The following standards for variable overhead have been established for a company that makes only one product:



Standard hours per unit of output 3.6 hours
Standard variable overhead rate $16.05 per hour


The following data pertain to operations for the last month:



Actual hours 5,000 hours
Actual total variable overhead cost $80,000
Actual output 1,300 units


Required:

a. What is the variable overhead rate variance for the month?

b. What is the variable overhead efficiency variance for the month?

Answer:

  x = 1

Step-by-step explanation:

You want to know the value of x in the trapezoid with adjacent angles (43x+2)° and 135°.

The two marked angles can be considered "consecutive interior angles" where a transversal crosses parallel lines. As such, they are supplementary.

  (43x +2)° +135° = 180°

  43x = 43 . . . . . . . . . . . . . . divide by °, subtract 137

  x = 1 . . . . . . . . . . . . . . . divide by 43

The value of x is 1.

__

Additional comment

Given that the figure is a trapezoid, we have to assume that the top and bottom horizontal lines are the parallel bases.

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Answer:

5

Step-by-step explanation:

\(\sqrt{36}=6\)

A whole number between 3.75 and 6 is 5.

Answer:

Step-by-step explanation:

For step explanation:

1. write the problem

2. distinguishing the neg sign

3. distributing 3

4. moving like terms next to each other through commutative property

5.  Combining like terms

6. getting rid of parentheses

Answer:

x=7

Step-by-step explanation:

To find the value of N, we need the future value of the retirement fund. If you provide the desired future value, I can calculate the exact value of N.

To find the value of N, we need to calculate the number of monthly deposits Sam made for his retirement fund over 20 years.

Sam deposited $1000 every month for 20 years, which is a total of 20 x 12 = 240 deposits. Each deposit has a compounded interest rate of 5% per year, compounded monthly.

The formula to calculate the future value of a series of monthly deposits is given by:

FV = P * [(1 + r)^n - 1] / r

Where:

FV is the future value of the investment,

P is the monthly deposit amount,

r is the monthly interest rate, and

n is the number of deposits.

In this case, P = $1000, r = 5% / 12 = 0.05 / 12 = 0.00417 (monthly interest rate), and FV is the value of the retirement fund after 20 years.

By rearranging the formula, we can solve for n:

n = log((FV * r) / (P * r + FV)) / log(1 + r)

Plugging in the values, we get:

n = log((FV * 0.00417) / (1000 * 0.00417 + FV)) / log(1 + 0.00417)

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Answer:

It is 18.67031

Step-by-step explanation:

\(thats \: it\)

The nearest hundred-thousandth of the number is 18.67031.

To find the nearest hundred-thousandth.

Decimals are the numbers, which consist of two parts namely, a whole number part and a fractional part separated by a decimal point.

If the digit is less than 5, round down the nearest digit. If the digit is more than or equal to 5, round up the nearest digit.

the given number is 18.670308 ,then round up the nearest digit is 18.67031.

So, the nearest hundred-thousandth of the number is 18.67031.

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The fraction of the plot of land not occupied by the flowers is 0.0625 or 1/16.

Let's calculate the fraction of the plot of land that is not occupied by the flowers.

Given that initially, 1/4 of the land is allocated for orchids, we have 1 - 1/4 = 3/4 of the land remaining.

After planting the orchids, 2/3 of the remaining land is allocated for roses. Therefore, the fraction of land allocated for roses is (2/3) * (3/4) = 2/4 = 1/2.

Subtracting the land allocated for roses from the remaining land, we have 3/4 - 1/2 = 1/4 of the land remaining.

Finally, 0.75 of the remaining land is allocated for tulips. Therefore, the fraction of land allocated for tulips is 0.75 * (1/4) = 0.1875.

To find the fraction of the plot of land not occupied by the flowers, we subtract the fractions of land allocated for flowers from 1:

1 - (1/4 + 1/2 + 0.1875) = 1 - 0.9375 = 0.0625.

Therefore, the fraction of the plot of land not occupied by the flowers is 0.0625.

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Answer:

x=(y+2b)/3m

Step-by-step explanation:

y+2b=3mx

(y+2b)/3m=x

Answer/Step-by-step explanation:

Given:

Line equation => \( 2.1x + 9.9y - 9.2 = 0 \)

Required:

x-intercept and y-intercept of the line.

