Solve for x be sure to show your work.

In the debt range, the number of borrowers in this range be so large because of the addition of students who haven't completed college and those who haven't yet repayed their loan.

It should be noted that debt simply means an obligation that requires a debtor to pay the creditor.

In this case, the number of borrowers in this range be so large because of the addition of students who haven't completed college and those who haven't yet repayed their loan.

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Therefore , the solution of the given problem of equation comes out to be  option c is correct 2y = f(x) .

The equal letter (=) is used to signify equivalence between the statements in a mathematical formula. Using mathematical equation, which are declarations of reality, it is shown that many mathematical variables are equivalent. For instance, the equal sign in the equation

y + 6 = 12 divides the values 12 or b + 6 into two halves. The number of words that each side of a symbol corresponds to can be measured. Typically, a symbol's meaning is at odds with itself.

Here,

Given :

Every point on the graph in red is 1/2 away from the x-axis as that of the equivalent position on the graph in black.

Therefore, the vertically scale factor is equal to 1/2:

=> y = (1/2)f(x)

This problem can be solved by multiplying it by two and yields the following solution:

=> 2y = f(x)

thus , option c is correct

Therefore , the solution of the given problem of equation comes out to be  option c is correct 2y = f(x) .

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Aggregate Demand (AD) is a macroeconomic concept that represents the total demand for goods and services in an economy. The X factor in the AD equation represents exports, which are an important part of the economy.

AD is calculated by adding up the individual components of demand, which include consumer spending (C), investment spending (I), government spending (G), and net exports (X-M). The X-M component represents the difference between exports (X) and imports (M).

The X component in the equation represents exports, which are the goods and services produced domestically and sold to foreign countries. Exports are an important part of the economy as they generate income and create jobs. The M component in the equation represents imports, which are the goods and services purchased from foreign countries and consumed domestically. Imports can have a negative impact on the economy as they represent a drain on resources and can lead to a trade deficit. The X factor in the equation is used to represent exports because it is a variable that can change over time. Factors that can affect exports include exchange rates, tariffs, and global demand for certain products. If the exchange rate between two currencies changes, it can make exports more or less expensive for foreign buyers, which can affect the level of exports. Tariffs are taxes on imports, which can make domestic products more competitive in foreign markets.

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when a ball travels in an arc, reaches its peak, and then returns to the ground in an arc. It can be claimed that the acceleration is pointing downward when the ball is in flight.

The rate at which an object's velocity with respect to time changes is known as its acceleration. Accelerations are vector quantities (in that they have magnitude and direction). The direction of the net force acting on an object determines its acceleration. According to Newton's Second Law, the amount of an object's acceleration is the result of two causes working together.

The given statement states that the throw of a ball is at an angle. It travels in an arc, ascends to its peak, and then descends in an arc to the earth.

Acceleration from gravity is always constant and downward at all points in the projectile motion, so it is pointing downward.

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Answer:x=pm-pn

Step-by-step explanation:

M=n+x/p

M-n =x/p

P(m-n)=x

X=pm-pn

Answer:

If it does not pass through the origin, or is anything other than linear, it is not proportional

1.) Non-proportional

2.) Proportional

3.) Non-proportional

4.) Non-proportional

5.) Proportional

6.) Proportional

7.) Non-proportional

10.) Non-proportional

11.) Non-proportional

Answer:

Step-by-step explanation:

N means Non-Proportional

P means Proportional

1.N

2.P

3.N

4.N

5.P

6.N

7.N

10.N

11.N

Answer:

1: 5 2: 13 3: sqr root of 15 4: 1 5: 1 6: 3

Step-by-step explanation:

Follow the formula a squared plus b squared equals c squared. C is always the longest side of the equation. So figure out your variables to fill in and in the end, square root your remaining answer.

The map visually represents the spatial distribution of the Hispanic population across U.S. counties, allowing for the identification of patterns and clusters. On the other hand, the histogram provides a quantitative representation of the distribution, illustrating the frequency or density of Hispanic population within specific ranges or categories.

