Root 40 to the nearest 10

1. Variable manufacturing overhead rate variance

The formula Actual Hours × (Actual Rate - Standard Rate) is used to calculate the variable manufacturing overhead rate variance. This variance measures the difference between the actual variable manufacturing overhead cost incurred and the standard variable manufacturing overhead cost that should have been incurred, based on the standard rate per hour.

Variable manufacturing overhead rate variance = Actual Hours × (Actual Rate - Standard Rate)

The variable manufacturing overhead rate variance provides insight into how efficiently a company is utilizing its variable manufacturing overhead resources in terms of the rate per hour. A positive variance indicates that the actual rate paid per hour for variable manufacturing overhead was higher than the standard rate, resulting in higher costs. On the other hand, a negative variance suggests that the actual rate paid per hour was lower than the standard rate, leading to cost savings.

By analyzing this variance, management can identify areas where the company may be overspending or underspending on variable manufacturing overhead and take corrective actions accordingly, such as renegotiating supplier contracts or optimizing resource allocation.

To know more about Variable, visit;

https://brainly.com/question/28248724

#SPJ11

Answer:

Counterclockwise

Step-by-step explanation:

The cartesian plane is divided into four quadrants. These are numbered from I through IV, starting with the upper right and going around counterclockwise. Hope this helps!

Answer:

Counterclockwise

The function that relates the distance traveled d to the time t is d(t) = 120t.

In Mathematics and Science, speed is the distance covered by a physical object per unit of time.

In Mathematics and Science, the speed of any a physical object can be calculated by using this formula;

Speed = distance/time

Speed = 360/3

Speed = 120 kilometers per hours.

Making distance the subject of formula, we have:

Distance, d(t) = speed × time

Distance, d(t) = 120 × t

Distance, d(t) = 120t

Read more on speed here: https://brainly.com/question/19260635

#SPJ1

Complete Question:

A train leaves the station at time t0. Traveling at a constant​ speed, the train travels 360 kilometers in 3 hours. Write a function that relates the distance traveled d to the time t

Answer:

yes yes yes you are great heeeee

Answer:2.86

Step-by-step explanation:

3.5(x +2) = 17

3.5x + 7 = 17

3.5x =17 - 7

3.5x =10

x = 10/3.5

x = 2.86

Transcutaneous delivery systems are used to treat a variety of conditions, particularly those that require a continuous, sustained release of medication over a period of time.

Examples of such conditions include persistent nausea, chemotherapy-related nausea, and chronic nausea. It is also possible to use transcutaneous delivery methods to treat specific skin conditions like psoriasis, eczema, and acne.

Transcutaneous delivery devices are also used to administer medications for disorders that call for repeated injections, such as diabetes insulin or medications for quitting smoking or hormone replacement therapy.

Traditional injections can be replaced with transcutaneous delivery systems, which also have the advantage of delivering a more reliable, consistent amount of medication.

To learn more about medication visit:

https://brainly.com/question/30235150

#SPJ4

Answer:If a line segment intersects two straight lines forming two interior angles on the same side that sum to less than two right angles, then the two lines, if extended indefinitely, meet on that side on which the angles sum to less than two right angles

The point (9, -7) is the only solution to the system of linear inequalities given.

To determine which point would be a solution to the system of linear inequalities, let's substitute the given points into the inequalities and see which point satisfies both inequalities.

The system of linear inequalities is:

y > -4x + 6

y > (1/3)x - 7

Let's test each given point:

For the point (9, -7):

Substituting the values into the inequalities:

-7 > -4(9) + 6

-7 > -36 + 6

-7 > -30 (True)

-7 > (1/3)(9) - 7

-7 > 3 - 7

-7 > -4 (True)

Since both inequalities are true for the point (9, -7), it is a solution to the system of linear inequalities.

For the point (-12, -2):

Substituting the values into the inequalities:

-2 > -4(-12) + 6

-2 > 48 + 6

-2 > 54 (False)

-2 > (1/3)(-12) - 7

-2 > -4 - 7

-2 > -11 (False)

Since both inequalities are false for the point (-12, -2), it is not a solution to the system of linear inequalities.