SOLUTION:

The x-intercept is the point where the line intercepts the x-axis. To find the x-intercept of the line for which the equation is given above, set y = 0 and solve for x.

\( 2.1x + 9.9(0) - 9.2 = 0 \)

\( 2.1x + 0 - 9.2 = 0 \)

\( 2.1x - 9.2 = 0 \)

\( 2.1x - 9.2 + 9.2 = 0 + 9.2 \)

\( 2.1x = 9.2 \)

\( \frac{2.1x}{2.1} = \frac{9.2}{2.1} \)

\( x = 4.4 \) (approximated)

The y-intercept is the point where the line intercepts the y-axis. At this point, x = 0. Set x = 0 and solve for y to find the y intercept.

\( 2.1(0) + 9.9y - 9.2 = 0 \)

\( 9.9y - 9.2 = 0 \)

\( 9.9y - 9.2 + 9.2 = 0 + 9.2 \)

\( 9.9y = 9.2 \)

\( y = \frac{9.2}{9.9} \)

\( y = 0.9 \) (approximated)

The equation that models the deposit, y, on day x that Julian makes with an initial deposit of $6 and depositing 2 times as much money as he did the day before is y = 6^2x.

An equation is a mathematical statement of the equality or equivalence of two or more mathematical or algebraic expressions.

Equations use the equation symbol (=), unlike mathematical expressions, which just combine variables, constants, numbers, and values with mathematical operands.

The initial deposit that Julian makes = $6

The amount that he deposits each day = 2x

Let Julian's deposit on day x = y

Let the number of days of deposit = x

y = 6^2x.

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Answer: SAS or Side-Angle-Side

Step-by-step explanation: Two triangles are congruent if they have the same exactly 3 sides and same exactly 3 angles.

There are methods to help prove congruence.

For example:

The triangles TUM and SRM are congruent because:

Lines RU and TS intersect at point M forming two pair of opposite angles, which are vertical and therefore, the same.

Being midpoint, point M divides RU into two equal segments: UM = MR. The same happens to TS: TM = MS.

Two sides and the included angle of one triangle is congruent to the corresponding parts of the other triangle, which means ΔTUM and ΔSRM are congruent and proved by SAS method.

All sides of a rhombus have equal measures, so TU = 8. Since a rhombus is a parallelogram, and the diagonals of a parallelogram bisect each other, WU = 10. The diagonals of a rhombus are also perpendicular, meaning they form right angles. Using the Pythagorean theorem, you can find the length of TX. (TX)^2 + (WX)^2 = (WT)^2. Substituting in known values, (TX)^2 + 25 = 64. Solving gives you TX = the square root of 39. TV is double the length of TX, so TV = 2 times the square root of 39.

Answer:

40% number of calories have increased

Step-by-step explanation:

Old Value ( Calories consume before)  = 2000

New Value (increase in Calories consumed) = 2800

We need to find by what percent did the number of calories increase ​

To find percent increase, the formula used is:

\(Percent\: increase=\frac{New\:Value-Old\:Value}{Old\:Value}\times 100%\)

Putting values in formula and finding percent increase

\(Percent\: increase=\frac{New\:Value-Old\:Value}{Old\:Value}\times 100\%\:\\Percent\: increase=\frac{2800-2000}{2000}\times 100\%\: \\Percent\: increase=\frac{800}{2000}\times 100\%\: \\Percent\: increase=0.4\times 100\%\: \\Percent\: increase=40\%\)

So, 40% number of calories have increased

400 square feet of carpet area for $240 is the best deal among the given option.

The measurement that expresses the size of a region on a plane or curved surface is called area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina. Area can be interpreted as the quantity of material with a specific thickness required to create a model of the shape or as the quantity of paint required to completely cover a surface in a single coat. It is the two-dimensional equivalent of the volume of a solid or the length of a curve, both of which are one-dimensional concepts (a three-dimensional concept).

The carpets were sold for the following prices:

1) $67 for 100 square feet.

2) $130 for 200 square feet.

3) $240 for 400 square feet

4) $504 for 800 square feet.

For each of them, we would calculate the unit cost per square foot. It develops

1) The price per square foot is 67÷100 = $0.67

2) The price per square foot is 130÷200 = $0.65.

3) The price per square foot is 240÷400 = $0.6.

4) The price per square foot is 504÷800 = $0.63.

Comparing the unit costs per square foot the best deal costs $0.6 per square foot per unit, which is 400 square feet of carpet for $240.

