**Answer:**

[tex]m = \frac{2 - 4}{ 6 - 0} = \frac{ - 2}{6} = - \frac{1}{3} [/tex]

**Hi that would be -1/3 or 1/-3 either one is correct.**

I wills end you a picture

The rate of change is represented by the slope of each club.

For Club A is 12.

For Club B we calculate using the formula

[tex]m=\frac{y2-y1}{x2-x1}[/tex][tex]\begin{gathered} m=\frac{42-21}{2-1} \\ m=\frac{21}{1}=21 \end{gathered}[/tex]The value is 21.

For Club C we apply the same formula and use the poins shown in the graphic

[tex]\begin{gathered} m=\frac{70-40}{3-1} \\ m=\frac{30}{2} \\ m=15 \end{gathered}[/tex]For club D the slope is the value that is paid each month

which in this case is $20

According to this the greatest rate of chande is for Health Club B

Draw a coordinate plane on your paper. Then

plot the points on your coordinate plane.

A(3, 1) B(2, 4) C(4, 1) D(1, 5)

**Answer:**

**yw:) have a good day :)**

The graph of the equation y = 4x + 2, what is the y when x = 1?

**Answer: 6**

**Step-by-step explanation:**

[tex]y=4(1)+2=6[/tex]

y=6

substitute x for 1

4x1=4

4+2=6

substitute x for 1

4x1=4

4+2=6

Simplify the expression.[(-5)1]3

The **simplified expression** is **-125**.

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24. a. The 2004 Toyota Corolla is advertised by Toyota as getting 32 miles to the gallon while driving around town. We will assume that Toyota is rounding this number to the units place. The fuel tank holds 13.2 gallons. If the tank is full, how many miles could drive before running out of gas? Round according the guidelines.

b. AAA ran tests on fuel efficiency and found the 2004 Toyota Corolla actually got 28.9 miles per gallon driving around town. Using AAA's estimate, how long could you drive before running out of gas? Round according the guidelines.

c. How many miles less does the AAA estimate predict you can get on a single tank of gas? Round according the guidelines.

a) If the tank is full, using **mathematical operations** based on the 2004 Toyota Corolla, you will run 422.4 miles before running out of gas, according to Toyota's advert.

b) Using AAA's estimate, one could drive 381.4 miles before running out of gas.

c) Based on the AAA estimate, on a single tank of gas, you can predict that you will get 40.9 miles less.

What are mathematical operations?The **mathematical operations** include subtraction, addition, division, and multiplication.

For our purpose, we have used the mathematical operations of **multiplication** and **subtraction** to determine the above values.

Claimed mileage per gallon, according to the Toyota advert = 32 miles

The number of gallons of gas in Toyota Corolla's full tank = 13.2 gallons.

AA fuel efficiency on 2004 Toyota Corolla = 28.9 mpg

a) Miles to run before running out of gas (Toyota advert) = 422.4 (32 x 13.2) miles

b) Miles to run before running out of gas (AAA rating) = 381.48 (28.9 x 13.2) miles

c) The **difference** in miles between (a) and (b) above = 40.92 (422.4 - 381.48) miles

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Triangle ABC is rotated to create the image A'B'C'.

Which rule describes the transformation?

(x, y) - (x.-y)

(x,y) - (y.x)

(x,y) - (-x.-y)

(x,y) - (-y.-x)

Option C, (x, y) - (-x, -y) is the rule which describes the **transformation**.

A rotation in **geometry** is a change of a shape that involves turning it by a given number of degrees around a certain point known as the **center of rotation** and is denoted as R(0,x), wherein x is an angle of rotation around a center point O.

Assume triangle ABC's subsequence to be (x, y) and the angle of rotation for rotating **triangle** ABC to A'B'C' to be 180° or -180° about the center of rotation (0,0).

That is under R(0,0),180°.

The image formed is (-x,-y).

The resulting picture will contain a triangle ABC in the first quadrant of the graph and a triangle A'B'C inside the third quadrant with the center of rotations (0,0).

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A concession stand sells drinks and hotdogs. The number of drinks sold is 5 more than 4 times the number of hotdogs sold. The stand sold 500 items. How many hotdogs were sold?

