The number of cars in a number of cities shows a positive correlation to the population of the respective city. Can it be inferred that an increase of cars in a city leads to an increase in the population?

Answer: Corresponding angles

Step-by-step explanation: The answer is corresponding angles or "corresponding internal angles" form when two jointed sides or adjacent sides of a triangle meet. Look in the attachment below to see a picture showing the example of corresponding angles.

Answer:

F(x)= x +10 (Cus when x is 0, Function is 10)

Answer:

y=x+10

Step-by-step explanation:

You first need to find the y intercept using the coordinates where x equal 0. Then you can figure slope by solving for m when you plug in the other points.

[tex](\stackrel{x_1}{-3}~,~\stackrel{y_1}{-4})\qquad (\stackrel{x_2}{-4}~,~\stackrel{y_2}{-6}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-6}-\stackrel{y1}{(-4)}}}{\underset{run} {\underset{x_2}{-4}-\underset{x_1}{(-3)}}} \implies \cfrac{-6 +4}{-4 +3} \implies \cfrac{ -2 }{ -1 } \implies 2[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-4)}=\stackrel{m}{ 2}(x-\stackrel{x_1}{(-3)}) \implies y +4 = 2 ( x +3) \\\\\\ y+4=2x+6\implies {\Large \begin{array}{llll} y=2x+2 \end{array}}[/tex]

Answer:

Step-by-step explanation:

hard

area of triangle = (b × h) ÷ 2

where b is the base so (g - 8)m,

h is the height so (g - 11)m

and area is 35

35 = (g - 11) × (g - 8) /2

35 = g² - 19g + 88 / 2

35 = 1/2g² - 19/2g + 44

1/2g² - 19/2g + 9 = 0

use the quadratic formula to find the two values of g and you will get:

g = 18 and g = 1

if we use g as 1 we will get negative metres for the values for the base and height so we use g = 18 instead!

base = (18) - 8

= 10m

height = (18) - 11

= 7m

The proportional or not proportional linear relationship of the given options are;

a) y-intercept is not at the origin - non-proportional linear relationship.

b) Direct variation - proportional linear relationship

c) y = -7x - proportional linear relationship.

d) y = 5x + 1 - non-proportional linear relationship.

e) y = x -  proportional linear relationship.

f) 4y = 2x - proportional linear relationship.

g) Non linear proportional relationship

h) Proportional linear relationship.

Proportional relationships are defined as relationships between two variables where their ratios are equivalent.

a) We are told that the y-intercept is not the origin. The equation of a line in slope intercept form is; y = mx + c

If c which is the y-intercept is not equal to zero, the this is a non-proportional linear relationship.

b) Direct variation is a proportional linear relationship because the two variables are directly related to each other.

c) y = -7x can be rewritten as; y/x = -7. Thus, this is a proportional linear relationship.

d) y = 5x + 1. As said in a  above, this is also a non-proportional linear relationship.

e) y = x. can be rewritten as; y/x = 1. Thus, this is a proportional linear relationship.

f) 4y = 2x. can be rewritten as; y/x = 2/4. Thus, this is a proportional linear relationship.

g) This is a non linear proportional relationship because the rate is not directly proportional.

h) This is a proportional linear relationship as it is a defined rate.

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The consequence of the two functions f(x) = (1 / 6) · ∛x and g(x) = 6 · x³ by composition is f[g (x)] = (1 / 6) · ∛3 · x and g[f (x)] = (1 / 6) · x³, respectively.

In this question we must use the definition of composition between two functions f and g, where the independent variable of the function f is substituted by function g. That is to say:

f ° g (x) = f [g(x)]

If we know that f(x) = (1 / 6) · ∛x and g(x) = 6 · x³, then the result of each composition is:

f [g (x)] = (1 / 6) · ∛(6 · x³)

f[g (x)] = (1 / 6) · ∛3 · x

g[f (x)] = 6 · [(1 / 6) · ∛(6 · x³)]³

g[f (x)] = 6 · (1 / 216) · (6 · x³)

g[f (x)] = (1 / 6) · x³

The results of the compositions of the two functions f(x) = (1 / 6) · ∛x and g(x) = 6 · x³ are f[g (x)] = (1 / 6) · ∛3 · x and g[f (x)] = (1 / 6) · x³, respectively.

