add (4x^2-xy-y^2) and (x^2+5xy+8y^2) simplify your answer:

Answer:

The answer is - 5

Step-by-step explanation:

3+-8=-5

Answer:

-5

Step-by-step explanation: because i know that answer hope i helped!

The model is a good fit because the data are randomly distributed above and below the x-axis.

In Mathematics, a residual value can be defined as a difference between the measured (given or observed) value from a residual plot (scatter plot) and the predicted value from a residual plot (scatter plot).

Generally speaking, the independent variable (fitted values) are generally plotted on the x-axis of a residual plot (scatter plot) while the residual value is plotted on y-axis of a residual plot (scatter plot).

Additionally, a line of best fit simply refers to a trend line on a residual plot (scatter plot) and the given model represents a good fit because the data set are randomly distributed below and above the x-axis.

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Since none of the 13 classmates had been given math homework between the original survey and Kelly's second survey, the sum of the values in the second data set is the same as the sum of the values in the original data set. Therefore, the change in the means can be determined without calculating the mean of either data set by considering the number of data points in each set.

Since both data sets have the same number of data points, the change in the means will be zero. This is because the mean is calculated by dividing the sum of the values by the number of data points, and since the sum of the values is the same in both data sets, the means will also be the same.

In other words, the change in the mean is calculated as follows:

Change in mean = Mean of second data set - Mean of first data set

Since none of the values in the second data set have changed, the mean of the second data set is the same as the mean of the first data set. Therefore, the change in the mean is:

Change in mean = Mean of second data set - Mean of first data set

= Mean of first data set - Mean of first data set

= 0

Thus, the change in the means between Kelly's original survey and her second survey is zero.

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Answer:

1,3,6,12

0.20, 0.30,0.30,0.40

Step-by-step explanation:

The answer is: A) seasonal variations, Seasonal variations in time-series data refer to regularly repeating upward or downward movements tied to recurring events. hese patterns occur over fixed periods, such as daily, weekly, monthly, or yearly cycles.

In time-series data, seasonal variations are regularly repeating upward or downward movements in series values that can be tied to recurring events.

These variations occur over a fixed period, such as daily, weekly, monthly, or yearly cycles. Seasonal variations can be observed in various phenomena, including sales data, weather patterns, and economic indicators.

By identifying and analyzing seasonal variations, patterns and trends can be detected, helping to make predictions and informed decisions.

Seasonal variations are commonly represented using seasonal indices or seasonal adjustment techniques to remove the effects of seasonality and better understand the underlying trends in the data.

Understanding and accounting for seasonal variations are crucial for accurate forecasting and decision-making in various fields.

Hence, the correct option is (A) seasonal variations.

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rise over run (slope) is - 2/1 which also = 2. Negative bc going down.

y int is 5

answer is C

Answer: I believe your x-intercept is (-7,0) and your y-intercept is (0,2)

Step-by-step explanation: I hope this helps! (It's kind of sad how this is the only bit of math I'm good at)

Let's use the furthest left point on the triangle to figure out the translation.

Blue triangle = (-5,1)

Black triangle = (-3,-1)

To get from -5 to -3 we moved the triangle 2 units to the right, which means that we added 2.

To get from 1 to -1, we moved the triangle 2 units down, which means we subtracted 2.

Rule: {2, -2}

Hope this helps!

The probability that X is between 134.4 and 140.1 is approximately 0.4076, which is closest to the option 0.4069.

To calculate this probability, we need to standardize the values using the standard normal distribution. First, we find the z-scores for the lower and upper bounds:

z1 = (134.4 - 137.0) / 5.3 ≈ -0.4906

z2 = (140.1 - 137.0) / 5.3 ≈ 0.5849

Next, we use a standard normal distribution table or a calculator to find the probabilities associated with these z-scores. The probability corresponding to z1 is P(Z < -0.4906) ≈ 0.3131, and the probability corresponding to z2 is P(Z < 0.5849) ≈ 0.7207.

To find the probability that X is between 134.4 and 140.1, we subtract the probability associated with the lower bound from the probability associated with the upper bound:

P(134.4 < X < 140.1) = P(Z < 0.5849) - P(Z < -0.4906) ≈ 0.7207 - 0.3131 = 0.4076.

As a result, the chance that X lies between 134.4 and 140.1 is roughly 0.4076, which is closest to the value of 0.4069 for the option.

