Please help with this problem:1. The table shows the minimum wage rates for the United States during different years.Year1978197919801990199119961997200720082009Minimum hourly wage ($)2.652.903.353.804.254.755.155.856.557.25(a)Using technology (graphing calculator or Excel spreadsheet), write the least squares regression equation that models the data above. Let x = time in years since 1900 and let y = minimum hourly wage.(b)Paste an image of your Excel spreadsheet/graphing calculator screen or attach Excel file when submitting your test into the drop box. This will provide support for your equation.(c)Use the equation to estimate the minimum hourly wage of a U.S. worker in 2025. Show your work

The ordered pair which is a solution to the system of inequalities is: (-1, 0).

In order to determine which ordered pairs are true solutions based on the given system of inequalities, we would have to test each of the ordered pairs by substituting their values into the system of inequalities as follows;

For ordered pair (4, 3), we have:

-7x + 3y > -1

-7(4) + 3(3) > -1

-28 + 9 > -1

-19 > -1 (False).

For ordered pair (2, 8), we have:

-7x + 3y > -1

-7(2) + 3(8) > -1

-14 + 24 > -1

10 > -1 (True).

5x - 9y > -6

5(2) - 9(8) > -6

10 - 72 > -6

-62 > -6 (False).

For ordered pair (-1, 0), we have:

-7x + 3y > -1

-7(-1) + 3(0) > -1

7 + 0 > -1

7 > -1 (True).

5x - 9y > -6

5(-1) - 9(0) > -6

-5 - 0 > -6

-5 > -6 (True).

For ordered pair (-2, 2), we have:

-7x + 3y > -1

-7(-2) + 3(2) > -1

14 + 6 > -1

20 > -1 (True).

5x - 9y > -6

5(-2) - 9(2) > -6

-10 - 18 > -6

-28 > -6 (False).

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1. the mechanical advantage of the rake is 0.5. 2. the efficiency of the blade adjuster is approximately 92.73%.

1. The mechanical advantage of a simple machine is determined by the ratio of the output force to the input force. In this case, the woman applies an input force of 32 N to the rake, and the rake exerts an output force of 16 N.

The mechanical advantage (MA) can be calculated as MA = Output Force / Input Force.

Using the given values, we can substitute them into the formula:

MA = 16 N / 32 N = 0.5.

Therefore, the mechanical advantage of the rake is 0.5.

Explanation:

The mechanical advantage represents the amplification of force achieved by using a machine. In this case, the mechanical advantage of 0.5 means that the rake reduces the input force by half to produce the output force. It indicates that for every 1 unit of input force applied by the woman, the rake generates 0.5 units of output force.

2. Efficiency is a measure of how effectively a machine converts input work to output work. It is calculated as the ratio of output work to input work, expressed as a percentage.

The efficiency (η) can be calculated using the formula: Efficiency = (Output Work / Input Work) * 100%.

Given that the input work is 55 J and the output work is 51 J, we can substitute these values into the formula:

Efficiency = (51 J / 55 J) * 100% ≈ 92.73%.

Therefore, the efficiency of the blade adjuster is approximately 92.73%.

Explanation:

Efficiency quantifies the effectiveness of a machine in converting the input energy into useful output energy. In this case, the blade adjuster converts 51 J of input work into 51 J of output work. The efficiency of approximately 92.73% indicates that the blade adjuster is relatively efficient, as a high percentage of the input work is effectively converted into useful output work.

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Answer:

D. 12 months

Step-by-step explanation:

I got 100%

The number of months you will have to save for so that you can place a down payment of 10% is 10 months.

Option B is the correct answer.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Price of the home = $115,732.80

Downpayment = 10%

This means,

= 10/100 x 115732.80

= $11573.28

Now,

Monthly savings.

= 2624 - (1150.12 + (6.2/100 x 2624) + (1.45/100 x 2624) + 53 + 101.35)

= 2624 - (1150.12 + 162.88 + 38.048 + 53 + 101.35)

=  2624 - 1505.398

= 1118.602

Now,

The number of months to save.

= 11573.28 ÷ 1118.602

= 10.35

Thus,

The number of months to save is 10 months.

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1. The test statistic falls outside the critical t-values therefore we reject the null hypothesis

2. The confidence interval is constructed as CI = x ± (t_(α/2, df) * (σ / √n))

3. The conclusion is there is sufficient evidence to suggest that the mean inside bearing diameter is different from 8.25 cm

1. Hypothesis Testing:

Null hypothesis (H₀): The mean inside bearing diameter is 8.25 cm.

Alternative hypothesis (H₁): The mean inside bearing diameter is not equal to 8.25 cm.

