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
18. ∆PQR =~ ∆RPA ( by SAS )
19. ∆DQR =~ ∆PQR ( by AAS )
20. ∆ARO =~ ∆PQO ( by AAS )
B. DEVELOPING A TIME LOG is the first step in beginning to control you time.
A. A COMBINATION OF LETTERS AND NUMBERS password is used to ensure security.
Time log is basically you recording or logging the activities you have done in a certain time of a day. As you do this daily and check on the log for a few days, you will notice that you have done things that are either unimportant and time consuming, in short time was wasted.
Time log is very helpful especially is you are very busy. It will not only help you manage your tasks in any given time, it will also show you the things you can do in a shorter amount of time and allow you to schedule time for relaxation.
Passwords should be composed of a combination of letter and numbers. Other use special characters just to tighten password security. It is better that users create passwords that may form a special meaning to them so that they will not forget it regardless of length and combination.
Answer:
No, he should have gotten $11.70.
Step-by-step explanation:
50.00
-38.70
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$11.30
Answer:
10 m / minute
Step-by-step explanation:
Starting position = North ; back to North gives a Displacement of 0 ; the from that position to 900 m south gives a final Displacement of 900
Displacement / time
Displacement = 900
Time = 9 minutes
900 / 9
= 10 m / minute
