Parallel Lines Practice NO LINKS PLEASE and please explain this for me so i can understand

Answer:

Step-by-step explanation:

The table that shows a positive correlation is the first one:

y | 5 1 2 3

H | 1 2 2 4

In this table, we can see that as the values of y increase, the values of H also increase. Therefore, there is a positive correlation between y and H.

In the second table, we can also see a positive trend in the values of y and X. However, the trend is not consistent, as there is a jump from y = 18 to y = 31, and from y = 31 to y = 37. This suggests that there may be other factors influencing the relationship between y and X.

In the third table, we can see a negative correlation between y and LO, as the values of y decrease from 24 to 6, the values of LO also decrease.

Therefore, the first table shows a clear and consistent positive correlation between y and H.

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Answer:

the answer is graph B

Step-by-step explanation:

person up top is wrong.

Answer:

When solving, Jacob did not distribute properly.

Explanation:

Let's talk about 5(x + 2). The correct distribution would be 5x + 10. Jacob distributed 5 into x correctly and got 5x, however he did not distribute the 5 into 2 properly. It should have been 10, however it stayed as 2.

Jacob should be more careful when distributing, and make sure to distribute into EVERY term inside the parentheses.

The present value of the loan is found to be  approximately $70.28.

To find the present value of a loan, we can use the formula:

Present Value = Future Value / (1 + (interest rate * time))

Given that the future value is $1,321.17, the interest rate is 7.75%, and the time is 230 days, we can plug in these values into the formula:

Present Value = 1321.17 / (1 + (0.0775 * 230))

Calculating the expression in the parentheses first:

Present Value = 1321.17 / (1 + 17.8075)

Simplifying further:

Present Value = 1321.17 / 18.8075

Evaluating the division:

Present Value ≈ $70.28

Therefore, the present value of the loan is approximately $70.28.

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Answer:

23

Step-by-step explanation:

The number of car are in the y-intercept line so just add each one of the for every different bar.

3 + 4 + 5 + 6 + 3 + 2 = 23

So there are 23 vehicles in total.

The number of vehicles are at Nam's Gas Station is 23

Since The number of cars are in the y-intercept line

So here the no of vehicles should be

= 3 + 4 + 5 + 6 + 3 + 2

= 23

Here we added according to the given graph

Therefore, we can conclude that The number of vehicles are at Nam's Gas Station is 23

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Answer:

64

Step-by-step explanation:

Trust me, this is the answer, PLEASE GIVE ME BRAINLIEST

Answer:

They are vertical angles.

Step-by-step explanation:

Because line a is parallel to line b, angle 2 and 6 are congruent. Angles 2 and 7 are vertical angles which by the vertical angle theorem makes them also congruent. So therefore, angle 6 is congruent to angle 7

The incorporating paraphrasing restating or the rephrasing or restating information that has already been classified is commonly known as paraphrasing.

It process mainly will involve the taking of the original information and expressing it in a new way while maintaining the same meaning. This can be done by changing the wording, and sentence structure, or by using synonyms. The goal of paraphrasing is to make the information more understandable or to make it suitable for a different audience or purpose. It is often used in academic writing to avoid plagiarism by not using the same words or phrases as the original source.

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(a) The difference between the cost of the machine and the cash received is the loss on the sale, which is also credited. (b) The cash received is less than the machine's carrying amount, and the loss on sale is higher than in part (a).

(a) The entry to record the sale of the machine for $26,000 cash would be:

Cash                                    $26,000
Accumulated Depreciation   $27,000
Loss on Sale of Machine         $ 4,000
Machine                                  $49,000

The company needs to remove the machine from its books, so it will debit the machine's cost and accumulated depreciation to remove it. The cash received from the sale is credited.

(b) The entry to record the sale of the machine for $15,000 cash would be:

Cash                                    $15,000
Accumulated Depreciation   $27,000
Loss on Sale of Machine         $ 7,000
Machine                                  $49,000

The company needs to remove the machine from its books, so it will debit the machine's cost and accumulated depreciation to remove it. The cash received from the sale is credited. The difference between the cost of the machine and the cash received is the loss on the sale, which is also credited.

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The equation of line s is y + 7 = -7/6(x - 7).

What is slope of a line?

A line's steepness and direction are measured by the line's slope. A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates,  Δy, Δx respectively. Consequently, it is possible to write the change in y coordinate with respect to the change in x coordinate as m = Δy/Δx

Given equation of line r is y = 6/7x+1.

The slope of line r is m = 6/7

The slope of the line that is perpendicular to line r is -1/m = - 7/6.

