Assume a typical hummingbird has a lifespan of 4.0 years and an average heart rate of 1300 beats per minute. (a) Calculate the number of times a hummingbird's heart beats in its life, and express it in scientific notation. Use 365.24 days per year. (b) A long-lived elephant lives for 61 years, and has an average heart rate of 25 beats per minute. Calculate the number of heartbeats in that elephant's lifetime in scientific notation.

1. (4x365,24x24x60) x 1300 =2.735 x10^9

2. (61x365.24x24x60) x 25 =8.02x10^8

187

To calculate the number of times a hummingbird's heart beats in its life, we can use the following steps:

(a) Calculate the number of minutes in a year:
There are 365.24 days in a year, and each day has 24 hours. Since each hour has 60 minutes, we can multiply the number of days by the hours and minutes: 365.24 * 24 * 60 = 525,936 minutes per year.

(b) Calculate the number of heartbeats per year:
The hummingbird's average heart rate is 1300 beats per minute. We can multiply this by the number of minutes per year to get the number of heartbeats per year: 1300 * 525,936 = 682,716,800 beats per year.

(c) Calculate the total number of heartbeats in its lifespan:
Since the hummingbird's lifespan is 4.0 years, we can multiply the number of heartbeats per year by the number of years: 682,716,800 * 4 = 2,730,867,200 beats in its lifetime.

(d) Express the answer in scientific notation:
To express this value in scientific notation, we move the decimal point to the right until there is one digit to the left of the decimal point, and multiply by the appropriate power of 10. In this case, the number is already in scientific notation, so the answer is 2.7308672 × 10^9 beats.

For the elephant:

(a) Calculate the number of minutes in a year:
Similar to the previous calculation, there are 365.24 days in a year, 24 hours in a day, and 60 minutes in an hour. So, 365.24 * 24 * 60 = 525,936 minutes per year.

(b) Calculate the number of heartbeats per year:
The elephant's average heart rate is 25 beats per minute. Multiply this by the number of minutes per year to get the number of heartbeats per year: 25 * 525,936 = 13,148,400 beats per year.

(c) Calculate the total number of heartbeats in its lifespan:
The elephant's lifespan is 61 years. Multiply the number of heartbeats per year by the number of years: 13,148,400 * 61 = 802,660,400 beats in its lifetime.

(d) Express the answer in scientific notation:
Just like before, we move the decimal point until there is one digit to the left of it and multiply by the appropriate power of 10. So, the answer in scientific notation is 8.026604 × 10^8 beats.