The exponent of a linear function is ___.
A. 2
B. 1/2
C. 1
D. X

He drove the truck 2.13 miles

total expense = $172.18.

There was a base fee of $20.95, and there was an additional charge of 71 cents for each mile driven.

From the question, we have

$172.18 = $20.95 + 71x

71x = 151.23

x = 2.13

He drove the truck 2.13 miles.

Subtraction:

Subtraction serves as a representation for the act of removing items from a collection. The negative symbol stands for subtraction. For example, if four of the nine oranges that are stacked together (as in the above illustration) are then transported to a basket, the stack will now contain five oranges rather than nine. Therefore, the difference between 9 and 4 is 5, which equals 9 minus 4. In addition to applying it to natural numbers, subtraction can also be used with other kinds of numbers. The letter "-" represents subtraction. Minuend, subtrahend, and difference are the three numerical components that make up the subtraction operation.

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Answer:

Step-by-step explanation:

Not sure

Answer:

b. SAS

Step-by-step explanation:

SAS stands for Side Angle Side

The first Side being AB or BC

The Angle being ∡ABD and ∡CBD

And the last Side being BD

Answer:

\(\frac{91+129+16}{44}\)

Step-by-step explanation:

Answer:

624

Step-by-step explanation:

the answer is 624 and he should multiply to get this answer.

78x8=624

The question requires that we have to state the hypothesis:

null hypothesis;H0: u1 < u2, the alternate hypothesis;H1: u1 > u2. The one tail test is what is to be used.

H0: u1 < u2

H1: u1 > u2

The one tail test statistic is what is to be used here

\(\sqrt{\frac{30.8}{17} +\frac{6.1}{15} }\)

= 1.49

The df = 17 + 15 - 2

= 30

test statistic = 18.9 - 17.4 / 1.49

= 1.007

We have the critical value on excel as T.INV(0.9,30)

=  1.310

E. At 0.1, we can conclude that  t-value (1.007) does not lies in the rejection area. We fail to reject the null hypothesis. Hence we conclude that the mean vacation with the unlimited plan is greater.

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The slope of the ideal vector, determined by examining the coefficients of the variables in the regression equation is:

Cleaning Ability: 2.3

Cost: 1.0

Disinfecting Ability: 0.6.

In this case, the regression equation is:

Overall Preference = -2.1 + 2.3 * Cleaning Ability + 1.0 * Cost + 0.6 * Disinfecting Ability

The coefficients of the variables represent the weights or importance assigned to each variable in determining the overall preference. Therefore, the slope of the ideal vector would be the coefficients of the variables in the regression equation.

Based on the given regression equation, the slope of the ideal vector would be:

Cleaning Ability: 2.3

Cost: 1.0

Disinfecting Ability: 0.6

These values indicate the relative importance or impact of each variable on the overall preference for Slippery Soap.

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If the target is increased to $25,000, the same strategy remains recommended for its potential to accumulate more wealth over the simulation period.

The simulation model was designed to simulate monthly returns over six years, assuming that any historical return is equally likely to occur. The model tracked the investment value over time for each strategy and aggregated the results over 1,000 iterations. By plotting the values of each strategy over time, the performance and fluctuations of the investments were visualized.

After running the simulation, the total value of each strategy was determined. While both strategies experienced growth, neither consistently reached the $22,500 target in all iterations. However, the first strategy, with a higher allocation to the S&P 500, resulted in higher average returns and accumulated more wealth after six years.

When considering a higher target of $25,000, the recommendation remained the same. The first strategy outperformed the second, providing a higher probability of reaching the increased target due to its larger allocation to the potentially higher-returning S&P 500.

In designing the simulation and making a recommendation, other real-world factors could be essential. These may include considering the risk tolerance of Scott Jansen, his time horizon, any additional sources of income or savings, his overall financial goals, and the potential impact of inflation on tuition costs. It's important to assess the individual's financial situation comprehensively and consider their specific needs and preferences when making investment recommendations.

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Answer: Option B.

