### Logarithm Problems

1. log (x^2) - log (x)=4 2. 24000 (e^.05t-.15) = 15000 (1.08^t)

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1. log (x^2) - log (x)=4 2. 24000 (e^.05t-.15) = 15000 (1.08^t)

Page 71 & 72 # 27 0.5 = -2.5 + x # 28 0.6 = - 1.2 + x #52 2 4x -- = -- 3 3 # 57 1 --y = -- -- 3 # 91 Cigarette c

Given the curve y = ax3 + bx2 + cx + d, a ≠ 0 Find the relation between the parameters a, b, and c that will ensure that the curve: (a) has only one turning point. (b) has no turning points. ---

# 23. 2 = x + 7 # 24. 3 = x + 5 # 48 2 # 49 3y --x = - 8 90 = -- 3 4 # 92. World gain demand. Freeport McMoRan projects

Classify the irreducible representations of A_4 (wich as we know happen to be the even permutations of the alternating group) over R and over C. What is the splitting field for A_4.

Please see the attached file for the fully formatted problems.

(See attached file for full problem description with equations) --- 1. The diameter of the Milky Way disc is approximately 9  1020 meters. How long does it take light, traveling at 1016 m/year to travel across the diameter of the Milky Way? Time = distance/speed = 9  1020 m/1016 m/year = 9*104 years

Page 17 & 18 10. 7 ? -- = -- 2 8 18. 5 ? -- = --- 7 98 30. 34 102 31. 70 -- 102 40. 5 12 -- . -

(See attached file for full problem description with complete equations) --- 1. The diameter of the Milky Way disc is approximately 9  1020 meters. How long does it take light, traveling at 1016 m/year to travel across the diameter of the Milky Way? 2. Divide. 3. Multiply. Write the answer in

Algebra problems: Page 24 55. - 0.03 - 5 56. 0.7 - (-0.3) 71. - 161 - 161 72. - 19 - 88 94. Net worth. Melanie has a $ 125,000 house with a $ 78,422 mortgage. She has $ 21,236 in a savings account and has $ 9,477 in credit card debt. She owes $ 6,131 to the credit union and figures that her

I am trying to help my grandson with is home work and I am not much help to him. "Can you help me with solving these problems?" Perform the following operation with fractions: 1. 7 1 -- +-- = 9 3 2. 3 1 -- - -- = 4 6 3. 7 6 -- *-- = 4 11 4 1 1 -- -:- -- =

(See attached file for full problem description) Prove that if , then .

1. Guess a formula for 1+3+...+(2n-1) by evaluating the sum for n=1,2,3, and 4 (for n=1, the sum is simply 1). 2. Prove your formula using mathematical induction.

See attached file for full problem description.

Let C[1,3] be the (real) linear space of all real continuous functions on the closed interval [1,3], equipped with the inner product defined by setting <f,g> := 1∫3f(t)g(t)dt, f,g E C[1,3]. Let f(t) = 1/t, t E [1,3]. (i). Show that the constant polynomial g which best approximates f on [1,3] (in the sense of least

1. Find the axis of symmetry. y = x2 + 5x - 7 2. Solve. 5(x - 2)2 = 3 3. Solve by completing the square. x2 + 2x - 8 = 0 4. Find the x-intercepts. y = x2 + 5x + 2 5. Is the following trinomial a perfect square? Why? x2 + 18x + 81 6. The demand and supply equations for a certain item are given by

A plane is inserted through the equator of a unit sphere. A point on the sphere is mapped onto the plane by creating a line from the point on the sphere, through the north pole, where this line hits the plane is the projection of the point. Show that circles on the sphere map to circles on the plane except when the circles run

Let the dihedral group D_n be given by elements "a" of order "n" and "b" of order 2, subject to the identity b*a=a^-1*b. Prove that a^m is conjugate to only a^-m, and that a^m8b is conjugate to a^(m+2k)*b, for any integer k.

(See attached file for full problem description and equations) --- A 100 uL (microLiter) sample of a 7.0 millimolar protein is diluted to 500.0mL. If the error in measurement of the molarity(M) is ±0.02 mM, of the uL pipet is ±1 uL, and of the volume of the 500 mL flask is ±0.15 mL, determine how the molarity of the resul

Prove that the following function is Borel-measurable function. f_n(t) = { [t*2^n]*2^-n , 0 < t < n, n , t > or = to n | f_n(t) - t | < 2^-n , t < n } I want a detailed proof. I want to kn

Please solve the following algebraic equation: Solve for a: 6a-4[2-3(4a-3)] = -17 Show all steps.

Divide (x^2+6x+8) by (x+2)/(x+1). Reduce to lowest terms.

I had a 50 problem assignment, and have 3 questions that I either want to check my answers with a tutor, or had no idea how to figure them out. I have attached a Microsoft Word document, and would prefer getting that sent back to me with the work and answers shown so that I can understand it. Thank You! --- (See atta

WRITING AN EQUATION FOR THE LINE CONTAINING THE INDICATED POINTS: 1. (0,0) AND (3, 30) 2. (-4, -4) AND (-3, -3) 3. (-6, -6) AND (-3, 1) 4. (4, -8) AND (3, -6) 5. ( -1/2, 7) AND -4, 1/2) 6.(-9, 1) AND (-1/2, 1) Those are the types of problems I am having trouble in writing equations containing indicated points. How do

A rectangle is twice as long as it is wide. If it has an area of 24.5 inches, what are its dimensions? English Language Mathematical Language the width and length of the rectangle ? The length is twice the width

1. Simplify: Remove the symbols of grouping and combine like terms. 5[3(4x - 2) - 3(6 - x)] + 7 2. Subtract (18x2 - 5x + 4) from (3x2 - 3x - 8) 3. Simplify: (27a3 b6 )2/3 4. Simplify: (102x+1)(104x) 5. Simplify and express your answer with positive exponents only. #6 & 7: Perform the indicated o

6 2/3 (8x ) 5 9 3 sq root. 24X y 3 sq root. 1 ___ 2 2X Solve for X 10X-2(5-X) = 7X-2(3+x)

(See attached file for full problem description with equations) --- 1. Perform the following computation. Write the answer in scientific notation. 2. Perform the indicated operation. Solve for x. Reduce your answer to lowest terms. 3. Perform the indicated operation. 4. Solve this equation. Solve for x. 5. S

Let G be the subgroup of quaternions of 8 elements, that contains ±1, ±i, ±j, ±k with relations i^2=j^2=k^2= −1, ij=k, jk=i, ki=j, ij=−ji, ik=−ki, jk=−kj. Classify irreducible representations of G over C.

1 + 3+1=0 x2 x