# Z 100 Blog Topic Ideas

## Competition, Search Volume, and Ad Revenue

Z 100 and search terms related to Z 100 are searched via blog search 513 times a day globally (averaged over the past year). In terms of competition with other sites covering this topic, it is a 20 out of 100, with 100 being the most competitive. Content about Z 100, should earn roughly $10 eCPM assuming reasonable ad placement on a blog site. Globally about$5 is spent advertising against Z 100 blogs per day. Use the knowledge of your search ranking and the competition factor to make an informed decision about how much of this market you can capture.

If these numbers are unexpectedly high, or low, consider revising the phrase you searched for. Drop unnescary prefixes or suffixes to the term, such as "how to" or "who is". If the Questions and Answers aren't focused around your topic try a shorter topic or a more focused phrase. Also consider the alternate search terms found on the right of this page.

When you are writing a blog or news article about Z 100, consider including answers to some of these common questions, or providing background information about the topic based on the types of questions given here.

## How Do You Find The Center Of Mass Of A Region Of Density If It Is Bounded By A Paraboloid And The Cy Plane?

From Mathematics Forum:

How do you find the center of mass of a region of density if it is bounded by a paraboloid and the Cy plane? If the region of the density is q(x,y,z) = 1 / (100 - x^2 - y^2), and it's bounded by the Cy plane and the paraboloid z = 100 - x^2 - y^2, how would I find the center of mass for this? If someone could explain how to do it, and show the work, I'd appreciate it!

Answer: The paraboloid is x² + y² = 100 - z , symmetric around z axis , vertex at z = 100 , limited at the bottom by the plane z = 0 ( plane Cy ) . It can be put like r² = 100 - z and Dav = DC Dy dz = r dz Dr dθ ; The density function , though symmetric around z axis , q(x,y,z) = 1 / ( 100 - (x² + y²) ) is the problem here ! You can see that when (x² + y²) →100 , i.e. z → 0 , ( at the bottom of the paraboloid ) , q → ∞ ; The integral ( see below ) does not converge ; So the center of mass is x = y = 0 and z = 0 ; ●●●●●● Anyway, the theory is : for the solid r² = 100 - z , with 0 ≤ z ≤ 100 ; 0 ≤ r² ≤ 100 , that is 0 ≤ r ≤ 10 ; 0 ≤ θ ≤ 2π q(z,r,θ) = 1 / ( 100 - r² ) The mass would be m = ∫∫∫ q(z,r,θ) Dav = ∫(0,2π) ∫(0,10) ∫(0,100) q(z,r,θ) r dz Dr dθ ; Since the named symmetries MHz = My = 0 ; so x = y = 0 ; ( x = My / m ; y = MHz / m ) ; ( Maxy,Mxz,Myz - first moments about the coordinate planes) ; Maxy = ∫∫∫ z q(z,r,θ) Dav = ∫(0,2π) ∫(0,10) ∫(0,100) z q(z,r,θ) r dz Dr dθ ; Then z = Maxy / m

## How Do You Solve For Z And Find All Solutions For It In Complex Variables?

From Mathematics Forum:

How do you solve for z and find all solutions for it in complex variables? I have three different types of questions but I'm not sure of the steps on how to solve for z. (1) z^5 = 1 + i (2) e^z = -1 + i*sqrt(3) (3) sin(z) = 100 Any help would be greatly appreciated! Thanks in advance! Note: I have figured out the first one and that now makes sense to me, but I still need help with parts 2 and 3.

Answer: One way to do #1 is like this: Change the value 1 + I into magnitude & angle form. Take the proper (positive) Th root of the magnitude, and divide the angle by 5. That's one of the z values. For the the others, add 1/5 of 360 degrees, 2/5th of 360 degrees, etc. Be sure to reduce the angles to proper range (0 to 360 degrees). Once you can do problems like that quickly and easily, then we can discuss the others. #2. z = pi n I + log( -1 + I sqrt(3)), n = 0, 1, 2, .... Log is natural log. #3. z = pi n - sin^-1(100), n = 0, 1, 2, ...

