Write the equation of the line shown in the graph to the right
Hint: Think about slope and y-intercept.

Let's define the next variable:

x: the original second prize (in tickets)

The first time, she won 50 tickets. The second time, she won 4 times the number of tickets of the original second prize, that is, 4x. Altogether she won 200 tickets. That is,

50 + 4x = 200

50 is adding on the left, then it will subtract on the right

4x = 200 - 50

4x = 150

4 is multiplying on the left, then it will divide on the right

x = 150/4

x = 37.5

The original second prize was 37.5 tickets

The length of Raj's piece of string is 12x units.

To determine the length of Raj's piece of string, we need to find Kiki's third-longest piece.

Looking at the line plot or list of lengths provided, we can identify the third-longest length of Kiki's pieces.

Let's assume Kiki's third-longest piece has a length of x units.

According to the problem, Raj's piece of string is 12 times as long as Kiki's third-longest piece.

Therefore, the length of Raj's piece of string would be 12 × x units.

We can only express it as 12x units, where x represents the length of Kiki's third-longest piece.

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Answer:

C is the answer

Step-by-step explanation:

i randomly found out

The geometric construction in option (C) depicts a ray.

In mathematics, a ray is a segment of a line with a fixed starting point but no ending. It can go on forever in a single direction. A ray cannot be measured since it has no end point.

In the given geometric construction,

Diagram A, shows a parallelogram. Therefore, is not a ray.

In diagram B there is no starting point, it shows a line. Therefore, it is also not a ray.

In diagram C, there is a starting point and no ending point.

Depicts that this geometric construction is a ray.

Diagram D shows the line segment.

Hence, Diagram C depicts a ray.

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if stretched vertically by a factor of 2, the resulting function will be g(x) = 2|x| and a horizontal compression by a factor of 2, the resulting function will be 1/2|x|

Transformation is a technique used to change the position of an image on an xy-plane.

If the function f(x)is vertically stretched by "a" units, the resulting function will be f(x) = a|x|.

Hence if stretched vertically by a factor of 2, the resulting function will be g(x) = 2|x|

For a horizontal compression by a factor of 2, the resulting function will be 1/2|x|

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The orthogonal decomposition of `v` with respect to `w` is given by`v = proj_w(v) + v_ortho``v = <-0.5294, -2.1176> + <3.5294, 1.1176>``v = <3, -3>`

Given vectors `v = (3, -3)` and `w = span(1, 4)`.

To find the orthogonal decomposition of v with respect to w, we need to find two vectors - one in the direction of w and another in the direction orthogonal to w. Therefore, let's first find the direction of w.To get the direction of w, we can use any scalar multiple of the vector `w`.

Thus, let's take `w_1 = 1` such that `w = <1, 4>`.Now we need to find the projection of v onto w. The projection of v onto w is given by`(v . w / |w|^2) * w`

Here, `.` represents the dot product of vectors and `|w|^2` is the squared magnitude of w.`|w|^2 = 1^2 + 4^2 = 17` and `v . w = (3)(1) + (-3)(4) = -9`.

Therefore, the projection of v onto w is given by`proj_w(v) = (-9 / 17) * <1, 4> = <-0.5294, -2.1176>`We can check that `proj_w(v)` is in the direction of `w` by computing the dot product of `proj_w(v)` and `w`.`proj_w(v) . w = (-0.5294)(1) + (-2.1176)(4) = -9`.

Thus, the vector `proj_w(v)` is indeed in the direction of `w`.Now, we need to find the vector in the direction orthogonal to w. Let's call this vector `v_ortho`.

Thus,`v_ortho = v - proj_w(v) = <3, -3> - <-0.5294, -2.1176> = <3.5294, 1.1176>`

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An exponential function can represent growth or decay.

The graph represents an exponential growth function is given by  \(y = ab^{x}\).

