Westonci.ca offers fast, accurate answers to your questions. Join our community and get the insights you need now. Explore our Q&A platform to find in-depth answers from a wide range of experts in different fields. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

Given that the original mathematical content appears to be a bit unclear and potentially nonsensical, it requires a meaningful reformulation. Here's an attempt to create a coherent task based on what might be intended:

Prove the following vector calculus identity:
[tex]\[ \nabla r^n = n r^{n-2} \mathbf{r} \][/tex]

where \(\mathbf{r}\) is the position vector \((x, y, z)\) and \(r = \sqrt{x^2 + y^2 + z^2}\).

(Note: The original text appears to mix unrelated mathematical concepts. This revision aims to propose a more standard and understandable vector calculus problem.)


Sagot :

Sure! Here’s your step-by-step solution for the problem related to a real-world context involving money, bagels, and their cost.

Let's start by setting up the problem:

1. Total Initial Money: The initial amount of money you have is $23.
2. Number of Bagels: You plan to buy 5 bagels.
3. Cost per Bagel: Each bagel costs $3.

Next, calculate the total amount of money spent on bagels:

1. Money Spent Calculation:
[tex]\[ \text{Money Spent} = \text{Number of Bagels} \times \text{Cost per Bagel} \][/tex]
Substituting in the numbers:
[tex]\[ \text{Money Spent} = 5 \times 3 = 15 \][/tex]

So, the amount of money spent on the bagels is $15.

2. Money Left Calculation:
[tex]\[ \text{Money Left} = \text{Total Initial Money} - \text{Money Spent} \][/tex]
Substituting in the values:
[tex]\[ \text{Money Left} = 23 - 15 = 8 \][/tex]

Thus, the amount of money you have left after buying the bagels is $8.

Summary:
- You spent $15 on bagels.
- You have $8 left after the purchase.

These computations match the results provided.
Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.