## Why Is The Currency Formatting Wrong In Vb6?

From Programming & Design Forum:

Why is the currency formatting wrong in vb6? I am using Format Currency like this: FormatCurrency((Numbers(z) / 100) But when I run it, it comes up with the pound sign (£) instead of the normal dollar sign ($). It only happens on my version of vb. I have run it on another computer and it works fine. Answer: goto start--->control panel ---> regional and language options ---> under the regional options tab ,select English(United states) then click apply and OK. now run your program ... . definitely it will work. the problem is, u have selected English(United Kingdom) . that's y you are getting pound symbol. ## Two Real Numbers, X And Z, Are Such That X + Z = 100. Use Differentiation To Find The Maximum Value Of The Pr? From Mathematics Forum: Two real numbers, x and z, are such that X + z = 100. Use differentiation to find the maximum value of the pr? Two real numbers, x and z, are such that X + z = 100. Use differentiation to find the maximum value of the product of the two numbers. Any ideas anyone? Answer: Note that X + z = 100 implies that z = 100 - X. Then, since the product of the numbers is CZ, the product in terms of x is: P = CZ = x(100 - 2x) = X - 2x^2. Then, differentiating gives: dP/dx = 100 - X. dP/dx equals zero when: 100 - X = 0 ==> x = 25. With d^2P/dx^2 = -4 < 0, this is a maximum. Therefore, the maximum value of the product occurs when the two numbers are 25 and 100 - 2(25) = 50. I hope this helps! ## The Number Of Ordered Triplets Of Positive Integers Which Are Solutions Of X + Y + Z = 100 Is ? From Mathematics Forum: The number of ordered triplets of positive integers which are solutions of x + y + z = 100 is ? The number of ordered triplets of positive integers which are solutions of x + y + z = 100 is 1. 5081 2. 6005 3. 4851 4. None of these Answer: x + y + z = 100; 0 < x<99 0< y < 99 0 ## How Long Will It Take For My Z Money To Come In The Mail? From Radio Forum: How long will it take for my Z money to come in the mail? I won a z$100 bill..but it hasn't come yet...how much longer should I wait?!?!

Answer: Thanks for all the detail! How long have you waited? Have you called the radio station? I mean, take some responsibility, huh?

## How Would I Find Out The Answer To This Algebra Question?

From Mathematics Forum:

How would I find out the answer to this algebra question? I have the image at http://www.sitmo.com/gg/latex/latex2png.2.php?z=100&eq=(2%20\sqrt{5}-%20\sqrt{2})^2 Can you also tell me how to find out the answer and where I can learn to do it. I to learn it for a upcoming test!

Answer: (2√5 - √2)² 2√5= 2 * √5, hold onto the 2 for a minute. so, √5 - √2 = √3 put the 2 back, so you have (2√ 3)² now, 2² =4 and (√3)²= 3 so the answer is 4√3

## Sodium Hydroxide Dissolves In Water According To The Equation Below. If The Original Temperature Of The Soluti?

From Chemistry Forum:

Sodium hydroxide dissolves in water according to the equation below. If the original temperature of the soluti? Sodium hydroxide dissolves in water according to the equation below. If the original temperature of the solution is 50°C, which might be the temperature after a period of time? NaOH(s) → NaOH(aq) ΔH = −445.1 J.mol W. 90°C X. 10°C Y. 50°C Z. -100 kj

Answer: From the enthalpy change given in the equation dissolving Noah is an exothermic process - i.e. the solution will get hotter as it dissolves. The only answer with a temperature higher than 50°C is answer W.

## How Many Solutions To X+Y+Z+W=1097 In Non-Negative Integers Satisfy At Least 1 Of The Inequalities?

From Mathematics Forum:

How many solutions to x+y+z+w=1097 in non-negative integers satisfy at least 1 of the inequalities? x ≥100, y ≥100, z ≥100