Question 2 of 20
Which of the following sets represents the range of the diagram below?

The required least common denominator for the given expression is  4x³(x + 3). Option C is correct.

A rational expression is a mathematical expression that is the ratio of two polynomial expressions. That is, a rational expression is formed by dividing one polynomial expression by another polynomial expression.

Here,
The given rational expression,
= 1/x²  - 1/4x² + 12x

In the question, we have been asked to determine the least common denominator for the given rational expression.

Since least common denominator is given expression,
= x² (4x² + 12x)
= 4x³(x + 3)

Thus, the required least common denominator for the given expression is  4x³(x + 3). Option C is correct.

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If greenfield company has a piece of manufacturing equipment with a book value of $40,000 and a remaining useful life of four years.  the total increase or decrease in income by replacing the current equipment with the new equipment is:$22,000 decrease.

Here, we have,

to find the increase or decrease in income

Annual Savings $76,000

($19,000 × 4 years)

Add Proceeds from Sale of Machine $22,000

Total  $98,000

Total increase or decrease in income = $98,000 - $120,000

Total increase or decrease in income = $22,000 (Decrease)

Therefore the decrease in income is $22,000.

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complete question:

granfield company has a piece of manufacturing equipment with a book value of $40,000 and a remaining useful life of four years. at the end of the four years the equipment will have a zero-salvage value. granfield can purchase new equipment for $120,000 and receive $22,000 in return for trading in its current equipment. the current equipment has variable manufacturing costs of $39,000 per year. the new equipment will reduce variable manufacturing costs by $19,000 per year over its four-year life. the total increase or decrease in income by replacing the current equipment with the new equipment is:

Answer:

8.5%

Step-by-step explanation:

Answer:

8.5 %

Step-by-step explanation:

Answer:

x + 1.4x = 180

2.4x = 180

x = 75, so 1.4(75) = 105

Soooooo sorry but I only understood part a and c.

sorry

Answer:

im taking the 50 points

Step-by-step explanation:

Answer:

Me: 60

Zayn and Attia: 6

Step-by-step explanation:

12 = 2 × 2 × 3

20 = 2 × 2 × 5

LCM of 12 and 20 = 2 × 2 × 3 × 5 = 60

My number is 60.

Zayn's and Attia's numbers are 6.

Answer:

Step-by-step explanation:

Proportional relationship equation:

Use one pair of coordinates to find the value of k, the point (3, 2):

Step-by-step explanation:

Proportionality = y2 - y1/x2 - x1

=> (2 - 0)/(3 - 0)

=> 2/3

Hence,

⅔ is the correct answer

Answer:

what is the question

Step-by-step explanation:

Answer:

-20 = 0

Step-by-step explanation:

-8 (6 + x) + 4 (2x + 7) = 0

-48 - 8x + 8x + 28 = 0

-20 = 0

Answer:

x = 6

Step-by-step explanation:

Looking at the figure, we can say that it is a vertical angle.

5x - 7 = 23

5x - 7 + 7 = 23 + 7

5x = 30

5x / 5 = 30 / 5

x = 6

Since it is a vertical angle, the other side should be 23⁰. You can also plug in the x value to find if it gives you 23⁰ or not.

5x - 7

5(6) - 7

30 - 7

23

Therefore, x = 6. Hope this helps and stay safe, happy, and healthy, thank you :) !!

Answer:

start on (0,1) and go up two and left three. keep going until you run out of room. then, draw a line through the points.

Step-by-step explanation:

9514 1404 393

Answer:

  (b)  3h^-8·k^10

Step-by-step explanation:

The applicable rule of exponents is ...

  (a^b)/(a^c) = a^(b-c)

__

  \(\dfrac{15h^{-4}k^{15}}{5h^4k^5}=\dfrac{15}{5}h^{-4-4}k^{15-5}=\boxed{3h^{-8}k^{10}}\)

The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.

The correct answer choice is option B.

Malcolm's gift card = $50.

Cost Malcolm's car wash per visit = $7

Martha's gift card = $180

Cost Martha's car wash per visit = Difference between gift card balance of first and second visit

= $180 - $160

= $20

How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7

= $13

Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13

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The probability that the two choose the same number is 1/7

A student and a professor each choose a number between one and seven and we have to determine the probability that the two choose the same number.

We can calculate the total pairs of numbers that the student and the professor choose. It can be calculated as

                    = 7 x 7 = 49 choices

Now, we can also determine all the pairs of the same numbers. The pairs of the same numbers are (1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6) and (7, 7).

So, there are 7 pairs with the same numbers.

Probability that the two choose the same number = Number of pairs with same numbers/Total choices

                = 7/49

                = 1/7

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Answer:  slope = -3/7

Step-by-step explanation:

m(slope) = (y2-y1)/(x2-x1)

m = (-2+-1)/(5--2)

m = (-2-1)/5+2)

m = -3/7

Answer:

Step-by-step explanation:

x^2+3y/xy

4^2+3*2/4*2

16+6/8

22/8

Answer:

12x+24

Step-by-step explanation:

by multiplying the number 6 into the term inside of the bracket gives 12x + 24

The caloric content for ice cream C is 250 calories while the caloric content for ice cream B is 270 calories.