For the point (12, 1):

Substituting the values into the inequalities:

1 > -4(12) + 6

1 > -48 + 6

1 > -42 (True)

1 > (1/3)(12) - 7

1 > 4 - 7

1 > -3 (True)

Since both inequalities are true for the point (12, 1), it is a solution to the system of linear inequalities.

For the point (-12, -7):

Substituting the values into the inequalities:

-7 > -4(-12) + 6

-7 > 48 + 6

-7 > 54 (False)

-7 > (1/3)(-12) - 7

-7 > -4 - 7

-7 > -11 (True)

Since one inequality is true and the other is false for the point (-12, -7), it is not a solution to the system of linear inequalities.

In conclusion, the point (9, -7) is the only solution to the system of linear inequalities given.

For similar question on inequalities.

https://brainly.com/question/28755685  

#SPJ8

The minimum number of tables the store must sell is 5.

Two or more expressions with an Equal sign is called as Equation.

Using t and c as variables, we get

100c + 400t ≥ 3000

c+t≤16

The online furniture store must sell at least $3000 worth of chairs and tables each day, and can ship at most 16 pieces of furniture.

If the store sells 9 chairs for a total of $900, it needs to sell at least 5 tables to reach a total revenue of $3000.

Since the total number of pieces of furniture sold is 14 (9 chairs + 5 tables), which is less than the maximum of 16, the store meets the daily shipping requirement.

Therefore, the minimum number of tables the store must sell is 5.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ9

The answers to all the equations are:

So, f(x):

(A) f(x) = x + 3 when f(4)

(B) f(x) = 2x - 9 when f(5)

(C) f(x) = -6x + 2 when f(-3)

Therefore, the answers to all the equations are:

Know more about equations here:

brainly.com/question/2972832

#SPJ13

The correct statement is B. For all b, the equation Ax=b has a solution.

Since the columns of A are linearly independent, then the matrix A has full rank, and its column space is equal to the entire vector space in which it resides. This means that for any given vector b, we can find a linear combination of the columns of A that is equal to b, and therefore the equation Ax=b has a solution for all b.

Option A is incorrect, as there may be certain b vectors for which Ax=b has a solution.

Option C is incorrect, as the equation Ax=b may have a solution even when A has fewer columns than rows.

Option D is incorrect, as we can determine whether or not the equation Ax=b has a solution for all b by checking the rank of A.

Option E is incorrect, as the equation Ax=b may have a solution even when A has more columns than rows.

Option F is incorrect, as a square matrix may or may not have linearly independent columns, and therefore may or may not have a solution for all b.

for such more question on matrix

https://brainly.com/question/2456804

#SPJ4

Answer:

A) Perimeter: 210

   Area: 2,516

B) Area

C) Perimeter

Hope this helps ya :3

For a circle of radius 4 inches;

1. The diameter of the circle is 8in

2. The area of the the circle is 16 in²

3. The volume of the cylinder is 96π in³

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called centre.

The diameter of circle = 2 × radius of a circle

diameter = 2 × 4

diameter = 8 in²

The area of the circle is expressed as;

A = πr²

A = π × 4²

A = 16π cm²

The volume of a cylinder is expressed as ;

V = πr² h

V = 16π × 6

V = 96π in³

therefore the third statement is not correct.

learn more about area of a circle from

https://brainly.com/question/14068861

#SPJ1

Answer: Answer in detail below

Step-by-step explanation:

1. Write an inequality to represent the situation below:

Let "x" be the number of tickets Desiree can buy.

The amount she spends on tickets is equal to the total amount she has minus the amount she spends on food:

Total amount - Amount spent on food = Amount spent on tickets

Therefore, the inequality to represent this situation is:

1.75x ≤ 35 - 15

2. Define your variable in words:

"x" represents the number of tickets Desiree can buy.

