Answer:
option-B
Step-by-step explanation:
we know that
Sum rule of logarithm:

which is same as
the log of a product (ab) is equal to the addition of log a nad log b
Subtraction rule of logarithm:

which is same as
the log of the quotient of a and b is equal to the log of a minus the log of b
Exponent rule of logarithm:

which is same as
the log of the quantity a raised to b is equal to the product of b and the log of a
so,
option-B is not correct
Answer:
Jogging 6th time.
Step-by-step explanation:
We have been given that Vicki started jogging the first time she ran she ran 3/16 mile the second time she ran 3/8 mile and the third time she ran 9/16 mile.
We can see that the distance Vicki covers each time forms a arithmetic sequence, where 1st term is 3/16.
We know that an arithmetic sequence is in form
, where,
= nth term of sequence,
= 1st term of sequence,
n = Number of terms in sequence,
d = Common difference.
Let us find common difference of our given sequence as:

Since Vicki needs to cover more than 1 mile, so we nth term of sequence should be greater than 1.

Let us solve for n.





We can also write next terms of our sequence as:

Therefore, Vicki will run more than 1 mile when she is jogging for 6th time.
Answer:
k > 7
Step-by-step explanation:
Given the inequality statement: 4k - (5 + 3k) > 2
Distribute -1 into (5 + 3k):
4k -5 - 3k > 2
Next, add like terms:
k - 5 > 2
Add 5 to both sides of the inequality:
k - 5 + 5 > 2 + 5
k > 7
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Y - y1 = m (x + x1)
Solve for m by subtracting the y's and dividing them by the difference of the 2 x's.
-32 - 1 = -33
-8 - 3 = -11
Divide the two to get 3.
Use the first point (as instructed) and plug it into the equation.
y - (-32) = 3 (x - (-8))
y + [32] = [3] (x + [5])
The brackets are the fill in the blanks.
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