An electrician earns $110 after his first hour of working for a client. His total pay based on the number of hours worked can be represented using the sequence shown.

110, 130, 150, 170, ...
Which recursive formula can be used to determine the total amount of money earned for each successive hour worked based on the amount of money currently earned?

f(n + 1) = f(n) + 20
f(n + 1) = f(n) + 110
f(n + 1) = f(n + 1) + 20
f(n + 1) = f(n + 1) + 110

Answer: A

Step-by-step explanation:

(f+g)x

4x - 9 +  12x +7

4x +12x - 9 +7

16x  - 2

answer - (f+g)x = 16x -2

Mean Squared Error (MSE) is a statistical measure that is used to evaluate the performance of a predictive model. It is a commonly used evaluation metric in regression problems where the goal is to predict a continuous target variable.

The mean squared error measures the average of the squares of the differences between the predicted values and the actual values. The difference between the predicted value and the actual value is called the residual. The squared residuals are used to give more weight to larger differences between the predicted and actual values.

The mean squared error is calculated as the average of the squared residuals. It is defined as the ratio of the sum of the squared residuals to the number of observations. The formula for mean squared error is:

MSE = (1/n) * Σ (predicted value - actual value)^2

where n is the number of observations and Σ is the sum symbol.

The lower the mean squared error, the better the predictive model is. A low mean squared error indicates that the predicted values are close to the actual values, and the model is a good fit for the data. On the other hand, a high mean squared error indicates that the predicted values are far from the actual values, and the model is a poor fit for the data.

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Jeff and Jessica will have written a total of 2170 words by the end of the contest.

To find out when Jeff and Jessica will reach the same amount of words, we need to first determine how many words each of them will have written by the end of the contest. Jeff plans to write 300 words per day until he is finished, and he has already written 370 words. So, his total word count will be:
370 + (300 x number of days) = total word count
Jessica plans to write 275 words per day until she is finished, and she has already written 520 words. So, her total word count will be:
520 + (275 x number of days) = total word count
We can set these two equations equal to each other and solve for the number of days:
370 + (300 x number of days) = 520 + (275 x number of days)
25 x number of days = 150
number of days = 6

Therefore, it will take Jeff and Jessica 6 days to reach the same amount of words. To find out how many words they will have written, we can substitute the number of days back into one of the original equations:
370 + (300 x 6) = 2170

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Answer:

$2470

Step-by-step explanation:

If a person is between one and seven days late paying tax, they are charged an extra 1% on the amount owed. If a person is over seven days paying tax, they are charged an extra 4% on the total amount owed ( including the extra 1% for being one to seven days late ). Calculate how much Amelia must pay if she owes $2375 and she pays it 10 days late.​

If Amelia owes $2375 and is 10 days late in paying her taxes, she will be charged an extra 4% on the total amount owed, which is $95. This is calculated by adding the 1% late fee for being 1 to 7 days late ($23.75) to the extra 4% late fee for being over 7 days late ($71.25) to get a total late fee of $95. Therefore, Amelia's total payment will be $2470.

The probability of getting purple or yellow on the spinner, and then rolling an even number on the dice is P = 1/4, so the correct option is B

First, we need to get the individual probabilities.

For the spinner, we can see 4 equal sections such that one is violet and one is yellow. So the probability of getting either violet or yellow is:

q = 2/4.

For the number cube we assume that we have a standard one of 6 sides, with outcomes {1, 2, 3, 4, 5, 6}

Such that 3 out of the 6 outcomes are even, then the probability of rolling an even number is:

p = 3/6 = 1/2.

Then the joint probability (that the two above things happen) is given by:

P  =p*q = (1/2)*(1/2) = 1/4.

The probability of getting purple or yellow on the spinner, and then rolling an even number on the dice is P = 1/4, so the correct option is B

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Answer:

B) 1/4

Step-by-step explanation:

Answer:

Line A

Step-by-step explanation:

Any line facing towards the left side of the coordinate plane will have a negative slope.

