which ordered pair could be removed from the graph to create a set of ordered pairs that represents a function?

A. (-4,2)
B. (-4,1)
C. (1,3)
D. (2,-3)​

Theresa and Raul have approximately $264,875.60 in equity in their house after making 120 monthly payments. Emon’s balloon payment at the end of 7 years is approximately $190,347.68.

Let’s calculate the equity that Theresa and Raul have in their house now:

1. Initial purchase price: $200,000

Down payment: 20% of $200,000 = $40,000

Loan amount: $200,000 - $40,000 = $160,000

2. Monthly interest rate: 6% / 12 months = 0.06 / 12 = 0.005

Number of monthly payments: 30 years * 12 months = 360 months

To calculate the monthly payment, we can use the formula for a fixed-rate mortgage:

Monthly payment = P * r * (1 + r)^n / ((1 + r)^n – 1)

Where:

P = Loan amount = $160,000

R = Monthly interest rate = 0.005

N = Number of monthly payments = 360

Using this formula, we can calculate the monthly payment:

Monthly payment = $160,000 * 0.005 * (1 + 0.005)^360 / ((1 + 0.005)^360 – 1)

             ≈ $959.37

Now, let’s calculate the total amount paid over the 120 monthly payments:

Total amount paid = Monthly payment * Number of monthly payments

                = $959.37 * 120

                = $115,124.40

Finally, to calculate the equity, we subtract the total amount paid from the current house value:

Equity = Current house value – Total amount paid

      = $380,000 - $115,124.40

      = $264,875.60

Therefore, Theresa and Raul have approximately $264,875.60 in equity in their house now.

Now let’s calculate Emon’s balloon payment at the end of 7 years:

1. Loan amount: $280,000

2. Monthly interest rate: 2.9% / 12 months = 0.029 / 12 = 0.00242

Number of monthly payments: 7 years * 12 months = 84 months

To calculate the monthly payment, we can use the same formula as before:

Monthly payment = P * r * (1 + r)^n / ((1 + r)^n – 1)

Where:

P = Loan amount = $280,000

R = Monthly interest rate = 0.00242

N = Number of monthly payments = 360

Using this formula, we can calculate the monthly payment:

Monthly payment = $280,000 * 0.00242 * (1 + 0.00242)^84 / ((1 + 0.00242)^84 – 1)

             ≈ $1,125.32

Since the monthly payments are based on a 30-year amortization, at the end of 7 years, there will still be a remaining balance on the loan.

Remaining balance = Loan amount – (Monthly payment * Number of monthly payments)

                = $280,000 – ($1,125.32 * 84)

                ≈ $190,347.68

Therefore, Emon’s balloon payment at the end of 7 years would be approximately $190,347.68.

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Both the sample can be used to make inferences about the population.

The correct option is D.

Given

Jason and Yolanda both drew a simple random sample from a non-normally distributed population of 25,000.

Jason’s sample consisted of 0.24% of the population, while Yolanda’s sample consisted of 0.32% of the population.

A percentage is a number or ratio that can be expressed as a fraction of 100.

According to the question

Total number of population = 25000

Percent of a sample of Jason = 0.24%

Percent of the sample of Yolanda's = 0.32%

So, the number of the population according to Jason's sample is given by;

\(=\dfrac{0.24}{100}\times 25000\\\\=0.24 \times 250\\\\=60\)

The number of the population according to Yolanda's sample is given by;

\(=\dfrac{0.32}{100}\times 25000\\\\=0.32 \times 250\\\\=80\)

Hence, Both the sample can be used to make inferences about the population

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The solutions of the quadratic equation are given by x = (29 ± √825) / 4 which are two complex numbers.

What is a quadratic equation?

