Answer:
B and D
Step-by-step explanation:
B:
Anything to a negative power means that it is 1/that to the positive power.
E.g. x^-1 = 1/x^1
In other words, anything to the power of a negative switches sides of a fraction (i.e. if in numerator moves to denominator and vice versa.)
1/x^-1 = 1/1/x^1 which is just equal to x, because there are x number of 1/xs in one (1/x * x =1) Therefore Option B is equal to just x.
D: (assuming the first given term is x^1/3 and not X1/3 (?) Correct me if I'm wrong).
x^1/3 * x^1/3 * x^1/3 is also equal to just x.
This is because when multiplying together terms with the same base (x in this case) the exponents just add together, so:
x^1/3 * x^1/3 * x^1/3 = x^(1/3 +1/3 +1/3) = x^1 = x.
Therefore B and D are equivalent because they both equal x.
Hope this helped!
Answer:
$ 900
Step-by-step explanation:
Simple interest = Principle * Time * Rate / 100
Now by substituting :
27 = Principle * 2 * 1.5 / 100
Principle = 27 * 100 / 2 * 1.5
Principle = 2700 / 3
So Principle = $ 900
Hope it helps
Answer:
C. 0.68
Step-by-step explanation:
Given;
number of products sold in a day by toll-free sales line = 85 products
number of calls in a day = 125
The daily success rate of the sales line is given by the ratio of the total products in a day to total number of calls in a day.
The daily success rate of the sales line = total products sold / number of calls
The daily success rate of the sales line = 85 / 125
The daily success rate of the sales line = 0.68
Therefore, the daily success rate of the sales line is 0.68
Answer:
<u>The correct answer is B. 36</u>
Step-by-step explanation:
1. Let's review the information given for answering the question correctly:
Data set given:
18
36
11
45
36
19
14
18
36
2. What is the mode for this data set?
Let's recall that the Statistical Mode is the number that is more frequently repeated in a group of numbers. If no number is repeated, then there is no mode for the list or set.
In this specific set, we can notice that 18 is repeated two times and 36 is repeated three times. Therefore, the mode for this set of ages of people riding a bus is 36.
<u>The correct answer is B. 36</u>
Answer:
x^2 = a/b (option a)
Step-by-step explanation:
If we have square root at the top and bottom then we take single square root with fraction inside
To remove square root we take square on both sides because square and square root will get cancelled
x^2 = a/b is true
