Answer: 81, 243, 729
Step-by-step explanation:
<u>STEP ONE: Find a pattern in the sequence</u>
3 ÷ 1 = 3
9 ÷ 3 = 3
27 ÷ 9 = 3
As we can see from the given sequence, each number multiplies 3 to get the next term.
<u>STEP TWO: Find the next three terms</u>
27 × 3 = 81
81 × 3 = 243
243 × 3 = 729
Hope this helps!! :)
Please let me know if you have any questions
Answer:
Each shirt was $8.30
Step-by-step explanation:
Answer:
B.
Step-by-step explanation:
Given: expressions
To find: the expression whose value is closest to e
Solution:
Value of e is 2.718
![\left ( 1+\frac{1}{19} \right )^{19}=\left ( \frac{20}{19} \right )^{19}=2.65\\\left ( 1+\frac{1}{22} \right )^{22}=\left ( \frac{23}{22} \right )^{22}=2.659\\\left ( 1+\frac{1}{20} \right )^{20}=\left ( \frac{21}{20} \right )^{20}=2.653\\\left ( 1+\frac{1}{21} \right )^{21}=\left ( \frac{22}{21} \right )^{21}=2.656](https://tex.z-dn.net/?f=%5Cleft%20%28%201%2B%5Cfrac%7B1%7D%7B19%7D%20%5Cright%20%29%5E%7B19%7D%3D%5Cleft%20%28%20%5Cfrac%7B20%7D%7B19%7D%20%5Cright%20%29%5E%7B19%7D%3D2.65%5C%5C%5Cleft%20%28%201%2B%5Cfrac%7B1%7D%7B22%7D%20%5Cright%20%29%5E%7B22%7D%3D%5Cleft%20%28%20%5Cfrac%7B23%7D%7B22%7D%20%5Cright%20%29%5E%7B22%7D%3D2.659%5C%5C%5Cleft%20%28%201%2B%5Cfrac%7B1%7D%7B20%7D%20%5Cright%20%29%5E%7B20%7D%3D%5Cleft%20%28%20%5Cfrac%7B21%7D%7B20%7D%20%5Cright%20%29%5E%7B20%7D%3D2.653%5C%5C%5Cleft%20%28%201%2B%5Cfrac%7B1%7D%7B21%7D%20%5Cright%20%29%5E%7B21%7D%3D%5Cleft%20%28%20%5Cfrac%7B22%7D%7B21%7D%20%5Cright%20%29%5E%7B21%7D%3D2.656)
Therefore, value 2.659 is closest to the value of e.
So, option B. is correct.
Answer:
False
Step-by-step explanation:
To determine whether the statemaent "If
is true, then
is also true" holds, you can form the truth table:
![\begin{array}{ccccc}a&b&a\Rightarrow b&\neg a&\neg a\Rightarrow b\\1&1&1&0&1\\1&0&0&0&1\\0&1&1&1&1\\0&0&1&1&0\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bccccc%7Da%26b%26a%5CRightarrow%20b%26%5Cneg%20a%26%5Cneg%20a%5CRightarrow%20b%5C%5C1%261%261%260%261%5C%5C1%260%260%260%261%5C%5C0%261%261%261%261%5C%5C0%260%261%261%260%5Cend%7Barray%7D)
When the result of the column
takes value 1 (true), the result of the column
is not always 1, then the statement is false.
Answer:
- 7/12
Step-by-step explanation:
- 1/2 ( 5/6 + 1/3 )
- 1/2 ( 5/6 + 2/6)
- 1/2 ( 7/6 )
- 7/12 or - 0.58