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Basic Algebra

Find the Quotients

Find the quotients (x^2y^3 - 3x^3y^2) / (x^2y) (4h^5k - 6h^2k^2) / (-2h^2k)

Find the quotient.

Find each quotient. Please see the attached file for the fully formatted problems.

Simplify the exponential expressions.

#6 Assume that the variables represent non-zero real numbers. - Simplify the exponential expressions. Please see the attached file for the fully formatted problems.

Asymptotes : Log Equations

Please indicate for each question if it's TRUE or FALSE. Also explain why ? 2^(log n) =O(n^c) , for some constant c 2^(3 log n)=O(n^c) , for some constant c 2^(log^2 n)=O(n^c) , for some constant c

Are eight points in a plane concurrent?

1. Eight points, A, B, C, D, E, F, G, and H are distributed in a plane. Exactly five of the points are on line l1, exactly three are on line l2, and exactly three are on line l3. Are the three lines concurrent? Justify answer.

Quadratic formula - error analysis

Improving the Quadratic Formula. Show that these roots can be calculated with the equivalent formulas... (See attachment for full question including Hint)

Quadratic formula rearranging

The problem is from Numerical Methods. Please show each step of your solution and tell me the theorems, definitions, etc. if you use any. 12. Improving the quadratic formula... Please see attached.

GED practice

Write the next two terms in the pattern 6,250 1,250 250 50 Find the GCF 140, 180 Find the LCM 7, 11, AND 21

Equations and word problems

1- suppose you have 45 muffins. how many muffins are left after you give a friend 1/5 of them? 2- a baker at rod's bakery misread the directions and used 5 3/4 cups of flour in a recipe. it was 1 3/4 times too much flour. how much flour should the baker have used? 3- solve the equation. check the solution: x/3=

Superincreasing Sequence and Prove that Expression is Prime

1) Let S= {b ,b ,...........b } satisfies b j+1 >2b j for all j =1,2,3,.......n-1. Prove that S is a superincreasing sequence. ≡ 2) Prove that n E N with n ≥ 3 is prime if and only if there exists an integer m such that m^(n-1) ≡ 1 (mod n)^((n-1)/q) but m is not ≡ ( mod n) for any prime q| (n-1)

Use of Calculator : Log Function

Please explain how I make this work via my TI-30 (or any calculator for that matter). I dont understand how to "punch" it in. 10 Log 1.9X10^-4 / 1X10^-12 the answer is 82.8 Thank you for helping me get to this answer.

Arithmetic Sequence

I am trying to determine and prove the general law for the following sequence: I would like to express it in notation. 1+2=3 4+5+6=7+8 9+10+11+12=13+14+15 16+17+18+19+20=21+22+23+24

Energy Methods

Select and justify the use of energy methods to molve motion problems.. Please see attached.

Simplify Seven Trigonometric Expressions

1. [sin(x+b) + cos(x+b)]/[cos(x+b)-sin(x+b)]= 2. cos^2(x+b)-cos^2(x-b)= 3. tan x + cot 2x = 4. tan (45 + x) -tan (45 -x)= 5. tanx - cotx + cot 2x = Plus two more...

24 Problems : Word Problems, Simplify, Area, LCM, Solve for X and Hypotenuse

Divide (12a squared - 25a -7 divided by (3a-7) (x cubed - 6x sqyared + 7x -2 divided by (x-1) A circle has a radius of 10 inches. Find the increase in area that occurs when the radius is increased by 2 in. Round to the nearest hundredth. An object is released from the top of an building 320 ft high. The initial velocity