A quadratic equation is a type of polynomial equation that has the form of ax^2 + bx + c = 0, where x is the variable, and a, b, and c are coefficients. The general form of a quadratic equation is ax^2 + bx + c = 0, where a, b and c are constants. The solutions of a quadratic equation are given by the quadratic formula: x = (-b ± √(b^2-4ac)) / 2a

To solve for x in the equation 2x^2 -19x + 2 = -10x, we need to rearrange it in the standard form of a quadratic equation by isolating the x^2 term and moving the other terms to the other side:

2x^2 -10x -19x +2 = 0

2x^2 -29x +2 = 0

Now we can apply the quadratic formula:

x = (-b ± √(b^2-4ac)) / 2a

x = (-(-29) ± √((-29)^2-422)) / 2*2

x = (29 ± √(841-16)) / 4

x = (29 ± √(825)) / 4

Hence, the solutions of the quadratic equation are given by x = (29 ± √825) / 4 which are two complex numbers.

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Answer:

x = 0.5

Step-by-step explanation:

Answer:

x = \(\frac{1}{2}\)

Step-by-step explanation:

4x + 1 = 3 ( subtract 1 from both sides )

4x = 2 ( divide both sides by 4 )

x = \(\frac{2}{4}\) = \(\frac{1}{2}\)

Answer:

78732

Step-by-step explanation:

The number of bombs that should be dropped to give a 99% chance or better of completely destroying the target can be 11, 12, and 13.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.

The probability of success in one strike is p = 1/2

The probability of failure will be:

q = 1/2 ​

Now, the probability of a successes P( x = a ) = ₙCᵃ ​× ( 1/2​ )ᵃ × ( 1/2 )ⁿ ⁻ ᵃ

P( x = a ) = ₙCᵃ ​ ( 1/2 )ⁿ

According to the given condition,

P( x ≥ 2 ) ≥ 0.99

= 1 − P( x < 2 ) ≥ 0.99

= 1 − P( x = 0 ) − P( x = 1 ) ≥ 0.99

= 1 − 0.99 ≥ ( 1 + n)/2ⁿ ​

= 2ⁿ ≥ 100 + 100n

When n = 10, 2ⁿ < 100 + 100n

For n = 11, 12, 13, 2ⁿ > 100 + 100n

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If lidocaine is injected intra-arterially, it can quickly lead to systemic toxicity. The first signs of toxicity may include circumoral numbness and tongue paresthesia, but these symptoms may be followed by more severe manifestations such as dizziness, seizures, and cardiac arrest.

The systemic effects of lidocaine are dose-dependent, meaning that the higher the dose, the more severe the symptoms.

Lidocaine is a local anesthetic that is commonly used for minor surgical procedures or dental work. It works by blocking the nerve signals that transmit pain to the brain. However, if it is injected into an artery, it can rapidly spread throughout the body and affect other organs, leading to potentially life-threatening complications.

If you suspect that a patient has been injected with lidocaine intra-arterially, it is important to act quickly. The first step is to stop the injection and monitor the patient closely for signs of toxicity. If the patient is experiencing severe symptoms, such as seizures or cardiac arrest, emergency treatment should be initiated immediately. Treatment may include administering medications to counteract the effects of the lidocaine or performing cardio-pulmonary resuscitation (CPR) if necessary.

In conclusion, the first signs of lidocaine toxicity may include circumoral numbness and tongue paresthesia, but more severe symptoms may follow, such as dizziness, seizures, and cardiac arrest. If you suspect that a patient has been injected with lidocaine intra-arterially, it is important to act quickly to prevent potentially life-threatening complications.

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Answer:

(9,5)

Step-by-step explanation:

Answer:

x=-4, y=-1

Step-by-step explanation:

Given the following system of equations, solve the system using elimination.

\(\left \{ {{-2x-y=9} \atop {2x-9y=1}} \right.\)

(1) - Add the equations together

\(\left\begin{array}{ccc}&-2x-y=9\\+&2x-9y=1\end{array}\right\\\\\Longrightarrow -10y=10\\\\\therefore \boxed{y=-1}\)

Notice how the x term was eliminated, hence the name for this method is "elimination."

