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3 years ago

Does anyone else like online.... oooor is just me

Mathematics

1 answer:

erma4kov [3.2K]3 years ago

4 0

Online what? if you mean online school yeah i kinda like it better

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In the expansion of

Mumz [18]

By the binomial theorem, the $x^2$ term in the expansion of $\left(1-\frac x4\right)^n$ is

$\dbinom n21^{n-2}\left(-\dfracx4\right)^2=\dfrac{n!}{2!(n-2)!}\dfrac{x^2}{16}$

which suggests that the contribution of the binomial coefficient should make up the remaining factor of 21. That is,

$\dfrac{n!}{2!(n-2)!}=\dfrac{n(n-1)}2=21\implies n=7$

5 0

3 years ago

Find the value of y when x equals 17 -x+y=-27

notka56 [123]

Find the value of y when x equals 17 -x+y=-27
since x is equal to 17 you plug it in the equation as follows...
-17+y=-27
then you add 17 on both sides...
y=-27+17
Answer:
y=-10

6 0

3 years ago

If I place $2,000 in my retirement account at the beginning of each year for 10 years. The account will earn 5 percent interest

Norma-Jean [14]

Answer:

poooooooooooop

Step-by-step explanation:

6 0

3 years ago

Estimate the integral ∫6,0 x^2dx by the midpoint estimate, n = 6

Anettt [7]

Splitting up the interval [0, 6] into 6 subintervals means we have

$[0,1]\cup[1,2]\cup[2,3]\cup\cdots\cup[5,6]$

and the respective midpoints are $\dfrac12,\dfrac32,\dfrac52,\ldots,\dfrac{11}2$ . We can write these sequentially as ${x_i}^*=\dfrac{2i+1}2$ where $0\le i\le5$ .

So the integral is approximately

$\displaystyle\int_0^6x^2\,\mathrm dx\approx\sum_{i=0}^5({x_i}^*)^2\Delta x_i=\frac{6-0}6\sum_{i=0}^5({x_i}^*)^2=\sum_{i=0}^5\left(\frac{2i+1}2\right)^2$

Recall that

$\displaystyle\sum_{i=1}^ni^2=\frac{n(n+1)(2n+1)}6$
$\displaystyle\sum_{i=1}^ni=\frac{n(n+1)}2$
$\displaystyle\sum_{i=1}^n1=n$

so our sum becomes

$\displaystyle\sum_{i=0}^5\left(\frac{2i+1}2\right)^2=\sum_{i=0}^5\left(i^2+i+\frac14\right)$
$=\displaystyle\frac{5(6)(11)}6+\frac{5(6)}2+\frac54=\frac{143}2$

8 0

3 years ago

What is <img src="https://tex.z-dn.net/?f=%5Cfrac%7B14-7x%7D%7B7%7D" id="TexFormula1" title="\frac{14-7x}{7}" alt="\frac{14-7x}{

BartSMP [9]

Answer:

Step-by-step explanation:

(14 - 7x)/7 =

[7(2-x)]/7 =

2-x

4 0

2 years ago