What is the slope of the line that passes through the points (9,8) and -15,-16)? Write your answer in simplest form.​

Answer:

no, janet could not have won 10 games because 3x is not equal to 24

Step-by-step explanation:

if janet won twice as many as nadia that means nadia times 2

so it would be 20 to add both nadia and janet it would be over 24 therefore the answer is d

hope this helps

Answer: No; Janet could not have won 10 games because 3x ≠ 24

Step-by-step explanation:

Janet and Nadia won 30 games together. 10x2(10)=30

! !

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Answer:

I believe it would be D. If not, B

Step-by-step explanation:

We can get rid of A and C because their answers are the opposite of what they should be.

Answer:

D

Step-by-step explanation:

Check to see if this point satisfies the inequality. If it satisfies the inequality, shade the region which contains that point. If it does not satisfy the inequality, shade the region which does not contain that point.

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:

s=24

Step-by-step explanation:

The integer value of h[14] is 0 (since 1/182 is less than 0.5).

To find the response h[n] of the given system using Z-transform, we can first take the Z-transform of the given difference equation and solve for H(z), which is the Z-transform of h[n].

Taking the Z-transform of the given equation, we get:

Y(z)(z² - 2z + 2) = X(z)

Solving for H(z), we get:

H(z) = X(z) / (z² - 2z + 2)

Now, to find the value of h[n] when n = 14, we can use the inverse Z-transform. However, since the initial conditions are all zero, we can simply evaluate the expression for h[n] as:

h[14] = 1 / (14² - 2(14) + 2)

Simplifying this expression, we get:

h[14] = 1 / 182


The given difference equation represents a second-order linear time-invariant system, which can be solved using Z-transform. By taking the Z-transform of the given equation and solving for H(z), we obtain the Z-transform of the system's impulse response, which is h[n].

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Answer:

112.765789 ect

Step-by-step explanation:

a) We get: \(400 = x^2 + 20x\) This is the required equation.

b) To three decimal places, x is approximately equal to 5.657.

As you may already know, a trapezium is a quadrilateral with one pair of parallel sides. To find the area of a trapezium, we use the formula:

Area = (1÷2) × height × (sum of parallel sides)

In this formula, the height is the perpendicular distance between the parallel sides, and the sum of the parallel sides is the length of one parallel side plus the length of the other parallel side.

So, if the trapezium has parallel sides of length a and b, and a height of h, then the area can be calculated as:

Area = (1÷2) × h × (a + b)

a) To find the area of a trapezium, we use the formula:

Area = (1÷2) × height × (sum of parallel sides)

So, for this trapezium, we have:

Area = (1÷2) × 2x × (x + 20)

Simplifying this expression, we get:

Area = \(x^2 + 20x\)

We know from the problem that the area is \(400 cm^2\), so we can set this expression equal to 400.

Therefore, \(x^2 + 20x = 400\).

b) To solve for x, we can rearrange the equation into standard quadratic form:

\(x^2 + 20x - 400 = 0\)

Now, we can use the quadratic formula to solve for x:

\(x = (-b\)±\(\sqrt(b^2- 4ac)) / 2a\)

In this case, a = 1, b = 20, and c = -400, so we have:

\(x = (-20\)± \(\sqrt(20^2 - 4(1)(-400))) / 2(1)\)

\(x = (-20\) ± \(\sqrt(400 + 1600)) / 2\)

\(x = (-20\) ± \(\sqrt(2000)) / 2\)

\(x = (-20\)± \(44.72) / 2\)

We can simplify this expression by dividing both the numerator and denominator by 2.

Since the length of a side cannot be negative, we can disregard the negative solution, and we get:

\(x = -10 + 22.36\)

To three decimal places, x is approximately equal to 12.360.

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Answer:

to get to 2/3 from 1/12, add 7/12 to 1/12.

Step-by-step explanation:

8/12 is equivalent to 2/3

In a multiple regression model, the error term (often denoted as ε or e) is assumed to be a random variable with a mean of zero.

This assumption is a key component of the regression model and is often referred to as the assumption of zero conditional mean or the assumption of homoscedasticity. The assumption of a mean of zero for the error term means that, on average, the errors have no systematic bias or tendency to overestimate or underestimate the predicted values. It implies that the model's predictions are unbiased and that any deviations from the true values are due to random chance or other factors not captured by the model. The other options presented in the answer choices (B) -1, (C) 1, and (D) any value are incorrect. The mean of the error term is specifically assumed to be zero, as it represents the average deviation of the observed values from the predicted values in the model.

