2 a) Find a base for the subspace W of spanned by What is the dimension of W? b) Let 1) Show that W is a subspace of 2) Find a base for W 3) Determine the dimension of W c) Let 1) Determine whether Y is a base for , the vector space of all 2 x 2 matrices. d) Find the two values of a for
The intensity 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 weakest possible tremor. Include the following items in your posing: What is the formula for measuring earthquakes? Why is a 7.0 earthquake ten times stronger th
3) The formula for calculating the amount of money returned for deposit money into a bank account or CD (Certificate of Deposit) is given by the following: A=P(1+R/N)rt A is the amount of returned P is the principal amount deposited r is the annual interest rate (expressed as a decimal) n is the compound period t is t
(See attached file for full problem description with proper equations) --- Given information in attachment, please sketch the graph. For the rational function f(x) = (x2 - 1) / (x2 - 9), give the intercepts and asymptotes and sketch the graph. Let f(x)=0, we get x=1 or x=-1. So, the x-intercepts: x=1 or x=-1. Let x=
For the rational function (see attached file) a.) determine the equation of the oblique asymptote b.) determine the x-intercepts c.) determine the y-intercepts d.) determine the equation of the vertical asymptote e.) sketch the graph
(See attached file for full problem description)
I reviewed the example responses for mathematics, and I would like a similar response, explaining step-by-step how the question was answered. (See attached file for full problem description)
A computer is infected with the Sasser virus. Assume that it infects 20 other computers within 5 minutes; and that these PCs and servers each infect 20 more machines within another five minutes, etc. How long until 100 million computers are infected?
Perform the operation and write the result in standard form: (2 - 3i)(4 + 7i) Show all work.
21) Use synthetic division to find: f(?2) f(x)=2x3?3x2+7x?12 21) 22) For the function f(x) = ?x3 + 8x2 ? 40 Show how to use synthetic division to find out if -1 is a zero. 22) 23) One of the zeros of the function f(x) = ? 7x2 + 17x ?15 is 2-i. Find all the other zeros. 23) ____________________ 24) Use the intermediate val
I have been working on this for a while, and cannot remember how to solve an equation with both an X and a Y like: 77X + 227Y = -2 keywords: unknowns
Find the two numbers y such that the distance from (-2,3) to (5,y) is 10.
Let X be a random variable and let c be a constant. Show that E(X-c)^2 is a minimum when c = E[X]
12. The second of three negative numbers is 6 less than the first negative number. The third negative number is 3 times the second number. Find the set of all possible third numbers given that twice the sum of the first two numbers is greater than the third number. 13. A woman can row 11 miles downstream in the same ti
8. Three times one number equals one-fourth of another number. If the sum of four times the first number and twelve equals three times the second number, then what are the two numbers? 11. Mrs. Montero invested $10,000, part at 9% and the remainder at 10% per year. If at the end of 5 years the two investments had earned $4,80
1) 1 mile is about equal to 1 1/3 kilometers. How many kilometers long is 26-mile race? 2) two numbers have a product of 3 1/5 and the sum of 3 3/5. One of the numbers is a whole number. Find the numbers. 3) Theo's bedroom measures 12 3/4ft by 9 2/3ft. What is the difference between the length and width of the room? 4)
F(x) = x^3 + 3x^2 - 3, find f(-2) using synthetic division.
Given the quadratic function y = 9 x 2 - 6 x + 3, What is the equation of the axis of symmetry ? 1) x = 2/3 2) x = - 1/3 3) x = - 2/3 4) x = 1/3
Determine the domain of the function: f (x) = sqrt( -2 - x)
How many quarts of 60% alcohol solution must be added to 20 gallons of 20% alcohol solution to obtain a mixture that is 30% alcohol?
(See attached file for full problem description)
Use the geometric sequence of numbers 1, 1/2, 1/4, 1/8, ......to find the following: a. What is r, the ratio between 2 consecutive terms? b. Using the formula for the sum of the first n terms of a geometric series. What is the sum of the first 10 terms? Please round your answer to 4 decimals. c. Using the formula f
Use the arithmetic sequence of numbers 1, 3, 5, 7, 9, ..... to find the following: a. What is d, the difference between any 2 terms b. Using the formula for the nth term of an arithmetic sequence, what is 101st term? c. Using the formula for the sum of an arithmetic series, what is the sum of the first 20 term? d.
The classic problem - put a penny on first square of a checkerboard, and then double the amount on each succeeding square. How much money would be put on the 32nd square? How much money would you recieve if there only 32 squares? How much money is needed to fill all 64 squares of the checkboard? Thank you!
1. 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. 2. Create three unique equations where the discriminant is positive, zero, or negative. For each case, explain what this value means to the graph of y = ax2 +
The volume of a cylinder is given by v=pir^2h where r is the radius of the cylinder and h is the height fo the cylinder. Suppose the volume of the can is 100 cubic centimeters. write h as a function of r
A traveling salesman (selling shoes) stops at a farm in the Midwest. Before he could knock on the door, he noticed an old truck on fire. He rushed over and pulled a young lady out of the flaming truck. Farmer Brown came out and gratefully thanked the traveling salesman for saving his daughter's life. Mr. Brown insisted on givin
Use the geometric sequence of numbers 1, 1/2, 1/4, 1/8,...to find the following: a)What is r, the ratio between 2 consecutive terms? b)Using the formula for the sum of the first n terms of a geometric series, what is the sum of the first 10 terms? Please round your answer to 4 decimals. c)Using the formula for the
Use the geometric sequence of numbers 1, 2, 4, 8,...to find the following: a) What is r, the ratio between 2 consecutive terms? b) Using the formula for the nth term of a geometric sequence, what is the 24th term? c) Using the formula for the sum of a geometric series, what is the sum of the first 10 terms?
Use the arithmetic sequence of numbers 1, 3, 5, 7, 9,...to find the following: a) What is d, the difference between any 2 terms? b) Using the formula for the nth term of an arithmetic sequence, what is the 101st term? c) Using the formula for the sum of an arithmetic series, what is the sum of the first 20 terms? d