If m/CHF = 106°, then what is m/FHD?

The Scale factor was used to enlarge the picture is 7/ 31.5.

A scale factor is a numerical value that can be used to alter the size of any geometric figure or object in relation to its original size. It is used to find the missing length, area, or volume of an enlarged or reduced figure as well as to draw the enlarged or reduced shape of any given figure. It should be remembered that the scale factor only affects how big a figure is, not how it looks.

Given:

A picture is 7 inches wide and 9 inches long.

A photographer enlarges it so it is 31.5 inches wide and 40.5 inches long.

So, scale factor is

= Original dimension / Enlarged dimension

= 9/ 40.5

= 90/ 405

= 10/45

= 2/9

Now, simplifying the scale factor 7/31.5 because it has Nr < Dr.

= 7/ 3.15

= 70/31.5

= 2/9

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Answer:

27+X=42

X=15

Step-by-step explanation:

interior opposite angle are equal.

The 95% confidence interval for the mean sodium content of the "reduced sodium" hot dogs is calculated to be (297.70 mg, 322.30 mg).

To find the 95% confidence interval, we use the formula:
Confidence Interval = (sample mean) ± (critical value) * (standard deviation / √sample size)
Given that the sample mean sodium content is 310 mg, the standard deviation is 36 mg, and the sample size is 40, we need to determine the critical value for a 95% confidence level.The critical value corresponds to the level of confidence and the degrees of freedom, which is the sample size minus 1. Looking up the critical value for a 95% confidence level and 39 degrees of freedom in the t-distribution table, we find it to be approximately 2.024.
Plugging in the values into the formula, we get:
Confidence Interval = 310 mg ± (2.024) * (36 mg / √40)
Simplifying the expression, we find:
Confidence Interval ≈ (297.70 mg, 322.30 mg)Therefore, we can say with 95% confidence that the mean sodium content of this brand of "reduced sodium" hot dogs falls within the range of 297.70 mg to 322.30 mg.

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A large population with a sample size of 30 or more has the smallest standard deviation, as the standard deviation is inversely proportional to the sample size. A smaller standard deviation indicates more consistent data. To minimize the standard deviation, the sample size depends on the population's variability, with larger sizes needed for highly variable populations.

If the population is large, a sample size of 30 or more will give the smallest standard deviation to the statistic. The reason for this is that the standard deviation of the sample mean is inversely proportional to the square root of the sample size.

Therefore, as the sample size increases, the standard deviation of the sample mean decreases.To understand this concept, we need to first understand what standard deviation is. Standard deviation is a measure of the spread of a dataset around the mean. A small standard deviation indicates that the data points are clustered closely around the mean, while a large standard deviation indicates that the data points are more spread out from the mean. In other words, a smaller standard deviation means that the data is more consistent.

when we are taking a sample from a large population, we want to minimize the standard deviation of the sample mean so that we can get a more accurate estimate of the population mean. The sample size required to achieve this depends on the variability of the population. If the population is highly variable, we will need a larger sample size to get a more accurate estimate of the population mean. However, if the population is less variable, we can get away with a smaller sample size.

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What could best be described as threatening according to "The Last Dog" is 'a hissing rattlesnake'.

The correct answer choice is option D.

At the beginning of "The last dog", Brock was at the gates of a sealed dome. He was nervous about going outside the dome because he had heard that people who leave never return.

Brock found a puppy and takes the puppy named Brog inside the dome. There were scientists inside the dome who wanted to experiment on Brog. But, the scientist could not experiment on Brock and Brog because they thought they had dangerous diseases.

Hence, they allowed them to leave the dome.

Complete question:

Which of the following could best be described as threatening according to "The Last Dog"?

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The population is the entire set of individuals or items of interest in a particular study, and it is not necessarily the same size as the sample which is a subset of the population.

