A sinusoidal graph has a maximum point at (-22, 9) and a midline of y = -5. Determine the range of the graph. Be sure to show calculations or explain your answer. /2
2. If the range of a sinusoidal function is -5.6 ≤ y ≤ 3.8, determine the equation of the midline and the amplitude of the graph.
Please explain thanks!

Option C

Answer:

The vertical line test is a graphical method of determining whether a curve in the plane represents the graph of a function by visually examining the number of intersections of the curve with vertical lines. and, as a result, any vertical line in the plane can intersect the graph of a function at most once.

Step-by-step explanation:

Hope it helps

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Answer: D

Step-by-step explanation: mark me brainliest

The acceleration is 2 m/s²

The first step is to write out the parameters given in the question

Acceleration is the rate at which an object changes its velocity over time.

The formula to calculate the acceleration is v²= u² + 2as10²= 0² + 2(a)(25)100= 2a(25)100= 50a

Divide both sides by the coefficient of a which is 50

100/50 =  50a/50

a= 2

Hence the acceleration of the object is 2 m/s²

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Answer:

123

Step-by-step explanation:

Answer:

he made a good choice, the width is: 4 inches

Step-by-step explanation:

12 x 8 x _4_ = 384

Answer:

45% of people attending supported the home team

Solving problems involving normal proportions requires careful attention to detail, as well as a good understanding of statistical concepts such as standardization and probability.

When solving a problem where you want to find normal proportions, you can follow the following steps:

Define the problem: Clearly define the problem you are trying to solve, including any relevant details such as the population, sample size, and the variable of interest.

Check assumptions: Check if the conditions for using normal distributions are met. The data should be continuous, the sample size should be large enough, and the distribution should be approximately normal.

Calculate the sample mean and standard deviation: If you are working with a sample, calculate the sample mean and standard deviation.

Standardize the data: Convert the data into standard normal distribution, by subtracting the mean from each observation and dividing by the standard deviation.

Determine the probability: Once the data has been standardized, you can use a standard normal distribution table or a calculator to determine the probability of the variable falling within a certain range or above/below a certain value.

Interpret the results: After determining the probability, interpret the results in the context of the problem. For example, you might conclude that there is a 95% chance that a randomly selected observation falls within a certain range, or that the variable of interest is higher than a certain value in 5% of cases.

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Answer: $52.57 for each basic yearbook and $153.5 for each deluxe yearbook

Step-by-step explanation:

First, do Mr. Boyer's class to find out how much each deluxe yearbook is:

2,763 ÷ 18 = $153.5

Then do, Mrs. Wu's class: First, multiply 153.5 by the 6 deluxe yearbooks ordered;

153.5 x 6 = 921

After, subtract 921 from 2,025:

2,025 - 921 = 1104

The remaining $1104 is the total cost of the 21 basic yearbooks ordered. Divide the total cost by the number of yearbooks ordered to find the unit price:

1104 ÷ 21 = 52.5714285714

Round to the nearest hundredth: $52.57

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Answer:

H. 163.3

Step-by-step explanation:

The formula for the surface area of a cone is πrl(area of the side) + π\(r^{2}\)(area of the base), where l is the slant height and r is the radius. We know that the radius is 4 and the slant height is 9, so we plug it into the equation to get π(4)(9) + \(\pi r^{2}\) = 36π+16π = 52π which rounds to 163.3.

5 (l) and 25 (ml)

HOPED I HELPEDDD

SOLUTION:

Step 1:

In this question, we are given the following:

A pancake recipe asks for one and one-half times as much milk as flour.

If three and one-half cups of milk are used, what quantity of flour would then be needed, according to the recipe?

Step 2:

The details of the solution are as follows:

The pancakes require 1.5 cups of milk and 1 cup of flour or a ratio of 1.5:1 or a fraction of

(1.5) / (1)

If you have 3.5 cups of milk you need x cups of flour

Set up a ratio of 1.5 / 1 = 3.5 / x

(1.5 divided by 1 equals 3.5 divided by x)

Cross multiply one numerator by the other denominator, and then the other way.

1.5x = 3.5

divide both sides by 1.5

x = 35/15 = 2 1/3 cups

CONCLUSION:

The quantity of flour that would be needed, according to the recipe =

Answer:

See below

Step-by-step explanation:

The phrase itself is a famous few lines extracted from "The Road Not Taken" by poet Robert Frost. The statement "taking the road less traveled" means that someone is acting independently, freeing themselves from the conformity of others (who choose to take 'the road more often traveled.'), generally making their own choices, and perhaps leaving a new trail that will become the road more often traveled

Answer:

1¹/5

Step-by-step explanation:

Answer:

y=-8/5x+77/5

Step-by-step explanation:

The equation of line that passes through the points (4, 9) and (9, 1) is y=-8/5x+77/5. Hope it helps!