The map reveals certain features that may not be apparent in the histogram. For instance, it allows us to observe spatial concentrations or clusters of Hispanic population, such as regions with high densities of Hispanic residents or areas where the Hispanic population is more dispersed. These spatial patterns can provide insights into factors like immigration patterns, cultural heritage, or historical settlement patterns that influence the distribution of the Hispanic population in the United States.

Conversely, the histogram highlights features that may not be readily visible in the map. The histogram enables a more detailed examination of the distribution within specific population ranges or categories. It can reveal the frequency or density of the Hispanic population within each range, allowing for comparisons across different counties or regions. By examining the histogram, one can identify variations in the size or proportion of the Hispanic population in different areas, potentially indicating demographic disparities or variations in population growth rates.

In summary, the map provides a visual understanding of the spatial distribution of the Hispanic population, highlighting clusters and patterns, while the histogram offers a quantitative representation, revealing variations in population density within specific ranges or categories. Both tools are valuable for analyzing and interpreting the distribution of the Hispanic population in U.S. counties, providing complementary perspectives for understanding demographic trends and patterns.

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Answer:

D. 3.2553

Step-by-step explanation:

3/3.65 + 2/0.822

0.8219 + 2.4330

3.2553

Answer:

\(\sf D) \quad 3.2553\)

Step-by-step explanation:

Simplify the given expression:

   \(\sf \dfrac{3}{\sqrt{5}+\sqrt{2}}+\dfrac{2}{\sqrt{5}-\sqrt{2}}\)

\(\sf = \dfrac{3(\sqrt{5}-\sqrt{2})}{(\sqrt{5}+\sqrt{2})(\sqrt{5}-\sqrt{2})}+\dfrac{2(\sqrt{5}+\sqrt{2})}{(\sqrt{5}+\sqrt{2})(\sqrt{5}-\sqrt{2})}\)

\(\sf = \dfrac{3(\sqrt{5}-\sqrt{2})}{3}+\dfrac{2(\sqrt{5}+\sqrt{2})}{3}\)

\(\sf = \dfrac{3\sqrt{5}-3\sqrt{2}+2\sqrt{5}+2\sqrt{2}}{3}\)

\(\sf =\dfrac{5\sqrt{5}-\sqrt{2}}{3}\)

Given:

Substitute the given values into the simplified expression:

\(\sf =\dfrac{5(2.236)-1.414}{3}\)

\(\sf =\dfrac{11.18-1.414}{3}\)

\(\sf =\dfrac{9.766}{3}\)

\(\sf =3.2553\:\:(4\:d.p.)\)

Answer:

it will take john 25 minutes to swim five laps

Step-by-step explanation:

Since it takes john 10mins to swim 2 laps, we can tell that it would have taken him about 5 minutes to swim 1 lap, that's 5mins per lap, and 5 times 5 =25

Hope that helps!

Given that, The 99% confidence interval of a population mean is (1,7). We need to find the 95% confidence interval.As the confidence interval becomes wider as the confidence level increases. Hence, the 95% confidence interval will have a greater range than the 99% confidence interval.Confidence interval can be calculated by the formula:Confidence Interval = $\overline{X}$ ± Zα/2 (σ/√n)Where, $\overline{X}$ is the sample mean.Zα/2 is the critical valueσ is the population standard deviationn is the sample sizeNow, Zα/2 for 99% confidence interval is 2.576 as per the normal distribution table.In the same way, Zα/2 for 95% confidence interval is 1.96.Converting the above formula for 95% confidence interval:1.96 = (1,7 - $\overline{X}$)/(σ/√n)On solving the above equation, we get: σ/√n = 0.2039σ = 0.2039 √n.....(1)Also, (1,7 - $\overline{X}$)/σ = 1.96....(2)Substituting equation (1) in equation (2), we get:(1,7 - $\overline{X}$)/ (0.2039√n) = 1.96On solving this equation, we get:$\overline{X}$ = 1.47 √n + 1.7...........(3)Now, for option (a), (b), (c) and (d), we need to verify which option satisfies the equation (3).Let's check for option (a):(2+6)/2 = 4............taking the average1.47 √n + 1.7 = 4n = 19.22 squaring both sidesn = 363.6Hence, option (a) is the correct answer.Write the answer in main part:The 95% confidence interval is (2,6).Explanation:On solving the equation, we get that the option (a) is correct. Therefore, the 95% confidence interval is (2,6).Conclusion:Therefore, option (a) (2,6) is the correct 95% confidence interval.

The 95% confidence interval for the population mean is given as follows:

c) (2,6).

The 99% confidence interval for the population mean is given as follows:

(1,7).

Hence the sample mean is given as follows:

(1 + 7)/2 = 4.

Meaning that the mean of the two bounds in the interval must be of 4.

The 95% confidence interval is narrower than the 99% confidence interval, hence, considering the mean of the bounds of 4, option c is the correct option for this problem.

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Answer:

\(\frac{1}{81}\)

Step-by-step explanation:

\((\frac{1}{3} )^{4}\)

We know this is written as

\(\frac{1}{3}*\frac{1}{3}*\frac{1}{3}*\frac{1}{3}\)

Let's solve:

\(\frac{1}{3} * \frac{1}{3} = \frac{1}{9}\\ \frac{1}{9} *\frac{1}{3} = \frac{1}{27} \\\frac{1}{27} * \frac{1}{3} = \frac{1}{81}\)

To make parallelogram WXYZ a square, the following conditions must be met:

1. All four sides of the parallelogram must have equal length.

2. The angles between adjacent sides must be 90 degrees.

Since a square is a special type of parallelogram with all sides equal and all angles equal to 90 degrees, we can determine the value of m that would make WXYZ a square by ensuring that these conditions are met. To find the value of m, we need more information about the dimensions or properties of the parallelogram WXYZ. Please provide additional details or measurements related to the parallelogram. The diagonals of a square are equal in length and bisect each other at 90-degree angles. The perimeter of a square is the sum of all four sides, and the area of a square is calculated by squaring the length of one side.In order for parallelogram WXYZ to be a square, it must have congruent sides and right angles at each vertex.

Since opposite sides of a parallelogram are congruent, we can equate the lengths of adjacent sides to find the value of m that would make it a square.

Let's assume that WX and XY are adjacent sides of the parallelogram.

If WX = XY, then the parallelogram would have congruent sides.

Let's say WX = m and XY = m.

To form a square, the angles at each vertex must be right angles. This means that WX and XY must be perpendicular to each other.

In a square, opposite sides are parallel, so the slopes of WX and XY must be negative reciprocals of each other.

The slope of WX can be represented as (change in y) / (change in x). Since it is perpendicular to XY, its slope will be the negative reciprocal of the slope of XY.

Let's assume the slope of XY is denoted as a. Then the slope of WX would be -1/a.

We can now equate the slopes of WX and XY:

-1/a = (change in y) / (change in x)

Simplifying this equation, we get:

a = -1

Therefore, the slope of XY is -1.

Now, we can equate the lengths of WX and XY:

m = m

Since WX = XY and both sides have length m, we can say that m = m.

So, any value of m would make parallelogram WXYZ a square as long as the sides WX and XY are congruent and perpendicular to each other, with a slope of -1.

hence, the value of m = -1.

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Answer: 1,004.8 or 320\(\pi\)

Step-by-step explanation:

\(\frac{1}{3} \pi 8^{2} 15=1,004.8\)

Answer:

y=3x-250

Step-by-step explanation:

Slope intercept form: y=mx+b

Step 1) to find slope, use (y2-y1)/(x2-x1)

(101-77)/(117-109) = 3

m = 3

Step 2) determine y-intercept (b)

109 * 3 = 327

77-327 = -250

b=-250

y=3x-250

The probability that a randomly selected observation exceeds 43 is 0.7.

Since x is a uniform random variable over the interval [40, 50], we know that the probability density function is constant over this interval. That means that any sub-interval of [40, 50] has the same probability of being selected.

To find the probability that a randomly selected observation exceeds 43, we need to find the area under the probability density function from 43 to 50. This area represents the probability that x is greater than 43.

To do this, we can calculate the total area under the probability density function from 40 to 50, and then subtract the area from 40 to 43. The total area is simply the length of the interval, which is 50 - 40 = 10. Since the probability density function is constant over the interval, its value is 1/10 for any sub-interval.

