 1,200.23= 3,386.31

Step-by-step explanation:

Answer:

If the diameter of the circle increases to 60 inches, the new area would be approximately 2700 square inches.

Answer:

10 dollars

Step-by-step explanation:

5 + 5

1. 84 is 60% of what number = 140

2.what number is 65%of 98 =63.7

3.Find 39% of 65= 25.35

4.Find 24% of 25 = 6

5.what number is 53%of 470 = 249.1

\(\tan(y )=\cfrac{\stackrel{opposite}{6}}{\underset{adjacent}{4}} \implies \tan( y )= \cfrac{3}{2} \implies \tan^{-1}(~~\tan( y )~~) =\tan^{-1}\left( \cfrac{3}{2} \right) \\\\\\ y =\tan^{-1}\left( \cfrac{3}{2} \right)\implies y \approx 56.31^o \\\\[-0.35em] ~\dotfill\\\\ \tan(x )=\cfrac{\stackrel{opposite}{4}}{\underset{adjacent}{6}} \implies \tan( x )= \cfrac{2}{3} \implies \tan^{-1}(~~\tan( x )~~) =\tan^{-1}\left( \cfrac{2}{3} \right) \\\\\\ x =\tan^{-1}\left( \cfrac{2}{3} \right)\implies x \approx 33.69^o\)

Make sure your calculator is in Degree mode.

Answer:

Multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36.

Multiples of 4 are 4, 8, 12, 16, 20, 24, 28, 32, 36

Multiples of 6 6, 12, 18 , 24 , 30, 36 , 42 , 48, 54, 60

But the first two common multiples of 3, 4, and 6 are,

3: 6, 9

4 : 8,12

6 : 12, 18

Answer:

12 and 24

Step-by-step explanation:

Answer : 165/2

To do this, we just have to add 82 and 1/2. However, the question asks for an improper fraction, so we turn 82 into 164/2. Now, we add 1/2 to 165/2 which equals 164+1/2 = 165/2.

Answer:

D) 3 i

    \(\frac{Z_{1} }{Z_{2} } = 3 i\)

Step-by-step explanation:

Step(i):-

Given  Z₁ = 9 Cis ( 5π/6) = 9 ( Cos (5π/6) +i Sin (5π/6))

          Z₂ = 3 Cis ( π/3) = 3 ( Cos (π/3) +i Sin (π/3))

  Now  Cos (5π/6) = cos (150°) = cos(90°+60°)   = -sin 60 = \(\frac{-\sqrt{3} }{2}\)

           Sin (5π/6) = Sin (150°) = Sin(90°+60°)   = Cos 60 = \(\frac{1 }{2}\)

    Z₁  = 9 ( Cos (5π/6) +i Sin (5π/6))

          \(= 9(\frac{-\sqrt{3} }{2} + i\frac{1}{2} )\)

   Z₂ = 3 ( Cos (π/3) +i Sin (π/3))    

       \(= 3(\frac{1 }{2} + i\frac{\sqrt{3} }{2} )\)

Step(ii):-

\(\frac{Z_{1} }{Z_{2} } = \frac{ 9(\frac{-\sqrt{3} }{2} + i\frac{1}{2} )}{3(\frac{1 }{2} + i\frac{\sqrt{3} }{2} )}\)

\(\frac{Z_{1} }{Z_{2} } =\frac{3 (-\sqrt{3}+i) }{1+i\sqrt{3}) }\)

Rationalize with 1 - i √3 and we get

\(\frac{Z_{1} }{Z_{2} } =\frac{3 (-\sqrt{3}+i) }{1+i\sqrt{3}) } X\frac{1-i\sqrt{3} }{1-i\sqrt{3} }\)

on simplification , we will use formulas

i² = -1 and    (a+b)(a-b) = a² - b²

\(\frac{Z_{1} }{Z_{2} } =\frac{3(-\sqrt{3} + 3 i + i +\sqrt{3} )}{1 - i^{2} (\sqrt{3} )}\)

\(\frac{Z_{1} }{Z_{2} } =\frac{3(4 i )}{1 - i^{2} (\sqrt{3} )^{2} }\)

\(\frac{Z_{1} }{Z_{2} } =\frac{3(4 i )}{1 - i^{2} (\sqrt{3} )^{2} } = \frac{3(4 i)}{1-(-3)}= \frac{3(4 i)}{4}\)

\(\frac{Z_{1} }{Z_{2} } = 3 i\)

Final answer:-

\(\frac{Z_{1} }{Z_{2} } = 3 i\)

Answer: D. 3i

Step-by-step explanation: I got this right on Edmentum.

Answer:

A

   The  correct option is B

B

   \(t = 0.6093\)

C

 \(p-value = 0.27116\)

D

The  correct option is  D

Step-by-step explanation:

From the question we are told that

    The  sample size is  \(n = 232\)

    The  number that developed  nausea  is X =  50

    The population proportion is  p  =  0.20  

The  null hypothesis is   \(H_o : p = 0.20\)

The  alternative hypothesis is  \(H_a : p > 0.20\)

Generally the sample proportion is mathematically represented as

     \(\r p = \frac{50}{232}\)

     \(\r p = 0.216\)

Generally the test statistics is mathematically represented as

 =>           \(t = \frac{\r p - p }{ \sqrt{ \frac{p(1- p )}{n} } }\)

=>           \(t = \frac{ 0.216 - 0.20 }{ \sqrt{ \frac{ 0.20 (1- 0.20 )}{ 232} } }\)

=>        \(t = 0.6093\)

The  p-value obtained from the z-table is

       \(p-value = P(Z > 0.6093) = 0.27116\)

  Given that the  \(p-value > \alpha\)  then we fail to reject the null hypothesis