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Answer:

5040

Step-by-step explanation:

an illustration of permutations

The given parameter is:

number of days

dinners for 7 days

Substitute known values

Answer:

see below

Step-by-step explanation:

There are 52 cards in the deck

4 kings

P(king) = king/total = 4/52 = 1/13

replacement

52 cards , 4 queens

P(queen) = queen/total = 4/52 = 1/13

P(king, replacement, queen) = 1/13 * 1/13 =1/169

There are 52 cards in the deck

4 kings

P(king) = king/total = 4/52 = 1/13

no replacement

51 cards , 4 queens

P(queen) = queen/total = 4/51 =4/51

P(king,  no replacement, queen) = 1/13 * 4/51 =4/663

Answer: 15 - 6i

Step-by-step explanation:

3(5-2i)

3×5+3×(−2i)

Do the multiplications.

15−6i

Answer:

1/8

Step-by-step explanation:

144 ÷ 18 = 8

so, it 1/8

The following differential equations with a solution
y" + y = 0 corresponds to solution A: y = cos(2)

y" + y' + 28y = 0 corresponds to solution B: y = e^(-4x)

y" + 11y' + 28y = 0 corresponds to solution C: y = e^(7x)

2x^2y" + 3xy' = y corresponds to solution D: y = x^(1/2)

1. y" + y = 0:

This is a second-order homogeneous differential equation with constant coefficients. The characteristic equation is r^2 + 1 = 0, which has complex roots r = ±i. The general solution is therefore a linear combination of sine and cosine functions:

y = c1 cos(x) + c2 sin(x)

Using the initial condition y(0) = 1, we can solve for the constants to get:

y = cos(x)

2. y" + y' + 28y = 0:

This is a second-order homogeneous differential equation with constant coefficients. The characteristic equation is r^2 + r + 28 = 0, which has complex roots given by the quadratic formula:

r = (-1 ± sqrt(1 - 4*28)) / 2 = (-1 ± 7i) / 2

The general solution is therefore a linear combination of exponential and sine/cosine functions:

y = e^(-x/2) (c1 cos(7x/2) + c2 sin(7x/2))

Using the initial condition y(0) = 1, we can solve for the constants to get:

y = e^(-4x)

3. y" + 11y' + 28y = 0:

The characteristic equation is r^2 + 11r + 28 = 0, which can be factored as (r + 4)(r + 7) = 0. The roots are r = -4 and r = -7. Therefore, the general solution is a linear combination of exponential functions:

y = c1 e^(-4x) + c2 e^(-7x)

Using the initial condition y(0) = 1, we can solve for the constants to get:

y = e^(7x)

4. 2x^2y" + 3xy' = y:

Dividing both sides by x^2 and letting z = y/x^(1/2). Then, we get:

z' + (1/4x)z = 0

This is a first-order homogeneous differential equation with an integrating factor of e^(1/4 ln x) = x^(1/4). Multiplying both sides by the integrating factor, we get:

x^(1/4) z' + (1/4)x^(-3/4)z = 0

The left-hand side is the derivative of (x^(1/4) z), so we can integrate both sides to get:

x^(1/4) z = c1

Solving for z, we get:

z =c1/x^(1/4)

Substituting back for y, we get:

y = x^(1/2) z = c1 x^(1/4)

Using the initial condition y(1) = 1, we can solve for the constant to get:

y = x^(1/2)

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Answer: So if you have an angle that is 20 degrees, then the complement angle measures 70 degrees.

Answer:

70 degrees

Step-by-step explanation:

Yes, the equation c^(-1)(ax)b^(-1) = in has a solution for x.

Given that a, b, and c are n×n invertible matrices, we want to find a solution to the equation c^(-1)(ax)b^(-1) = in, where in represents the n×n identity matrix.

To find the solution, we can start by multiplying both sides of the equation by c and b:

c^(-1)(ax)b^(-1) = in

c^(-1)(ax)b^(-1)cb = inc

(ax)(bb^(-1)) = inc

Since bb^(-1) is equal to the identity matrix (since b is invertible), we can simplify the equation further:

(ax)(bb^(-1)) = inc

(ax)i = inc

ax = inc

Now, we can multiply both sides of the equation by a^(-1) (the inverse of matrix a):

a^(-1)(ax) = a^(-1)(inc)

x = a^(-1)(inc)

Therefore, the solution for x is x = a^(-1)(inc).

