Base Definition and 586 Threads

Been stuck on this one for a while now. Base case is easy, n=1, we have x <=1/3, so trivially 1-x>= 2/3 and we are done. The issue is with the inductive step, I don't know how to use the hint, infact I am struggling to understand what is meant by the hint. Any help (or a full solution) would...

Transforming ##0.7_8## to base ##5## by multiplying ##5##: ## \begin{array}{r} 0.7 \\ 5 \\ \hline 4.3 \\ 5 \\ \hline 1.7 \\ \end{array} ## ##0.7_8={0.\dot{4}\dot{1}}_5##. This is the correct answer. Transforming ##0.12211_3## to base ##9## by multiplying ##9##: ## \begin{array}{c}...

In base ##7##, only the digits ##0,1,2,3,4,5,6## can be used. So ##7 \times 7 = 49## in base ##10##, but ##49## is a multiple of ##7## seven times, so at the right-most digit position of the answer, I can put down a ##0## and carry a ##7 ## to the next-left digit position. I can't put down ##7##...

So I know that I can get whether an acid is strong or not from a table where if ##pK_a## < 0 than it is a strong acid, but there is no such table for bases, so how do I determine whether a base is strong or weak? Also.. for metalhydroxides MOH, which will be strong and which are weak bases...

Hello all, Textbooks define fundamental or base quantities as those quantities which are not expressed in terms of other quantities and they define derived quantities as those quantities which are expressed in terms of other quantities. I have the basic understanding that the choice of a set of...

Hello, I have been working on this subject but I am not sure how to deal with it. I am looking to prove how can vinegar attenuate the pain of a bee sting. I have chosen a specific vinegar that is of 6° and 50 ml and Know the molecular weight of acetic acid is 60g/mol. The bee sting contains...

Hello , the problem that i refer to is present when we try to calculate the pH of a solution without any assumption. in a lecture entitled "calculating the pH of a strong acid/base solution " after adding a certain amount of HCl in water we are asked to calculate the pH (the amount of HCl and...

My specific system will benefit from having the MOSFET base plate floating. Are there any downsides to leaving a MOSFET base plate floating? Are there any reasons not to?

First, I tried to find the equation of line passing through (2, 0) and (0, 3) and I got ##y=3-\frac{3}{2}x## Then I set up equation for the area of one slice, ##A(x)## $$A(x)=\frac{1}{2} \pi r^2$$ $$=\frac{1}{2} \pi \left( \frac{1}{2}y\right)^2$$ $$=\frac{1}{2} \pi...

Hi, I've checked the literature but couldn't find any formulas or examples for this particular problem involving heat sink with straight fins: As you can see, I want to assume: - power at the bottom surface - convection (known ambient temperature and heat transfer coefficient) at the...

Now this is a textbook example with solution. I understand working to solution...my only reservation is on how they used acceleration. The cyclist, i understand was traveling at a constant acceleration of ##2## ##m/s^2## before reaching the top part of the slope. Now, if he is descending...

So I am trying to understand how to estimate the amount of deflection [D] the vertical beam shown above would experience if the base it is attached to is accelerating at a constant acceleration [a] of 9.81 m/s. I assume the Force [F] would be equal to weight of the vertical beam (mass x...

Hey! :giggle: Consider a representation of signed integers of base $B$, in which the digits are listed in descending order of importance, with the least significant digit corresponding to a positive, and the next digits to an alternate negative and positive value. Thus, a number of this...

I installed snort and I want to connect the database with BASE but an error occurs, I don't know where I went wrong, everything is running smoothly but not with BASE connection with the database I suspect if I'm wrong when running the command: # sudo mysql_secure_installation what should i do...

Help

Normally you would deprotonate a ketone alpha carbon with a strong base like KOH or LDA, but in compounds where ester functional groups are also present, this would cause annoying side reactions. Since the pKb of acetate (around 9.25) isn't much lower than the pKa of an alpha carbon (let's say...