Population is a term used to refer to the entire set of individuals or items that are of interest in a particular study. Population size is not necessarily the same as sample size. Sample size is the number of individuals or items that are selected from the population to participate in the study. The sample may be selected randomly, or it may be selected based on specific criteria. When collecting data, researchers use the sample as a representation of the population in order to identify patterns, relationships, and trends that can be used to make inferences about the population. When constructing a sample, it’s important to make sure that it is random and representative of the population, otherwise the results of the study may be biased.

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Answer:

a. 8

b. 61, 23, 84

Step-by-step explanation:

As we can see, point S is between points R and T, therefore:

------------

After 1 hour, the alcohol percentage of the beer in the tank will be approximately 5.62%. Initially, the tank contains 100 gallons of beer with 5% alcohol, resulting in 5 gallons of alcohol. The alcohol percentage is approximately 3.2/40 * 100 = 8%.

For every minute, 1 gallon of beer with 7% alcohol is pumped in, contributing 0.07 gallons of alcohol. At the same time, 2 gallons of beer are drained from the tank, resulting in a loss of 0.1 gallons of alcohol. After 60 minutes, a total of 60 gallons of 7% alcohol beer is pumped in, adding 4.2 gallons of alcohol. Meanwhile, 120 gallons of beer are drained out, removing 6 gallons of alcohol. Combining the initial alcohol content with the inflow and outflow, we find that the tank contains 100 + 60 - 120 = 40 gallons of beer after 1 hour, with 5 + 4.2 - 6 = 3.2 gallons of alcohol. Thus, the alcohol percentage is approximately 3.2/40 * 100 = 8%.

In conclusion, after 1 hour, the beer in the tank will have an alcohol percentage of approximately 5.62%. The calculation takes into account the initial alcohol content, the inflow rate of beer with higher alcohol percentage, and the outflow rate of the mixed beer. By considering the amounts of alcohol gained and lost during the hour, we determine that the tank will contain 40 gallons of beer with 3.2 gallons of alcohol. Dividing the alcohol content by the total volume of beer and multiplying by 100 yields the final alcohol percentage.

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The rate at which the machine crushes dry fruit is option (D) 4 1/3 kilograms per minute.

To find the rate at which the machine crushes dry fruit, we need to divide the amount of fruit crushed by the time taken. We can convert the mixed number of 3 1/4 kilograms to an improper fraction as follows

3 1/4 = (3 x 4 + 1)/4 = 13/4

So the rate at which the machine crushes dry fruit is

rate = amount of fruit crushed / time taken

= (13/4) / (3/4)

= 13/4 x 4/3

= 13/3

Convert to mixed fraction

= 4 1/3

Therefore, the correct option is (D) 4 1/3

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The given question is incomplete, the complete question is:

A processing machine crushes 3 1/4 kilograms of dry fruits in 3/4 minute. What is the rate, in kilograms per minute, at which the machine crushes dry fruit? A. 3/13 B. 16/39 C. 2 7/16 D. 4 1/3

Answer:2

Step-by-step explanation:

Slope = rise/run = (8-2)/(5-2) = 6/3 = 2

The formula mass of vitamin C (C_6H_8O_6) is 176.13 g/mol.

Molarity is defined as the number of moles of a solute present in one liter of a solution. A stock solution is a solution of known concentration and is used to make more diluted solutions.

Here, the given question requires calculating the molarity of a vitamin C stock solution used in the experiment, considering that vitamin C is ascorbic acid, C_6H_8O_6. The formula mass of vitamin C (C_6H_8O_6) is 176.13 g/mol.

The molarity of the vitamin C stock solution can be calculated using the formula: Molarity = (Number of moles of solute) / (Volume of solution in liters).

To calculate the molarity of the stock solution, we need to know the mass of the solute and the volume of the solution. However, the given question does not provide either the mass of the solute or the volume of the solution.

Therefore, we cannot calculate the molarity of the stock solution with the information given.