So, the area from 40 to 43 is (43 - 40) * (1/10) = 3/10, and the area from 43 to 50 is (50 - 43) * (1/10) = 7/10. Therefore, the probability that a randomly selected observation exceeds 43 is 7/10, or 0.7.

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The given statement "the probability of the union of two events occurring can never be more than the probability of the intersection of two events occurring." is False.

The union of two events A and B represents the event that at least one of the events A or B occurs. The probability of the union of two events can be calculated using the formula:

P(A or B) = P(A) + P(B) - P(A and B)

On the other hand, the intersection of two events A and B represents the event that both events A and B occur. The probability of the intersection of two events can be calculated using the formula:

P(A and B) = P(A) * P(B|A)

where P(B|A) is the conditional probability of B given that A has occurred.

It is possible for the probability of the union of two events to be greater than the probability of the intersection of two events if the two events are not mutually exclusive.

In this case, the probability of both events occurring together (the intersection) may be relatively small, while the probability of at least one of the events occurring (the union) may be relatively high.

In summary, the probability of the union of two events occurring can sometimes be greater than the probability of the intersection of two events occurring, depending on the relationship between the events.

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Answer:

212*(2)ⁿ

6784

Step-by-step explanation:

To find the number of two tailed monkey in 2016 we have

212*2

to find in 2017

212*2*2 or 212*2^2

we can write the following equation

212*(2)^n

where n is the number of years

To find the number of monkeys in 2020 we plug in 5 for n

6784

The number of tractors lent by the first, second and third stations results in a system of three simultaneous equations which indicates;

The first originally station had 39 tractors, the second station had 21 tractors and the third station originally had 12 tractors

Simultaneous equations are a set of two or more equations that have common variables.

Let x represent the number of tractors at the first station, let y represent the number of tractors at the second tractor station, and let z, represent the number of tractors at the third tractor station

According to the details in the question, after the first transaction, we get

Number of tractors at the first station = x - y - z

Number of tractors at the second station = y + y = 2·y

Number of tractors at the third station = z + z = 2·z

After the second transaction, we get;

Number of tractors at the first station = 2·x - 2·y - 2·z

Number of tractors at the second station = 2·y - (x - y - z) - 2·z = 3·y - x - z

Number of tractors at the third station = 2·z + 2·z = 4·z

After the third transaction, we get;

Number of tractors at the first station = 2 × (2·x - 2·y - 2·z) = 4·x - 4·y - 4·z

Number of tractors at the second tractor station = 6·y - 2·x - 2·z

Number of tractors at the third tractor station = 4·z - (2·x - 2·y - 2·z) - (3·y - x - z) = 7·z - x - y

The three equations after the third transaction are therefore;
4·x - 4·y - 4·z = 24...(1)

6·y - 2·x - 2·z = 24...(2)

7·z - x - y = 24...(3)

Multiplying equation (2) by 2 and subtracting equation (1) from the result we get;

12·y - 4·x - 4·z - (4·x - 4·y - 4·z) = 16·y - 8·x = 48 - 24 = 24

16·y - 8·x = 24...(4)

Multiplying equation (3) by 2 and multiplying equation (2) by 7, then adding both results, we get;

14·z - 2·x - 2·y = 48

42·y - 14·x - 14·z = 168

42·y - 14·x - 14·z + (14·z - 2·x - 2·y) = 48 + 168

40·y - 16·x = 216...(5)

Multiplying equation (4) by 2 and then subtracting the result from equation (5), we get;

40·y - 16·x - (32·y - 16·x) = 216 - 48 = 168

8·y = 168

y = 168/8 = 21

The number of tractors initially at the second station, y = 21

16·y - 8·x = 24, therefore, 16 × 21 - 8·x = 24

8·x = 16 × 21 - 24 = 312

x = 312 ÷ 8 = 39

The number of tractors initially at the first station, x = 39

7·z - x - y = 24, therefore, 7·z - 39 - 21 = 24

7·z = 24 + 39 + 21 = 84

z = 84/7 = 12

The number of tractors initially at the third station, z = 12

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Aaron's taxable income is negative (-$10,100), it means that he does not have any taxable income.