Step-by-step explanation:

A linear function can be written as:

y = a*x + b

where a is the slope and b is the y-intercept.

if the line passes through the points (ax, ay) and (bx, by) then the slope is:

a = (bx - ax)/(by - ay)

In this case, we can see that the line passes through the points:

(1, 3) and (2, 1)

Then the slope is:

a = (1 - 3)/(2 - 1) = -2

y = -2*x + b

In the graph we also can see that the line intersects the y-axis at y = 5, then b = 5.

The line is:

y = f(x) = -2*x + 5.

the inverse function is such that:

g( f(x)) = x

to find the inverse function of a linear equation, we just could isolate x.

y - 5 = -2x

-y/2 + 2.5 = x

Then we could write the inverse function as:

g(x)  = - x/2 + 2.5

Now we need to see which pairs belong to this line. I just will evaluate the function g(x) in different values of x, and see which points belong to the line.

g(9) = -9/2 + 2.5 = -4.5 + 2.5 = -2

(9, -2) belongs to the line.

g(7) = -7/2 + 2.5 = -3.5 + 2.5 = -1

Then (7, -1) belongs to this line.

g(5) = -5/2 + 2.5 = 0

Then the point (5, 0) belong to this line.

We can already see that all these points are in option B, then option B is the correct one.

To answer this question, re-arrange the terms to be on one side of the equation.

Thus, the value of x is 1.

Answer:

x=1

Step-by-step explanation:

Regardless of what the Inspector chooses, the Owner's expected payoff is the same (33.33). The Owner does not have a better option than waiting for the Inspector to choose container B.

This problem can be modeled as a game of incomplete information. The Inspector and Owner are players in the game, and each has two possible strategies: either choose container B, or switch to container C. The payoffs for each player depend on the strategy they choose and which container contains the counterfeit goods.

To solve this game, we can use backward induction. We start by considering the final decision point: whether to switch to container C after seeing that container A does not contain the counterfeit goods. Let's consider the two cases:

If the counterfeit goods are in container B, then the Inspector knows that container C also does not have the counterfeit goods. In this case, the payoff for choosing container B is 100 (if they find the counterfeit goods) or -100 (if they do not).

If the counterfeit goods are in container C, then the Inspector knows that container B does not have the counterfeit goods. In this case, the payoff for switching to container C is 100 (if they find the counterfeit goods) or -100 (if they do not).

Since the Inspector does not know which container has the counterfeit goods, they should choose the strategy with the higher expected payoff. To calculate the expected payoffs, we need to consider the probability that the counterfeit goods are in each container. Since the owner chose one container at random, each container has a 1/3 chance of containing the counterfeit goods.

If the Inspector chooses container B, the expected payoff is:

Expected payoff (choose container B) = (1/3) * 100 + (2/3) * (-100) = -33.33

If the Inspector switches to container C, the expected payoff is:

Expected payoff (switch to container C) = (1/3) * 100 + (2/3) * (-100) = -33.33

Therefore, regardless of what the Inspector chooses, their expected payoff is the same (-33.33). This means that the Inspector does not have a better option than choosing container B, and switching to container C does not improve their chances of finding the counterfeit goods.

For the Owner, if the Inspector chooses container B, then the Owner's expected payoff is:

Expected payoff (Inspector chooses container B) = (1/3) * (-100) + (2/3) * 100 = 33.33

If the Inspector switches to container C, then the Owner's expected payoff is:

Expected payoff (Inspector switches to container C) = (1/3) * (-100) + (2/3) * 100 = 33.33

Therefore, regardless of what the Inspector chooses, the Owner's expected payoff is the same (33.33). The Owner does not have a better option than waiting for the Inspector to choose container B.

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Answer:

The Value of x would be 3

Step-by-step explanation:

Answer is A

Answer:

A. 3

Step-by-step explanation:

The rate of interest is 3.5%.

It is the interest we earned on the interest.

The formula for the amount earned with compound interest after n years is given as:

A = P \((1 + r/n)^{nt}\)

P = principal

R = rate

t = time in years

n = the number of times compounded in a year.

We have,

We use A = P\(e^{rt}\) for compound interest compounded continuously.