400 square feet of carpet area for $240 is the best deal among the given option.

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Answer:

5

Step-by-step explanation:

6x-2 = 56°/2

6x-2 = 28

6x = 28+2

6x = 30

x = 5

Answer

5:

Step-by-step explanation:

Because you need to set 56 equal

The equation of the line that passes through the point (-3, 7) and has a slope of -5/3 is y - 7 = (-5/3)(x + 3).

We are given the point (-3, 7) and the slope of the line as -5/3.The slope-intercept form of a line is y = mx + b where m is the slope and b is the y-intercept.

To obtain the equation of the line, we need to substitute the values of slope and point in the slope-intercept form and solve for b.(7) = (-5/3)(-3) + b 21/3 = b.

Now we have the value of b, and we can substitute the values of m and b in the slope-intercept form.y = (-5/3)x + 21/3 is the equation of the line in slope-intercept form.

To obtain the equation in the standard form Ax + By = C, we multiply each term by 3.3y = -5x + 7Add 5x to both sides5x + 3y = 7.

This is the equation of the line in standard form.

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Answer: Quadrant II

Step-by-step explanation:

I believe you are asking which quadrant the point falls under? Correct me if that's wrong. (-100, 100) falls in quadrant II. and here's how that works:

Quadrant I = ( +, +)

Quadrant II = (-, +)

Quadrant III = (-, -)

Quadrant IV= ( +, -)

Answer:

Quadrant II

Step-by-step explanation:

Answer:

To calculate Karl Pearson's coefficient of skewness, we need to use the formula:

Skewness = 3 * (Mean - Mode) / Standard Deviation

Given the Mean = 73.19, Mode = 79.56, and Variance = 16, we need to find the Standard Deviation first.

Standard Deviation = √Variance = √16 = 4

Now we can substitute the values into the formula:

Skewness = 3 * (73.19 - 79.56) / 4

Skewness = -6.37 / 4

Skewness = -1.5925

Rounded to four decimal places, the Karl Pearson's coefficient of skewness for the given values is approximately -1.5925.

Answer:

2

Step-by-step explanation:

The equation has 2 terms in it which means 2 is the answer.

Answer:

2/7 answer C. I have to make this answer longer I guess

Answer:

C.

Step-by-step explanation:

If you graph it, you can see that the lines are parallel.

Answer:

84°

General Formulas and Concepts:

Geometry

Step-by-step explanation:

According to the picture, we can see that the 2 angles are Alternate Interior Angles. By definition, these 2 angles will be congruent.

Step-by-step explanation:

360÷100×20

=72

so 360+72

=432

pls give brainliest!!

Step-by-step explanation:

The steps to solve inequalities with variables on both sides are:  

1. By using basic operations like addition and subtraction, bring all "x" terms to the left side.

2. Bring constants to the right side. If we have any fractions in the given inequality, we have to take L.C.M and simplify.        

L.C.M= least common multiple

I hope this helps!

Answer:

2^5

Step-by-step explanation:

The base is the same

2^3 * 2^2

We are multiplying, so we can add the exponents

2^3 * 2^2 = 2^(3+2) = 2^5

Answer: \(2^{5}\)

Explanation: I have written this problem on the whiteboard.

For the problem on the board, since our two powers have like bases of 2, we can multiply them together by simply adding their exponents.

So 2³ · 2² is just \(2^{5}\).

A common mistake in this problem would

be for students to say that  2³ · 2² is \(4^{5}\).

It's important to understand however that when applying your

exponent rules, your base in this case 2 will not change.

The value of x will be -7. The expression is solved using the identity.

Exponents can also be written as logarithms. The other number is equal to a logarithm with a number base. It's the exact inverse of the exponent function.

Given expression;

\(\rm log_2(\frac{1}{128}) = x\)

The expression is solved using the identity as;

\(\rm log_e1 = x\\\ e^x=1\)

Apply the identity;

\(\rm log_2(\frac{1}{128}) = x \\\\ 2^x = \frac{1}{128}\\\\ 2^x = \frac{1}{2^7} \\\\ 2^x = 2^{-7} \\\\ x = -7\)

Hence the value of x will bed -7.

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Answer:

Roughly 9.85 Exact: 9.848857081796105

Step-by-step explanation:

4^2 = 16

9^2 = 81

81 + 16 = 97

√97=9.848857081796105