Tutors Answer Your Questions about Linear Algebra (FREE)
Question 31143: It is approximately 300 miles from Chicago, Illinois, to St. Louis, Missouri. Allowing for various traffic conditions, a driver can average approximately 60 miles per hour.
Write a linear function that expresses the distance traveled, d, as a function of time, t.
Click here to see answer by mukhopadhyay(490)   |
Question 30944: I cannot fill out the book infromation because this is an independent study course for college algebra at Brigham Young Univeristy. This is a paper coruse, no book was provided!
Question:
Solve this exponential equation for x: 5^4x+6=25
A. -3/4
B. -1
C. 1
D. 3/4
Thanks for your help
Click here to see answer by mukhopadhyay(490) |
Question 31359: it is approximately 300 miles from chicago, illinois, to st. louis, missouri. allowing for various traffic conditions, a driver can average approximately 60 miles per hour.
i have to write a linear function that expresses the distance to be traveled to reach st. louis, s, as a function of time, t.
I have to show my work. thanks for the help
Click here to see answer by stanbon(26259) |
Question 31476: Let S={v1, v2, v3}where v1^T=[1 0] v2^T=[0 1] v3^T=[-1 1]
Find every subset of S that is a basis for R^2.
I have the matrix
[1 0 -1 0]
[0 1 1 0]
where x1-x3=0 and x2+x3=o and one basis of {v1, v2} but I don't know where to go from there.
Click here to see answer by venugopalramana(3286)  |
Question 31746: Question reads:
Write the partial fraction decomposition of the rational expression:
-x/(x+6) (x+5)
Possible Answers:
(A) 5/x+6 + -6/x+5
(B) 6/11/x+6 + -5/11/x+5
(C) -6/x+6 + 5/ X+5
(D) -6/11?x+6 + 5/11/x+5
These are a lot of numbers. Please be specific when choosing an option.Thanks!
Click here to see answer by mukhopadhyay(490) |
Question 31750: Question:
Solve the system:
x^2+y^2=64
x+y=8
(A) {[0,0), (8,-8)}
(B) {(0,8), (8,0)}
(C) {(8,-8), (-8,-8)}
(D) {(0,-8), (-8,0)}
Thank you very much!
Click here to see answer by venugopalramana(3286) |
Question 31753: Solve the system:
x^2+y^2=63
x^2-3y^2=27
a. (3 sqrt6,3) (3 sqrt6, -3)
b. (3 sqrt 6,3) (3 sqrt6,-3) (-3 sqrt6,3) (-3sqrt6,-3)
c. (1 sqrt62) (1,-62) (-1 sqrt62) (-1 -sqrt62)
d. (-3 sqrt6,3) (-3 sqrt6,-3)
Thanks a bunch!!!!!!!!
Click here to see answer by mukhopadhyay(490) |
Question 31752: The question is:
Find all the real and complex zeros of the polynomial
x^4+8x^3+16x^2-8x-17
(A) 4, -4, 1 -2i, 1+2i
(B) 1 -1, -4 -i, -4+i
(C) none of these
(D) 1, -1, -4 -2i, -4+2i
This is conufusing- thanks for your help!
Click here to see answer by stanbon(26259) |
Question 30238: Which equation below is the quadratic equation in standard form that results when you substitute u=x^-2 into the equation x^-4 -32+ 4x^-2 ?
POssible Answers:
(a) 1/u^2 - 4/u - 32=0
(b) u^2-4u-32=0
(c) u^4-4u^2-32=0
(d) u^-2 -4u +32=0
(e) 1/ u^2 + 4/u -32 = 0
Please be specific in which is the correct answer. Thanks!
Click here to see answer by mukhopadhyay(490) |
Question 32261: Given V=R^2 with "non-standard" operations: for u=(x1,y1) and v=(x2,y2)in R^2, and c(real number),
u(+)v=[(x1^1/3 + x^2^1/3)^3, (y1^1/3 + y2^1/3)^3] and
c(*)v=(c^3*x2, c^3*y2), where (*)and(+)anr non-standard operations,
I want to prove that V form a vector space, using 10 vector space axioms. But, I can't figure out how to handle the exponents (raised to the third power) in the operations...Also, I am confused about the "non-standard"...Can I still use some real number for x and y (like x=1, y=1)and 'c' when varifying the closure of the axioms? How exactly are "standard" and "non-standard" different when using the ten vector space axioms? For 'distributive property', could I use another vector w=(x3,y3)?
Would you help me with this problem???
Click here to see answer by venugopalramana(3286) |
Question 32528: I am trying to learn proofs. Question 32261 (on the site) is one I cannot solve, but I would like to learn. Can you share the solution? I cannot find the link to the solution. Thanks!
Question 32261: Given V=R^2 with "non-standard" operations: for u=(x1,y1) and v=(x2,y2)in R^2, and c(real number),
u(+)v=[(x1^1/3 + x^2^1/3)^3, (y1^1/3 + y2^1/3)^3] and
c(*)v=(c^3*x2, c^3*y2), where (*)and(+)anr non-standard operations,
I want to prove that V form a vector space, using 10 vector space axioms. But, I can't figure out how to handle the exponents (raised to the third power) in the operations...Also, I am confused about the "non-standard"...Can I still use some real number for x and y (like x=1, y=1)and 'c' when varifying the closure of the axioms? How exactly are "standard" and "non-standard" different when using the ten vector space axioms? For 'distributive property', could I use another vector w=(x3,y3)?
Would you help me with this problem???
Click here to see answer by venugopalramana(3286) |
Question 30774: The Question Reads:
List all of the potential rational zeros of the polynomial function. Do not attempt to find the zeros.
f(x) =2x^3+x^2+3x+8
The Answers to choose are:
(A) +2, +4, +8, +1/2, +7/2
(B) +2, +4, +8, +16, +7/2
(C) 0, +1, +2, +4, +1/2
(D) +1, +2, +4, +8, +1/2
Can you please help me!
