Tutors Answer Your Questions about Linear Algebra (FREE)
Question 1181922: Each year for the past five years the population of a certain country has increased at a steady rate of 2.7% per year. The present population is 15. 3 million people.
a) What was the population one year ago?
b) What was the population five years ago?
Click here to see answer by ikleyn(52776)   |
Question 1181999: Alice stopped by a coffee shop three days in a row at a conference to buy drinks and
pastries. On the first day, she bought a cup of coffee, a muffin and a scone for which
she paid |6.15. The next day she bought two cups of coffee, three muffins and a
scone (for herself and friends). Her bill was |12.20. The last day she bought a cup
of coffee, two muffins and two scones, and paid |10.35. Determine the price of a cup
of coffee, the price of a muffin and the price of a scone. Clearly explain your set-up
for the problem
Click here to see answer by mananth(16946)  |
Question 1181999: Alice stopped by a coffee shop three days in a row at a conference to buy drinks and
pastries. On the first day, she bought a cup of coffee, a muffin and a scone for which
she paid |6.15. The next day she bought two cups of coffee, three muffins and a
scone (for herself and friends). Her bill was |12.20. The last day she bought a cup
of coffee, two muffins and two scones, and paid |10.35. Determine the price of a cup
of coffee, the price of a muffin and the price of a scone. Clearly explain your set-up
for the problem
Click here to see answer by josgarithmetic(39616) |
Question 1181999: Alice stopped by a coffee shop three days in a row at a conference to buy drinks and
pastries. On the first day, she bought a cup of coffee, a muffin and a scone for which
she paid |6.15. The next day she bought two cups of coffee, three muffins and a
scone (for herself and friends). Her bill was |12.20. The last day she bought a cup
of coffee, two muffins and two scones, and paid |10.35. Determine the price of a cup
of coffee, the price of a muffin and the price of a scone. Clearly explain your set-up
for the problem
Click here to see answer by ikleyn(52776) |
Question 1181999: Alice stopped by a coffee shop three days in a row at a conference to buy drinks and
pastries. On the first day, she bought a cup of coffee, a muffin and a scone for which
she paid |6.15. The next day she bought two cups of coffee, three muffins and a
scone (for herself and friends). Her bill was |12.20. The last day she bought a cup
of coffee, two muffins and two scones, and paid |10.35. Determine the price of a cup
of coffee, the price of a muffin and the price of a scone. Clearly explain your set-up
for the problem
Click here to see answer by greenestamps(13198)  |
Question 1181999: Alice stopped by a coffee shop three days in a row at a conference to buy drinks and
pastries. On the first day, she bought a cup of coffee, a muffin and a scone for which
she paid |6.15. The next day she bought two cups of coffee, three muffins and a
scone (for herself and friends). Her bill was |12.20. The last day she bought a cup
of coffee, two muffins and two scones, and paid |10.35. Determine the price of a cup
of coffee, the price of a muffin and the price of a scone. Clearly explain your set-up
for the problem
Click here to see answer by MathTherapy(10551)  |
Question 1182492: Consider the vectors u1 = [1, 1, 1, 1], u2 = [0, 1, 1, 1], u3 = [0, 0, 1, 1] and u4 = [0, 0, 0, 1] in R4. The set B = {u1, u2, u3, u4} is a basis for R4. Find the unique representation of an arbitrary vector x = [x1, x2, x3, x4] in R4 as a linear combination of the vectors in B.
Click here to see answer by ikleyn(52776) |
Question 1182582: Suppose T is a linear transformation, with T ( u )= ⟨5,−1⟩, T(v)= ⟨−5,−2⟩.
Find the following:
T(u) = _____?_____(Enter vectors ⟨x,y⟩ using < x, y >)
T(3u-4v)= _________?______ (Enter vectors ⟨x,y⟩ using < x, y >)
Click here to see answer by ikleyn(52776) |
Question 1183005: f(x) = 2x^3 + 11x^2 - 21x - 90. (10)
a. Use the rational zero test to list all possible rational zeros of f.
