Ratio Definition and 1000 Threads

8) An isosceles triangle has two sides of length $$9x+3$$. The perimeter of the triangle is $$30x+10$$ a) Determine the ratio of the base to the perimeter, in simplified form. State the restriction on $$x$$ Thanks for your help!

Homework Statement Here is the question: I am confused about the solution. In the solution they found that the minimum capacity rate ratio R = C_min/C_max was zero. This is because of the term I circled in the red which I do not understand why it goes towards infinity. Here is the solution...

Homework Statement As you are trying to move a heavy box of mass m, you realize that it is too heavy for you to lift by yourself. There is no one around to help, so you attach an ideal pulley to the box and a massless rope to the ceiling, which you wrap around the pulley. You pull up on the...

Hello Homework Statement Determine the ratio PV/RT at the critical point for a fluid which obeys Dieterici’s equation p(v-b)=RT exp(-a/RTv) Homework Equations The Attempt at a Solution First ofall i don't really understand this notion of critical point. I found an equation to find it that is...

In a V-Belt Drive, it is said that when a New Belt is installed, the Tension Ratio shouldn't exceed 5:1. But isn't this ratio beyond control and is defined by T1/T2 = μ*α*cosecβ where T1/T2=Tension Ratio, μ=Coefficient of Friction, α=Angle of Wrap, β=Groove Angle of V-Belt. All of these variable...

Homework Statement A mixture of two gases, A and B, exists at pressure p1, volume V, and temperature T1. Gas A is subsequently removed from the mixture in a constant-volume process. The remaining gas B is found to have a pressure p2, volume V, and temperature T2. Express the ratio of the...

Problem: Let $\displaystyle (3x^2+2x+c)^{12}=\sum_{r=0}^{24} A_rx^r$ and $\dfrac{A_{19}}{A_5}=\dfrac{1}{2^7}$, then $c$ is A)4 B)5 C)6 D)7 Attempt: One way I know of to solve such a problem is by using the multinomial theorem but I am reluctant to use it here. It would take a lot of time to...

Hi, I am looking into symmetry breaking and how it (may have) affected the photon/baryon ratio in the primordial universe. I found this wonderful encyclopaedia of cosmology which relates the grand unified theory to an orthorhombic crystal, making analogies for symmetry, spontaneous symmetry...

Hello, i am asking a question: is there any formulation of wind tunnel blockage ratio? i will carry out experimental study in a wind tunnel, the aspect ratio (AR)=5, and what equals the blockage ratio? if someone helps me, i will be very happy :) thank you...

I am studying the angular moment(s) in an atom of H (1s) in the classical model, can you help me understand some obscure points : The mechanical orbital angular moment of the electron in 1s is L = mvr J*s: (m) 9.11*10-31 *(v) 2.1877*106* (r) .52918*10-10 = 1.0546*10-34 J*s = h/2π, the magnetic...

Homework Statement If IB and IC (IB = Base current and IC = Collector current) of bipolar junction transistor are 1mA and 100 mA respectively, determine its current amplification ratio in common emitter configuration.Homework Equations IC=β*IB Where β = current gain = \alpha/(\alpha-1) (is this...

Homework Statement Determine if the following series is divergent or convergent: ## ∑_1^∞ \frac {(2)(4)(6)...(2n)}{n!} ## 2. The attempt at a solution I understand this can be simplified to: ## ∑_1^∞ \frac {(2^n)(n!)}{n!} ## This can easily be seen to be divergent. But when I...

Homework Statement So, we can presumably write that m = g L, where L is the angular momentum, g the ratio wanted, and m magnetic dipole moment of an axially symmetric body. Total mass is M, total charge Q, mass density \rho_m(r)=\frac{M}{Q}\rho_e(r), where \rho_e(r) is charge density...

Homework Statement A man and a women share a sum of money in the ratio 3:2. If the sum of money is doubled ,in what ratio should they divide it so that the man still receives the same amount? Just a gr.8 problem.Forgive me!Homework Equations nopeThe Attempt at a Solution What I couldn't do is...

