So, the smaller the exponent the smaller the number. So one that is -9 is very small.
We first want to compare the numbers through the exponents.
-9 is the lowest exponent, meaning it is the smallest number, so any answer that doesn't start with 7×10^-9 is incorrect
Meaning we can cross out answer choices A and B
-7 is the next to smallest exponent, but Choices C and D both have 4×10^-7 as the second, so we cannot out anymore answers.
After that the final two numbers each have the same exponent, so then we look at the actual numbers.
Which are 1 and 2, they are each risen to the 4th power, meaning they have 4 zero's after the number.
So the two numbers we have are 10000 and 20000
10000 is less than 20000, so that means 1×10^4 comes next in our ordering of least to greatest, leaving 2×10^4 as the greatest
So we order them properly from least to greatest, and our chart is:
7×10^-9 < 4×10^-7 < 1×10^4 < 2×10^4
This is the same as answer choice C, so C is your answer! Hopefully this all makes sense!
Answer:
<u>48.43552415324934</u>
Step-by-step explanation:
61.73²-38.27² = 2346
= 48.43552415324934
The order goes 4, 3, 2, 1
Answer:
3
Step-by-step explanation:
2(x + 1) = 3(5 - x) + 2
Distribute,
2(x + 1) = 3(5 - x) + 2
2x + 2 = 3(5 - x) + 2
Rearrange terms,
2x + 2 = 3(5 - x) + 2
2x + 2 = 3(-x + 5) + 2
Distribute,
2x + 2 = 3(-x + 5) + 2
2x + 2 = -3x + 15 + 2
Add the numbers,
2x + 2 = -3x + 15 + 2
2x + 2 = -3x + 17
Subtract 2 from both sides,
2x + 2 = -3x + 17
2x + 2 - 2 = -3x + 17 - 2
2x = -3x + 17 - 2
2x = -3x + 15
Add 3x to both sides,
2x = -3x + 15
2x + 3x = -3x + 3x + 15
5x = -3x + 3x + 15
5x = 15
Divide both sides by the same factor (15),
5x = 15
5x/5 = 15/5
x = 15/5
x = 3
Hence, the answer is 3.
Use the conditional probability formula, P(a|b) = P(a and b)/P(b)
