If coal is mined at $35.99 per short ton, how much is the price per kg? Use dimensional analysis to solve. 1 short ton = 907 kg. Round to the thousandths place and include units in your answer.

Answer:

-5 ; -3 ; -1.5 ; 0 ; 11 (**Quotient order**) -30/6 ; 21/-7 ; - (-3/-2) ; 0/-20 ; -44/-4  (** Division Problem Order which is the Original Order**)

Step-by-step explanation:

Here are your division problems:

-30/6 ; 0/-20 ; -44/-4 ; 21/-7 ; - (-3/-2)

First, do the -30 divided by 6

The rule when dividing with a negative and positive is you divide normally but have a negative for your answer.

30 divided by 6 is 5 but carry the negative due to the rule.

First one is -5

Next,

This one is simplistic,

It doesn't matter if it is negative anything divided by 0 is 0

Second one is 0

The next one is -44 divided by -4.

The rule when dividing with negative and negative is they cancel out and become a positive answer.

44 divided by 4 is 11

Third is 11

21 divided by -7 is the same as the first one, divide normally and carry negative.

21 divided by 7 is 3 but carry the negative.

Fourth is -3

Lastly,  we need to use the rules once again. the negatives cancel but you still have a negative. This shall be a negative answer.

Here's the twist. 3 can't divide into 2 easily. You need to get a decimal which is fine.

Fifth is -1.5

Now with all of our numbers:

-5, 0, 11, -3, and -1.5 you need to order them from least to greatest.

Rule: The farther you go out with negatives the smaller they are for example like -12.

-5 is first

-3 is second

-1.5 is third

0 is fourth

11 is fifth

-5 ; -3 ; -1.5 ; 0 ; 11 is the quotient order

-30/6 ; 21/-7 ; - (-3/-2) ; 0/-20 ; -44/-4 is the division problem order

Based on the cost function, the company that produces cell phones can minimize the cost function at 13.4 cell phones.

To minimize the cost function, you should differentiate it.

= 4x² - 107x + 4322

dC/dx = 0

8x - 107 = 0

Solving gives:
8x = 107

x = 107 / 8

= 13.4 cell phones

Find out more on cost functions at https://brainly.com/question/2292799.

Answer:

1

Step-by-step explanation:

[tex] \tan \bigg( \frac{5\pi}{4} \bigg) \\ \\ = \tan \bigg( \pi + \frac{\pi}{4} \bigg) \\ \\ = \tan \bigg(\frac{\pi}{4} \bigg) \\ \\ = 1[/tex]

[tex]\tan \left(\dfrac{5 \pi}4 \right)\\\\\\=\tan \left(2 \cdot \dfrac{\pi}2 + \dfrac \pi4\right)\\\\\\=\tan \left(\dfrac{\pi}4 \right)\\\\\\=1[/tex]

Answer:

46,656

Step-by-step explanation:

6^2x3=

6^6=

6x6x6x6x6x6=

46,656

Hope that helps!

Answer:

1458

Step-by-step explanation:

2×3^6 that is d answer

Answer:

a.36 cm³

Step-by-step explanation:

hope helps u

Answer:

$1493.49

Step-by-step explanation:

The original cost was doubled initially.

$995.66 x 2 = 1991.32

1991.32 x 0.75 (25% discount) = $1493.49

Answer:

Solution:

The length of the arc part:

365 -60/360

x2x2x15=5/6 x2x2x15=252

Two segments: 2x15 = 30

All perimeter: (252 + 30) m

{divide into two parts?

Step-by-step explanation:

Is this what you wanted?

Answer:

Step-by-step explanation:

Answer: All three sides are congruent

The problem is with A. It's true as well. At least 2 of the sides are congruent. The way to eliminate it is to say that does not mean specifically that all three sides are congruent.

I would argue that this is a faulty question, and watch someone squirm as they try to explain to you why a is not the answer. I don't know how to comply with your request. How are the choices designated

A

B

C

or

1  

2

3

Answer:

C. All three sides are congruent.

Step-by-step explanation:

Answer:

Each movie costs $15.05

Step-by-step explanation:

The price that was paid was $45.15

We know that there were 3 movies brought at the same prices.

We want to know how much each movie costs.

This is a simple division problem.

This is because the keywords "same" and also "each"

Do 45.15 divided by 3

45.15/3 = 15.05

Your answer is $15.05

You could verify by adding $15.05 three times.

$15.05 + $15.05 + $15.05 = $45.15

Therefore, Each movie costs $15.05

Let's see

Area

[tex]\\ \rm\rightarrowtail \dfrac{1}{2}\times Base\times Height [/tex]

[tex]\\ \rm\rightarrowtail \dfrac{1}{2}(6xy^5)(4x^2y)[/tex]

[tex]\\ \rm\rightarrowtail 3xy^5(4x^2y)[/tex]

[tex]\\ \rm\rightarrowtail 12x^3y^6[/tex]

[tex]\text{Area of triangle} = \dfrac 12 \times \text{Height} \times \text{Base} \\\\~~~~~~~~~~~~~~~~~~~~~~=\dfrac 12 \cdot 6xy^5\cdot 4x^2y\\\\~~~~~~~~~~~~~~~~~~~~~~=12x^3y^6 ~ \text{units}^2[/tex]

Answer:

2 x-intercepts

Step-by-step explanation:

Standard form of quadratic equation: [tex]\sf y=ax^2+bx+c[/tex]

Given equation: [tex]\sf y=x^2+3x[/tex]

Therefore:

Discriminant: [tex]\sf b^2-4ac[/tex]

Substituting values into discriminant:

[tex]\sf \implies 3^2-4(1)(0)=9[/tex]

As discriminant > 0 then 2 real roots (2 x-intercepts)

Both procedures are correct. Because the end answer and the step-by-step explanation are right.

