3 years ago

What is the value of x in the equation One-third x minus two-thirds = negative 18?

Mathematics

2 answers:

nataly862011 [7]3 years ago

7 0

Answer:

seszjss

Step-by-step explanation:

Julli [10]3 years ago

6 0

Answer:

-52

Step-by-step explanation:

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Eva8 [605]

Substitute $u=\ln x$ , so that $\mathrm du=\dfrac{\mathrm dx}x$ . The integral is then equivalent to

$\displaystyle\int\frac{\mathrm dx}{x\ln^px}=\int\frac{\mathrm du}{u^p}=\begin{cases}\dfrac{u^{p+1}}{p+1}+C&\text{for }p\neq1\\\\\ln|u|+C&\text{for }p=1\end{cases}$

Then transforming back to $x$ gives

$\displaystyle\int\frac{\mathrm dx}{x\ln^px}=\begin{cases}\dfrac{\ln^{p+1}x}{p+1}+C&\text{for }p\neq1\\\\\ln|\ln x|+C&\text{for }p=1\end{cases}$

4 0

3 years ago

Peter plans to build a tree house in his back yard. He needs to know how many square feet of lumber he should buy for the floor.

11Alexandr11 [23.1K]

Answer:

20n

Step-by-step explanation:

Multiply square feet per person times the number of persons to find square feet.

The units analysis looks like this:

$\dfrac{\text{ft}^2}{\text{person}}\times \text{persons}=\text{ft}^2\\\\20\dfrac{\text{ft}^2}{\text{person}}\times n\,\text{persons}=20n\,\text{ft}^2$