What is signal to noise ratio ? And how do I calculate it with the wiener filter?

http://C:\Documents and Settings\design3\Desktop\piccs Hey, I want to know how to calculate the gear ratio of the given arrangement in the picture. I am not sure of how to calculate the gear ratio of two gears on the same shaft. Also the input gear is helical and the output gear is a spur...

Hey, I want to know how to calculate the gear ratio of the given arrangement in the picture. I am not sure of how to calculate the gear ratio of two gears on the same shaft. Also the input gear is helical and the output gear is a spur gear. I have mentioned the number of gear teeth, i hope...

$a,b\in R$ $if:\,\, a^2+ab-b^2=0$ $find:\,\, \dfrac {a}{b}=? $

Homework Statement A tailless aircraft of 9072kg mass has a delta wing with aspect ratio 1 and area 37m2. Show that the aerodynamic mean chord of a delta wing, \frac{\int_0^{b/2} c^2 dy}{\int_0^{b/2} c\ dy} is two-thirds of its root chord and that for this wing it is 5.73m. Homework...

hi friends, can anybody clear my concept about the following sentence. " if we use substrates with higher permittivity, like quartz or GaAs that has been used in previous successful experiments, the unit cell will have smaller unit-to-wavelength ratio".

If we were to scatter high energy (say E>>m_e) electrons off each other is there a hand wavy argument to come up with a rough estimate for the ratio of inelastic to elastic cross-sections? Would the dominate inelastic collision between two high energy electrons result in a single photon...

Hi, i was wondering if the following is valid: E[x/y] = E[x] / E[y], given that {x,y} are non-negative and independent random variables and E[.] stands for the expectation operator. Thanks

Homework Statement Consider two projectiles launched on level ground with the same speed, at angles 45°\pm \alpha. Show that the ratio of their flight times is tan 45°\pm \alpha. The Attempt at a Solution projectile 1 launched at Θ = 45° + \alpha: vyf1 = vyi1 + gt tapex1 =...

Hi this may sound like a simple question but I'm trying to find out the relative abundance of hydrogen in its various forms in space: H, H+, H-, H2, H2+, H2- I'd like to know these for our stellar neighborhood involving the solar wind and also for interstellar space outside the heliopause...

Hello All, I have been asked to design and build a rig that will introduce the concept of a mass spring damper system to mechanical engineers in their early years of university. To make it slightly more complex, the rig needs to be torsional rather than linear. My design so far is to use a...

I am currently designing a convergent nozzle for use in experiments and wanted to check something: Will the pressure and density of the flow always expand to ambient (following the isentropic relations) when it reaches the nozzle exit regardless of nozzle contraction ratio and length? Any...

Problem statement Given sin theta (sqrt 3)/2 Determine the domain for the following solution https://www.physicsforums.com/attachments/655052) determine each general solution using the angle measure specified. Revelant equations Attempt at solution1What is the reasoning behind that? For...

Homework Statement The output of a sensor which produces 10000 electrons is connected to parallel RC circuit with Resistance= 50 ohm, and the capacitance=10pF. Calculate the signal to noise ratio at temperature 300K. Homework Equations SNR= 10 log (power of signal/ power of noise) Or...

Homework Statement This is not homework Could you help me understand what happens to this function \frac{1}{\sqrt{100..1^2+199...9}- 100...1} when the dots are filled with 0's and 9's , shouldn't the result be 1/.99999...)= 1.? but if to this input...

Velocity ratio is defined as the ratio of the distance moved by effort and load, in the same time interval. It is said and known : that in the first order of lever, velocity ratio is usually greater than 1 but could be less or equal to 1. Why do we say that? And what does it mean? In the...

^{}Homework Statement The current input of a system is 250mA. If the current ratio of the system is 15dB , determine (i) the current output and (ii) the current ratio expressed in nepersHomework Equations \alpha[dB]=20log_{10}(I_{out}/I_{in})The Attempt at a Solution current ratio...

Hi guys. I have something stuck in my head since a few days and I'd like to have your opinion about that. I don't know if I am missing something in my assumptions so please feel free to enlighten me. Here's the thing: considering two protons (or electrons), one fixed at the origin of the frame...

