Algebra question and answers for October 12, 2023
- Q Find the quotient of the complex numbers. Leave your answer in polar form.Z2NZ?2122*2? = 6 (cos+ i sin ) 22=7 [cos + i sin55111111-expression T
- Q Write the number i ?-9 in simplest form, without a negative radicand.i?-9 =_________ (Simplify your answer. Type an integer or a fraction.)
- Q Calculate ?-4-3i. Give your answer in a + bi form. Give the solution with smallest positive angle.Round to at least one decimal place.
- Q Divide: 1 - 5i/ -1 + 6i . Write your answer in a + bi form
- Q Divide: 6- 6i/ 7 + 2i Write your answer in a + bi form
- Q Rewrite the complex number 8e^1.5i in a + bi form
- Q Rewrite the complex number 5e^6i in a + bi form
- Q Rewrite the complex number 10e^1.5i in a + bi form
- Q Calculate ?2+4i. Give your answer in a + bi form. Give the solution with smallest positive angle.Round to at least one decimal place.
- Q Rewrite the complex number 2e^2i in a + bi form
- Q Rewrite the complex number 10e^3i in a + bi form
- Q A group of friends is planning to go to Europe 3 years from now and have agreed to set aside $150 each month for their trip. If they deposit this...
- Q In an orthonrmal cordinate system for thetriangle, a circle inscribed in a triangle with vertices 0 (0.0), P(a.0) and Q(0.a) has a radius of 1. What is the area of...
- Q Let L. be the line with parametric equationsx = -9+31y=-4-3tz=-7Find the vector equation for a line that passes through the point P (6, 9, 9) and intersects L at a...
- Q The area, A, in square feet, of the base of a rectangular storage bin in a warehouse is given by the function A(x) = -2x + 36x, where x is...
- Q The height, h, in feet of the tip of the minute hand of a wall clock as a function of time, t, in minutes can be modeled by the equation...
- Q Solve the equation.2y + 2(y-8)= 4y -2(y-10)Select the correct choice below and, if necessary, fill in the answer box to complete your choice.A. The solution is(Simplify your answer.)B. The solution...
- Q Multiply the complex number by its complex conjugate.4 + 3i
- Q A football team scored 73 points during a game from touchdowns (6pts each), extra points (1pteach), and field goals (3pts each).The coach chastised the kicker afterward for only making half...
- Q A ball is projected directly upward from an initial height of 200 feet with an initial velocity of 64 ft per second. The function s(t) = -16t + 200t +64...
- Q 23. Suppose that point p is on a circle withradius r = 15 cm, and ray op is rotatingwith W = ? rad / see.a. Find the distance traveled by...
- Q A rectangle with constant area has possible lengths and widths as shown in the table below.Width vs. Length of a RectangleWidth (w)2468Which equation can be used to find any corresponding...
- Q The voltage V of an audio speaker can be represented by V-4/P, where P is the power of the speaker. An engineer wants to design a speaker with 484 watts...
- Q In this problem, p is in dollars and x is the number of units.The demand function for a certain product is p = 121 - x and the supply function...
- Q For the equation 6x + 5y = 30, (a) write it in slope-intercept form, (b) give theslope of the line, (c) give the y-intercept, and (d) graph the line....(a) The...
- Q Review the following words and re-writethem below the inequality in which theywould apply. (Words could be used morethan once or not at all.)Union And Or Intersection CompoundInequality|3x1|< 412-3x ? 5
- Q The conjugate of a complex number a + bi is 25 + 3i. What is a + bi?O-25+ 3i25-3i
- Q Determine the domain and range of the given quadratic function below. Enter your answer using interval notation.f(x) = 3x + 12x - 2(a) Domain:(b) Range:
- Q 5 Solve your given pair of complex numbers placing themon an Argand diagram.B = 3 + 2j C = 3 - 2j(a) X+Y(b) Y-X
- Q Identify the conic section represented by the equation by rotating axesto place the conic in standard position.Find an equation of the conic in the rotated coordinates, and find theangle of...
- Q 5. y 3sin(12(x+?/24)) + 15. Write the equation of a sine curve, with smallest possible phase shift, if it has a maximum at(4) and the nearest minimum to the right...
- Q The price that a farmer receives for radishes is $62.00 percwt. (100 pounds). The price for processed radishes is$75.00 per cwt and the price for processed radishes at theretail level...
- Q 1Find the indicated values for f(x)=x.a.b.c.a. f(0) =f(0)f(24)f(-24)
- Q To determine the distance between twoaircraft, a tracking station continuouslydetermines the distance to each aircraftand the angle A between them (see figure).Determine the distance a between theplanes when A= 38,...
- Q Solve the system of first-order linear differential equations.
- Q f(x) is a third-degree polynomial having only real coefficients. It has -1 and -2i as zeros, and the y-intercept(0, -3). Find f(x).
- Q Let : RProve thatdefinition!)?R2 be the projection function given by (x, y, z) = (x, y).is a continuous function. (Extra Credit if you use the ?-8
- Q How far away from a lighthouse on shore can aship be seen if the observer in the lighthouse is100 ft above the surface of the Earth? Radiusof the Earth is...
