(–4 + i) + 4i = –4 + (i + 4i) is the associative property of addition. Thus, option A is correct.
According to the associative property of additionally, whenever at least three figures are added together, the outcome is unaffected by the sequence in which the individual numbers are added.
In the first given condition is is stated:
(–4 + i) + 4i = –4 + (i + 4i)
-4 + i + 4i = -4 + i + 4i
5i - 4 = 5i - 4
As the LHS = RHS, the property is said to be valid for the associative property of addition.
Therefore, option A is the correct option.
Learn more about associative property of addition, here:
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Which equation shows an example of the associative property of addition?
(–4 + i) + 4i = –4 + (i + 4i)
(–4 + i) + 4i = 4i + (–4i + i)
4i × (–4i + i) = (4i – 4i) + (4i × i)
(–4i + i) + 0 = (–4i + i)
A. (–4 + i) + 4i = –4 + (i + 4i)
Step-by-step explanation:
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Strain A and Strain B will have the same number of cells after 2 hours.
To find out when the two strains of bacteria will have the same number of cells, we need to calculate the time it takes for each strain to reach the same cell count. Let's start with Strain A, which decreases at a rate of 2000 cells per hour. We can set up an equation:
6000 - 2000t = 2000
Solving for t, we find that it will take 2 hours for Strain A to reach the same cell count as Strain B. Therefore, the two strains will have the same number of cells after 2 hours.
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The fundamental counting principle states that the total number of outcomes for any compound event is found my multiplying the total number of possible outcomes for each event. The spinner has 8 possible outcomes which are the integers from 1 to 8, each of the two coins has two possible outcomes, a head and a tail.
By the fundamental counting principle, there total number of outcome is calculated as shown below,
There are 32 possible outcomes.
Using the fundamental counting principle, the total possible outcomes are:
32
The spinner is spun, and 2 coins are flipped.
Now when a spinner is spin then total 8 outcomes are possible.
Since any of the 8 numbers could be obtained on the spin( 1 to 8)
and when a coin is flipped then there are only two possible outcome i.e.
either Head or Tail.
Hence, the total number of possible outcomes are:
8×2×2=32
( since the first possibility 8 is possible from spinner and the '2' outcomes are possible from each of the flip of a coin )
Hence, the answer is:
32
A. 4/3
B. 2/3
C. 7/9
D. 4/27
Answer:
It would be B.
Step-by-step explanation:
divide Y by X.