Line C is facing towards the right

Line D and B doesn't have a slope

A is the only right answer

The length of the arc on a circle of radius r intercepted by a central angle θ is the length of the arc on a circle of radius r intercepted by a central angle θ.. The correct option is C) 9.19 centimeters.

To find the length of the arc on a circle, we can use the formula:

Arc length = radius * central angle

In this case, the radius (r) is given as 9 centimeters, and the central angle (θ) is given as 65 degrees.

Converting the central angle from degrees to radians:

θ (in radians) = θ (in degrees) * π / 180

θ (in radians) = 65 * π / 180

θ (in radians) ≈ 1.1345 radians

Now, we can calculate the length of the arc:

Arc length = 9 * 1.1345

Arc length ≈ 10.21 centimeters

Rounded to two decimal places, the length of the arc is approximately 9.19 centimeters. Therefore, option C is the correct answer.

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Answer:

Annalise is correct because the outputs are closest when x = 1.35

Step-by-step explanation:

The solution to the equation 1/(x-1) = x² + 1 means the one x value that will make both sides equal. If we look at the table, notice how when x = 1.35, f(x) values are closest to each other for both equations, signifying that x = 1.35 is approximately the solution. Thus, Annalise is correct.

Answer:

45

Step-by-step explanation:

put 24 over 1 to make it a fraction.

So now its:

24/1 divided by 8/15

Now cross multiply

So now its:

24*15/1*8

(24 times 15)

Over

(1 times 8)

=360/8

=45

24 divided by 8/15 is equal to 45.

To divide 24 by 8/15, we can simplify the problem by multiplying 24 by the reciprocal of 8/15, which is 15/8. Multiplying fractions involves multiplying the numerators and denominators.

So, 24 divided by 8/15 can be rewritten as 24 multiplied by 15/8:

24 * (15/8)

When we multiply the numerators (24 * 15) and the denominators (1 * 8), we get:

360/8

Simplifying the fraction by dividing both the numerator and denominator by their greatest common factor, which is 8:

45/1

Therefore, 24 divided by 8/15 is equal to 45.

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Xavi would need to set his selling price above this breakeven cost per painting to cover all his costs and achieve profitability.

To determine Xavi's breakeven price at a volume of 25 paintings per year, we need more information about his costs and expenses.

The breakeven price is the price at which total revenue equals total costs, resulting in no profit or loss. It is typically calculated by considering fixed costs, variable costs, and the desired profit margin.

Fixed costs are expenses that remain constant regardless of the number of paintings produced, such as studio rent and equipment. Variable costs include materials, utilities, and other costs that change with the volume of work.

Once we have the total costs per year, we can divide it by the volume of work (25 paintings) to determine the breakeven cost per painting. Xavi would need to set his selling price above this breakeven cost per painting to cover all his costs and achieve profitability.

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Answer:

1171

Step-by-step explanation:

Hello,

I hope you and your family are doing well!

The answer is D: No Solution

The equation √x - 1 = -4 does not have a solution, because the square root of a number cannot be negative.

To understand why, recall that the square root of a number is defined as the number that, when multiplied by itself, gives the original number. For example, the square root of 16 is 4, because 4 * 4 = 16.

Since a number multiplied by itself is always positive, it follows that the square root of a number must always be positive or zero. Therefore, it is not possible for the square root of a number to be negative.

Therefore, the equation √x - 1 = -4 does not have a solution, because the left-hand side of the equation (√x - 1) cannot be equal to the negative number on the right-hand side (-4).

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The  10th term of the sequence is 21.

The given sequence is an arithmetic sequence with a common difference of 2. The first term of the sequence is 3.