To determine the amount of taxable income for Aaron Rentz in 2020, we need to consider his wages, interest income, and any deductions or credits he may be eligible for.

From the given information, Aaron has $900 of wages and $1,400 of interest income.

In 2020, the standard deduction for a single individual was $12,400. Since Aaron is a qualifying child of his parents, he may not be able to claim his own personal exemption.

To calculate Aaron's taxable income, we subtract the standard deduction from his total income:

Taxable Income = Total Income - Standard Deduction

Taxable Income = $900 + $1,400 - $12,400

Taxable Income = $2,300 - $12,400

Taxable Income = -$10,100

Since Aaron's taxable income is negative (-$10,100), it means that he does not have any taxable income.

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172 ÷ 4 = 43 miles per hour

43 ÷ 5 = 10.75 miles per 12 minutes

Answer:

- \(\frac{1}{3}\)

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x - 8 ← is in slope- intercept form

with slope m = 3

Given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{3}\) ← slope of perpendicular line

Answer:

The Answer is B: We must find the opposite reciprocal of the slope of the line whose equation we were given.

Step-by-step explanation:

I have the same exact question and I also do acellus.

An ice cream shop has 10 flavors and one can choose 4 different flavors. The question asks for the total number of possible flavor combinations.Therefore, we need to find the number of ways in which 4 flavors can be chosen from 10 flavors.

In such cases where order does not matter and repetitions are not allowed, we can use the formula for combinations which is as follows:C(n, r) = n! / (r! (n - r)!)Where n is the total number of items, r is the number of items being chosen at a time and ! represents the factorial function.

Using this formula we can find the total number of possible flavor combinations. Substituting the values in the above formula, we get:C(10, 4) = 10! / (4! (10 - 4)!)C(10, 4) = (10 * 9 * 8 * 7) / (4 * 3 * 2 * 1)C(10, 4) = 210Hence, there are 210 possible flavor combinations when one can choose 4 different flavors

.Explanation:The formula to be used for this type of question is combination. Combination is the method of selecting objects from a set, typically without replacement (without putting the same item back into the set) and where order does not matter. The formula for combination is given by C(n,r)=n!/(r!(n-r)!).

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Answer:

B

Step-by-step explanation:

The explanation is attached below.

Answer:

x = 9

DE = 13

EF = 36

DF = 28

Step-by-step explanation:

DF = EF

7x - 35 = 4x - 8

3x = 27

x = 9

DE = x + 4 = 9 + 4 = 13

EF = 4x - 8 = 4(9) - 8 = 36

DF = 7x - 35 = 7(9) - 35 = 28

The sentences is completed as follows

To model 2x + 4, you need:

To model 3x + (−1) you’ll need:

An algebra tile model is a graphic representation made out of various arrangements of algebra tiles. A model's function is to depict a polynomial expression or equation.

Algebra tiles it self are shapes of different colors that represents numbers or parts of numbers.

In the question, algebra tiles are used to represent the equations used in the problem. The tiles in the problem will be of 3 types

2x + 4

In this case, the equation will require the twice the x-tiles then 4 positive unit tiles

3x + (−1)

In this case, the problem is represented using 3 x-tiles and 1 negative unit tile.

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Answer:2,4,positive,negative

Step-by-step explanation:

The exchange rate of the euro/pound expressed to four decimal places is 1.0100 euro/pound.

To find the exchange rate of the euro/pound, we can use the given exchange rates of dollar/pound and dollar/euro.

Let's denote the exchange rate of euro/pound as E.

Given:

Exchange rate of dollar/pound = 1.21 dollar/pound

Exchange rate of dollar/euro = 1.22 dollar/euro

To find the exchange rate of euro/pound, we can divide the exchange rate of dollar/euro by the exchange rate of dollar/pound:

E = (Exchange rate of dollar/euro) / (Exchange rate of dollar/pound)

E = 1.22 dollar/euro / 1.21 dollar/pound

Simplifying this expression, we get:

E = 1.01 euro/pound

Therefore, the exchange rate of the euro/pound, is 1.0100 euro/pound.

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