Algebra question and answers for October 14, 2023
- Q Find the difference between the complex numbers.(?4+8i)?(?6+8i)
- Q The Sandersons are planning to refinance their home. The outstanding principal on their original loan is $150,000 and was to amortized in 240 equal monthly installments at an interest rate...
- Q Find the value of x in this equation2xr +x =m
- Q Find exact values without a calculator. Draw a reference triangle in the appropriate quadrant and show your work. (4 points each)a. sin [cos-(1/3)]b. cos [cot-(-3/7)]
- Q The forces F?, F2, F3, ..., Fn acting on an object are in equilibrium if the resultant force is the zero vector.F?+F2 +F3+.+Fn = 0The forces F? =7i-7j and F?...
- Q From 2010 to 2012, the average selling price of tablets decreased by 30% This percent reduction amounted in a decrease of $198 Find the average selling price of tablets in...
- Q Find the square roots of the complex number z = 16 cis 60. Select all correct answers.Select all that apply:4 cis 1204 cis 2404 cis 304 cis 454 cis 210?4...
- Q The equation N (t) = 450 / 1+49e-0.7t models the number of people in a town who have heard a rumorafter t days. As t increases without bound, what value...
- Q Prove that 1, -1, i and i are the only units in the ring Z[i] of Gaussian integers.
- Q Apply the alternative form of the Gram-Schmidt orthonormalization process to find an orthonormal basis for the solution space of the homogeneous linear system.
- Q a culture is increasing according to the law of exponential growth. After 2 hours, there are 50 bacteria, and after 4 hours, there are 200 bacteria. How many bacteria will...
- Q Classify as = 1,<1, or >1. For n>1.|i^n|A=1B<1C>1
- Q A plane is flying with a velocity vector of <424.2, 474.2 >. The wind isblowing at a velocity vector of <-483.4, -814.5>. Units are in miles perhour.Add these vectors and...
- Q Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to two decimal places where appropriate.)cos()-0.121.45+2nk, 4.83 + 2rk radList six specific...
- Q Use the Laplace transform to solve the given system of differential equations.dxdxdy++dt dt dtdy dydt dt+x(0) = 1,dxdt16.= 0= 0x'(0) = 0, y(0) = -1, y'(0) = 17
- Q Determine the quadrant in which the terminal side of 0 lies.(a) sin0> 0 and tan0 < 0quadrant II(b) sin0> 0 and cos0 > 0quadrant I?
- Q Which of the following represents the mean of the data set below?8, 12, 15, 35, 35
- Q What is the mode of the following series of numbers?3, 15, 9, 17, 14, 8, 3, 25, 10, 22
- Q Solve the inequality set. Graph the solution on a numberline.|2x + 12| >13x < -12.5 or x > 0.5-12.5 x or x < 0.5x>-12.5 or x < 0.5-12.5 < x...
- Q If : X ? Y is any function, : ? :f ? f is a homomorphism. ring1) prove that if (f)=0 then f=0.2) show that if p is injective...
- Q Let F be a field and F is a fixed algebric closure of F. Suppose E? F is an arbitrary extension field of F and K is a finite Galois...
- Q Find the particular solution of the following equation with y(2) = 1. xy3dx + (1 - x)dy = 0
- Q Sketch the graph of y = 4 cos 2x over a period.
- Q For n > 5, is there an arrangement of n circular disks where 2n intersection points of the associated circles lie on the edge of the union of the circular...
- Q Examine the following graph of a function modeling damped harmonic motion. Find the equation for the function pictured in terms of y and t. Assume that a factor of e-te-t...
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