Pleas help

Two or more **expressions** with an equal sign is called as Equation. We solve the problem by forming equations, After solving equations we came to know that 123** hotdogs **were sold in the **concession stand.**

Two or more expressions with an equal sign is called as Equation.

Given that,

A concession stand sells **drinks** and hotdogs.

The number of drinks sold is 5** more than** 4 **times** the number of hotdogs sold.

The stand **sold** 500 items.

Let the number of hotdogs=x

The number of **drinks** sold is 5 more than 4 **times** the number of hotdogs sold.

The number of drinks=5+4x

stand** sold** 500 items.

Let us formulate a **equation** by given data

5+4x=500

Let us separate the **variable **x on one side.

**Subtract** 5 on both sides

5+4x-5=500-5

4x=500-5

4x=495

**Divide** both sides by 4

x=123.25

Hence 123 hotdogs were** sold** in the **concession stand.**

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An image of a book shown on a website is 1.5 inches wide and 3 inches tall on a computer monitor. The actual book is 9 inches wide.

Type the answers to the questions below in the boxes.

1. What scale is being used for the image?

inch to

inches

2. How tall is the actual book?

inches

The **height** will be 18 inches and the **scale** is 1 inch = 6 inches.

1.5 inches is the width of a book picture shown on a **website.**

And the book's** length**, as displayed on the website, is 3 inches

The book's **real width** is 9 inches.

The book image's size is

6 inches to one inch

The book is actually three and** six pages** long.

The size of the real book is 18 inches long and 9 inches broad.

Hence the **scale** is 1 inch is equal to 6 inches and **height** is 18 inches.

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Solve negative a minus four sevenths equals two thirds for a.

a equals negative 26 over 21

a equals 26 over 21

a equals negative 2 over 21

a equals 2 over 21

The solution for the **linear equation** is a = -26/21, so the correct option is the first one counting from the top.

Here we have a** mathematical statement** that can be written as the following **linear equation:**

-a - 4/7= 2/3

To solve this for a, we just need to isolate a in one of the sides of the **equation**, so let's do taht.

-a - 4/7 = 2/3

a = -4/7 - 2/3

Now we need a** common denominator **in the right side, i will use 21.

a = -12/21 - 14/21 = -26/21

So the correct option is the first one.

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How do you write 8.61 × 10–1 in standard form?

The **expression **8.61 x 10-1 in **standard form** is 0.861

The **expression **is given as

8.61 x 10-1

Rewrite the **equation **properly as follows

So, we have the following expression

8.61 x 10^-1

Express 10^-1 as 1/10

So, we have the following expression

8.61 x 1/10

Evaluate the **products**

So, we have the following expression

8.61/10

Evaluate the quotient

So, we have the following expression

0.861

Hence, the **expression **is 0.861

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1. Compare two spheres. The first has a diameter of 4 inches.

The second sphere has a diameter of 428 inches.

Determine the ratio of the volume of the large sphere to the volume

of the small sphere.

Ratio =

**Answer:**

1,225,043

**Step-by-step explanation:**

You want the **ratio of volumes** of spheres **428 inches** and **4 inches** in **diameter**.

The volume of a sphere in terms of its diameter is ...

V = (π/6)d³

The ratio of the volumes of the larger to smaller sphere is ...

[tex]\dfrac{V_{large}}{V_{small}}=\dfrac{\pi/6\cdot428^3}{\pi/6\cdot4^3}=\left(\dfrac{428}{4}\right)^3=107^3=\boxed{1,\!225,\!043}[/tex]

**The ratio of volumes is 1,225,043**.

The ratio of the **volume** of the large sphere to the volume of the small sphere is 1225043:1

The following is the formula for finding the volume of a sphere:

V = [tex]\frac{4}{3} \pi r^3[/tex]

Now, the normal assumption is that we must use the formula to calculate the **volume** of both spheres in order to compare. However, observe that in comparing the volume of two different spheres, the only difference between them is the radius, thus we can compare the two spheres directly in this way:

[tex]\frac{(radius of sphere B)^3 }{(radius of sphere A)^3}[/tex]

So,

[tex](\frac{428}{4})^3[/tex]

[tex]107^3[/tex]:1

12,25,043:1.