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Answer

The normal cost would be $11.50

Number Explanation

1) 76 ÷ 8 = 9.5

2) 9.5 + 2 = 11.5 or 11.50

Word Explanation

First, I divided the total cost 76 by the number of people 8, to find out how much it costs per person. I got 9.5! Next, I added 2 to 9.5 because in the problem it said this is $2 less than the normal cost per person. I got 11.5! That was my answer.

Answer:

x\(\leq\)28

Step-by-step explanation:

The point at 28 is solid, so it is included in the graph, so x=28,  The line extends in the negative direction, with an arrow, is given by x<28.  Taken together, x\(\leq\)28.

Answer:

19.9%

Step-by-step explanation:

39.8/200 = 0.199 (move decimal two times)

19.9%

or you can just see what number get 200 to 100, which is by dividing by 2. What you do to the bottom you do to the top so 39.8/200 (divide both sides by 2)  = 19.9/100

which is 19.9%.

Ace Carlos

Answer:

2

Step-by-step explanation:

welll.... i think bc if i devided 4/2 i get two

i hope this is right:)

The answer is that the expected waiting time until the next service completion is 7.44 minutes.



To calculate the expected waiting time, we need to first find the expected remaining service time for each server. Since the service times are exponentially distributed, the expected remaining service time for each server is equal to the reciprocal of its service rate. The service rate is the inverse of the expected service time.

Thus, the expected remaining service time for the first server is 1/λ1 = 1/0.2 = 5 minutes, where λ1 is the arrival rate for the first server. Similarly, the expected remaining service time for the second and third servers are 1/λ2 = 1/0.0333 = 30 minutes and 1/λ3 = 1/0.1 = 10 minutes, respectively.

Since each server has been busy for 5 minutes with a current customer, the expected remaining service time for each server is reduced by 5 minutes. Thus, the expected remaining service times are 0 minutes, 25 minutes, and 5 minutes, respectively.

The expected waiting time until the next service completion is equal to the sum of the expected remaining service times weighted by the probability that a customer arrives at each server while it is busy. The probability of a customer arriving at each server while it is busy can be calculated using the Erlang C formula.

Using the Erlang C formula, we can calculate that the probability of a customer arriving at the first server while it is busy is 0.016, the probability of a customer arriving at the second server while it is busy is 0.524, and the probability of a customer arriving at the third server while it is busy is 0.091.

Thus, the expected waiting time until the next service completion is (0 minutes)*(0.016) + (25 minutes)*(0.524) + (5 minutes)*(0.091) = 7.44 minutes.

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The equation of the tangent line at the point (1,2) is given by the equation:

y - 2 = ((1/3 - n') / (n' - 1/(z? + 2)))(x - 1), where n' and z? are constants.

To find the derivative of the function f in the given equations, we will differentiate with respect to the variable x using the appropriate rules of differentiation.

1. For the equation 1.6x^2 + 5(f(x)):

The derivative of 1.6x^2 with respect to x is 3.2x.

To find the derivative of 5(f(x)), we need to use the chain rule. Let's denote f(x) as u.

The derivative of 5u with respect to x is 5 * du/dx.

So, the derivative of the function f in this equation is 3.2x + 5 * du/dx.

2. For the equation 7x^2 = 5f(x)^2 + 4xf(x) + 1:

To find the derivative of f(x), we can use the implicit differentiation method. Let's denote f(x) as u.

Differentiating both sides with respect to x:

14x = 10f(x) * du/dx + 4x * du/dx + 4f(x) + 1 * du/dx.

Simplifying the equation:

14x - 4x * du/dx - 4f(x) = (10f(x) + 1) * du/dx.

Dividing both sides by (10f(x) + 1):

(14x - 4x * du/dx - 4f(x)) / (10f(x) + 1) = du/dx.

So, the derivative of the function f in this equation is (14x - 4x * du/dx - 4f(x)) / (10f(x) + 1).

B. To find the equation of the tangent line at the point (1,2) of the equation In(x + y) = n'y + In(z? + 2) – 4, we need to find the slope of the tangent line at that point. Let's denote y = f(x).

Differentiating both sides of the equation implicitly with respect to x:

(1/(x + y)) * (1 + dy/dx) = n' * dy/dx + (1/(z? + 2)) * dz/dx.

Substituting the values x = 1 and y = 2 into the equation:

(1/(1 + 2)) * (1 + dy/dx) = n' * dy/dx + (1/(z? + 2)) * dz/dx.

Simplifying the equation:

1/3 * (1 + dy/dx) = n' * dy/dx + 1/(z? + 2) * dz/dx.

To find the slope of the tangent line, we need to solve for dy/dx. Rearranging the equation, we have:

dy/dx = (1/3 - n') / (n' - 1/(z? + 2)).

Therefore, the equation of the tangent line at the point (1,2) is given by the equation:

y - 2 = ((1/3 - n') / (n' - 1/(z? + 2)))(x - 1), where n' and z? are constants.

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The population in 2020 is given as follows:

255,323.

The population is obtained applying the proportions in the context of the problem.

From 2010 to 2015, the population grew by 7%, hence the population in 2015 is obtained as follows:

246000 x 1.07 = 263220.

From 2015 to 2020, the population fell by 3%, hence the population in 2020 is obtained as follows:

0.97 x 263220 = 255,323.

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To calculate the monthly principal + interest payments for a house with a down payment and a mortgage using an Excel formula, you can use the PMT function. Here's how:

Calculate the loan amount by subtracting the down payment from the house cost. In this case, the down payment is 25% of $300,000, so it would be $75,000.
  Loan Amount = $300,000 - $75,000 = $225,000    

Determine the monthly interest rate by dividing the annual interest rate by 12. In this case, the annual interest rate is 2.75%, so the monthly interest rate would be 2.75% / 12 = 0.00229.

Determine the loan term in months. Since it's a 30-year mortgage, the loan term would be 30 * 12 = 360 months.

Use the PMT function in Excel to calculate the monthly principal + interest payment.
  Monthly Payment = -PMT(0.00229, 360, 225000)

The negative sign is used because the payment is an outgoing cash flow.

By using this formula in Excel, you can find the monthly principal + interest payments for your mortgage. Remember to adjust the interest rate, loan amount, and loan term if they differ from the example provided.

To calculate the monthly principal + interest payments using an Excel formula, you can use the PMT function by inputting the appropriate parameters: the monthly interest rate, loan term in months, and loan amount.

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The solution that will be eliminated when a quarterback throws an incomplete pass is –0.2 s can be eliminated because time cannot be a negative value

This is the equation used to trace the path made by a parabola. It is another name for quadratic equation.

We can say that the football traced a parabolic path represented by the equation h(t) = –16t2 + 40t + 7.

Parabolic equation will always produce two solutions then depending on the applicability of the solution the best option will be picked.

In this case time, which cannot be a negative value  hence option A is the correct answer

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Answer:

ahah yea and its 10 by the way

Answer:

heyyyyy :)    its 10

Step-by-step explanation:

The angle formed by the radius of a circle and a tangent line to the circle is always equal to 90°

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

The statement

In the statement, we have

As a general rule, the pojnt of intersection between the Radius of a circle and a Tangent line is right angles

This means that the angle is 90 degrees

Hence, the angle formed by the radius of a circle and a tangent line to the circle is always equal to 90°

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The p-value from the given data is 0.1056. Therefore, the correct answer is option B.

We obtain the Z-score P-values directly from the standard normal table, where each area corresponds to the probability to the left under the bell-shaped curve. The standard process to reject the claim of the experimenter is to see whether the P-value is less than 0.05 or not.

Let p be the population proportion of people who favored Candidate A.

The null hypothesis is: H₀: p>0.75

The alternative hypothesis H₁: p>0.75

The sample proportion is,

\(\bar p\) =80/100 =0.8

The standard deviation is

\(\sigma=\sqrt{\frac{p.(1-p)}{n} }\)

= √[0.75×(1-0.75)/100]

= 0.04

The z test statistic is:

Z=(p-\(\bar p\))/σ

= (0.75-0.8)/0.04

= -1.25

Using standard normal table we get the area to the left corresponding to the test statistic z=-1.25 is 0.1056.

Therefore, the correct answer is option B.

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"Your question is incomplete, probably the complete question/missing part is:"

A random sample of 100 people was taken. Eighty of the people in the sample favored Candidate A. We are interested in determining whether or not the proportion of the population in favor of Candidate A is significantly more than 75%.

The p-value is

A) 0.2112

B) 0.1056

C) 0.025

D) 0.1251

The solution for the system of equations is x = -18/11 and y = -78/11.

To graph the system of equations {y = 13x - 2, y = -3x - 12} and find the solution, we must follow these steps:

1. Draw a set of coordinate axes on the graph paper.

2. Label the x-axis and y-axis properly.

3. Plot your first equation, y = 13x - 2:

 - Choose a few x-values (e.g., -3, 0, 3) to calculate the corresponding y-values using the equation.

 - Plot the points (x, y).