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Answer:

x = -3

Step-by-step explanation:

7x+10 = -4x-23

11x+10 = -23

11x = -33

x = -3

Answer:

x= -33/4

Step-by-step explanation:

The list that shows all the possible outcomes for choosing two marbles at random is yy, oo, ro, yo, oy, ry, yr, or, rr

From the question, we have the following parameters that can be used in our computation:

Orange = o

Red = r

Yellow = y

From the question, we understand that the selection is with replacement

This means that it is possible to select a marble two times

So, we have the following representation

yy    oo     ro

yo    oy     ry

yr     or      rr

Hence, the list is yy, oo, ro, yo, oy, ry, yr, or, rr

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Answer:

The distributions of the income of the 3 states are pretty similar. The highest income in Maine is 50s, in Indiana it is pretty evenly spread out and Connecticut is highest in 60/70 and has multiple stragglers in 170 - 200 and a few near 300. The main place where most of the plot points are is 10 - 150.

Not completely sure if this helps, but I hope it does.

The difference between the actual value of the response variable and the corresponding predicted value(regression error) using the multiple regression model is the correct option.

A residual is a measurement of the vertical distance between a point and the regression line. It is just the discrepancy between an actual value observed and a value that was projected.

To ensure that the requirements for making conclusions about the coefficients in a linear model have been met, one should always perform a residual analysis.

In regression analysis, a residual is the discrepancy between an observed value and a predicted value.

It is determined by,

Residual = Observed value – Predicted value

The residual is the discrepancy between the expected value and the actual value.

Observed value minus predicted value equals residual.

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Step-by-step explanation:

angle bisector theorem :

the ratio of the 2 baseline segments is the same as the ratio of the 2 legs of the main triangle.

in our case :

44.8/56 = (x + 4)/35

x + 4 = 44.8×35/56 = 44.8×5/8 = 28 mm

x = 24

FYI : one way of explaining the theorem is : we could see this as 2 projections originating from E at the same angle but onto a tilted projection screen.

the length on the projection screen (HD or GD) is directly related to the distance from the projection point to the end of the tilted projection : ED or EG. and so the ratios of both projections must be equal (due to the equal angle).

so, in our case

35/56 = (x + 4)/44.8

which leads, of course, to the same result

44.8×35/56 = x + 4

Answer:

Step-by-step explanation:

it will be 22

Answer: The answer to the question is $\boxed{\text{(d)}\ 4}$. This is because a polynomial of degree 4 can have at most 4 zeros, and those zeros can be either real or complex numbers. Since the question asks for the maximum number of positive real zeros, the answer is $\boxed{\text{(d)}\ 4}$.

Step-by-step explanation: The maximum number of positive real zeros that a polynomial function of degree 4 can have is 4. This is because a polynomial of degree 4 can have at most 4 zeros, and those zeros can be either real or complex numbers. Since the question asks for the maximum number of positive real zeros, the answer is $\boxed{\text{(d)}\ 4}$.

Answer:

Step-by-step explanation:

The number of trials needed to produce results similar to their predicted outcomes is likely to be higher for Kasey's experiment with 20 possible outcomes than for Gerald's experiment with 3 possible outcomes.

By simplifying the expression we get [tex]4x^{\frac{3}{2} }y^{\frac{5}{2} }[/tex]

A number can be obtained by multiplying the square root of that integer by itself. The word "square root" is represented by the symbol [tex]\sqrt[2]{}[/tex] .The opposite of squaring an integer is finding its square root.

According to the given information

Given x > 0

          y > 0

we need to simply the following expression

[tex]\sqrt[4]{256x^{6}y^{10} }[/tex]

By simplifying

we get

= [tex](4^{4}x^{6} Y^{10}) ^{\frac{1}{4} }[/tex]

= [tex]4x^{\frac{6}{4} } y^{\frac{10}{4} }[/tex]

=  [tex]4x^{\frac{3}{2} }y^{\frac{5}{2} }[/tex]

Hence

By simplifying the expression we get [tex]4x^{\frac{3}{2} }y^{\frac{5}{2} }[/tex]

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Answer:

28 feet long

Step-by-step explanation:

we find the area of the first lawn using recent angle formula (l)(w)=a

(7)(3)

21

Now we multiply this by 4 since the second lawn is four times it

21x4

84

Now we rearrange the rectangle area formula to where length is what we are trying to find

a=(l)(w)

/w. /w

a/w=l

Now we fill in this formula

84/3=a

28

Hopes this helps

Answer: 100

Step-by-step explanation:

To solve this expression, we can start by performing the operations inside the parentheses first:

560 divided by 7 + 140 divided by 7

= 80 + 20

= 100

So the result of the expression is 100.

I hope this helps! Let me know if you have any questions.

Pete is correct because the student used multiplication as the correct function operation to simplify the expression.

Answer:

16.5

Step-by-step explanation:

627 divided by 38 equals 16.5.

16.5 is the amount earned per hour.

Therefore , range of given function is R ={2,-1,2} and Domain is D={8,4,0,-4}

A function from a set X to a set Y in mathematics assigns each object of X exactly one element of Y. The domain and codomain of the function are denoted by the sets X and Y, respectively.

