<em>So to solve for a variable, you have to isolate that variable onto one side.</em>
<h3>14.</h3>
Firstly, multiply both sides by j: 
Next, divide both sides by k and <u>your answer will be:
</u>
<h3>15.</h3>
Firstly, add g on both sides: 
Next, multiply both sides by 5 and <u>your answer will be:
</u>
<h3>16.</h3>
Firstly, subtract 5p on both sides: 
Next, divide both sides by 9 and <u>your answer will be
</u>
To simplify the problem imagine the half-life was 2.5 minutes. This means that there would be 10/2.5=4 periods of halving the mass, which means 1/2⁴=1/16 of 18g=1.125g.
So for the given half-life we calculate 10/2.552=3.9185 approx. So we now find 2 to this power=15.1211 approx and divide into 18=1.19g. This is close to the rough estimate we did earlier.
An importance of mathematical proofs is that they elucidate on why a conjecture is false (untrue).
<h3>The importance of mathematical proofs.</h3>
Generally, some of the importance of mathematical proofs include the following:
- They elucidate on why a conjecture is false (untrue).
- It provides a rational and logical justification for a theory.
In geometry, some of the consequences of the inaccuracy in the conclusion within a proof are:
- It leads to the misinterpretation of concepts and theories.
- It produces wrong results.
Outside the world of geometry, there are different kinds of proofs and these include:
- The Big Bang theory.
- Reflection of light by a plane mirror.
- Surface tension in water.
Basically, if there were to be an unjustified conclusion in the proofs above, the study of the properties of matter might not be possible. Also, the end users of various materials are most likely to be affected.
Read more on proofs here: brainly.com/question/26283907
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Answer: $3 each
Step-by-step explanation: If you are wondering how much money each volleyball costs, it would be $3. You would figure that out by dividing the $18 by 6.
18 ÷ 6 = 3
The original price should be 800$. Tell me if you need the calculations