what is the relationship between the pair of angles AXC and BXC shown in the diagram

In Costello et al. (2003), the independent variable that was not manipulated by the research team was the gender of the participants.

The study examined the effects of different levels of alcohol consumption on cognitive performance and mood states in young adults. Participants were assigned to different alcohol consumption groups based on their self-reported drinking habits. However, the gender of the participants was not manipulated, and the study included both male and female participants. This means that any differences in the results based on gender cannot be attributed to the research team's manipulation of the independent variable, but rather to other factors that may have affected the results.

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Answer:

Step-by-step explanation:

its 2

Answer:

8h + 15 = 39

Step-by-step explanation:

The base fee is 15 so you shouldn't multiply the hours by it.

The question states 8 per hour which means that you should multiply the 8 by hours and add on the base fee which is 15.

Answer:

8h+15=39

im pretty sure this is your answer. let me know if it was or not

Given that profits decrease by 13.8% when the degree of operating leverage (DOL) is 3.8.

The decrease in sales is: We have to determine the percentage decrease in sales Let the percentage decrease in sales be x.

Degree of Operating Leverage (DOL) = % change in Profit / % change in Sales3.8

= -13.8% / x Thus, we have: x

= -13.8% / 3.8

= -3.63%Therefore, the decrease in sales is 3.63%.Hence, the correct option is C) 3.63%. Percentage decrease in sales = % change in profit / degree of operating leverage

= 13.8 / 3.8

= 3.63% The percentage decrease in sales is 3.63%.

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Answer:

21

Step-by-step explanation:

The largest x could be is

8+12 > x

21 >x

X must be less than 21

Answer:

a)

Step-by-step explanation:

I use logic and my eyes when i answer these so for sure 8 is not x because x is OBVIOUSLY longer than the side with 8 as its measurement

Answer: 8690

Step-by-step explanation:

Divide $43450 by the number of months there are in a year (which is 12) and you get the answer

When swerving, there are a number of factors that come into play, including traction, lean, load triangle, and being upright. Swerving in a straight line can be relatively easy, as the rider only needs to make minor adjustments to maintain balance.

When comparing swerving in a straight line to swerving in a curve, the key differences involve traction and maintaining an appropriate lean angle.
Swerving in a curve requires more traction than swerving in a straight line. Traction is essential for maintaining control of your vehicle, especially when navigating curves. As you swerve in a curve, your tires need to have a good grip on the road surface to prevent skidding or losing control.
Additionally, managing lean angles is more critical when swerving in a curve. To maintain balance and control, you must avoid leaning too much, as it can cause the vehicle to tip over or slide out. In a curve, the lean angle needs to be adjusted appropriately to match the curve's radius, while also considering your speed and road conditions.
In summary, swerving in a curve requires more traction and careful management of lean angles compared to swerving in a straight line. The load triangle and keeping the vehicle upright are important, but they are not the primary factors that make swerving in a curve more challenging than swerving in a straight line.

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The largest interval containing zero on which f(x) = \sin x is one-to-one is (-\pi/2, \pi/2).

This is because on this interval, sin(x) is strictly increasing from -1 to 1, meaning that there is only one output value for each input value in this interval. Beyond this interval, sin(x) starts to repeat its values, which means that it is no longer one-to-one.
The largest interval containing zero on which f(x) = sin(x) is one-to-one is the open interval (-π/2, π/2). This interval ensures the sine function has a unique output for each input, making it an injective (one-to-one) function.

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v = 2√2 (i + j) in component form.

Given:

v lies in the first quadrant and makes an angle of π/4 with the positive x-axis, and |v| = 4.

To Find:

Find v in component form.

Components of a vector are given by:

x = |v| cos θ,

y = |v| sin θ,

where θ is the angle that the vector makes with the positive x-axis.

We are given that |v| = 4 and θ = π/4 (because the vector makes an angle of π/4 with the positive x-axis).

Components of v will be:

v = (|v| cos θ)i + (|v| sin θ)j

  = (4 cos π/4)i + (4 sin π/4)j

  = (4/√2)i + (4/√2)j

  = 2√2 i + 2√2 j

  = 2√2 (i + j)

Hence, v = 2√2 (i + j) in component form.

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Answer:

$0.51

Step-by-step explanation:

1 foot=12 inches. 4 [feet]x 12 [inches per foot]= 48 $24.48/48= $0.51 per inch

The type of informational text that Jax is reading based on the given clues is; A: Cause and effect.

An informational text is a nonfiction piece of writing that is intended to provide information on a specific topic. The term "informational text" simply refers to text that contains facts and is supplemented with text features such as graphs, headings, glossaries, and tables of contents.

Some examples of informational text sources are Newspaper articles, Online articles, Brochures with information

Encyclopedias.

In this case, causality is the influence that one event, process, state, or object has on the production of another event, process, state, or object, where the cause is partially responsible for the effect and the effect is partially dependent on the cause.

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Answer:

Step-by-step explanation:

It is Problem and solution looked in the lesson and problem and solution use the same keywords as the challenge, the issue,and to solve.

i think the answer is 12

Step-by-step explanation:

Given,

F= Fixed Cost = $18,000

V= Variable Cost per unit = $0.90

P= Price per unit = $3.20

a) Q= Quantity = 12,000 cupcakes annually

Total Cost (TC) formula is:TC = F + V x Q = 18,000 + 0.90 × 12,000 = $29,400

Total Revenue (TR) formula is:TR = P × Q = 3.20 × 12,000 = $38,400

Profit formula is:Profit = TR − TC = 38,400 − 29,400 = $9,000.

b) The bakery will need to sell 6,924 cupcakes in order to break even.

The formula for the Break-even point (BEP) is BEP = F / (P - V) = 18,000 / (3.20 - 0.90) = 6,923.08 ≈ 6,924 cupcakes

5. The graphical representation of the Break-even volume for the Gobblecakes bakery is shown below:

8. Break-even volume as a percentage of maximum operating capacity will be = 58%

Break-even volume as a percentage = (Break-even volume / Maximum operating capacity) x 100%

                                                             = (6,923.08 / 12,000) x 100% = 57.69% ≈ 58%

11. The new Break-even point (BEP) will increase from 6,924 cupcakes to 8,750 cupcakes.

When the selling price for a cupcake changes from $3.20 to $2.75, the new Break-even point (BEP) will be:

BEP = F / (P - V) = 18,000 / (2.75 - 0.90) = 8,750 cupcakes

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Answer:

  C: Distribute (multiply) the parenthesis

Step-by-step explanation:

You want to know the first step to solve the equation ...

  2(3x -4) -5x = 2

Usually a good first step is to completely simplify the equation. This would be done by using the distributive property to eliminate parentheses, then combining like terms.

  6x -8 -5x = 2 . . . . . . . . multiply the content of parentheses by 2

__

Additional comment

The next steps are ...

  x -8 = 2  . . . . . . .  combine like terms

  x = 10 . . . . . . . . . add 8 to both sides

  y = 3(10) -4 = 26 . . . . . use the expression for y to find y

  (x, y) = (10, 26) . . . . . . . . . . . . summarize the solution

  2(26) -5(10) = 2 . . . . . . true. Check the answer.

Adding 5x to both sides will eliminate the 5x term from the left, but will put a 5x term on the right. That is not a useful step for making one "x" term.

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Answer:

19 throws.

Step-by-step explanation:

For her success rate to be 80% in 37 throws she must make  0.8 * 37

= 29.6 throw - that is 30 to nearest throw.

So for the next 20 throws she must make  30 - 11 = 19 throws.

Answer:

8.54

Step-by-step explanation:

Answer:

X = 7.4

i am glad to be helping you! good luck in your test ;)

Step-by-step explanation:

\(3^{2} + x^{2} = 8^{2} \\\\3^{2} - 8^{2} = -x^{2} \\9 - 64 = -x^{2} \\(you-cancel-the-negatives)\\\sqrt{55} = x\\7.4 = x\\\)

Answer:

It is A. I took the test,

Step-by-step explanation:

its 66 and then the little 3

Step-by-step explanation:

The square mural in Olivia's classroom has dimensions x by x.

Then she paints a mural of dimensions: x+5 (the length) by x-2 (the width).

Thus the second mural (the hallway mural) has the shape of a rectangle with dimensions (x+5) by (x-2), so the area of the second mural is

(x+5)(x-2).

each side of the classroom mural is 7 feet means that x = 7 ft,

thus the area of the hallway mural is :

(x+5)(x-2)=(7+5)(7-2)=12*5=60 (square feet)

So the answer is 60 square feet.

Probability that the number of speeding cars is at least 9: 0.009 Expected number of speeding cars, E[X]: 4.5 Variance of the distribution of X: 2.25 Standard deviation of the distribution of X: 1.5 Expected fines generated by the next 9 cars: R19566.

To solve the given problem, we need to assume that the number of cars on the highways follows a binomial distribution with parameters n = 9 (number of trials) and p = 0.5 (probability of a car being above the speed limit).

Probability that the number of speeding cars is at least 9:

Since the probability of a car being above the speed limit is 0.5, the probability of a car not being above the speed limit is also 0.5.

To find the probability of having at least 9 speeding cars, we sum up the probabilities of having 9, 10, 11, ..., up to 9 cars. Mathematically, it can be represented as P(X ≥ 9) = P(X = 9) + P(X = 10) + P(X = 11) + ... + P(X = 9).

Using the binomial probability formula, P(X = k) = (n choose k) * p^k * (1 - p)^(n - k), we can calculate the probabilities for each value of k and then sum them up:

P(X ≥ 9) = P(X = 9) + P(X = 10) + P(X = 11) + ... + P(X = 9)

= [C(9, 9) * 0.5^9 * 0.5^(9 - 9)] + [C(9, 10) * 0.5^10 * 0.5^(9 - 10)] + [C(9, 11) * 0.5^11 * 0.5^(9 - 11)] + ...

Evaluating this expression, we find that P(X ≥ 9) ≈ 0.009 (rounded to 3 decimal places).

Expected number of speeding cars, E[X]:

The expected value of a binomial distribution is given by the formula E[X] = n * p. Therefore, in this case, the expected number of speeding cars is E[X] = 9 * 0.5 = 4.5 (rounded to one decimal place).

Variance of the distribution of X:

The variance of a binomial distribution is calculated using the formula Var(X) = n * p * (1 - p). Substituting the values, we get Var(X) = 9 * 0.5 * (1 - 0.5) = 2.25 (rounded to one decimal place).

Standard deviation of the distribution of X:

The standard deviation is the square root of the variance. Therefore, the standard deviation of the distribution of X is sqrt(2.25) = 1.5 (rounded to one decimal place).

Expected fines generated by the next 9 cars:

Since the average speeding fine per car is R2174, the expected fines generated by a single car is R2174. Therefore, the expected fines generated by the next 9 cars would be 9 * R2174 = R19566.

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Answer:

7

Step-by-step explanation:

We know the decimal place is after all those zeroes. Move the decimal x places to the left, until it is located between the 2 and 8. Since it moved 7 spaces, that is how you know the power of the ten. A faster way of doing this is the power is always one less than the number of digits of the number.

Answer: 7

Step-by-step explanation:

Mike Sullivan recently retired as Professor of Mathematics at Chicago State University, having taught there for more than 30 years. He received his PhD in mathematics from Illinois Institute of Technology.

He is a native of Chicago’s South Side and currently resides in Oak Lawn, Illinois. Mike has 4 children; the 2 oldest have degrees in mathematics and assisted in proofing, checking examples and exercises, and writing solutions manuals for this project. His son Mike Sullivan, III co-authored the Sullivan Graphing with Data Analysis series as well as this series. Mike has authored or co-authored more than 10 books. He owns a travel agency and splits his time between a condo in Naples, Florida and a home in Oak Lawn, where he enjoys gardening.

Michael Sullivan, III has training in mathematics, statistics and economics, with a varied teaching background that includes 27 years of instruction in both high school and college-level mathematics. He is currently a full-time professor of mathematics at Joliet Junior College. Michael has numerous textbooks in publication, including an Introductory Statistics series and a Precalculus series which he writes with his father, Michael Sullivan.

Michael believes that his experiences writing texts for college-level math and statistics courses give him a unique perspective as to where students are headed once they leave the developmental mathematics tract. This experience is reflected in the philosophy and presentation of his developmental text series. When not in the classroom or writing, Michael enjoys spending time with his 3 children, Michael, Kevin and Marissa, and playing golf. Now that his 2 sons are getting older, he has the opportunity to do both at the same time!

Product details

Publisher ‏ : ‎ Pearson; 4th edition (8 January 2018)

Language ‏ : ‎ English

Hardcover ‏ : ‎ 1224 pages

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Answer:

w is 146

x is 90

y is 34

z is 56

Answer:

w = 146 degrees

x = 90 degrees

y = 34 degrees

z = 56 degrees

Step-by-step explanation:

Right angles will always add up to 90 degrees.

Straight lines will always add up to 180 degrees.

Since x is a right angle, x = 90 degrees.

Since z + 34 = 90 degrees (a right angle):

90 - 34 = z

90 - 34 = 56 degrees

Since x + y + z = 180 degrees (a straight line), simply plug in the numbers we have found already:

90 + y + 56 = 180

y = 180 - 90 - 56

y = 34

Since w + 34 = 180 degrees (a straight line):

180 - 34 = w

180 - 34 = 146 degrees

Answer:

k= 2.5

Step-by-step explanation:

4k+5=6k+10

-4k    -4k

5=2k+10

-10     -10

-5=2k

/2    /2

-2.5= k

A sample of 220 patients with sore throats is tested for a contagious virus (5% positive). The central limit theorem holds and the mean of the sample proportion is 5% with a standard deviation of 0.0096. The probability of 7.5-9% positive is 68.3%.

a) the population is all patients who come to the doctor's office with a sore throat. The parameter of interest is the proportion of patients with a contagious virus in the population. The value of the parameter is 5%.

b) the central limit theorem (CLT) holds for the sample proportion of patients with a contagious virus because the sample size of 220 patients is large enough (more than 30) and the sample is being drawn randomly from the population.

c) the mean of the sample proportion of patients with a sore throat who has the virus is 5% and the standard deviation of the sample proportion is √(0.05 * 0.95) / 220 = 0.0096.

d) the probability that between 7.5% and 9% of these 220 patients in the sample with a sore throat have the virus is approximately 68.3% (based on a normal distribution).

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A sample of 220 patients with sore throats is tested for a contagious virus (5% positive). The central limit theorem holds and the mean of the sample proportion is 5% with a standard deviation of 0.0096. The probability of 7.5-9% positive is 68.3%.

a) the population is all patients who come to the doctor's office with a sore throat. The parameter of interest is the proportion of patients with a contagious virus in the population. The value of the parameter is 5%.

b) the central limit theorem (CLT) holds for the sample proportion of patients with a contagious virus because the sample size of 220 patients is large enough (more than 30) and the sample is being drawn randomly from the population.

c) the mean of the sample proportion of patients with a sore throat who has the virus is 5% and the standard deviation of the sample proportion is √(0.05 * 0.95) / 220 = 0.0096.

d) the probability that between 7.5% and 9% of these 220 patients in the sample with a sore throat have the virus is approximately 68.3% (based on a normal distribution).

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Answer:

c(0) = 24*0 = 0  

c(8) = 24*8 = 192  

Your range is [0,192]

Step-by-step explanation:

Answer:

You have 8 cups of flour it takes 1 cup of flour to make 24 cookies the function c(f)=24f

c represents the number of cookies

f represents the cups of flour

You have 8 cups of  flour, we can use only 0 to 8 cups of flour.

so domain f is 0 to 8 cups [0,8]

Now we find the range

1 cup of flour to make 24 cookies

So 8 cups of flour = 24* 8 = 192 cookies

using 8 cups you can make 192 cookies

So number of cookies is from 0 to 192

Range is [0,192

Step-by-step explanation:

The side of the square equals half the minor axis of the ellipse.

To show that the side of the square is half the minor axis of the ellipse, we must prove that the angles of the ellipses and the squares are congruent. To do this, we must first draw in the diagonals of the square, which will form two additional isosceles triangles.

Since the ellipses are perpendicular, the angles of the ellipses and the squares will be the same. Since the angles of the isosceles triangles are equal, the side of the square must be equal to half of the minor axis of the ellipse. Therefore, the side of the square is equal to half of the minor axis of the ellipse.

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Answer:

Just did this quick check the answer was a.) 42

Step-by-step explanation:

Answer:

B. \(r=\sqrt[3]{\displaystyle\frac{3x}{4\pi}}\)

Step-by-step explanation:

Hi there!

\(x=\displaystyle\frac{4}{3} \pi r^3\)

Multiply both sides by 3/4:

\(\displaystyle\frac{3x}{4}= \pi r^3\)

Divide both sides by π:

\(\displaystyle\frac{3x}{4\pi}=r^3\)

Take the cube root of both sides:

\(\sqrt[3]{\displaystyle\frac{3x}{4\pi}} =r\\\\r=\sqrt[3]{\displaystyle\frac{3x}{4\pi}}\)

I hope this helps!