segment AB is dilated from the origin to create segment A prime B prime at A' (0, 6) and B' (6, 9). What scale factor was segment AB dilated by?


1/2

2

3

4

Answer: 14/8 or 1 and 3/4 of a gallon

Step-by-step explanation: Since its leaking 7/8 every half hour, you would multiple 7/8 by two

Answer:

Step-by-step explanation:

Based on the information provided, the residual plot makes sense based on the scatter plot.

In the given scatter plot, the points are plotted with horsepower on the x-axis and observed MPG (miles per gallon) on the y-axis. The scatter plot shows the relationship between horsepower and MPG for the motorcycles.

The residual plot, on the other hand, shows the differences between the observed MPG values and the predicted MPG values based on the regression line or model. Residuals represent the vertical distances between the observed data points and the regression line.

Looking at the residual plot, we can see that the residuals are scattered randomly around the zero line. Some residuals are positive, while others are negative, indicating that the observed MPG values deviate both above and below the predicted MPG values.

Given this information, option A is the correct answer: "The random residual plot makes sense because the scatter plot appears to have a linear relationship." The scatter plot does not necessarily suggest a positive or negative relationship between horsepower and MPG. It simply shows the general trend or pattern. The random distribution of residuals in the residual plot indicates that the regression model is capturing the relationship adequately, and the variations or deviations from the regression line are random, which is expected in a good regression model.

The residual plot created by Jorge does make sense as it reflects the negative relationship between horsepower and miles per gallon present in the original scatter plot. As the horsepower increases, the miles per gallon decreases which is depicted accurately in the residual plot made.

The best answer for this is B. The random residual plot makes sense because the scatter plot appears to have a negative relationship. A residual plot is a graph that is used to examine the goodness of fit in regression and ANOVA analysis. It is the differences between the observed and predicted values of data. The points in a residual plot are randomly dispersed around a horizontal axis if the corresponding regression model is appropriate for the data.

In this case, the scatter plot demonstrates a negative relationship between the horsepower of motorcycles and miles per gallon. As the horsepower increases, the miles per gallon decrease. This negative relationship is reflected in the pattern of residuals, which fluctuates around the zero line on the y-axis of the residual plot. Consequently, the random distribution of residuals on Jorge's plot does make sense given the scatter plot data.

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It will take 88 hours to fill the order if the number of machines is; deceased by a factor of 4.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

Given that Six machines working simultaneously can complete a big order in 22 hours.

Since we are decreasing the number of machines by a factor of four and all the machines work at the same rate, then we simply going to increase the work hours by a factor of 4.

Therefore Increasing the work hours by a factor of 4 will

22 x 4 = 88 hours

Hence it will take 88 hours to fill the order if the number of machines is deceased by a factor of 4.

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Answer:

44

Step-by-step explanation:

guys lat asnwer was correct too but she just did 4 instead of 2 so just divided her answer by 2 which sums up to 44

The rate (in km/h) at which the distance from the plane to the radar station is increasing a minute later is 0 km/h (rounded to the nearest whole number).

To solve this problem, we can use the concepts of trigonometry and related rates.

Let's denote the distance from the plane to the radar station as D(t), where t represents time. We want to find the rate at which D is changing with respect to time (dD/dt) one minute later.

Given:

The plane is flying with a constant speed of 360 km/h.

The plane passes over the radar station at an altitude of 1 km.

The plane is climbing at an angle of 30°.

We can visualize the situation as a right triangle, with the ground radar station at one vertex, the plane at another vertex, and the distance between them (D) as the hypotenuse. The altitude of the plane forms a vertical side, and the horizontal distance between the plane and the radar station forms the other side.

We can use the trigonometric relationship of sine to relate the altitude, angle, and hypotenuse:

sin(30°) = 1/D.

To find dD/dt, we can differentiate both sides of this equation with respect to time:

cos(30°) * d(30°)/dt = -1/D^2 * dD/dt.

Since the plane is flying with a constant speed, the rate of change of the angle (d(30°)/dt) is zero. Thus, the equation simplifies to:

cos(30°) * 0 = -1/D^2 * dD/dt.

We can substitute the known values:

cos(30°) = √3/2,

D = 1 km.

Therefore, we have:

√3/2 * 0 = -1/(1^2) * dD/dt.

Simplifying further:

0 = -1 * dD/dt.

This implies that the rate at which the distance from the plane to the radar station is changing is zero. In other words, the distance remains constant.

