how is the variable manufacturing overhead efficiency variance calculated?

=========================================

Work Shown:

To find the perimeter, we add up all the exterior side lengths.

P = perimeter

P = (side1) + (side2) + (side 3)

P = (2y-3x-3) + (12+5x+7y) + (9x-3y+2)

P = (-3x+5x+9x) + (2y+7y-3y) + (-3+12+2)

P = 11x + 6y + 11

The required scale factor with respect to the pre-image and image is equal to 2.

In Geometry, a scale factor is the ratio of two corresponding side lengths or diameter in two similar geometric figures, which can be used to either vertically or horizontally enlarge or reduce a function representing their size.

In Mathematics, the scale factor of any geometric figure can be calculated by using this mathematical expression:

Scale factor = Dimension of image/Dimension of pre-image

Substituting the given parameters into the scale factor formula, we have the following;

Scale factor = -10/-5 = -4/-2

Scale factor = 2.

Read more on scale factor here: brainly.com/question/7482670

#SPJ1

Answer: 2.8 minutes

Step-by-step explanation:

If it takes 12.5 gallons per minutes to fill the reservoir, then we have to divide 35 and 12.5.

35 ÷ 12.5 = 2.8 minutes

Since it takes 12.5 gallons per minutes to fill the reservoir, it will take 2.8 minutes to fill the reservoir.

hope this helps!

Answer:

A submarine descends at a rate of 2.6 kilometers per hour.

If the ocean floor is 6.24 kilometers below sea level, how long will it take the submarine to descend to the ocean floor?

Round your answer to the nearest tenth. Enter your answer in the box.

answer:

2.4

hours

Step-by-step explanation:

To solve the equation \(6sin^2(x)\) + 6sin(x) + 1 = 0, we can use algebraic methods and the unit circle to determine the values of x that satisfy the equation.

1. Start by rearranging the equation to a quadratic form: \(6sin^2(x)\) + 6sin(x) + 1 = 0.

2. Notice that the equation resembles a quadratic equation in terms of sin(x). Let's substitute sin(x) with a variable, such as u: \(6u^2\) + 6u + 1 = 0.

3. Solve this quadratic equation for u. You can use the quadratic formula or factorization methods to find the values of u. The solutions are u = (-3 ± √3) / 6.

4. Since sin(x) = u, substitute back the values of u into sin(x) to obtain the values for sin(x): sin(x) = (-3 ± √3) / 6.

5. To find the values of x, we can use the inverse sine function. Take the inverse sine of both sides: x = arcsin[(-3 ± √3) / 6].

6. The arcsin function has a range of [-π/2, π/2], so the values of x lie within that range. Use a calculator to find the approximate values of x based on the values obtained in step 5.

7. Plot the obtained x-values on the graph to show the solutions of the equation \(6sin^2(x)\) + 6sin(x) + 1 = 0. The graph will illustrate the points where the curve intersects the x-axis.

For more such questions on algebraic, click on:

https://brainly.com/question/4344214

#SPJ8

Answer:

20%

Step-by-step explanation:

in total there 100 pizzas each one is a percent and there are 20 mushroom so 20% is answer.

Given two predictor variables with a correlation of 0.32879, we should expect there to be multicollinearity between them.

In a data set with a, b, c, d, e, and f numeric variables, given there is a strong correlation of these pairs (f, a), (f, c), (d, e), (a, d), we can set up a regression model as

Of-a + c Of-a + b + c + d + e Of-a + C + d + e Of-a + C + e.

Given two predictor variables with a correlation of 0.32879, we should expect there is multicollinearity between them.

The statement that is true regarding the given two predictor variables with a correlation of 0.32879 is:

we should expect there to be multicollinearity between them.

Multicollinearity is a situation in which two or more predictor variables in a multiple regression model are highly correlated with one another. Multicollinearity complicates the understanding of which predictor variables are significant in the regression model's estimation.

Therefore, given two predictor variables with a correlation of 0.32879, we should expect there to be multicollinearity between them.

To know more about  multicollinearity visit:

https://brainly.in/question/7285022

#SPJ11

Answer:

4 small cars

7 large cars

Step-by-step explanation:

To determine the number of small cars rented and the number of large cars rented by the group of college students, we can set up and solve a system of equations.

Let x be the number of small cars.

Let y be the number of large cars.