We will conduct a two-sided hypothesis test using a significance level (alpha) of 0.05.

Given:

Sample size (n) = 15

Sample mean (x) = 8.2535 cm

Standard deviation (σ) = 0.002 cm

To test the hypothesis, we will use a t-test since the population standard deviation is unknown and the sample size is small.

Calculate the test statistic (t-value):

t = (x - μ) / (σ / √n)

where μ is the hypothesized mean under the null hypothesis.

t = (8.2535 - 8.25) / (0.002 / √15)

t = 6.77

Calculate the critical t-values for a two-sided test at a 95% confidence level (alpha = 0.05):

Since the sample size is small (n = 15), we will use the t-distribution and degrees of freedom (df = n - 1 = 14) to find the critical t-values.

t_critical = ± t_(α/2, df)

If you look up the critical t-value for alpha/2 = 0.025 and df = 14 in the t-table or use a statistical calculator, we have 2.51

t_critical = 2.51

Compare the test statistic to the critical t-values:

Since the test statistic falls outside the critical t-values, we reject the null hypothesis.

2. Confidence Interval:

To construct a 95% confidence interval, we will use the formula:

CI = x ± (t_(α/2, df) * (σ / √n))

3. Conclusion:

Since the test statistic falls outside the critical t-values, we reject the null hypothesis and conclude that there is sufficient evidence to suggest that the mean inside bearing diameter is different from 8.25 cm.

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Answer:

4,2,1

Step-by-step explanation:

rectangle base: 24 x 15 = 360

triangle: 15 x 3 x 1/2= 45 x 1/2 = 22.5 x 4 (each side) 90 inches

total: 360 + 90 = 450 inches :)

Answer:

The height of the cone-shaped cup is 6 inches and the diameter at the top is 3 inches. ... To find the volume of the cone, you use a formula similar to that of a pyramid, ... \begin{align*}V & = \frac{1}{3} \pi r^2 h \\ V & = \frac{1}{3} (3.14)(5^2 )(7) ... The answer is the volume of the cone is 183.16 cubic inches.

Step-by-step explanation:

i think thats it it was right on gogle

Answer:

C

Step-by-step explanation:

-2^4-5(5)+2(-2-3)^2

16-25+2(25)

16-25+50

41

I apologize, I cannot visually perceive or manipulate colors or lines directly. However, if you provide me with the equations of the lines or any additional information about their slopes, I would be more than happy to help you match the slopes with the corresponding lines.

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To match the lines (l1, l2, l3) with their corresponding slopes, we need to assign letters representing the slopes to each set.

Without specific information about the lines l1, l2, and l3, it is not possible to determine the exact slopes or their corresponding letters. In order to match the lines with their slopes, we would need additional details such as the equations of the lines or the coordinates of points on the lines.

The slope of a line represents the rate at which the line changes vertically (y-axis) with respect to the horizontal (x-axis). It is typically denoted by the letter "m" in mathematical notation.

To accurately match the lines l1, l2, and l3 with their respective slopes, we require more information about the lines themselves. Once the equations or coordinates are provided, we can calculate the slopes using the formula for slope, which is the change in y divided by the change in x.

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The perimeter is the distance along the edge of a figure, it is most commonly used for 2-D figures.

Then, it does apply to a rectangle since is a 2-D figure with defined sides.

However, it does not apply to a sphere since it is a 3-D figure with no defined sides, for a sphere we can calculate volume, surface area, radius, diameter, and circumference.

A function \(P(t) = 170.(1.30)^t\)  that gives the deer population P(t) on the reservation t years from now

We were told there were 170 stags on reservation. The number of deer is increasing at a rate of 30% per year.

We could see the deer population grow exponentially since each year there will be 30% more than last year.

Since we know that an exponential growth function is in form:

\(f(x) = a*(1+r)^x\)

where a= initial value, r= growth rate in decimal form.

It is given that a= 170 and r= 30%.    

Let us convert our given growth rate in decimal form.

\(30 percent = \frac{30}{100} = 0.30\)

Upon substituting our given values in exponential function form we will get,

    \(P(t) = 170.(1+0.30)^t\)

⇒ \(P(t)= 170.(1.30)^t\)

Therefore, the function \(P(t) = 170.(1.30)^t\) will give the deer population P(t) on the reservation t years from now.

Complete Question:

There are 170 deer on a reservation. The deer population is increasing at a rate of 30% per year. Write a function that gives the deer population P(t) on the reservation t years from now.

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If you choose the rebate offer, your monthly payment for the car loan at the bank will be approximately $557 (rounded to the nearest dollar).