- Q GeometryDetermine each of the following for the functiony= 6 cos(5(x +45)) 3. Justify your answer.i.The amplitudeii.The periodFormula: 2TT/K=360/K (calculate exactnumber)iii.The phase shiftiv.The vertical shift of the functionb. Sketch the one...
- Q K Write the form of the partial fraction decomposition of the rational expression It is not necessary to solve for the constants 4x 5x x 6 What is the form...
- Q x x 8 3 2 X X x x 8 3 X X Use integers or fractions for any numbers in the expression
- Q the fountain poor area removed has an area of 45 square meters and a perimeter of 48 meters Find the dimensions of the floor and the dimensions of the square...
- Q measure of the three interior angles What is the measure of angle x X What is the measure of angle y y 0 Thed with variables Find the
- Q e the given conditions to write a system of equations Solve the system and find the numbers e sum of two numbers is 13 If one number is subtracted from...
- Q The right triangle below is dilated by a scale factor of Find the perimeter and area of the right triangle below as well as the perimeter and area of the...
- Q Subtract 3x 5x 2 2x 5x 4 The constant in the final answer is Select one O a 4 O b 6 O c 6 Od 4
- Q K The area of the rectangular piece of cardboard shown below is 198 square inches The cardboard is used to make an open box by cutting a 2 inch square...
- Q Does the function x x have any horizontal or diagonal asymptotes x 3 x 4 x 10 x 2 Yes the horizontal asymptote is y 1 Yes the horizontal asymptote...
- Q The Royal Fruit Company produces two types of fruit drinks The first type is 35 pure fruit juice and the second type is 85 pure fruit juice The compan attempting...
- Q Solve cos 2 x cos x sin 2 x for 0 degrees x 360 degrees
- Q Solve for x 4 In x 2 7 Do not round any intermediate computations and round your answer to the nearest hundredth
- Q 39 Solve for x 7 18 Check all that apply 11 0 25 0 21 0 24
- Q Round your answer to the nearest hundredth if necessary 46 Use Substitution to solve format your answers as fractions if necessary 30y 12x 90 8y x 15 C y x...
- Q O 6 15 Ob 15 Ob 26 43 Given the formular x tx p i solve for the variable p Hint click the button next to the answer box to...
- Q 29 Graph the equation y 0 6x 10 If you have a graphing calculator you may use it Find y when x y 30 What is the mode in the...
- Q following graph 3x ly 6 and 6x 3y 6 O1r ly 20 and 6x 1y 2 O 1x 3y 2 and 8x ly 6
- Q Analyze the following graph of a system of two equations Identify the coordinates of the solutions to the system More than one answer may be correct check all that apply...
- Q 1 The air pressure decreases as we rise in altitude and increases as we decrease in altitude The graph shown below gives the air pressure as a function of altitude...
- Q 16 What property is shown here 3x6 5 3 6 5 O Commutative Property O Associative Property O Distributive Property O None 17 The distributive property is best illustrated by...
- Q 21 Given the two points 3 5 and 3 1 what is the slope of a line passing through both these points Om 6 m 0 Om 6 Om 1...
- Q Two ordered pairs that are solutions of the equation 2y 3x 8 are O 0 4 7 2 O 0 4 2 7 4 0 4 2 O 4 0...
- Q 43 What is the mathematical property demonstrated in the following equation 5x7 7x5 O Distributive Property O Associative Property O Commutative Property O None 44 There are 36 bikes in...
- Q According to the Motley Fool in a recent year there were 146 7 million personal federal tax returns filed and the average amount of tax paid per filer was 9882...
- Q B Felicia purchased an investment property for 102 450 Her annual expenses for mortgage interest taxes repairs and depreciation total 7 105 She rents the house to someone for 975...
- Q 12 Richard purchased a 1 000 bond at a quoted price of 88 5 The bond pays annual interest at a rate of 4 What is the cost of the...
- Q Myra paid 1 975 for 50 shares of stock They sold for 45 60 a share There was no commission charge What was their profit or loss 3 points
- Q It is estimated that there were 51 3 billion pieces of trash on 79 million miles of roadways in a recent year On average how many pieces of trash were...
- Q 8x 3x 3x 1 The degree of the first term is of the polynomial the leading term the leading coefficient and the degree of the polynomial
- Q 9 5 8 3 2 6 3 3 2 Round to the nearest thousandth
- Q Suppose that 18 000 is invested at 3 compounded quarterly How much is in the account at the end of 5 years Use the compound interest formula A P1 A...
- Q inches long by 2 4 inches high a What is the surface area of the pencil box 0 5 in b Layne just placed an eraser with the dimensions shown...
- Q R Find the shortest distances between a the point 2 1 5 and the line x b the point 0 3 8 and the line 21 1 x2 2 x3...
- Q Suppose the vector C 6 is in the nullspace of the matrix d 1 5 287 3 2 19 4 1 7 Determine c and d giving your answers exactly...
- Q The area of the rectangular piece of cardboard shown below is 238 square inches The cardboard is used to make an open box by cutting a 3 inch square from...
- Q For the differential equation y 5y 4y 88e7t a State the characteristic polynomial for the differential equation b List the roots of the characteristic polynomial c List y and y2...
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