Answer:
x=−1 or x=−9
Step-by-step explanation:
x2+11x+10=x+1
Step 1: Subtract x+1 from both sides.
x2+11x+10−(x+1)=x+1−(x+1)
x2+10x+9=0
Step 2: Factor left side of equation.
(x+1)(x+9)=0
Step 3: Set factors equal to 0.
x+1=0 or x+9=0
x=−1 or x=−9
Answer:
Caroline buys 3 packs of candles and 5 packs of holders.
Step-by-step explanation:
1.) First, find multiples of 30 by adding 30 to itself. For example, 30, 60, 90.
2.) Second, find multiples of pakcs of holders until it matches the multiples of candle packs. 18, 36, 54, 72, 90.
3.) then you find that Caroline buys 3 packs of candles and 5 packs of candle holders so she has the same amount of both.
Answer:
2 RootIndex 4 StartRoot 4 EndRoot
Step-by-step explanation:
we have

Decompose the number 64 in prime factors

substitute
![64^{\frac{1}{4}}=(2^{4}2^{2})^{\frac{1}{4}}=2^{\frac{4}{4}}2^{\frac{2}{4}}=2\sqrt[4]{4}](https://tex.z-dn.net/?f=64%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D%3D%282%5E%7B4%7D2%5E%7B2%7D%29%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D%3D2%5E%7B%5Cfrac%7B4%7D%7B4%7D%7D2%5E%7B%5Cfrac%7B2%7D%7B4%7D%7D%3D2%5Csqrt%5B4%5D%7B4%7D)
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Answer with explanation:</h2>
Let
be the population mean lifetime of circulated $1 bills.
By considering the given information , we have :-

Since the alternative hypotheses is two tailed so the test is a two tailed test.
We assume that the lifetime of circulated $1 bills is normally distributed.
Given : Sample size : n=50 , which is greater than 30 .
It means the sample is large so we use z-test.
Sample mean : 
Standard deviation : 
Test statistic for population mean :-


The p-value= 
Since the p-value (0.0433834) is greater than the significance level (0.02) , so we do not reject the null hypothesis.
Hence, we conclude that we do not have enough evidence to support the alternative hypothesis that the average lifetime of a circulated $1 bill differs from 18 months.
Answer:
the atoms can have different numbers of valence electrons