18 =a +19
Help me plzzzzz I really need help

Jenna and Mia arrived at the same answer because both the methods they have adopted are correct.

Given solution of a question done by two people.

Jenna's method

5(30+4)

(5)(30)+(5)(4)

150+20=170

Mia's method

5(30+4)

5(34)=170

We are required to find why they have achieved at the same answer.

Jenna and Mia have achieved at the same answer because they both have adopted the right method.Jenna's method is the equation in its simplest form. Addition of that is easily understood. While Mia's method is just valid as Jenna's some people may have trouble remembering the steps of multiplication within parantheses as well as being able to look at large multiplication problem and automatically knowing the answer or being able to get the answer as fast as simple addition.

Hence Jenna and Mia arrived at the same answer because both the methods they have adopted are correct.

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The table that shows a function that is decreasing only over the interval (–1, ∞) is circled on the image given at the end of the answer.

The behavior of a function is classified as either increasing, decreasing or constant, as follows:

In this problem, we want a function that is decreasing only over the interval (–1, ∞), hence:

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Answer:

20

Step-by-step explanation:

Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.

Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.

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A number raised to a power represents a product where the same number is used as a repeated factor. The number is called the base and the power is given by the exponent. The base is the repeated factor and the exponent counts the number of factors. An exponent is that we are dealing with products and multiplication.

In the expression bn, b is the base and n is the exponent.

The Power Rule for Exponents: (am)n = am*n.

To raise a number with an exponent to a power, multiply the exponent times the power.

Negative Exponent Rule: x–n = 1/xn.

Invert the base to change a negative exponent into a positive.

Zero Exponent Rule: x0 = 1, for .

Any non-zero number raised to the zeroth power is 1.

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There exists a bijective mapping between the lucky tickets and medium tickets, the number of lucky tickets (A) is equal to the number of medium tickets (B). Therefore, A = B.

To prove that the number of lucky tickets (A) is equal to the number of medium tickets (B), we can set up a bijection between the two sets of tickets.

Let's define a mapping from each lucky ticket to a medium ticket:

For a lucky ticket with the digits ABCDEF, where A, B, C represent the first three digits and D, E, F represent the last three digits, we can create a medium ticket with the digits ABCDCEF. In other words, we keep the first three digits the same and swap the positions of the fourth and sixth digits.

It can be observed that this mapping is one-to-one and onto (bijective) between the lucky tickets and medium tickets. Here's why:

One-to-one: Each lucky ticket uniquely maps to a medium ticket, and vice versa. This mapping preserves the sum of the digits and maintains the conditions for both lucky and medium tickets.

Onto: For any given medium ticket, we can find a corresponding lucky ticket that maps to it. By swapping the positions of the fourth and sixth digits, we can obtain a lucky ticket with the same sum of the first three digits as the given medium ticket.

Since there exists a bijective mapping between the lucky tickets and medium tickets, the number of lucky tickets (A) is equal to the number of medium tickets (B). Therefore, A = B.

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Answer:

The maintenance electrician takes 287.555555566667 hours to to rewire all the motors

Step-by-step explanation:

1. Calculate all of the minutes for all the numbers.

It takes you 26.6666667 minutes to rewire 2/3 of a motor.

It takes you 160 minutes to rewire 4 motors.

It takes you 266.666667 to rewire 6 2/3 motors

It takes you 7,200 minutes to rewire 180 motors

It takes you 9,600 minutes to rewire 240 motors

2. Add all of the minutes together.

26.666667 + 160 + 266.666667 + 7,200 + 9,600 = 17253.333334

It takes you 17253.333334 minutes to rewire 431.333333 motors

3. Convert minutes to hours

17253.333334/60 = 287.555555566667

It takes you 287.555555566667 hours to rewire all the motors

Answer:

The correct option is (a) 3759.

Step-by-step explanation:

The complete question is:

The natural resources of an island limit the growth of the population. The population of the island is given by the logistic equation \(P(t)=\frac{3759}{1+3.94e^{-0.38t}}\)where t is the number of years after 1980. What is the limiting value of the population?

(a) 3759

(b) 23

(c) 761

(d) 1017

Solution:

The limiting value is the value of the function P (t) for t → ∞.

