remember that percentages are based on one-hundredths. the value 100% one-hundredths or 100/100. the value of 50% equals 50/100 which can also be written as a decimal 0.50%. The value of 5% equals 5/100 or 0.005. Convert the following percentages into one-hundredths and then into a decimal: 75%, 20%, 0.8%?

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.

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Answer:

Step-by-step explanation:

28

so the answer is 4

how to get the answer

\((-24)\) ÷ \(-6+10\)

take the last part

\(-6+10\)

and you would solve that

it would be 4

Answer:

171/400 or 0.4275

Step-by-step explanation:

multiply the expressions and simplify

The expression equal to 8 × 10 5 squared is 64 × 10^10

Scientific notation is a mathematical way of expressing numbers that are too large or small to be written in decimal form.

Given the expression;

(8 × 10^ 5)²

expand the bracket

(8)² × (10)^ 5× 2

Find the squares

64 × 10^10

This is expressed as;

64 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10

Thus, the expression equal to 8 × 10 5 squared is 64 × 10^10

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Answer:72x3=216

72x7=504

504-216=288

Step-by-step explanation:

The cost to cover for the entire garden will be $475.

The area of the circular garden will be:

= πr² = 3.14 × 11 × 11 = 379.94

Therefore, the cost for the entire garden will be:

= 379.94 × 1.25

= 475

In conclusion, the correct option is $475.

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If the power of an engine and the duration of its operation are known, it is possible to calculate the total work done by the engine.

Work is the product of power and time and represents the amount of energy transferred or converted by the engine. By multiplying the power of the engine by the time it operates, you can determine the work done.

In physics, power is defined as the rate at which work is done or energy is transferred. It is measured in units of watts (W). By multiplying the power of an engine, expressed in watts, by the duration of its operation, measured in seconds, you obtain the work done by the engine in joules (J).

This calculation assumes that the power remains constant throughout the operation. The work done by the engine represents the energy output and can be used to evaluate the performance or efficiency of the engine.

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Answer:

it's b

I hope this helps for your question

in the linear equation, the pounds of oranges would be the independent variable, and the cost of the oranges would be the dependent variable.

In this scenario, the independent variable is the pounds of oranges, while the dependent variable is the cost of the oranges.

The independent variable is the one that can be changed or controlled, and in this case, it is the pounds of oranges. Hector can choose the amount of oranges he wants to purchase.

The dependent variable is the one that is influenced by the independent variable, and in this case, it is the cost of the oranges. The cost of the oranges depends on the weight that Hector decides to buy.

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Answer:

It’s (20) hope this helps

Step-by-step explanation:

The value of x is 20.

Polygon which has three sides and three vertices is called as triangle.

Sum of all the angles of the triangle is 180°.

Given, line AE is an angle bisector of BAC.

In the triangle ABC:

Line AE bisects ∠BAC into two equal angle.

That means, ∠BAE = ∠EAC

And the angle measure is given.

So,  mBAE = mEAC,

x +30 = 3x - 10

3x-x = 30+10

2x = 40

x = 20

Therefore, the value of x is 20.

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Montag serves as a metaphor for free thought in Fahrenheit 451. Guy doesn't fit in with society as Beatty or Mildred do.

Although the parallels are subtle, there are some similarities between the modern world and the setting of "Harrison Bergeron" in the narrative. Egality is a topic that both of them address and that has issues and effects. Another resemblance is the conflict that results from competition and attempts to stop it from happening, both of which cause issues.

The manipulative and desensitizing impact of the mass media is one political practice in American culture that the short story "Harrison Bergeron" might be seen as an oblique indictment of. overregulation of some human actions. restricting freedom of speech

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Step-by-step explanation:

x² - 9

1. There is no common factor other than 1.

2. √x² = x; √9 = 3

3. a = x; b = 3

4. x² - 9 = (x - 3)(x + 3)

Selling price of a bicycle = 2850

Profit percentage = 14%

We know that :

\(\color{plum}\tt{Cost \: \: price = \frac{Selling \: \: price \: \times \: 100}{100 \: \: + \: \: profit \: \%} }\)

Then, the cost price of this bicycle :

\( = \tt \frac{2850 \times 100}{100 + 14} \)

\( = \tt \frac{285000}{114} \)

\( =\color{plum} \tt2500\)

Thus, the cost price of this bicycle = 2500

In another scenario :

Profit percentage = 8%

Cost price of the bicycle = 2500

Then, Selling price will be equal to :

Let x be the selling price of the bicycle.