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Jake spent a total of $40 dollars on the items below 4 movie tickets for $6 each 2 bags of popcorn for $7 4 drinks for $2.25 each what percent of the $40 did jake spend on movie tickets?

**Answer: Jake spent 62.5% of the money on movie tickets.**

**Step-by-step explanation: He spent 6 x 4 = $24 on movie tickets.**

**He spent 7 x 2.25 = 15.75 on drinks**

**However, it is asking for the amount of money he spent on MOVIE TICKETS. So then it would be 25/40 or 5/8.**

1. You launch a toy rocket from a height of 5 feet. The height h, in feet of the rocket t seconds after taking off is given by the formula h = -3t2 + 14t + 5.

In case whereby You launch a toy rocket from a height of 5 feet with the **height** h, in feet of the** rocket** t seconds after taking off is given by the formula h = -3t2 + 14t + 5, then the value of t will be** 4.67 secs.**

How can the values of t be calculated?

The giving equation is h = -3t2 + 14t + 5

where the height h is been given as 5 feet, then we can substitute the value of the height they the **expression** can be simplified as

5 = -3t^2 + 14t + 5

Then this **equation** can be re arranged as :

-3t^2 + 14t + 5 - 5=0

This can as well be expressed as

-3t^2 + 14t = 0

t(-3t + 14)= 0

Then t= 0 and -3t + 14=0

t=14/3 = 4.67 secs

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9 girls and 3 boys write left-handed what is the percent

**Answer:**

You need more context.

**Step-by-step explanation:**

What percentage are we solving for?

Alice was given ￼15.5 divided by 0.25 to divide. Alice says she knows the way that she can find the quotient without even dividing. Is Alice correct?

**Answer:**

i'm not sure i looked it up but from it says you you can find the quotient by using the opposite of division which is multiplying again I'm not sure i might be wrong but please let me know if its right

**Step-by-step explanation:**

Three cups of oatmeal are used to make 24 oatmeal cookies. How many cups of oatmeal are needed to make 36 oatmeal cookies?

someone please help me???

so each cup of oatmeal makes 8 cookies you would need 4 and a half cups too make 36 oatmeal cookies

solve the absolute value inequality and express the solution in interval and algebraic notation

**Answer:**

[-10, - 2]

**Step-by-step explanation:**

1

Solve the inequality: ly+ 61 - 4 <0

-10 ≤ and ≤-2

2 Express solution set in interval notation:

[-10, -2]

Mark has a container in the shape of a cube. He uses 64 cubes with sides lengths of 1 inch to completely fill the container.

What is the edge length of the container?

Hint: The volume of the container is 64 cubic inches.

If Mark has a container in the shape of a **cube** and he uses 64 cubes with sides length of 1 inch to completely fill the container, then the edge length of the container is 4 inches

The shape of the container is cube

He uses 64 cubes with side length of 1 inch to completely fill the container

The** volume **of cube with side length of 1 inches = [tex]a^{3}[/tex]

Where a is the side** length of the cube**

= [tex]1^{3}[/tex]

= 1 cubic inches

The volume of 64 cubes = 64×1

= 64 cubic inches

The volume of the container in cub shape = The volume of the 64 cubes with side length of 1 inches

[tex]a^{3}[/tex] = 64

a = 4 inches

Hence, if Mark has a container in the shape of a cube and he uses 64 cubes with sides length of 1 inch to completely fill the container, then the edge length of the container is 4 inches

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NEED HELP IMMEDIATELY!!!

**Answer:**

1. **m∠P + m∠Q + m∠R = 180°**

2.** x = 10**

**Step-by-step explanation:**

By the triangle sum theorem, the sum of the angles in a triangle is 180°. Therefore, using the given sum theorem, **m∠P + m∠Q + m∠R = 180°.** Using the substitution property, (5x)° + (5x)° + (8x)° = 180°. Simplifying the equation gets 18x = 180°. Finally, using the division property of equality, **x = 10**.