As t → ∞, the expression \((3.94e^{-0.38t})\) → 0.

Thus, making the denominator of P (t) 1.

So, the limiting value of the population is, 3759.

Thus, the correct option is (a) 3759.

The net profit margin ratio for Jones Corporation for 2012 is 14.29%.

The net profit margin ratio or the net income ratio describes the relative size of the net income in comparison with the net sales revenue.

The ratio is the quotient of the two values with the net income as the numerator and the net sales revenue as the denominator, multiplied by 100.

                                      2012               2011

Net sales                    $784,000     $697,000

Cost of goods sold      406,000       377,000

Net income                    112,000         80,000

Net income ratio for 2012 = Net Income ÷ Net Sales x 100

= 14.29% ($112,000/$784,000 x 100)

Thus, when the net profit is compared to the net sales revenue, we can conclude that the net income represents only 14.29% of the net sales.

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The given statement exists true. A matrix is broken down into orthogonal (Q) and upper triangular (R) matrices in a process known as QR decomposition (factorization).

A matrix can be expressed as the union of two distinct matrices, Q and R, using the QR matrix decomposition. R is a square upper/right triangular matrix and Q is an orthogonal matrix. R is also invertible because it is square and doesn't have zeros in its diagonal entries.

A matrix is broken down into orthogonal (Q) and upper triangular (R) matrices in a process known as QR decomposition (factorization). Finding eigenvalues and solving linear least squares problems both use QR factorization.

A = QR. Be aware that the QR-factorization of a rectangular matrix A is sometimes understood with Q square and R rectangular rather than Q rectangular and R square, as with the MATLAB command qr.

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1. (4a - 5)+(3a + 6) = 7a + 1.
To solve, you simply combine the like terms (4a and 3a) to get 7a, and then combine the constants (-5 and 6) to get 1.

2. (6x + 9)+ (4x^2 - 7) = 4x^2 + 6x + 2.
To solve, you combine the like terms (6x and 4x^2) to get 4x^2 + 6x, and then combine the constants (9 and -7) to get 2.

3. (6xy + 2y + 6x) + (4xy - x) = 10xy + 2y + 6x - x = 10xy + 2y + 5x.
To solve, you combine the like terms (6xy and 4xy) to get 10xy, then combine the constants (2y and -x) to get 2y - x, and finally combine the like terms (6x and 5x) to get 11x. The final answer is 10xy + 2y + 5x.

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Probability of a flight being early ≈ 0.1852 or 18.52%

To calculate the probability that a flight is early, we need to divide the number of early flights by the total number of flights:

Probability of a flight being early = Number of early flights / Total number of flights

In this case, the number of early flights is given as 50, and the total number of flights is the sum of all the different arrival statuses: early, on time, late, and canceled.

Total number of flights = Number of early flights + Number of on-time flights + Number of late flights + Number of canceled flights

Total number of flights = 50 + 150 + 25 + 45 = 270

Now, we can calculate the probability:

Probability of a flight being early = 50 / 270

≈ 0.1852 or 18.52%

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The quantity of purple marbles that Leslie has would be = 32 purple marbles.

The number of bags of marbles that Leslie has = 6 bags.

The quantity of marbles that is found in each bag = 16 marbles.

Therefore the total number of marbles = 6× 16 =96 marbles.

The fraction of purple marbles that Leslie has = 1/3 of 96

Therefore the total number of purple marbles the Leslie have = 1/3× 96 = 32

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Complete question:

Leslie has 6 bags of marbles. Each bag has 16 marbles. If ⅓ of the marbles are purple, how many purple marbles does Leslie have?

The expected number of juniors in the committee is 1.3

The question is incomplete, the complete question is given below:

A committee of 3 members is selected from a club made up of 13 juniors members and 17 senior members. What is the expected number of juniors in the​ committee?

The expected number of juniors in the committee is computed here as:

Juniors in the committee=13

Seniors in the committee=17

Total number of members=(13+17)=30

Fraction of juniors in total members=13/30

So expected number of juniors in the committee:

=Fraction of juniors in total members*Total number of members to be selected

=(13/30)*3

=1.3

Therefore 1.30 is the expected number of juniors in the committee

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The yield to maturity on this bond according to the trial-and-error approach is 9.66 percent.