\( = \tt2500 = \frac{\: x \: \times 100}{100 + 8} \)

\( = \tt2500 = \frac{100x}{108} \)

\( =\tt 100x = 2500 \times 108\)

\( = \tt100x = 270000\)

\( =\tt x = \frac{270000}{100} \)

\( =\color{plum}\tt x = 2700\)

Therefore, the selling price with a profit of 8% will be = 2700

The partial derivative diffusivity equation for spherical flow is ∂²p/∂r² + (1/r) ∂p/∂r = ϕμC/k ∂p/∂t, and for hemispherical flow, it is the same equation.

1. The partial derivative diffusivity equation for spherical flow is derived from the spherical coordinate system and applies to radial flow in a spherical geometry. It can be expressed as ∂²p/∂r² + (1/r) ∂p/∂r = ϕμC/k ∂p/∂t.

2. The partial derivative diffusivity equation for hemispherical flow is derived from the hemispherical coordinate system and applies to radial flow in a hemispherical geometry. It can be expressed as ∂²p/∂r² + (1/r) ∂p/∂r = ϕμC/k ∂p/∂t.

1. For the derivation of the partial derivative diffusivity equation for spherical flow, we consider a spherical coordinate system with the radial direction (r), the azimuthal angle (θ), and the polar angle (φ). By assuming steady-state flow and neglecting the other coordinate directions, we focus on radial flow. Applying the Laplace operator (∇²) in spherical coordinates, we obtain ∇²p = (1/r²) (∂/∂r) (r² ∂p/∂r). Simplifying this expression, we arrive at ∂²p/∂r² + (1/r) ∂p/∂r.

2. Similarly, for the derivation of the partial derivative diffusivity equation for hemispherical flow, we consider a hemispherical coordinate system with the radial direction (r), the azimuthal angle (θ), and the elevation angle (ε). Again, assuming steady-state flow and neglecting the other coordinate directions, we focus on radial flow. Applying the Laplace operator (∇²) in hemispherical coordinates, we obtain ∇²p = (1/r²) (∂/∂r) (r² ∂p/∂r). Simplifying this expression, we arrive at ∂²p/∂r² + (1/r) ∂p/∂r.

In both cases, the term ϕμC/k ∂p/∂t represents the source or sink term, where ϕ is the porosity, μ is the fluid viscosity, C is the compressibility, k is the permeability, and ∂p/∂t is the change in pressure over time.

These equations are commonly used in fluid mechanics and petroleum engineering to describe radial flow behavior in spherical and hemispherical geometries, respectively.

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The maximum burn rate ∣ΔM/Δt∣ that the engine could reach before the ship's acceleration exceeded 5 g and its human occupants began to lose consciousness is approximately 51.0 kg/s.

Acceleration is directly proportional to the force acting on an object. In simple terms, if the force on an object is greater, then it will undergo more acceleration. However, there are limitations to the acceleration that can be tolerated by the human body. At about 5 g (49.0 m/s2) for more than a few seconds, an average person starts to lose consciousness. Let's use this information to answer the given question.

Let the maximum burn rate |ΔM/Δt| that the engine could reach before the ship's acceleration exceeded 5 g be x.

Let the mass of the spaceship be m and the exhaust speed of the engine be v.

Using the formula for the thrust of a rocket,

T = (mv)e

After substituting the given values into the formula for thrust, we get:

T = (3.00 × 104)(2.50 × 103) = 7.50 × 107 N

Therefore, the acceleration produced by the engine, a is given by the formula below:

F = ma

Therefore,

a = F/m= 7.50 × 107/3.00 × 104= 2.50 × 103 m/s²

The maximum burn rate that the engine could reach before the ship's acceleration exceeded 5 g is equal to the acceleration that would be produced by a maximum burn rate. Therefore,

x = a/5g= 2.50 × 103/(5 × 9.8)≈ 51.0 kg/s

Therefore, the maximum burn rate ∣ΔM/Δt∣ that the engine could reach before the ship's acceleration exceeded 5 g and its human occupants began to lose consciousness is approximately 51.0 kg/s.