If the students rented 3 more large cars than small cars, then:

\(y = x + 3\)

Given each small car can hold 4 people, each large car can hold 6 people, and the total number of people that the rented cars could hold is 58, then:

\(4x + 6y = 58\)

Therefore, the system of equations is:

\(\begin{cases} y = x + 3\\4x + 6y = 58\end{cases}\)

To solve the system of equations, substitute the first equation into the second equation and solve for x:

\(\begin{aligned}4x+6(x+3)&=58\\4x+6x+18&=58\\10x+18&=58\\10x&=40\\x&=4\end{aligned}\)

Substitute the found value of x into the first equation and solve for y:

\(y=4+3\)

\(y=7\)

Therefore, the number of cars rented was:

The probability that the second card is another 8 is  approximately 0.045

There are 52 cards in a standard deck, and after drawing the first card, there are only 51 cards remaining.

The probability of drawing an 8 as the first card is 4/52, since there are four 8s in the deck.

Since the first card is not replaced, there are only three 8s remaining in the deck.

Therefore, the probability of drawing another 8 as the second card, given that the first card is an 8 and was not replaced, is 3/51.

Thus, the probability that Sara draws the 8 of hearts as the first card and another 8 as the second card is

(4/52) x (3/51) = 0.0045

Learn more about probability here

brainly.com/question/11234923

#SPJ4

The given question is incomplete, the complete question is:

Sara draws the 8 of hearts from a standard deck of 52 cards. Without replacing the first card, she then proceeds to draw a second card. a. Determine the probability that the second card is another 8

Answer: p-12 would find how many points Jason scored

Step-by-step explanation

The perimeter of a rectangle with width (s+5t) cm and length (s+2t) cm is 4s + 14t cm.

The perimeter of a rectangle is the sum of the lengths of all four sides.

In this case, the width is given as (s+5t) centimeters and the length is given as (s+2t) centimeters.

So the expression for the perimeter, P, in centimeters, is:

P = 2(width + length)

= 2[(s+5t) + (s+2t)]

= 2[2s + 7t]

= 4s + 14t

Therefore, the expression for the perimeter of the rectangle is 4s + 14t.

In conclusion, the formula for finding the perimeter of a rectangle is the sum of the lengths of all four sides. Using the given width and length values, the expression for the perimeter of the rectangle is calculated to be 4s + 14t centimeters.

Learn more about rectangle here: brainly.com/question/29123947

#SPJ4

Complete question:

The width of a rectangle measures (s+5t) centimeters, and its length measures (s+2t) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?

Since a is a nilpotent matrix, it satisfies a^m = 0 for some m > 1. Therefore, the only eigenvalue of a is 0.

To prove that 0 is the only eigenvalue of a nilpotent matrix, let's assume that there exists a nonzero eigenvalue λ for a, such that a v = λ v for some nonzero vector v. We want to show that this assumption leads to a contradiction.

Since a is nilpotent, there exists an integer m > 1 such that a^m = 0. We can apply the power of a to both sides of the eigenvalue equation:

a^m v = (a a^(m-1)) v = a (a^(m-1) v) = a (λ^(m-1) v) = λ (a^(m-1) v) = λ (0) = 0.

We can simplify this equation by multiplying both sides by v:

a^m v = 0 implies a (a^(m-1) v) = 0 v.

Since v is nonzero, a^(m-1) v is also nonzero, which implies that a (a^(m-1) v) cannot be zero. However, we obtained a contradiction because we assumed a nonzero eigenvalue λ. Therefore, our assumption was incorrect, and the only eigenvalue of a nilpotent matrix is 0.

In conclusion, for a nilpotent matrix, the only eigenvalue is 0.

Learn more about matrix here: brainly.com/question/29132693

#SPJ11

D 1/3

The Coefficient of y/3 is 1/3

​

Answer:

1

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

64x64=4096

So its 64^2=4096

Answer:

x=2

Step-by-step explanation:

Given: 64ˣ=4096

Take the logarithm of each side: log₆₄(64ˣ)=log₆₄(4096)

Final answer: x=2

The shaded area is 0.0808, the area between z = -0.34 and z = 1.3 is approximately 0.9032 - 0.3665 = 0.5367.

Draw a standard normal curve and shade the area indicated. Then find the area of the shaded region. For this problem, we need to shade the area to the left of z = -1.4 on a standard normal curve.

Using a standard normal table, we can find that the area to the left of z = -1.4 is approximately 0.0808. Therefore, the shaded area is 0.0808. Draw a standard normal curve and shade the area indicated. Then find the area of the shaded region.

To solve this problem, we need to shade the area between z = -0.34 and z = 1.3 on a standard normal curve. Using a standard normal table, we can find that the area to the left of z = -0.34 is approximately 0.3665, and the area to the left of z = 1.3 is approximately 0.9032. Therefore, the area between z = -0.34 and z = 1.3 is approximately 0.9032 - 0.3665 = 0.5367.