To determine the caloric content, we will assign algebraic notations to each of the dessert types.

1 Icecream + 2 Blueberry pie =   790 calories

3 icecream + 2 Blueberry pie = 1290 calories

Now the first equation will be subtracted from the second equation as follows:

2 icecream = 500 calories

So, 1 ice cream is 250 calories.

Also, since, 1 icecream serving equals 250 calories, 2 Blueberry pies = 790 - 250 = 540 calories, and 1 Blueberry pie equals 270 calories.

Complete question:

Johnny's cafe serves desserts. One serving of ice cream and two servings of blueberry pie provides 790 calories. Three servings of ice cream and two servings of blueberry pie provides 1290 calories. Find the caloric content of each item.

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Answer:

2/3 book/hour

Step-by-step explanation:

1/2 multiplied by 4/3= 2/3

Answer:

33 , 39

Step-by-step explanation:

given

9 , 15 , 21 , 27

there is a common difference between consecutive terms, that is

15 - 9 = 21 - 15 = 27 - 21 = 6

to obtain terms in the sequence add 6 to the preceding term

27 + 6 = 33

33 + 6 = 39

the next two terms are 33 and 39

Answer:

The numbers are 39 and 16

Step-by-step explanation:

let the two numbers be x and y

according to question

x+y=55......equation i

x-y=23.......equation ii

add both equations and you will get x=39 and y=16

Based on the provided information, we can say that Kibo has a volume of approximately 54.01 cubic meters.

To compare the volume of Kibo, Destiny, and Columbus, we need to calculate the volumes of each module.

The volume of a chamber can be determined utilizing the equation V = πr^2h, where r is the span and h is the level (or length for this situation) of the chamber.

For Kibo:

Radius (r) = 2.2 meters

Length (h) = 11.2 meters

V_kibo = π * (2.2^2) * 11.2

      = 4.84 * 11.2

      ≈ 54.01 cubic meters

For Destiny and Columbus, we would need their respective dimensions to calculate their volumes using the same formula.

Destiny is a U.S. laboratory module on the International Space Station. It is a multi-sided module, so we would need the measurements of each side to calculate its volume.

Columbus is a European laboratory module, which is also multi-sided.

Without the specific dimensions of Destiny and Columbus, we cannot accurately compare their volumes to Kibo. However, based on the provided information, we can say that Kibo has a volume of approximately 54.01 cubic meters.

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Answer:the slant height of the triangular pyramid is approximately 11.4132 centimeters.

Answer:

Step-by-step explanation:

Positive integers = 2 5 8 11 13 28

Negative integers = - 3 - 7 - 9 - 11

The integer that's troubling her the most is 0 because zero is defined as neither positive nor negative

Answer:

I think it is A

Step-by-step explanation:

as use the equation given I colour coded it so hopefully it make sense:)

Answer:

The margin of error for a 95% confidence interval for the true proportion of tongue rollers among students is closest to (d) 0.04

The margin of error is a statistic that describes how much random sampling error there is in survey results.

Given in question,

n = 400

p = 317/400

  = 0.7925

Confidence Level = 95%

                          = 0.95

Formula for margin error, E = \(z\sqrt{\frac{p(1-p)}{n} }\)

Confidence level corresponding to 95 % confidence interval, z = 1.96

Therefore,

Margin Error, E = \(1.96\sqrt{\frac{0.7925(1-0.7625)}{400} }\)

                         = 0.0397

                         ≈ 0.04

Hence, The margin of error for a 95% confidence interval for the true proportion of tongue rollers among students is 0.0397 which is closest to 0.04.

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Answer:

32

Step-by-step explanation:

avg=20m

total height= 20*4 =80

three building height =16 *3=48

4th=80-48=32

Answer: Total fruit cups made = \(4\dfrac14\)

Step-by-step explanation:

Total cups of strawberries = 5

Cups used for smoothies = \(2\dfrac16=\dfrac{13}{6}\)

Since rest of the strawberries are used to make fruit cups = \(5-\dfrac{13}{6}=\dfrac{30-13}{6}=\dfrac{17}{6}\)

Cups of strawberries for each fruit cup = \(\dfrac23\)

Total fruit cups made = (rest of the strawberries ) ÷(Cups of strawberries for each fruit cup)

\(=\dfrac{17}{6}\div \dfrac23\\\\=\dfrac{17}{6}\times\dfrac32\\\\=\dfrac{17}{4}\\\\=4\dfrac14\)

∴ Total fruit cups made = \(4\dfrac14\)

Answer:

-2x-7=18

Step-by-step explanation:

my be this could help