(2) - Take the value we just found for y and plug it into either of the two equations and solve for x

\(2x-9y=1\\\\\Longrightarrow 2x-9(-1)=1\\\\\Longrightarrow 2x+9=1\\\\\Longrightarrow 2x=-8\\\\\therefore \boxed{x=-4}\)

(3) - Thus, the system is solved. When x=-4, y=-1.

Answer:

quantitative manipulation of the independent variable

The measure of angle x needs to be increased by 200, the new angle would be the original measure of angle x plus 200 degrees.

What is the angle measurement?

A radian is the length of an arc formed by an angle that, when shown as a central angle, equals the length of the circle's radius.

If the measure of angle x needs to be increased by 200, we can simply add 200 to the original measure of angle x to find the new angle.

So, if the original measure of angle x is, for example, 30 degrees, the new angle would be:

New angle = 30 degrees + 200 degrees

New angle = 230 degrees

Therefore, if the measure of angle x needs to be increased by 200, the new angle would be the original measure of angle x plus 200 degrees.

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The total cost with sales tax would be $ 96.30

Answer:

432 km^3

Step-by-step explanation:

The equation to solve this would be: volume = length * width * height

v = l * w * h

v = 6 * 6 * 12

v = 432 km^3

Answer:

432.

Step-by-step explanation:

Volume = length * width * height

= 6 * 6 * 12

= 432 km^3.

That's big!!!

A standard bowling lane is approximately 60 feet long from the foul line to the head pin.

The metric system uses the terms kilometres (km), metres (m), decimeters (dm), centimetres (cm), and millimetres (mm) to describe length or distance.

A standard bowling lane is designed to be 60 feet in length from the foul line to the head pin. This distance is consistent across most bowling alleys and is a key measurement in the sport of bowling.

The 60-foot length is divided into specific sections that contribute to the overall structure of the lane. These sections include the approach area, the foul line, the lane itself, and the pin deck where the pins are set.

The approach area is the section where the bowler stands and prepares to release the ball. It usually spans around 15 feet, providing enough space for the bowler to take a few steps and build momentum before releasing the ball.

The foul line marks the boundary between the approach area and the actual lane. It is important for bowlers to release the ball before crossing the foul line; otherwise, it is considered a foul, and the resulting throw does not count towards the score.

Beyond the foul line is the lane, which is where the ball rolls towards the pins. The lane is typically around 41 to 42 inches wide, made of a specially coated wooden or synthetic surface that allows the ball to roll smoothly.

At the end of the lane is the pin deck, where the pins are arranged in a triangular pattern. The head pin, also known as the 1-pin, is positioned at the front of the triangle. When the ball reaches this area, it interacts with the pins, causing them to scatter or fall, resulting in a score.

Overall, the 60-foot length of a standard bowling lane provides enough distance for bowlers to exhibit skill and strategy in their throws while ensuring a fair and consistent playing field.

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The inequality will be 3(h+8) < 45 and the number of hats that Bill have is less than 7

HATS Bill has h hats

If he buys 8 more hats then the number of hats he has = h + 8

then multiplies his total by 3  then the number of hats he has = 3(h + 8)

Still Bill has fewer hats than Jim, Jim has 45 hats

then the inequality will be 3(h+8) < 45

3(h+8) < 45

3h + 24 < 45

3h < 21

h < 7

Therefore, the inequality will be 3(h+8) < 45 and the number of hats that Bill have is less than 7

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Answer:

42.1 cm

Step-by-step explanation:

The length of the arc is circumference of the circle - length of minor arc GH

circumference of circle = 2 * π * r = 2 * π * 9.1 = 18.2 π cm

The length of the minor arc = angle/360 * 2 * π * r

Now this is tricky, the angle is 360-265 = 95

The length of the minor arc = 95/360 * 2 * π * 9.1 = 4.80 π

Length of major arc = 18.2 π -4.8 π = 13.4 * π = 13.4 * 22/7 = 42.11cm

Answer:

y = 3x + 1

Step-by-step explanation:

Answer:

y = -3x + 12

Step-by-step explanation:

6x + 2y = 24 *subtract 6x from both sides*

2y = -6x + 24 * divide both sides by 2*

y = -3x + 12

The estimate of the impact that a successful preventive program might have can be derived from

attributable risk.