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Answer: A

hope this helped

Answer:

Step-by-step explanation:

3. \(\frac{-4-4}{-2-3} =\frac{-8}{-5} =\frac{8}{5}\)

4.\(\frac{5-(-3)}{2-(-2)} =\frac{8}{4} =2\)

Answer:

3. 1.6 and 4. 2

Step-by-step explanation:

3. m = (y2-y1)/(x1-x2)

m = ( 4-(-4))/(3-(-2))

m = 8/5= 1.6

4. m = (-3-5)/(-2-2)

m = -8/-4

m = 2

Answer:

B : 850

Step-by-step explanation:

Answer:

825

Step-by-step explanation:

Assuming that 55 people will be entering every 2 minutes, You have to divide 30 by two. Giving you 15. Then, you will need to multiply 15 by 55, giving you 825.

The total amount the man had = 52,200 rupees. Out of this, he gave 21,750 rupees to his son, 13,050 rupees to his daughter, and 17,400 rupees to his wife , the total amount given away by the man = 21,750 + 13,050 + 17,400 = 52,200 rupees.

A man gave 5/12 of his money to his son, 3/7 of the remainder to his daughter, and the remaining to his wife. If his wife gets Rs. 8,700, what is the total amount?

The given problem can be solved using the concept of ratios and fractions. Let us solve the problem step-by-step.Assume the man had x rupees with him.The man gave 5/12 of his money to his son.

The remaining amount left with the man = x - 5x/12= (12x/12) - (5x/12) = (7x/12)The man gave 3/7 of the remainder to his daughter.'

Amount left with the man after giving it to his son = (7x/12)The amount given to the daughter = (3/7) x (7x/12)= (3x/4)The remaining amount left with the man = (7x/12) - (3x/4)= (7x/12) - (9x/12) = - (2x/12) = - (x/6) (As the man has given more money than what he had with him).

Therefore, the daughter's amount is (3x/4) and the remaining amount left with the man is (x/6).The man gave all the remaining amount to his wife.

Therefore, the amount given to the wife is (x/6) = 8700Let us find the value of x.x/6 = 8700 x = 6 x 8700 = 52,200

Therefore, the man had 52,200 rupees with him.He gave 5/12 of his money to his son. Therefore, the amount given to his son is (5/12) x 52,200 = 21,750 rupees.

The remaining amount left with the man = (7/12) x 52,200 = 30,450 rupees.He gave 3/7 of the remainder to his daughter. Therefore, the amount given to his daughter is (3/7) x 30,450 = 13,050 rupees.

The amount left with the man = (4/7) x 30,450 = 17,400 rupees.The man gave 17,400 rupees to his wife.
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Answer:

x = 145

Step-by-step explanation:

If we look at the right triangle with sides of 24 and 30, we can find the missing leg using the Pythagorean Theorem. If we look carefully, we notice that 18:24:30 is basically the 3:4:5 Pythagorean Triple multiplied by 6, so the missing side is 18. If we look at the right triangle with sides of x and 24, we can find the missing side by calculating 161 - 18 = 143. Using the Pythagorean Theorem, we know that 143² + 24² = x² so x = 145.

69.12ft

11x2 = 22

C= pi x d

= pi x 22

= 22pi

Or

69.11503838

Hope this helps!

Answer:

C. Karen decided to rest and stopped running for an hour

Step-by-step explanation:

The line of the graph shows a horizontal line between hours 2 and 3 with a corresponding distance that remains the same on the y-axis. This simply means that, only the hours change but distance didn't change. Therefore, it can be concluded that after for 1 hour, Karen decided to stop over and rest.

Answer:

the answer is C

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

19-44=25

45-64=19 25+19=44 44-64=20

Answer:

It depends is w is a negative or positive number

Step-by-step explanation:

5w could = 5 x 4 = 20 this is greater than -20

5w could = 5 x -4 = -20 this is equal to -20

hope this helps...

Answer:

Step-by-step explanation:

Check the diagram in the attachment. Using sin rule to get the length of i.

According to the rule \(\frac{g}{sinG} = \frac{h}{sinH} = \frac{i}{sinI}\\\)

Given h = 300 inches, ∠G=30° and ∠H=29°; we can use the relationship below to get length of i;

\(\frac{h}{sinH} = \frac{i}{sinI}\\\)... 1

Since sum of angle in a triangle is 180°, then ∠G+∠H+∠I = 180°

30°+29°+∠I = 180°

∠I = 180°-(30°+29°)

∠I = 180°-59°

∠I = 121°

Applying equation 1;

\(\frac{300}{sin29^{0} } = \frac{i}{sin121^{0} }\\\\300sin121^{0} = iSin29^{0}\\ i = \frac{300sin121^{0}}{Sin29^{0}} \\i = \frac{257.15}{0.4848} \\i = 530.425inches\\\)

i ≈ 530 inches (to the nearest inch)

Answer:

4.5

Step-by-step explanation:

This will be an easy explanation, but it will take time.

____________________________________________________________

Remember to use the PEMDAS operation.  

P- Paran.

E- Expo.

M- Multi.

D- Dib.

A- Add

S- Sub.

