Basic Math question and answers for January 11, 2024
- Q 7 Let V R2 and define addition and scalar multiplication as follows u v u U v V U v 0 ku k u U ku 0 Which of the...
- Q 2 9 Given that the set 1 1 x x p x is a basis for P2 which of the following is a possible value for p x A 0...
- Q The solid below is made from 1 inch cubes Find the total surface area of the solid Be sure to include the correct unit in your answer 1 inch 0...
- Q 21 On a large residential college campus one student returns from vacation with a contagious and long lasting flu virus The spread of the virus is modeled by 6000 1...
- Q Suppose your credit card has a balance of 5 100 and an annual interest rate of 14 You decide to pay off the balance over three years If there are...
- Q Suppose that there are two types of tickets to a show advance and same day Advance tickets cost 20 and same day tickets cost 15 For one performance there were...
- Q The principal P 400 is borrowed at simple interest rate r 6 25 for a period of time t 3 months Find the sin interest owed for the use of...
- Q Michael is driving to Denver Suppose that the remaining distance to drive in miles is a linear function of driving time in minutes When graphed the function gives a line...
- Q A bank offers a CD that pays a simple interest rate of 5 How much must you put in this CD now in order to have 6 900 to replace...
- Q 3 The height h in meters of a car above the ground as a Ferris wheel turn can be t modelled using the function h BO sin CD where t...
- Q At Greg s auto shop it takes him 9 minutes to do an oil change and 15 minutes to do a tire change Let x be the number of oil...
- Q y year 1950 6 80 1960 7 05 1970 8 89 1980 8 10 1990 6 59 m minimum wage e the table shown to estimate the minimum wage in...
- Q Question Transform orthogonal set 2 1 0 to
- Q mixing system consists of two tanks Tank 1 has a volume of 1000 m Thank 2 is half size of Tank 1 Initially Tank 1 is full of salt brine...
- Q 2 5 points If the graph of y f x is shown below sketch the graph of y sure to label inflection points clearly 4 2 4 2 2 4
- Q 7 From point A on the ground the angle of elevation to the top of a Redwood tree is 32 degrees From point B on the ground 150 yards closer...
- Q Write the statement in symbolic form Let p and q represent the following statements p The teacher is at the blackboard q The students are at their desks The students...
- Q If after row operations a system of linear equations takes the form 4 7x 1 7y 5 5z 3 8 0x Oy Oz 0 Then what is the correct form...
- Q Find the maximum value of the function z 2x 3y subject to the following constraints y20 x25 y 4 2x y 22 z 0 30 2
- Q Use Green s Theorem to evaluate the following line integral for dy dy g dx where f g 10x 11y and C is the upper half of the unit circle...
- Q You have earned 0 point s out of 0 point s thus far Given that sin 2x Z y if x dx 0 25 find the differential Round your answer...
- Q Use a graphing utility to construct a table of values for the function Round your answers to three decimal places f x 4e 1 1x X f x 2 Sketch...
- Q Describe the transformation of the graph of f that yields the graph of g f x 0 3 g x 0 3 9 The graph of g can be obtained...
- Q Solve the system graphically or algebraically If there is no solution enter NO SOLUTION x x y X x y x y 8 0 0 8 64 y 8 smaller...
- Q Find the dimensions of the rectangle meeting the specified conditions The perimeter is 24 4 millimeters and the length is 2 4 times the width Round your answers to one...
- Q Find the Minimal Spanning Tree of the following graph 7 a 1 8 8 O a b c d f e a b a b c d f g 6...
- Q Put the following equation of a line into slope-intercept form, simplifying all fractions.4x- 20y = -160
- Q Problem 4 (5 points) Solve the system of linear equations by Gaussian elimination.x - 2y + 3z = 42x + y + 4z = 3-3x+4y-z = -2
- Q An employee earns a salary of $750 per week and a 4% commission on all sales.Determine the employee's total pay if her sales for the week total $18,100.a. $1,474b. 822.40c....
- Q Compute the total commission for the following commission payment plan.Graduated Commission Rates Sales Commission1% on sales to $125,000 $224,0002% on sales above $125,000a. $3,230b. $2,240c. $4,480d. $3,200
- Q What was the cost of each item?Solve on paper. Then check your work on Zearn. The burger cost $The souvenir cost $The pass cost $
- Q Let f:R to R be a continuous function at x0,x1,..,xn. Alberto states: Since fis continuous, then there exists a unique polynomial P of degree n such that P(xi)=f(xi), for i=0,1,...,n....
- Q Find the projection of u onto v.u = (6,4)= (6, -9)V=projvu =Write u as the sum of two orthogonal vectors, one of which is projvu.U= projvu +
- Q A certain cut of beef costs $7.59 per pound, and a similar cut of pork costs $5.19 perpound. What is the total cost of 3.25 pounds of the beef and...
- Q Solve and check the linear equation.x/3=5+ x-35/5What is the solution? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.A. The solution set...
- Q Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your answer as a function of t.)L^-1 ( 7/ s^2+64)
- Q Let E be an algebraic extension of F and o: E? E be an embedding such that o| F = Id. Then, ? is an automorphism of E.
