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    Algebra

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    select the best model.

    (See attached file for full problem description) --- 1. The following gives the price in dollars of a round trip ticket from Phoenix to Portland, and the corresponding profit, in millions of dollars, for each price. For the data below, select the best model. Price (dollars) 200 250 300 350 400 450 3.09 3.51

    Theory of Computation : Non-deterministic finite state automaton

    Give a non-deterministic finite state automaton that recognizes the language L subset {0,1}* that consists of all words w such that some appearance of two 0's in w is separated by an even number of 1's. (For example: the words 0010010110, 001101 are in the language but the words 0101110, 001001 are not.) (As a note, this i

    Equations : Cost of Materials for Making a Cylindrical Can

    A cylindricial can has a volume of 400*3.14cm^3. the material for the top and the bottom cost 2 cents per square centimeter. The material for the vertical surface costs 1 cents per square centimeter. a. Express the cost C of the materials used to make the can as a function of the radius r. b. Find the minimum cost.

    Writing Equations from Word Problems : Time and Distance, Two Moving Objects

    At 2:00 p.m. bike A is 4km north of point C and traveling south as 16km/h. At the same time, bike B is 2 km east of C and traveling east at 12km/h. a. Show that t hours after 2:00 p.m. the distance between the bikes is: square root (400t^2 - 80t + 20) b. At what time is the distance between the bikes the le

    Problem Set Logarithmic Functions

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

    2 Problems

    (See attached file for full problem description) --- 1. Make y the subject of the formula (see attached) 2. Rearrange the equation X = 1/2A In(q - 3) + c to obtain a formula for q

    Series and Annuities: The Tortoise and the Hare Series

    You may have heard the fable about the tortoise and the hare. Suppose that the tortoise and the hare are running a 5000 M race. The tortoise proceeds very slowly, never changing its speed. The hare runs very quickly at the start. The tortoise travels 10 M every minute. the hare travels 2500 M in the first minute but, in each mi

    Sequences and series

    I need direction on how to approach the sequencing and series of algebraic arithmetic. (See attached file for full problem description)

    Word problems

    Please help me understand how to solve these 2 word problems: 1.) McMoRan projects that in 2010 world grain supply will be 1.8 trillion metric tons and the supply will be only 3/4 of world grain demand. What will world grain demand be in 2010? 2.) Before Ronald sold two female rabbits, half of his rabbits were femal

    Equation

    Solve the following equation for: 8(x-4)+3x= -21

    Solving quadratic roots

    Need help solving this equation (i.e. finding roots or zeros): 0=3x^2-2x-1 Also, need to graph this equation...think I'm having the same problem with the roots in order to find all intercepts: 5x-y+6x^2 <or= 0 Could you please show all work?? Thanks so much!

    Arithmetic shadow problem

    A Flagpole 15 feet high casts a shadow 5 feet long. A 6 foot man standing nearby would cast a shadow how long?

    Rearranging and Solving Formulae

    1. In a circuit containing a resistor and a capacitor, the instantaneous voltage V volts across the capacitor is given by the formula Where R is the resistance in Ohms V is the initial voltage, C the capacitance in Farads and t is the time in seconds. Determine the time at which the instantaneous voltage is 35 volts given

    Formula for Measuring Sound and Loudness

    The loudness of sound is based on intensity level measured in decibels using a logarithmic scale and is relative to (a ratio of) the weakest sound the ear can hear. How is sound measured? Can you also include the following items in your posting: - The formula for measuring sound. - Pick a specific sound, give the decibels

    SQ Root

    For the equation x-the sq root of x=0, how do I solve for all values of x to satisfy the equation?

    Square roots

    Can you show me how to solve the following equations? Square roots confuse me. Sq Root of X-1=3? Sq Root of X^3=8? and ^3sq root of x^2=4? Is the sq root of x^2=x an identity?

    Proving that two equations are equal

    This is a question from a past exam paper for entrance onto a degree course. Whilst I am sure that the question is not that difficult, I do have real problems with this type of question. I am not sure how to get started with part (a) so could you please list every step as simply as possible when solving the problem. On part (

    Linear Function of Distance and Time

    How do I write a linear function showing distance traveled, d, as a function of time, t, ? I know the miles are 300 and the car is moving at a constant speed of 60mph. I know if you divide 300 by 60 the car will arrive at it's destination in 5 hours and at 3 hours it will have only traveled 180 miles. But how do I show this ?

    Simple and Compound Interest and Certificates of Deposit

    Take the current amount you have in your checking or savings account. Suppose you have a choice of keeping your money for five years in a savings account with a 2% interest rate, or in a five year certificate of deposit with and interest rate of 4.5%. Calculate how much interest you would earn with each option over five years t

    Simple and Compound Interest

    You have $380,000 in your bank account. The interest rate in your account is 5%. Solve for the following: a. How much interest will you accumulate if interest is compounded annually over the next five years? b. How much interest will you earn in your account over the next five years with continuous compounding?