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answer:

∠B = 70°

step-by-step explanation:

∠A = ∠B

8x + 6 = 4x + 38

4x + 6 = 38

4x = 32

x = 8

4(8) + 38

32 + 38

= 70

1. The values which the given number sentences true are:

a) 11 b) 5 c) 36

2. After substituting the value of  x we get the value for y as :

a) 6 b) 0 c) 7 d) 15

3. The number sentences are :

a) x ₋ y = 25

b) 5 × p = q ÷ 2

c) 2y ₋ 14 = 6

d) 15 × 4 = 4 ₋ (x₊y)

Given in the first bit we need to find the variables:

a) h ₊ 8 = 19

arrange the constants on one side.

h = 19 ₋ 8

h = 11

b) 2p ₋ 6 = 4

arrange the constants on one side.

2p = 4 ₊ 6

2p = 10

p = 10/2

p = 5

c) 1/3 y = 12

cross multiply.

y = 36

Now in the second exercise we are asked to substitute the x value and get the value of y.

a) y = 3x ₊ 2 if x =8

substitute x value in the equation.

y = 3(8) ₊ 2

y = 24 ₊ 2

y = 26

b) y = 4x ₋ 1 if  x = 1/4

y = 4(1/4) ₋ 1

y = 1 ₋ 1

y = 0

c) y = 0.2x ₊ 5 if x = 10

y = 0.2(10) ₊ 5

y = 2 ₊ 5

y = 7

d) y = 10x ₊ 12 if x = 0.3

y = 10(0.3) ₊ 12

y = 3 ₊ 12

y = 15

In the last third bit we need to frame equations for the given word problems.

a) The difference between two numbers is 25.

let the two numbers be x and y.

x ₋ y = 25.

b) The product of 5 and p is equal to quotient of q and 2.

5 × p = q ÷ 2

c) The difference between 14 and 2y is equal to 6.

2y ₋ 14 = 6

d) The product of 15 and 4 is equal to four less than the sum of x and y.

15 × 4 = 4 ₋ (x₊y)

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Answer:

x=5

Step-by-step explanation:

7x+15-9x=5

-2x+15=5

-2x=-10

x=5

Answer:

X = 5

Step-by-step explanation:

First expand, 7x + 15 - 9x = 5

Simplify, -2x + 15 = 5

Additive property of Addition/Subtraction , (-2x + 15) - 15 = (5) -15

Simplify, -2x = -10

Divide by -2, (-2x)/-2 = (-10)/-2

Simplify, x = 5

Substitution for checking your answer, 7(5) + 3(5-3(5)) = 5

35 + (15-45), simplify, 35 - 30 = 5

Thus the final answer can be concluded as X = 5

The truth table for  ~r∨(~p∧q) can be found in the image attached

A truth table is a table for evaluating the truth value of a truth-functional compound sentence on the basis of the truth value of its part

We construct truth tables for negation, conjunction and disjunction as shown below:

Negation

p     ......    ~p

T                F

F                T

Conjunction

p  ..... q  ..... p ^ q

T        T         T

T        F         F

F        T         F

F         F        F

Disjunction

p  ..... q  ..... p v q

T        T         T

T        F         T

F        T         T

F         F        T

Note:

T and F stand for True and False respectively.

In conjunction, the two inputs must be True for the output to be true. In disjunction, if one of the inputs is true then the output will be True.

Negation reverses the input i.e if the input is True, the output will be False. The symbol for negation is  ~ i.e the negation of p is  ~p

Therefore, the truth table for ~r∨(~p∧q) is as shown in the image attached

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The magnitude of the vector sum (A + B) is approximately 4.974.

To find the magnitude of the vector sum (A + B), we need to add the corresponding components of vectors A and B and then calculate the magnitude of the resulting vector.

Given:

Vector A: (5.1, 0)

Vector B: (-2.6, -4.3)

To find the vector sum (A + B), we add the corresponding components:

(A + B) = (5.1 + (-2.6), 0 + (-4.3))

= (2.5, -4.3)

Now, let's calculate the magnitude of the vector (2.5, -4.3):

Magnitude = sqrt((2.5)^2 + (-4.3)^2)

= sqrt(6.25 + 18.49)

= sqrt(24.74)

≈ 4.974

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The data can be tallied into a frequency distribution using a class interval of 100 and a starting point of 0.

To create a frequency distribution, we group the data into intervals or classes and count the number of data points falling within each interval. The class interval represents the range of values covered by each class, and the starting point determines the first interval.

Here is an example of how the data can be tallied into a frequency distribution using a class interval of 100 and a starting point of 0:

```

Class Interval    Frequency

0 - 99            12

100 - 199         18

200 - 299         24

300 - 399         15

400 - 499         10

500 - 599         8

600 - 699         5

700 - 799         3

800 - 899         2

900 - 999         1

```

In this frequency distribution, the data is divided into classes based on the class interval of 100. The first class, from 0 to 99, has a frequency of 12, indicating that there are 12 data points falling within that range. The process is repeated for each subsequent class interval, resulting in a frequency distribution table.

By organizing the data into a frequency distribution, we gain insights into the distribution and patterns within the dataset. It provides a summarized view of the data, allowing us to identify the most common or frequent values and analyze the overall distribution.

In summary, the data has been tallied into a frequency distribution using a class interval of 100 and a starting point of 0. The frequency distribution table presents the number of data points falling within each class interval, enabling a better understanding of the distribution of the data.

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The angle β, given the terminal point(sqrt(2)/2, sqrt(2)/2) on a unit circle, is equal to π/4 radians or 45 degrees.

To determine the angle β given the terminal point on a unit circle, we can use the trigonometric functions sine and cosine.

The terminal point of β is (sqrt(2)/2, sqrt(2)/2). Let's denote the angle β as the angle formed between the positive x-axis and the line connecting the origin to the terminal point.

The x-coordinate of the terminal point is cos(β), and the y-coordinate is sin(β). Since the terminal point issqrt(2)/2, sqrt(2)/2). we have:

cos(β) = sqrt(2)/2

cos(β) = sqrt(2)/2

We can recognize that sqrt(2)/2 is the value of the cosine and sine functions at π/4 (45 degrees) on the unit circle. In other words, β is equal to π/4 radians or 45 degrees.

So, β = π/4 or β = 45 degrees.

In summary, the angle β, given the terminal point (sqrt(2)/2, sqrt(2)/2) on a unit circle, is equal to π/4 radians or 45 degrees.

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Answer:

s for length of either equal side

b for the unequal side

b=-2+2*(s+s) and 2s+b=40

b=2*2s-2

b=4s-2

2s+4s-2=40

6s-2=40

6s=42

s=7

b=4*7-2

b=28-2

b=26

Answer:

Step-by-step explanation:

Given function:

The complete video games can be expressed as positive integers or whole numbers, so the domain is whole numbers.

Correct choice is (4)

Answer:

Whole Number

Explanation:

Domain : The set of all the input values (i.e. the value of x ) in the function is called domain

The daily cost of production in a video game factory is calculated using c(x) = 400 + 25x

Cost expression : C(x) = 400 + 25x

Cost expression : C(x) = 400 + 25x

As x defines the number of complete video, since number of video cannot be negative.

1) Integers : integers are the numbers which can be positive, negative or zero, but cannot be a fraction

As, number of videos cannot be negative

so, x cannot be any integers

So, Integers is not the domain

2) Positive real numbers : Real numbers are the numbers which include both rational and irrational numbers.

As the x represent the complete number of video games, thus, x cannot be irrational

Hence, Positive real numbers is not the domain

3) Positive Rational Number : a number is expressed in the form of p/q then it is a rational number

The number of videos are in the complete number, so a fraction cannot be a complete number, thus, rational number cannot be a domain.

4) Whole Number : Whole numbers include natural numbers that begin from 1 onwards

As Numbers of videos are the complete number, and they are always positive, which is the defination of whole number, Domain is whole number

Answer:

linear, 264*2 = 528

Step-by-step explanation:

The length of the rectangular box will be 2.03 cm. Then the correct option is C.

Let the prism with a length of L, a width of W, and a height of H. Then the volume of the prism is given as,

V = L x W x H

The volume of a rectangular box is 109.86 cubic centimeters. The prism's breadth is 13.2 cm. The prism stands 4.1 cm tall.

The length of the rectangular prism is given as,

109.86 = L x 13.2 x 4.1

109.86 = 54.12L

L = 109.86 / 54.12

L = 2.03 cm

The length of the rectangular box will be 2.03 cm. Then the correct option is C.

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Answer:

Step-by-step explanation:

To determine what was her gas mileage, divide the total miles driven by the gallons of gas;