An exponential function is represented as:

\(y = ab^{x}\)

Where:

a represents any constant value.

b represents the growth or decay rate of the function

When the value of b is greater than 1, then the exponential function represents growth

Graph shown below represents an exponential growth function.

Hence, the graph representing an exponential growth function is graph traced by \(y = ab^{x}\).

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Answer:

Step-by-step explanation:

-3b - 2b + 7 = -15

-5b  = -22

b = 22/5

the answer are: rigid transformations, then the polygons are congruent

Answer:

Step-by-step explanation:

Given point

Dilation by a scale factor of 74:

Rotation by 180°:

Answer:

did you get chicken nuggets? why so happy

The coordinates of the vertices of the image after a rotation of 270° counterclockwise about the origin include the following: C) P(-2,4), Q'(-3, 1). and R'(-5,3)

In Mathematics and Geometry, the rotation of a point 270 degrees about the origin in a counterclockwise (anticlockwise) direction would produce a geometric figure that has the coordinates (y, -x).

By applying a rotation of 270 degrees about the origin in a counterclockwise (anticlockwise) direction to the triangle PQR, the new coordinates are given by:

(x, y)                                   →         (y, -x)

Ordered pair P (-4, -2)        →    Ordered pair P' (-2 -(-4)) =  (-2, 4).

Ordered pair Q (-1, -3)        →    Ordered pair Q' (-3 -(-1)) =  (-3, 1).

Ordered pair R (-3, -5)        →    Ordered pair R' (-5 -(-3)) =  (-5, 3).

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The volume of the square pyramid, to the nearest tenth, is determined as: 1.5 cubic inch.

Volume of a pyramid is given as, V = 1/3 × a² × h, where:

a = side length of the square base

h = height of the pyramid

Given the following:

Perimeter of the base = 5.1 in.

Side length of the square base = 5.1/4

The height of the pyramid = 2.7 in.

Plug in the values into V = 1/3 × a² × h:

Volume of the square pyramid = 1/3 × (5.1/4)² × 2.7

Volume of the square pyramid = 1/3 × 1.625625 × 2.7

Volume of the square pyramid = 1.4630625

Volume of the square pyramid = 1.5 cubic inch (to the nearest tenth of a cubic inch).

Thus, the volume of the square pyramid with the given perimeter, to the nearest tenth, is determined as: 1.5 cubic inch.

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43% of elementary students chose something other than blue, red, or yellow as their favorite color.

Blue: 24%

Red: 17%

Yellow: 16%

Total: 24% + 17% + 16% = 57%

Percentage chose something other:

100% - 57% = 43%.

Therefore, 43% of elementary students chose something other than blue, red, or yellow as their favorite color.

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After deducting the amounts for Federal tax, Social Security, and other deductions, the net pay for working 40 hours at an hourly wage of $8.95 is $276.61. Option A.

To calculate the net pay, we need to subtract the deductions from the gross pay.

Given:

Hours worked = 40

Hourly wage = $8.95

Federal tax deduction = $35.24

Social Security deduction = $24.82

Other deductions = $21.33

First, let's calculate the gross pay:

Gross pay = Hours worked * Hourly wage

Gross pay = 40 * $8.95

Gross pay = $358

Next, let's calculate the total deductions:

Total deductions = Federal tax + Social Security + Other deductions

Total deductions = $35.24 + $24.82 + $21.33

Total deductions = $81.39

Finally, let's calculate the net pay:

Net pay = Gross pay - Total deductions

Net pay = $358 - $81.39

Net pay = $276.61

Therefore, the net pay for 40 hours worked at $8.95 an hour with deductions for Federal tax of $35.24, Social Security of $24.82, and other deductions of $21.33 is $276.61. SO Option A is correct.

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Note the correct and the complete question is

What is the net pay for 40 hours worked at $8.95 an hour with deductions for Federal tax of $35.24, Social Security of $24.82, and other deductions of $21.33?

