Hahn Company uses a job-order costing system. Its plantwide predetermined overhead rate uses direct labor-hours as the allocation base. The company pays its direct laborers $18,50 per hour. During the year, the company started and completed only two jobs-- Alpha, which used 62,300 direct labor-hours, and Job Omega. The job cost sheets for the these two jobs are shown below.

Answer:

Lucy cuts 4 squares with side length x in. from the corners of a 6 in. by 9 in. cardboard rectangle. She folds the remaining cardboard to make a tray that is x in. high. Write and simplify a polynomial function for the volume V

Step-by-step explanation:

9v

The polynomial function for the volume V of the tray in terms of x will be;

⇒ 4x³ - 30x² + 54x

What is Function?

A relation between a set of inputs having one output each is called a function.

Given that;

Lucy cuts 4 squares with side length x inch from the corners of a 6 inch by 9 inch cardboard rectangle.

She folds the remaining cardboard to make a tray that is x inch high

Now,

By the give condition we get;

Length of tray = 9 - 2x

Width of tray = 6 - 2x

Height of tray = x

So., The volume of the tray is expressed as;

Volume = x (9 - 2x) (6 - 2x)

             = x (54 - 18x - 12x + 4x²)

             = x (54 - 30x + 4x²)

             = 4x³ - 30x² + 54x

Thus, The polynomial function for the volume V of the tray in terms of x will be;

⇒ 4x³ - 30x² + 54x

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Answer:

which angle relarion send angle photo also

Answer:

Real distance = 84 meter

Step-by-step explanation:

Given:

Map distance = 6 inches

Map scale 1/4 inch = 3.5 m

Computation:

0.25 inches = 3.5 m

Computation:

Real distance = 6/0.25[3.5]

Real distance = 24[3.5]

Real distance = 84 meter

Answer:

34

Step-by-step explanation:

62-35=17

17/.50=34

Answer:

b=−12

Step-by-step explanation:

Answer:

Option E

Step-by-step explanation:

please mark me braibliest

Answer:

d? im probably not correct

Step-by-step explanation:

Answer:

Please check the explanation.

Step-by-step explanation:

Given the expression

[tex]\left(5.91\times \:10^{-3}\right)-\left(8.7\times \:10^{10}\right)[/tex]

[tex]\mathrm{Remove\:parentheses}:\quad \left(a\right)=a[/tex]

[tex]=5.91\times \:10^{-3}-8.7\times \:10^{10}[/tex]

as

[tex]5.91\times \:10^{-3}[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}[/tex]

[tex]=5.91\times \frac{1}{10^3}[/tex]

[tex]=\frac{5.91}{1000}[/tex]

[tex]=0.00591[/tex]

similarly

[tex]8.7\times \:10^{10}[/tex]

Convert element to a decimal form

[tex]10^{10}=10000000000[/tex]

so

[tex]=10000000000\times \:8.7[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:8.7\times \:10000000000=87000000000[/tex]

[tex]=87000000000[/tex]

Thus, the expression becomes

[tex]\left(5.91\times \:\:10^{-3}\right)-\left(8.7\times \:\:10^{10}\right)=5.91\times \:\:10^{-3}-8.7\times \:\:10^{10}[/tex]

                                                [tex]=0.00591-87000000000[/tex]

                                                [tex]=-86999999999.9941[/tex]

Hence,

converting -86999999999.9941 in a scientific notation

In order to make our job easier we will remove the sign "-" from number -86999999999.9941 (we will write "-" at the final solution). So after this step we have:

−86999999999.9941  ⟶  86999999999.9941

In order to write number 86999999999.9941 in scientific notation, we need to move the decimal point from its current location (black dot) to the new position such as:

8.6999999999.9941

So, we need to move the decimal point 10 places to the right.

This means that the power of 10 will be positive 10.

Now we have that the

Number part = 8.69999999999941 and

Exponent part = 10

Thus, we conclude that:

−86999999999.9941 = − 8.69999999999941 × 10¹⁰

Answer:

Multiply by 100

Step-by-step explanation:

The equation is given as:

-m + 0.02 + 2.1m = -1.45 - 4.81m

To eliminate the decimals from all the terms, we must multiply by a number that make all the coefficients integers.

The decimal coefficients and independent terms are

0.02, 2.1, 1.45, 4.81

Note the maximum number of decimals found in all of them is 2. Thus, multiplying by 100 all the decimals will vanish as follows:

100(-m + 0.02 + 2.1m) = 100(-1.45 - 4.81m)

-100m + 2 + 210m = -145 - 481m

Now all terms have integer coefficients as required.

Answer: Multiply by 100

Answer:

C. 3h - 6

Step-by-step explanation:

Answer:

if the line keeps going and theynever touch

Step-by-step explanation:

Answer:

Two lines are parallel when are side by side and if the lines kept on going, they would never collide with each other

Step-by-step explanation:

Answer:

slope: -1/3     y intercept: 2

Step-by-step explanation:

I'm also in Algebra 1 and I'm not completely sure.