In epidemiology, attributable risk or excess risk is a phrase equivalent with risk difference, which has also been used to express the attributable proportion among the exposed and the population.

Attributed risk assists in determining how much of an outcome is attributable to a certain risk factor (i.e., an estimate of the excess risk) in a population exposed to that factor.

The rate (percentage) of a health result (illness or death) in exposed persons that can be linked to the exposure is known as the attributable risk (AR). Attribitable risk measures how much more common a result is in absolute terms among the exposed than the non-exposed.

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The surface area of a sphere or hemisphere can be found using the formula: Surface Area = 4πr^2, where r is the radius of the sphere or hemisphere.

For a sphere, the circumference of the great circle (the largest circle on the sphere) is equal to the circumference of a circle, which is given by 2πr. This circumference represents the distance around the sphere at its widest point.

the surface area of the sphere, we can use the formula for the surface area of a sphere: Surface Area = 4πr^2. The radius of the sphere is half the diameter, which is equal to the radius of the great circle. Therefore, the surface area can be calculated by substituting 2πr for the circumference into the formula.

By simplifying the formula, we get Surface Area = 4πr^2, which is the formula commonly used to find the surface area of a sphere.

It's important to note that the given information about the circumference of the great circle (2πr) is helpful in understanding the relationship between the circumference and the radius, but it is not directly used in calculating the surface area of the sphere.

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In this problem, we are given a variable resistor R and an 8-Ω resistor in parallel. We are asked to find the rate at which the resistance R is changing when it is equal to 6.0 Ω.

Given that RT = 8R / (8 + R), we can differentiate this equation with respect to time t using the quotient rule. Let's denote dR/dt as the rate of change of R with respect to time. Applying the quotient rule, we have:

dRT/dt = \([ (8)(dR/dt)(8 + R) - (8R)(dR/dt) ] / (8 + R)^2\)

To find the rate at which R is changing when R = 6.0 Ω, we substitute R = 6.0 into the above equation:

dRT/dt = \([ (8)(dR/dt)(8 + 6.0) - (8)(6.0)(dR/dt) ] / (8 + 6.0)^2\)

Simplifying further, we have:

dRT/dt = \([ (8)(dR/dt)(14) - (48)(dR/dt) ] / (14)^2\)

dRT/dt = (112(dR/dt) - 48(dR/dt)) / 196

dRT/dt = 64(dR/dt) / 196

dRT/dt = 16(dR/dt) / 49

Therefore, the rate at which R is changing when R = 6.0 Ω is equal to 16/49 times the rate of change of RT.

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To find the amount of interest you will owe, we need to calculate the interest using the formula:

Interest = Principal * Rate * Time

Where:

- Principal = $777 (the amount you owe)

- Rate = 18% per year (expressed as a decimal, or 0.18)

- Time = 1 year (since you have been making payments for a year)

Plugging in these values, we get:

Interest = $777 * 0.18 * 1

Interest = $139.86

So, the amount of interest you will owe is approximately $139.86.

The expected time between two successive arrivals is 1 unit of time, the standard deviation is also 1 unit of time, P(X ≤ 2) is approximately 0.865, and P(3 ≤ X ≤ 5) is approximately 0.049.

(a) The expected time between two successive arrivals at the drive-up window is equal to the mean of the exponential distribution. In this case, since λ = 1, the mean is given by 1/λ = 1/1 = 1. Therefore, the expected time between two successive arrivals is 1 unit of time.

