Answer:
Step-by-step explanation:
The exponential function is often used to model natural growing or decaying processes, where the change is proportional to the actual quantity.
An exponential decaying function is expressed as:
Where:
C(t) is the actual value of the function at time t
Co is the initial value of C at t=0
r is the decaying rate, expressed in decimal
The concentration of the pollutants starts at Co=5 mg/lt. We also know the pollutant reduces its concentration by 10% each hour. This gives us a value of r = 10% / 100 = 0.1
Substituting into the general equation:
Operating:
Answer:
Workdone = 2450Joules
Step-by-step explanation:
Let the top of the aquarium be at height 0.
Let the bottom of the aquarium be at height 1
F = mg = 2p◇x × g
F= 2000◇x × 9.8
F = 19600◇x
Workdone = 19600xdx
Total workdone = Integral (limits 0.5 -0)19600×dx
Total work = [9800x^2]^0.5
Total work= 9800× 0.5^2 = 2450 Joules
The answer is 115
The sequence of the total apples look like this:
23 _ 46 _ 69_92_X
In which x is the total amount of apples eaten in the october.
From the sequence above we can see that each months gred and george consume additional of 23 apples
proof:
46 - 23 = 23
69 - 46 = 23
92 - 69 = 23
So, the amount of apples they will eat in November is:
92 + 23 = 115
Answer:
24 and 21
Step-by-step explanation:
the ratio of their ages is 8 : 7 = 8x : 7x ( x is a multiplier )
In 6 years
8x + 6 : 7x + 6 = 10 : 9
Express the ratio in fractional form
= 
( cross- multiply )
9(8x + 6) = 10(7x + 6) ← distribute parenthesis on both sides
72x + 54 = 70x + 60 ( subtract 70x from both sides )
2x + 54 = 60 ( subtract 54 from both sides )
2x = 6 ( divide both sides by 2 )
x = 3
Thus
Tony = 8x = 8 × 3 = 24
Vihaan = 7x = 7 × 3 = 21
No, a proportion will have a constant for the ratio m/d
If m = 0.75d, then ratio m/d = (0.75d)/d = 0.75
In this example, the ratio is (.75d-2)/d = 0.75 - (2/d).
Therefore, it is not proportional.