This solution exists because a, b, and c are assumed to be invertible matrices, meaning that their inverses exist. The inverse of an invertible matrix allows us to solve the equation and find the value of x.

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Answer:

Step-by-step explanation:

it has 14 sides

360/14= 25.714

rounding to the nearest tenth we get:

25.7

Answer:

C

Step-by-step explanation:

Answer:

Acceleration goes to a change in velocity

Given:

The coordinates of line are, (-3,2) and (1,10).

The objective is to choose the correct equation of line.

Explanation:

Consider the given coordinates as,

The general formula to find the equation of line using two points is,

On plugging the coordinates in the above equation.

Thus, the equation of the line obtained is y - 10 = 2(x - 1).

Hence, option (A) is the correct answer.

For the transformation of parent function f(x)=|x| to the  g(x)=|x|+4, the transformation occurred is 4 units upward.

The function transformation / translation principles are as follows: f (x) + b raises the function b units.

The given parent function is; f(x)=|x|

The transformed function is; g(x)=|x|+4

Thus, from the 1st rule of the transformation we can say that the function has shifted 4 units to upward.

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If both are complementary then their sum will be 90°

\(\\ \sf\longmapsto m<A+m<B=90\)

\(\\ \sf\longmapsto 2x-10+x-2=90\)

\(\\ \sf\longmapsto 2x+x-10-2=90\)

\(\\ \sf\longmapsto 3x-12=90\)

\(\\ \sf\longmapsto 3x=90+12\)

\(\\ \sf\longmapsto 3x=102\)

\(\\ \sf\longmapsto x=\dfrac{102}{3}\)

\(\\ \sf\longmapsto x=34\)

Now

\(\\ \sf\longmapsto <A=2x-10=2(34)-10=68-10=58\)

The sum of the first 10 terms of the sequence -5, 15, 45, 135 is 295240.

We can use the following formula to determine the sum of a geometric sequence:

S = a(1 - r^n) / (1 - r) (1 - r)

where an is the first term, r is the common ratio, and n is the total number of terms, S is the sum of the sequence.

We can see that the first term in the series -5, 15, 45, 135 is -5, and the common ratio is 3. (since each term is obtained by multiplying the previous term by 3). The series contains 4 terms, hence n is equal to 4. Adding these values to the formula yields the following results:

S = -5(1 - 3^4) / (1 - 3) (1 - 3)

S = -5(1 - 81) / (-2) (-2)

S = 5(80) (80)

S = 400

The total of the numbers 5, 15, 45, and 135 equals 400.

We may once more use the following formula to determine the sum of the first 10 entries in the same sequence:

S = a(1 - r^n) / (1 - r) (1 - r)

Instead, we will use a = -5, r = 3, and n = 10 this time. By replacing these values, we obtain:

S = -5(1 - 3^10) / (1 - 3) (1 - 3)

S = -5(1 - 59049) / (-2) (-2)

S = 5(59048) (59048)

S = 295240

The result is 295240 for the first 10 terms in the series, which are -5, 15, 45, and 135.

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If you want to test if college students take less than five years to graduate from college, the null hypothesis would be that the mean time it takes for college students to graduate is equal to or greater than five years (μ ≥ 5). The alternative hypothesis would be that the mean time it takes for college students to graduate is less than five years (μ < 5).

This hypothesis test would need to be conducted using a one-tailed t-test with a significance level of α = 0.05. The t-statistic would be calculated using the sample mean, sample standard deviation, sample size, and the hypothesized population mean of five years. If the calculated t-statistic is less than the critical t-value, then we would reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that college students take less than five years to graduate from college. To test if college students take less than five years to graduate from college, we would use a hypothesis test. A hypothesis test is a statistical test used to determine whether there is enough evidence in a sample of data to infer that a certain condition is true for the entire population. In this case, the condition we want to test is whether the mean time it takes for college students to graduate is less than five years.

The null hypothesis for this test would be that the mean time it takes for college students to graduate is equal to or greater than five years (μ ≥ 5). The alternative hypothesis would be that the mean time it takes for college students to graduate is less than five years (μ < 5).We would use a one-tailed t-test to conduct this hypothesis test, since we are interested in whether the mean time it takes for college students to graduate is less than five years. We would use a significance level of α = 0.05, which means that we are willing to accept a 5% chance of making a type I error (rejecting the null hypothesis when it is actually true).The t-statistic would be calculated using the sample mean, sample standard deviation, sample size, and the hypothesized population mean of five years. If the calculated t-statistic is less than the critical t-value (which can be found using a t-table or a t-distribution calculator), then we would reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that college students take less than five years to graduate from college.

