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Each function is a transformation of the parent sine function. Based on the period, which graph represents each transformed function?

The pizzeria sold 24 small pizzas, 0 medium pizzas, and 9 large pizzas.

Here's how we can use the Gaussian elimination method with back substitution to solve this problem:

First, let's create a system of equations to represent the given information. Let S be the number of small pizzas sold, M be the number of medium pizzas sold, and L be the number of large pizzas sold.  System of equations can be written as:

S + M + L = 31

10S + 11M + 15L = 327

We can now use the Gaussian elimination method to solve this system. First, we'll eliminate the S variable from the second equation by multiplying the first equation by -10:

-10S - 10M - 10L = -310

10S + 11M + 15L = 327

Adding these two equations together, we get:

-9M + 5L = 17

Now, we can eliminate the M variable from this equation by multiplying the first equation by 9:

9S + 9M + 9L = 279

-9M + 5L = 17

Adding these two equations together, we get:

9S + 5L = 296

Dividing this equation by 9, we get:

S + (5/9)L = 32.88888889

This equation tells us that for every 1 large pizza sold, the pizzeria sold (5/9) small pizzas. We can use this information to solve for L, the number of large pizzas sold.

By substituting the expression for S into the first equation, we get:

L + M + (5/9)L = 31

Solving for L, we get:

L = 9

Now that we know the number of large pizzas sold, we can substitute this value back into the equation S + (5/9)L = 32.88888889 to solve for S, the number of small pizzas sold:

S + (5/9)(9) = 32.88888889

Solving for S, we get:

S = 24

Finally, we can use the fact that the pizzeria sold 24 more small pizzas than medium pizzas to solve for M, the number of medium pizzas sold:

M = S - 24

= 24 - 24

= 0

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The critical value for the 0.05 level of significance is k = 21.

To find the critical value, we can use the binomial distribution. The binomial distribution models the number of successes in n independent Bernoulli trials, each with probability p of success. In this case, the number of successes is the number of dog owners who say Woof Chow is their regular brand, and the number of trials is n = 100. The null hypothesis is that the true market share of Woof Chow is 25%, and the alternative hypothesis is that it is not 25%.

We can use the binomial cumulative distribution function (CDF) to find the critical value. The CDF gives the probability of getting k or fewer successes in n trials, given a probability of success p. The critical value is the smallest value of k such that the CDF at k is greater than or equal to 1 - alpha, where alpha is the level of significance. In this case, alpha = 0.05.

So, we want to find the smallest k such that:

P(X <= k) >= 1 - 0.05

where X is a random variable representing the number of dog owners who say Woof Chow is their regular brand. We can use a binomial calculator or a software package to calculate the binomial CDF, or we can use a table of critical values for the binomial distribution.

The critical value for the 0.05 level of significance is k = 21. This means that if the true market share of Woof Chow is 25%, then the probability of getting 23 or more dog owners who say Woof Chow is their regular brand is less than 0.05. Since the observed number of dog owners who say Woof Chow is their regular brand is 23, which is greater than 21, we can reject the null hypothesis that the true market share is 25%.

This means that based on the survey results, we cannot conclude that Woof Chow has a market share of 25%. The survey results suggest that Woof Chow may have a market share that is greater than 25%.

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Answer:

48 items

Step-by-step explanation:

6 packs of cupcakes with 4 in them, is 24 items. and 3 packs of candy with 8 pieces in them is also 24. 24+24=48. so (6×4)+(8×3)=48

Answer:

48

Step-by-step explanation:

Answer:

1.031, 1.06, 1.306, 1.36

Step-by-step explanation:

Start by adding a 0 in the numbers that don't have a thousandths place:

1.306

1.360

1.060

1.031

Then, compare them as if the 1 doesn't exist...

31<60<306<360

Therefore...

1.031, 1.06, 1.306, 1.36

The degrees of freedom of a model refer to the number of independent pieces of information that are available to estimate the model parameters.

In other words, it represents the number of observations that are free to vary in the analysis. To view the degrees of freedom of the model, we can use the Coordinates panel in the statistical software. The total number of degrees of freedom in a model depends on the number of variables and observations in the data set.

For example, if we have a data set with 100 observations and 5 variables, including an intercept, the total number of degrees of freedom in the model would be 94. This is because the intercept uses one degree of freedom, and each additional variable uses one degree of freedom.

Therefore, the total number of degrees of freedom is equal to the number of observations minus the number of variables used in the model. The Coordinates panel provides a convenient way to view this information and can help us better understand the statistical properties of our model.

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You can put 14 boxes of candy weighing 3/4 lb each in the bin.

To determine how many 3/4 lb boxes of candy can fit in a bin, we divide the total weight of the bin by the weight of each box.

First, let's convert the mixed number 10 1/2 lbs to an improper fraction.

10 1/2 lbs = (10 * 2 + 1) / 2 = 21/2 lbs

Next, we divide the total weight of the bin (21/2 lbs) by the weight of each box (3/4 lb):

(21/2 lbs) / (3/4 lb) = (21/2) * (4/3) = (21 * 4) / (2 * 3) = 84/6 = 14

As a result, you can fill the bin with 14 boxes of sweets that each weigh 3/4 lb.

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The distance between these two numbers on a number line is equal to -10.6.

A number line can be defined as a type of graph with a graduated straight line which contains both positive and negative numbers (numerical values) that are placed at equal intervals along its length.

In Mathematics, a number line can be used to determine the difference between two numbers such as -2.2 and 8.4. Also, a number line typically increases in numerical value towards the right and decreases in numerical value towards the left.

Now, we can determine the distance by taking the difference between both values as follows:

Distance = -2.2 - 8.4

Distance = -10.6.

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Answer:

The correct answer is C. Right triangle. When the sum of the three angles in a triangle equals 180 degrees and one of the angles measures 25 degrees and another measures 45 degrees, it means that the remaining angle measures 110 degrees, which is greater than 90 degrees. This indicates that the triangle is a right triangle.

Answer: right angle

Step-by-step explanation: its right i promise

Mate's car can travel approximately 5 more minutes per gallon of gas compared to Jenna's car.

To determine how many more minutes Mate's car can travel per gallon of gas compared to Jenna's car, we would need additional information about the fuel efficiency or miles per gallon (MPG) for each car.

Fuel efficiency is typically measured in terms of miles per gallon, indicating the number of miles a car can travel on a gallon of gas.

To calculate the difference in travel time, we would also need to know the average speed at which the cars are traveling.

Once we have the MPG values for Mate's car and Jenna's car, we can calculate the difference in travel time per gallon of gas by considering their respective fuel efficiencies and average speeds.

If Mate's car has a fuel efficiency of 30 MPG and Jenna's car has a fuel efficiency of 25 MPG, we can calculate the difference in travel time by comparing the distances they can travel on a gallon of gas.

Let's assume both cars are traveling at an average speed of 60 miles per hour.

For Mate's car:

Travel time = Distance / Speed

= (30 miles / 1 gallon) / 60 miles per hour

= 0.5 hours or 30 minutes.

For Jenna's car:

Travel time = Distance / Speed

= (25 miles / 1 gallon) / 60 miles per hour

= 0.4167 hours or approximately 25 minutes.

Without specific information about the MPG values and average speeds of the cars, it is not possible to provide an accurate answer regarding the difference in travel time per gallon of gas between Mate's car and Jenna's car.

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Answer:

the value of x is 18

Step-by-step explanation:

observing the figure,

 m < 1 =94 -----> by corresponding angles

(5x-4)+m < =180 degree -----> by supplementary angles

Substitute the measure of angle 1 and solve for x,

(5x-4)+94 = 180 degree

5x=180degree - 90degree

5x=90degree

x=18 degree

Answer:

1. to find the distance to walk around arc UT, you calculate the diameter (distance around the circle) and you divide by 6 since UT is 1/6 of the circle.

the diameter of a circle can be calculated by 2*radius

the radius in the given (from S to T) is 10

2 * 10 = 20/6 = 10/3

10/3 is the distance to walk around UT

2. to find the area of one of the six sectors, you find the area of the whole circle and divide by 6 since you are only finding the area of ONE of the six sectors.

the area of a circle formula is A = πr^2

A = π10^2

A = π100

A= 314

divide by 6 to find the area of one sector

314 / 6 = 157 / 3

the area of one sector is 157/3

3. since you know the radius and the distance of one sector's curve, you can add all of these lengths by addition.

U to S = 10 (radius)

S to V = 10 (radius)

V to W = 10/3 (1/6 of the diameter)

W to X = 10/3 (1/6 of the diameter)

X to U = 20 (radius times 2 since you are going from one edge of the circle to the other)

40 + 20/3 is the distance to walk

If the degree of the equation is two, then the result leads to the quadratic equation. The following equations are entitled to the quadratic equations.

\(- $\mathrm{y}=2 \mathrm{x}^2$- $\mathrm{y}=2 \mathrm{x}^2-8$- $y=2 x^2-3 x-8$\)

What is a quadratic equation?

In the quadratic equation, the maximum power of the variable is 2 . It consists of  \($x^2, x$,\) and the constant term.

Given

1 .\($y=2 x^2$\)

2. \($y=2 x^2-8$\)

3. \($\mathrm{y}=-2+2 \mathrm{x}-8$\)

4.\($\mathrm{y}+3 \mathrm{x}=2 \mathrm{x}^2-8$\)

5. \($\mathrm{y}+3 \mathrm{x}^2=2 \mathrm{x}+3 \mathrm{x}^2-8$\)

\(y=2 x^2\)

The above expression is a quadratic equation.

2.

\(y=2 x^2-8\)

The above expression is a quadratic equation.

3.

\(y=2 x-10\)

The above expression is not a quadratic equation.

4.

\(\begin{aligned}\mathrm{y}+3 \mathrm{x} & =2 x^2-8 \\\mathrm{y} & =2 x^2-3 x-8\end{aligned}\)

The above expression is a quadratic equation.

5.

\(\begin{aligned}\mathrm{y}+3 \mathrm{x}^2 & =2 x+3 x^2-8 \\\mathrm{y} & =2 x-8\end{aligned}\)

The above expression is not a quadratic equation.

Thus, the third and fifth are not quadratic equations and the first, second, and fourth are quadratic equations.

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The area of the large rectangle shown in the image is (2 + 3 + 4)a unit square

An equation is an expression that shows the relationship between two or more numbers.

Area is the amount of space occupied by a two dimensional shape or object.

The area of a rectangle is the product of its length and width. It is given by the equation:

Area of a rectangle = length * width

From the diagram:

Width = a; length = 2 + 3 + 4

Area = length * width

Substituting the terms into the equation:

Area = (2 + 3 + 4)a

Further simplification gives:

Area = 2a + 3a + 4a

The area of the rectangle is 2a + 3a + 4a

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Lynn used \(47.826\) gallons fuel in each month.

Average is defined as the mean value which is equal to the ratio of the sum of the number of a given set of values to the total number of values present in the set.

Gallon is the unit for measuring liquids (fuel).

Mile is a unit of large distance.

Given,

Lynn drive her car for work an average of \(1100\) miles

Car get \(23\) miles per gallon.

It's mean car covers \(23\) miles distance in \(1\) gallon of fuel.

She used fuel in each month

\(=\frac{Total miles}{miles per gallon} \\=\frac{1100}{23}\\ =47.8260 gallon\)

Lynn used \(47.826\) gallons fuel in each month.

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Answer:

The answer is 60

Step-by-step explanation:

the answer is 60 because every van is 12 times that number so what is 5 time 12 its 60 so that's your answer

Answer:

Its 60

Step-by-step explanation:

Its because the pattern is to multiply By 12 every time and its 5 so its 12 times 5 which is 60 hope it helps EDGE 2021

Answer:

8r + 2

Answer:

134 questions

Step-by-step explanation:

150 x 0.89 = 133.5

Answer:

a. x = 82 degrees

b. All angles less than 90 degrees are 65 degrees and 33 degrees and 82 degrees in an acute triangle.

Step-by-step explanation:

A triangle has to equal to 180 degrees, add 65 and 33 together to get 98 degrees, subtract 180 from 98 to get 82 degrees.  Part B is self explanatory.

Answer:

-4 ≤ x <7

x is greater than or equal to -4, and x is less than 7

Step-by-step explanation:

Take each side and solve

-12 ≤ 2x -4

subtract 4 on both sides

-8 ≤ 2x

divide by 2 on both sides

-4 ≤ x

2x -4 < 10

add 4 on both sides

2x < 14

divide by two on both sides

x < 7

Final answer:

-4 ≤ x <7

Answer:

-4 ≤ x < 7

Step-by-step explanation:

Method 1: Split the inequality into two parts,

-12 ≤ 2x-4

and

2x -4 < 10

Solve.

