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Use the formula. It's just 'plug and chug'.
n=p(1p)\left(\frac{z}{E}\right)^{2}
If p is unknown, assume p=0.5
In this case, E=.015, \;\ z=1.645, \;\ p=.5
Round up to the nearest whole...

Hi Unknown. Long time. :)
Linear programming does not require calculus.
If one graphs the lines generated from the inequalities, one looks at the vertices of their intersections.
Basic...

You have a typo in your problem.
What is 5x2y 1/2z?
+? ?
Are you sure that is not z=x^{2}+e^{y}?
Please make sure the problem is typed exactly as presented.

This is a system of two equations with two unknowns.
Let m=number of memo pads and let p=number of pens.
They must make $8400:
8m+5p=8400
They want to sell 120 items:

This is one solution that works, though it is rather abstract. These are the first 5 Euler Phi numbers of the first 5 composite numbers.
The Euler Phi function or Totient function, \phi(n), is...

You are correct. It is indeed 0.
It is not an indeterminate form. It is also continuous.
Thus, you can do that.

Do a search. Here is a site that may help:
Behind the Magic Square Maker

Look at the sum closely. N is a constant.
Say we have n=10.
All terms are 0 up to (101)C(10,10)=9
Regardless the value of n, this is true throughout.
So, the sum is n1.

1+\frac{cos\theta}{2}cos\theta is what you have written.
And to do what exactly?

Jjuiibn;j h hmnk mxvnncvuygaefnbamn
I checked Google and this "problem" has been posted on a dozen different sites. No one else appears to know what it means either.
Especially, the 3363.

Same concept as with a circle.

This is known as a derangement.
The probability that no letter ends up in its envelope is
\sum_{k=0}^{N}\frac{(1)^{k}}{k!}
This is the series for 1/e. So, for large N, the probability...

There is 12.5 grams out of 50 grams remaining after 14.5 days.
12.5=50e^{k(14.5)}
Solve for k.
Half life is given by:
T=\frac{ln(2)}{k}

Since the numbers are consecutive, they can be written as
x1, \;\ x, \;\ x+1
The square of the middle number is x^{2}
The difference of the squares of the other two:
(x+1)^{2}(x1)^{2}

The margin of error is E=z\cdot \frac{\sigma}{\sqrt{n}}
.95 CI corresponds to a z score of 1.96
So, we have E=1.96\cdot \frac{4}{\sqrt{30}}=1.43
The CI is then:
...

Implicitly differentiate
3x^{2}y^{2}+xy=4
to get y'.
Set the result = to 8/3 and solve for y.

Go here and download the very nice and FREE graphing utility. Then, graph it.
Graph
It looks like an infinity symbol.

Some explanation from the OP would be nice. But, I assuming those brackets indicate the floor function.
If so, then the first one would be x=0,1,4
I wonder why so many think that those on...

\frac{5x^{2}y^{140}}{256x^{1}(3x^{34}y^{1})^{67}}
This is not an equation, it is an expression.
Equations have equals signs.
What is it you need to do? Simplify?
First, write with...

Do you mean 2^{x+2}=4^{x}?
You have 2^{x}+2=4^{x} written.

See here as well.
https://www.askmehelpdesk.com/mathsciences/howdoyoufindffgxiffx2x5gxsquarerootx568637.html

I will try to decipher.
Replace f(x) with y:
y=k(2+x)
swap x and y:

A=(0,1,1), \;\ B=(4,5,L), \;\ C=(3,9,4), \;\ D=(4,4,4)
AB=4i6k+(L1)k
AC=3i10j5k
AD=4i5j5k
Cross Product:

Sweet. I would give you a greenie, but it won't let me.

a. look up the z score corresponding to a .70 in the body of the table.
b. same as above only look up .20
c. z scores come from the left and go right. So, just look up .75 in the body of the...

Go to a z table and look up .60 in the body of the table and find its corresponding z score.
Then, set it equal to the formula z=\frac{x200}{50}, and solve for x.

This post is 3 years old. And you have the nerve to give me a Not Helpful after posting that nonsense.

I assume then that my interpretation was correct.
The solution is \frac{2010\pi}{2}=1005\pi
Try it with other powers of tan. You will see the solution comes out to half of the upper limit of...

7log(10/9)2log(25/24)+3log(81/80)
Use your log laws to break it up and simplify in terms of log(2), log(3), log (5). Everything with cancel except for one little ol' log(2).
For instance, to...

Very good JC. I figured this problem had something to do with observation. This horrific integrals like this normally indicate this. I misread. Either way, good show. Now, let's see if the OP even...

Is this what you mean:
\int_{0}^{2010\pi}\frac{1}{tan^{2011}(x)+1}dx
If so, may I ask from where you got this crazy integration problem?
I would venture to say that this is not meant to be...

An easy way to find your constant of proportionately is to use the formula for halflife:
T=\frac{ln(2)}{k}
You are given the halflife decay time. Plug it in and solve for k.
Then, you can...

Look at the factorization for the sum of two cubes.
Factor:
a^{3}+b^{3}
Let a=sin^{2}(x), \;\ b=cos^{2}(x)

I'm sorry, what do you mean "a developer doing some testing"?

What you posted is the area of a circle.
{\pi} is the ratio of a circles diameter to its circumference.
In other words. The distance around a circle is Pi, or about 3.14, times the distance...

Part a is obvious.
Part b is the same as asking if a nonleap year starts on a Sunday. There are 7 days in a week. Wouldn't it be 1/7?

Kudoes, JCaron. I couldn't agree more.
I tried giving you a rep, but it will not let me. Some silliness about "spreading it around". I don't know how to take that:)

Assuming the keys are identical and the boxes are different.
If we are distributing r identical objects into n different boxes, then there are
C(r+n1,r) ways
In this case, C(5+31,5)=21...

If repetition is allowed, then there are
6^{3}=216 numbers that can be formed.
If repetition is not allowed, then there are
6\cdot 5\cdot 4=120 numbers that can be formed.
When forming 3...

Assuming they are welldefined, the inverse would be
g^{1}of^{1}

Here is what you have written:
x^{2}+7x+\frac{12}{x^{3}}+4x^{2}x4
I assume you mean:
\frac{x^{2}+7x+12}{x^{3}+4x^{2}x4}
This is why grouping symbols are important.

But, if you want to do this algebraically, let''s do this:
Take log of both sides:
log(x^{log(x)1})=2
(log(x)1)log(x)=2
(log(x))^{2}log(x)2=0

Yep. That's them. Good :)

Is this what you mean?:
x^{log(x)1}=100
If so, look close. There are two solutions.One is rather obvious.
What is log(100)? Isn't it equal to 2?
So,...

I assume y is the number of kg produced or sold.
Thus, R=160y
Remember, P=RC
Profit=RevenueCost

When a tie happens at least one basic variable will be zero in
the next iteration and the new solution is called 'degenerate'.
Say we wanted to maximize z=3x_{1}+9x_{2}
s.t. ...

Exponent? What exponent? Solve what?
Rewrite 5 and 3/4 as a decimal? 5.75

No one is that stupid, so it makes me believe this is just a troll with nothing better to do.

I assume this is what you're describing?:
The section 1/8th inch on either side of the xaxis must be the same as the segment with height h?
Assuming I am interpreting correctly, find the...

log_{8}(1)=x
To write it another way:
8^{x}=1
What must x be?
