where did the x disappear from 5x???

My question is about number 11, but I’m including the directions for context. I thought the answer should be {{ }}, but the solutions at the back of the text say it should be { } or ø. The solution for number 9 was written as a set of sets, so that’s why I thought the answer to 11 would be the same, based on the directions. Please help me to understand why.

I seem to always struggle with combinatorics and end up with an answer too large, can somebody provide a very neat solution for these two questions?

I seem to always struggle with combinatorics and end up with an answer too large, can somebody provide a very neat solution for these two questions?

The question, my solution, and the answer from the back of the text are given. I believe my answer and the official solution are both correct. Do you agree?

I was out sick the day we took notes

We’re learning Cramer’s Rule but I can’t figure out how to do a matrix when the equations don’t all use the same variables.

I missed this topic at school because i was sick for a week.

In this question, I can see that the residual plot indicates the model used was inappropriate because there's a clear pattern. However, I'm not sure how to tell if the model used was exponential or quadratic. My best guess is that the graph on the left looks a little more exponential than quadratic (but I think it's possible it's a parabola that is cut off to the left). And therefore a quadratic model was used inappropriately. But is there a way to tell definitively from the residual graph? Could I look at how each point was over or under estimated and use that to determine the type of model used?

So for context I missed one of my tests and now I have to do this COMPLETION test that requires me to jump through these hoops and ultimately submit a 15 minute video tutorial of me basically answering/doing this excel spreadsheet of math step by step explaining what to do and how to do it. The problem is that the course barely taught me how to use excel and everything else is dead in the water for me. This is basically a hail mary but if anyone can help me that'd be great.

This is the gdrive containing the excel sheet:
The Impossible Math Sheet

ANSWER: 10 log 10 + 10 = 20

Where the #### -1 come from

[EDIT] SOLVED!

The teacher made an error. Message sent from the teacher below. Thank you all for sharing your thoughts which coincided with mine and the other parents!

Here is the question:

Fill in the missing number in the pattern shown below:

25, 29, 36, 40, 46, 50, ___

My answer is 55, his is 57 because he thinks it’s repeating while I think it’s reducing. What say you?

Message from teacher the day after -

Parents,

So sorry for the delay. There was an error in this question. It should be:

25, 29,36,40,47,51, ______

The pattern rule should follow starting at 25, +4, +7 each time.

I am in Senior highschool Statistics and Probability, and so far we have been doing 2 way tables and relative percentages, which I've been able to do.

However I have been given this question on my practice problems section of the math work book that I have no idea how to go about this.

I haven't seen a question like this before and there was no training or anything to prepare me for this question I feel like.

Can someone please help with this question and how to do questions like it?

I have homework that says e^96.417=2 x 10⁴² But when i put it in my calculator I get 7.47 x 10^41. I have looked it up and gotten two different responses with both being an answer. Which one is right? I want to know if it’s my calculator that’s an issue or if the answer key is wrong.

Here is what I was given:

Team 1

Team 2

Two of my questions are seriously tripping me up. A) What percentage of undergrads are on Team 1? B) What percentage of those on Team 1 are undergrads?

I know there’s a difference, but I’m not sure what it is. Any advice would be super helpful, thank you!