Tutors Answer Your Questions about Linear-systems (FREE)
Question 1162741: In a family with only two daughters, one of the daughters is currently three times as old as the other. Two years ago the older daughter was four times as old as the younger sister was then. What is the current age of both daughters ?
Click here to see answer by ikleyn(52782)  |
Question 1163006: How would I write an equation in standard form with the points (3/2,-1/2) and (-1/2, 5/2)? The answer key the teacher has provided states that 6x+4y=7 is the answer, but I can't figure out how to get there.
Click here to see answer by ikleyn(52782)  |
Question 1163577: Let Pn be the space of polynomials of degree n or less in variable t. Suppose,
: LP P 2 3 o is a linear transformation such that L 1 4, 3 Lt t , and
2 1. Lt t Determine,
(i) 2 L a bt ct ,
(ii) all values of a, b and c such that 2 3 L a bt ct t t 13 2 .
Click here to see answer by ikleyn(52782)  |
Question 1164132: The total cost for tuition plus room and board at a particular university in Hawaii is $2202. Tuition costs $559 more than room and board. What is the tuition fee? What does the room and board cost? Round your answer to the nearest cent if necessary.
Click here to see answer by solver91311(24713)  |
Question 251591: Eight years ago, Ed was ten times as old as his youngest daughter Faith. In six years, he will only be three times as old as her. What are Ed's and Faith's ages now?
I needed a system of two equations and I came up with
10F-8=E-8
3F+6=E+6
They didn't work. I'm terrible with age problems. Please help!
Click here to see answer by AndrewWillie(2)  |
Question 251591: Eight years ago, Ed was ten times as old as his youngest daughter Faith. In six years, he will only be three times as old as her. What are Ed's and Faith's ages now?
I needed a system of two equations and I came up with
10F-8=E-8
3F+6=E+6
They didn't work. I'm terrible with age problems. Please help!
Click here to see answer by josgarithmetic(39617) |
Question 251591: Eight years ago, Ed was ten times as old as his youngest daughter Faith. In six years, he will only be three times as old as her. What are Ed's and Faith's ages now?
I needed a system of two equations and I came up with
10F-8=E-8
3F+6=E+6
They didn't work. I'm terrible with age problems. Please help!
Click here to see answer by ikleyn(52782)  |
Question 251591: Eight years ago, Ed was ten times as old as his youngest daughter Faith. In six years, he will only be three times as old as her. What are Ed's and Faith's ages now?
I needed a system of two equations and I came up with
10F-8=E-8
3F+6=E+6
They didn't work. I'm terrible with age problems. Please help!
Click here to see answer by greenestamps(13200)  |
Question 1164570:
Write a cost function for the problem. Assume that the relationship is linear.
A cab company charges a base rate of $2 plus 40 cents per minute. Let C(x) be the cost in dollars of using the cab for x minutes.
Click here to see answer by ikleyn(52782)  |
Question 1164573: In the year 2009,the average annual cost to employees for employer family health coverage was approximately $3500.In 2014,that amount was approximately $4500.
(a) Write a linear equation expressing the average annual cost to employees y in terms of the number of years x after 2000.
(b) What was the average annual cost in 2014?
(c) If the trend continues, what will be the first full year in which costs exceed $7000?
Click here to see answer by Boreal(15235)  |
Question 1164571:
The number (in millions) of employees working in educational services in a particular country was 14.4 in 2005 and 16.2 in 2014. Let x=5 correspond to the year 2005, and estimate the number of employees in 2008.
Assume that the data can be modeled by a straight line and that the trend continues indefinitely. Use two data points to find such a line and then estimate the requested quantity.
Let y represent the number of employees. The linear equation that best models the number of employees (in millions) is ____
In 2008,the number (in millions) of employees working in education services would be ___
Click here to see answer by Boreal(15235)  |
Question 1164987: Use two equations in two variables to solve the application. See Example 3. (Objective 1)
A 60-meter path surrounds a rectangular garden. The width of the garden is two-thirds its length. Find its area (in m2).