- Q For u, v R, which of the following is (are) inner product(s)?(A) (u, v) = U?V? + ZU?V? + 5u3V3(B) (u, v) = U?V? - U?V? + ZU3V3(C) (u, v)...
- Q Let f(x) = F[x] be a nonconstant polynomial and a be an element in any field extension E of F. Then, a is a multiple root of f(x) if and...
- Q Find the component form of v, where u = 4i- j and w = i + 4j.v=u - 4wSketch the vector operation geometrically.
- Q Find the component form of the sum of u and v with direction angles ?u and ?v.Magnitude||u|| = 6||v|| = 6?u = 60?v = 90
- Q Find the component form and magnitude of the vector v.Terminal Point(17, -21)Initial Point(-1,2)V=||v|| =
- Q Find the equation of the line using the given information.The slope equals zero and it passes through the point (x, y) = (1,-4).
- Q Let F = GF(p^n) and m be a positive integer. Then there exists a field extensions E of F such that [E: F] = m and any two such extensions...
- Q Suppose V?, V?, V? is an orthogonal set of vectors in R? with V? V? = 35, V? V? = 24, V? V? = 36.Let w be a vector in...
- Q Let P? denote the vector space of all polynomials in the variable x of degree less than or equal to 2. Let C = {3, 2-3x,-2-2x + x} be an...
- Q Find dimension of the linear span of vectors (4; 4;-1; 3;-1); (-1;-2; 2; 0; 4); and (-8;-8; 2;-6; 2).(A) 2(B) 3
- Q Let F be any field and n be a positive integer. Let M be the set of all polynomials over F of degree less than n. Then, prove that M...
- Q Let F be any field and consider the vector spaces F and F over F. Define a F ? F bya(a, b, c) = (a + b + c, b...
- Q Consider the ring Z of integers. Then, Z is a mod-ule over itself. For each positive integer n, prove that the Z-module Z has an n-element generating set X such...
- Q Evaluate the expression when c = 63 and d = 17.d-c/7
- Q 1. Compute the following by using2A=10^- [3 ]. B-[282]. and v-[-]423a) A + 2B and (A + 2B)Tb) (A + 2B)v and ((A + 2B)v)c) VT (A + 2B)
- Q Prove that nullity (A) = nullity(A^T) if and only if A is a square matrix.
- Q Lena spent a total of $60 at the grocery store. Of this amount, she spent $42 on fruit. What percentage of the total did she spend on fruit?
- Q For :9-11, use the points given to find the slope between them. (Answers might be fractions!)9. (-3,4) and (-1,-2)10. (7,9) and (2, -1)11. (-21,9) and (19,-4)
- Q Find the product of the complex numbers. Leave your answer in polar form.Z? = 5( cos 65 + i sin 65)Z? = 9( cos 50 + i sin 50)Choose the...
- Q 18. Let A be a 3x3 real nonsingular matrix such that A^-1 = A. Characterize its eigenvalues.1. -2, 1, or -12. 1 or 23. -1 or -24. 1 or -15....
- Q =< -1, -3> and b= <5, 4>Represent a + b using the parallelogram method.Use the Vector tool to draw the vectors, complete the parallelogram method, and draw a + b.
- Q The high temperature in Jackson, WY, on July 13 was 80F. Use the formula, C = 5/9 (F 32), where C is Celsius degrees and F is Fahrenheit degrees, to...
- Q Find the 11th term of the geometric sequence shown below. 7x?, 28x, 112x?, ...Answer: _____________
- Q The first three terms of a geometric series are sin? cos? and 0.5 where ? is a constant(a) Show that 2sin^? + sin? -2 = 0Given that lies in the...
- Q Solve the following system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent{-x +y +z = -2, -x +3y -3z = -16,...
- Q A circular field in a park will be planted with sod. Sod cost $3 per square yard If the diameter of the circle is 22 yards, what is the radius_________....
- Q 1 XX 1Calculate a) Spectral decomposition of the matrixb) Rank-1 approximation of the matrix
- Q How much larger is a 5/8 inch socket than a 17/ 32 inch socket?
- Q The diameter of the earth is 7,917.5 miles. Calculate the volume of the earth.
- Q Examine the function f(x)= x/6 -2Answer the following questions.What is the slope of the function? (**HINT** What number times x will equal x/6 ?)Provide five input values for x that...
- Q In a recent year a country had a GDP of $575,000,000 and a per capita GDP of $2,500. Based on this information, what was the population of that country in...
- Q Consider the matrix A= 1 2 4 -3 2 4 3 1 1 0 2 -6 ...
- Q In a shop window, a jogging outfit is marked $99.45 was $127.50." What is the rate of discount?
- Q "A polynomial f(r) over an field is irreducible if and only f(x + 1) is irreducible." Prove or disprove.
- Q You want to invest $1,000. Which growth curve would yield the largest principal 5 years from now? 10 years? 20 years? (a) yt = 1,000e^0.040t(b) yt = 1,000 + 48t(c)...
- Q A mapping 7: R ? R is expressed by the transformation matrix below, A = 2 5 ...
- Q Compute Aut(Q(?2, ?3)) with justification. (Give both its size and group structure.)
- Q Find an equation of a generating curve of the surface of revolution y^2 + z - 4x = 0.
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