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Basic Algebra

Probabilities

In the game of odd man wins, three people toss coins. The game continues until someone has an outcome different from the other two. The individual with the different outcome wins. Let X equal the number of games needed before a decision is reached. Prove by induction that the density function of X is (see attached).

Literal Equations

I am having a hard time solving literal equations. I know the process is the same as you would solve any linear equation, but I still am having trouble grasping the whole concept. Is there any way of making this easier to learn?

Graphing

(See attached file for full problem description) --- 1. Graph the system x^2 + y^2&#8804;16 y&#8804;4-x^2 2. Graph the solution { y<1/4x Bracket covers both entries but I don't know how to make it bigger. y&#8805; -2x+3 3. Show the graph of the systems of inequalities? 16x^2+64y

Algebra

1a. (2 x 10^3)(4 x 10^5)= 1b. (3.5 x 10^5)(2 x 10^9)= 1c. 8 x 10^11)(2.5 x 10^3)=

Algebra

1a. 5^2 x 5^4= 1b. (6p^5)(8p^4)=

Algebra

1a. (2 x 10)(4 x10)= 1b. (3.5 x 10)(2 x 10)= 1c. 200(5 x 10)(1 x 10)=

Sturm-Liouville Problems : Eigenvalues, Eigenfunctions and Square Norm

Please help with the following problems. 1. Find the eigenvalues and eigenfunctions of the boundary- value problem y''+lambay = 0 , y(0) = 0 , y(pi/4) = 0 ( n = pi) 2. Find the eigenvalues and eigenfunctions of the boundary- value problem y''+(lamba+1) y = 0 , y'(0) = 0 , y'(1) = 0 3. Find the square norm

Quadratic Model: Completing the Square to Solve a Maximum Profit Question

Steve owns a bakery. He has hired a consultant to analyze his business operations, and the consultant has told him that his profits from the sale of pies is given by the following function: P(x) = 120x - x2 where P(x) is the profit and x refers to the number of pies baked. (a) How many units of pies should Steve bake in ord

Complex Numbers: Power Series and Radius of Convergence

For the following complex functions f, find their power series expansions cantered at z=i, i.e., . Find the radius of convergence for each of these power series. (see attached) what are the radii of convergence of these series?

Ellipses and Parabolas

1. Find the equation of the parabola with vertex at the origin, that passes through the point (-6,4) and opens upward. X=1/9y^2 Y=-1/9x^2 X=-1/9y^2 Y=1/9x^2 2. Find the equation for the parabola with the given vertex that passes through the given point: vertex: (-5,5) point: (-3,17) y=3/16(x-5)^2+5 y=11/

Applications of Logarithmic Equations : Earthquakes and the Richter Scale

The intentisty level of an earthquake is based on the Richter scale. Using logarithms, the Richter scale measures an earthquake relative to (as a ratio of) the weaket possible tremor. Research how earthquakes are measured. What is the formula for measuring earthquakes? ? Why is a 7.0 earthquake ten times stronger than

Limits and Exponential Population Growth

5. Find the limit of the following functions. Justify your answer using algebra or explain via a sketch how the graphing calculator is used to get the answer. If the limit does not exist, write D.N.E. and justify (explain) why the limit does not exist. a. b. 6. The population of Wichita, Kansas

Simplify : Sqrt{(x+c)^2+y^2}+SR{(x-c)^2+y^2}=2a

The answer is: (x^2-c^2)x^2+a^2y^2=a^2(a^2-c^2) I know it can be reduced further, but this is the answer my teacher wants. I don't have a math font so: SR=SquareRoot and 6^2=6 squared or 6x6=36 Thank you for your help!

Solving Equations and Transposing Variables

1, Given that s = 1.59t(1 - 3v), obtain the value of v when s = 3.52 and t = 21.56 2, If x = p/q (1 + 1n r), evaluate r when x = 0.34, p = 1.08 and q = 1.84 3, Solve log(2x + 3) = log (4x) + 2 for x

Ski Jump problem: Finding the distance traveled by a ski jumper

At time t=0 a skier leaves the end of a ski jump with a speed of Vo feet per second at an angle alpha with the horizontal (see figure in the attached file). The skier lands 259 feet down the incline 2.9 seconds later. (a) Approximate Vo and alpha (b) Use your graphing calculator with the numerical integration feature to appr

Rational Expressions Applications Word Problem

In a cancer research lab, you are observing the growth of cancer cells in two specimens, A & B. Specimen A presently has 2160 cells and specimen B has 1200 cells. After recording data for several days, you later determine that the number of cells in specimen A, N(A), is growing ny the formula: N(A) = 24t^2 + 588t + 2160 w

You have recently published a research article on the impact of air friction on falling bodies. In your article, you have noted that the deceleration due to friction is a function of the ratio of the volume of the object to the total surface area of that object.

You have recently published a research article on the impact of air friction on falling bodies. In your article, you have noted that the deceleration due to friction is a function of the ratio of the volume of the object to the total surface area of that object. a. Express this ratio for a rectangular prism of length L, widt

Algebra : Solving Equations and Inequalities

1) What is the solution for x (7x+1)/11=(10x-12)/6 2) What it the solution for x 2<1-4x greater or = to 8 3) Completely factored form 6x^2+21x-12 4) What it the solution for x X^2+4x-12=0 5) What it the solution for x 6x^2+8x=-1 6) What is the slope of the line between these two points (8,1) (-2,5) 7) Fi

Radical and Rational Exponent Notation

Radical and rational exponent notation are two ways to show the same process. Explain the similarities between radicals and rational exponent notation. Provide at least two other examples of mathematical notation or wording denoting the same process.

FIND THE WEIGHT

SPERM WHALE HAS THE HEAVIEST BRAIN, REACHING 9200 GRAMS THE BRAIN OF AN ELEPHANT WEIGHS 7500 AND A WHEAL BRAIN WHICH WEIGHTS 7185 GRAMS, AND EACH HALF OF ITS BRAIN WIGHS THE SAME AMOUNT AS THE OTHER, WHICH IS THE BEST ESTIMATE OF THE WEIGHT, IN KILOGRAMS