So,

Principal = $4,500

Time = 14 years

Amount = $7,300

Substituting the values.

A = P \(e^{rt}\)

7,300 = 4,500 \(e^{14r}\)

7300/4500 = \(e^{14r}\)

1.6222 = \(e^{14r}\)

Taking logs on both sides.

14r = log 1.6222

r = log 1.6222 / 14

r = 0.0345569 x 100

r = 3.45%

r = 3.5%

Thus,

The rate of interest is 3.5%.

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There are 360 black counters and 306 white counter in 20:17 ratio.

Let's denote the number of black counters by B and the number of white counters by W. We know that the ratio of black to white counters is 20:17, which means that:

B/W = 20/17

We also know that there are 54 more black counters than white counters, which means that:

B = W + 54

We can use substitution to solve for B. Substituting the second equation into the first equation, we get:

(W + 54)/W = 20/17

Cross-multiplying, we get:

17(W + 54) = 20W

Expanding the left side, we get:

17W + 918 = 20W

Subtracting 17W from both sides, we get:

918 = 3W

Dividing both sides by 3, we get:

W = 306

Now we can use the second equation to find B:

B = W + 54 = 306 + 54 = 360

Therefore, there are 360 black counters in the bag.

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Answer:

The answer is b

Step-by-step explanation:

The distance traveled by the passenger train and the cattle train is equal to the total distance between them, which is 960 miles. Let x be the time (in hours) traveled by the passenger train and cattle train. Then, the equation that represents this situation is:

55x + 65x = 960

Simplifying the left-hand side of the equation, we get:

120x = 960

Dividing both sides by 120, we get:

x = 8

Therefore, the correct equation is:

B - 65x - 55x = 960

Answer:

The fifth piece of the pyramid after it has been sliced by four cutting planes is a triangular prism. The volume of a triangular prism can be calculated using the formula:

Volume = (base area) * (height)

Where base area is the area of the triangular base of the prism and height is the distance from the base to the top of the prism.

In this case, the base of the triangular prism is an equilateral triangle with side length equal to the side length of the original pyramid, and the height of the prism is equal to the altitude of the original pyramid.

So, the volume of the triangular prism can be calculated as follows:

Volume = (base area) * (height)

= [(side length)^2 * sqrt(3)/4] * (height)

= (side length)^2 * sqrt(3)/4 * (height)

Where side length is the side length of the original pyramid and height is the altitude of the original pyramid.

Therefore, to find the volume of the triangular prism, you will need to know the side length and altitude of the original pyramid.

The order of the steps in the iterative problem-solving process is: a) collect information, b) formulate and test hypothesis, c) analyze results, and d) consider alternative explanations. (option c)

The iterative problem-solving process is a cycle that involves gathering information, forming hypotheses, testing hypotheses, analyzing the results, and then considering alternative explanations.

The second step is to formulate and test hypotheses. Hypotheses are educated guesses about what might be causing the problem or why the problem is occurring.

The third step is to analyze the results. This involves interpreting the data and determining if the hypothesis was correct or incorrect.

The final step is to consider alternative explanations. This involves looking at the data and considering other potential causes for the problem.

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Complete Question:

Which of these sequences is the order of the steps below in the iterative problem-solving process? a) formulate and test hypothesis b) collect information c) analyze results d) consider alternative explanations.

Option:

Answer:

C.

Step-by-step explanation:

Dont quote me but im pretty sure it's C here's why:

2/3 is .667 which means the trash compactor crushes the trash .01 kilo per 1 second 3/8 minutes being closest .25 means that it can crush it roughly in 22 second or 3/8 minutes.

The distance between the points is 8.6 units

The points are given as:

(8, 2) and (3,9).

The distance is calculated using

d = √(x2 - x1)^2 + (y2 - y1)^2

This gives

d = √(8 -3)^2 + (2 - 9)^2

Evaluate

d = 8.6

Hence, the distance between the points is 8.6 units

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Colin has lived by the biblical ideal of avoiding debt, purchasing the lowest item, repaying a loan, and being financially honest.

