answer:Emily is suggesting a study session for the upcoming APUSH exam, noting that Alex seems well-prepared and could provide helpful note-taking and studying strategies. Emily is available to meet this week.

answer:Dear Mia, I hope this message finds you well. I understand that you have expertise in the area of climate change, and I am currently working on a project that explores the impact of climate change on the prevalence and distribution of infectious diseases. I believe that a collaboration between us could be mutually beneficial. I am particularly interested in any data or insights you might have on this topic. If you are open to sharing, it would greatly contribute to the depth and accuracy of my research. Given the approaching deadline for my project, I would appreciate your response at your earliest convenience. Thank you for considering this collaboration. Best regards, Alex

answer:Hi Ms. Thompson, I hope you're doing well. I had a chance to look over your draft for the Passover Seder presentation, and I have some feedback that I think could really help enhance it. It seems like there might have been a bit of a mix-up. The materials I sent cover not just the story of liberation, but also the deep religious and historical significance of the Seder. It's really important for our students to grasp these aspects to fully appreciate the tradition. I understand that the basics of Jewish tradition can be complex, but I think we can find a way to explain them accurately without oversimplifying. I’m confident that with a bit of tweaking, we can create a presentation that is both engaging and educational. Let’s touch base soon to discuss this further. I value our collaboration and I’m sure we can work this out together. Warm regards, Rabbi David Cohen

answer:Step 1: Counting the total number of five-digit numbers with digits summing to 44 We determine possibilities with total digits summing to 44. The primary valid combinations are: 1. **Four 9's and one 8**: Number represented as permutations of 99998. The count is: [ frac{5!}{4!1!} = 5 ] 2. **Three 9's and two 9's**: As 99999 is not valid because it exceeds the sum, another valid scenario should be found, but for sum 44, a direct prominent quick fix is impossible, leading to only five valid numbers: 99989, 99998, 99899, 98999, 89999. The total given this sole valid configuration is 5. Step 2: Counting numbers divisible by 7 To check divisibility by 7 for each configuration: - **99998**: 10000 times 9 + 1000 times 9 + 100 times 9 + 10 times 9 + 8 = 90000 + 9000 + 900 + 90 + 8 = 98998 Applying division checks for each permutation: - 99998 % 7 = 4 (Not divisible) - 99989 % 7 = 3 (Not divisible) - 99899 % 7 = 5 (Not divisible) - 98999 % 7 = 0 (Divisible) - 89999 % 7 = 0 (Divisible) Out of the 5 permutations, 2 are divisible by 7. Step 3: Calculating the probability Since there are 2 valid cases out of 5, the probability that a selected number is divisible by 7 is: [ frac{2}{5} ] Thus, the solution would be frac{2{5}}. The final answer is The correct answer given the choices is **(B) boxed{frac{2}{5}}**.