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Answer:

I'm pretty sure that the answer is 11 and 12

Step-by-step explanation:

11 and 12 both equal to 180 which makes them supplementary angles

Answer:

I also agree that it is 11 and 12

Step-by-step explanation:

Analysis, a form of horizontal analysis, is a method used to identify patterns in data across different periods. It involves calculating the ratio of the analysis period amount to the base period amount, multiplied by 100. This calculation helps to assess the changes and trends in the data over time.

Analysis, as a form of horizontal analysis, provides insights into the changes and trends in data over multiple periods. It involves comparing the amounts or values of a specific variable or item in different periods. The purpose is to identify patterns, variations, and trends in the data.
To calculate the analysis, we take the amount or value of the variable in the analysis period and divide it by the amount or value of the same variable in the base period. This ratio is then multiplied by 100 to express the result as a percentage. The resulting percentage indicates the change or growth in the variable between the analysis period and the base period.
By performing this analysis for various items or variables, we can identify significant changes or trends that have occurred over time. This information is useful for evaluating the performance, financial health, and progress of a business or organization. It allows stakeholders to assess the direction and magnitude of changes and make informed decisions based on the patterns revealed by the analysis.

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The area of the sector is 72f

The given parameters are:

Angle = f

Diameter = 24

Start by calculating the radius

r = Diameter/2

r = 24/2

r = 12

The area of the sector is

A = (θ/2) × r^2

So, we have

A = (f/2) * 12^2

Evaluate

A = 72f

Hence, the area of the sector is 72f

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The correct answer is (b) all real numbers except odd multiples of π/2. The domain of validity for cscθ (cosecant) is restricted because cosecant is undefined when the sine of an angle is zero.

In the trigonometric identity cscθ = 1/sinθ, the denominator sinθ becomes zero at odd multiples of π/2 (such as π/2, 3π/2, 5π/2, etc.), resulting in a division by zero error. Therefore, the cosecant function is not defined for these values of θ.

For all other real numbers θ, the sine function is non-zero and well-defined, allowing us to calculate the reciprocal of the sine and determine the value of the cosecant. Hence, the domain of validity for cscθ is all real numbers except odd multiples of π/2, as stated in option (b).

It's important to note that in trigonometry, the domain of validity is determined by avoiding any values that would lead to undefined expressions or division by zero errors.

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The domain of validity for csc θ = 1/sin θ is all real numbers except multiples of π, because at these points the sine function equals zero, and division by zero is undefined.

In mathematics, the cosecant function (csc), is defined as the reciprocal of the sine function, or 1/sinθ. The domain of a function are all the possible input values that will yield real numbers (output). For the csc function, its domain includes all real numbers except where the denominator is zero because division by zero is undefined.

In the unit circle context, sine equals zero at 0, π, 2π, ..., and the negative counterparts. Basically, these are the multiples of π. Thus, for the csc function, the domain is all real numbers except multiples of π, which matches option d in your choices.

The domain of validity for csc θ = 1/sin θ is all real numbers except multiples of π.

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The correct 95% confidence interval for the proportion of drivers who react more quickly to the new light is (0.53, 0.67).

To calculate the confidence interval for the proportion of drivers who react more quickly to the new light, we can use the formula:

CI = p ± zα/2 √((p(1-p))/n)

where p is the proportion of drivers who react more quickly to the new light, n is the sample size, and zα/2 is the z-score for the desired confidence level (in this case, 95% corresponds to zα/2 = 1.96).

Substituting the given values, we get:

CI = 0.6 ± 1.96 √((0.6*0.4)/n)

Since we don't know the sample size, we can't calculate the exact confidence interval. However, we can see that the margin of error is proportional to 1/√n, which means that larger sample sizes will result in narrower confidence intervals.

Based on the given answer choices, we can see that the margin of error is 0.07, which corresponds to a sample size of around 200. So, if we assume that the sample size is large enough to use the normal approximation, we can calculate the confidence interval as:

CI = 0.6 ± 0.07

which gives us (0.53, 0.67) as the correct answer.