Here,

Given:{(8, 2), (4, -1), (0, -1), (-4, 2)}

Thus , to find the domain

D={8,4,0,-4}

And to find the domain we check the last term of every bracket,{(8, 2), (4, -1), (0, -1), (-4, 2)}

R ={2,-1,2}

Therefore , it is many one function and onto function

Therefore ,It is many one - one function because two elements is connected with single element.

It is onto because of all elements of set B is connected with Set A.

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Answer:

56

Step-by-step explanation:

When you subtract a negative number. Just consider it addition.

So, 40+16

It's very simple from there.

Answer:

56!

Step-by-step explanation:

The question is 40 minus negative 16.
When you subtract a negative, it's the same as adding.

So 40 - (-16) is the same as 40 + 16, which equals 56.

Example:

If you have 3 apples, and you remove negative 3 apples from 3, now you have 6.
So, 3 - (-3) = 6.

Answer:

y = 1.25x + 5

Step-by-step explanation:

I found the answer using linear regression.

There is no horizontal asymptote since n > m.

Find the place where the phrase x 2 x 2 x 15 x 2 x 12 is undefined.

x = 0

When n is the degree of the numerator and m is the degree of the denominator, the rational function R (x) = an x n b x m is used.

1. The x-axis, with y = 0, is the horizontal asymptote if n m.

2. If n = m, then the line y = a b is the horizontal asymptote.

3. There is no horizontal asymptote if n > m. (there is an oblique asymptote).

Identify n and m.

n= 4 m = 2

There is no horizontal asymptote since n > m.

Domain and Range

Domain: (−∞,0)∪(0,∞),{x|x≠0}

Range: (−∞,∞),{y|y∈R}

Oblique Asymptotes: y = x 2 x 3 x 12.

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x = 2 , y' = 70 , x' = 30 : by using the property of SAS(side angle side) in ΔKMN and ΔKLI as they were similar polygon.

The property of a triangle whose two sides and the angle between these sides are stated is "SAS," which stands for "Side, Angle, Side". The SAS formula can be used to determine the area of a given triangle ABC with two known sides and an included angle between these sides.

Assume that the triangle's three sides are a, b, and c.

A SAS Triangle's perimeter

The following formula can be used to determine a triangle's area using SAS:

When sides "b" and "c" are known, along with angle A, the triangle's area is equal to: 1/2 bc sin(A)

The area of the triangle is equal to 1/2 ab sin(C) when sides 'b' and 'a' as well as included angle B are known

when sides "a" and "c" were added using SAS in triangle 1ΔMKN ~ ΔJKL

So, MN/KN = JL/KL

(x+1)/12 = (3x-2)/32

∴ 5x = 10 ⇒ x = 2

Using same property (SAS) in triangle 2

J = 80

∴ 30 = <x'

∵ in a triangle sum of angles is equal to 180° so, y' + <

J + 30 = 180

∴ <J = 80

then, y' = 70 and x' = 30

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ST describes the perpendicular bisector of PQ.

What is the perpendicular bisector?

A line segment that bisects another line segment at a 90° angle is known as a perpendicular bisector. In other terms, a perpendicular bisector separates a line segment into two equal halves by intersecting it at a 90° angle.

Here,

We have to find which statement describes the ST.

We concluded that ST describes the perpendicular bisector of PQ.

A perpendicular bisector is a line or a segment perpendicular to a segment that passes through the midpoint of the segment.

Hence, ST describes the perpendicular bisector of PQ.

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A(220) = 7850; If the accountant takes 220 hours to prepare the taxes, the cost will be $7,850.

Hence option (A) is correct.

What is a linear equation in one variable?

The linear equation in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution.

The cost function is A(x) = 150 + 35x

We have to find the value of A(220), so put x  = 220 in the given cost function, we get

        A(x) = 150 + 35x

        A(220)= 150 + 35(220)

                    = 150 + 7700

                    = 7850 dollars

Hence, A(220) = 7850; If the accountant takes 220 hours to prepare the taxes, the cost will be $7,850.

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Answer: x =4 , y =1

Step-by-step explanation:

Multiply the first equation by 4,and multiply the second equation by 3.

4(4x+3y=19)

3(3x−4y=8)

Becomes:

16x+12y=76

9x−12y=24

Add these equations to eliminate y:

25x=100

Then solve 25x=100 for x:

25x=100

(Divide both sides by 25)

x =4

Now that we've found x let's plug it back in to solve for y.

Write down an original equation:

4x+3y=19

Substitute4forxin4x+3y=19:

(4)(4)+3y=19

3y+16=19( Simplify both sides of the equation)

3y+16+−16 = 19+−16 (Add -16 to both sides)

3y=3

(Divide both sides by 3)

y=1