The equation of line that passes through the point (x₁, y₁) with slope m is y - y₁ = m(x - x₁).

Putting m = - 7/6, x₁ = 7 and y₁ = -7 in y - y₁ = m(x - x₁):

y - (-7) = - 7/6(x - 7)

y + 7 = - 7/6(x - 7)

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The probability that exactly 30 drivers out of 600 say they read the newspaper while driving.

To find the probability that exactly 30 out of 600 randomly selected American drivers say they read the newspaper while driving, we can use the binomial probability formula.

The formula is P(X=k) = C(n,k) * p^k * (1-p)^(n-k), where:
- P(X=k) is the probability of getting exactly k successes
- C(n,k) is the number of combinations of n items taken k at a time
- p is the probability of success for each trial
- n is the total number of trials

In this case, the probability of a driver reading the newspaper while driving is given as 5%, or 0.05. So p = 0.05, and the number of trials is 600 (n = 600). We want to find the probability of exactly 30 drivers saying they read the newspaper while driving (k = 30).

Using the formula, the probability is:
P(X=30) = C(600,30) * 0.05^30 * (1-0.05)^(600-30)

Calculating this value will give you the probability that exactly 30 drivers out of 600 say they read the newspaper while driving.

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Answer:

\(\displaystyle 1\frac{2}{5}=\frac{7}{5}\)

Step-by-step explanation:

\(\displaystyle a\frac{b}{c}=\frac{ac+b}{c}\\\\1\frac{2}{5}=\frac{(1)(5)+2}{5}=\frac{5+2}{5}=\frac{7}{5}\)

If United Bank offers a 15-year mortgage at an APR of 6.2%.

a. Monthly Payment  is $1,025.90

b. Total Interest is  $64,662

c. Monthly Payment  $810.55

d. Total Interest is $123,165

e. Difference in the monthly payments is $215.35.

f.  You could save 10 years of payments

Using this formula to find the monthly payment

Monthly Payment = P * (r * (1 + r)^n) / ((1 + r)^n - 1)

Total Interest = (Monthly Payment * n) - P

where

P= principal amount borrowed

r = monthly interest rate (APR / 12)

n = total number of monthly payments

a. United Bank Monthly payment

P = $120,000

r = 6.2% / 12 = 0.00517

n = 15 years * 12 months/year = 180

Monthly Payment = 120000 * (0.00517 * (1 + 0.00517)^180) / ((1 + 0.00517)^180 - 1)

Monthly Payment  = $1,025.90

b.  United Ban Total interest

Total Interest = ($1,025.90* 180) - 120000

Total Interest = $64,662

c. Capitol Bank Monthly payment

P = $120,000

r = 6.5% / 12 = 0.00542

n = 25 years * 12 months/year = 300

Monthly Payment = 120000 * (0.00542 * (1 + 0.00542)^300) / ((1 + 0.00542)^300 - 1)

Monthly Payment  = $810.55

d. Capitol Bank Total interest

Total Interest = (810.55 * 300) - 120000

Total Interest = $123,165

e. Capitol Bank has the higher total interest by $58,503 ( $123,165 - $64,662).

f. The difference in the monthly payments is:

$1025.90 - $810.55= $215.35.

g. You could save 10 years of payments if you took up a 15-year mortgage as opposed to a 25-year mortgage.

Therefore the Monthly Payment  is $1,025.90.

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The distance between points M(6, 16) and Z(-1, 14) is approximately 7.1 units.

We can use the distance formula to find the distance between two points in a coordinate plane. The distance formula is:

d = √((x2 - x1)² + (y2 - y1)²)

where (x1, y1) and (x2, y2) are the coordinates of the two points. Substituting the coordinates of M(6, 16) and Z(-1, 14), we get:

d = √((-1 - 6)² + (14 - 16)²) = √(49 + 4) = √53 ≈ 7.1

Therefore, the distance between points M(6, 16) and Z(-1, 14) is approximately 7.1 units.

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The Average Speed of car for the round trip is 346.28 km/ hr.

Average Speed is calculated by dividing the total distance that something has travelled by the total amount of time it took it to travel that distance.