To find an explicit formula for an arithmetic sequence, we use the formula:

an = a1 + (n - 1)d

where:
an is the nth term of the sequence
a1 is the first term of the sequence
d is the common difference

Substituting the values from the given sequence, we get:

an = 3 + (n - 1)2

Simplifying this expression, we get:

an = 2n + 1

Therefore, the explicit formula for the given sequence is an = 2n + 1.

To find the 10th term, we substitute n = 10 into the formula:

a10 = 2(10) + 1
a10 = 20 + 1
a10 = 21

Therefore, the 10th term of the sequence is 21.

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Answer:

x = 4 or x = -1

Step-by-step explanation:

2x^2 - 8x + 6 =0

divide by 2 we get  : x^2 -4x +3 = 0

(x -4) (x+1)

x = 4 or x = -1

The equation 61 * 61 * 61 = (** 61 *)^2 can be replaced with 0 through 9 in various ways for the decimal equation to be correct.

In this equation, we have three instances of the number 61 being multiplied together on the left-hand side, and on the right-hand side, we have a square of a number that contains two unknown digits. We need to determine the values of these unknown digits (represented by the stars) by replacing them with digits from 0 to 9, such that the equation holds true.

To find the possible combinations, we can start by calculating the left-hand side of the equation. 61 * 61 * 61 equals 226,981. Now, we need to find two-digit numbers whose square is equal to 226,981. By taking the square root of 226,981, we find that it is approximately 476.383.

Since the square of the number on the right-hand side should be equal to 226,981, the two digits represented by the stars must be 7 and 6 in some order. Therefore, the equation can be written as 61 * 61 * 61 = (7*61 + 6)^2 or as 61 * 61 * 61 = (6*61 + 7)^2, depending on the order of the digits.

By replacing the stars with 7 and 6 in either order, we find a valid solution for the equation. It is important to note that there might be other combinations that satisfy the equation as well, but the specific values of the stars being 7 and 6 are valid options.

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Answer:

PE = 51.45 Joules

Step-by-step explanation:

PE = mgh

= (7.0 kg)(9.8m/s^2)(0.75 m)

= 51.45 Joules

Answer:

SOLUTION FOR A:

YOU NEED TO MULTIPLY THE VARIABLE FROM THE DENOMINATOR

SOLUTION FOR B:

MULTIPLY TO REMOVE THE VARIABLE FROM THE  DENOMINATOR

THE ANSWERS FOR SOLVING FOR B AND A ARE IN THE SCREENSHOTS

yk i just rlly wanted to type in caps-

The system has exactly one solution, which is (p, q) = (-0.2118, -8.0).

We are given the system of equations:

1.7p - 0.34q = 0

0.17(q+1) - 0.85(p-1) = 0

We can simplify the second equation by distributing the 0.17 and 0.85 terms:

0.17q + 0.17 - 0.85p + 0.85 = 0

0.17q - 0.85p = -0.72

Now we have two equations in two variables, which we can solve using substitution or elimination. We will use elimination here.

Multiplying the first equation by 5, we get:

8.5p - 1.7q = 0

Multiplying the second equation by 2, we get:

0.34q - 1.7p = -1.44

Adding these two equations, we get:

6.8p = -1.44

p = -0.2118

Substituting this value of p into either of the original equations, we get:

1.7(-0.2118) - 0.34q = 0

q = -8.0

So the system has exactly one solution, which is (p, q) = (-0.2118, -8.0).

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Answer:

The formula for calculating the compound amount is:

A = P( 1 + R ) ^ T

Put in the numbers and calculate:

A = 800( 1.09 ) ^ 2

A = 800 x 1.1881

A = 950.48

I = A - P

I = 950.48 - 800

I = 150.48

Answer:

Step-by-step explanation:

From  the diagram we can see:

The triangles have two congruent angles and one congruent side which is between those two angles.

It means the triangles are congruent by angle-side-angle or in short ASA theorem.

Correct answer choice is C

Therefore, the only claim that the interval would tend to refute is option E: The population mean is less than 125.

