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s344n2d4d5 [400]
3 years ago
9

suppose y varies directly with x. when x is 14, why is 7. write the equation that relates x and y. Be sure to simply your answer

.
Mathematics
1 answer:
SIZIF [17.4K]3 years ago
4 0

Answer:

x=2 y=1

Step-by-step explanation:

its self explanitory. these questions shouldnt be asked. but here we go.

if x is 14 when y is 7, then you can simplify it to x2 y1

you're language:

when 2 people as a good question, someone asks a stupid question. so GQ= good question BQ is bad question. GQ2 BQ1, GQ4 BQ2, GQ6 BQ3, GQ8 BQ4, GQ10 BQ5, GQ 12, BQ6, GQ14 BQ7.

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How many elements does A contains if it has 64 subsets​
Amanda [17]
<h3>Answer:  6</h3>

===========================================================

Explanation:

Rule: If a set has n elements in it, then it will have 2^n subsets.

For example, there are n = 3 elements in the set {a,b,c}. This means there are 2^n = 2^3 = 8 subsets. The eight subsets are listed below.

  1. {a,b,c} .... any set is a subset of itself
  2. {a,b}
  3. {a,c}
  4. {b,c}
  5. {a}
  6. {b}
  7. {c}
  8. { } ..... the empty set

Subsets 2 through 4 are subsets with exactly 2 elements.  Subsets 5 through 7 are singletons (aka sets with 1 element). The last subset is the empty set which is a subset of any set. You could use the special symbol \varnothing to indicate the empty set.

For more information, check out concepts relating to the power set.

-------------------

The problem is asking what value of n will make 2^n = 64 true.

You could guess-and-check your way to see that 2^n = 64 has the solution n = 6.

Another approach is to follow these steps.

2^n = 64\\\\2^n = 2^6\\\\n = 6

Which is fairly trivial.

Or you can use logarithms to solve for the exponent.

2^n = 64\\\\\text{Log}\left(2^n\right)=\text{Log}\left(64\right)\\\\n*\text{Log}\left(2\right)=\text{Log}\left(64\right)\\\\n=\frac{\text{Log}\left(64\right)}{\text{Log}\left(2\right)}\\\\n\approx\frac{1.80617997398389} {0.30102999566399} \ \text{ ... using base 10 logs}\\\\n\approx5.99999999999983\\\\

Due to rounding error, we don't land exactly on 6 even though we should.

5 0
1 year ago
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