If a  car travels a distance d at rate r₁ and return the same distance at rate r₂, then,

Average Speed =  total distance ÷ total time

                          = 2d ÷ d/r₁ + d/r₂

                          = 2d ÷ r₂d + r₁d / r₁r₂

                          = 2r₁r₂ / r₁ +r₂

∴ x = 2× 3030×4040/ 3030 +4040

     = 2448240 ÷ 707

     = 346.28 km/hr

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Answer:

1st one, (1,7) (2,9) (3,12)  and so on

Step-by-step explanation:

Step-by-step explanation:

Tn = a + (n-1)d

where a is the first term, d is the common difference and n is the nth term

For the 6th term: T6 = a + (6-1)d

= a + 5d

For the 8th term: T8 = a + (8-1)d

= a + 7d

From the question (a + 5d)/(a + 7d) = 7/9

From the Equation above, we can say that;

a + 5d = 7......1

a + 7d = 9.....2

Solving equations 1 & 2 simultaneously, we have that a = 2 and d = 1

Sn = n/2[2a + (n-1)d]

where Sn is the sum of nth terms, n is the nth term, a is the first term and d is the common difference.

By substituting the values gotten into this equation. You would be able to find the ration between the sum of the first 10 terms to the sum of the first 20 terms

Answer:

see analysis for detailed explanation

The population density of Orange is approximately 5,448.2 people per square mile (in scientific notation, 5.4482 x 10^3 people/mi^2). The population of Orange is given as 140,560. The area of Orange is given as 25.8 square miles.

To find the population density, we divide the population of Orange by the area of Orange in square miles. The population of Orange is given as 140,560.

The area of Orange is given as 25.8 square miles.

To express 140,560 in scientific notation, we write it as 1.4056 x 10^5.

Similarly, 25.8 can be written as 2.58 x 10^1.

Now, we divide the population by the area:

(1.4056 x 10^5) / (2.58 x 10^1) = 5.4482 x 10^3.

In scientific notation, this can be written as approximately 5.4482 x 10^3 people per square mile.

Therefore, the population density of Orange is approximately 5,448.2 people per square mile.

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The smallest measurement used in the apothecary system for volume is the minim.

The apothecary system is an outdated system of measurements primarily used in pharmacy and medicine. It includes various units for measuring volume, weight, and other quantities.

In the apothecary system, the minim is the smallest unit of measurement for volume. It is equivalent to approximately 0.0616 milliliters.

The minim is a small unit of measurement and is typically used for precise dosing of liquids in the apothecary system. It is commonly used in pharmaceutical compounding and in the preparation of medications.

However, it's important to note that the apothecary system is no longer widely used in modern healthcare practices. The metric system, with units such as milliliters and liters, has become the standard for measuring volume in most countries.

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One person represents 3/4 of a degree. You need to divide 360 degrees (a full circle) by the total number of people surveyed.

First, find the total number of people surveyed by adding up the frequencies: 84 + 72 + 108 + 60 + 156 = 480.

Next, divide 360 degrees by 480 people: 360 / 480 = 0.75 degrees.

So, one person represents 0.75 degrees.

To express this as a fraction in its simplest form, convert 0.75 to a fraction by putting it over 1: 0.75/1.

Simplify the fraction by multiplying both the numerator and denominator by 100: (0.75 * 100) / (1 * 100) = 75/100.

Further simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 25: 75/100 = 3/4.

Therefore, one person represents 3/4 of a degree.

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Answer:

\(\frac{(3-2a)}{a^2}\)

Step-by-step explanation:

Given expression is,

\(\frac{3}{a^2}- \frac{2}{a}\)

First equalize the denominators of the fractions,

\(\frac{3}{a^2}-\frac{2a}{a^2}\)

Now combine the fraction as a single fraction,

\(\frac{(3-2a)}{a^2}\)

Since, we can not solve this fraction further, this will be simplified form of the given expression.

Answer:

2775

Step-by-step explanation:

Answer:

Solution,

Radius= 12

Theta= 120

Length of arc AB:

\( \frac{120}{360} \times 2\pi(12) \\ = \frac{120}{360} \times 24\pi \\ = 8\pi\)

Hope this helps...

Good luck on your assignment...

Answer:

Slope: 3

Step-by-step explanation:

find 2 points on the line and do rise/run which would get 3/1 which is 3

Answer:

x = 5

Step-by-step explanation:

Angles in a  triangle = 180°

 (6x + 20) + (7x - 10) + 105 = 180°

 13x + 10 +105 = 180

  13x + 115 = 180

         -115 = -115      

   13x         = 65

    x = 65/13

     x = 5                  

Answer:

(-6, 6), (2, 6), (-6, -2), (2, -2)

Step-by-step explanation:

Unfortunately, you can't just multiply the coordinates of the corners by 4.  That works if the center of the enlargement is the origin, (0, 0).  So you have to do this enlargement in 3 steps for each of the corner points.

Step 1  Move the point right 2 units and down 2 units \((x,\,y) \to (x+2,\,y-2)\).

