Prepare a contribution margin income statement.
Naomi's Quilt Shoppe sells homemade Amish quilts. Naomi buys the quilts from local
Amish artisans for $290 each, and her shop sells them for $490 each. She also pays a
sales commission of 8% of sales revenue to her sales staff. Naomi leases her country-
style shop for $1,300 per month and pays $1,800 per month in payroll costs in addition
to the sales commissions. Naomi sold 95 quilts in February,

The value of the cosine of angle B is,

⇒ cos B = 5 √89 / 89

We have to given that;

A triangle is shown in image.

Now, By trigonometry formula we get;

⇒ cos B = Base / Hypotenuse

Here, We can find the c as;

c² = 8² + 5²

c² = 64 + 25

c² = 89

c = √89

Hence, The value of the cosine of angle B is,

⇒ cos B = Base / Hypotenuse

⇒ cos B = 5 / √89

⇒ cos B = 5 √89 / 89

Thus, Option B; cos B = 5 √89 / 89 is correct.

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The perimeter of the figure is 17cm. Option (a) is the correct answer.

The rectangle has a length of 5 centimeters and a width of 3 centimeters. So, the rectangle has two sides of length 5 cm and two sides of length 3 cm. Therefore, the total perimeter of the rectangle is:

The Triangle and the rectangle ae sharing a side of length 5 cm Therefore perimeter of the figure is sum of two other sides of triangle+ sum of three sides of rectangle

Perimeter of rectangle = 2(Length + Width) = 2(5 + 3) = 2(8) = 16 cm

The triangle has side lengths of 5 centimeters, 3 centimeters, and 3 centimeters. The sum of the lengths of the sides of the triangle is:

Perimeter of triangle = sum of two other sides = 3+3=6cm

To find the total perimeter of the figure, we add the perimeters of the rectangle and the triangle:

Total perimeter =  The sum of two other sides of triangle sum of three sides of rectangle (3+5+3)

=3+3 +(3+5+3)

= 17cm

Therefore, Option (a) is the correct answer

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Answer:

------------------------

The graph has no intersection with the x-axis, therefore it has no zeros.

The matching choice is D.

The image of vertex C under the given similarity transformation is (4, 2).

To apply the given similarity transformation, we need to perform two transformations: a rotation of 90 degrees counterclockwise about the origin (denoted by R) and a dilation by a factor of 2 (denoted by D2). We perform the transformations in order: first the rotation, then the dilation.

The image of a point (x, y) after a rotation of 90 degrees counterclockwise about the origin is (-y, x).

Thus, the image of C after the rotation is:

C' = (-(-2), 1) = (2, 1)

To find the image of C' after the dilation by a factor of 2, we multiply each coordinate by 2:

C" = (22, 21) = (4, 2)

Therefore, the image of vertex C under the given similarity transformation is (4, 2).

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Answer:

Step-by-step explanation:

To find the median we first need to arrange the data points from smallest to largest:-

[tex]\sf 12, 13, 16, 5, 8, 18, 14, 19, 2[/tex]

Arranged:- 2, 5, 8, 12, 13, 14, 16, 18, 19.

Now, if the  number of data points is even, the median is the average of the two middle data points in the list. Since the numbers are odd, the median is the middle data point. which, in this case, it's 13.

2, 5, 8, 12, 13, 14, 16, 18, 19

______________________

Hope this helps!

Triangle A''B''C'' is given by the image presented at the end of the answer.

The five more known rotation rules are given as follows:

The coordinates of triangle ABC are given as follows:

A(-5, 2), B(-3, 6), C(-1, 3).

Hence the coordinates after the rotation 90º clockwise are given as follows:

A'(2, 5), B'(6, 3), C'(3, 1).

y = 2 is an horizontal line, hence after the reflection, the x-coordinates remain constant, while the y-coordinates move in the opposite direction, hence:

A''(2, -1), B''(6,1), C''(3,3).

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Answer: 2500

Step-by-step explanation: Step-by-step explanation: If you calculate out 5x6 that equals 30 and 5x5-5 equals 20, when you do 30+20 that equals 50 and 50 to the 2nd power is 50x50 and that would equal 2500

Answer:

----------------------

Martin has 1/4 of a bag of chocolate chip cookies.

Since the bag weights 4 pounds, Martin has:

All the values are,

sin π = 0

cos π = - 1

tan π = 0

sin π/2 = 1

cos π/2 = 0

tan π/2 = ∞

We have to given that;

⇒ θ = π

⇒ θ = π/2

Hence, All the values of sine, cosine and tangent of θ are,

At θ = π;

sin θ = sin π

      = 0

cos θ = cos π

         = - 1

tan θ = tan π

        = 0

At  θ = π/2;

sin θ = sin π/2

      = 1

cos θ = cos π/2

         = 0

tan θ = tan π/2

        = ∞

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From the given Venn diagram the value of P(A or B) is 0.

From the given Venn diagram, we have P(A)=14, P(B)=10 and (P and B)=24.

