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• Yesterday, 07:37 PM
A formal definition of O suitable for analysis of algorithms can be found here http://web.mit.edu/16.070/www/lecture/big_o.pdf I really think...
23 replies | 419 view(s)
• Yesterday, 02:48 AM
I did not know that your O stood for big-O notation. It is not a topic normally encountered in Intermediate Algebra, and your previous questions were...
23 replies | 419 view(s)
• 01-20-2019, 09:16 PM
Why would you suppose that T_1(n) \le f(n)? Also is it T_1(n) = O(f(n)) \text { and } T_2(n) = f(O(n))? You said T_1(n) = O(f(n)) \text {...
23 replies | 419 view(s)
• 01-19-2019, 11:53 AM
Did you even read Dr. Peterson's or my posts in your other thread? There is a family of logarithm functions, not one logarithm function. There are...
6 replies | 295 view(s)
• 01-19-2019, 11:37 AM
Did you even read Dr. Peterson's or my posts? There is a family of logarithm functions, not one logarithm function. There are in fact an infinite...
11 replies | 402 view(s)
• 01-18-2019, 10:42 AM
This is a very good question. Many decades ago, when logarithms were still heavily used for accurate computation, it was a very general convention...
11 replies | 402 view(s)
• 01-17-2019, 10:26 AM
i disagree with Halls of Ivy that there is a universal agreement on the definition of the natural numbers. See for example ...
3 replies | 294 view(s)
• 01-16-2019, 03:08 PM
8 replies | 496 view(s)
• 01-16-2019, 10:58 AM
Because there are an infinite number of primes and exactly one of them is even, the probability of drawing an odd prime from a set of 78,000 primes...
4 replies | 422 view(s)
• 01-16-2019, 10:50 AM
The main economic difference between buying now and waiting to buy is the effect of price changes. If you buy now and prices go down before the...
8 replies | 481 view(s)
• 01-16-2019, 08:10 AM
That is very good. I'd make one slight emendation to your third point. I'd phrase it as The context of the equation should clarify if both...
20 replies | 884 view(s)
• 01-15-2019, 06:18 PM
JeffM replied to a thread how to simplify 784^2/3 in Pre-Algebra
Dan, I think the OP understands fractional exponents. 784^{2/3} = WHAT? is the problem (I think) despite the missing parentheses on the...
4 replies | 290 view(s)
• 01-15-2019, 04:36 PM
\dfrac{1 + cos(x)}{sin(x)} + \dfrac{sin(x)}{1 + cos(x)} = 4 \implies \left (\dfrac{1 + cos(x)}{sin(x)} * \dfrac{1 + cos(x)}{1 + cos(x)} \right ) +...
6 replies | 357 view(s)
• 01-15-2019, 12:45 PM
Ahh so your school's rule is \sqrt{b} \text { is defined only if (1) } a \in \mathbb Z \text {, (2) } a \ge 1 \text {, (3) } \ b \in \mathbb R, ...
20 replies | 884 view(s)
• 01-15-2019, 11:08 AM
I like this convention that the surd can only be applied to non-negative real numbers. It would avoid a lot of confusion. Unfortunately,...
20 replies | 884 view(s)
• 01-15-2019, 10:54 AM
You did not read my very carefully drafted prose carefully enough. I am sure that some mercenary people will meet that demand, but I do not think...
9 replies | 390 view(s)
• 01-14-2019, 10:26 PM
Please read the other responses to this post because they are good and will give you different perspectives. \sqrt{a} \ge 0 by definition if we...
20 replies | 884 view(s)
• 01-14-2019, 10:00 PM
No. It is not OK. The title of this site is not Free Math Answers. There are sites that will do your homework for you. Unfortunately, those sites...
9 replies | 390 view(s)
• 01-14-2019, 07:02 PM
You do not have to solve the area: it is given to you. Do you know a formula that relates radius, slant height, and lateral surface area? What is...
4 replies | 254 view(s)
• 01-14-2019, 06:55 PM
a = \pi rs + \pi r^2, \text { where} a = \text { area of sides and base of a right circular cone}, r = \text { radius of the cone; and} s =...
9 replies | 390 view(s)
• 01-14-2019, 06:22 PM
9 replies | 390 view(s)
• 01-14-2019, 06:17 PM
Do you have some question? What are you studying? Please show us your work or tell us why you are unable to do anything. You should read our...
4 replies | 254 view(s)
• 01-14-2019, 04:23 PM
You are absolutely correct that (-\ 10)^2 = 100 \text { and } (+\ 10)^2 = 100. But the technical definition of the square root function of a...
20 replies | 884 view(s)
• 01-14-2019, 10:20 AM
The main thing I can see is that you present your units somewhat confusingly. Let's fix that up first to avoid any confusion. p = \text {protein...
4 replies | 369 view(s)
• 01-13-2019, 09:51 PM
JeffM replied to a thread Algebra begginer in Beginning Algebra
This is an exercise in using formulas. To my mind, this is the most frequent practical use of algebra for the majority of people. A fundamental...
4 replies | 501 view(s)
• 01-12-2019, 10:04 PM
\text {John's hourly salary is to Paul's as } 5 \text { is to } 6 \text {and Paul's salary is } 5 \text { dollars more than John's.} A...
6 replies | 458 view(s)
• 01-12-2019, 07:38 PM
Are you seriously telling us that you do not know to solve 3x + 4 = 5(x - 6). That is an equation in one unknown, namely x, (sometimes...
31 replies | 1009 view(s)
• 01-12-2019, 06:10 PM
It truly helps to put things into notation AND TO ASSIGN NAMES TO THINGS. x = \text {number of white marbles retrieved in } t \text {trials.} ...
4 replies | 378 view(s)
• 01-11-2019, 09:31 PM
a + b = c \implies a = b + c \text { if and only if } b = 0. It is why I kept saying generally; there is that one special case. I like your...
32 replies | 850 view(s)
• 01-11-2019, 11:30 AM
It seems to me that you are not asking yourself what things mean. This problem is not hard once you ask about meaning rather than tools. A first step...
31 replies | 1009 view(s)
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