Do These Quickly The following problems are intended to refresh your skills. You should be able to do all 10 in less than 5 minutes. Q1. Find 40% of 2.7. Q2. Find the slope of the line from (-3,5) to (4,8) Q3. Solve for p: (3)/(p)=(5)/(7) Q4. Solve for j:vert j-2vert =5 Q5. Commute the 2 and the 3x: 5+3x+2 Q6. Evaluate the determinant: vert } 4&7 2&9 vert Q7. Write the numerator determinant for y: 3x+7y=4 5x-6y=8 Q8. Draw a trapezoid. Q9. Sketch the graph of a function that is not linear. Q10. Solve for x: -5xgt 20

Q1. Find 40% of 2.7.To find 40% of 2.7, we can multiply 2.7 by 0.40 (since 40% is equivalent to 0.40 as a decimal). Therefore, 40% of 2.7 is 1.08.Q2. Find the slope of the line from (-3,5) to (4,8).The slope of a line passing through two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by the formula: Substituting the given points, we have: Therefore, the slope of the line from (-3,5) to (4,8) is 3/7.Q3. Solve for p: 3/p = 5/7.To solve for p, we can cross-multiply: Dividing both sides by 5, we get: Therefore, the solution for p is .Q4. Solve for j: |j-2| = 5.The absolute value equation |j-2| = 5 can be solved by considering two cases:Case 1: j - 2 = 5Solving for j, we get: Case 2: j - 2 = -5Solving for j, we get: Therefore, the solutions for j are 7 and -3.Q5. Commute the 2 and the 3x: 5 + 3x + 2.To commute the 2 and the 3x, we simply rearrange the terms: Therefore, the commuted expression is 3x + 7.Q6. Evaluate the determinant: |4 7| |2 9|.The determinant of a 2x2 matrix is given by the formula: where a, b, c, and d are the elements of the matrix.In this case, a = 4, b = 7, c = 2, and d = 9.Substituting these values, we have: Therefore, the determinant is 22.Q7. Write the numerator determinant for y: 3x + 7y = 4, 5x - 6y = 8.To find the numerator determinant, we need to form a matrix using the coefficients of x and y in the given equations. The matrix will be: The numerator determinant is given by: Therefore, the numerator determinant is -53.Q8. Draw a trapezoid.As an AI language model, I am unable to draw shapes. However, I can describe a trapezoid for you. A trapezoid is a quadrilateral with at least one pair of parallel sides. The parallel sides are called the bases, and the non-parallel sides are called the legs. You can draw a trapezoid by connecting four points in such a way that two opposite sides are parallel.Q9. Sketch the graph of a function that is not linear.As an AI language model, I am unable to sketch graphs. However, I can describe a function that is not linear. A non-linear function is a function that does not form a straight line when graphed. Examples of non-linear functions include quadratic functions (e.g., ), exponential functions (e.g., ), and logarithmic functions (e.g., \( y = \log_a(x) \)). You can choose any of these functions and sketch its graph.Q10. Solve for x: -5x > 20.To solve the inequality