__________________________________________________________

If it wants a numerical expression, round to the nearest whole number.

Answer:

495

Step-by-step explanation:

using the definition

n\(C_{r}\) = \(\frac{n!}{r!(n-r)!}\)

where n! = n(n - 1)(n - 2) ... × 3 × 2 × 1

then

12\(C_{4}\)

= \(\frac{12!}{4!(12-4)!}\)

= \(\frac{12!}{4!(8!)}\)

cancel 8! on numerator/ denominator

= \(\frac{12(11)(10)(9)}{4!}\)

= \(\frac{11880}{4(3)(2)(1)}\)

= \(\frac{11880}{24}\)

= 495

We have shown that for any eigenvalue λ of A, 1-λ is an eigenvalue of -A. So, the eigenvalues of -A are 1-λ1, 1-λ2, ..., 1-λn, where λ1, λ2, ..., λn are the eigenvalues of A.

Eigenvalues are scalar values that are associated with a linear transformation of a matrix and are used to represent the behavior of a linear system. They represent the factor by which a linear transformation scales the direction of a vector. Eigenvalues play an important role in many areas of mathematics, including linear algebra, physics, engineering, and statistics. If a matrix A has an eigenvector x and an eigenvalue λ, then A can be represented as a scalar multiplication of x by λ: A x = λ x. The eigenvalues of a matrix can be used to determine its stability, to find the diagonalization of the matrix, and to determine the eigenvectors that represent the most important directions of a linear transformation.

The eigenvalues of a matrix A are scalars that satisfy the equation Av = λv, where v is a non-zero eigenvector and λ is the corresponding eigenvalue. If λ is an eigenvalue of A, then 1-λ is an eigenvalue of -A.

To see why this is true, let's consider an eigenvector v of A with eigenvalue λ. Then, Av = λv. We can multiply both sides of this equation by -1 to obtain:

-Av = -λv

Now, we can substitute -A for A and 1-λ for λ:

(-A)v = (1-λ)v

Thus, we have shown that for any eigenvalue λ of A, 1-λ is an eigenvalue of -A. So, the eigenvalues of -A are 1-λ1, 1-λ2, ..., 1-λn, where λ1, λ2, ..., λn are the eigenvalues of A.

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Step-by-step explanation:

first we need to identify the lines themselves.

the line from bottom left to top right is simply

y = x

the line is solid, so the points on the line are included.

the dotted line (the points on the line itself are not included) goes through

(0, 2) and (3, 0)

the y-intercept is therefore 2 (the y value when x = 0).

and for the slope

x changes by +3 (from 0 to 3).

y changes by -2 (from 2 to 0).

the slope is -2/+3 = -2/3

and the line is

y = (-2/3)x + 2

we see that the desired gray area is above both lines (">"), and we need to consider, whether the points in the lines are included or not.

so, the system of inequalities is

y >= x

y > (-2/3)x + 2

Answer:

its a geometric progression. r=1/5 or 0.2

The solution to the inequality 1 + 3r > 10 is r > 3.

This means that any value of r greater than 3 will satisfy the inequality.

To solve the inequality 1 + 3r > 10, we need to isolate the variable r on one side of the inequality sign.

Let's begin by subtracting 1 from both sides of the inequality:

1 + 3r - 1 > 10 - 1

This simplifies to:

3r > 9

Next, we can divide both sides of the inequality by 3 to solve for r:

(3r)/3 > 9/3

This simplifies to:

r > 3

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Answer:

We are trying to calculate the area of the park by modeling it with shapes. To start, the larger rectangle (green) toward the top is the easiest to calculate. Its length is 8 yards and its width is 4 yards, so the area would be 8 x 4 = 32 yards^2.

Next, the 3 rectangles at the bottom (white). The one in the middle has a length of 4 yards and a width of 3 yards, so its area is 4 x 3 = 12 yards^2. The two rectangles to either side are the same size, so together their area will be 2 x 4 x 3 = 24 yards^2.

Now that we have modeled the park with 3 shapes, we need to add the areas together to get the total area. So, we have 32 + 12 + 24 = 68 yards^2. The total area of the park is 68 yards^2.

Step-by-step explanation:

The area of the park is about :

95 + 27 = 122 yards

We have the following information available from the question is:

The outline of a park is shown in the diagram. Each square on the grid represents a square yard. Use shapes to model the area of the park.

Now, According to the question:

Each square on the grid represents a square yard, and as we can see from the figure that the complete square is about 95, the incomplete grid is about 27,

So the area of the park is about :

95 + 27 = 122 yards

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Answer:

1247630.70149

Step-by-step explanation:

calculator

Answer:

1,247,630.7

Step-by-step explanation:

If a polynomial function has integer coefficients, the every rational zero of the function has the form p/q, where p is a factor of the constant term and q is a factor of the leading coefficient.

