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https://web2.0calc.com/questions/i-am-having-trouble-with-this-question-on-a-semester-review 

See if you can figure it out from this problem. 

We need the starting term (a_1) and we to know how much you increase/decrease from term to term.  

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The numerator of the numbers are 1, 2, 3, 4, 5, ... 100. 

So the numerator should just be i. 

The denominator of the numbers are 4, 6, 8, 10. 

So the denominator should just be 2(i+1). 

There are 100 terms in the sequence, so the top of the sigma has to be 100. 

Put them all together and find the right choice. :))

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Notice that each time, we're adding 9 and that it starts with 12. 

a_n = 12 + 9(n-1)

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It looks alright to me....

I would be interested in seeing other graphs that work with this.

See what combinations of rational roots you can find.

Accept it as a challenge if you want.

Sure, there is 4 possible rational roots.  I said that too

But they cannot all be true at once.

I went on to interpret the question to say how many integer solutions can there be in any specific values of a_n

I found that for any specific solution there cannot be 4.

There can be 0 

There can be 3

Here is a different combination of 3 rational roots that work

I am not sure about 1 or 2.  

It cannot be 4

Did the latex mess up?

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Thanks Ilovepizza and Heureka,

Where does 2^99 come from?  I understand everything else. 

The sum terms are  1,4,9,16

so the actual terms must be  1,3,5,7,    (these are the differences)

does this help?

Boris takes 14 seconds to run up the out-of-service escalator.

The largest number on a hat is 16.

The minimum value is -8.

The smallest possible value of d is 5.

I assume that Kim finished in 50.9 seconds. 

Since Martin finished the race .267 seconds after, Martin finished in .267 + 50.9. 

How is adding 0.267 to 50.9 different from adding 0.26 to 50.9?

.267 + 50.9 = 51.167

.26 + 50.9 = 51.16

I think the first one is the specific number, but the second is a rounded version. 

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a + b = 5.

x^2-2x+y^2-10y+20 = x^2-8x+y^2-10y+35

6x = 15

x = 2.5

Now, find the 2 y coordinates to get the 2 coordinates. :))

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Hint: Use the pigeonhole principle with mod 12.

So, I think parameter has to deal with the entire population, but statistic is to do with the sample? If that is right, then 

A. It is surveyed so this is a sample, which means it is a statistic

B. Also a survey, so statistic.

C. Same as B, so statistic

D. This is across the entire district so parameter.

Correct   !!!!

We can simply use the pythagorean theorem to get \(\sqrt{13^2-12^2} = 5.\)

So, we have that there were 21-4=17 students who either passed the test or completed HW. So, there were 11+14-17 = 8 students that passed the test and compelted the HW. So, the probability is \(\frac{8}{14} = \frac47.\)

Hi, I got (10,870, 40,569). Is that right?

Yup, I think that's right...

\(750 - 750*0.544 - 750*0.36 = 72.\)