Thus to test if college students take less than five years to graduate from college, we would use a one-tailed t-test with a significance level of α = 0.05. The null hypothesis would be that the mean time it takes for college students to graduate is equal to or greater than five years (μ ≥ 5), and the alternative hypothesis would be that the mean time it takes for college students to graduate is less than five years (μ < 5). We would calculate the t-statistic using the sample mean, sample standard deviation, sample size, and the hypothesized population mean of five years, and if the calculated t-statistic is less than the critical t-value, we would reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis.

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Answer:

The answer is below

Step-by-step explanation:

At Lidal shop, 4 toilet rolls is sold for £2.40. Therefore the cost of each toilet roll is given as:

Cost of each roll at Lidal = £2.40 / 4 = £0.60 per roll

Cost of 36 rolls = cost for each roll * 36 rolls = £0.60 per roll * 36 rolls = £21.6

At Oldi shop, 9 toilet rolls is sold for £4.68. Therefore the cost of each toilet roll is given as:

Cost of each roll at Oldi = £4.68 / 9 = £0.52 per roll

Cost of 36 rolls = cost for each roll * 36 rolls = £0.52 per roll * 36 rolls = £18.72

Given, Two vertical poles of length 6 feet and 8 feet, respectively, stand 10 feet apart.

A cable reaches from the top of one pole to some point on the ground between the poles and then to the top of the other pole. We need to express the amount of cable used, f, as a function of the distance from the 6-foot pole to the point where the cable touches the ground, x.

[asy]
size(200);
draw((0,0)--(8,0)--(8,10)--(0,6)--cycle);
draw((0,6)--(8,8));
label("$6$",(0,0)--(0,6),W);
label("$8$",(8,0)--(8,8),E);
label("$x$",(0,0)--(0,6),NW);
label("$10-x$",(0,6)--(0,10),W);
label("$y$",(8,0)--(8,8),NE);
label("$10$",(0,0)--(8,0),S);
[/asy]

Let the height of the point where the cable touches the ground be y. Then the distance from the 6-foot pole to the point where the cable touches the ground, x = 10 - y.

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Answer: 3rd answer choice

Step-by-step explanation:

Answer: 4th answer choice

Step-by-step explanation:

Answer:

110

Step-by-step explanation:

54+14=68+14=82+14=96+14=110

adding 14

In order to get seconds as the result, the value of x will be days in order for them to cancel.

In converting day to seconds, we need to move from day to hour, hour to minutes and minutes to seconds,

Given the expressions

seconds + seconds/x * days = seconds

In order to get seconds as the result, the value of x will be days in order for them to cancel.

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Answer:

Assuming that you are listing the length of each side of the figure, we can add the values together.  The perimeter is 16 cm.

Step-by-step explanation:

6+2+2+6=16 cm

In each scenario, the choice between mean and median as a representative measure of central tendency depends on the nature of the data and the specific context..

1. Scenario: Income distribution of a population

- If the income distribution is skewed or contains extreme values (outliers), the median would be a better representation of the central tendency. This is because the median is not influenced by outliers and provides a more robust estimate of the "typical" income level. However, if the income distribution is approximately symmetric without outliers, the mean can also be an appropriate measure.

2. Scenario: Exam scores in a class

- If the exam scores are normally distributed without significant outliers, the mean would be a suitable measure as it takes into account the value of each score. However, if there are extreme scores that deviate from the majority of the data, the median may be a better representation. This is especially true if the outliers are indicative of errors or exceptional circumstances.

3. Scenario: Housing prices in a city

- In this case, the median would be a more appropriate measure to represent the central tendency of housing prices. This is because the housing market often exhibits a skewed distribution with a few high-priced properties (outliers). The median, being the middle value when the data is sorted, is not influenced by these extreme values and provides a better understanding of the typical housing price in the city.

Ultimately, the choice between mean and median depends on the specific characteristics of the data and the objective of the analysis. It is important to consider the distribution, presence of outliers, and the context in which the data is being interpreted.

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