The equation of line passes through the points (4, 9) and (9, 1) will be;

⇒ y = - 8/5x + 77/5

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the line are (4, 9) and (9, 1)

Now,

Since, The equation of line passes through the points (4, 9) and (9, 1)

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (1 - 9) / (9 - 4)

m = - 8 / 5

Thus, The equation of line with slope - 8/5 is,

⇒ y - 9 = - 8/5 (x - 4)

⇒ y - 9 = - 8/5x + 32/5

⇒ y = - 8/5x + 32/5 + 9

⇒ y = - 8/5x + 77/5

Therefore, The equation of line passes through the points (4, 9) and (9, 1) will be;

⇒ y = - 8/5x + 77/5

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Answer:

1/2 1/6 1/6

Step-by-step explanation:

Answer:

$35.75

Step-by-step explanation:

35%=35/100

35/100x55=19.25

55-19.25=35.75

The 99% confidence interval estimate for the difference between the proportions of all elderly men and women who are married is given as follows:

(0.0742, 0.2658).

The difference between the proportions in this problem is given as follows:

0.65 - 0.48 = 0.17.

The standard error for each sample is given as follows:

Hence the standard error for the distribution of differences is given as follows:

\(s = \sqrt{0.0275^2 + 0.025^2}\)

s = 0.0372.

The critical value for a 99% confidence interval is given as follows:

z = 2.575.

The lower bound for the interval is given as follows:

0.17 - 2.575 x 0.0372 = 0.0742.

The upper bound for the interval is given as follows:

0.17 + 2.575 x 0.0372 = 0.2658.

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The margin of error for the college students' formal earnings at a 97% confidence level is 233.69.

To calculate the margin of error for a confidence interval, you can use the formula:

Margin of Error = Z  (Standard Deviation / √(sample size))

In this case, the confidence level is 97%,

Z-value = 1.96 (for a two-tailed test).

sample size is n = 74, and the standard deviation σ = 874.

Plugging in the values, the margin of error can be calculated as:

Margin of Error = 1.96 (874 / √(74))

= 1.96  (874 / √(74))

= 233.69

Therefore, the margin of error for the college students' formal earnings at a 97% confidence level is 233.69.

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Answer:

A.(-1,-1)

E.(4,64)

Step-by-step explanation:

We are given that

Function

\(y=x^3\)

We have to find all possible input-output pairs for the function.

Substitute x=-1

\(y=(-1)^3=-1\)

Then, the pair is (-1,-1)

Now, substitute x=-2

\(y=(-2)^3=-8\)

Then, pair is (-2,-8)

Now, substitute x=3

\(y=3^3=27\)

Now, substitute x=4

\(y=4^3=64\)

Now, substitute x=1

Then, y=1

Hence, Option A and E are true.

A.(-1,-1)

E.(4,64)

The possible input-output pairs for the function are \((-1,-1)\) and \((4,64)\)

The given function is,

                     \(y=x^{3}\)

When x = -1 then \(y=(-1)^{3} =-1\)

When x = 4 then \(y=4^{3}=64\)

When x = -2 then  \(y=(-2)^{3}=-8\)

Hence,   the possible input-output pairs for the function are \((-1,-1)\) and \((4,64)\)

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To draw the digital circuit corresponding to the expression x(yz' + z), we can break it down into logical operations.

The given expression involves the logical operations of NOT, AND, and OR. In the circuit diagram, we would have three inputs: x, y, and z. Firstly, we need to calculate the complement of z (represented as z') using a NOT gate. The output of the NOT gate would then be connected to one input of the AND gate. The other input of the AND gate would be connected directly to the input y.

The output of the AND gate would be connected to one input of the OR gate. Finally, the input x would be directly connected to the other input of the OR gate. The output of the OR gate would be the result of the expression x(yz' + z).

The circuit would consist of an input x connected directly to an OR gate, while an input y would be connected to one input of an AND gate along with the complement of input z (z') obtained through a NOT gate. The output of the AND gate would be connected to the other input of the OR gate, and the output of the OR gate would represent the result of the given expression x(yz' + z).

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Answer:

B=27 degree angle

The lines L1 and L2 intersect at the point (-22/3, -85, -12). If the direction vectors are parallel, the lines are either parallel or coincident. If the direction vectors are not parallel, the lines are skew or they intersect.

To determine the relationship between the lines L1 and L2, we need to compare their direction vectors.

For L1, the direction vector is given by (coefficient of t):

v1 = (-3, 12, -9)

For L2, the direction vector is given by (coefficient of s):

v2 = (2, 0, 6)

If the direction vectors are parallel, the lines are either parallel or coincident. If the direction vectors are not parallel, the lines are skew or they intersect.

To check if the direction vectors are parallel, we can calculate their cross product:

v1 x v2 = (-3, 12, -9) x (2, 0, 6)

= (-72, -6, -24)

If the cross product is the zero vector (0, 0, 0), then the direction vectors are parallel, indicating that the lines are either parallel or coincident.

Since the cross product (-72, -6, -24) is not the zero vector, the direction vectors v1 and v2 are not parallel. Therefore, the lines L1 and L2 are either skew or they intersect.