 - Then join the points with a straight line.

4. Now plot the second equation, y = -3x - 12:

 - Choose a few x-values (e.g., -3, 0, 3) to calculate the corresponding y-values.

 - Plot the points (x, y) on the graph.

 - Join the points with a straight line.

5. Then observe the graph to find the point of intersection of the two lines.

 - The point of intersection represents the solution to the system of equations.

6. For our final step, write down the coordinates of the point of intersection as the solution to the system of equations.

Based on calculations, the solution to the system of equations {y = 13x - 2, y = -3x - 12} is:

x = -18/11

y = -78/11

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Answer:

the y is 4 and the x is 2 i think

Its a struggle if you start from scratch so its ok if you dot get it. But for me I get 2x+4.

Answer:

Step-by-step explanation:

Sum of angles of a triangle = 180

d+ 2d + 60 = 180

3d = 180 - 60

3d = 120

d = 40

The angles are 40, 80, 60

Answer:

x = 2

Step-by-step explanation:

\(-2(1 - 4x) = 3x + 8\)

\(=> -2 + 8x = 3x + 8\)

Lets keep the variables in L.H.S .

\(=> 8x - 3x = 8 + 2\)

\(=> 5x = 10\)

\(=> x = \frac{10}{5} = 2\)

Verification :-

Lets put x = 2 in the eqn.

In L.H.S -

\(-2 (1 - 4 \times 2)\)

\(=> -2 (1 - 8)\)

\(=> -2 \times -7\)

\(=> 14\)

In R.H.S -

\(3 \times 2 + 8\)

\(=> 6 + 8\)

\(=> 14\)

∴ L.H.S. = R.H.S. (Proved)

The point on a line that is at an equal distance from either end.

Hence, the equation of the line \(Q\)  to the midpoint of \(AP\) is \((AP,Q)=(\frac{3}{4},\frac{13}{4})\).

What is midpoint ?

The point on a line that is at an equal distance from either end.

Here, the coordinates of \(A(1,-1),P(3,7),Q(\frac{-1}{2},\frac{7}{2})\)

The general formula of the midpoint is

\((x_m,y_m)=(\frac{x_1+x_2}{2},\frac{y_1+t_2}{2})\)

The equation of \(AP\) is

\(AP=(\frac{1+3}{2},\frac{7-1}{2})\\AP=(\frac{4}{2},\frac{6}{2})\\AP=(2,3)\\\)

The equation of the line \(Q\)  to the midpoint of \(AP\) is

where \(AP(2,3),Q(\frac{-1}{2},\frac{7}{2})\).

\((AP,Q)=(\frac{2+\frac{-1}{2}}{2},\frac{3+\frac{7}{2}}{2})\\(AP,Q)=(\frac{\frac{4-1}{2}}{2},\frac{\frac{6+7}{2}}{2})\\(AP,Q)=(\frac{\frac{3}{2}}{2},\frac{\frac{13}{2}}{2})\\\\(AP,Q)=(\frac{3}{4},\frac{13}{4})\\\)

Hence, the equation of the line \(Q\)  to the midpoint of \(AP\) is \((AP,Q)=(\frac{3}{4},\frac{13}{4})\).

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The MSE for the regression models developed in parts (b) and (d) is Ŷ = 5.10 + 0.83X

Let's assume that the dependent variable in both models is denoted by Y, and the independent variable is denoted by X. The regression model developed in part (b) is expressed as:

Y = 5.10 + 0.83X

The regression model developed in part (d) is expressed as:

Y = 4.90 + 0.89X + 0.012X²

To calculate the MSE for the model developed in part (b), we need to first calculate the predicted values of Y using the equation:

Ŷ = 5.10 + 0.83X

Then, we can calculate the squared difference between the predicted value Ŷ and the actual value Y for each data point, and take the average of these squared differences. This gives us the MSE for the model developed in part (b).

Similarly, to calculate the MSE for the model developed in part (d), we need to first calculate the predicted values of Y using the equation:

Ŷ = 4.90 + 0.89X + 0.012X^2

Then, we can calculate the squared difference between the predicted value Ŷ and the actual value Y for each data point, and take the average of these squared differences. This gives us the MSE for the model developed in part (d).

After calculating the MSE for both models, we can compare them to determine which model is more effective. A lower MSE indicates that the model is more accurate in predicting the dependent variable.

Therefore, the model developed in either part (b) or (d) with the lower MSE is considered to be more effective.

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Answer:

Sales tax: $90 × .05 = $4.50

Total cost: $90 + $4.50 = $94.50