The solution to the given expression is x = -20/11
<h3>
What are logarithmic functions?</h3>
Logarithmic function are inverse of exponential functions. Given the equation below;
log (6 x + 10) = log 1/2 x
In order to determine the solution to the given logarithmic equation, we will first have to cancel the logarithm on both sides to have
6x + 10 = 1/2x
Collect the like terms
6x - 1/2x = 0 - 10
Find the LCD
12x-x/2 = -10
11x/2 = -10
Cross multiply
11x = -2 * 10
11x = -20
Divide both sides by 11
11x/11 = -20/11
x = -20/11
Hence the solution to the given expression is x = -20/11
Learn more on log functions and graph here: brainly.com/question/2086094
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<span>11:35 - 12:00 = 25 minutes
12:00 - 1:30 = 1 hour and 30 minutes
so </span>25 minutes + 1 hour and 30 minutes = 1 hour and 55 minutes
answer: 1 hour and 55 minutes
Answer:
0.3277 = 32.77%
Step-by-step explanation:
If we want the probability for Sasha being late after the fifth day, we need that in the first five days she is not late, which has a probability of 1 - 0.2 = 0.8
So, multiplying the probability for each day, we have that:
P = 0.8 * 0.8 * 0.8 * 0.8 * 0.8 = 0.3277 = 32.77%
So we have a probability of 32.77% that Sasha's first delay will occur after the fifth day.
Answer:
BC ≈ 1.71
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos70° = 
= 
= 
Multiply both sides by 5
5 × cos70° = BC , thus
BC ≈ 1.71 ( to the nearest hundredth )