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Answer:

s=42

Step-by-step explanation: 126 divided by 3 = 42

42mph

Answer:

\(18x+27y-45z\)

Step-by-step explanation:

\(9(2x+3y-5z)\)

\(= 9(2x)+9(3y)+9(-5z)\)

\(=18x+27y-45z\)

I would appreciate it if you mark my answer as brainliest.

Answer:  18x + 27y -45z

Step-by-step explanation:

9(2x + 3y - 5z)

= 18x + 27y -45z

The answer to the above questions are as follows: #1) The value of k is -1.#2) The minimum value is -6.#3) The maximum value is 4. An amplitude of 5 units, a period of 180°, and a maximum at (0, -1).To find out: The value of k, minimum value, and maximum value of the given function.

Given information: An amplitude of 5 units, a period of 180°, and a maximum at (0, -1).To find out: The value of k, minimum value, and maximum value of the given function.

Solution: Given amplitude of the function is 5 units, so it can be written as: y = 5 sin(x) [as the sine function has an amplitude of 1]. Now, we have to find the value of k. For this, we need to determine the vertical shift or displacement of the function from the x-axis. For that, we have given that the maximum value of the function is at (0, -1). This tells us that the value of k is -1. So, the function becomes: y = 5 sin(x) - 1

The period of the function is 180°, which means the function completes one cycle in 180°. The formula to calculate the period of the function is: T = 360° / b [where b is the coefficient of x]

As the period is given as 180°, let's calculate the value of b.180° = 360° / b⇒ b = 2

Therefore, the function becomes: y = 5 sin(2x) - 1

Now, to find the minimum value of the function, we need to find the shift of the function from the x-axis, which is 1 unit down. Therefore, the minimum value of the function is 5 × (-1) - 1 = -6. The maximum value of the function can be found as 5 × (1) - 1 = 4. Hence, the answer to the above questions are as follows: #1) The value of k is -1.#2) The minimum value is -6. #3) The maximum value is 4.

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a. The shape of the box is a cuboid.

Mathematicaly, the volume of a cuboid is L * B * H

With respect to the given dimensions in the question, the volume of the box would be;

w * ( w + 12) * (27-w)

Since we have the value of the volume already, we can simply expand the brackets and equate to the given volume.

Hence;

w(w + 12)(27-w) = 4860

w( w(27-w) +12(27-w)) = 4860

w(27w - w^2 + 324 -12w) = 4860

w(27w -12w + 324 - w^2) = 4860

w(15w + 324 - w^2) = 4860

Thus, we have ;

15w^2 + 324w - w^3 = 4860

So the polynomial equation that can be used to get the dimension of the box is ;

b. We want to solve the equation above

15w^2 + 324w - w^3 = 4860

We solve the equation so as to get the values of w

Kindly note that because the polynomial equation is cubic, we shall be expecting three answers;

Thus, we proceed as follows;

Let us express the polynomial in the normal form as follows

-w^3 + 15w^2 + 324w - 4860 = 0

Let us now factorize;

-w^2( w -15) + 324( w - 15) = 0

(w - 15)( -w^2 + 324) = 0

Thus;

w-15 = 0 or 324 - w^2 = 0

Hence, w = 15 or w^2 = 324

So w = 15 or w = √324

w = 15 or ± 18

So the values of w are 15 , 18 or -18

c. The possible dimensions

We simply substite the value of w at each of the sides

The sides are ; w, 27-w and w + 12

at w = 15, we have

15 , 27-15 and 15 + 12 = 15, 12 and 27

At w = 18, we have

18, 27-18 and 18 + 12

18, 9 and 30

Lastly, we have w = -18

so we have ;

-18 , 27-(-18) and -18 + 12

-18, 45 and -6

d. Which set of dimensions is preferred

The dimension set 1 and 2 are preferred

i.e 18, 9 and 30 or 15,12 and 27

This is becasuse the last set of dimensions is not possible because the dimensions of a cuboid cannot be negative

Answer:

b and c

Step-by-step explanation:

since the slope of the graph is pages edited/time, we know that the slope (or rate) of pages edited will be 3 pages every 5 minutes since the slope is constant. is the slope is 3/5 we can determine that it will be

0.6pages edited/1min

And the graph of g(x) is a shifted version of f(x). We will get g(x) when we shift f(x) by 9 units to the left and 2 units up.

The sketch of g(x) is the following.

Answer:

Numerical length of VX = 20

Step-by-step explanation:

Given that VX is a line segment which has a point W on it.

Kindly refer to the attached diagram for the given points.

We are also given the following dimensions:

\(VX=4x\\VW=3x\ and \\WX=5\)

To find:

Numerical length of VX = ?

Solution:

As we can clearly see from the attached diagram:

\(VX = VW + WX\)

Putting the given values:

\(4x=3x+5\)

Now, let us solve for \(x\) and then will put the value of \(x\) back to find the numerical value of VX.

\(\Rightarrow 4x-3x=5\\\Rightarrow x =5\)

Now,

\(VX = 4 \times x = 4\times 5 =\bold{20}\)

Therefore, numerical value of VX is 20.

Answer:

15

Step-by-step explanation:

It does not divide evenly, but there are 15 groups of 6 in 95.

Answer:

8(h)=96

Step-by-step explanation:

Remember when you are writing a multiplication equation, it's a division backwards.

96/8=h

h×8=96

hope this helps you

goodluck

Answer: 8x=96

Step-by-step explanation:

8X = 96

X = 96/8

X = 12 hours

The height of the cylinder with a surface area of 78π and radius of 3in is 10 inches.

A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.

The surface area of cylinder is expressed as;

A = 2πrh + 2πr²

Given the data in the question;

Plug the given values into the above equation and solve for h.

A = 2πrh + 2πr²

h = ( A - 2πr² ) / 2πr

h = ( 78π - 2π( 3 )² ) / 2π( 3 )

h = ( 78π - 18π ) / 6π

h = 60π / 6π

h = 10 in

Therefore, the height is 10 inches.

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Answer:

.65m -22 = cost

Step-by-step explanation:

121 +0.65(m-220)    <=======use distributive property to expand the R term

= 121   + .65m - 143      simplify

= .65m -22

Answer:

We bought 10 Pounds of Chocolate, and 5 Pounds of Candy.

Step-by-step explanation:

Hey!

==================================================================

Let's make a chart!

                 Lbs     Price  Cost

Chocolate | x      | 2.50 | 2.50x

Candy       | 15-x | 3.00  | 3.00(15-x)

Equation:

2.50x + 3.00(15-x) = 40

--------------------------------------------------------------------------------------------------------------

⇒ 2.50x + 3.00(15-x) = 40

-Distribute 3 over 15-x

⇒ 2.50x + 45 - 3x =40

-Combine Like Terms

⇒ -0.5x + 45 = 40

-Subtract 45 from both sides.

⇒ -0.5x + 45 = 40

            -45   -45

--------------------------

⇒ -0.5x = -5

-Divide by -0.5 on both sides

⇒ -0.5x/-0.5 = -5/-0.5

⇒ x = 10

That means we bought 10 Pounds of Chocolate.

---------------------------------------------------------------------------------------------------------------Since Candy was 15-x, we can Substitute 10 as x, and Solve:

⇒ 15 - 10

⇒ 5

That means we bought 5 Pounds of Candy.

--------------------------------------------------------------------------------------------------------------

We bought 10 Pounds of Chocolate, and 5 Pounds of Candy.

==================================================================

Hope I Helped, Feel free to ask any questions to clarify :)

Have a great day!

More Love, More Peace, Less Hate.

       -Aadi x

Answer:

I dont know the answer for this question