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1 year ago

Which of the following inequalities is true for all positive integers m

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1 answer:

valkas [14]1 year ago

4 0

The true inequality for all positive integers m is that D. m ≤ m + 1.

<h3>What inequality is true for all positive integers?</h3><h3 />

It is not mathematical logical for an integer to be less than its reciprocal so option A is incorrect.

It is also not possible for the square root of an integer to be less than its square root which removes option B.

A positive integer cannot be greater than its squared amount and and it is possible for a positive integer to be less than its square root plus 1 in the case of m = 1.

The logical option is that integer m + 1 will always be greater than positive integer m.

Find out more on inequalities at brainly.com/question/24372553.

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3 years ago

Read 2 more answers

a student combined 45.3 ml of a 0.549 m calcium nitrate ca(no₃)₂ solution with 75.05 ml of a 1.321 m ca(no₃)₂ solution. calculat

Maksim231197 [3]

The concentration of the final solution of Ca(NO₃)₂ made by combining 45.3 mL of a 0.549 M Ca(NO₃)₂ solution with 75.05 mL of a 1.321 M Ca(NO₃)₂ solution is 1.03 M

We'll begin by calculating the number of mole of Ca(NO₃)₂ in each solution. This can be obtained as follow:

<h3>For solution 1:</h3>

Volume = 45.3 mL = 45.3 / 1000 = 0.0453 L

Molarity = 0.549 M

Mole = Molarity x Volume

Mole of Ca(NO₃)₂ = 0.549 × 0.0453

<h3>For solution 2:</h3>

Volume = 75.05 mL = 75.05 / 1000 = 0.07505 L

Molarity = 1.321 M

Mole = Molarity x Volume

Mole of Ca(NO₃)₂ = 1.321 × 0.07505

Next, we shall determine the total mole of Ca(NO₃)₂ in the final solution. This can be obtained as follow:

Mole of Ca(NO₃)₂ in solution 1 = 0.0249 mole

Mole of Ca(NO₃)₂ in solution 2 = 0.0991 mole

Total mole = 0.0249 + 0.0991

<h3>Total mole = 0.124 mole</h3>

Next, we shall determine the total volume of the final solution.

Volume of solution 1 = 0.0453 L

Volume of solution 2 = 0.07505 L

Total Volume = 0.0453 + 0.07505

<h3>Total Volume = 0.12035 L</h3>

Finally, we shall determine the concentration of the final solution. This can be obtained as follow:

Total Volume = 0.12035 L

Total mole = 0.124 mole

<h3>Concentration =?</h3>

Concentration = mole / Volume

Concentration = 0.124 / 0.12035

<h3>Concentration = 1.03 M</h3>

Therefore, the concentration of the final solution of Ca(NO₃)₂ is 1.03 M

Learn more: brainly.com/question/25469095

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