Answer:
5.59 times per second.
Step-by-step explanation:
Direct variation is in the form:

Where <em>k</em> is the constant of variation.
Inverse variation is in the form:

In the given problem, the frequency of a vibrating guitar string varies inversely as its length. In other words, using <em>f</em> for frequency and <em>l</em> for length:

We can solve for the constant of variation. We know that the frequency <em>f</em> is 4.3 when the length is 0.65 meters long. Thus:

Solve for <em>k: </em>
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So, our equation becomes:

Then when the length is 0.5 meters, the frequency will be:

Answer:
$131.60
Step-by-step explanation:
For the promotion, markup is 33.3% of the selling price.
Now, Selling Price = Cost price + Cost price*Markup
Selling Price = $98.75 + $98.75*33.3%
Selling Price = $98.75 + $32.88375
Selling Price = $131.63375
Selling Price = $131.60
Thus, the selling price of the bicycle after calculating the markup is $131.60.
Answer:y=5x+8
Step-by-step explanation: the perpendicular slope is going to be the negative reciprocal of your given slope. In this case the perpendicular line has a slope of 5, because u flip -1/5 to make -5 and u negate -5 to make 5. This perpendicular slope passes through (-2,-2) and u find the y intercept like this: -2=(5(-2))+b. Therefore the y intercept is 8 and the perpendicular slope is y=5x+8
Answer:
I'm not sure what the answer choices are but that would seem like a piece of sketch paper.
Step-by-step explanation:
Answer:
the right ones are a c and d maybe
Step-by-step explanation:
these are probably wrong but I need my points so figure it out.