A line divides an equilateral triangle into two parts with the same perimeter and having areas $A_1$ and $A_2$ respectively. Prove that $\dfrac{7}{9} \le \dfrac{A_1}{A_2} \le \dfrac{9}{7}$.

Homework Statement If a 0.505m long wire is excited into its lowest electrical resonance by a 2.2E7 Hz electrical oscillator, what is the ratio of the speed of the electrical current to that of light? Assume that the wire is like a tube with both ends closed. f=2.2E7 L=0.505 v=...

Homework Statement Express the number as a ratio of integers. 10.1(35) = 10.135353535 the part in the left in () is where is is over lined to indicate it is repeating Homework Equations Geometric series The Attempt at a Solution 10.1(35) = 10.1 + .035 = (101)/ (1000) +...

Homework Statement I have measured the amplitude between the first and tenth oscillations for a damped harmonic oscillator (spring with a mass attached). I also have measured the period. First question. Is an (underdamped) harmonic oscillator periodic? Like I know that the solution to the...

hi , this is one simple math but i am not getting the answer. the work done by (x-3) men in (2x+1) days and the work done by (2x+1)men in (x+4) days are in the ratio of 3:10.find the value of 'x'.

hi , i am stuck with a problem . the problem is if a , b , c are in continued proportion ,then prove that (a+b+c)^2/(a^2 +b^2 +c^2) =(a+b+c)/(a-b+c) i have tried solving the problem in different way like breaking the formula of (a+b+c)^2 =a^2 +b^2 +c^2 + 2ab +2bc+2ca , then used...

if x/(b+c-a)=y/(c+a-b)=z/(a+b-c) prove that.. x(by+cz-ax)=y(cz+ax-by)=z(ax+by-cz)

Why c - 14 is radio active though n/p ratio is less than 1.5?

Hello, This is my first post, so I hope this is in the right section and format. I've looked all over the web, but I can't find anything that addresses my question clearly. I know that for an ideal transformer to not lose any power, the turn ratio has to be the square root of the...

Hi. I can't seem to see where I am going wrong or if i have gone wrong as the answer I got for Poissons Ratio looks incorrect. Can anyone help or point me in the right direction? Thanks. An axial load of 28.5kN is applied to a bar of length280mm, width 38mm and thickness 21mm. After the load...

Dear all, I am trying to synthesis a compound as given the paper below. Can someone help me of how to calculate the stoichiometric ratio and amount of each compound (i.e. Nd pieces, As, Fe, Fe2O3, FeF3 powders) required to prepare the same compound as in that paper. Especially I don’t know...

Greetings all, I have been trying to find a method of calculating the yield stress for a material when only given; -The loading type (Two bars soldered together in tension) -The dimensions of the shaft and solder (ie thickness of solder, length, cross sectional area) -The Ultimate...

In the vertical jump, an athlete starts from a crouch and jumps upward to reach as high as possible. Even the best athletes spend little more than 1.00 s in the air (their "hang time"). Treat the athlete as a particle and let ymax be his maximum height above the floor. To explain why he seems...

Homework Statement An electron and a proton are separately placed at rest midway between two oppositely charged metal plates. A) Which way will the electron accelerate? B) Which way will the proton accelerate? C) Which particle, if either, will acquire more kinetic energy just before striking...

I found this on the internet, but did not find the proof. Curious to me is that the the ratio and root test have the same conditions. How can i basically prove this equality? $$\frac{a_{n+1}}{a_{n}} = \sqrt[n]{a_{n}}$$ Thank you!

So if we imagine a rectangle. The aspect ratio is width/height. What if you want the ratio of the parallel sides? Is there a terminnology for that ratio?

Homework Statement three particles having charges 1:2:3 produce the same point on the photographic film in the thomson experiment. The masses are in the ratio of a) 1:2:3 b)3:2:1 c) 2:3:1 d) 1:3:2 Homework Equations a = F/m = Eq/m The Attempt at a Solution Since all the...

"A driver makes and emergency stop and locks up the brakes of the car, which skids to a stop on dry concrete. Consider the effect of rain on this scenario. If the coefficients of kinetic friction for rubber on dry and wet concrete are μk (dry)=0.80 and μk(wet)=0.50, how much farther would the...