**Problem Statement:** Rewrite \(\frac{\sqrt[4]{p}}{6p^2}\) in the form \(kx^p\). **Solution Template:** - \( k = \) [Box to fill] - \( p = \) [Box to fill] **Answer Section:** - [Empty Answer Box] - [Empty Answer Box] Note: The equation is presented with text and input boxes for \(k\) and \(p\) to be filled by the student. The goal is to express the given expression in the specified format. During a flu epidemic in a small town, health officials estimate that the number of people infected \( t \) days after the first case was discovered is given by \( S(t) = 17t^{5/4} \). After how many days will 775 people be infected? Round to one decimal place. \( t = \) [blank space] days. **Answers** | Answers | |---------| | Answer | --- To solve this problem, set \( S(t) = 775 \) and solve for \( t \): \[ 775 = 17t^{5/4} \] 1. Divide both sides by 17: \[ \frac{775}{17} = t^{5/4} \] 2. Calculate the left side: \[ 45.588 = t^{5/4} \] 3. Raise both sides to the power of \( 4/5 \): \[ t = (45.588)^{4/5} \] 4. Use a calculator to find \( t \). This process will yield the number of days \( t \) after which 775 people are infected.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Problem Statement:**

Rewrite \(\frac{\sqrt[4]{p}}{6p^2}\) in the form \(kx^p\).

**Solution Template:**

- \( k = \) [Box to fill]
- \( p = \) [Box to fill]

**Answer Section:**

- [Empty Answer Box]
- [Empty Answer Box]

Note: The equation is presented with text and input boxes for \(k\) and \(p\) to be filled by the student. The goal is to express the given expression in the specified format.
Transcribed Image Text:**Problem Statement:** Rewrite \(\frac{\sqrt[4]{p}}{6p^2}\) in the form \(kx^p\). **Solution Template:** - \( k = \) [Box to fill] - \( p = \) [Box to fill] **Answer Section:** - [Empty Answer Box] - [Empty Answer Box] Note: The equation is presented with text and input boxes for \(k\) and \(p\) to be filled by the student. The goal is to express the given expression in the specified format.
During a flu epidemic in a small town, health officials estimate that the number of people infected \( t \) days after the first case was discovered is given by \( S(t) = 17t^{5/4} \).

After how many days will 775 people be infected? Round to one decimal place. \( t = \) [blank space] days.

**Answers**

| Answers |
|---------|
| Answer  |

---

To solve this problem, set \( S(t) = 775 \) and solve for \( t \):

\[ 775 = 17t^{5/4} \]

1. Divide both sides by 17:

\[ \frac{775}{17} = t^{5/4} \]

2. Calculate the left side:

\[ 45.588 = t^{5/4} \]

3. Raise both sides to the power of \( 4/5 \):

\[ t = (45.588)^{4/5} \]

4. Use a calculator to find \( t \).

This process will yield the number of days \( t \) after which 775 people are infected.
Transcribed Image Text:During a flu epidemic in a small town, health officials estimate that the number of people infected \( t \) days after the first case was discovered is given by \( S(t) = 17t^{5/4} \). After how many days will 775 people be infected? Round to one decimal place. \( t = \) [blank space] days. **Answers** | Answers | |---------| | Answer | --- To solve this problem, set \( S(t) = 775 \) and solve for \( t \): \[ 775 = 17t^{5/4} \] 1. Divide both sides by 17: \[ \frac{775}{17} = t^{5/4} \] 2. Calculate the left side: \[ 45.588 = t^{5/4} \] 3. Raise both sides to the power of \( 4/5 \): \[ t = (45.588)^{4/5} \] 4. Use a calculator to find \( t \). This process will yield the number of days \( t \) after which 775 people are infected.
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