It is a step-by-step explanation of the equations. The procedure is important

It explains the sequence of actions and specifies what has to be done at each stage, frequently specifying when and by whom the procedure should be conducted.

The end answer for Keisha's solution is;

[tex]\rm cos \theta =[/tex]± [tex]\frac{15}{17}[/tex]

The end answer for David's solution is;

[tex]\rm cos \theta =[/tex]± [tex]\frac{15}{17}[/tex]

Hence both procedures are correct. Because the end answer and the step-by-step explanation are right.

To learn more about the procedure refer to the link;

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Answer:

C: Both procedures are correct

Step-by-step explanation:

on edge :)

Answer:

0.7

Step-by-step explanation:

5(9n-6)              

5×9n-5×6

45n-30

45n/45  -30/45

or 45n÷45-30÷45

n= 0.6666

0.7

hope dis helps!!!!!    

Answer:

573,300.00 to the nearest 10

Step-by-step explanation:

Answer: 6

Step-by-step explanation:

Answer:

The Scale Factor is 5.3

Step-by-step explanation:

Here's the reason why:

You are trying to make the rectangle much larger.

The 14yd by 6yd is trying to get to the 74.2yd by 31.8yd.

We need to remember the importance of length and width.

If 14 yards is our length then 74.2 yards is our length on the enlarged rectangle.

You must do 74.2/14 because we need to work backwords.

**You can't find something to multiply 14 by to get to 74.2 unless you do division.**

74.2/14 is 5.3

Now do the same with the width.

31.8/6

That is 5.3 as well.

Therefore the scale factor is 5.3

Here's how we know that  [tex]\sqrt37[/tex] is a little more than 6:

6 squared is 36.

7 squared is 49.

Since 37 is between 36 and 49, we know that  [tex]\sqrt{37}[/tex] must be between 6 and 7. In other words, [tex]\sqrt{37}[/tex] is a little more than 6.We can also see this visually by looking at a number line. If we plot the numbers from 6 to 7 on a number line, we can see that  [tex]\sqrt{37}[/tex] is somewhere between 6 and 7.

To know more about squared:

https://brainly.com/question/14198272

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Answer:

Minimum: 515

Q1: 686
Q2: 852

Q3: 966

Maximum: 986

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\frac{180(n-2)}{n}[/tex] degrees, where n is the number of sides

The measure of an interior angle inside a regular polygon is given by;

[tex]\rm S = (n -2) \times 180[/tex].

An interior angle of a polygon is an angle formed inside the two adjacent sides of a polygon. Or, we can say that the angle measures at the interior part of a polygon are called the interior angle of a polygon.

An Interior Angle is an angle inside a shape.

As per the angle sum theorem, the sum of all the three interior angles of a triangle is 180°.

Multiplying two less than the number of sides times 180° gives us the sum of the interior angles in any polygon.

The measure of an interior angle inside a regular polygon is determined by the following formula;

[tex]\rm S = (n -2) \times 180[/tex]

S = sum of interior angles and n = number of sides of the polygon.

To know more about interior angles click the link given below.

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Answer:

(400 × 3 ) + (70 × 3) + (5 × 3)

Answer:

26

Step-by-step explanation:

Cellphone: 32 - 19 (students without tablet)

Tablet: 70 -57 (students without cellphone)

Both equations remain with only 13 students with both a cellphone and a tablet.

Then 13 + 13 = 26

Answer:

350ml

Step-by-step explanation:

70% of 500=

500 divided by 10=50

50x7=350ml

Answer:

juice contained in large bottle = 500 ml

juice contained in medium bottle = 70% of large bottle

= 70 % of 500 ml

= 70/100 × 500

= 350 ml

Answer:

4

Step-by-step explanation:

4th one is the answer because 5 is an outlier in the set of data

Answer:

Option 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

3 feet

Step-by-step explanation:

keeping in mind that the vertex will be half-way between the directrix and the focus point, in this case the directrix is below the focus point, meaning is a vertical parabola, Check the picture below.

Given the value of DeAndre‘s assets and liabilities, his net worth is $114,200.

Net worth is the value of the assets less the liabilities.

Net worth = assets - liabilities

Assets = $180,000 + $12,500 +  $1,300 + $18,000 + $30,000 + $20,000= $261,800

Liabilities = $120,000 + $4,600 + $23,000 = $147,600

Net worth = $261,800 -  $147,600 = $114,200

To learn more about liabilities, please check: https://brainly.com/question/26513242