Find the z-Score such that the area to the right of the z-score is 0.483. To find the z-score that corresponds to an area of 0.483 to the right of it on a standard normal curve, we need to look up the value in a standard normal table.

The area to the left of the z-score will be 1 - 0.483 = 0.517. Looking up this value in the standard normal table, we find that the corresponding z-score is approximately 0.05.

Find the Z-scores that separate the middle 92% of the data from the area in the tails of the standard normal distribution. We need to find the z-scores that correspond to the 4% area in the tails of the standard normal distribution.

Since the standard normal distribution is symmetric, each tail will have an area of 2%. Using a standard normal table, we can find that the z-score that corresponds to an area of 0.02 to the right of it is approximately 2.05. Therefore, the z-scores that separate the middle 92% of the data from the area in the tails are -2.05 and 2.05.

Find the value of Z0.20. It is not clear what is meant by "Z0.20". If this is meant to represent the z-score that corresponds to an area of 0.20 to the right of it on a standard normal curve, we can proceed as follows.

The area to the left of the z-score will be 1 - 0.20 = 0.80. Looking up this value in a standard normal table, we find that the corresponding z-score is approximately 0.84.

To know more about area click here

brainly.com/question/13194650

#SPJ11

The  cd = ab · (an integer), and so ab | cd by definition of divisibility.

The question wants us to prove the following statement using the definition of divisibility. For all integers a, b, c, and d, if aſc and bld, then ab|cd.Definition of divisibility: Let a and b be integers. We say that b divides a or b is a divisor of a if there exists an integer k such that a = bk.

If b divides a, then we write b | a.Let a, b, c, and d be any integers such that alc and b | d. Then by definition of divisibility, c = ar and d = bs for some integers r and s. Then cd equals the product of ab and a number that can be written in terms of r and s as follows:cd = ab · rs, which is an integer because products of integers are integers.

Learn more about Integer

brainly.com/question/15276410

#SPJ11

The equation of parabola is f ( x ) = -2 ( x + 5 )² - 3 and the vertex of the parabola is ( -5 , -3 )

A Parabola, open curve, a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone. A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line

The equation of the parabola is given by

( x - h )² = 4p ( y - k )

y = a ( x - h )² + k

where ( h , k ) is the vertex and ( h , k + p ) is the focus

y is the directrix and y = k – p

The equation of the parabola is also given by the equation

y = ax² + bx + c

where a , b , and c are the three coefficients and the parabola is uniquely identified

Given data ,

Let the equation of parabola be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = -2x² - 20x - 53   be equation (1)

On simplifying the equation , we get

A = -2x² - 20x - 50 - 3

Taking the common factor in the equation , we get

A = -2 ( x² + 10x + 25 ) - 3

On factorizing the equation , we get

A = -2 ( x + 5 )² - 3

So , the the equation of parabola is of the form y = a ( x - h )² + k

where ( h , k ) is the vertex and ( h , k + p ) is the focus

Therefore , the vertex of the parabola is ( -5 , -3 )

Hence , the equation of parabola is A = -2 ( x + 5 )² - 3

To learn more about parabola click :

https://brainly.com/question/24042022

#SPJ1

Answer:

True

Explanation:

Niko and Carlos are studying parallelograms and trapezoids. They agree that a parallelogram is a quadrilateral with two pairs of parallel sides. ... A trapezoid has one pair of parallel sides and a parallelogram has two pairs of parallel sides. So a parallelogram is also a trapezoid.

Answer:

Trapezoids have only one pair of parallel sides; parallelograms have two pairs of parallel sides. so no

Step-by-step explanation:

The relationship in the triangle that must be true is sin B = cos (90 - B).

option B.

Complementary angles are two angles that add up to 90 degrees. In other words, if you have two angles that are complementary, the measure of one angle added to the measure of the other angle will equal 90 degrees.

In the given diagram, angle A is complementary to angle B.

90 - B = A

From the diagram, Sin B = b/c

Cos (90 - B) = Cos A = b/c

So Cos (90 - B) is equal to sin B because the two angles are complementary.

Learn more about complementary angles here: https://brainly.com/question/16281260

#SPJ1

Sallie needs to invest roughly $6,940.83 for a 12-year return of $10,000 on her money. This is $6,940.84 (rounded to the closest penny).

We can use the formula for compound interest:

\(A = P * (1 + r/n)^(n*t)\)

where

We can rearrange the formula to solve for P:

\(P = A / (1 + r/n)^(n*t)\)

Plugging in the values, we get:

\(P = $10,000 / (1 + 0.03/52)^(52*12)\)

\(P = $10,000 / (1.00576923077)^(624)\)

\(P = $10,000 / 1.44062674109\)

\(P = $6,940.83\)

Therefore, Sallie needs to invest roughly $6,940.83 for a 12-year return of $10,000 on her money. This is $6,940.84 (rounded to the closest penny).

