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3 years ago

7^x=4 “Identify the closest integer value to X.”

Mathematics

1 answer:

vova2212 [387]3 years ago

7 0

Answer:

X=1

Step-by-step explanation:

X is supposed to be a constant number if i understand the question right the ^ is supposed to symbolised a gap so it is 7 + ^ +1 how the question is written is not based to standard acedemic level it would rather be something like the following

2x+2≤1

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From the following figure, why can you not conclude that lines l and m are parallel?

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Answer:

Step-by-step explanation:

For the lines to be parallel then the 2 corresponding angles would have to be congruent. However, they are not , one is 120 the other is 118

Hence corresponding angles postulate are not congruent.

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tresset_1 [31]

1- the answer is 120

$360 - (180 + 60) = 360 - 240 \\ = 120$

2- the answer is 74

$360 - (135 + 77) = 360 - 212 \\ = 148 \\ \\ 148 \div 2 = 74$

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$42 \times 2 = 84$

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Sergio039 [100]

Answer:

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English translation:

If the quality control manager wants to estimate the average life of lamps with 20 hours, with a confidence level of 95% and an error of 10% is assumed. What is the sample size?

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If an initial amount A0 of money is invested at an interest rate i compounded times a year, the value of the investment after t

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Answer:

Following are the solution to the given point:

Step-by-step explanation:

Please find the comp[lete question in the attached file.

Given:

$\bold{ \lim_{n \to \ \infty} (1+ \frac{r}{n})^{nt} =e^{rt}}$

In point 1:

$\to y = (1+ \frac{r}{n})^{nt}$

In point 2:

$\to \ln (y)= nt \ln(1+ \frac{r}{n})$

In point 3:

Its key thing to understand, which would be that you consider the limit n to $\infty$ , in which r and t were constants!

$=lim_{n \to \ \infty} \ln (y) = lim_{n \to \ \infty} nt \ln(1+\frac{r}{n})\\\\= lim_{n \to \ \infty} \frac{\ln(1+\frac{r}{n})}{\frac{1}{nt}}\\\\= lim_{n \to \ \infty} \frac{\frac{-r}{\frac{n^2}{(1+\frac{r}{n})}}}{- \frac{1}{n^2t}}\\\\= lim_{n \to \ \infty} \frac{\frac{rn^2t}{n^2}}{(1+\frac{r}{n})}\\\\= lim_{n \to \ \infty} \frac{rt}{(1+\frac{r}{n})}\\\\= \frac{rt}{(1+\frac{r}{0})}\\\\=rt$

In point 4:

$\to \lim_{n \to \ \infty} = (1+\frac{r}{n})^{nt}$ and

$\to \lim_{n \to \ \infty} = A_0e^{rt}$

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