-8 ≤ 2x

2x ≥ -8

x ≥ -4

and

2x < 14

x < 7

So, x is greater than (or equal to) -4, but less than 7.

-4 ≤ x < 7

Method 2:

-12 ≤ 2x - 4 < 10

Add 4 to both sides.

-8 ≤ 2x < 14

Divide both sides by 2.

-4 ≤ x < 7

We are given that we need to find the value of x based on two sides of a triangle (12 and 5).

We are given the side that is adjacent to the angle and the hypotenuse. This means we will use the cosine ratio (CAH).

Therefore, we will find the inverse of cosine at this value.

Therefore, the measure of x is equivalent to approximately 65.4 degrees.

Answer:

The coordinate for P' is ( -5,4)

Step-by-step explanation:

P is at ( 3,4)

We are reflecting across the line x=-1, so the y coordinate will not change

3 is 4 units from the line of reflections3 - (-1) = 4

Subtract 4 from -1

-1 -4 = -5

The new x coordinate is -5

The coordinate for P' is ( -5,4)

1. 3x = log6 216

3x = 3

x = 1

2. x - 4 = log3 243

x - 4 = 5

x= 9

3. log4 (4x - 20) = 5

4x - 20 = 45

4x = 65

x = 16.25

A logarithmic function is a type of mathematical function that relates two quantities by the use of logarithms. In particular, a logarithmic function describes the relationship between the input (or independent variable) and the output (or dependent variable) in terms of the logarithm of the input.

The general form of a logarithmic function is:

f(x) = loga(x)

where f(x) is the output, x is the input, and a is the base of the logarithm The logarithm of a number x with respect to a base a is the power to which a must be raised to obtain x. For example, if a is 10, then log10(100) = 2, because\(10^2\) = 100.

Logarithmic functions are useful for expressing quantities that vary over a large range of values, such as the brightness of stars or the acidity of solutions. They can also be used to solve exponential equations or to represent data that follows a certain pattern.

In particular, logarithmic functions have the property that they can "undo" exponential functions. That is, if we have an exponential function f(x) =\(a^x\), then its inverse function is given by \(f^-1(x)\) = loga(x). This property is often used in calculus and other areas of mathematics.

Logarithmic functions can be graphed in a variety of ways, depending on the base and other parameters of the function. The graph of a logarithmic function typically looks like a curve that gets steeper as it moves away from the origin.

In summary, a logarithmic function is a type of mathematical function that relates two quantities by the use of logarithms. They are useful for expressing quantities that vary over a large range of values and can "undo" exponential functions.

1. 3x = log6 216

3x = 3

x = 1

2. x - 4 = log3 243

x - 4 = 5

x= 9

3. log4 (4x - 20) = 5

4x - 20 = 45

4x = 65

x = 16.25

4. log9(3 - x) = log9 (5x – 15)

3 - x = 5x - 15

4x = 18

x = 4.5

5. log81 (x + 20) = log81 (6x)

x + 20 = 6x

5x = 20

x = 4

6. log9\((3x^2)\) = log9 (2x + 1)

\(3x^2\) = 2x + 1

\(3x^2\) - 2x - 1 = 0

(3x + 1)(x - 1) = 0

x = -1/3 or x = 1 (but x = -1/3 doesn't work because it results in a negative argument of the logarithm)

7. log4(x - 1) = log4(12)

x - 1 = 12

x = 13

8. log7(5 - x) = log7 (5)

5 - x = 5

x = 0

9. logx (5x) = 2

5x = \(x^2\)

\(x^2\) - 5x = 0

x(x - 5) = 0

x = 0 or x = 5 (but x = 0 doesn't work because it results in an undefined logarithm)

10. log5 (-3x) < 1

-3x < 5

x > -5/3

11. log6x > log6 (4 - x)

x > 4 - x

2x > 4

x > 2

12.  log10 (x - 3) < 2

x - 3 < 100

x < 103

13. log2 (x - 5) > log2 (3)

x - 5 > 3

x > 8

14. log7 (8x + 5) > log7 (6x - 18)

8x + 5 > 6x - 18

2x > -23

x > -11.5

15. log9 (3x - 3) < 1.5

3x - 3 < 27

x < 10

16. log10 (2x - 2) < log10 (7 - x)

2x - 2 < 7 - x

3x < 9

x < 3

17. log9 (x - 1) > log9 (2x)

x - 1 > 2x

-x > -1

x < 1

18. log16 x ≥ 0.5

x ≥ √16

x ≥ 4

19. log3 (−x - 34 + 5) > log3 (x + 2)

-x - 29 >

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Answer:

3+4+5+11= 56

Step-by-step explanation:

Answer:

64 square centimeters

Step-by-step explanation:

The surface are of a pyramid is found by finding the sum of the area of the four sides and the base.

