Answer:
Problem 9: -1/2
Problem 10: 1/5
Step-by-step explanation:
Problem 10: Label the given ln e^(1/5) as y = ln e^(1/5).
Write the identity e = e. Raise the first e to the power y and the second e to the power 1/5 (note that ln e^(1/5) = 1/5). Thus, we have:
e^y = e^(1/5), so that y = 1/5 (answer).
Problem 9: Let y = (log to the base 4 of) ∛1 / ∛8, or
y = (log to the base 4 of) ∛1 / ∛8, or
y = (log to the base 4 of) 1 /2
Write out the obvious:
4 = 4
Raise the first 4 to the power y and raise the second 4 to the power (log to the base 4 of) 1 /2. This results in:
4^y = 1/2. Solve this for y.
Note that 4^(1/2) = 2, so that 4^(-1/2) = 1/2
Thus, y = -1/2
According to PEMDAS, these are the steps for evaluating this equation -
3-9=-6
-6 x 5 = -30 - 1 = -31
-31 x 6 = -186, + 2 = -184
Now our first answer is -184 (I think this is correct)
Next thing we'll do is the second equation
8-2 = 6
6 x 7 = 42
42 + 4 = 46
Now, we can divide :) -184 / 46 equals -4
Hope this helps :D!
Answer:
C. ECA = BDA
Step-by-step explanation:
An angle is said to be produced whenever two or more lines meet at a point. An interior angle is an angle form within two lines meeting at a point. Then, alternate interior angles are internal angles that are equal due to alternate theorem. These angles should have equal measures.
From the given question, the alternate interior angles by the theorem is;
ECA = BDA
By the alternate interior angle theorem, the alternate interior angles are ECA and BDA. This implies that the measure of <ECA should be equal to the measure of <BDA.
You should graph it first then post
32/850 are defective
22000/850=25.88
25.88×32=828.23
round down to 828
out of 22,000 widgets 828 can be expected to he defective