If a figure is dilated by a scale factor of 6, the perimeter of the figure will change by factor of
A.3
B.6
C.36
D.12

Answer:

We found the factors and prime factorization of 32 and 48. The biggest common factor number is the GCF number. So the greatest common factor 32 and 48 is 16.

Step-by-step explanation:

What is the GCF of 32and 48?

16

Greatest common factor (GCF) of 32 and 48 is 16.

Answer:

Step-by-step explanation:

Confidence interval is written as

Sample proportion ± margin of error

Margin of error = z × √pq/n

Where

z represents the z score corresponding to the confidence level

p = sample proportion. It also means probability of success

q = probability of failure

q = 1 - p

p = x/n

Where

n represents the number of samples

x represents the number of success

From the information given,

n = 200

x = 34

p = 34/200 = 0.17

q = 1 - 0.17 = 0.83

To determine the z score, we subtract the confidence level from 100% to get α

α = 1 - 0.82 = 0.18

α/2 = 0.18/2 = 0.09

This is the area in each tail. Since we want the area in the middle, it becomes

1 - 0.09 = 0.91

The z score corresponding to the area on the z table is 1.35. Thus, the z score for a confidence level of 82% is 1.35

Therefore, the 82% confidence interval is

0.17 ± 1.35√(0.17)(0.83)/200

Confidence interval is 0.17 ± 0.036

Answer:

z  ∗  = 1.341

Step-by-step explanation:

Its right on khan academy

(x+1) & (x-5) are the factors of given equation.

The given Equation is,

x3- \(3x^{3}\) - 9

Here, If we substitute x =5, in the given equation, then we find

     (5)3 - 3(5)3 - 9*5 -5 = 0

x-5 is factor of given equation to find another factor dividing given equation by x-5

    we will get =(x2+2x+1) after dividing the equation by x - 5

Hence x3- \(3x^{3}\) - 9 =(x2+2x+1) (x-5)

                            =(x+2)2 (x-5)

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Decimals are obtained if fraction is solved even if there is remainder in division. The fraction representing the decimal 0.8888 is :\(\dfrac{1111}{1250}\)

For conversion from decimal to fraction, we write it in the form a/b such that the result of the fraction comes as the given decimal. Usually, to get the decimal of the form a.bcd, we count how many digits are there after the decimal point (if its finite), then we write 10 raised to that many power as denominator, and the considered number without any decimal point as numerator.

For example: \(0.99 = \dfrac{99}{10^2} = \dfrac{99}{100}\)

(10 raised to power k = 1 followed by k zeroes)

For the given case,  the decimal 0.8888 is converted to fraction as shown below.

As in 0.8888, there are 4 digits after decimal point so, we write numerator as 8888, and denominator as 10000, thus,

\(0.8888 = \dfrac{8888}{10000}\)

Now, we can cancel out the common factors in both numerators and denominators.

Thus, \(0.8888 = \dfrac{8888}{10000} = \dfrac{1111}{1250}\)

(canceled the common factor 8)

Therefore, the fraction representing the decimal 0.8888 is :\(\dfrac{1111}{1250}\)

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Answer:

2:1

Step-by-step explanation:

2:3=1:3

as product of extremes = product of means

(2)(3):(1)(3)

6:3

2:1

Answer:

(See below)

Step-by-step explanation:

m<1 = 180-130= 50 degrees

because <1 and the 130 degree angle are a linear pair so they are supplementary

m<2 = 50 degrees

because <1 and <2 are alternate interior angles so they are congruent

Answer:

39 Mr Jones

35 Mrs. Jones

8 Son

Step-by-step explanation:

x       ----> Mr. Jones

x - 4  ----> His wife

x - 31 ---> His son

x + (x - 4) + (x - 31) = 82

3x - 35 = 82

3x = 82 + 35

3x = 117

x = 117/3

x = 39 Mr Jones

x - 4

39 - 4

35 Mrs. Jones

x - 31

39 - 31

8 Son

The width of the new rectangular field would be 0 meters, which means it would essentially be a line segment.