I hope this helps!

May you guys/girls please help me I have to submit this befoer mid night and I do not fail because my parents will get me , so may y'all please help me out!?

**Answer:**

Answer down below!

**Step-by-step explanation:**

Lets start off by finding a point we can start off at!

Since (2,0) lands perfectly on the number line, we can use that one!

From there, use the rise/run method to find your slope

We go up 2 and over -2

Thus our fraction is -2/2 BUT WE AREN'T DONE!

We can simplify this to be -1/1 or -1

**Thus, our slope is -1**

It's negative one, starting from the y intercept you're going down one right one and so on.

Guys i need help is this right?

The **domain** of the function in this situation as required in the task content is; **Choice H**; 0 ≤ x ≤ 5.

It follows from the task content that the **domain** of the function described by the situation is to be determined.

Since the **domain** is the set of all possible input values, otherwise termed the independent variable, x.

It follows that since one runner runs for at most t hours; the **domain** is; **Choice H** ; 0 ≤ x ≤ 5.

Please Note: The set of all possible output values of a function, otherwise termed the dependent variable, y is called the **Range**.

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whait is the formula of mean deviation

The formula of **mean deviation** = [Σ |X – µ|]/N

What is **mean deviation?**

**Mean deviation **defined as a statistical measure that is used to calculate the average deviation from the mean value of the given data set.

The formula of **mean deviation** is [Σ |X – µ|]/N

Here,

Σ represents the addition of values

X represents each value in the data set

µ represents the mean of the data set

N represents the number of data values.

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the populations of towns a, b, and c vary exponentially with respect to time. the population of town a increases by 26% every 11 years. what is the annual percent change in the population of town a? % the population of town b decreases by 39% every 13 years. what is the annual percent change in the population of town b? % the population of town c triples every 5 years. what is the annual percent change in the population of town c?

a. 11 year **growth factor** = 1 + (26/100) = 1.26

1-year growth factor = (1.26)^1/11 = 1.0210

Therefore,

1-year **growth percent** = 1.0210 - 1 = 0.0210 %

Answer: 2.10

b. 13-year decay factor = 1 - (39/100) = 0.61

1-year **decay factor** = (0.61)1/13 = 0.9631

Therefore,

13-year decay factor = 1 - 0.9631 = 0.03686 = 3.68%

Answer: 3.68

c. 5-year growth factor = 3

1-year growth factor = (3) ^1/5 = 1.245

Therefore,

1-year **growth factor** = 1.2457 - 1 = 0.2457 = 2.45%

Answer:2.45

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when a study uses – , each member of a population has an equal chance of being selected. – occurs when researchers randomly sample subsets of the population and then use all individuals within the subsets. – is often used to select participants to represent, in an unbiased way, subsets of the population that are not large enough to be accurately measured. all three of these techniques are – sampling techniques.

When a study uses **random sampling**, each member of a population has an equal chance of being selected.

**Cluster**** sampling** occurs when researchers randomly sample subsets of the population and then use all individuals within the subsets.

**Oversampling** is often used to select participants to represent, in an unbiased way, subsets of the population that are not large enough to be accurately measured.

All all three of these techniques are **representative** sampling techniques.

It should be noted that sampling simply means the selection of subjects from the entire **population**.

In a **random sampling**, everyone has equal opportunity of being picked.

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a couple plans to have three children. there are eight possible arrangements of girls and boys. for example, ggb means the first two children are girls and the third child is a boy. all eight arrangements are (approximately) equally likely.

The **sample space** of the three **children** that the couple will have will be:

S = (BBB, BBG, BGB, GBB, BGG, GBG, GGB, GGG)

How to illustrate the information?From the information given, the **couple** plans to have three children. there are eight possible **arrangements** of girls and boys.

Therefore, the **sample space** of the three children will be:

N(S) = 2³

= 2 × 2 × 2

= 8

The eight **arrangements** are illustrated above.

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What is the rate of change of the following equation? y=5/3x - 3

**Answer:**

5/3 is the slope. slope is the same thing as rate of change

**Step-by-step explanation:**

What are the next three terms

125, -25, 5, ...

