2 years ago

A number increased by 27 is 233. Find the number.

Mathematics

1 answer:

miss Akunina [59]2 years ago

8 0

Answer:

206

Step-by-step explanation:

233 - 27 = 206

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2. Find the fraction which is exactly halfway between 1/7 and 4/7

Ksivusya [100]

Answer:

That would be the fraction exactly between 2/7 and 3/7

which would be 2.5 / 7 or 5 / 14

Step-by-step explanation:

4 0

3 years ago

Ava bought 1/2 lb of candy. She is going to share the candy with 2 of her friends. If each of the 3 girls get the same amount, h

dedylja [7]

The three girls will receive 1/6 pound of candy each.

Step-by-step explanation: 1/2 divided by 3 = 1/6

5 0

2 years ago

If f (n)(0) = (n + 1)! for n = 0, 1, 2, , find the taylor series at a=0 for f.

Pie

Given that $f^{(n)}(0)=(n+1)!$ , we have for $f(x)$ the Taylor series expansion about 0 as

$f(x)=\displaystyle\sum_{n=0}^\infty\frac{(n+1)!}{n!}x^n=\sum_{n=0}^\infty(n+1)x^n$

Replace $n+1$ with $n$ , so that the series is equivalent to

$f(x)=\displaystyle\sum_{n=1}^\infty nx^{n-1}$

and notice that

$\displaystyle\frac{\mathrm d}{\mathrm dx}\sum_{n=0}^\infty x^n=\sum_{n=1}^\infty nx^{n-1}$

Recall that for $|x|$ , we have

$\displaystyle\sum_{n=0}^\infty x^n=\frac1{1-x}$

which means

$f(x)=\displaystyle\sum_{n=1}^\infty nx^{n-1}=\frac{\mathrm d}{\mathrm dx}\frac1{1-x}$
$\implies f(x)=\dfrac1{(1-x)^2}$

5 0

2 years ago

I took a picture of the question

cluponka [151]

Answer:

27.5 inches^2

Step-by-step explanation:

Area of a triangle =

$\frac{bh}{2}$