To find the length and width of another rectangular field that has the same perimeter but a larger area, we can use the following steps:

1. Calculate the perimeter of the given rectangular field:

  Perimeter = 2 * (Length + Width)

            = 2 * (120 meters + 80 meters)

            = 2 * 200 meters

            = 400 meters

2. Divide the perimeter by 2 to find the equal sides of the new rectangular field. Since the perimeter is divided equally into two sides, each side would be half of the perimeter length:

  Side length = Perimeter / 2

             = 400 meters / 2

             = 200 meters

3. Now, we have the side length of the new rectangular field. However, we need to determine the length and width that would yield a larger area. One way to achieve this is to make one side longer and the other side shorter.

4. Let's assume the length of the new rectangular field is 200 meters. Since both sides have the same length, the width can be calculated using the formula for the perimeter:

  Width = Perimeter / 2 - Length

        = 400 meters / 2 - 200 meters

        = 200 meters - 200 meters

        = 0 meters

5. Therefore, the width of the new rectangular field would be 0 meters, which means it would essentially be a line segment. However, note that the question asks for a rectangular field with a larger area. Since the width cannot be zero, we can conclude that it is not possible to have a rectangular field with the same perimeter but a larger area than the given field.

In summary, it is not possible to find another rectangular field with the same perimeter but a larger area than the rectangular field with dimensions 80 meters wide and 120 meters long.

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Answer:

Step-by-step explanation:

You want two methods of choosing points on the line with slope 1/2 through A(-1, 2).

Writing the equation in standard form, we can find the x- and y-intercepts. To get there, we can start from point-slope form:

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y -2 = 1/2(x -(-1)) . . . . . using given slope and point

  2y -4 = x +1 . . . . . . . . . . multiply by 2

  x -2y =  -5 . . . . . . . . . . . . add -1 -2y

Setting x=0 tells us the y-intercept is ...

  0 -2y = -5

  y = -5/-2 = 5/2

So, the y-intercept is (0, 5/2).

Setting y=0 tells us the x-intercept is ...

  x -2(0) = -5

  x = -5

So, the x-intercept is (-5, 0).

It will be convenient to choose an arbitrary y-value to find another point on the line. We can pick y = 6, for example, Then the corresponding x-value is ...

  x -2y = -5

  x = -5 +2y = -5 +2(6) = 7

Another point on the line is (7, 6).

__

Additional comment

If we were to choose an arbitrary value for x, we would want it to be odd, so the corresponding y-value would be an integer. We chose to pick an arbitrary value of y so we didn't have to worry about how to make the x-value an integer.

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Answer: 3.6

Step-by-step explanation:

x=# of hours

Lisa's (L) rate = 1/6 per hour

Vicky's (V) rate = 1/9 per hour

L's work + V's work = 1

1/6x+1/9x=1

3/18x+2/18x=1

5/18x=1

18/5*5/18x=18/5*1

x=18/5

x=3.6

3.6 hours

Lisa and Vicky can paint the bedroom together in 3.6 hours. This is achieved by adding their individual rates of work (1/6 and 1/9 of the room per hour, respectively) to get 5/18 of the room per hour. Hence, the entire room can be painted in 18/5 hours.

The subject of this question is mathematics and concerns the time taken to paint a bedroom. Lisa can complete the job in 6 hours, meaning she can paint 1/6 of the room per hour. Vicky, who is slightly slower, can complete the job in 9 hours which implies she can paint 1/9 of the room per hour. When they work together, we simply need to add their rates together to determine how much of the room they can paint in one hour.

So, Lisa paints 1/6 of the bedroom per hour, and Vicky paints 1/9 of the bedroom per hour. Working together, they paint (1/6 + 1/9) of the bedroom per hour, which equals 5/18. Hence, they can paint the room in 18/5 (3.6) hours.

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The inequality that may be used to calculate how many people can fit inside the amusement park's capacity is: 18.75x + 14.75 425.

