(19) Using the formula s(t) = ?16t2 + v0t + s0 write the equation for the height of a rock propelled directly upward from the ground with an initial velocity of 60 feet per second. 19) ____________________ 20) What is the maximum height reached by the rock in problem 19, and how many seconds does it take for the rock to reach
How do you find the solution to a quadratic equation by factoring, completing the square and using the quadratic formula?
1) Using the quadratic equation x2 - 3x + 2 = 0, perform the following tasks: a) Solve by factoring. b) Solve by completing the square. c) Solve by using the quadratic formula. 2) For the function y = x2 - 6x + 8, perform the following tasks: a) Put the function in the form y = a(x - h)2 + k. b) What is the lin
A 5% solution of a drug is to be mixed with some 15% solution and some 10% solution to get 20 ml of 8% solution. The amount of the 5% solution used must be 2 ml more than the sum of the other two solutions. How many milliliters of each solution should be used?
(See attached file for full problem description with PROPER EQUATIONS AND SYMBOLS) --- The average of the numbers 5, 9, 10, 13, and a equals 11. Find the value of a. a. 16 b. 17 c. 18 d. 20 A shirt is on sale for $34.40, which is 20% off the original price. Find the original price of the shirt. a. $36.40 b. $41.28
(See attached file for full problem description for PROPER EQUATIONS AND SYMBOLS) --- If f(x) = x(x + 3)(x ¨C 1), use interval notation to give all values of x where f(x) > 0. a. (¨C3, 1) b . (¨C3, 0) ¡È (1, ¡Þ) c . (1, 3) d . (0, 1) ¡È (3, ¡Þ) If f(x) = x(x ¨C 1)(x ¨C 4)2, use interval notation to give
16. 3logx + 2log y - log z 17. 6 log a - 3 log b - log c + 2 log d
Find log7 12 (to four decimal places) See attached file for full problem description.
Any help that you could give me on these problems would be greatly appreciated. I am completely lost and the book doesn't seem to help me much. (See attached file for full problem description with diagrams) --- Instructions: ? Identify the document by typing your full name and section number next to the yellow text.
Solve 13) Approximately 1% of US students were studying abroad in 1994. Based on data from the Institute of International Education, the number of US students in study-abroad programs from 1994-1997 can be modeled using the equation y = 7248x + 76207, where x =0 corresponds to year 1994. Using this model, what would you expec
Find x to 4 decimal places: 1n x - 41n 3 = 1n (5/x)
1. A passenger train leaves the train depot 2 hours after a freight train leaves the same depot. The freight train is traveling 20 mph slower than the passenger train. Find the rate of each train, if the passenger train overtakes the freight train in three hours. 2. Solve 3. How many liters of a 70% alcohol solution must
1. Solve using the quadratic formula: x^2 = 2x - 10 a) Show what you use for a, b, and c. b) Show your two answers 2. Brent is flying a kite on 50 feet of string. The kite's vertical distance from Brent is 10 ft more than its horizontal distance from Brent. Find its horizontal and vertical distances from Brent. Sh
a) Using the index of a sequence as the domain and the value of the sequence as the range, is a sequence a function? b) Which one of the basic functions (linear, quadratic, rational or exponential) is related to the arithmetic sequence? c) Which one of the basic functions (linear, quadratic, rational or exponential) is rel
(See attached file for full problem description) --- 1. Which property of the real numbers is illustrated by the following statement? 9 ? (7 + 11) = 9 ? 7 + 9 ? 11 A) Commutative property of multiplication B) Associative property of addition C) Associative property of multiplication D) Distributive property 2.
For a fixed rate, a fixed principal amount, and a fixed compounding cycle, the return is an exponential function of time. Using the formula, A=P(1+r)^nt, let r= n 10%, P=1 and n=1 and give the coordinates(t,A) for the points wher
The formula for calculating the amount of money returned for an initial deposit money into a bank account or CD (Certificate of Deposit) is given by A is the amount of returned. P is the principal amount initially deposited. r is the annual interest rate (expressed as a decimal). n is the compound period. t is the number
After their star pitcher moved to another town, the eight remaining members of the company baseball team needed to select a new pitcher. They used approval voting on the four prospects, and the results are listed below. An "X" indicates an approval vote. Which pitcher is chosen if just one is to be selected? (see attached
(See attached files for full problem description) --- 1. Four members are running for president of the Local Math Club - Alicia (a), Brice (b), Charlie (c), and Destiny (d). The voter profile is summarized in the table. Use the Hare method to determine the winner. Number of voters Ranking 17 c > d > a > b 11
1) How do I solve the following equations? a) Answer: Please show me how you got your answer in this space. b) . Answer: Please show me how you got your answer in this space. c) . Answer: Please show me how you got your answer in this space. 2) Is an identity (true for all values of x)? Answ
It can be shown that R (the set of all real numbers) is an infinite-dimensional vector space over Q (field of rationals). Is it true that any basis (by basis I mean algebraic basis or Hamel basis) of R over Q has to be uncountable ?
1)I understand what a standard R-module (ring-module) is, but I have heard talk of modules associated with representations. Could someone please give me some idea of what these are? 2) I am trying to find all modules over Z-the Integers; so far, I have only come up with additive groups. How can I find all others?
While the radical symbol is widely used, converting to rational exponents has advantages. Explain an advantage of rational exponents over the radical sign. What is an example of an equation easier to solve as a rational exponent rather than as a radical sign.
When using the quadratic formula to solve a quadratic equation (ax2 + bx + c = 0), the discriminant is b2 - 4ac. This discriminant can be positive, zero, or negative. What I need to do is figure out how to create three unique equations where the discriminant is positive, zero, or negative. For each case, please explain what t
Referring to the graph below (which is attached), identify the graph that represents the corresponding function. I need to justify my answer. y = 2^x y = log2x (where the 2 is lower case below log, not above)then; x Also, I need to plot the graphs of the following functions and show them. f(x)=6^x f(x)=3^x - 2 f(x)
Rectangular Beam : Finding Length Given Cross-Sectional Area, Logitudinal Compressive Force and Unit Strain
Rectangular beam has cross sectional area of 2" x 4". The beam is subjected to a longitudinal compressive force of 6000 lbs. The unit strain is 1 x 10-6 ft/ft. What is the original length if the beam is compressed 1 x 10-6 ft?
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
See the attached file. 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)
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
Cube root of x^2 = 9. solve for x
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