**Answer:**

25, 125, 3125, 78125, 1953125

**Answer:**

-1 ; 1/5 ; -1/25

**Step-by-step explanation:**

125 : (-5) = -25

-25 : (-5) = 5

5 : (-5) = -1

-1 : (-5) = 1/5

1/5 : (-5) = -1/25

30 POINTS! What is the domain and range of g(x) = |x + 4|

**Answer:**

Domain: (−∞,∞),{x|x∈R}

Range: (−∞,∞),{y|y∈R}

write an equation which relates the figure number x to the number of tiles y

Write an equation which relates the figure number x to the number of tiles y

x= increase a row of 4 per image

y = 1 + 4*x

Figures

1

y = 1 + 4*(1) = 5

2

y = 1 + 4*(2) = 11

3

y = 1 + 4*(3) = 13

__________________

Answer

The equation which relates the figure number x to the number of tiles y is

y = 1 + 4x

_

Can you see the updates?

Do you have any questions regarding the solution?

Find the equation of the line that is perpendicular to the line y =5x + 6 and passes through the point (-3,3). Write the equation in point slope form.

The **point-slope** form of equation of the line **perpendicular **to the line y = 5x + 6 nd passing through (-3,3) is x + 5y = 12.

If two lines are perpendicular to each other, then the** product of slopes** of these two lines is equal to -1.

The provided line is y = 5x + 6,

The slope M₁ of the line is equal to the coefficient of x,

M₁ = 5

Let the slope of the **perpendicular **line is M₂,

So, we can write,

M₁M₂ = -1

M₂ = -1/5.

Now, we can use the point slope form of the equation of line, according to which is if line passes through (a,b) and have slope m then the equation of the line will be,

(y-a) = m(x-a)

This form of line is called** Point-slope form **of line.

Then, the equation of the line with slope -1/5 and passing through (-3,3) will be,

(y-3) = -1/5(x+3)

-5y+15 = x+3

x + 5y = 12

The above equation is the required **equation of line** in point slope form.

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Solve for m.m- 15 = 20
I'll give brainliest!!
Which of the following statements about treating PTSD is true? a. By focusing on a persons specific traumatic memory, trauma-focused therapy has been shown to be too narrow in scope to be helpful in treating PTSD. b. The American Psychological Association has issued guidelines to replace psychotropic interventions with trauma-focused therapy. c. The American Psychological Association has issued guidelines to replace cognitive-behavioral therapy with trauma-focused therapy. d. Trauma-focused therapy is gaining support as a first-line treatment showing longer-lasting results than psychotropic medication.
Which of the following is NOT an example of matter?O All of these are examples of matterO airO goldO apple juiceO a rose bush
What is a(b(x)) if a(x) = 3x 2 and g(x) = -3x + 1?
which organism can easily adapt to changing food supply? why?
Even before the Ghost reveals crime, has harsh feelings toward him What do speeches in Scene 2 suggest about his character
A backpack weighs 10 N. What is the mass of the backpack?
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Which condition of modeling behavior is described as a desire to imitate a model the behavior being observed-reproduction -attention-retention-modivation
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The hydrophobic tails of phospholipids keep water from passing directly through the cell membrane. How might this be beneficial for the maintenance of homeostasis in a cell?.
confused on this please help!!
Suppose that 3 j of work is needed to stretch a spring from its natural length of 24 cm to a length of 33 cm. (a) how much work is needed to stretch the spring from 29 cm to 31 cm? (round your answer to two decimal places.) (b) how far beyond its natural length will a force of 15 n keep the spring stretched? (round your answer one decimal place.)
Nakeisha needs to order some new supplies for the restaurant where she works. The restaurant needs at least 566 forks. There are currently 188 forks. If each set on sale contains 8 forks, which inequality can be used to determine xx, the minimum number of sets of forks Nakeisha should buy?
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What does the point (2,8) mean?
A particle moves along thex-axis so that at timet\ge 0t0its velocity is given byv(t)=3t^2-18t+15.v(t)=3t218t+15.Determine all values ofttwhen the particle is at rest.