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Romashka-Z-Leto [24]
3 years ago
5

Can you ever use a calculator to determine if a number is rational or irrational?

Mathematics
1 answer:
timofeeve [1]3 years ago
3 0
A rational number is simply a term that can be expressed as a fraction. Otherwise, that is an irrational number. So, you can use a calculator to verify if the number is rational or not.

The key characteristic of an irrational number is when it contains a long line of decimal places. For example, the term π and the Euler's number e are irrational numbers. The exact values of π and e are 3.14159 and <span>2.71828182846, respectively. In reality, those decimal places go on a long way. Particularly, </span>π<span> has a total of 2.7 trillion digits. Numbers inside radicals or roots can also be irrational numbers. For example </span>√3 is irrational because it is equal to 1.732050808. However, not all radicals are irrational. For example √15.3664 is equal to 98/25 or 3.92. That is a rational number. So, therefore, use the calculator to know the exact value of the term to properly distinguish rational from irrational.
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Divide and find quotient<br>(a⁴-b⁴) ÷ (a+b)<br>(step by step explanation)​
lakkis [162]

Answer:

Step-by-step explanation:

(a⁴-b⁴)/(a-b)

using..(a+b²)=(a+b)(a-b)

=(a²+b²)(a²-b²)/(a-b)

=(a²+b²)(a+b)(a-b)/(a-b)

=(a²+b²)(a+b)

6 0
1 year ago
What should be done to solve the following equation? (7.5)x = 45
Tema [17]
Divide each side by 7.5
4 0
3 years ago
Read 2 more answers
The following is a recipe for Gazpacho, a cold vegetable soup. Write how much of each item in the
denis23 [38]

9514 1404 393

Answer:

  replace recipe quantities:

  1/4 ⇒ 5/8; 1/2 ⇒ 1 1/4; 1 ⇒ 2 1/2; 1 1/2 ⇒ 3 3/4; 2 ⇒ 5

Step-by-step explanation:

The given recipe serves 4, so must be multiplied by 10/4 = 5/2 to make it make 10 servings.

The numbers in the recipe (ignoring units or ingredients) are ...

  1/4, 1/2, 1, 1 1/2, 2

Each of these numbers needs to be multiplied by 5/2 to get the number for the larger recipe.

  1/4 × 5/2 = 5/8

  1/2 × 5/2 = 5/4 = 1 1/4

  1 × 5/2 = 5/2 = 2 1/2

  (1 1/2) × 5/2 = 3/2 × 5/2 = 15/4 = 3 3/4

  2 × 5/2 = 5

Then, to make the larger recipe, rewrite it with the quantities replaced as follows:

  old value ⇒ new value

  1/4 ⇒ 5/8

  1/2 ⇒ 1 1/4

  1 ⇒ 2 1/2

  1 1/2 ⇒ 3 3/4

  2 ⇒ 5

__

For example, 1 1/2 lbs of fresh tomatoes ⇒ 3 3/4 lbs of fresh tomatoes

_____

<em>Additional comment</em>

If you actually want to create the recipe, you may find it convenient to use a spreadsheet to list quantities, units, and ingredient names. Then you can add a column for the quantities for a different number of servings, and let the spreadsheet figure the new amounts. (A spreadsheet will compute quantities in decimal, so you will need to be familiar with the conversions to fractions--or use metric quantities.)

8 0
3 years ago
I have one third gallon of juice and one sixth gallon. How many more gallons is need to make three gallons
charle [14.2K]

Answer:

2.5 gallons

Step-by-step explanation:

Make the denominators of the fractions the same and combine them

\frac{1}{3} =\frac{2}{6}

\frac{2}{6} +\frac{1}{6} =\frac{3}{6}

Then simplify the fraction

\frac{3}{6} =\frac{1}{2}

Then subtract how many gallons you have from how many you want

3 -\frac{1}{2} = 2\frac{1}{2}

You will need 2.5 gallons to make 3 gallons

3 0
3 years ago
It takes Dan 32 minutes to complete 2 pages of math homework. At this rate, how many pages does he complete in 200 minutes?
Anna [14]
He can complete about 6 pages of math homework.
you first do 200 divided by 32 and you get 6.25. So therefore Dan can complete 6 pages in 200 minutes.
7 0
3 years ago
Read 2 more answers
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