Let x represent the maximum number of visitors to the theme park. There is a set fee of 14.75 for parking and an amount of 18.75 for tickets for x individuals. The limitation is represented by the inequality 18.75x + 14.75 425. The entire cost, including tax, should not be more than $425. The greatest value of x, or the number of persons who can visit the theme park for the current price, may be determined by solving this inequality.

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Answer:

??????.

Step-by-step explanation:

????????????????

Answer:

the answer to x+(-9)=32 is x=41

The given statement "The median of a quantitative data set is always one of the individual data values" is false.

When a given data set is arranged in ascending order the observation which at the between of the data is the median of that data set. It is a value in the set whose left and right both have the same number of observations.

The given statement is not true, this is because the median is the mid-value of any data set.

Hence, the given statement "The median of a quantitative data set is always one of the individual data values" is false.

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Answer:

0.291×0.34=0.09894

Answer:  0.09894

We are going to use long division:

Answer :

Radio = 2000

Bike = 5000

Hope this helps u

Jaden's older sister had 4 years old when Jaden's younger sister was born.

Let x, y, z are the current ages of Jaden and his two sisters. In accordance to the statement, we must resolve the following system of linear equations to find the current ages:

Jaden's older sister

y = x - 3

x = y + 3

Jaden's younger sister

z = x - 7

We need an additional equation to get an unique solution, then we must use the following expression, that reduces the number of variable to two (x, y):

z = 0

If we know that z = 0 (because the older sister was born), then, the solution to the system of linear equations is:

x - 7 = 0

x = 7

7 = y + 3

y = 4

The older sister had 4 years old when the younger sister was born.

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Answer: 4

Step-by-step explanation:

7-3

According to the information in the graph, it can be established that the profit for 600 people would be $3,013.96

To calculate the profit for 600 people we must take into account the information in the graph. In this case we must establish how many people participated in the survey and how much was the total profit of the store with these customers.

Now we must make a rule of three to establish how much the profit would be in a group of 600 buyers.

According to the above, the profit of the store with a group of 600 buyers would be 3,012.96

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Answer:

x=4

Step-by-step explanation:

3x+5=17 is the equation you need to setup as all square sides are equalivent. Simplify the equation getting 3x=12, Divide all terms by 3 and you get x=4.

Answer: x = 4

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

A translation is a shape that is moved to a different X on Y place, but the normal one is at the same spot, shape, angle, and size.

hope this helps.

Answer:

D. Translation

Step-by-step explanation:

The image shown is where the triangle will be moved, a translation is when a shape is moved to another area, but kept the exact same shape, size, and angle.

Hope this was helpful, have a good day.

Answer: To calculate the amount of money you would need to invest in a period annuity that offers 4.5% APR compounded monthly for 20 years to receive an annual income of $42,000, you can use the following formula:

PV = A * [(1 - (1+r)^(-n)) / r]

where:

PV = present value (amount of money you need to invest)

A = annual income ($42,000 in this case)

r = interest rate per period (4.5% APR compounded monthly, or 0.045/12 = 0.00375 per month)

n = total number of periods (20 years x 12 months per year = 240 months)

Plugging in the numbers, we get:

PV = $42,000 * [(1 - (1+0.00375)^(-240)) / 0.00375]

PV = $553,229.03

Therefore, the answer is (A) $553,229.03.

Step-by-step explanation:

Answer: To match the shapes produced by the slice through the triangular prism, we need to consider the orientation of the slice relative to the prism. Here are the matching options:

A. Perpendicular to the base: Rectangle

B. Parallel to the base: Triangle with dimensions equal to the base

C. Diagonal from vertex to vertex: Triangle with unknown dimensions

To calculate the cost of shortage (Cs), we need to find the area under the normal distribution curve to the left of the optimal service level. The cost of shortage is the difference between the selling price and the Monday price, multiplied by the probability of shortage.

