The maximum heart rate, in beats per minute, that you should achieve during exercise is 220 minus your age, 220−a. your exercise goal is to improve cardiovascular conditioning. use the following formulas to answer parts a and b. lower limit of range h equals=seven tenths left parenthesis 220 minus a right parenthesis 7/ 10(220−a) upper limit of range hequals=four fifths 4/ 5(220 minus a220−a) a. what is the lower limit of the heart range, in beats per minute, for a 47-year-old with this exercise goal?

Lower limit for H is given as = 7/10*(220-a) where a is the age of the person

a. We have to calculate the lower limit for a person whose age is 47

We substitute the age "a" = 47 in the above equation to calculate the lower limit .

Lower limit = 7/10*(220-47)

Lower limit = 7/10*173

Lower Limit = 1211/10 = 121.10 = 121 beats/minute (since we cannot have fractional beats)

Lower limit of the heart​ range in beats per​ minute = 121 beats/minute

reduce the friction between its moving parts

step-by-step explanation:

in fact, by reducing the friction between the moving parts of the machine, it is possible to reduce the energy wasted due to this friction; therefore, more input energy is converted into useful work, and this will improve the efficiency of the machine.

answer: the anser is 3

step-by-step explanation:

c- 2o is equal to 9