Mathematics

(Easy 10 points) Convert complex numbers to polar form? (5-5isqr3)

Again, that is (5 - 5 i sqr3) (Note: The 5, the i, and the square root of 3 is all combined) Please show any work. 10 points to best answer. Thanks!-5-5√3i is in the form of x+iy, where x = 5 and y

Solve for t. 9^t=4^t+1 Round the answer to three decimal places.

9^t = 4^(t + 1) ∙ ∙ ∙ ∙ ∙ ∙ ∙ ∙ log both sides t log 9 = (t + 1) log 4 t log 9 = t log 4 + log 4 t log 9 - t log 4 = log 4 t( log 9 - log 4) = log 4 t = log 4 / (log 9 - log 4) t = 1.709511291 ≈ 1.71

Plane geometry question

QUESTION: The equation of the plane ABC is 6x + 3y + 2z = 6. Put the equation in the form f(x,y,z) = 1. I am not sure what the form f(x,y,z) actually means. Can anybody enlighten me?-f(x,y,z) just me

Mach each equation with the correct description of its solutions

1. x² - 25 = 0 2. k² = 45 3. b² = - 16 4. m² = 81/64 A. NO REAL NUMBER SOLUTION B. TWO INTEGER SOLUTIONS C. TWO IRRATIONAL SOLUTIONS D. TWO RATIONAL SOLUTIONS HAT ARE NOT INTEGERS-1:B 2:C 3:A

Simultaneous Equations

Could someone please tell me how to work this simultaneous equation out, it is revision for a university exam. y=3x+9 y=2x+7 Please show your workings. Thanks.-Both equations equal y, so set them e

Statistics question please help

A vending machine automatically pours soft drinks into cups. The amount of soft drink dispensed into a cup is normally distributed with a mean of 7.6 ounces and standard deviation of 0.4 ounce. Examin

PDE: find the steady-state temperature u(r,θ) in the upper half plate removing the upper half unit disk:

PDE: find the steady-state temperature u(r,θe) in the upper half plate removing the upper half unit disk: u_rr + (1/r)*u_r + (1/r^2)*u_θθ = 0 , 1 u_r(1,θ) = 0, 0 u(r,0) = 0, u(r,pi) = 1, 1-To get an

Using Logarithms to Solve Exponential Equations

Rules for Logarithms If A and B are positive real numbers and p is any real number, then 1. log (A • B) = log A + log B 2. log (A/B) = log A - log B 3. log A^p = p log A 4. log 1 = 0 Use the function

How to solve propotionla math problem.

On August 5, 2005 U.S. dollars was worth about 0.808 European Monetary Unit (Euro). a) How much would a 250 U.S. dollar be worth in Euros? b)Jamal was traveling in France and saw a sweatshirt that cos

Divide ( x^2 - 49 ) / x^2 y^3 ÷ ( x^2 - 14x + 49 ) / 3 x^2 y^3

Interchange the top and bottom of the second fractional expression to get: (x² - 49)/x²y³ * 3x²y³/(x² - 14x + 49) Then, by factoring each expression, we obtain: (x - 7)(x + 7)/x²y³ * 3x²y³/(x - 7)²

In order to divide a piece of 8.5"x11" paper into 13 rows, what measurement do I use on a ruler

Yeah, my math skills are pathetic, I know. Now that that is established... I have a piece of 8.5x11 paper & I need to draw 13 equal horizontal rows on it, but I cant figure out exactly which measurem

Solve for x. Give exact answer. 3^x= 7

3^x = 7 log 3^x = log 7 x * log 3 = log 7 x = log 7 / log 3 or x = 1.77-i get x=1.77

Algebra Help: Radioactive Decay

Final exam tomorrow and I spent the last hr trying to figure out how to solve this by looking at book, notes and online sources, but no luck. A particular radioactive isotope has a half-life of 1500 y

Prove trig identity help!

cosA + c(B-C) = 2sinB sinC-If you meant this: cos(A) + cos(B-C) Then solve the Left Hand Side. Note that: cos(A) = -cos(B - C) So then: = -cos(B + C) + cos(B - C) = -cos(B)cos(C) + sin(B)sin(C) +

Simplify the radical (help please)

7 and the root of 30 * 2 and the root of 6-It would be very helpful if you indicated what you mean by and. Use symbols (+ - * /) And use sqrt() for radical. Not sure what you are asking... 3 differen