I found these to be x= 3,-5/2,-6
b. Write f as a product of linear factors algebraically. Show all your work
including synthetic division.
Click here to see answer by ikleyn(52776) |
Question 1183005: f(x) = 2x^3 + 11x^2 - 21x - 90. (10)
a. Use the rational zero test to list all possible rational zeros of f.
I found these to be x= 3,-5/2,-6
b. Write f as a product of linear factors algebraically. Show all your work
including synthetic division.
Click here to see answer by josgarithmetic(39616) |
Question 1183005: f(x) = 2x^3 + 11x^2 - 21x - 90. (10)
a. Use the rational zero test to list all possible rational zeros of f.
I found these to be x= 3,-5/2,-6
b. Write f as a product of linear factors algebraically. Show all your work
including synthetic division.
Click here to see answer by MathTherapy(10551) |
Question 1183897: Fruit-for-Africa (Pty) Ltd produces two gift packages of fruits. Package A contains 20 peaches,15 apples and 10 pears. Package B contains 10 peaches, 30 apples and 12 pears. Fruit-for-Africa has 40 000 peaches, 60 000 apples and 27 000 pears available for packaging. The profit on package A is R2.00 and profit on B is R2.50. Assuming that all fruit packed can be sold, what number of packages of type A and B should be prepared to maximize the profit?
i. Write down the linear programming problem
ii. Graphically depict the constraints and shade the feasible region
Click here to see answer by Theo(13342)  |
Question 1185308: Can you help me solve this word problem?
“Marie is worried about spending all of her paycheck. She is spending at a constant rate, and after 14 days, she has $82 left. After 21 days, she has $32 left. When will Marie run out of money?” If you begin to solve this word problem, what would you first need to find? Graph this scenario, as well as calculate the solution algebraically.
Click here to see answer by josgarithmetic(39616) |
Question 1185307: Can you help me answer this word problem?
For Open House in the year 2006, there were 60 tours. In the year 2010 there were 66 tours. Assuming this rate remains constant, predict how many tours will be given in the year 2024. Create an equation to represent this situation and graph it.
Click here to see answer by josgarithmetic(39616) |
Question 1186029: A population of beetles are growing according to a linear growth model. The initial population (week 0) is
P
0
=
4
, and the population after 4 weeks is
P
4
=
52
.
Find an explicit formula for the beetle population after
n
weeks.
P
n
=
After how many weeks will the beetle population reach 292?
weeks
Click here to see answer by ikleyn(52776) |
Question 1186041: Problem: 4y = -3
1. Find the slope, y-intercept, and the x-intercept of your equation and one additional point on the line.
2. Discuss what the slope and the intercepts mean in your problem, not just in general.
3. Show all steps used in finding the slope, the intercepts, and the additional point on the line.
Click here to see answer by Alan3354(69443)  |
Question 1186204: The Intellectual Company produces a chemical solution used for cleaning carpets. This chemical is made from a mixture of two other chemicals which contain cleaning agent X and cleaning agent Y. Their product must contain 175 units of agent X and 150 units of agent Y and weigh at least 100 pounds. Chemical A costs ₱ 8 per pound, while chemical B costs ₱ 6 per pound. Chemical A contains one unit of agent X and three units of agent Y. Chemical B contains seven units of agent X and one unit of agent Y.
Click here to see answer by ikleyn(52776) |
Question 1186249: The Intellectual Company produces a chemical solution used for cleaning carpets. This chemical is made from a mixture of two other chemicals which contain cleaning agent X and cleaning agent Y. Their product must contain 175 units of agent X and 150 units of agent Y and weigh at least 100 pounds. Chemical A costs ₱ 8 per pound, while chemical B costs ₱ 6 per pound. Chemical A contains one unit of agent X and three units of agent Y. Chemical B contains seven units of agent X and one unit of agent Y.
a. Set up the following:
I. Variables
ii. Constraints
iii. Objective Function
b. Find the minimum cost
c. Determine the best combination of the ingredients to minimize the cost.
Click here to see answer by Theo(13342) |
|
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, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760
|