To calculate the cost of excess (Ce), we find the area under the normal distribution curve to the right of the optimal service level. The cost of excess is the difference between the cost of making the cake and the selling price, multiplied by the probability of excess. The optimal service level is determined by minimizing the total cost, which is the sum of the cost of shortage and the cost of excess. We can find the corresponding z value for the optimal service level using the standard normal distribution table. Once we have the optimal service level (z value), we can find the corresponding demand value. Since demand is normally distributed, we can calculate the optimal number of birthday cakes to make for the weekend by subtracting the expected demand from the optimal service level demand. However, without specific information on the desired service level or target level of shortage/excess, it is not possible to provide numerical answers to the questions. The optimal service level, corresponding z value, and the optimal number of cakes will depend on the specific parameters and objectives of the supermarket bakery.

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(a) Expected number of repairs per year is 0.33 (b) Standard deviation of number of repairs per year is 0.749, (c) The mean and standard deviation of annual expense are $136.55 and $26.217 respectively.

Standard deviation is a measure in statistics which measures the amount of deviation a set of data has with respect to their mean.

(a) Expected number of repairs for the freezer per year is the sum of the product of number of repairs to their probability.

E(Repairs) = (0 × 0.80) + (1 × 0.11) + (2 × 0.05) + (3 × 0.04)

                 = 0.33

(b) Standard deviation of number of repairs per year can be calculated as,

SD(Repairs) = \(\sqrt{[(0 - 0.33)^{2}(0.8)]+[(1-0.33)^{2}(0.11)] + [(2-0.33)^{2}(0.05)]+[(3-0.33)^{2}(0.04)] }\)

= √ (0.5611)

= 0.749

(c) Mean of the restaurant's annual expense with service contract is,

Mean = Expected cost = $125 + ($35 × 0.33) = $136.55

Standard deviation of the restaurant's annual expense with service contract is,

SD = \(\sqrt{35^{2}(0.5611) }\) = 35 × 0.759 = 26.217

Hence the expected number of repairs is 0.33, standard deviation of number of repairs is 0.749, mean and standard deviation of annual expense is $136.55 and $26.217 respectively.

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Answer:

-300

Step-by-step explanation:

Step 1:  Find the amount Elmer's funds decreased after purchasing the rabbits:

Let x represent Elmer's funds.

Since Elmer bought five rabbits for $10 each, he lost $10 5 times.

x - (10 * 5)

x - 50

Thus, Elmer lost (spent) $50 for the 5 rabbits.

Step 2:  Find the amount Elmer's funds decreased after purchasing the  cupboards:

Since Elmer bought four cupboards for $70 each, he lost $70 4 times:

x - (50 + (70 * 4))

x - (50 + 280)

x - 330

Thus, after purchasing the rabbits and cupboards, Elmer lost $330.

Step 3:  Find the amount Elmer's funds increased after finding the twenty-dollar bill:

Since Elmer found a twenty-dollar bill, he gained $20

x - (330 + 20)

x - 310

Step 4:  Find the amount Elmer's funds increased after returning one rabbit:

Since Elmer returned one rabbit, he gained $10:

x - (310 + 10)

x - 300

Thus, Elmer's funds changed totally by -$300.

Putting all the information together, we have:

x - 10 - 10 - 10 - 10 - 10 - 70 - 70 - 70 - 70 + 20 + 10

x - 50 - 280 + 30

x - 330 + 30

x - $300

Answer:

To find area of the quadrilateral ABCD, now we have take the vertices A(x1, y1), B(x2, y2), C(x3, y3) and D(x4, y4) of the quadrilateral ABCD in order (counter clockwise direction) and write them column-wise as shown below. Add the diagonal products x1y2, x2y3, x3y4 and x4y1 are shown in the dark arrows.

Step-by-step explanation:

The  preservation/list school, led by naturalist John muir, wanted wilderness areas on some public lands to be left untouched.

A naturalist lifestyle is a term that connote that a person is making or developing values that makes or forms empathy and caring in regards to nature.

Therefore, The  preservation/list school, led by naturalist John muir, wanted wilderness areas on some public lands to be left untouched.

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you do 479 x 2 = 958 there is your answer your welcome