3. Solve the inequality:

1.75x ≤ 20

x ≤ 20 ÷ 1.75

x ≤ 11.43 (rounded to the nearest whole number because you cannot buy a fraction of a ticket)

4. Describe what the solution means in the context of the problem:

The solution x ≤ 11 means that Desiree can buy a maximum of 11 tickets for rides with the money she has left after spending $15 on food. If she buys more than 11 tickets, she will not have enough money to pay for them.

3. Use the radius length to find for vertices inscribed on the circle.

The method of constructing the square in a circle that can be used is described below.

If the quadrilateral is inscribed in a circle then the quadrilateral is known as a cyclic quadrilateral. And the sum of opposite angles of the quadrilateral is 180 degrees.

The steps of constructing the square in a circle are as follows:

The method of constructing the square in a circle that can be used as described above.

More about the cyclic quadrilateral link is given below.

https://brainly.com/question/15061291

#SPJ6

The number of rides is the dependent variable, while the total cost is the independent variable.

In mathematical modeling, statistical modeling, and experimental sciences, there are dependent and independent variables. Dependent variables get their name because, during an experiment, their values are investigated under the presumption or requirement that they are dependent on the values of other variables according to some law or rule.

The variable that the researcher modifies or manipulates in an experiment is known as the independent variable. The measured reaction is the dependent variable. The dependent variable is dependent on the change in the independent variable, to put it another way.

To know more about dependent variable,

https://brainly.com/question/12918742

#SPJ4

Answer:

(2x-30)(2x-20)(x-60)

Step-by-step explanation:

you're welcome

Each guest receive 352 gm veal roast.

The pound is a unit of measurement used in the U. S. customary system and the British imperial system to measure weight. One familiar use of pounds is measuring how much a person weights.

We know that,

1 pound = 453.592 gm

12.4 pound = ? gm

12.4 pound = 12.4×453.592

                   = 5624.541 gm

Total number of guest = 16

Then,

Each guest receive veal roast = \(\frac{5624.541 gm}{16}\)

                                                 = 352 gm

Hence, Each guest receive veal roast is 352 gm.

To learn more about pound from the given link:

https://brainly.com/question/25973294

#SPJ4

Answer:

C. The interquartile range (IQR) for the Wolverines, 30, is less than the IQR for the Panthers, 40.

Step-by-step explanation:

The interquartile Range (IQR) of a data describes or measures how spread out the data values are.

Thus, IQR = Q3 - Q1. which is the range of the rectangular box in the box plot given.

Thus,

IQR for the Wolverines = 85 - 55 = 30

IQR for the Panthers = 90 - 50 = 40

Therefore, comparing their spreads, the most appropriate statement is:

C. The interquartile range (IQR) for the Wolverines, 30, is less than the IQR for the Panthers, 40.

Answer:

I think A  but if im wrong tell me sorry if it wrong

Step-by-step explanation:

Answer:

8 is 2 answers. the answer is A

Answer:

\(\dfrac{-15}{8}\)

Step-by-step explanation:

\(\sf \dfrac{3}{4} \ \div \dfrac{-2}{5}\)

 Use KCF method.

       \(\sf \dfrac{3}{4} \ \div \dfrac{-2}{5}=\dfrac{3}{4}*\dfrac{-5}{2}\)

                      \(\sf = \dfrac{3*(-5)}{4*2}\\\\ =\dfrac{-15}{8}\)

Answer:Difference

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

To find the slope of a line, we can use the slope formula:

\(\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\)

So, we will need to choose two points from the graph. Any two points will work.

Let’s choose (0, -1) and (1, 2).

So, we will let (0, -1) be (x₁, y₁) and (1, 2) be (x₂, y₂). Substitute these values into the slope formula:

\(\displaystyle m=\frac{2-(-1)}{1-0}\)

Evaluate:

\(\displaystyle m=\frac{3}{1}=3\)

Therefore, the slope of the line is 3.

Hence, our answer is A.

The general solution to the differential equation dy/dx = x - 1/3y^2 for y>0 is y(x) = √(3(x^2/2 - x + C)), where C is a constant of integration.

