2 years ago

If Anita has read 55 of the 245 pages in her book, what percent of the book has she read?

Mathematics

1 answer:

givi [52]2 years ago

3 0

Answer:

22.45%

To two decimal places

Step-by-step explanation:

A book has 245 pages and she has only read 55 of the pages. To get the percentage:

55/245 and then multiply it by 100.

55/245

=O.2245 (To four decimal places)

0.2245 x 100

22.45% (To two decimal places)

She has only read 22.45% of the book. To convert it to a whole number, that's 22% of the book has been read

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70% is equal to 175$ dollars how many dollars are in 100%

zheka24 [161]

100% = $250

divide $175 by 70 to obtain 1% then multiply by 100 for 100%

100% = $175 × $\frac{100}{70}$ = $250

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3 years ago

Find quadratic polynomial which best fits the function f(x)=e^x and x=0, in the sense that g(0)= f(0), and g'(0) = f'(0), and g"

Dmitriy789 [7]

Let $g(x)=ax^2+bx+c$ . Then

$\begin{cases}g(0)=c\\g'(0)=b\\g''(0)=2a\end{cases}$

Meanwhile, since $f(x)=e^x$ , you have $f(0)=f'(0)=f''(0)=e^0=1$ .

It follows that $a=\dfrac12$ , $b=1$ , and $c=1$ , so that the quadratic fit for $f(x)=e^x$ that satisfies the given points is

$g(x)=\dfrac12x^2+x+1$

Note that this is just the second-order Taylor polynomial for $e^x$ about $x=0$ .