Your answer rounded to the nearest hundredths is 0.15.
You can find this by converting the decimals into fractions, then multiplying by the reciprocal of the second fraction. Finally, convert it to decimal form.

8 0

4 years ago

In succession 8, 32, 128 ... what number is next?<br> please

dusya [7]

To find the next number just multiply the previous number by 4:
So in order to find the next number multiply 128 by 4 = 512
The next number in the sequence is 512

Hope i could help
HAVE A GREAT DAY <3

7 0

4 years ago

Read 2 more answers

Reimann Sum... I got it wrong twice... Please help and provide step by step clear explaination. I'd appreciate it.

AnnyKZ [126]

Formula for Riemann Sum is:
$\frac{b-a}{n} \sum_{i=1}^n f(a + i \frac{b-a}{n})$
interval is [1,3] so a = 1, b = 3
f(x) = 3x , sub into Riemann sum

$\frac{2}{n} \sum_{i=1}^n 3(1 + \frac{2i}{n})$

Continue by simplifying using properties of summations.
$= \frac{2}{n}\sum_{i=1}^n 3 + \frac{2}{n}\sum_{i=1}^n \frac{6i}{n} \\ \\ = \frac{6}{n}\sum_{i=1}^n 1 + \frac{12}{n^2}\sum_{i=1}^n i \\ \\ =\frac{6}{n} (n) + \frac{12}{n^2}(\frac{n(n+1)}{2}) \\ \\ =6+\frac{6}{n}(n+1) \\ \\ =12 + \frac{6}{n}$

Now you have an expression for the summation in terms of 'n'.

Next, take the limit as n-> infinity.
The limit of $\frac{6}{n}$ goes to 0, therefore the limit of the summation is 12.

The area under the curve from [1,3] is equal to limit of summation which is 12.

7 0

3 years ago