Sasha hikes into a canyon. She takes a break at the rest stations every mile she descends. If she started at sea level and has hiked down to the fourth rest station, what is Sasha's elevation now? 23/1/2 12 is 3 25 0.9 Sashas elevation, Redead th 2. Find the product of -3 -1.5. A-135 25 B -0.09 time 3. Jenny has $2.40 deducted from her monthly allowance every 1 she forgets to do a chore. If she forgets three times in one month, what will be the change in Jenny's total allowance? $1.20 Relead the que 2 4. An airplane descends at a rate of 2,700 feet per minute. Once the airplane starts its descent, what will be its change in elevation after 3 minutes? The will be elevation 4,00 k

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
100%
**Educational Worksheet**

1. **Problem 1:**
   Sasha hikes into a canyon. She takes a break at rest stations every \(2 \frac{2}{3}\) miles she descends. If she started at sea level and has hiked down to the fourth rest station, what is Sasha’s elevation now?\
   - **Solution:** Multiplying \(2 \frac{2}{3}\) by 4 gives \(10 \frac{2}{3}\) miles below sea level.

2. **Problem 2:**
   Find the product of \(-\frac{3}{5} \cdot -1.5\).\
   - **Options:**
     - A. \(-1 \frac{3}{25}\)
     - B. \(-0.09\)
     - C. \(\frac{3}{25}\)
     - D. \(0.9\)
   - **Solution:** D. \(0.9\)

3. **Problem 3:**
   Jenny has $2.40 deducted from her monthly allowance every time she forgets to do a chore. If she forgets three times in one month, what will be the change in Jenny’s total allowance?\
   - **Solution:** $7.20 deduction.

4. **Problem 4:**
   An airplane descends at a rate of 2,700 feet per minute. Once the airplane starts its descent, what will be its change in elevation after \(3 \frac{1}{2}\) minutes?\
   - **Solution:** The elevation will change by 9,450 feet.

5. **Problem 5:**
   How does the number line below represent the product of a positive number and a negative number? Explain.\
   - **Diagram Explanation:** The number line shows movement from 0 to negative values, illustrating how multiplying a positive number by a negative number results in a negative product.\
   - **Explanation:** Each arc on the number line represents multiplication steps, resulting in values moving left on the number line. 

**Diagram:**
- A number line is shown with arcs from 0 moving incrementally to negative values between 0 and -5, depicting the multiplication process.
Transcribed Image Text:**Educational Worksheet** 1. **Problem 1:** Sasha hikes into a canyon. She takes a break at rest stations every \(2 \frac{2}{3}\) miles she descends. If she started at sea level and has hiked down to the fourth rest station, what is Sasha’s elevation now?\ - **Solution:** Multiplying \(2 \frac{2}{3}\) by 4 gives \(10 \frac{2}{3}\) miles below sea level. 2. **Problem 2:** Find the product of \(-\frac{3}{5} \cdot -1.5\).\ - **Options:** - A. \(-1 \frac{3}{25}\) - B. \(-0.09\) - C. \(\frac{3}{25}\) - D. \(0.9\) - **Solution:** D. \(0.9\) 3. **Problem 3:** Jenny has $2.40 deducted from her monthly allowance every time she forgets to do a chore. If she forgets three times in one month, what will be the change in Jenny’s total allowance?\ - **Solution:** $7.20 deduction. 4. **Problem 4:** An airplane descends at a rate of 2,700 feet per minute. Once the airplane starts its descent, what will be its change in elevation after \(3 \frac{1}{2}\) minutes?\ - **Solution:** The elevation will change by 9,450 feet. 5. **Problem 5:** How does the number line below represent the product of a positive number and a negative number? Explain.\ - **Diagram Explanation:** The number line shows movement from 0 to negative values, illustrating how multiplying a positive number by a negative number results in a negative product.\ - **Explanation:** Each arc on the number line represents multiplication steps, resulting in values moving left on the number line. **Diagram:** - A number line is shown with arcs from 0 moving incrementally to negative values between 0 and -5, depicting the multiplication process.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,