A.) $276.61

B.) $326.25

C.) $358.00

D.) $368.91

Answer:

B

Step-by-step explanation:

They help support the tree in shallow soil so it does not fall over

Answer:

The answer is though, 8

Step-by-step explanation:

10/ x Is equal to 15/12

so it’s 8

hope this helps :))

Answer:

vertical

adjacent

linear

Step-by-step explanation:

The possibility are 1,716 possible ways to cast the roles of Larry, Curly, and Moe from a group of 13 actors.

There are 13 actors auditioning for the roles of Larry, Curly, and Moe, there are 13 choices for who can be cast in the first role, 12 choices left for who can be cast in the second role, and 11 choices left for who can be cast in the third role (assuming that no actor can play more than one role).

To determine the number of ways the roles of Larry, Curly, and Moe could be cast with 13 different actors auditioning, we can use the concept of permutations.

In this case, we have 13 actors and 3 roles to fill, so we calculate it as follows:

Permutations = 13 * 12 * 11 Permutations

= 1,716

So, there are 1,716 different ways the roles of Larry, Curly, and Moe could be cast from the 13 actors auditioning.

Therefore, the number of ways the roles can be cast is:

13 x 12 x 11 = 1,716

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Answer:

what is the question?

Step-by-step explanation:

#MASTER GROUP

# FIRST MASTER

# PHILIPPINES

The solution of quadratic equation is 2 and 3

Certainly! Here's a program in C++ that solves the quadratic equation x² - 5x + 6 = 0:

#include <iostream>

#include <cmath>

int main() {

   double a = 1.0;  // coefficient of x^2

   double b = -5.0;  // coefficient of x

   double c = 6.0;  // constant term

   double discriminant = pow(b, 2) - 4 * a * c;  // calculate the discriminant

   // Check if the discriminant is negative, which means no real roots

   if (discriminant < 0) {

       std::cout << "No real roots exist for the equation." << std::endl;

   }

   // If the discriminant is non-negative, calculate the roots

   else {

       double root1 = (-b + sqrt(discriminant)) / (2 * a);  // calculate the first root

       double root2 = (-b - sqrt(discriminant)) / (2 * a);  // calculate the second root

       std::cout << "Root 1: " << root1 << std::endl;

       std::cout << "Root 2: " << root2 << std::endl;

   }

   return 0;

}

This program calculates the discriminant using the formula `b² - 4ac`, then checks whether it is negative or non-negative. If it is negative, it prints a message indicating that no real roots exist. If the discriminant is non-negative, it uses the quadratic formula to calculate the two roots and prints them.

Note that the program includes the `<cmath>` header file to use the `pow` and `sqrt` functions for calculating powers and square roots, respectively.

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The medicine bottle has 120 doses of 100 miligram each.

As per the known fact, 1000 miligram is 1 gram. So, the amount of medicine in the bottle in milligrams = 12×1000

Performing multiplication on Right Hand Side of the equation

Amount of medicine in bottle = 12000 milligrams.

Now, number of dose of 100 miligram medicine = 1

Amount of dose of 12000 miligram medicine = (1/100)×12000

Performing division and multiplication on Right Hand Side of the equation

Amount of doses in 12000 miligram medicine = 120

Thus, there are 120 doses in a medicine.

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The value of the expression is found to be 1 0 when the value of x is equal to 2.

The expression provided to us is 5.x³/x² for x = 2.

Now, in order to evaluate this expression, we will follow the simple,

5.x³/x² = 5x.

First as we can see, x³ can be divided by x²and then we will get x as the outcome of the simple division operation,

So, we will get,

5x

Now, we have to put the value of x equal to 2 so that we get to know about the exact value of the expression,

x = 2,

= 5(2)

= 10

So, the value of the expression is found to be 10 when the value of x was 2.

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Complete question - Evaluate the expression 5.x³/x² for x equals to 2.

Answer:

3x-3

expanding the brackets

3 times x and -1 times 3

the chance that you will get a pair of shoes and a pair of socks that are the same color is 24% for black shoes and 6% for brown shoes.

What is the chance that you will get a pair of shoes and a pair of socks that are the same color?

Suppose you have -2 pairs of black shoes-3 pairs of brown shoes-3 pairs of white socks-1 pairs of brown socks-6 pairs of black socksThe probability of getting a pair of shoes and a pair of socks of the same color can be calculated using the following formula:

Probability = (Number of pairs of same-colored shoes × Number of pairs of same-colored socks) / Total number of possible pairs of shoes and socksTo use this formula, we need to know the number of possible pairs of shoes and socks. This can be calculated by multiplying the number of pairs of shoes by the number of pairs of socks. Therefore, the total number of possible pairs of shoes and socks is:Total number of possible pairs of shoes and socks = (2 + 3) × (3 + 1 + 6)= 5 × 10= 50 pairs

Now we can calculate the probability of getting a pair of shoes and a pair of socks of the same color as follows:

Probability of getting a pair of shoes and a pair of socks of the same color = (Number of pairs of same-colored shoes × Number of pairs of same-colored socks) / Total number of possible pairs of shoes and socksFor each color, the number of pairs of shoes and socks of that color is given as:

Black: 2 pairs of shoes, 6 pairs of socksBrown: 3 pairs of shoes, 1 pair of socksWhite: 0 pairs of shoes, 3 pairs of socksSince there are no white shoes, we cannot get a pair of shoes and a pair of socks of the same color for white shoes. Therefore, we only need to calculate the probability for black and brown shoes. For black shoes, the probability is:Probability of getting a pair of black shoes and a pair of black socks = (2 × 6) / 50= 12 / 50= 0.24 or 24%For brown shoes, the probability is:Probability of getting a pair of brown shoes and a pair of brown socks = (3 × 1) / 50= 3 / 50= 0.06 or 6%.

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Answer:  There are $26$ choices for the first letter, $26$ for the second, and $26$ for the third. The last letter is determined by the first letter. Thus, there are $26^3 = \boxed{17576}$ such combinations.

Step-by-step explanation:

This means that picking a four-letter word that follows this rule is just like picking any 3 letter word (pick a 3 letter word and then add a "copy" of the first letter as a fourth letter)

so there's a total of 263 =17,576 combinations- 26 options for the first letter, 26 options for the second letter, and 26 options for the third letter.

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Grandfather, two fathers and two sons purchased a total of three tickets.

What is a Mathmatical riddle?

Children must convert a few lines from a real-life incident into the appropriate set of mathematical equations in order to solve a math mystery. Mathematical riddles can be cracked by kids utilizing logic, inventive problem-solving, and common sense.

All three tickets:

Grandfather and His Son's Father

Father and his father's son.

Son.

Two fathers and two sons, then.

As a result, a total of 3 tickets were purchased by a grandfather, two fathers and two sons.

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If 150 town residents were asked about their age and yogurt , then the probability that a randomly selected customer prefers Swirl if age is at least 25 years old is 0.66 .

let X be = the selected customer that prefers swirled yogurt or is at least 25 years old ;

The sum of all the customers that are "at least 25 years old" = 21 + 30 + 24 = 75 ;

the sum of all the customers that " like Swirl Yogurt" is = 24 + 24 = 48 ;

the total number of residents = 150 students ;

So , the probability is calculated as : ( 75+48 -24)/150 = 0.66 .

Therefore , the required probability is 0.66 .

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The given question is incomplete , the complete question is

The 150 residents of the town of wonderland were asked their age and whether they preferred vanilla, chocolate, or swirled frozen yogurt. the results are displayed next.

     Age                               Chocolate      Vanilla      Swirl

under 25 years old                  22                 29             24

at least 25 years old                21                  30             24

What is the probability a randomly selected customer prefers Swirl Yogurt given he or she is at least 25 years old ?