The rational zero theorem says that if a polynomial has integer coefficients then any rational zeros must be of the form p/q where p is the factor of the constant term and q is the factor pf the leading coefficients.

The rational zero theorem is used to determine the rational roots of a polynomial function.

Rational Zero Theorem statement:-

The rational zero theorem states that each rational zero(s) of a polynomial wit integer coefficients

f(x) = anxⁿ + an-1xⁿ⁻¹ + ... + a₂x² + a₁x + a₀ is of the form p/q where,

p is a factor of the constant a₀,

q  is a factor of the leading coefficient an,

and p and q are relatively prime.

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Answer:

If 1/5 of 30 eggs is bad, then 4/5 of 30 eggs is good.

4/5 of 30 = 4*6/5*6 = 24/30

24 eggs are good

4/5 of the eggs are good

Step-by-step explanation:

Answer:

4 divided by 9.48= 0.42( or 0.421940928.....)

Step-by-step explanation:

..

Answer:

36° , 54° , 90°

Step-by-step explanation:

since the triangle is right then one angle is 90°

the ratio of the smaller angles = 3 : 2 = 3x : 2x ( x is a multiplier )

the sum of the 3 angles in the triangle is 180° , that is

3x + 2x + 90 = 180

5x + 90 = 180 ( subtract 90 from both sides )

5x = 90 ( divide both sides by 5 )

x = 18

Then

3x = 3 × 18 = 54°

2x = 2 × 18 = 36°

the 3 angles measure 36° , 54° , 90°

Here m/n be the probability of  123/392, where m is  123 and n is 392,  so the  m+n is  515  

Here considering xⁿ to be the flipping heads of n numbers , so the generating functions for these coins are (1+x)(1+x)(3+4x) order, so  the  product those orders we get ,

(1+x)*(1+x)*(3+4x)= 4x^3+11^2+10x+3 ,here axⁿ means the n number of ways to get n number of  head .Now the square of the sum of the coefficient is (4+11+10+3)²= 28^2 =784, and the sum of the square of each coefficient is(4²+11²+10²+3²)=  246.The probability will be: 246/784=123/392 =123+392 =  515  

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The probability that 5 randomly selected homes all continue to use a landline is approximately 0.0094  or 0.94%.

In this case, the binomial distribution is used to calculate the probability of getting exactly k successes in n trials with a probability of success p.

The formula for the binomial probability distribution is used to calculate the probability of all 5 randomly selected homes continuing to use a landline. The binomial probability distribution formula is given by

          \(P(X = k) = (n, k) \times p^{k} \times (1 - p)^{n-k}\)

Here we have    

39.4% of us homes continue to use a landline in addition to cell phone service

Assuming that each household is independent and has the same probability of using a landline, we can model the number of households that continue to use a landline as a binomial random variable x with parameters n = 5 (the number of trials) and p = 0.394 (the probability of success on each trial).

The probability of getting exactly k successes in n trials can be calculated using the binomial probability formula:

               \(P(X = k) = (n, k) \times p^{k} \times (1 - p)^{n-k}\)  

For k = 5, the probability of all 5 households continuing to use a landline  

=> P(X = 5) = (5, 5) × 0.394⁵  × (1 - 0.394)⁽⁵⁻⁵⁾

= 0.394⁵ ≈ 0.0094

Therefore,

The probability that 5 randomly selected homes all continue to use a landline is approximately 0.0094  or 0.94%.

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When three college students are randomly selected, the probability that ALL three buy their textbooks online is 0.227

The probability that at least one purchases their textbooks online is 1.

As per the question the probability of students purchase their textbooks online 61%.

\(=\frac{61}{100}\)

p = 0.61.

So, failure = 1 - 0.61 = 0.39

q = 0.39

When 3 students are selected(n = 3)

We know that, \($$p(x)={ }^n c_x p^x q^{n-x}$$\)

So, probability that all of them to purchase

\($$\begin{aligned}&(x=3) \\& p(3)={ }^3 c_3(0.61)^3(0.39)^{3-3} \\& p(3)=0.22698\end{aligned}$$\)

When 5 students are selected (n = 5)

And probability that at least one purchases books online

\(=P(x=1)+P(x=2)+P(x=3)$ $+P(x=4)+P(x=5)$\)

Now we know that probability of all equal to 1.

\(P(0)+P(1)+P(2)+P(3)+P(4)+P(5)=1\)

So, we can simply write

\($$\begin{aligned}P & =1-p(x=0)+p(x=1) \\& =1-\left[{ }^5 C_0(0.61)(0.35)^{50}+{ }^5 C_1(0.61)^1(0.39)^{5-1}\right] \\& =1-0.00902-0.07056 \\P& =0.92042\end{aligned}$$\)

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