Dentify the type of variation given and the constant of variation (k)

Mathematics

1 answer:

velikii [3]3 years ago

3 0

The constant variation k is 12

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2log(x-3)+1=5<br><br> can someone explain how to solve for x?

Brums [2.3K]

$\bf 2log(x-3)+1=5\iff 2log_{10}(x-3)+1=5\\\\\\ 2log_{10}(x-3)=4
\\\\\\
log_{10}(x-3)=\cfrac{4}{2}\implies log_{10}(x-3)=2\\\\
-----------------------------\\\\
{{ a}}^{log_{{ a}}x}=x\impliedby \textit{using this cancellation rule}\\\\
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10^{\cfrac{}{}log_{10}(x-3)}=10^2\implies x-3=10^2\implies x=100+3$

5 0

3 years ago

There are 26 prize tickets in a bowl,labeled A to Z. What is the probability that a prize ticket with a vowel will be chosen,not

labwork [276]

Answer:

3.1%, dependent event

Step-by-step explanation:

We have that vowel are 5, it is from A, E, I, O, U therefore the probability of drawing a vowel is:

5/26

since there are a total of 26 options to choose from. Then, when selecting that, we are left with 25 options and 4 vowels, therefore the probability would be:

4/25

Therefore the final probability is:

5/26 * (4/25) = 0.031

In other words, selecting a vowel and then another (without replacement) the probability is 3.1%

The events are dependent, since the first event affects the second event, since the number of vowels and the number of total options are reduced.

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3 years ago

PLZ HELP!!!

slava [35]

Answer: Senior: $8, Child: 14

Step-by-step explanation:

3s + c = 38