Answers:
When we evaluate a logarithm, we are finding the exponent, or <u> power </u> x, that the <u> base </u> b, needs to be raised so that it equals the <u> argument </u> m. The power is also known as the exponent.
The value of b must be <u> positive </u> and not equal to <u> 1 </u>
The value of m must be <u> positive </u>
If 0 < m < 1, then x < 0
A <u> logarithmic </u> <u> equation </u> is an equation with a variable that includes one or more logarithms.
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Explanation:
Logarithms, or log for short, basically undo what exponents do.
When going from 
to 
, we have isolated the exponent.
More generally, we have 
turn into 
When using the change of base formula, notice how
If b = 1, then log(b) = log(1) = 0, meaning we have a division by zero error. So this is why 
We need b > 0 as well because the domain of y = log(x) is the set of positive real numbers. So this is why m > 0 also.
What is the upper quartile, Q3, of the following data set? 54, 53, 46, 60, 62, 70, 43, 67, 48, 65, 55, 38, 52, 56, 41
scZoUnD [109]
The original data set is
{<span>54, 53, 46, 60, 62, 70, 43, 67, 48, 65, 55, 38, 52, 56, 41}
Sort the data values from smallest to largest to get
</span><span>{38, 41, 43, 46, 48, 52, 53, 54, 55, 56, 60, 62, 65, 67, 70}
</span>
Now find the middle most value. This is the value in the 8th slot. The first 7 values are below the median. The 8th value is the median itself. The next 7 values are above the median.
The value in the 8th slot is 54, so this is the median
Divide the sorted data set into two lists. I'll call them L and U
L = {<span>38, 41, 43, 46, 48, 52, 53}
U = {</span><span>55, 56, 60, 62, 65, 67, 70}
they each have 7 items. The list L is the lower half of the sorted data and U is the upper half. The split happens at the original median (54).
Q3 will be equal to the median of the list U
The median of U = </span>{<span>55, 56, 60, 62, 65, 67, 70} is 62 since it's the middle most value.
Therefore, Q3 = 62
Answer: 62</span>
Answer:
Adult ticket is $60
Child ticket is $32
Step-by-step explanation:
Let x = price of adult ticket
y = price of child ticket
(1) 175x + 103y = 13796 (2) 2x + 2y = 184
x + y = 92
y = 92 - x
175x + 103(92 - x) = 13796
175x + 9476 - 103x = 13796
72x = 4320
x = 60 y = 92 - 60
y = 32
Hi there!
To write 3 x 3/8 as a unit fraction it is 9/8.
To write 3 x 3/8 as a whole number it is 1 1/8.
Explanation:
When you multiply 3 x 3/8 you get 9/8.
But when you make it to a proper fraction you get 1 1/8.
Hope this helps ;)
Answer: 205
Step-by-step explanation:
Initially, Jill received ballots from the student council election = 45
After, dropping ballot by Mr. Alvarez, new ballots he has = 250
Hence, The Ballots drooping by Mr. Alvarez = new ballots Jill has - Initial ballots Jill has
= 250 - 45
= 205
Therefore, Mr. Alvarez drop off 205 ballots.