The reason for this step is that this is what you do to move the center (-2, 2) to (0, 0).

Step 2  Multiply the new coordinates by 4.

Step 3 Move the new point left 2 units and up 2 units \((x,\,y) \to (x-2,\,y+2)\).

Example:  using the upper-left corner (-3, 3)...

Step 1  \((-3,\,3) \to (-1,\,1)\)

Step 2  \((-1,\,1) \to (-4,\,4)\)

Step 3  \((-4,\,4) \to (-6,\,6)\)

Repeat the process with the other three corners.

The coordinates of the vertices of the image is A'(-6, -2), B'(-6, 6), C'(2, -2) and D'(2, 6)

Dilation is the increase or decrease in the size of a figure by a scale factor of k.

The vertices is at A(-3, 1), B(-3, 3), C(-1, 1) and D(-1, 3). The figure is enlarge by a scale factor 4 with centre of enlargement (-2, 2). Hence:

A' = (4(-3-(-2)) + (-2), 4(1 - 2) + 2) = (-6, -2)

B' = (4(-3-(-2)) + (-2), 4(3 - 2) + 2) = (-6, 6)

C' = (4(-1-(-2)) + (-2), 4(1 - 2) + 2) = (2, -2)

D' = (4(-1-(-2)) + (-2), 4(3 - 2) + 2) = (2, 6)

The coordinates of the vertices of the image is A'(-6, -2), B'(-6, 6), C'(2, -2) and D'(2, 6)

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For the simple harmonic motion equation d=2 sin(pi/3t), the period is 6 seconds.

The period of a simple harmonic motion is the time taken for one complete cycle of the motion. In this equation, d represents the displacement or position of the object at time t. The equation is in the form of sin function with the argument (pi/3)t. The general form of the equation for simple harmonic motion is d=A sin(ωt+φ), where A is the amplitude, ω is the angular frequency, and φ is the phase angle. To determine the period of this motion, we can use the formula T=2π/ω, where T is the period and ω is the angular frequency. In this case, ω=pi/3, so the period is T=2π/(pi/3)=6 seconds (rounded to the nearest second). Therefore, the object completes one full cycle of motion every 6 seconds.

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Answer:

The total cost is 49.59 the answer for the second question is 10.16

Step-by-step explanation:

Part A. self explanatory, i just added all of the pieces together and got 49.59.

Part B. I just solved the expression 20.75 - 10.59 and got 10.16.

There is insufficient evidence to support the claim, so the hypothesis  is retained.

a.  It is a two-tailed hypothesis test.

b. The p-value for z = 1.57 is 0.1160 (rounded to four decimal places).

c. The P-value = 0.0588 + 0.0588

= 0.1176

≈ 0.1160 (rounded to four decimal places).

a. Since the test claim is "p≠0.612", it is a two-tailed hypothesis test.

b. Using the standard normal distribution table, the p-value can be determined. The p-value for z = 1.57 is 0.1160 (rounded to four decimal places).

c. Since the significance level α=0.01 is less than the P-value 0.1160, we do not reject the null hypothesis. There is insufficient evidence to support the test claim. So, we fail to reject H0.

Therefore, there is insufficient evidence to support the claim, so the null hypothesis is retained.

The following is the calculation for the P-value:

P(Z > 1.57) = 0.0588 (rounded to four decimal places)

P(Z < -1.57) = 0.0588 (rounded to four decimal places)

Therefore, the P-value = 0.0588 + 0.0588

= 0.1176

≈ 0.1160 (rounded to four decimal places).

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Answer:

1. D) -4/3 or 4/3

2. A) -6 or 8

Step-by-step explanation:

Answer:

x=4/3 or -4/3

x=8,-6

Step-by-step explanation:

True. Exception reports show a greater level of detail than is included in routine reports.

Exception reports are reports that help in identifying data that does not conform to expected patterns. Exception reports show information about an exception in the data set.

This helps to identify irregularities or anomalies in data or system operations.Exception reports are used to analyze system performance, monitor resource consumption, and to detect unusual activity.

This type of report is important to identify issues or errors, where the routine reports or standard reports would not provide enough detail or insight to do so.

It provides detailed information on any unusual event or anomaly that occurred beyond the usual course of events or processes.Exception reports are generated and distributed when the data is not expected or when an event occurs that is outside of what is considered typical.

For example, a financial system might generate an exception report if a transaction is entered that exceeds the maximum allowed amount. This report would show the details of the transaction and highlight the exception.

The purpose of exception reports is to provide users with a higher level of detail than they would find in routine reports. Exception reports are used to highlight significant data, which will be used for further analysis or action.

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