Click here to see answer by ikleyn(52782)  |
Question 1164986: Use two equations in two variables to solve the application. See Example 1. (Objective 1)
Chayla and Lena pool their resources to buy several lottery tickets. They win $370,000! They agree that Lena should get $70,000 more than Chayla, because she gave most of the money. How much will Chayla
Click here to see answer by ikleyn(52782)  |
Question 1165133: Bill Alther is a zoologist who studies Anna's hummingbird (Calypte anna). (Reference: Hummingbirds, K. Long, W. Alther.) Suppose that in a remote part of the Grand Canyon, a random sample of six of these birds was caught, weighed, and released. The weights (in grams) were as follows.
3.7 2.9 3.8 4.2 4.8 3.1
The sample mean is x bar = 3.75 grams. Let x be a random variable representing weights of hummingbirds in this part of the Grand Canyon. We assume that x has a normal distribution and σ = 0.64 gram. Suppose it is known that for the population of all Anna's hummingbirds, the mean weight is μ = 4.30 grams. Do the data indicate that the mean weight of these birds in this part of the Grand Canyon is less than 4.30 grams? Use α = 0.10.
Compute the z value of the sample test statistic. (Enter a number. Round your answer to two decimal places.)
(c) Find (or estimate) the P-value.
Click here to see answer by Boreal(15235)  |
Question 1165203: Prose rhythm is characterized as the occurrence of five-syllable sequences in long passages of text. This characterization may be used to assess the similarity among passages of text and sometimes the identity of authors. The following information is based on an article by D. Wishart and S. V. Leach appearing in Computer Studies of the Humanities and Verbal Behavior (Vol. 3, pp. 90-99). Syllables were categorized as long or short. On analyzing Plato's Republic, Wishart and Leach found that about 26.1% of the five-syllable sequences are of the type in which two are short and three are long. Suppose that Greek archaeologists have found an ancient manuscript dating back to Plato's time (about 427 - 347 B.C.). A random sample of 317 five-syllable sequences from the newly discovered manuscript showed that 61 are of the type two short and three long. Do the data indicate that the population proportion of this type of five syllable sequence is different (either way) from the text of Plato's Republic? Use α = 0.01.
What is the value of the sample test statistic? (Round your answer to two decimal places.)
(c) Find the P-value of the test statistic. (Round your answer to four decimal places.
Click here to see answer by Boreal(15235)  |
Question 1165319: Write the following as an algebraic expression . Then simplify
The total amount of money (in cents) in X quarters, (X+2) , and 2x nickels. (The value of a quarter is 25 cents, the value of a dime is 10 cents, and the value of a nickel is 5 cents.
Click here to see answer by ikleyn(52782)  |
Question 1165498: The temperature in degrees Kelvin is 273 degrees more than the temperature in degrees Celsius. Use the formula C=5/9(F−32) to write a formula for the temperature in degrees Fahrenheit F in terms of the temperature in degrees Kelvin K.
Click here to see answer by Theo(13342)  |
Question 1165499: The formula for the volume V of a cylinder is V = πr2h, where r is the radius of the base and h is the height of the cylinder. Solve the formula for h.
Choose the correct formula.
A. h=Vπr2
B. h=Vπ/r2
C. h=Vr2/π
D. h=V/πr2
Part B
Find the height of a cylinder with a volume of 36π cm3 and a base with a radius of 3 cm.
h = __ cm
Click here to see answer by Alan3354(69443)  |
Question 1165497: In physics, the Ideal Gas Law describes the relationship among the pressure, volume, and temperature of a gas sample. This law is represented by the formula PV = nRT, where P is the pressure, V is the volume, T is the temperature, n is the amount of gas, and R is a physical constant. Which of the equations below are equivalent to the formula PV = nRT? Select all that apply.
A. P = VnRT
B. V = nRT/P
C. n = PV/RT
D. R = PVnT
E. T = nR/PV
Click here to see answer by Alan3354(69443)  |
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