To determine if they intersect, we can set the corresponding coordinates equal to each other and solve for t and s:

1 - 3t = 3 + 2s --> 2s - 3t = -2 (Equation 1)

3 + 12t = -85 --> 12t = -88 (Equation 2)

9 - 9t = 9 + 6s --> 6s - 9t = 0 (Equation 3)

Solving Equation 2, we find t = -88/12 = -22/3.

Substituting t = -22/3 into Equation 1, we can solve for s:

2s - 3(-22/3) = -2

2s + 22 = -2

2s = -24

s = -12

So, when t = -22/3 and s = -12, the coordinates of L1 and L2 are equal, indicating that the lines intersect at that point.

Therefore, the lines L1 and L2 intersect at the point (-22/3, -85, -12).

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Answer:

The total number of bacteria present in the sample after 2 hours is 12.

Step-by-step explanation:

In the function f(2) = 12, 2 represents x, and 12 represents the output when x is equal to 2.

In the context of this problem, this means that f(2) = 12 represents how in 2 hours, there were 12 bacteria present in the sample.

Answer:

The total number of bacteria present in the sample after 2 hours is 12.

Step-by-step explanation:

f(x) is the total number of bacteria, while x is the number of hours. We are given:

f(2)=12

2 is x (the input) and 12 is f(x) (the output).

Since x=2 and x=number of hours, 2 describes the number of hours.

Since f(x)= 12 and f(x)= number of bacteria, 12 describes the number of bacteria.

Therefore, after 2 hours, the total number of bacteria present is 12.

The mean of the sample mean of 36 cans of Pepsi is (11.97, 12.03), by using the standard error of the mean.

To calculate the mean of the sample mean, we need to first calculate the standard error of the mean (SEM) by divide the standard deviation of the population by the square root of the sample size. In this case, the centred deviation is 0.09 oz, which is the standard deviation of the population. And the sample size is 36. Therefore, the SEM of the sample mean is 0.09 / sqrt(36) = 0.015 [1].

The mean of the sample mean of 36 cans can be calculated by adding up the values of all 36 cans and dividing by 36. However, without additional information on the values of each can, we cannot determine the exact value of the mean of the sample mean of 36 cans. However, we can say with 95% confidence that the true mean of the population falls within a range of +/- 2 SEM.

Therefore, the 95% confidence interval for the sample mean would be 12 +/- 2 * 0.015, which is (11.97, 12.03).

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Answer:

the sky is a blanket of stars and his words are daggers are metaphors the rest are similes

Step-by-step explanation:

i did it on edg

Metaphors:

The sky is a blanket of stars

His words are daggers

Similes:

The sky is like a blanket of stars

His words are as sharp as daggers

His words are live daggers

We have,

Metaphors and similes are both figures of speech used to make comparisons between two unrelated things.

They create vivid and imaginative descriptions by equating or likening one thing to another.

Metaphors directly state that one thing is another thing, without using "like" or "as."

They make a direct comparison by asserting that something is something else.

For example, "The sky is a blanket of stars" compares the sky to a blanket of stars, implying that the sky is vast and filled with numerous stars.

Similes, on the other hand, use "like" or "as" to make a comparison between two things.

They highlight similarities by stating that one thing is like or resembles another thing.

For instance, "The sky is like a blanket of stars" implies that the sky shares some characteristics with a blanket of stars, such as its vastness and the sense of being covered.

Thus,

Metaphors:

The sky is a blanket of stars

His words are daggers

Similes:

The sky is like a blanket of stars

His words are as sharp as daggers

His words are live daggers

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A correlation coefficient is a statistic that tells us the strength and direction of the linear relationship between two variables.

The correlation coefficient is a measure of the degree of association between two variables. It quantifies how closely the data points align along a straight line. The coefficient can range from -1 to +1, where -1 represents a perfect negative linear relationship, +1 represents a perfect positive linear relationship, and 0 indicates no linear relationship.

The sign of the coefficient indicates the direction of the relationship, while the magnitude indicates the strength. A correlation coefficient of 0 does not necessarily imply the absence of any relationship; it only means that there is no linear association between the variables. It is important to note that correlation does not imply causation, as other factors may be influencing the relationship.

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Domain refers to the x values. These values are the age of a person

Range refers to the y values. These values are the books read

for each value of a domain, there must be a corresponding value of the range

The right answer therefore is

Domain : (29, 36, 65)

Range: (17, 37, 42)

The image of the triangle after dilation centered at the origin with a scale factor of 5/3 is shown in following graph.

We know that the scale factor is nothing but the ratio of the size of the transformed image to the size of the original image.

From the attached figure the coordinates of the original triangle are:

(6, 9), (9, 9) and (9, 6)

And the scale factor is k = 3/5

Using above definition of scale factor, the coordiantes of the dilated triangle would be,

5/3 × (6, 9) = (10, 15)

5/3 × (9, 9) = (15, 15)

5/3 × (9, 6) = (15, 10)

Thus, the image of the triangle after dilation is shown in following graph.

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