Answer:
B. ![\frac{3+\sqrt{29} }{2}](https://tex.z-dn.net/?f=%5Cfrac%7B3%2B%5Csqrt%7B29%7D%20%7D%7B2%7D)
Step-by-step explanation:
![\frac{-(-3)\sqrt{(-3^2-4(1)(5)} }{(2)(1)}](https://tex.z-dn.net/?f=%5Cfrac%7B-%28-3%29%5Csqrt%7B%28-3%5E2-4%281%29%285%29%7D%20%7D%7B%282%29%281%29%7D)
![=\frac{-(-3)+\sqrt{29} }{2}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B-%28-3%29%2B%5Csqrt%7B29%7D%20%7D%7B2%7D)
Answer:
3,717,000
Step-by-step explanation:
The calculation of paperback copies is shown below:-
Let us assume hardback copies is x, so paperback copies will be 9x
now the equation is
35,000 + x + 9x = 448,000
10x = 448,000 - 35,000
10x = 413,000
![= \frac{413,000}{10}](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B413%2C000%7D%7B10%7D)
= 41,300
Therefore, the paperback copies are
= ![9\times 41,300](https://tex.z-dn.net/?f=9%5Ctimes%2041%2C300)
= 3,717,000
Hence, the paperback copies is 3,717,000
D because there are more pair of white socks than black socks
Answer:
The statement
and the statement
are logically equivalent.
Step-by-step explanation:
You use truth tables to determine how the truth or falsity of a complex statement depends on the truth or falsity of its components.
There are four steps to building a truth table:
- Determine the number of different propositions in the statement, for this case two (p and q)
- The main operators have to be identified.
For the first statement we have:
two operators and (
) and not (
).
For the second statement
we have two operators or (
) and not (
)
3. Next, the basic input values are assigned to each letter.
4. The final step is to calculate the values of each logical operator.
Following these steps, we can generate the truth table.
Two statements are logically equivalent if, and only if, their resulting forms are logically equivalent when identical statement variables are used to represent component statements.
We can see from the truth table that the statement
and
have the same truth values, so they are logically equivalent.