According to the statement

we have given that the Uan zhang bought a 10-year bond that pays 8. 25 percent interest per 6 months.

And we have to find that the yield to maturity on this bond.

So, For this purpose,

The amount given is $911. 10.

Years to maturity = n = 10

Coupon rate = C = 8.25%

Semiannual coupon = $1,000 × (0.0825/2) = $41.25

Yield to maturity = i

Present value of bond = PB = $911.10

Use the trial-and-error approach to solve for YTM. Since the bond is selling at a discount, we know that the yield to maturity is higher than the coupon rate.

Try YTM = 9.4%:

= $522.90 + 391.54 ≅ $914.43

The YTM is approximately 9.66 percent. Using a financial calculator provided an exact YTM of 9.656 percent (2 × 4.828%).

So, The yield to maturity on this bond according to the trial-and-error approach is 9.66 percent.

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The correct least squares estimate of b0 is -0.923.

The least squares estimate of a linear regression coefficient, denoted as b0, is the value that minimizes the sum of the squared residuals between the observed data points and the predicted values by the linear regression model.

To obtain the least squares estimate of b0, we can use the ordinary least squares (OLS) method, which involves minimizing the sum of the squared residuals. The formula for the least squares estimate of b0 is given by:

b0 = mean(y) - b1 × mean(x)

where y is the dependent variable, x is the independent variable, b1 is the estimated coefficient of x (also known as the slope), and mean() denotes the mean or average of the respective variables.

Now, the question states that the least squares estimate of b0 equals a. 0.923, b. 1.991, c. -1.991, d. -0.923. Among these options, the correct answer is d. -0.923.

Therefore, the correct answer is:

The correct least squares estimate of b0 is -0.923.

The least squares estimate of b0 is obtained using the formula b0 = mean(y) - b1 × mean(x), where b1 is the estimated coefficient of x. Since the question states that the least squares estimate of b0 equals -0.923, the correct answer is d. -0.923.

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The equation of the function is: H = 4t + 10.

The y-intercept of the function is 10, which is the height of the plant when Liam initially bought it.

To write the equation of a function, first, find the slope (m) = rise / run. You can pick any two points on the line to find the slope. Next, find the y-intercept (b) which is the point where the line intercepts the vertical axis of the graph.

Find the slope using the two points from the given graph, (5, 30) and (10, 50):

Slope (m) = change in H / change in t = (50 - 30) / (10 - 5) = 20/5

m = 4

The y-intercept is b = 10 [in this context, it is the height of the plant when Liam initially bought it]

To write the equation of the function, substitute m = 4 and b = 10 into H = mt + b:

H = 4t + 10

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The probabilities values in the questions are 7/25 and 7/13

The probability that both students are girls

From the question, we have the following parameters that can be used in our computation:

Class = 26

Girls = 14

Boys = 12

The probability that the students are girls is calculated as

P = Girl/Class * (Girl - 1)/(Class - 1)

Substitute the known values in the above equation, so, we have the following representation

P = 14/26 * 13/25

Evaluate

P = 7/25

This is calculated as

P(First given Second) = (Both girls)/P(Second is girl)

So, we have

P(First given Second) = (7/25)/(13/25)

Evaluate

P(First given Second) = 7/13

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Answer: 432 ft^2

Step-by-step explanation:

See attached picture

Answer:

36

Step-by-step explanation:

Same side

Answer:

Step-by-step explanation:

a is supplementary with 36 and b is supplementary with 113. Same side interior angles.

Supplementary angles sum to 180°

The value of Volume of prism is,

⇒ Volume  = 896 feet³

Since, WE know that;

The area of 3-dimensional solid which occupy is known as its volume. And, These solids are take the form of a cube, cuboid, cone, cylinder, or sphere.

We have to given that;

Base of a prism is type of a right triangle.

And, In right triangle,

Lenght of legs are 16 feet and 4 feet.

And, the height is 14 feet,

Since, We know that;

Volume of prism = B x h

Where, B = area of base

And h = height of prism.