To calculate the monthly payment for each financing option, we'll use the information provided:

1. 0% financing for 48 months:

Since the financing is offered at 0% interest, the monthly payment can be calculated by dividing the total purchase price by the number of months.

Purchase Price: $26,050

Number of Months: 48

Monthly Payment = Purchase Price / Number of Months

Monthly Payment = $26,050 / 48 ≈ $543

Therefore, the monthly payment for the 0% financing option for 48 months is approximately $543.

2. Rebate offer and car loan at the bank:

If you choose the rebate offer, you'll need to finance the remaining balance after deducting the rebate amount. Let's calculate the remaining balance:

Purchase Price: $26,050

Rebate Offer: $2,900

Remaining Balance = Purchase Price - Rebate Offer

Remaining Balance = $26,050 - $2,900 = $23,150

Now, we'll calculate the monthly payment using the remaining balance and the loan terms from the local bank:

Remaining Balance: $23,150

Interest Rate: 5.24% (compounded monthly)

Number of Months: 48

Monthly Payment = (Remaining Balance * Monthly Interest Rate) / (1 - (1 + Monthly Interest Rate)^(-Number of Months))

First, let's calculate the Monthly Interest Rate:

Monthly Interest Rate = Annual Interest Rate / 12

Monthly Interest Rate = 5.24% / 12 ≈ 0.437%

Now, we can calculate the Monthly Payment using the formula mentioned above:

Monthly Payment = ($23,150 * 0.437%) / (1 - (1 + 0.437%)^(-48))

Monthly Payment ≈ $557

Therefore, if you choose the rebate offer, your monthly payment for the car loan at the bank will be approximately $557 (rounded to the nearest dollar).

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Answer:

2x^4+4x^3+5x^2-7x+5

Step-by-step explanation:

The solution of equation is x=-3

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Given

The equation;√x+3=-6

Now,

√x=-6-3

√x=-9

x=-3

Therefore the answer of the given equation will be -3

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Answer:

the answer would be X=0.82

Answer:

C

Step-by-step explanation:

√ 50x²y³

√25* 2 x²y³

5xy√2y

It will take the town 21 years 4 months to reach 4600 in population

a rate is a ratio that compares two different quantities which have different units. For example, if we say John types 50 words in a minute, then his rate of typing is 50 words per minute. The word "per" gives a clue that we are dealing with a rate.

initial population = 3000

population increase every year = 2.5% of 3000

which is 2.5/100 x 3000 = 75

let the time taken to reach 4600 be d

increment for d number of years = 75d

Total population after d years is 75d + 3000

so 75d + 3000 = 4600

75d = 4600  - 3000

75d = 1600

d = 1600/75

d = 21.33 years which is 21 years 4 months

In conclusion 21 years 4 months is the time taken for the ton tto get tto 4600

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Answer:

35 as a fraction is 7/20

Step-by-step explanation:

Answer:

11/35

Step-by-step explanation:

Answer:

Jose: Y= 2.50x +4

Elaine Y= 1x +10

same at 4

Step-by-step explanation:

a) We have f−1(7) = 2.Thus, the value of f-1(7) is 2.

b) We can conclude that f( f−1(−3) ) = f(5) = −3.Thus, the value of f(5) is -3.

(a) Determine f-1(7)Given that f be a one-to-one function and f(2)=7.Since f is one-to-one, there exists a unique inverse function f−1. We have f(2) = 7, hence 2 = f−1(7). Therefore, we have f−1(7) = 2.Thus, the value of f-1(7) is 2.(b) Determine f(5)Given that f be a one-to-one function and f−1(−3) = 5.Since f is one-to-one, there exists a unique inverse function f−1. Hence, f( f−1(x) ) = x and f−1( f(x) ) = x for all x in the domain of f. Also, f(2) = 7, thus f−1(7) = 2. Therefore, we can conclude that f( f−1(−3) ) = f(5) = −3.Thus, the value of f(5) is -3.

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Answer: C: 3/5

Step-by-step explanation:

1/2 is equal to 5/10

so 5/10+1/10= 6/10

6/10 can simplify to 3/5

Leon will pay a total of $29,520 for the loan if he chooses the 60-months repayment option, but only $27,000 + $607 x 48 = $29,136 for the 48-month repayment option.

To determine how much money Leon will save by repaying the loan in 48 months rather than 60 months, we need to calculate the total repayment amount for each option and then find the difference.

If Leon chooses to repay the loan in 48 months rather than 60 months, he will save a total of $2,520 ($112 saved per month). This is because the monthly payment amount is higher when the loan length is shorter, but the total amount of interest paid over the life of the loan is less.