Finding the triangular face:

Area of triangle = \(\frac{1}{2} b h\) = \(\frac{1}{2}*4*6 = 12\)

12 * 4 (4 sides) = 48 square cm

Finding the Base = \(w * l = 4 * 4 = 16\)

Finally, we add it together. 48 + 16 = 64

The required values are;

(2). x = 88°

(3). x = 5.

Angles inside a polygon are referred to as interior angles. A triangle, for instance, has three internal angles. Interior angles are sometimes defined as "angles confined in the interior area of two parallel lines when they are crossed by a transversal."

Given:

(2). The exterior angle is 52°.

So, the sum of all the interior angles in the polygon = (5 - 2)180

x + (180 - 52) + 2x + x + 2 + 90 = 560

4x + 208 = 560

4x = 352

x = 88

(3). From the diagram of the triangle,

12x - 20 = 2 (3x + 5)

12 x - 6x = 10 + 20

6x = 30

x = 5

Therefore, the values are x = 88 and x = 5.

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Answer:

8

Step-by-step explanation:

First you divide 8/2 bc the equation for area of a triangle is 1/2 x b x h and you get 4. Now you divide 32/4 and you are left with 8, which is the base.

The answer is (D), the function has at least one zero in the set of complex numbers, is correct.

What is the polynomial function?

A polynomial function is defined as a function in which the highest power of the independent variable is finite. The degree of a polynomial function is equal to the highest power of the independent variable.

In this case, the highest power of x is x^5, so the degree of the function is 5.

Therefore, the answer is (D), the function has at least one zero in the set of complex numbers, is correct.

All polynomial functions have at least one zero in the set of complex numbers by the Fundamental Theorem of Algebra. The other answers (A), (B), and (C) are incorrect.

Hence, the answer is (D), the function has at least one zero in the set of complex numbers, is correct.

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Answer:

$140.90

Step-by-step explanation:

**22% = 0.22**

X = 109.90 / (1 - 0.22)

X = 109.90 / 0.78

X = 140.90

We must calculate the standard deviation of the differences between the values in the matched pairs in order to build a confidence interval using those values.

The 95% confidence interval is another frequently used measure of accuracy. In order to calculate it, a range of values that is 95% likely to contain the true population mean must be created using the standard deviation.

According to the 68-95-99.7 Rule, 95% of values are within two standard deviations of the mean, so to calculate the 95% confidence interval, one need only add and deduct two standard deviations from the mean.

Data dispersion in relation to the mean is quantified by a standard deviation, or σ. Data are said to be more closely clustered around the mean when the standard deviation is low and more dispersed when the standard deviation is high.

The difference between the values in the matched pairs' standard deviation is calculated.

The complete question is:

To construct a confidence interval using matched pairs, we must compute the standard deviation of the ___ between the values in the matched pairs.

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We must calculate the standard deviation of the differences between the values in the matched pairs in order to build a confidence interval using those values.

What is the difference between standard deviation and confidence interval?

The 95% confidence interval is another frequently used measure of accuracy. In order to calculate it, a range of values that is 95% likely to contain the true population mean must be created using the standard deviation.

According to the 68-95-99.7 Rule, 95% of values are within two standard deviations of the mean, so to calculate the 95% confidence interval, one need only add and deduct two standard deviations from the mean.

Data dispersion in relation to the mean is quantified by a standard deviation, or σ. Data are said to be more closely clustered around the mean when the standard deviation is low and more dispersed when the standard deviation is high.

The difference between the values in the matched pairs' standard deviation is calculated

To construct a confidence interval using matched pairs, we must compute the standard deviation of the ___ between the values in the matched pairs.

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Answer:

3 Cups of flour

Step-by-step explanation:

1 batch of cookies = 1 cup of flour

2 batch of cookies = 2 cups of flour

3 batch of cookies = 3 cup of flour

I hope i helped you :)