Hence, We get;

The value of Volume of prism is,

V = 16 x 4 x 14

V = 896 feet³

Therefore, We get;

The value of Volume of prism is,

⇒ Volume  = 896 feet³

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A plasmid used in both yeast and bacteria requires two different selection markers because the same selection may not work for both hosts and bacteria and yeast recognize different promoters.

When using a plasmid in both yeast and bacteria, it is important to have two different selection markers for several reasons. First, the same selection, such as the presence of an antibiotic, may not be effective in both hosts. Different organisms have varying sensitivities to antibiotics, so a marker that works in bacteria may not work in yeast or vice versa. Therefore, two different selection markers are needed to ensure successful selection in both hosts.

Additionally, bacteria and yeast recognize different promoters, which are DNA sequences that control the initiation of gene expression. Promoters are specific to each organism and play a crucial role in regulating gene expression. By incorporating two different selection markers into the plasmid, each marker can be driven by a promoter recognized specifically by the corresponding host. This ensures that the selection marker is effectively expressed in the appropriate host organism, enabling accurate selection and maintenance of the plasmid.

In summary, using two different selection markers in a plasmid intended for both yeast and bacteria is necessary because the same selection may not be effective in both hosts, and different promoters are recognized by bacteria and yeast. This approach allows for successful selection and maintenance of the plasmid in both organisms.

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The correct formula that defines an arithmetic sequence is option d) tn = 5n + 14.

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms remains constant. In other words, each term can be obtained by adding a fixed value (the common difference) to the previous term.

In option a) tn = 5 + 14, the term does not depend on the value of n and does not exhibit a constant difference between terms. Therefore, it does not represent an arithmetic sequence.

Option b) tn = 5n² + 14 represents a quadratic sequence, where the difference between consecutive terms increases with each term. It does not represent an arithmetic sequence.

Option c) tn = 5n(n+14) represents a sequence with a varying difference, as it depends on the value of n. It does not represent an arithmetic sequence.

Option d) tn = 5n + 14 represents an arithmetic sequence, where each term is obtained by adding a constant value of 5 to the previous term. The common difference between consecutive terms is 5, making it the correct formula for an arithmetic sequence.

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The sentence "the Tigers scored twice as many points as the Sharks" means that the Tigers points is 2 times the Sharks points, then we can write

Therefore, the answer is option 1

Answer:

4.8(4 ones 4 tenths +4tenths)

34% of the data in a normal distribution is more than 1 standard deviation above the mean.

In a normal distribution, about 68% of the data falls within one standard deviation above or below the mean. This means that roughly 34% of the data falls one standard deviation above the mean.

To be more precise, we can use the empirical rule or the 68-95-99.7 rule, which states that:

Approximately 68% of the data falls within one standard deviation of the mean.

Approximately 95% of the data falls within two standard deviations of the mean.

Approximately 99.7% of the data falls within three standard deviations of the mean.

Therefore, if we assume that the normal distribution is perfectly symmetrical, we can estimate that roughly 34% of the data falls more than one standard deviation above the mean.

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The stated margin of error account for this possible bias is random error.

The term margin of error is defied as a statistic expressing the amount of random sampling error in the results of a survey

Here we know that the bias due to nonresponse is not accounted for by the margin of error.

And the people who have longer travel times to work might have less time to respond to a survey.

And the calculated estimate from the sample to be less than the true mean travel time to work.

Where as the bias due to nonresponse is not accounted for by the margin of error.

Here we have also know that the the margin of error doesn't account for any mistakes that we've made.

So now we have to look at longer travel times might have less time to respond for a survey right.

Then we get that  it only accounts for random error.

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The solution to the literal equation is y = x - 2.

To solve inequality in y, we need a number such that the assertion holds if we replace y with that number. Isolating the variable on one side of the inequality and leaving the other terms constant is the first step in resolving the inequality.

From the given information:

4x + 1 = 9 + 4y

To solve for y, we have to switch the sides:

9 + 4y = 4x + 1

Subtract 9 from both sides

9 - 9 + 4y = 4x + 1 - 9

4y = 4x - 8

Divide both sides by 4

\(\dfrac{4y}{4}= \dfrac{4x}{4}-\dfrac{8}{4}\)

y = x - 2

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