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"Stop imagining" works for me too ://

Is that right DragonSlayer?

what is solution to this complex number exponential: (5 - 3i)^7. Any ideas? Give as many forms as possible, i.e., algebraic, exponential, polar...etc. Thank you very much.

z = (5 - 3i)^7

Algebraic form:
z = -183640+137112i

Exponential form:
z = 229179.733275 × ei 143°15'13″

Trigonometric form:
z = 229179.733275 × (cos 143°15'13″ + i sin 143°15'13″)

Polar form:
r = |z| = 229179.73328
φ = arg z = 143.2537° = 143°15'13″ = 0.79585π
 

stop imagining

No Googling allowed!

Airline fares for a flight from Dallas to Austin are $30 for first class and $25 for tourist class. If a flight had 52 passengers who paid a total of $1360, how many first class passengers were there on the trip?

Let the number of first class=F

Let the number of tourist class=T, then we have:

F + T=52, But,

30F + 25T=1360

Solve the following system:
{30 F+25 T = 1360 |     (equation 1)
F+T = 52 |     (equation 2)
Subtract 1/30 × (equation 1) from equation 2:
{30 F+25 T = 1360 |     (equation 1)
0 F+T/6 = 20/3 |     (equation 2)
Divide equation 1 by 5:
{6 F+5 T = 272 |     (equation 1)
0 F+T/6 = 20/3 |     (equation 2)
Multiply equation 2 by 6:
{6 F+5 T = 272 |     (equation 1)
0 F+T = 40 |     (equation 2)
Subtract 5 × (equation 2) from equation 1:
{6 F+0 T = 72 |     (equation 1)
0 F+T = 40 |     (equation 2)
Divide equation 1 by 6:
{F+0 T = 12 |     (equation 1)
0 F+T = 40 |     (equation 2)
Collect results:
Answer: |     F = 12        and            T = 40
 

Airline fares for a flight from Dallas to Austin are $30 for first class and $25 for tourist class. If a flight had 52 passengers who paid a total of $1360, how many first class passengers were there on the trip?

F+T=52

30F+25T=1360

Now solve them simultaneously.  Can you do that?

what is solution to this complex number exponential: (5 - 3i)^7. Any ideas? Give as many forms as possible, i.e., algebraic, exponential, polar...etc.

I would start by doing a binomial expansion on it.  Have you done that yet?

OR you could just put it straight into the web2 calculator.  

(5 - 3i)^7 = -183 640+137 112i

Well

you can type    y=(x+5)*(x+3)*(x-2)^2

into 

https://www.desmos.com/calculator

and then you will have  the graph so maybe you can answer the questions yourself then :/

30*30 or you can do 3*3=9 then add the 2 zeroes to the end=900=30*30

Just put your decimal or percentage into the calc and press =

Thanks guest, I got the same answer. :)

\(\mbox{The amount of blood collected is }10^{-2}\;L\\ \mbox{One drop}=\frac{1}{1000000 }= 10^{-6}\;L\\ 10,000,000=10^7 \mbox{ Red blood cells}\\ ~\\ In \;10^{-6}\;L\;of\; blood\; there\; is \;10^7\;red\;blood\;cells\\ In \;10^{-6}\times 10^4\;L\;of\; blood\; there\; is \;10^7\times 10^4\;red\;blood\;cells\\ In \;10^{-2}\;L\;of\; blood\; there\; is \;10^{11}\;red\;blood\;cells\\ \)

There is a Spanish version of this site here:http://web2.0calc.es/

thanks Guest.

You do not need to hit the fraction button first

0.333333333333333333333333333333333333333333333333333333333333333333333333333333333333 then hit = gives you 1/3

I will see if it works for others

0.567878787878787878787878787878787878787878787878787878787878787878787878787878787878 then hit = gives you 937/1650

n=-5+-9-4 => n=-18

First enter your repeating decimal such as .3333333333.....etc. On the top right-hand side there are a bunch of lines or bars. Click on them and you should get a drop-down list. Click on "Fractions" and then press the = sign. You should get: 1/3.

sin(x)=20.8*6*0.5

sin(x)=62.5

There is no answer to this.  sin(x) must be between -1 and 1

950 in 1045

950/1045 *100 then put the % sign

Since 1/100 of a liter contains 1/1,000,000 liters of blood drops, the number of blood drops in 1/100 of a liter contains: (1/100) / (1/1,000,000)=10,000 blood drops. But, since each blood drop contains 10,000,000 red blood cells, therefore: 10,000 X 10,000,000=1.0 X 10^11 red blood cells in 1/100 liter of blood.

You have not asked a question, so it is difficult to answer. :/

I assume you want the equation of the line.  Is that your question?

Also,

Can you please put your question in the body of the post, not just in the title because many answerers want to copy and past it into their own answer and we cannot do that if it is only in the title.

Thanks :)

Because you already said hi on this same page. You are just repeating yourself.

This is a maths forum not face book.

Most socializing should  be done as private messages.

A little bit of fun on the forum is good but much of it should be done on the same thread.

Plus, this kind of inane post is attracting some very unsavoury responses on the forum. 

Since the projected distance of the pinhole to the floor was 56cm, and the image was .5cm, then the ratio of the two is:

56/.5=112. But the average distance to the Sun is 149,600,000Km, then the diameter of the Sun is:

149,600,000/112=1.335 X 10^6Km, on this scale. The Sun's diameter is in fact: 1, 392,000Km. Close!.

x=y-3

x+3y=13         substituting the first equation for x into the second, we have

[ y - 3] + 3y = 13      simplify

4y - 3 = 13     add 3 to both sides

4y =   16      divide both sides by 4

y = 4   

And using the first equation,  x = 4 -  3   = 1