Thank you!
Click here to see answer by venugopalramana(3286) |
Question 33004: Could you help me again? For some reason the chart doesnt show here, but Im hoping you can make it out & help me solve and explain the steps along the way, so hat I may understand it better. Thank you very much. :)
Fill in the chart given this linear equation:
3x + y = 10
x y
-2
-1
0
1
2
Dee
Click here to see answer by xcentaur(357) |
Question 33006: This is a descussion question that I totally dont get. Am I suppose to graph this? How am I suppose to set up the graph so it shows on the Discussion board?
Can someone help me solve this and explain how it was achueved?
Name the coordinate described here:
From the origin, the point is five places to the right and nine places down.
Thank you very much! :)
Dee
Click here to see answer by xcentaur(357) |
Question 33013: Find the midpoint between these points:
(2, 3) and (8, 1)
Can you explain how I am to achieve this?
Also...
Can you tell me if I did this correctly?
Solve for x:
2(x + 1) > 12
My answer:
Simplify left side and right side to get:
2x + 1= 12-3
2 + 1 + x = 12
x = 9
Thank you,Thank you Thank you
Dee
Click here to see answer by stanbon(26259) |
Question 33660This question is from textbook College Alegbra
: 1)An open-top box is to be constructed from a 6 by 8 foot rectangular cardboard by cutting out equal squares at each corner and the folding up the flaps. Let x denote the length of each side of the square to be cut out.
a)Find the function V that represents the volume of the box in terms of x.
Answer
b)Graph this function.
Show Graph here
c)Using the graph, what is the value of x that will produce the maximum volume?
Answer
2)The volume of a cylinder (think about the volume of a can) is given by V = pr2h where r is the radius of the cylinder and h is the height of the cylinder. Suppose the volume of the can is 100 cubic centimeters.
a)Write h as a function of r.
Answer
b)What is the measurement of the height if the radius of the cylinder is 2 centimeters?
Answer
Show work in this space
c)Graph this function.
Show graph hereThis question is from textbook College Alegbra
Click here to see answer by venugopalramana(3286) |
Question 33699This question is from textbook College Algebra
: 5)Logarithms:
a)Using a calculator, find log 10000 where log means log to the base of 10.
Answer:
b)Most calculators have 2 different logs on them: log, which is based 10, and ln, which is based e. In computer science, digital computers are based on the binary numbering system which means that there are only 2 numbers available to the computer, 0 and 1. When a computer scientist needs a logarithm, he/she needs a log to base 2 which is not on any calculator. To find the log of a number to any base, we can use a conversion formula as shown here:
log b a = loga/logb
Using this formula, find log 10000.
Answer:
Show work in this space
This question is from textbook College Algebra
Click here to see answer by Nate(3495) |
Question 34258: Problem: Is it possible for the columns of a 4x3 matrix to be linearly dependent? if so, give an example and demonstrate the dependence. If not, prove it.
I understand what linearly dependent means, but I don't know what kind of a matrix we should use to prove it without coming up with a clear example with numbers. Please help.
Click here to see answer by venugopalramana(3286) |
Question 31747: Let P (n) represent the statment 2+6+10+...+(4n-2)=2n^2
In the proof that P (n) is true for all integers n, n>1, what term must be added to both sides of P (k) to show P (k+1) follows form p(k)?
(A) 4k+2
(B) P(k+1)
(C) 4k+6
(D) 4k-2
Thank you for your assistance!
Click here to see answer by venugopalramana(3286) |
Question 34491This question is from textbook COLLEGE ALGEBRA WITH MODELING AND VISUALIZATION
: 3) 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 of years.
Suppose you deposit $10,000 for 2 years at a rate of 10%.
a) Calculate the return (A) if the bank compounds annually (n = 1).
Answer:
Show work in this space. Use ^ to indicate the power.
b) Calculate the return (A) if the bank compounds quarterly (n = 4).
Answer:
Show work in this space
c) Calculate the return (A) if the bank compounds monthly (n = 12).
Answer:
Show work in this space
d) Calculate the return (A) if the bank compounds daily (n = 365).
Answer:
Show work in this space
e) What observation can you make about the increase in your return as your compounding increases more frequently?
Answer:
f) If a bank compounds continuous, then the formula takes a simpler, that is
where e is a constant and equals approximately 2.7183.
Calculate A with continuous compounding.
Answer:
Show work in this space
g) Now suppose, instead of knowing t, we know that the bank returned to us $15,000 with the bank compounding continuously. Using logarithms, find how long we left the money in the bank (find t).
Answer:
Show work in this space
h) A commonly asked question is, “How long will it take to double my money?” At 10% interest rate and continuous compounding, what is the answer?
Answer:
Show work in this space
4) For a fixed rate, a fixed principal amount, and a fixed compounding cycle, the return is an exponential function of time. Using the formula, , let r = 10%, P = 1, and n = 1 and give the coordinates (t, A) for the points where t = 0, 1, 2, 3, 4.
a) Show coordinates in this space
Show work in this space
b) Show graph here
This question is from textbook COLLEGE ALGEBRA WITH MODELING AND VISUALIZATION
Click here to see answer by stanbon(26259) |
Question 34572: need help with the following:
1. The table below shows the comparison of the cost, in dollars, of a $100,000 life insurance policy for female nonsmokers at certain ages
Age, a Cost, C
31 170
32 172
33 176
34 178
35 182
Model the data with a linear function using age 32 and 35.
2. Using the line in Exercise 2, predict the cost of the life insurance for a female nonsmoker of age 40.
Click here to see answer by stanbon(26259) |
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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890
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