Based on the 90% confidence interval of 135 to 160, we can conclude that the population mean is likely to be within this interval with a 90% degree of confidence.

A. The claim that the population mean is more than 110 is not refuted by the confidence interval since the lower limit of the interval is above 110.

B. The claim that the population mean is less than 150 is not refuted by the confidence interval since the upper limit of the interval is above 150.

C. The claim that the population mean is between 140 and 150 is not refuted by the confidence interval since both values are within the interval.

D. The claim that the population mean is more than 140 is not refuted by the confidence interval since the lower limit of the interval is above 140.

E. The claim that the population mean is less than 125 is refuted by the confidence interval since the lower limit of the interval is above 125.

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The value of x for this problem is given as follows:

x = 5.

Hence the angle measures are given as follows:

We have that angles A and D are congruent for this problem, meaning that they have the same measure.

Hence the value of x is obtained as follows:

7x - 3 = 5x + 7

2x = 10

x = 5.

Hence the angle measures are given as follows:

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Step-by-step explanation:

Use calculator:

sin x = 0.4 --> arc

x=23∘‍58

Trig unit circle gives another arc x that has the same sin value:

x=180−23.58

=156∘42

Answers for (0, 360)

23∘58,156∘42

Answer:

12

Step-by-step explanation:

You first do 15-6 to tell you the space in between them. then divide that number by 3. A quick way after is to subtract that number(3) from 15 to give you your answer.

The correct answer is (B) I and IV.

If Fcalculated > Ftable, then the p-value is less than the significance level (usually 0.05), which means we reject the null hypothesis that the two sets of calcium data have the same variance. Therefore, the conclusion is that the difference in standard deviations for the two instrumental methods is significant. This corresponds to statement I.

Furthermore, if the null hypothesis is rejected, it means the alternative hypothesis is accepted, which is that the data does not come from populations with the same standard deviation. This corresponds to statement IV.

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The type of variable for,

a. The number of counties in California: Quantitative discrete.

b. The stages of childhood: Qualitative ordinal.

c. In the scenario above, 23 minutes is a statistic, because 28 students is a sample.

d. Between 6 minutes and 8 minutes: Approximately 68% of the athlete's mile times are expected to be between 6 and 8 minutes, according to the empirical rule.

e. Between 4 minutes and 7 minutes: Approximately 68% of the athlete's mile times are expected to be between 4 and 10 minutes, according to the empirical rule.

f. Less than 9 minutes: Approximately 84% of the athlete's mile times are expected to be less than 9 minutes, according to the empirical rule.

In statistics, variables can be categorized into two types: qualitative and quantitative.

Qualitative variables describe characteristics or qualities that cannot be measured numerically, such as gender or hair color.

Quantitative variables, on the other hand, represent numerical values that can be measured or counted.

There are two types of quantitative variables: continuous and discrete. Continuous variables can take any numerical value within a range, such as age or weight.

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Let's try some integer values of x to see what volumes we get

We do not get 15 as a result in that list above. So there are no integer solutions to x^3 = 15

In other words, the value \(\sqrt[3]{15}\) is not an integer.

The cardioid is recognized as a particular instance of an epicycloid and is formed by (x2 + y2 + an x)2 = a2(x2 + y2).

A two-dimensional plane figure called a cardioid features a heart-shaped curvature. The Greek word "cardioid," which meaning "heart," is the source of the word "cardioid." Thus, it is referred to as a heart-shaped curve.

The polar pattern of a cardioid microphone gives it its name. It is classified as a directional microphone since only noises from the front and sides may be picked up by it, and the direction has an impact on the sound image that is recorded.

here the explanation:-

The equation for the heart is (x2 + (9/4)*(y2 + z2 -1)3 - (x2*(z3) -(9/200)*(y2*(z3)).

The cardioid is recognized as a particular instance of an epicycloid and is formed by (x2 + y2 + an x)2 = a2(x2 + y2).

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