Answer:
m^(5/2)
Step-by-step explanation:
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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
2/8 and 4/16 are equivalent to 1/4
Step-by-step explanation:
<h2>[1]</h2>
- SI = $250
- Rate (R) = 12
% - Time (t) = 4 years
Therefore principal is $500.
<h2>__________________</h2>
<h2>[2]</h2>
- 2/7 of the balls are red.
- 3/5 of the balls are blue.
- Rest are yellow.
- Number of yellow balls = 36
Let the total number of balls be x.
→ Red balls + Blue balls + Yellow balls = Total number of balls
Total number of balls is 315.
A/Q,
3/5 of the balls are blue.
