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Construct a 2 X 2 matrix A such that the solution set of the equation Ax = 0 is the line in R2 through (4; 1) and the origin. Then, find a vector b in R2 such that the solution set of Ax = b is not a line in R2 parallel to the solution set of Ax = 0. Why does this not contradict Theorem 6?
a man invests 20000at an annual interest rate of 7%, and 12000 at an annual interest rate of 7.5%. what was his annual income in the two investments?
You place a cup of 210°F coffee on a table in a room that is 68°F, and 10 minutes later, it is 200°F . Approximately how long will it be before the coffee is 180°F? Use Newton's law of cooling: 180°F A: 1 hour B: 15 minutes
How much money can a person afford to borrow at 8% interest compounded semiannually if the loan is to be repaid at half-year intervals for 10 years with $1000 payments per half-year?
In Utah, a license plate consists of 3 digits followed by 3 letters. The letters I, O, and Q are not used, and each digit or letter may be used more than once. How many different license plates are possible?
what is the correct classification of 18x?
Consider the debt ratio. First, explain a position for including short-term liabilities in the debt ratio. Second, explain a position for excluding short-term liabilities from the debt ratio. Evaluate both positions.
One of the students in my class was absent the day of the test. The teacher announced that the class average for the 24 students who took the test was 75%.
Find the marginal pmfs of X and Y, explore if X and Y are independent and find the conditional pmf of Y given that 3 eggs among the six selected are cracked. What is the probability that X 1?
The monthly sales at an import store are currently $10,000 but are expected to be declining at the rate of S'(t) = -10t^(2/5) dollars per month t months from now. The store is profitable as long as the sales level is above $8,000 per month. Find a fo..
A hot-air balloon exerts a 1200-lb pull on a tether line at 45 degree angle with the horizontal. Resolve the vector B into components.
Compute the margin of error in estimating a population mean for a sample size of 600 and a variance of 4. Round your answer to the thousandths place.
Melissa is a 6 month old patient who weighs 7 kilograms(kgs). After a recent visit to the physician , she has an order for Phenobarbital 21 mg PO BID. The recommeded dosage range for Phenobarbital is 5-8mg/kg/24 hour to be given in 2 divided doses..
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