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Numerical Analysis and Simulation
The study of algorithms for problems related to continuous mathematics
818 Questions
What has numbers and operations signs but no equals signs?
An expression, or, more pedantically, inequalities.
What are the properties of division?
Properties of Division
* Division is the inverse operation to multiplication.
- 7x6=42 42/6=7(divided by)
- One factor property - Any number divided by 1 is equal to the number itself
- 16/1=16
- 250/1=250
* A number divided to itself is equal to 1
- 16/16=1
- 250/250=1
*Zero property - Zero divided by any number is equal to 0
- 0/2=0
*Division by zero is undefined
- 2/0=undefined
Distribution
(a + b)/3 = a/3 + b/3 but 3/ (a + b) =/= 3/a + 3/b
What does relative error percentage mean?
Relative error percentage is a decimal percentage between 1 and 0 such that if you multiply the actual answer by (1-errorrel) you get your approximate value. In other words relative error is an indicator of how far away your apporximation is from the real value in terms of percent of the real value.
What is your grade if you miss 12 out of 43?
If you missed 12, then you got 31 correct [43-12=31]. If all questions are weighted equally, then 31/43 = 0.721 or 72.1 %, so your grade is 72.
What happens to the graph of y equals x when the equation changes to y equals x - 9?
The graph shifts downward (negative y) by 9 units.
Reverse and negation of an if-then statement?
The reverse and negation of an if-then statement is as follows:
if (...) then statement;
reversed becomes
if (not (...)) then statement;
What is the formula for rate of change?
Rate of Change = Change in value/Change in time
to make this more clear, look at the line graph and pick two points of x. for example, we will use x=3 and x=1 in the equation f(x)=(x-3)^2
the average rate of change = change in y/change in x which equals function(b)-function(a)/b-a
with that, we get: f(3)-f(1)/3-1. this creates (3-3)^2-(1-3)^2/3-1
this simplies to 0-4/2 which equals -2 so the rate of change in f(x)=(x-3)^2 is -2.
What is the answer to 6t-1 over 69 what does t equal?
(6t - 1) / 69 = 1
6t - 1 = 69
6t = 70
t = 70 / 6
X squared minus 5 is not necessarily prime. For instance; if x=3, then x squared minus 5 is 4, and 4 is not prime.
Please consider this addition to the above answer. I opted to keep the original answer there for a reason...
Whether x^2-5 is prime depends not on the values of x that you plug into the expression, but rather on the primality of the expression itself. In other words, the expression's primality (primeness) is based on the presence or absence of RATIONAL ROOTS. x^2-5 can be factored into (x+√5)(x-√5), making x=±√5. √5 is IRRATIONAL, and since no root of the original expression is rational, the original expression is PRIME. It is ALWAYS PRIME.
For the sake of improved clarity, consider the following examples:
x^2-4 is NOT PRIME because it can be represented by (x+2)(x-2), making x=±2, both of which are RATIONAL ROOTS.
x^2-3 is PRIME because it can be represented by (x+√3)(x-√3), making x=±3, both of which are IRRATIONAL.
I hope this helps! Please ask for clarification if you need it, as well as for any other form of assistance... including other questions.
What is 0.3 to the power of negative 2?
11.1
Think of negative powers as meaning "one over". 0.3-2 means "one over" 0.32.
0.32 = 0.09; 1/0.09 = 11.111... = approx 11.1
In fractions, 0.3-2 =(3/10)-2 = 1/((3/10)2) =1/(9/100) = 100/9.
What is the difference between 3liter and 1gallon?
There are several different usages of the gallon.
The US gallon is about 3.785 liters, so the difference between 3 liters and 1 US gallon is about 0.785 liters.
The UK (Imperial) gallon is about 4.543 liters, so the difference between 3 liters and 1 UK gallon is about 1.543 liters.
What is four times the difference of x and seven times x?
Let's start with the problem: 4(x-7x)
The first step that needs to occur is distribution, also known as distributing. Distributing involves multiplying the number on the outside of the parenthesis by each of the numbers inside of the parenthesis.
In this case, you would multiply 4 and x, as well as 4 and -7x.
You end up with 4x-28x, and when you subtract 28x from 4x, you get -24x as your final answer.
How do you convert a 7 point likert to a 10 point likert?
The correct formula is: 1.5 x (N-1) +1 where N is the score on a 7 point scale.
What is the for an angle meter?
Your question is unclear but one instrument for measuring angles is a protractor.
How are sales commissions calculated?
It could either be a straight commission scale (like 5% of all sales, for example), or it could be a sliding scale (say 3% of the first 10000, then 6% of the next 10000, etc).
It's often calculated on a monthly basis. So say it's 5% of all sales. If the gross sales attributed to the salesperson is 15000, then multiply 0.05 [equivalent of 5%] by $15000 to get $750 commission.
If it is the latter, then the 3% of the first 10000 is $300, then you have 6% of the next 5000 which is $300. Add those two together to get $600, total commission.
That's because averages give us some idea about general tendencies.