Learn more about compound interest here : brainly.com/question/2455673

#SPJ1

The transformation rule (x, y) → (x, - y) is used to transform the point (x, y) = (4, 8) into the point (4, - 8).

In this problem we have the location of the original point, whose image has to be found by means of transformation rules, that is, transformations that modify the features of a geometric locus. In this we must determine the kind of reflection use to transform from the point (4, 8) into the point (4, - 8).

By direct inspection, the kind of transformation rule used is defined below:

(x, y) → (x, - y)

(4, 8) → (4, - 8)

The transformation rule used is (x, y) → (x, - y), that is behind the transformation of the point (4, 8) into the point (4, - 8).

To learn more on transformation rules: https://brainly.com/question/21298384

#SPJ1

A equation of the tangent line to the curve is y = 3x + 3

The term tangent line in math is calculated as an equation of the tangent line we have to find the derivative of the function and its value at the given point.

And then we have to the function given is a product of an exponential and cosine function. We will have to use product rule.

Finally, we have to write the equation of tangent line by point slope form.

Here we have the curve equation as,

=> y = 3eˣcos(x)

Now, we have to calculate the derivative y' from the given equation, then we get,

=> y' = = 3(eˣ (−sin x) + (cos x) eˣ)

Now, it can be simplified as,

=>y' = 3eˣ(cos x − sin x)

Here we have given that the the slope of the tangent line at (0, 3), then the value of

=> 3e⁰(cos0−sin0) = 3(1−0) = 3

Then the equation is written as

=> y − 3 = 3(x − 0)

=> y = 3x + 3

To know more about Equation here.

https://brainly.com/question/10413253

#SPJ4

Answer:

C: 108 cans

Step-by-step explanation:

just trust me bro

Answer:

17.6

Step-by-step explanation:  Rounded to the nearest 0.1 or

the Tenths Place.

The percentage of his salary that he saves is the 46%

Let's say that the total salary is S, that is the 100% of the his salary.

First, we know that he spends 4% on his house and food, and 4/8 in other expenses.

First, let's write the fraction as a percentage, to do that, just multiply it by 100%.

We will get:

P = (4/8)*100% = 1/2*100% = 50%

Then the amount that he sabes is the total amount minus the two percentages that we know he uses, it is:

p = 100% - 50% - 4%

p = 46%

That is the percentage he saves.

Learn more about percentages at:

https://brainly.com/question/843074

#SPJ4

Since the culture is observed to double every 6 hours, we know that the growth rate is constant at r = ln(2)/6 per hour.

To calculate growth rates, divide the difference between the starting and ending values for the period under study by the starting value. The most frequent time intervals for growth rates are annually, quarterly, monthly, and weekly.

We can use the formula for exponential growth to model the number of bacteria in the culture after t hours:

n(t) = n0e^(rt)where n0 is the initial number of bacteria.

Substituting in the values given in the problem, we get:

n(t) = 25e^[(ln(2)/6)t]Simplifying this expression using the properties of logarithms, we can rewrite it in the form:

n(t) = 25(2)^(t/6)This is the exponential model for the number of bacteria in the culture after t hours.

To know more about  growth rate visit:

https://brainly.com/question/23879811

#SPJ4

The exponential model for population of bacteria, \(n(t) = n_0{2}^{\frac{t}{a} }\) can be written \(n(t) = 25 \times {2}^{\frac{t}{6} }\) for the number of bacteria in the culture after t hours. The estimate number of bacteria after 13 hours is equals to the 112. In 92 hours, the bacteria count will reach to 1 million.

We have a certain culture of the bacterium Rhodobacter.

Initial population, n₀ = 25

The population become doubles in every 6 months. The exponential model

\(n(t) = n_0{2}^{\frac{t}{a} }\) for the number of bacteria in the culture after t hours. Now, the population become double in 6 hours, so a = 6 , then exponential equation is \(n(t) = 25 \times {2}^{\frac{t}{6} }\).

