Algebra question and answers for December 18, 2023
- Q Keiko is choosing between two exercise routines.In Routine #1, she does only running, burning 10.5 calories per minute.In Routine #2, she burns 18 calories walking. She then runs at a...
- Q Given that y = ax b, take the natural logarithmon both sides. Let Y = In y and X = In x.Consider Y as a function of X. What kind...
- Q The 8th term of an arithmetic sequence is 8, and the 20th term is 44.a) Find the first term and the common difference.b) What is the nth term of the...
- Q A random sample of 40 college professors is selected from all professors at a university. The following list gives their ages.66, 46, 47, 41, 37, 53, 45, 44, 47, 23,...
- Q An auditorium has 66 rows of seats. The first row contains 30 seats. As you move to the rear of the auditorium, each row has 2 more seats than the...
- Q For the following exercise, use the functions f(x) = 3x + 3 and g(x) = 5x 4 to evaluate or find the composition function as indicated.g(f(-3)) =
- Q For the following exercise, use the pair of functions to find f(g(0)) and g(f(0)).f(x) = 3x - 1, g(x) = 3 + 5x
- Q Which of the following sets of ordered pairs represents a function?{ (6,6), (9,-1), (9,1), (1,7), (1,-7) }{6,3,9,-1,1,7,4,-4,7,8}{ (6,3), (9,-1), (1,7), (4,-4), (7,8) }{ (6,3), (6,-1), (6,7), (6,-4), (6,8) }
- Q A function N= f(y) gives the number of firefighters, N, in a town in year y. What does f(2014) = 400 represent?The statement f(2014) = 400 tells us that in...
- Q Find the least squares regression line. (Round your coefficients to three decimal places.) (-6, 1), (1, 4), (2, 4), (2, 6)
- Q For the following exercise, write a formula for the function g that results when the graph of a given toolkit function is transformed as described. The graph of f(x) =...
- Q Is the sequence an = 7+ 3n arithmetic?Your answer is (input yes or no)if your answer is yes,its first term isits common difference is 3
- Q Suppose you go to a company that pays 0.05 for the first day, 0.1 for the second day, 0.2 for the third day and so on. If the daily wage...
- Q Write the arithmetic sequence 31, 27, 23, 19, ... in the standard form:
- Q Solve the following system of equations graphically on the set of axes below.y = -1/2x+23x - 2y = 12Plot two lines by clicking the graph.
- Q Write the function rule g(x) after the given transformations of the graph of f(x) = 6x. reflection in the x-axis; vertical compression by a factor of 1/3g(x) =
- Q Please work the problems on a separate piece of paper, take a picture, and upload.1). Graph: 2x + 3y > 122). Graph: 3- y?-lx-4|
- Q Zalia meets her friend at the science museum to see a special exhibition. The admission to the museum is $12.50 per person plus tax. Zalia pays for herself and her...
- Q Write the equation of the line containing the points (-3, 3) and (9, -3). a. (y - 3) = - 1/2(x +...
- Q Determine whether y varies directly with x. If so, find the constant of variation k and write the equation.X y6 9.69 14.412 ...
- Q Find the amount that results from the given investment.$100 invested at 10% compounded quarterly after a period of 4 yearsAfter 4 years, the investment results in $[].(Round to the nearest...
- Q Express in terms of i.?-17 =[](Simplify your answer. Type your answer in the form a + bi.)
- Q An mp3 player is on sale for 30% off the regular price of $39.98. How much is the discount?a. $11.99b. $13.19c. $13.33d. $27.99Please select the best answer from the choices...
- Q The number on the right represents the completely simplified form of the number on the left.?-289 = ?17i?-117 = ?i?117?-9 = 3i
- Q Use logarithms to evaluate (647) (0.00916). What is the logarithm of the answer?A. 0.8490B. 9.8490 - 10C. 0.7728D. 9.7728 10
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