Answer:
Done
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
it is a because the shape is moving to the side
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
Answer:
64
Step-by-step explanation:
Answer:
1 stack of 36
Step-by-step explanation:
First find how much one carton can hold
length is 45
width is 20
height is 40
40 * 20 * 45 = 36,000
Then find how much volume each box has
length is 20
width is 10
height is 5
5 * 10 * 20 = 1000
so each box is 1000 volume
1 stack of 36 is good
