/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 146 Our hearts beat approximately 70... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 0: Problem 146

Our hearts beat approximately 70 times per minute. Express in scientific notation how many times the heart beats over a lifetime of 80 years. Round the decimal factor in your scientific notation answer to two decimal places.

Short Answer

Expert verified
The heart beats approximately \(2.94 \times 10^{9}\) times over a lifetime of 80 years.

Step by step solution

01

Calculate the total beats per minute in a year

Firstly, calculate the total number of minutes per year by multiplying the minutes per hour, hours per day, and days per year (60 minutes times 24 hours times 365.25 days). Then, multiply this result by the number of heart beats per minute. So it's \( 70 \ times 60 \ times 24 \ times 365.25 \). Calculate this expression to get the total heartbeats in a year.
02

Calculate the total beats in 80 years

Secondly, find out the total number of heartbeats in a lifetime of 80 years. Multiply the number of heartbeats in a year by 80. That would be the result from Step 1 times 80.
03

Convert the total beats to scientific notation

Next, convert this final number to scientific notation. Remember, a number in scientific notation is expressed as \(a \times 10^n \), where \(1 \leq a < 10 \) and \(n \) is an integer. Adjust the decimal point of the number to obtain a factor \(a \) that is between 1 and 10, noting the positions moved as the exponent \(n\). If the decimal was moved to the left, \(n \) is positive; if to the right, \(n \) is negative. Also, it's necessary to round the decimal factor (\(a\)) to two decimal places.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

$$\text { Factor completely.}$$ $$10 x^{2}(x+1)-7 x(x+1)-6(x+1)$$

A football was kicked vertically upward from a height of 4 feet with an initial speed of 60 feet per second. The formula $$h=4+60 t-16 t^{2}$$ describes the ball's height above the ground, \(h,\) in feet, \(t\) seconds after it was kicked. Use this formula to solve Exercises \(19-20 .\) What was the ball鈥檚 height 2 seconds after it was kicked?

Find the union of the sets. $$\\{a, e, i, o, u\\} \cup \varnothing$$

$$\text { factor completely.}$$ $$x^{4}-y^{4}-2 x^{3} y+2 x y^{3}$$

Determine whether each statement in Exercises 43鈥�50 is true or false. $$-\pi \geq-\pi$$
See all solutions

Recommended explanations on Math Textbooks

Probability and Statistics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Pure Maths

Read Explanation

Applied Mathematics

Read Explanation

Decision Maths

Read Explanation

Mechanics Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.