Option 1: 60-month repayment
Interest rate: 3.8%
Monthly payment amount: $495
Total repayment amount: 60 months * $495 = $29,700

Option 2: 48-month repayment
Interest rate: 3.8%
Monthly payment amount: $607
Total repayment amount: 48 months * $607 = $29,136

Now, let's find the difference between the two total repayment amounts:
Savings = $29,700 (60-month repayment) - $29,136 (48-month repayment) = $564

Leon will save $564 if he repays the loan in 48 months rather than 60 months.

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The measure of BC is 9 units.

Now, According to the question:

The given data is:

Quadrilateral ABCD is similar to Quadrilateral WXYZ.

AB =15 WX =25 XY =15 and YZ =20

To find the measure of BC.

We know that the corresponding sides of similar figures are proportional.

It is given that Quadrilateral ABCD is similar to Quadrilateral WXYZ. It means their corresponding sides are proportional.

\(\frac{AB}{WX}=\frac{BC}{XY}=\frac{CD}{YZ}=\frac{AD}{WZ}\)

Now,

\(\frac{AB}{WX}=\frac{BC}{XY}\)

After substituting the given values, we get

\(\frac{15}{25}=\frac{BC}{15}\)

\(\frac{3}{5}=\frac{BC}{15}\)

Multiply both sides by 15.

\(\frac{3}{5}\) × 15 =  \(\frac{BC}{15}\) × 15

BC = 9

Therefore, the measure of BC is 9 units.

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The complete question is this:

Quadrilateral ABCD is similar to Quadrilateral WXYZ. If AB =15 WX =25 XY =15 and YZ =20, what is the measure of BC?

Answer:

The linear equation is y = 450 - 30 x, where y is the number of pages

Lourdes has left to read after x days

Step-by-step explanation:

Each day, Lourdes reads 30 pages of a 450-page book

- We need to write a linear equation to represent the number of pages

 Lourdes has left to read after x days

∵ Lourdes reads 30 pages each day

∵ Lourdes will read for x days

∴ The number of pages Lourdes will read in x day = 30 x

- The left pages will be the difference between the total pages of the

 book and the pages Lourdes read

∵ The book has 450 pages

∵ Loured will read 30 x in x days

∴ The number of pages left = 450 - 30 x

- Assume that y represents the number of pages Lourdes has left

 to read after x days

∴ y = 450 - 30 x

The linear equation is y = 450 - 30 x, where y is the number of

pages Lourdes has left to read after x days

Answer:

48/2

Step-by-step explanation:

you can just multiply it by the denominator to make any number an improper fraction

Answer:

$720

Step-by-step explanation:

$60 for 1 hour

$ ? for 12 hours

For 12 hours will have $60 twelve time.

? = 12x60 = $720

The innovation that was made possible in part because of the Carterfone decision in 1968 is the public Internet. The correct answer is option C

The Carterfone decision was a landmark ruling by the Federal Communications Commission (FCC) that allowed for the interconnection of third-party devices to the telephone network. Prior to this decision, telephone companies had a monopoly on the equipment that could be used on their networks, and customers were not allowed to attach their own devices.

This decision paved the way for the development of the public Internet by allowing for the interconnection of third-party devices to the telephone network, which enabled the creation of new technologies, such as modems. Without the Carterfone decision, the public Internet as we know it today may not have been possible.

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The congruent triangles in this problem are given as follows:

Triangles A and B.

Two figures are classified as congruent if their side lengths are the same.

If we rotate triangle B 180º over it's base, we have that it will have a similar format to triangle A, and also with the same side lengths.

Hence the congruent triangles in this problem are given as follows:

Triangles A and B.

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The geometric series which represent the provided number in the fraction form is,

\(\dfrac{4}{10}, \dfrac{4}{100},\dfrac{4}{1000},\dfrac{4}{10,000}\)

Geometric sequence is the sequence in which the next term is obtained by multiplying the previous term with the same number for the whole series.

The fraction number given in the problem is,

\(n=0.4444.....\)

Let's break the given number into the parts as,

\(n=0.4+0.04+0.004+0.0004+.....\)

The decimal number 0.4 is written as 4/10. Similarly, 0.04 can be written as 4/100. Thus, the above number can also be written as,

\(n=\dfrac{4}{10}+\dfrac{4}{100}+\dfrac{4}{1000}+\dfrac{4}{10,000}+\cdots\)

Hence, the geometric series which represent the provided number in the fraction form is,

\(\dfrac{4}{10}, \dfrac{4}{100},\dfrac{4}{1000},\dfrac{4}{10,000}\)

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Answer:

it b

Step-by-step explanation:just did the quiz