I'm a bit confused. What is the difference between r and k? I thought they were the same--k = the kth or the rth number in the row n. Also, how can you introduce new variables such as Ci, Di, A and B when I only started with n and k? I'm sorry I'm not very skilled in math but how would I figure...
I'm doing an investigation on Binomial Coefficients in my HL math class, and the problem reads:
"There is a formula connecting any (k+1) successive coefficients in the nth row of the Pascal Triangle with a coefficient in the (n+k)th row. Find this formula."
Basically, what I did first was...
1. If you shine white light into a pyramid, a spectrum of colors is produced. What happens if you shine this white light if the pyramid is submerged in an aquarium?
a) No spectrum is produced
b) A spectrum is produced, but with the colors in reverse order
c) A spectrum is produced with the...
okay this problem stumped me for a while but here is my work for it, and I just got stuck at the end so if any help can be provided thanks in advance.
sin3x = sinx
sin(2x + x) = sinx
sin2x cos x + cos2x sinx = sinx
2sinx cosx cosx + (2cos^2(x) -1) sinx = sinx
2sinx cos^2(x) +...
Alright. I got 8.5 x 10^18 kw/m^2 for my answer to part a.
And Astronuc said something about Stefan-Boltzmann as a hint to part b. I looked up him in my textbook and he is known for the Stefan-Boltzmann constant which = 5.6699 x 10^-8 W/m^2K^4
It doesn't really say anything much of black...
So P = RS = R(4\pir^2)
But part A says per unit area, which means the demoninator of my units should be an m^2 but the equation P = RS comes out to have units of kW/m because the m on the numerator and the m^2 cancel out to be 1/m.
What did I do wrong?
So let's see if I get this.
Setting the Power Flux as R
R = P/S, where R = 1.40 kw/m^2
and S = 4\pir^2
Therefore, rearranging the equation R = P/S, you want to solve for P, the total power P = RS
Am I correct so far for part A?
"Let the total power of the Sun = P. "
When you say that, do you mean the rate at which radiant energy reaches the surface of the Earth is P?
"Then the power flux at the sun's surface is P/S."
By Power flux are you saying that the Rate of Radiation of Energy Per Unit Area from the sun's...
2. The rate at which radiant energy reaches the surface of the Earth from the sun is 1.40 kW/m^2. The distance from the Earth to the sun is 1.49 x 10^11 m, and the radius of the sun is 6.95 x 10^8 m.
a. What is the rate of radiation of energy per unit area from the sun's surface?
b. If...
But how does one find T_c?
Also, I regret mentioning that I was given the following values:
P_a = 2.7 X 10^3 Kg / m^3
C_a = 910 J/Kg-k
P_c = 8.4 X 10 ^3 Kg/ m^3
C_c = 390 J/ Kg-k
Coefficient of Linear Expansion for Aluminum:
2.4 X 10^(-5)
Coefficient of Linear Expansion for...
The problem is
An aluminum rod with cross-sectional area 0.0400 cm^2 and length 80.00 cm at a temperature of 140.0 Celcius is laid alongside a copper rod of cross-sectional area 0.0200 cm^2 and length 79.92 cm at temperature T. The two rods are laid alongside each other so that they are in...