The coordinates of the endpoints of QR are Q(6, 2) and R(18, 18). Point S is on QR and divides it such that QS:RS is 3:1. What are the coordinates of S? Write your answers as integers or decimals.​

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

The value is 21.

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

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

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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Answer:

Domain: (−∞,∞),{x|x∈R}

Range: (−∞,∞),{y|y∈R}

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.

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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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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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!

-

nbjhjkghjvhjvhjvhvjvhhklbjklbjblk

The simplified expression is -125.

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

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

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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Answer:

Answer down below!

Step-by-step explanation:

Your answer would be 1 11/40

For the steps, refer to the image below!

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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Answer:

You need more context.

Step-by-step explanation:

What percentage are we solving for?

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.

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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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.

Answer: 6

Step-by-step explanation:

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

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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Answer:

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

Step-by-step explanation:

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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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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The answer to the given notation is 1970

Any value between 1.0 and 10.0 that can be expressed as a decimal number and multiplied by a power of 10 is referred to as being in standard form. If you look closely, you will see that 1.23 is a decimal between 1.0 and 10.0, and as a result, we have the standard form of 123,000,000 as 1.23 108.

This is already an standard notation : 1.97 × 10³

10 raised to the power three means there are three zeroes.

thus if we were to solve this question it will be

1.97 × 1000

which is equal to 1970.00

= 1970 .

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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

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]

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:

All the values with exactly three significant digits are: 0.0807, 1990

Significant digits of a number tell us what the actual meaningful representation of a number is. There are certain rules to figure out which digits in a number are significant such as

Thus the numbers with 3 significant digits are: 0.0807, 1990

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Answer: 26 inches

Step-by-step explanation:

An isosceles triangle has two congruent legs.

1) Set up the equations

P = b + 2L

b = 2L-6

2) Substitute for variables

46 = (2L - 6) + 2L

3) Solve the equation

46 = 4L - 6

52 = 4L

13 = L

4) Solve the problem

It asks for what is the sum of the two congruent legs

13 + 13 = Ans

26 = Ans

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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