Answer:
a) 5.13beats/min
b) 2.82 beats/min
Step-by-step explanation:
Given the pulse rate of a person modelled by the equation y = 600x^-1/3 for 30≤x≤75
If the height is 39inches, the instantaneous rate of change of pulse rate for the heights will be expressed as;
y = 600(39)^-1/3
y = {600(1/39)}/3
y = 600/39×3
y = 600/117
y ≈ 5.13beats/min
The instantaneous rate for a 39 inches tall person is 5.13 beats per min
b) For a 71inches tall person, the beat rate will be expressed as;
y = 600(71)^-1/3
y = {600(1/71)}/3
y = 600/71×3
y = 600/213
y ≈ 2.82 beats per minute
The instantaneous rate for a 71 inches tall person is 2.82 beats per min
Answer:
=12y+18
Step-by-step explanation:
=(3)(6+4y)
=(3)(6)+(3)(4y)
=18+12y
=12y+18
Answer:
Solution: (-4, 2), x= -4 and y =2
Step-by-step explanation:
-8x - y = 30
-2y = x
Substitute for x
-8*(-2y) - y = 30
16y - y = 30
15y = 30
y = 30/15 = 2
Then x = -2y = -2*(2) = -4
Solution: (-4, 2), x= -4 and y =2
Let the slower runners speed be X kilometers per hour.
Then the faster runners speed would be X+2 kilometers per hour.
The formula for distance is Speed times time.
The distance is given as 30 kilometers and time is given as 3 hours.
Since there are two runners you need to add the both of them together.
The equation becomes 30 = 3x + 3(x+2)
Now solve for x:
30 = 3x + 3(x+2)
Simplify:
30 = 3x + 3x +6
30 = 6x + 6
Subtract 6 from each side:
24 = 6x
Divide both sides by 6:
x = 24/6
x = 4
The slower runner ran at 4 kilometers per hour.
The faster runner ran at 4+2 = 6 kilometers per hour.
Answer:
take a brain break
Step-by-step explanation:
take a drink from the fridge add some refreshing ice sqeeze the the living heck out ur ju and enjoy some sugur in it and enjoy