(b) The standard deviation of the time between successive arrivals in an exponential distribution is equal to the reciprocal of the rate parameter λ. In this case, since λ = 1, the standard deviation is also 1/λ = 1/1 = 1 unit of time.

(c) To calculate P(X ≤ 2), we need to integrate the probability density function (PDF) of the exponential distribution from 0 to 2. For an exponential distribution with rate parameter λ = 1, the PDF is given by f(x) = λ * exp(-λx). Integrating this function from 0 to 2 gives us P(X ≤ 2) = ∫[0 to 2] λ * exp(-λx) dx = 1 - exp(-2) ≈ 0.865.

(d) To calculate P(3 ≤ X ≤ 5), we again integrate the PDF of the exponential distribution, but this time from 3 to 5. Using the same PDF function and integrating from 3 to 5 gives us P(3 ≤ X ≤ 5) = ∫[3 to 5] λ * exp(-λx) dx = exp(-3) - exp(-5) ≈ 0.049.

The expected time between two successive arrivals is 1 unit of time, the standard deviation is also 1 unit of time, P(X ≤ 2) is approximately 0.865, and P(3 ≤ X ≤ 5) is approximately 0.049.

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Answer:

3

Step-by-step explanation:

The Answer would be Option A) No, the lines have unequal slopes.

Its slope would be:

\(m = \dfrac{y-q}{x-p}\)

Slope of parallel lines are same. Slopes of perpendicular lines are negative reciprocal of each other.

Slope of first line,

\(m = \dfrac{y-q}{x-p}\\\\m = \dfrac{4-(-5)}{1-3}\\\\m = \dfrac{9}{-2}\)

Slope of second line,

\(n = \dfrac{y-q}{x-p}\\\\n = \dfrac{-3-1}{3-(-1)}\\\\n = -1\)

Thus, The Answer would be Option A) No, the lines have unequal slopes.

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Answer:

4/5

Step-by-step explanation:

Answer:

Step-by-step explanation:

2    6    12

_ x _ =  _

3    5    15

Simplest form is 4/5

Answer:

2

Step-by-step explanation:

The total number of students who play football is given as 40 in the table. We can find the missing number by subtracting the total number of students who play basketball (38) from the total number of students who play football:

Total number of students who play football - Total number of students who play basketball = Missing number

40 - 38 = 2

Therefore, the missing number in the table is 2.

Answer:

its 40

Step-by-step explanation:

1. the answer above was careless and did not take there time to get the right answer for you I apologize in advance.

2. I Just took the test and got this correct.

3. if you look at the total for both sections on the bottom you can its the the number of the players who did and not play basketball added up. Best of luck to you.

The smallest p-value is always associated with the z-score that is furthest away from the mean. This is because the tails of the normal distribution curve have less area and thus represent smaller p-values. The correct answer is option (d) z = -3.24.

In a hypothesis test, there are two hypotheses: the null hypothesis (H0) and the alternative hypothesis (H1).

The null hypothesis is the one we're testing, while the alternative hypothesis is the one we're trying to support or prove.

A two-tailed alternative hypothesis is one in which we are interested in whether a parameter is not equal to a certain value, as opposed to one-tailed alternative hypotheses, in which we are interested in whether the parameter is greater than or less than a certain value.

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The percent increase in the cost of the uniform from last year to this year is 25%.

To find the percent increase in the cost of the uniform from last year to this year, we need to calculate the difference between the two prices, divide it by the original price, and then multiply by 100 to express the result as a percentage.

The difference between this year's price and last year's price is:

$65 - $52 = $13

The original price (last year's price) is $52.

So the percent increase in the cost of the uniform is:

percent increase = (difference / original price) x 100

percent increase = ($13 / $52) x 100

percent increase = 0.25 x 100

percent increase = 25%

Therefore, the percent increase in the cost of the uniform from last year to this year is 25%.

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Answer:

180°

Step-by-step explanation: