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Determine whether the given vectors span R3 V1=(-1,5,2), V2=(3,1,1), V3=(2,0,-2), V4=(4,1,0)
If E is an elimination matrix, then the column space of EA always equals the column...
Sam's grandfather gave him some money as a birthday present. Sam says he will put his...
1) Gabe? Amodeo, a nuclear? physicist, needs 80 liters of a 30% acid solution. He currently...
you are learning about systems of equations and three methods for solving them: graphing, substitution, and...
The total number of people who have seen a band play as of the 1st of...
Solve the following system by Gauss elimination: 2x + 8y + 4z = 2 2x +...
Determine whether the lines x = [3−t, 2+t, 8+2t] and x = [2+2s, −2+3s, −2+ 8s]...
find all scalars c if any exists such that the vector [-3, 3] is a linear...
A ball is thrown straight up from the too of a building 128 ft. tall with...
Kori invests $2400 in one account and $1600 in an account paying 4 % higher interest....
You have two sums that need to provide an equal result however I can not find...
Nursing students are required to take a test of dsage colculatuons before particpating in flinical experiences....
A school is installing a flagpole in the central plaza. The plaza is a square with...
Find the dimension of the subspace U = span {1,sin^2(θ), cos 2θ} of F[0, 2π]
show that F={a+bi |a,b ∈ Q} is a field
Suppose that the manufacturer of a gas clothes dryer has found that when the unit price...
Explain in your own words what the similarities are between fractions and rational expressions Explain in...
Let V be the set of all ordered pairs of real numbers. Consider the following addition...
Solve, find x y and z: 6x+8y-6z=62 10x-12y-14z=14 12x-8y+20z=-68
Apply the binomial theorem to 210 = (1 + 1)10 . Answer each question in the...
A firm producing lawn chairs has fixed cost of $700.00 per week. The variable cost is...
Use the method of this section to solve the linear programming problem. Minimize C = x...
Let f(x) = 3x^2+x. Find the difference quotient. f(x+h)-f(x) / h
1. To save for college, parents of a newborn child invest $12,000 in a mutual fund...
stion A scientist mixes water (containing no salt) with a solution that contains 45% salt. She...
A television manufacturer makes rear-projection and plasma televisions. The profit per unit is $125 for the...
Using two plots from the data estimate the equation of the line of best fit. Calculate...
Let A be an n × n-matrix. Show that there exist B, C such that B...
The arch beneath a bridge is semi-elliptical, a one-way roadway passes under the arch. The width...
Find f o g and g o f f(x)= 8/(x^2-1) , g(x) = x^3 +1 also...
a farmer wants to partition a rectangular field into quarters. the total area of the field...
A barge moves 12 miles downstream and 8 miles upstream in a total time of 2...
Determine if the linear transformation is (a) one-to-one, (b) onto. T(x1,x2,x3)=(2x1 −4x2,x1 −x3,−x2 +3x3).
An amount of $27,000 is borrowed for 14 years at 8.25%interest, compounded annually. If the loan...
An object is thrown upward at a speed of 184 feet per second by a machine...
A welder requires 24 h to do a job. After the welder and an apprentice work...
The mass m (in Mg) of the fuel supply in the first-stage booster of a rocket...
. Show that ax + by + cz = 0 a1x + b1y + c1z =...
Suppose that in a hypothetical economic setting, the demand curve is P=50-0.1Q and the supply curve...
Example of line bar inequality
Square root of 8x-15= square root of 6x - 3 Solve for x where it is...
Find the vertex and directrix of the cone (x1 − x2 − 1)2 + (x3 −...
Suppose that between the ages of 25 and 40 you put $2000 per year in a...
Determine whether S = {(x1, x2, x3) | x1 = 3x2 − x3} is a subspace...
(a) Write the equation in slope-intercept form. y = −(x − 5) (b) Write the equation...
There are two envelopes in front of you each with a non-zero number. You will receive...
Show that if a square matrix K over Zp ( p prime) is involutory ( or...
Suppose V is a vector space over F, dim V = n, let T be a...
Let G be a group, and H a subgroup of G, let a,b?G prove the statement...
the Special Product Formula for the "square of a sum" is (A + B)2 = ...
Dot assumes that her kidneys can filter out 20% of a drug in her blood every...
Find the matrix for each of the following quadratic forms. (a) q(x1, x2, x3) =...
The population of a town grows at a rate proportional to the population present at time...
Suppose we have a vector space V of dimension n. Let R be a linearly independent...
A rectangle has an area of 100 cm 2 and a perimeter of 50 cm. What...
Find the equation of the regression line for the given data. Then construct a scatter plot...
find the general solution by undetermined coefficients method. y′′-3y′+2y=-9x^2+6x
A homeowner planning a kitchen remodeling can afford a $200 monthly payment. How much can the...
A bus averages 2 miles per hour faster than a motorcycle. If the bus travels 165...
You want to build a stair-like structure out of toothpicks. Is it possible to use a...
Find a basic for the null space(or kernel), NS(A), the row space, RS(A), and the column...
Bruce wants to make 50 ml of an alcohol solution with a 12% concentration. He has...
Write an equation of the perpendicular bisector of JK, where J = (−8, 4) and K...
Find at least three ordered pairs that satisfy the following equation and graph the line through...
An arena that hosts sporting events and concerts has two sections for 2 levels of seating....
The functions f and g are defined as ?f(x)=10x+33 and ?g(x)=11?55x. ?a) Find the domain of?...
1.) In 1980 the average price of a home in Brainerd County was $100,000. By 1985...
Calculate the result of the following set of operations: 3×1+22−6÷2
The probability that a person applying for a job at a local office is made an...
Formulate but do not solve the problem. The management of a private investment club has a...
NEED ANSWERS ASAP PLEASE PROVIDE LETTERS ONLY Part II. Multiple Choice: Directions: Read each question carefully,...
Suppose that V is a vector space and R and S are both subspaces of V...
How can I classify all rings with cyclic additive group structure? Also plz prove your idea...
Given r_1 and r_2 are the roots of the quadratic equation ax^2 + bx + c...
A town has a population of 1300 people at time t=0. In each of the following...
Consider the following system of equations. x1+2x2+2x3 − 2x4+2x5 = 5 −2x1 − 4x3+ x4 −...
Let A be a non-empty set and f: A ? A be a function. (a) Prove...
A pair of dice is rolled, and the number that appears uppermost on each die is...
The mathematics department of a college has 13 male? professors, 14 female? professors, 12 male teaching?...
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