What is true about the pK of the analyte? a) pKa = 9.2 b) pKb = 9.2 c) pKb = 4.8 d) pKa = 11.7 The halfway point is at point 4, at approximately pH=9.2. Therefore, the pOH = pKb = 4.8, and I think the answer is c). The solution says b) is the correct answer. Could anyone explain why, or whether...

I think (C) should be one of the answers too. I think that base-excision repair does not need the 5' to 3' exonuclease activity of Pol I, either. Am I right?

Hello, I am trying to find base voltage. In attached picture (using Multisim) there are two separate circuits. Here is how I am doing the voltage divider: Circuit on right: Vb = (Vcc - .7)*R6/(R6 + R5) = 3.2V which matches Multisim result. No problem here. Circuit on left: Vb = (Vcc -...

I studied about 20 pages, I understand the base class access specification as shown; My question is why is it necessary to have private and protected base class access specification? If z is public in Base class, other programs can access z directly regardless the Derived class say it's private...

Would love some insight: We're always taught that you can tell a leaf by the axillary bud where the petiole connects to the stem. But what if the axillary bud has developed into a stem/branch? Would it be correct to say that leaves often lack axillary buds at their junction with the stem (maybe...

A proper number is expressed in \pi in a similar way as a decimal integer is expressed in base 2. For example, 4375_{\pi} = 4{\pi^3}+3{\pi^2}+7{\pi}+5. The only exception I make is that the 10 digits are included when expressing a number with \pi. To clarify, the first positive such numbers are...

I am trying to design a free standing stand for a pyrometer, which weighs 750g. The pyrometer needs to be 1.5 metres above ground level. The stand will be constructed entirely in steel. The layout of the stand is shown in the uploaded diagram Pyro_stand.gif. How can I derive expressions for the...

We have been requested to run this on linux. I am able to read in the original base system and then I am able to enter the number. As soon as I enter the original number the system reads out "Enter the base of the output:" then does not allow the user to enter the second base. Instead it just...

Hello, I'm reading a paper at the moment and I came across this: We now apply the solution technique to a single-phase, 3 kW, 240 V ASD heat pump. The ASD has smoothing capacitor C = 4200 pF, (corresponding to approximately 6% ripple in dc voltage), and total impedance (sum of Thevenin and...

How I would have guessed you were supposed to solve it: What you are supposed to do is just take the gradients of all the u:s and divide by the absolute value of the gradient? But what formula is that why is the way I did not the correct way to do it? Thanks in advance!

Let the vertex of the cone be ##O##, the contact point on the cone all the way to the right be ##D## touching ground. Then ##v_{\text{D relative to the table}} = v_{D/table} =0## since it rolls without slipping. Due to relative motion $$\vec v_{P/table} = \vec v_{P/D} + \vec v_{D/table} = \vec...

##V_{BE}## is basically the difference in voltage between the base terminal and the emitter terminal. Normally when silicon is used and the transistor is biased to operate in the active region, ##V_{BE}## = 0.7 V approximately. The way I understand this is that for an npn BJT, the applied...

Practically it is said that, given two spin states |u⟩ (up) and |d⟩ (down) - which are the spin measured along the +z and -z semiaxes - such that they are orthogonal ( ⟨u|d⟩ = ⟨d|u⟩ = 0), it is possible to write any other spin states using a linear combination of these two (because they are a...

Hello! When moving an object, how do you describe the changes when you push from a narrow base vs a wide base? For example, say you push something heavy with your palm vs your index finger. It feels easier to push from a palm rather than a finger even if the force from my arm is the same but...

I don't really have any idea how to approach this, but the answer says that it is the compounds which are more basic than ammonia liberate it.

I apologize: despite my verbosity, this is, I hope, a simple question.) Consider the following relationship between a rotating reference frame and an inertial reference frame (both Bold), through a rotation matrix: (the superscript is to designate the rotating frame e(1) and the I is for the...

This topic is quite confusing. For instance, if I write ##14_6##, do I pronounce this as "ten", even though we'd probably just say "one-four, base six"? That is to say that we'd treat "ten" as a number of things that we could count out (i.e. corresponding to a certain number of sticks). Another...

