Answer:
option (a) is the answer in think
Answer:
12.5
Step-by-step explanation:
12x6 is 12 + 5 meters = 12.5m
Answer:
The decay rate is 5%.
Step-by-step explanation:
Let a substance is decaying at the rate of r% per hour from the initial value of P for t hours, then the final value of the substance is given by the function
........... (1)
Comparing this equation with the original equation given as
............ (2) we get,
⇒
⇒ r = 5%.
Therefore, the decay rate is 5%. (Answer)
Answer:
y = 0
Step-by-step explanation:
It is always a good idea to look at the question and make some observations about it. Here, you might observe ...
- all of the bases are powers of 3: 243 = 3^5; 9 = 3^2
- y is a factor of every exponent
The latter observation is important, because it means that when y=0, every exponential expression has a value of 1. Hence y = 0 is a solution.
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To solve the equation, you can write it in terms of powers of 3.
(3^5)^(-y) = (3^-5)^(3y)·(3^2)^(-2y)
3^(-5y) = 3^(-15y)·3^(-4y)
3^(-5y) = 3^(-19y)
-5y = -19y . . . . . . . . equating exponents; equivalent to taking log base 3
14y = 0 . . . . . . . . . . add 19y
y = 0 . . . . . . . . . . . one solution
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The rules of exponents we used are ...
(a^b)(a^c) = a^(b+c)
(a^b)^c = a^(bc)
1/a^b = a^-b
The slope is:
.
________________________________________________________Note:________________________________________________________slope = rise/ run = 15 ft/ 1000 ft ;
= 15/1000 = (15÷15) / (1000÷15) ;
= 1/ (200/3) = 1* (3/200) =
[tex] \frac{3}{200} [/tex] .
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