generals336
2020-11-09
Answered

the sum of the first 8 terms of a geometric sequence is 6560. The common ratio is 3. What is the third term of the sequence?

You can still ask an expert for help

hesgidiauE

Answered 2020-11-10
Author has **106** answers

The formula for the sum of nn terms of a geometric sequence is

If the sum of the first

Now that we know

Since

asked 2022-06-16

Solving system if equations containing trigonometric functions

In trying to solve the following system of equation:

$20000\times 9.81+a\mathrm{cos}b=0$

$a\mathrm{sin}b=6.17\times 20000$

Find $a$ and $b$.

It gives me something containing "n2" in bold and I don't know why?

$a=-231780.07/(-1{)}^{n2}$

$b=(180\ast (n2\ast pi-0.56143476))/pi$

How do I get the right answer?

In trying to solve the following system of equation:

$20000\times 9.81+a\mathrm{cos}b=0$

$a\mathrm{sin}b=6.17\times 20000$

Find $a$ and $b$.

It gives me something containing "n2" in bold and I don't know why?

$a=-231780.07/(-1{)}^{n2}$

$b=(180\ast (n2\ast pi-0.56143476))/pi$

How do I get the right answer?

asked 2021-06-30

Do the equations

asked 2021-05-16

How do I solve this equation?
$\frac{2}{2w-3}=\frac{w-2}{3w-7}$

asked 2022-04-08

I'm wrestling with this quadratic and trying to figure out how to factor it:

The quadratic equation is

${a}^{2}-9a+14=0$

The quadratic equation is

asked 2022-06-03

How can we use Fourier-Motzkin elimination on system of inequalities with positive coefficients preceding each variable ${x}_{1}$ to ${x}_{2}$. Obviously, in this case we will only have an upper bound as a solution but how do we find it.

For example:

$5{x}_{1}+3{x}_{2}\le 8$

$2{x}_{1}+5{x}_{2}\le 15$

For example:

$5{x}_{1}+3{x}_{2}\le 8$

$2{x}_{1}+5{x}_{2}\le 15$

asked 2022-06-27

$\varphi =0.01\phantom{\rule{thinmathspace}{0ex}}01\phantom{\rule{thinmathspace}{0ex}}02\phantom{\rule{thinmathspace}{0ex}}03\phantom{\rule{thinmathspace}{0ex}}05\phantom{\rule{thinmathspace}{0ex}}08\phantom{\rule{thinmathspace}{0ex}}13\phantom{\rule{thinmathspace}{0ex}}21\phantom{\rule{thinmathspace}{0ex}}34\phantom{\rule{thinmathspace}{0ex}}55\phantom{\rule{thinmathspace}{0ex}}90\phantom{\rule{thinmathspace}{0ex}}46\phantom{\rule{thinmathspace}{0ex}}3\dots $

Is $\varphi $ rational or irrational?

Is $\varphi $ rational or irrational?

asked 2022-06-16

Graphically solving system of inequalitiesJillian is going to college next year and has decided to start working this summer. She makes $20$ dollars an hour working at a farm and $16$ teaching gymnastics. Write $3$ inequalities.

1. Make at most $\mathrm{\$}800$

2. Work more than $10$ hours per week

3. Work less hours as a gymnastics teacher.

If we set $Y$ = gymnastics, $X$ = farm.

Would the following answers fit?

1. $20x+16y<800$ (making at most $\mathrm{\$}800$)

2. $x+y>10$

(working more than 10 hours a week).3. $x>y$ (working more at the farm than the gymastics class)

1. Make at most $\mathrm{\$}800$

2. Work more than $10$ hours per week

3. Work less hours as a gymnastics teacher.

If we set $Y$ = gymnastics, $X$ = farm.

Would the following answers fit?

1. $20x+16y<800$ (making at most $\mathrm{\$}800$)

2. $x+y>10$

(working more than 10 hours a week).3. $x>y$ (working more at the farm than the gymastics class)