Fgravity = m*g Ffriction = k*A*v^2 Ftotal = Fgravity - Ffriction a = Ftotal/m v = v+a*dt if t<7 then Fgravity>Ffriction if 7<t<67 then v =55,88 (meters per second) if t>67 then A = 45 (square meter) if t>67 then Fgravity<Ffriction the t defines the seconds the first 7 seconds are the free fall...

Anyone who has an idea for how to calculate the irradition [W/m2] to the base of a cylinder with radius R, height H, absorption coefficient k, and temperature T? I've looked at the approach with mean beam length by Hottel but cannot figure out what to do when it is the base of the cylinder that...

So my professor covered acids and bases recently, and this is how he presented the method (please see attached word document). I believe its the same as the I.C.E method, though I am not sure. Anyways my problem is perhaps conceptual, but I don't understand why the concentrations at equilibrium...

Add in base 20 1HE1C +JDF0= 2H7GC from calculator By hand I couldn't get the H Using 1 2 3 4 5 6 7 8 9 A=10 B=11 C=12 D=13 E=14 F=15 G=16 H=17 I=18 J=19 K=20

I wonder it for a long time and still couldn't find a reliable source. I've seen some posts on the internet saying that welds are mostly stronger than the base material but at first glance it contradicts with my intuition. I'm working on a bicycle frame for myself and the welds are important for...

A commenter at Quora said that is possible for there be something like 12π which would evidently be ( π + 2 ). This seems ridiculous. https://www.quora.com/What-mathematical-symbol-is-the-hardest-to-explain-to-non-mathematicians/answer/Peter-James-Thomas

Everything is okay besides the current gain of this circuit, which is "g" there The formula of current gain is I_out/I_in If I call the current flows to R_e I_2, according to KCL, the following formula must be satisfied. I_in + (β+1)I_b = I_2 Therefore, to know I_in, we should use the...

Because of character limit I have exposed my question in the attached pdf

##I_{total} = (I_{1} + A_{1}d_{1}^{2} ) + (I_{2} + A_{2}d_{2}^{2}) + (I_{3} + A_{3}d_{3}^{2})##(d is the distance between centroid of the individual box and centroid of whole shape.) By negative area method by joining the gaps in I section. ##I_{total} = (I_{1} + A_{1}d_{1}^{2} ) - (I_{2} +...

There are already 4 generations of nuclear fission reactors. (Compare https://en.wikipedia.org/wiki/Nuclear_reactor#By_generation.) However among these, there does not seem to be a (maximum) safe nuclear fission reactor design, which immediately stops the nuclear chain reaction when the reactor...

Hi, I am trying to solve the following equation: ##\mathbf (t_s + t_wm)log(p)+ 2t_h (\sqrt{p} - 1) ## ##\mathbf (10+0.01 * 1000) log(36) + 2 * 2(5) ## I think log(36) would be 18. Note log is ##\mathbf log_2 ## Somebody please guide me. Zulfi.

I am attempting the work out the forces acting on the base of a crane. I am yet to come across forces at the base of a crane and am confused as to how to work out the reactionary/moment forces. Any help would be greatly appreciated.

I am evaluating the possibility what magnesium may be the most-easily obtainable structural material on Moon. The following ISRU sequence is proposed: 1) Regolith melt electrolysis produce ingots made of ferro-silicon, as by-product of breathable oxygen production 2) Ferro-silicon ingots are...

Homework Statement -2^x = y Homework EquationsThe Attempt at a Solution When I plug this function in my graphing calculator, it appears to be 2^x reflected across the x axis. This doesn't make sense to me. For example, for x values of 1 and 2, the value of y is not on the same half of the...

Dear all, I am trying to solve the following limit: \[\lim_{x\rightarrow 0}(e^{ax}+x)^{\frac{1}{x}}\] where \[a\] is a constant. I know that the limit is equal to \[e^{a+1}\] but not sure how to prove it. Thank you.