All Answers 358512 Answers

(a,b) = (2 + sqrt(3), 12 - sqrt(3))

f(x) = 18x^5 - 32x^4 + 12x^3

As follows:

(As an example consider N = 14).

So far there are three answers and all three of them are different. 

The cause of these discrepancies is the ambiguity of the problem. 

The problem is poorly stated, and therefore open to interpretation. 

FV ==2,000 * [1 + 0.012]^8

FV ==2,000 * 1.012^8

FV ==2,000 *  1.100130233538486636445696

FV ==$2,200.26 - this is the correct answer.

I read your posting but can't answer it.  I can't even understand it.  I had to go back and read the sentence "You have an n×nn×n grid" a few times.  I admit I don't understand higher math nomenclature, but that looks to me like a description of a three-dimensional grid.  The rest of the problem seems inconsistent, although it might be owing to my lack of understanding.  In any event, I suggest that you start a separate thread. 

two thousand (one plus zero point zero one two) to the power of eight   

I hope you weren't as confused as I am about what  

the number is that you mean.  Here's my guess:  (2001.012)⁸   

Necessary to use a scientific calculator to raise it to that exponent.  

The result I got:  2.57038 x 10²⁶    That's sort of an unsatisfying answer, but whatever.

_.

Obtuse scalene triangle.

Sides: a = 1   b = 2.449   c = 2.732

Area: T = 1.219
Perimeter: p = 6.182
Semiperimeter: s = 3.091

Use the Law of Cosines to get:

Angle ∠ A =21.369° = 21°22'10″ = 0.373 rad
Angle ∠ B =63.195° = 63°11'40″ = 1.103 rad
Angle ∠ C =95.436° = 95°26'10″ = 1.666 rad

That's obviously wrong

(a,b) = (1,3) and (3,1)

(u,v) = (10,-7/4)

The side length of the large square is 2*sqrt(3) + 1.

If we just find the area of the county, then we'll know it's expected population.

Assuming it's a perfect rectangle, then the county will have an area of \(25*30=750\) square miles.

Because there is an expected population of 20 people per square mile, the expected population is \(750*20=\boxed{15000}\) people in the county

The anlges of the triangle are 20 degrees, 60 degrees, and 100 degrees.

2000 * (1+0.012) * 8

2000 * 1.012 * 8

2024 * 8

16192

The answer is 16192.

Are you sure this is possible? If you graph both equations they never meet.

4 by itself = 1 such number.

(12, 16, 24, 32, 36, 64)>>Total = 6 [These are 2-digit numbers that are divisible by 4]

(124, 132, 136, 164, 216, 236, 264, 312, 316, 324, 364, 412, 416, 432, 436, 612, 624, 632) >>Total = 18 [These are 3-digit numbers divisible by 4]

(1236, 1264, 1324, 1364, 1432, 1436, 1624, 1632, 2136, 2164, 2316, 2364, 2416, 2436, 3124, 3164, 3216, 3264, 3412, 3416, 3612, 3624, 4132, 4136, 4216, 4236, 4312, 4316, 4612, 4632, 6124, 6132, 6312, 6324, 6412, 6432) >>Total = 36 [These are 4-digit numbers divisible by 4]

(12364, 12436, 13264, 13624, 14236, 14632, 16324, 16432, 21364, 21436, 23164, 23416, 24136, 24316, 31264, 31624, 32164, 32416, 34216, 34612, 36124, 36412, 41236, 41632, 42136, 42316, 43216, 43612, 46132, 46312, 61324, 61432, 63124, 63412, 64132, 64312) >>Total = 36 [These are 5-digit numbers divisible by 4]

So, the total =1 + 6 + 18 + 36 + 36 =97 such positive integers.