We know that, P(A or B)=P(A)+P(B)-P(A and B)

P(A or B)=14+10-24

P(A or B)=0

Therefore, from the given Venn diagram the value of P(A or B) is 0.

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The confidence interval based on the given values (x = 45, n = 96, Confidence level = 95%.

The confidence level (95%), sample size (n = 96), and sample mean (x = 45), we can calculate the margin of error and the confidence interval. Here's how:

1. Margin of Error:

The margin of error represents the maximum expected difference between the true population parameter and the sample estimate. It depends on the confidence level and the standard deviation (which we don't have in this case).

Since the standard deviation is unknown, we can use the t-distribution to estimate it. With a sample size of n = 96, the degrees of freedom are (n - 1) = 95. Considering a 95% confidence level, the critical value for a two-tailed test is approximately 1.984 (referencing a t-distribution table or calculator).

The margin of error (E) can be calculated using the following formula:

E = critical value * (standard deviation / sqrt(n))

However, since we don't have the standard deviation, we can't compute the margin of error in this case.

2. Confidence Interval:

The confidence interval represents a range of values within which the true population parameter is likely to fall.

The confidence interval can be calculated using the formula:

CI = x ± (critical value * standard deviation / sqrt(n))

The confidence interval based on the given values (x = 45, n = 96, confidence level = 95%.

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How to compare fractions is explained in the solution below.

One way to compare fractions is to convert them into their decimal form and decide which is the smaller of the two.

Example: 7/10 and 3/5 become 0.7 and 0.6.

Hence 3/5 is smaller than 7/10.

The other way is to convert them into fractions with identical denominator.

For that multiply the denominator of one fraction with the numerator and denominator of the other.

Do the same with the other denominator and the other fraction. Then decide which fraction is the smaller of the two.

Example: 7/8 and 13/15 become (7*15)/(8*15) = 105/120 and

(13*8)/(15*8) = 104/120.

Hence 13/15 is smaller than 7/8.

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Answer:

1.25

Step-by-step explanation:

Convert 1-half to a decimal by dividing 1 by 2:

1 ÷ 2 = 0.5

Add the two decimals:

0.5 + 0.75 = 1.25

Therefore, the sum of 1-half and 0.75 is 1.25.

ANSWER:

768

Step-by-step explanation:

He has 1,200. We need to find 8% of 1,200. 8%x1,200=96x8 years= 768

The greatest common factor is 3x² and GCF form of polynomial is

3x²(3x-2).

The given polynomial is

9x³ - 6x²

We can write it as;

3x²(3x-2)

We know that

The greatest common factor (GCF) that divides two or more numbers is known as the greatest common divisor (GCD). The highest common factor (HCF) is another name for it.

Therefore 3x² is its GCD.

Divide each term of polynomial 3c,

6c³ ÷ 3c = 2c² and  -9c ÷ 3c = -3

Thus,

3x²(3x-2) is the factored version of the polynomial with the highest common factor.

Also if GCD is 1 then after dividing each term by 1 we get same result

thus the polynomial be 3x²(3x-2).

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The number line is shown below.

Here's a number line with 3.5, -3.5, and 0 plotted:

     -4     -3     -2     -1      0      1      2      3      4

       |       |        |       |       |       |       |       |       |

       |               o      o             o                       |

       |                               o                              |

As you can see, 3.5 is to the right of 0, while -3.5 is to the left of 0.

They are also equidistant from 0, meaning that their distance from 0 is the same.

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The reduced row echelon form of the matrix is given as follows:

[tex]\left[\begin{array}{cccc}-1&0&0&8\\0&1&0&-2\\0&0&1&-6\end{array}\right][/tex]

The reduced row echelon form of a matrix is matrix in which the matrix except the last column has the format of an identity matrix, that is, a matrix in which the principal diagonal elements are of 1 and the rest of the elements are of 0.

Hence we can use a mix of row operations, along with the solution of a system of equations, to obtain the reduced row echelon form of a matrix.

The matrix in the context of this problem is defined as follows:

[tex]\left[\begin{array}{cccc}-1&5&-3&6\\0&3&6&-42\\0&-6&-1&18\end{array}\right][/tex]

First we want a value of 1 at line 1, column 1, hence we multiply the first line by -1, that is:

R1 -> -R1.

Hence:

[tex]\left[\begin{array}{cccc}1&-5&3&-6\\0&3&6&-42\\0&-6&-1&18\end{array}\right][/tex]

Then we want a value of 1 at line 2 column 2, thus:

R2 -> R2/3.