With an auto loan, you may borrow money from a bank and use it to purchase a vehicle. The loan must be repaid with interest over a defined period of time in fixed instalments from you.

Lenders will aim for a credit score of at least 750 when you apply for a vehicle loan.

The additional costs won't dramatically raise the price of the automobile because of the low interest rate. The periodic payments won't put undue strain on your current or next finances.

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Answer:

-1

Step-by-step explanation:

You have to do rise over run.

One thing we already know is that the slope is negative because it's pointing in this direction \ <======

I will make a picture.

But the rise is 4 and the run is 4 so the slope is -1x or just -x

Hope this helps ya!!

Answer:

Equation of line: y = -x + 4

Slope: -1

Hopw this helps :)

Answer:

Both slopes are as follows 1. 2 2. 2/5

Both equations are like

1.

16-12= 4

-----------=2

4-2=    2

=====

2.

10-4=  6

------------=2/5

20-5= 15

The Y intercept for both is as follows

1. 8

2. 2

I may be wrong on something but likely not and if I am sorry

Answer: Option 2

The line starts at an x of -4, so the domain is from -4 to infinity since the arrow goes off the graph, meaning it keeps going. The line starts on a y of 2, and the line continues up with the arrow pointing slightly up, so the range is from 2 to infinity.

The domain is from left to right, and the range is down to up

Answer:

2.  {x | x ≥ −4}; {y | y ≥ 2}

Step-by-step explanation:

Let's try to determine the domain first. Look at the x values. The function begins at -4, so our possible domain values also begin at -4, and the values continue positively after -4.

Therefore, our domain is: Domain: {x ≥ -4}.

Or, we could assign our domain using interval notation: [-4,infinity).

Our range, or y values, begin at 2 and continue positively after 2.

Therefore, our range is: Range: {y ≥ 2}.

Again, we could use interval notation to assign our range: [2,infinity)

Therefore, the answer would be

2. {x | x ≥ −4}; {y | y ≥ 2}

Look at the picture to help you better understand

Answer:

m∠6 = 116°

Step-by-step explanation:

first find x:

7x - 17 = 2x + 78

subtract 2x from both sides: 5x - 17 = 78

add 17 to both sides: 5x = 95

divide by 5: x = 19

plug x into 7x - 17

7(19) - 17 = 116

∠6 and 7x - 17 are vertical angles and therefore congruent, so m∠6 also = 116°

Answer:  It's "The linear equations have the same slope but different y-intercepts."

Step-by-step explanation:

When 2 equations have the same slope they will be parallel unless they have the same y-intercept than that means they overlap since they are the same.

good luck lol

Answer:

18. 3.3years

Step-by-step explanation:

18. 20,000 - (20,000 - .15x) = 10,000

15% of 20,000 is 3,000

The area of the parallelogram is 30 square inch.

A parallelogram is simply a quadrilateral with two pairs of parallel sides.

The area of parallelogram is expressed as:

A = base × height

From the diagram:

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

Area = base × height

Area = 10 in × 3 in

Area = 30 in²

Therefore, the area is 30 in².

Option D) 30 in² is the correct answer.

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Answer:

Step-by-step explanation:

The option that is most suitable for tabular data will be provided by-

Jasim's last week's total pay was £286.2.

Tabular data is data presented in the form of rows and columns.

Here,

Total time for which Jasim works last week = 30 hours

Time for which Jasim works at the weekend = 12 hours

Time for which Jasim works at the weekdays = (30 - 12) hours

                                                                           = 18 hours

Jasim's pay during weekdays = £8.70

Jasim's pay during weekends = £10.80 per hour

Jasim's pay during weekdays last week = £8.70 \(\times\) 18

                                                                   = £156.6

Jasim's pay during weekends = £10.80

Jasim's pay during weekends = £10.80 per hour

Jasim's pay during weekdays last week = £10.80 \(\times\) 12

                                                                   = £129.6

Total pay of Jasim for last week = £(156.6 + 129.6)

                                                     = £286.2

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Answer:it's

Step-by-step explanation: