07.05.2020

Based on what we established about the classification of x and using the closure of
integers, what does the equation tell you about the type of number x must be for
the sum to be rational? What conclusion can you now make about the result of
adding a rational and an irrational number?

. 19

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StudenGPT
Step-by-step answer
P Answered by Studen AI
To solve the given task, let's break it down step by step:

1. The equation states that we need to consider the classification of 'x' and use the closure of integers.

2. The closure of integers means that when we perform operations (addition, subtraction, multiplication, and division) on two integers, the result remains an integer.

3. The equation suggests that we want the sum to be rational. A rational number is a number that can be expressed as the quotient of two integers, where the denominator is not zero.

4. If we add a rational number and an irrational number, the result can be either rational or irrational, depending on the specific numbers involved.

Now, let's analyze the equation further using math laws:

Let 'a' be the rational number and 'b' be the irrational number. The equation becomes:

a + b

We are trying to find the condition for 'x' so that the sum is rational.

To ensure the sum is rational, we want 'b' to be canceled out when added to 'a'. To do that, 'b' should be the additive inverse (negative) of 'a'.

Therefore, the condition for 'x' to make the sum rational is:

x = -a

This means 'x' needs to be the additive inverse (negative) of the rational number 'a'.

In conclusion, if we add a rational number 'a' and an irrational number 'b', the sum will be rational only if 'x' is the additive inverse (negative) of 'a'.

Please note that the specific values of 'a', 'b', and 'x' may vary, and this solution is based on the given information and math laws. It is always crucial to check the steps, simplify expressions accurately, and verify the results to ensure mathematical correctness.
Mathematics
Step-by-step answer
P Answered by Specialist

Irrational number

Step-by-step explanation:

It's given,

y = \frac{mb}{na} (By simplifying the product of rational number 'x' and an irrational number 'y')

Where m and n are the integers and \frac{b}{a} is a rational number.

(Since x = \frac{a}{b} is a rational number)

Therefore, \frac{mb}{na} will be a rational number.

y = \frac{mb}{na} ⇒ Irrational number = Rational number

which is a contradictory statement.

Therefore, multiplication of rational and irrational number will be irrational.

Chemistry
Step-by-step answer
P Answered by Master
Answer: 0.0045 mol
Explanation: Convert 30 ml to l: 30 mL = 0.03 L
Molarity = mol/l
mol = molarity * L
mol = 0.15 * 0.03 = 0.0045 mol
Answer: 0.0045 mol
Explanation: Convert 30 ml to l: 30 mL = 0.03 L
Molarity = mol/l
mol = molarit
Chemistry
Step-by-step answer
P Answered by PhD
Answer: chalcogens.
Explanation: Strontium is an alkaline earth metal, it always exhibits a degree of oxidation in its compounds +2.
Chalcogens are a group of 6 chemical elements (oxygen O, sulfur S, selenium se, tellurium te, polonium Po) that have an oxidation state of -2 => Chalcogens will combine with strontium in a ratio of 1:1.
Chemistry
Step-by-step answer
P Answered by Master

Calcium (Ca)(On the periodic table, ionization energy increases as you go up and to the right of the periodic table)

Calcium (Ca)(On the periodic table, ionization energy increases as you go up and to the right of the
Chemistry
Step-by-step answer
P Answered by PhD

glycoproteins

Explanation:

A positive reaction for Molisch's test is given by almost all carbohydrates (exceptions include tetroses & trioses). It can be noted that even some glycoproteins and nucleic acids give positive results for this test (since they tend to undergo hydrolysis when exposed to strong mineral acids and form monosaccharides).

Chemistry
Step-by-step answer
P Answered by PhD
Answer: 25 g
Explanation: Given:
Original amount (N₀) = 100 g
Number of half-lives (n) = 11460/5730 = 2
Amount remaining (N) = ?
N = 1/2ⁿ × N₀
N = 1/2^2 × 100
N = 0.25 × 100
N = 25 g
Chemistry
Step-by-step answer
P Answered by PhD
Answer: 7.8125 g
Explanation: Given:
Original amount (N₀) = 500 g
Number of half-lives (n) = 9612/1602 = 6
Amount remaining (N) = ?
N = 1/2ⁿ × N₀
N = 1/2^6 × 500
N = 0.015625 × 500
N = 7.8125 g
Chemistry
Step-by-step answer
P Answered by PhD
Answer: The product formed is potassium chloride.
Explanation:
Precipitation reaction is defined as the chemical reaction in which an insoluble salt is formed when two solutions are mixed containing soluble substances. The insoluble salt settles down at the bottom of the reaction mixture.

The chemical equation for the reaction of potassium phosphate and magnesium chloride follows (look at the picture)

2 moles of aqueous solution of potassium phosphate reacts with 3 moles of aqueous solution of magnesium chloride to produce 1 mole of solid magnesium phosphate and 6 moles of aqueous solution of potassium chloride.
Answer: The product formed is potassium chloride.
Explanation:
Precipitation reaction is defined a
Chemistry
Step-by-step answer
P Answered by PhD
Answer: B. carbon tetrachloride, CCI4
Explanation: The other options are incorrect. Let's write the correct formulas:
A. Diarsenic pentoxide - As2O5
C. Sodium dichromate - Na2Cr2O7
D. magnesium phosphide - Mg3P2

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