In Exercises 41, use the four-step strategy to solve each problem Use x, y and z to represent unknown quantities- Then translate from the verbal conditions of the problem to a System of three equations in three variables.
The bar graph shows the average number of hours U.S. college students study per week for seven selected majors-Study times are rounded to the nearest hour.
Source: statista.com
The combined weekly study time for students majoring in chemical engineering, mathematics, and psychology is 52 hours. The difference between weekly study lime for chemical engineering majors and math majors is 6 hours. The difference between weekly study time for chemical engineering majors and psychology majors is 8 hours, find the average number of hours per week that chemical engineering majors mathematics majors, and psychology majors spend studying.
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COLLEGE ALGEBRA
- Prove that the usual toplogy is firast countble or hot and second countble. ①let cofinte toplogy onx show that Sivast countble or hot and second firast. 3) let (x,d) be matricspace show that is first and second countble. 6 Show that Indiscret toplogy is firstand Second op countble or not.arrow_forwarda) Find the scalars p, q, r, s, k1, and k2. b) Is there a different linearly independent eigenvector associated to either k1 or k2? If yes,find it. If no, briefly explain.arrow_forwardThis box plot represents the score out of 90 received by students on a driver's education exam. 75% of the students passed the exam. What is the minimum score needed to pass the exam? Submitting x and Whickers Graph Low 62, C 62 66 70 74 78 82 86 90 Driver's education exam score (out of 90)arrow_forward
- How many different rectangles can be made whose side lengths, in centimeters, are counting numbers and whose are is 1,159 square centimeters? Draw and label all possible rectangles.arrow_forwardCo Given show that Solution Take home Су-15 1994 +19 09/2 4 =a log суто - 1092 ж = a-1 2+1+8 AI | SHOT ON S4 INFINIX CAMERAarrow_forwarda Question 7. If det d e f ghi V3 = 2. Find det -1 2 Question 8. Let A = 1 4 5 0 3 2. 1 Find adj (A) 2 Find det (A) 3 Find A-1 2g 2h 2i -e-f -d 273 2a 2b 2carrow_forward
- Question 1. Solve the system - x1 x2 + 3x3 + 2x4 -x1 + x22x3 + x4 2x12x2+7x3+7x4 Question 2. Consider the system = 1 =-2 = 1 3x1 - x2 + ax3 = 1 x1 + 3x2 + 2x3 x12x2+2x3 = -b = 4 1 For what values of a, b will the system be inconsistent? 2 For what values of a, b will the system have only one solution? For what values of a, b will the saystem have infinitely many solutions?arrow_forwardQuestion 5. Let A, B, C ben x n-matrices, S is nonsigular. If A = S-1 BS, show that det (A) = det (B) Question 6. For what values of k is the matrix A = (2- k -1 -1 2) singular? karrow_forward1 4 5 Question 3. Find A-1 (if exists), where A = -3 -1 -2 2 3 4 Question 4. State 4 equivalent conditions for a matrix A to be nonsingulararrow_forward
- How long is a guy wire reaching from the top of a 15-foot pole to a point on the ground 9-feet from the pole? Question content area bottom Part 1 The guy wire is exactly feet long. (Type an exact answer, using radicals as needed.) Part 2 The guy wire is approximatelyfeet long. (Round to the nearest thousandth.)arrow_forwardQuestion 6 Not yet answered Marked out of 5.00 Flag question = If (4,6,-11) and (-12,-16,4), = Compute the cross product vx w karrow_forwardConsider the following vector field v^-> (x,y): v^->(x,y)=2yi−xj What is the magnitude of the vector v⃗ located in point (13,9)? [Provide your answer as an integer number (no fraction). For a decimal number, round your answer to 2 decimal places]arrow_forward
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