We have to estimate the number of bacteria after 13 hours. That is t = 13 hours, \(n( t) = 25( 2)^{\frac{t}{6}}\)

Substitute t = 13 hours

\( = 25( 2)^{\frac{13}{6}}\)

\(= 25( 2)^{2.16}\)

= 111.728713807 ~ 112

So, n(13) = 112

We have to determine the value of t in hours for n(t) = 1 million = 1000000, using the above equation, \(1000000 = 25( 2)^{\frac{t}{6}}\)

\(40000 = ( 2)^{\frac{t}{6}}\)

Taking natural logarithm both sides

=>\( ln( 40000) = ln(( 2)^{\frac{t}{6}})\)

=> \(ln(40000) = \frac{t}{6} ln(2)\)

=> \(t = \frac{6 ln( 40000)}{ ln(2)}\)

= 91.7262742773 ~ 92

Hence, required value is 92 hours..

For more information about exponential model, visit:

https://brainly.com/question/29527768

#SPJ4

Hello!

In order to solve this equation,we must first find out what distance is being traveled in 4 hours. If we travel 4 hours, at a constant speed of 60 miles,we must multiple those two numbers to find the distance travelled.

60x4 is 240.

This means we must divide 240 by 3 hours to find our constant rate of speed.

240 divided by 3 is 80.

This means, we would need to travel 80 mph to arrive to the same location in three hours.

x=80.

Hope this helps & good luck.

Answer:

The equation that can be used to find its speed (x) to cover the same distance is f(x) = x + 60

Step-by-step explanation:

First off, let's gather what we know. The car will take 4 hours to cover a distance if it is going 60 mph. We need the car to be a speed where it can cover the same distance within 3 hours.

THe first step to solving this problem is dividing 60 by 4 to see how much the speed of the car should increase in order to travel the same distance within 3 hours.

60/4 = x

We need to add x to the original speed of 60 mph.

Therefore, the equation that can be used to find its speed (x) to cover the same distance is f(x) = x + 60

Therefore, the equation that can be used to find its speed (x) to cover the same distance is f(x) = x + 60

Hope this helps! :)

To  plot the point (-6 2 , -6 2 ), we locate the x-coordinate -6 on the x-axis and then move upwards to the point where the y-coordinate is -2 on the y-axis.

When we are given the rectangular coordinates of a point, we can easily plot it on a graph. The rectangular coordinates of a point are in the form (x,y), where x represents the horizontal distance of the point from the origin, and y represents the vertical distance of the point from the origin.

In this case, the rectangular coordinates of the point are given as (-6 2 , -6 2 ). This means that the point is located 6 units to the left of the origin, and 2 units above the origin on the y-axis.

To plot this point on a graph, we can simply locate the x and y coordinates on their respective axes and mark the point of intersection.

First, we locate the x-coordinate -6 on the x-axis and then move upwards to the point where the y-coordinate is -2 on the y-axis. We mark this point with a dot and label it as (-6 2 , -6 2 ). This represents the point that is 6 units to the left of the origin and 2 units above the origin.

In summary, We mark this point with a dot and label it as (-6 2 , -6 2 ). This is how we can plot a point given its rectangular coordinates on a graph.

To learn more about : x-coordinate

https://brainly.com/question/28821617

#SPJ11

The plotted point would be located at (-6, 2) on the rectangular coordinate plane.

To plot the point with rectangular coordinates (-6, 2), follow these steps:

To plot the point (−6 2, −6 2 ) with rectangular coordinates, start at the origin (0,0) and move 6 units to the left along the x-axis, then 2 units up along the y-axis to locate the point.
1. Begin at the origin (0, 0) on the coordinate plane.
2. Move 6 units to the left along the x-axis, since the x-coordinate is -6.
3. Move 2 units up along the y-axis, since the y-coordinate is 2.
4. Mark the point at the intersection of these coordinates with a dot or small circle.

The point (-6, 2) has now been plotted on the rectangular coordinate plane.

Learn more about Coordinate:

brainly.com/question/16634867

#SPJ11

The number of students that are science majors can be thought of as a binomial random variable because:

1. There are a fixed number of trials (students) in the sample.
2. Each trial (student) has only two possible outcomes: being a science major or not being a science major.
3. The probability of success (being a science major) remains constant for each trial (student).
4. The trials (students) are independent of each other, meaning the outcome for one student does not affect the outcomes of the other students.

These four characteristics satisfy the conditions of a binomial random variable, which is why the number of science majors among a group of students can be modeled using a binomial distribution.

To know more about "Random variable" refer here:

https://brainly.com/question/31108722#

#SPJ11

Chance is a term used to represent the percentage of time a specific result is expected to occur when the same basic procedure is repeated over and over again, where each repetition is independent.

Chance is a term that is used to describe the probability that a certain outcome will occur given a set of fundamental instructions repeated again with each repetition being independent.

Ultimately, this means the number of times a result of an event occurs when repeated over a number of times is chance.

Read more on chance:

https://brainly.com/question/30820369

#SPJ1