Answer:
1/2
Step-by-step explanation:
Please see attachment .
The expanded logarithm of log 2 x³y⁻² is = log 3 + 3 log x - 2 log y.
What is a logarithmic function?
A logarithmic function in mathematics is defined as the function which is the inverse of the exponential function. It is denoted by using the word log. For example log 10 = 1
Expanding the given logarithm: log 2 x³y⁻²
Given logarithmic expression is log 2 x³y⁻²
Applying given properties of logarithmic function;
log a + log b = log (ab)
2 log a = log a^2
Now, log 2 x³y⁻² = log 3 + log x³ + log y⁻²
= log 3 + 3 log x - 2 log y
Hence, the expanded logarithm of log 2 x³y⁻² is = log 3 + 3 log x - 2 log y.
To learn more about the logarithmic functions, visit here:
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Answer:
<em>(A) $18</em>
<em>(B) 
</em>
<em>(C) Coefficient of x-term represents the cost for each ride ticket and constant term represents the cost of admission to the fair.</em>
Step-by-step explanation:
(A)
The county fair charges $2.50 per ticket for the rides and Henry bought 15 tickets for the rides.
So, the total cost of the 15 tickets will be: 
He spent total $55.50 on ride tickets and fair admission.
So, the cost of admission to the fair will be: 
(B)
If 
represents the number of ride tickets and 
represents the total cost, then the cost for number of ride tickets is 
So, the linear equation that can be used to determine the cost for anyone who pays for ride tickets and fair admission will be: 
(C)
In the above linear equation, <u>coefficient of x-term is 2.50, which represents the cost for each ride ticket</u>.
And the <u>constant term is 18, which represents the cost of admission to the fair</u>.
Answer:
76
Step-by-step explanation:
The last two digits of powers of 36 repeat in a pattern of length 5:
36^1 mod 100 = 36
36^2 mod 100 = 96
36^3 mod 100 = 56
36^4 mod 100 = 16
36^5 mod 100 = 76
36^6 mod 100 = 36
The last two digits of the power 2015 are the same as those of the 5th power: 76.
Df = g - 10
To solve for d, divide both sides by f.
df / f = (g - 10) / f
d = (g - 10) / f
I hope this explains it.
