9514 1404 393
Answer:
b⁶
Step-by-step explanation:
The question tells you how to work it: use the relations you studied.
Here, you have the power of an expression with an exponent. The exponents multiply.
_____
<em>Additional comment</em>
A coefficient is used to indicate repeated addition: 3x = x + x + x.
An exponent is used to indicate repeated multiplication: x³ = x·x·x.
This is still true when the exponent is applied to an expression with an exponent:
(b³)² = (b³)(b³) . . . . the factor b³ is repeated 2 times as indicated by the exponent 2
Of course, each of these indicates repeated multiplication, so we really have ...
(b³)(b³) = (b·b·b)·(b·b·b) = b·b·b·b·b·b
And this can be simplified using an exponent to show the repeated multiplication:
= b⁶
Then, by going the long way around, we arrive at ...
(b³)² = b⁶
Answer:
Step-by-step explanation:
Given that the housing market has recovered slowly from the economic crisis of 2008. Recently, in one large community, realtors randomly sampled 38 bids from potential buyers to estimate the average loss in home value.
s = sample std deviation = 3000
Sample mean = 9379
Sample size n = 38
df = 37
Std error of sample mean = 
confidence interval 95% = Mean ± t critical * std error
=Mean ±1.687*486.66 = Mean ±821.003
=(8557.997, 10200.003)
a) If std deviation changes to 9000 instead of 3000, margin of error becomes 3 times
Hence 2463.008
b) The more the std deviation the more the width of confidence interval.
Answer:
x² - x - 6
Step-by-step explanation:
Step 1: Write expression
(5x² + 2x - 5) - (3x² + 3x + 1)
Step 2: Distribute negative
5x² + 2x - 5 - 3x² - 3x - 1
Step 3: Combine like terms (x²)
2x² + 2x - 5 - 3x - 1
Step 4: Combine like terms (x)
x² - x - 5 - 1
Step 5: Combine like terms (constants)
x² - x - 6
Answer:
70% of 0.6 kg is 0.42 kg. To find this you would multiply 0.70 by 0.6.
<h3>
Answer: 35</h3>
A prime number is one where the only factors are one and itself. A composite number has other factors.
You'll have to look at the list of numbers from 1 to 50
In that list, 47 is the largest prime less than 50, and 12 is the smallest composite number greater than 10.
So 47-12 = 35
