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- For mammals, resting heart rate scales as mass to the -1/4th power; that is, R is proportional to m^-1/4. The heart rate of a 5000 kg elephant is 30 bpm (beats per minute). What do you predict for the heart rate of a 5.0 kg monkey?The heart of a resting adult pumps blood at a rate of 5.00 L/min. a. Convert this to cm^3/s.b. What is this rate in m^3/s?Question Help ▼ The density (p) of the atmosphere as a function of altitude (A) can be approximated by the model shown in the graph. What are the units of the constant -0.0001? O A. kg/m^3 O B. m^3/kg O C. kg m^3 p= 1.225 e0.0001 A O D. kg/m^2 O E. 1/m O F. m O G. m^2/kg O H. dimensionless Altitude (A) (m)
- In Michael Johnson's world-record 400 mm sprint, he ran the first 100 mm in 11.20 ss; then he reached the 200 mm mark after a total time of 21.32 ss had elapsed, reached the 300 mm mark after 31.76 ss, and finished in 43.18 ss. During what 100 mm segment was his speed the highest?A biologist studies a species of bacteria called FAST, her research reveals that FAST bacteria reproduced prodigiously. If a bacteria culture contains 10 FAST bacteria at time t= 0, the number of FAST bacteria in the culture later time 't' is N(t) = 10 +6t +2t2 where 't' is expressed in seconds. How many bacteria occupy the culture a time t = 10s? At t =11s? Calculate how many net bacteria were born during the interval between t=10 and t=11, assume no bacteria died. Now use calculus to find the birth rate of bacteria (rate at which new bacteria get born) at time t=10s, it may help to sketch a rouch graphy of N vs 't'.a)Find an expression for the bullet's initial speed v_B in terms of m, M, k, and d. Express your answer in terms of the variables m M k d b)What was the speed of a 1.8 g bullet if the block's mass is 1.1 kg and if the spring, with k = 37 N/m , was compressed by 16 cm? Express your answer in meters per second. c)What percentage of the bullet's energy is "lost"? Express your answer in percent to four significant figures.
- The total surface area of the United States is 9.6 x 106 km². Seventy-four percent of this land can support spiders. Given that there are approximately 5.0 × 104 spiders per acre, how many spiders are there in the Uni d States? Recall that 1 acre = 0.004 km2. Number i 8.75 *10^13 Units snidersThe Statue of Liberty in New York City is approximately 305 ft305 ft tall. How many U.S. dimes would be in a stack of the same height? Each dime is 1.35 mm1.35 mm thick. number of dimes: Each dime has a mass of 2.268 g.2.268 g. How much would the stack of dimes from the previous question weigh? mass: g What is the value, in dollars, of the same stack of dimes? value: dollars The 2017 U.S. gross domestic product (GDP) was valued at 19,390,604,000 dollars.19,390,604,000 dollars. How many Statue of Liberty‑height stacks of dimes are needed to match the GDP in value? number of stacks: