1,954 Answered Questions for the topic linear algebra
10/04/20
Any one can solve it step by step
into echelon form and find the rank *Find a parametric solution for the system5w _ 2x + y _ z = 02w + x + y + z = _1_w + 3x _ y + 2z = 3
Exponential Modelling Question
A tour guide noticed that larger groups took more time to assemble for an event. The guide collected the data belowNumber of People 2, 3, 4, 5, 6, 7, 8, 9, 10Time to Assemble(Minutes) 2, 2.6, 3.4,...
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Exponential Modelling Question
Radium has a half-life of 1620 years. Suppose 3 g of radium is present initially. Complete the table. (Round ALL decimal answers to the nearest hundredth EXCEPT your answer for b which will need...
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Exponential Modelling Question
In a study of the change in an insect population, there were about 170 insects four weeks after the study began and about 320 insects in week 6. Round your decimal answers to the nearest...
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Exponential Modelling Question
A CT scan shows that the patient has a 3 cm tumor. After 25 days, the size of the tumor has has increased to 5.9 cm. What is the growth rate?b = Answer (round to the nearest hundredth)Percentage...
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Linear Algebra Math
10/02/20
Write an equation for the line in the given form. slope is −3 and (2, 6) is on the line;Write it in standard form
Linear Algebra
10/01/20
𝐴,𝐵,𝐶 are 𝑛×𝑛 invertible matrices. Simplify (𝐴𝐶)^−1𝐴𝐵(𝐶𝐵)^−1𝐶
A car purchased for $20,160 is expected to depreciate according to the formula f(x) = −1920x + 20,160, where f(x)
A car purchased for $20,160 is expected to depreciate according to the formula f(x) = −1920x + 20,160, where f(x) is the value of the car after x years. After how many years will the car be...
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A small business predicts sales accord
A small business predicts sales according to a straight-line method. If sales were $40,000 in the first year and $160,000 in the third year, find the rate of growth in dollars per year (the slope...
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Exponential Growth Problem
Edgar wants to celebrate his retirement at age 70 with a trip around the world. He estimates that he will need $100,000 to take this trip. Edgar is currently 30 years old. How much money would he...
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Exponential Growth Problem
A gardener recycles yard waste in a compost bin in which each month 90% of the previous month's material is still present. The gardener fills his compost bin (which holds 20 cubic feet of material)...
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Exponential Growth Problem
Identify the following functions as either growth, decay, or neitherf(x) = 2(1.03)^xg(x) = 5(0.25)^10h(x) = 0.25(5.06)^xj(x) = 0.06(-4.02)^x
Exponential Growth Problem
On your 21st birthday, $4000 is invested for you at an annual yield of 8%. You do not withdraw any money from the account. What will be the balance in the account when you are 65?
Exponential Growth Problem
In 2009, the population of Ireland was 4,156,119, with an average annual growth rate of 1.13%. Assume this growth rate continues. Write the population P as a function of n, the number of years...
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Linear Algebra
09/27/20
Describe all possible ways in which two planes (passing through origin) in R3 could intersect.
09/26/20
Using Gauss-Jordan elimination to solve the following system (if possible)
(i) Using Gauss-Jordan elimination to solve the following system (if possible)x1 + x2 + x3 = 7x1 - x2 + 2x3 = 75x1 + x2 + x3 = 11Then, find the ranks of the matrix of coefficients and the augmented...
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How would you solve these inequalities?
1. You can work a total of no more than 10 hours each week at your two jobs. Housecleaning pays $5 per hour and your sales job pays $8 per hour. You need to earn atleast $56 each week to pay your...
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Linear Algebra
09/25/20
Solving a value mixture problem using a linear equation
At the movie theatre, child admission is $5.10 and adult admission is $9.10. On Thursday, four times as many adult tickets as child tickets were sold, for a total sales of $913.00. How many child...
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Linear Algebra Functions
09/24/20
linear function
Find the parameters a and b included in the linear function f(x) = a x + b so that f -1 (2) = 3 and f -1 (-3) = 6, where f -1 (x) is the inverse of function f.
Linear Algebra
09/24/20
Select all statements below which are true for all invertible 𝑛×𝑛 matrices 𝐴 and 𝐵
ABA-1=B
(A+A-1)9=A9+A-9
A+B is invertible
(In-A)(In+A)=In-A2
(A+B)2=A2+B2+2AB
A5 is invertible
Does a negative value for r imply a negative slope for a linear regression line
A negative value for r implies a negative slope for a linear regression line. True or False
Regression Line car problem
The data set below gives the greenhouse emissions and fuel economy for five car modelsCar Model City MPG Greenhouse Emissions A 21 8.0 B 11 14.1 C 19 ...
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Linear model line of best fit problem
Table:Family Member Age States VisitedJane 16 15Cousin Xia 16 18Dad 40 27Grandma 70 ...
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Consider the linear model f(x) = 5.2x - 3
Consider the linear model f(x) = 5.2x - 3. If needed, round your answer to the nearest tenth.Given a residual of -0.2 at x = 1, find the observed value. Answer: Given a residual of 2.1 at x = 4,...
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