To solve the differential equation, we can separate variables and integrate both sides with respect to y and x:

∫ 1/(y^2 - 3x) dy = ∫ 1 dx

Using partial fraction decomposition, we can rewrite the left-hand side as:

∫ (1/√3) (1/(y + √3x) - 1/(y - √3x)) dy

Integrating each term with respect to y, we get:

(1/√3) ln|y + √3x| - (1/√3) ln|y - √3x| = x + C

Simplifying, we get:

ln|y + √3x| - ln|y - √3x| = √3x + C

ln((y + √3x)/(y - √3x)) = √3x + C

Taking the exponential of both sides and simplifying, we get:

y(x) = √(3(x^2/2 - x + C)), where C is a constant of integration. Therefore, the answer is √(3(x^2/2 - x + C)) for y(x).

You can learn more about differential equation  at

https://brainly.com/question/1164377

#SPJ11

Answer:

250 acres

Step-by-step explanation:

2 bison x 50 = 100 bison

5 acres x 50 = 250 acres

Answer:

250 acers of grass

you do 50x5

\(_{12}C_4=\dfrac{12!}{4!8!}=\dfrac{9\cdot10\cdot11\cdot12}{2\cdot3\cdot4}=495\)

1. The area of the scale drawing of the park is 146,880 square inches (Option J).

2. The perimeter of the park is 126 feet (Option D).

3. The length of the south side of the park is 40% of the length of the north side (Option F).

1. To find the area of the scale drawing of the park, we need to calculate the area of the trapezium. The formula for the area of a trapezium is (base1 + base2) * height / 2.

Using the scale, the lengths of the bases (parallel sides) in feet would be:

Base1 = 28 inches * 1.5 feet/inch = 42 feet

Base2 = 40 inches * 1.5 feet/inch = 60 feet

Plugging in the values into the formula, we have:

Area = (42 + 60) * 16 / 2 = 1020 square feet

Since the answer options are in square inches, we need to convert the area back to square inches:

Area = 1020 square feet * 144 square inches/square foot = 146880 square inches

Therefore, the area of the scale drawing of the park is 146880 square inches.

2. The perimeter of the park can be calculated by summing up the lengths of all sides.

The lengths of the sides in feet would be:

Side1 = 28 inches * 1.5 feet/inch = 42 feet

Side2 = 40 inches * 1.5 feet/inch = 60 feet

Side3 = 16 inches * 1.5 feet/inch = 24 feet

Adding up all sides, we have:

Perimeter = Side1 + Side2 + Side3 = 42 feet + 60 feet + 24 feet = 126 feet

Therefore, the perimeter of the park is 126 feet.

3. To find the percentage length of the south side compared to the north side, we can calculate:

Percentage = (South Side Length / North Side Length) * 100

Using the scale, the length of the south side in feet would be:

South Side Length = 16 inches * 1.5 feet/inch = 24 feet

The length of the north side is already given as 40 inches * 1.5 feet/inch = 60 feet.

Plugging in the values, we have:

Percentage = (24 feet / 60 feet) * 100 = 40%

Therefore, the length of the south side of the park is 40% of the length of the north side.

Complete Question:

Mikea, an intern with the Parks and Recreation Department, is developing a proposal for the new trapezoidal Springdale Park. The figure below shows her scale drawing of the proposed park with 3 side lengths and the radius of the merry-go-round given in inches. In Mikea's scale drawing, 1 inch represents 1.5 feet.

1. What is the area, in square inches, of the scale drawing of the park? 448 544 H. 640 672 K. 1.088

2. Mikea's proposal includes installing a fence on the perimeter of the park. What is the perimeter, in feet, of the park? A. 84 B. 88 C. 104 D. 126 E 156

3. The length of the south side of the park is what percent of the length of the north side? F. 112% G. 1245 H. 142 J. 1754 K. 250%

To know more about area, refer here:

https://brainly.com/question/28513945

#SPJ4

\((\stackrel{x_1}{10}~,~\stackrel{y_1}{7})\hspace{10em} \stackrel{slope}{m} ~=~ -\cfrac{2}{5} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{7}=\stackrel{m}{-\cfrac{2}{5}}(x-\stackrel{x_1}{10})\)