Answer:
This is an exponential decay
Because the base of the exponent is 1/4.4 which is less than 1
Step-by-step explanation:
What is exponential growth?
when the base of our exponential is bigger than 1, which means those numbers get bigger.
What is exponential decay?
when the base of our exponential is in between 1 and 0 and those numbers get smaller.
Answer:
45 old houses
Step-by-step explanation:
new houses : old houses
3 : 9
15 : ?
(3 = 1st ratio and 9 = 2nd ratio)
To find the missing ratio, divide the first ratio from the new ratio:
15 / 3 = 5
Take the product and multiply that by the second ratio to find the missing ratio:
9 x 5 = 45
Answer:
(a) 2996 units
(b) 1897 units
Step-by-step explanation:
p = 10,000(1 - 3/3 + e^-0.001x)
(a) p = $500
500 = 10,000(1 - 1 + e^-0.001x)
500/10,000 = e^-0.001x
e^-0.001x = 0.05
-0.001x = In 0.05 = -2.996
x = -2.996/-0.001 = 2996 units
(b) p = $1500
1500 = 10,000(1 - 3/3 + e^-0.001x)
1500/10,000 = (1 - 1 + e^-0.001x)
0.15 = e^-0.001x
-0.001x = In 0.15 = -1.897
x = -1.897/-0.001 = 1897 units
Answer:
Let's solve for x.
4x−2y=20
Step 1: Add 2y to both sides.
4x−2y+2y=20+2y
4x=2y+20
Step 2: Divide both sides by 4.
4x/4
= 2y+20/4
x= 1/2y+5
Answer: x= 1/2y+5
Answer:
(a) Speed = 6.875 m/s
(b) Kinetic Energy = 1.70 kJ
(c) Average power = 1.06 kW
Step-by-step explanation:
Given:
d = 5.5 m
t = 1.6 s
W = 706 N
Part (a)
Using the equation of motion with the assumption of zero initial speed:
The speed of the sprinter then become:
Part (b)
Convert the weight of the sprinter to mass:
KE (Kinetic Energy) can then be calculated as:
Part (c)
The change of the kinetic energy is equivalent to the work done by the sprinter. The average power P is the rate of the work done and can be calculated as