Answer:

72 pies

Step-by-step explanation:

24 pies + 48 pies = 72 pies

Answer:

-20x + 15

Step-by-step explanation:

Answer:  -20x + 15

Step-by-step explanation:  

5(x + 3 - 5x)

5(-4x +3)

5(-4x +3)

Answer:

Na20+H20 -> 2NaOH

Step-by-step explanation:

Answer:

-4,365

Step-by-step explanation:

Answer:

No solutions

Step-by-step explanation:

In this question, you would be solving for x.

Solve:

5 + 2(3 + 2x) = x + 3(x + 1)

Use the distributive property.

5 + 6 + 4x = x + 3x + 3

Combine like terms.

11 + 4x = 4x + 3

Subtract 4x from both sides.

11 = 3

Since we don't have an "x value", there are no solutions.

"No solutions" would be your answer.

Answer:

32 books each

Step-by-step explanation:

Answer:the answer is D

Step-by-step explanation:

The simplified expression for the given algebraic expression [tex]a^{2} c^{2} -b^{2} c^{2} -4a^{2} d^{2} +4b^{2} d^{2}[/tex] is [tex](a+b)(a-b)(c+2d)(c-2d)[/tex]

As per the question statement, we are given an algebraic expression

[tex]a^{2} c^{2} -b^{2} c^{2} -4a^{2} d^{2} +4b^{2} d^{2}[/tex] and we are supposed to solve and simplify it.

Solution:

[tex]a^{2} c^{2} -b^{2} c^{2} -4a^{2} d^{2} +4b^{2} d^{2}\\c^{2} (a^{2} -b^{2})-4d^{2}(a^{2} -b^{2})\\(a^{2} -b^{2})(c^{2}-4d^{2})\\(a^{2} -b^{2})(c^{2}-(2d)^{2})\\[/tex]

Have used Distributive property for solving and simplifying the above algebraic expression.

Now using the property, [tex]a^{2} -b^{2} =(a+b)(a-b)[/tex]

We get,

[tex](a+b)(a-b)(c+2d)(c-2d)[/tex]

Therefore [tex](a+b)(a-b)(c+2d)(c-2d)[/tex] is our required answer.

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Answer: 2

Step-by-step explanation:

y=mx + b

plug in known values

-2= (-1)(4) + b

b= 2

Equation: y= -x+2

graph and locate the x-intercept

Answer: The slope is 2/3, y=2/3x+1

Step-by-step explanation: The 2 points, (3,3) and (6,5), use the method y2-y/x2-x1. Then you find the slope that way, then use point slope form for the slope intercept form: y-y1=m(x-x1), then substitute and solve to get y=2/3x+1

Answer:

it 21

Step-by-step explanation:

its 21

Answer:21

Step-by-step explanation:

Answer:

LN i think.. i'm not sure tho

Step-by-step explanation:

Answer: p= (-0.10)x + 31

Step-by-step explanation:

m is the slope, and we know that each time they need to drop $0.10 so that is our slope. For the b we just need to get $0.10 times 260 cards that need to sell and add 5 and we get 31. So, the equation is p= (-0.10)x + 31.

Thank you if you can give me the brainliest.

Given that,

Total no of cards = 20

The ratio of animal cards to fruit cards is 2:3

No of animal cards = 20

Solution,

Let there are 2x animal cards and 3x fruit cards. ATQ,

2x+3x = 20

5x = 20

x = 4

Animal cards = 2x

= 2(4)

= 8

Fruit cards = 3x

= 3(4)

= 12

It is also mentioned that, of the cards, 1/3 have bananas on them. It means,

[tex]B=\dfrac{1}{3}\times 12\\\\=4[/tex]

Hence, 4 cards have bananas on them.

Given:

Length of a carton = [tex]2\dfrac{2}{3}[/tex] feet

Width of a carton = [tex]1\dfrac{1}{8}[/tex] feet

Height of a carton = [tex]1\dfrac{1}{5}[/tex] feet

To find:

The volume of the carton.

Solution:

We know that, volume of the carton is

[tex]V=length\times width \times height[/tex]

Putting the values, we get

[tex]V=2\dfrac{2}{3}\times 1\dfrac{1}{8} \times 1\dfrac{1}{5}[/tex]

[tex]V=\dfrac{(2\times 3)+2}{3}\times \dfrac{(1\times 8)+1}{8} \times \dfrac{(1\times 5)+1}{5}[/tex]

[tex]V=\dfrac{8}{3}\times \dfrac{9}{8} \times \dfrac{6}{5}[/tex]

Taking LCM, we get

[tex]V=\dfrac{18}{5}[/tex]

[tex]V=3\dfrac{3}{5}[/tex]

So, the volume is [tex]3\dfrac{3}{5}[/tex] cubic feet.

Therefore, the correct option is A.

Answer:

-60

Step-by-step explanation:

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