Hence:

[tex]\left[\begin{array}{cccc}1&-5&3&-6\\0&1&2&-14\\0&-6&-1&18\end{array}\right][/tex]

Then we want a value of 0 at line 3, column 2, hence:

L3 -> L3 + 6L2

[tex]\left[\begin{array}{cccc}1&-5&3&-6\\0&1&2&-14\\0&0&11&-66\end{array}\right][/tex]

Then the solution to the system of equations is given as follows:

Hence the row echelon form of the matrix is given as follows:

[tex]\left[\begin{array}{cccc}-1&0&0&8\\0&1&0&-2\\0&0&1&-6\end{array}\right][/tex]

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Answer: n = 412

Step-by-step explanation:

If the last two digits of a number are divisible by 4, the whole number is divisible by 4 since any multiple of 100 is divisible by 4. The largest number that can be created is 421 since the largest number is in the hundreds place and then the second largest number is in the tens place, but 21 is not divisible by 4. The second largest number, 412, still has the greatest number as the hundreds place, but the tens place is now smaller. 12 is divisible by 4, so 412 is divisible by 4. We know that 412 is the largest possible number for n because there is only one larger number than 412, which is 421 and it is not divisible by 4.

Answer:

-----------------------------

Divisibility rule for 4:

We have 3 digits and the greatest number can be made by these digits is 421. But it has to be divisible by 4, hence we rearrange it to 412. Since 12 is divisible by 4, the number is divisible by 4.

Now, we choose 9 as the fourth digit. It will be a first digit from left and form the largest possible number n:

Answer: 32.493 maybe, dont quite understand the question

Step-by-step explanation:

The value of k is 18.

If x + 2 is a factor of f(x) = x^3 + 5x + k, it means that when x = -2, the expression f(x) becomes zero.

Substituting x = -2 into f(x), we have:

f(-2) = (-2)³ + 5(-2) + k

= -8 - 10 + k

= -18 + k

Since f(-2) should equal zero, we have:

-18 + k = 0

k = 18

Therefore, the value of k is 18.

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The system of linear equations has no solution

The system of linear equations is the set of two or more linear equations involving the same variables. Here, linear equations can be defined as the equations of the first order, i.e., the highest power of the variable is 1.

In this problem, we have two equations which are;

x = 10 + 6y ...eq(i)

x - 6y = 5 ...eq(ii)

From eq(i)

x = 10 + 6y;

We can substitute this into eq(ii)

10 + 6y - 6y = 5

10 +0 = 5

Since y is already canceled out, we don't have solution to this equations.

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To solve the inequality 6(x−1)>−18, we need to isolate x on one side of the inequality. We can do this by dividing both sides of the inequality by 6, but since we're dividing by a negative number, we need to flip the inequality sign:

6(x−1)>−18

x - 1 > -3

Adding 1 to both sides of the inequality gives us:

x > -2

Therefore, the solution to the inequality is x > -2.

Answer: x > -2

Step-by-step explanation:

     To solve the inequality, we will isolate the given variable.

Given:

     6(x − 1) > −18

Distribute the 6 into (x - 1):

     6x − 6 > −18

Add 6 to both sides of the inequality:

     6x > -12

Divide both sides of the inequality by 6:

     x > -2

The correct answer is B. Wages will increase.

When the Long-Run Aggregate Supply (LRAS) curve begins to slope upward in the second phase, it indicates that as the economy moves towards full employment and productive capacity, wages will increase.

The upward slope of the LRAS curve suggests that as the economy expands and approaches its maximum potential output, the demand for labor increases, leading to higher wages.

This is because firms need to pay higher wages to attract and retain workers in a tightening labor market, where the supply of labor becomes relatively scarce compared to the demand.

The right answer is B. Wages will increase.

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The mass of the pipe is 254 grams.

First, The volume of the outer cylinder (V1) can be calculated using the formula for the volume of a cylinder:

V1 = π (radius_outer)² x  height

V1 = 3.14 (6)² (8)

and, the volume of inner cylinder

V2 = π(inner radius)² height

V2= 3.14 (5)² (8)

Now, let's calculate the volume of the plastic pipe:

Volume = V1 - V2

= 3.14 (6)² (8) - 3.14 (5)² (8)

= 3.14 x 8 (36- 25)

= 276.32 cm³

Now, Mass = Volume x density

Mass = 276.32 x 0.92

Mass = 254.19 grams

Thus, the mass of the pipe is 254 grams.

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By completing the flexible budget performance report, Milano Pizza's owner can identify areas for improvement and make informed decisions to optimize the pizzeria's performance.

The flexible budget performance report for Milano Pizza for November will include revenue and spending variances, as well as activity variances. The two major cost drivers are the number of pizzas sold and the number of deliveries made.

1. Revenue variances: Calculate the difference between the actual revenue and the budgeted revenue for both in-store dining and delivery services. Label the variances as "F" for favorable (actual revenue higher than budgeted) or "U" for unfavorable (actual revenue lower than budgeted).

2. Spending variances: Analyze the costs related to pizza production and delivery person wages. Compare the actual costs to the budgeted costs, and label the variances as "F" for favorable (actual costs lower than budgeted) or "U" for unfavorable (actual costs higher than budgeted).

3. Activity variances: Assess the differences in the number of pizzas sold and deliveries made compared to the budgeted activity levels. Label these variances as "F" for favorable (higher activity than budgeted), "U" for unfavorable (lower activity than budgeted), or "None" for no effect (zero variance).

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Answer:

15 + x is the expression for 6 added to sum of 9 and x

Answer:

D

Step-by-step explanation: