What is negative 8 to the fifth power?
1 answer:
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<h3>Answer: one sixth (choice B)</h3>
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Explanation:
The probability of getting heads is 1/2 because there's one side we want out of two sides total
The probability of getting less than 3 is 2/6 = 1/3 since we have two sides we want (rolling a "1" or a "2") out of six sides total.
Multiply the two mentioned fractions: 1/2 times 1/3 = 1/6
1/6 can be written as "one sixth", but I prefer the first format better since it's shorter.
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If you are a visual learner, you can make a table with 2 rows and 6 columns, or vice versa (6 rows and 2 columns). The order doesn't matter.
The two rows represent the events Heads or Tails. The 6 columns show the different outcomes on the number cube. We have 6*2 = 12 different outcomes of rolling a die and flipping a coin.
Of those 12 outcomes, shade in 2 boxes to represent getting heads and either a "1" or "2". Refer to the diagram below.
We have 2 shaded rectangles out of 12 total to get 2/12 = 1/6
The visual representation of a table like this may help show why we multiplied the fractions 1/2 and 1/3 to get the answer. Hint: think of area = length*width.
Answer:
(a) |-9| ≠ |9| is NOT TRUE.
(b) is TRUE
(c) -7 ≤ -5 is TRUE
(d) |-1| ≥ 0 is TRUE.
Step-by-step explanation:
Solving each expression separably:
(a) |-9| ≠ |9|
By the definition of <u>MODULUS FUNCTION</u>: IxI = x, if x > 0
= (-x) if x <, 0
⇒ I-9I = -(-9) = 9, and I9I = 9
So, I-9I = I9I . Hence, |-9| ≠ |9| is NOT TRUE.
(b)
⇒
and (-8) < 3.
Hence, is TRUE
(c) -7 ≤ -5
-7 < -5 on the number line of integers.
Hence, -7 ≤ -5 is TRUE
(d) |-1| ≥ 0
I(-1)I = -(-1) = 1
and 1 > 0
Hence, |-1| ≥ 0 is TRUE.