Algebra question and answers for October 15, 2023
- Q Find the domain, range, x-intercept, and y-intercept for f(x) = (1/2)? - 3. Choose all answers that apply.(A) Domain: (-3,?); Range: (0, ?)(B) Domain: (-?, ?); Range: (3,?)(C) Domain: (-?,...
- Q The population of a town January 1, 2012, was 32450. If the population of this town January 1, 2020, was 35418, what would be the average annual rate of increase?
- Q Evaluate the expression(- 4 - 4i)/4i and write the result in the form a + bi.
- Q For positive acute angles A and B, it is known that sin A =35/37 and tan B =7/24. Find the value of sin(A- B) in simplest form.
- Q On December 5th in Champlain, MO the probability of snow is 28%, the probability that the maximum temperature for the day will be above zero is 80%, and the probability...
- Q For the function f(x) = x + x +4, find and simplify the difference quotient: {f(x+h)-f(x)/(h)}
- Q What is the component form of the vector with an initial point of (-2, 5) and a terminal point of (7,-3)?A.(9,8)B.(9,-8)C.(-9, -8)D.(-9, 8)
- Q Bill has $750 in a regular savings account earning 6(1/4)% annual interest that is compounded continuously. How much will be in the account at the end of 10 years?
- Q A bag of marbles is comprised of 58 red marbles and 79 blue marbles, and the marbles are evenly distributed in the bag.Suppose you take a scoop of 58 marbles...
- Q The profit from the production and sale of music players is given by the function P(x) = 400x-0.2x - 5000, where x is the number of units produced and sold.a....
- Q Truck mileage. The equation ? = 45.683-0.005211x gives the approximate gas mileage (in miles per gallon) for a light truck that weighs x pounds. The equation is valid for 4000...
- Q 1. True of False2. Explain why?Let u, v and w be nonzero vectors in R. If u and v are each orthogonal to w, then u and v must be...
- Q Carson invested $100 in a 8-year CD that earns 13% annual interest that is compounded continuously. How much will the CD be worth at the end of the 8-year term?...
- Q 90 decibels is twice as loud as 80 decibels. Rock concerts are 110-120 decibels.Regular conversation is 60 decibels. How much louder is the 110 db concert than a normal 60...
- Q Include Small individual graphs of five different curves that include a super (large) positive k value; a positive k value close to O; the k value equal to 0; a...
- Q 1. To concatenate two strings without using any built-in function 2. Check whether two strings are equal or not without using any predefined functions such as strcmp()
- Q Solve the following equation in the complex number system Express solutions in both polar and rectangular formx-256i=0A. 4(cos 22.5 + i sin 22.5), 4(cos 112.5 + i sin 112), 4(cos...
- Q Rosa bought a new car with a $23,529.52 sticker price. If the basic price was $18,450 and the destination charge was $685, what was the price of the options?
- Q For any number n>1, is|(2-4i)^n|A. greater than 1?B. less than 1?C. equal to 1?
- Q Find the midpoint between -7+4i and 3-2i
- Q Perform the operation and get your answer in the form a + bi.(3+2i) (2-4i)14+ [?]i
- Q Find all the complex third roots of -3-3?3i, express argument in radians and write roots in exponential form.
- Q Write the standard form equation of any vertically oriented ellipse with foci at (1,+-?5). For your ellipse, determine the length of the major and minor axes.
- Q Given the function values f(2)=8 and g(2)=2, determine (fg)(2).OA)2fgOB)16OC)32OD)8
- Q To help pay for culinary school, Chris borrowed money from a bank.He took out a personal, amortized loan for $57,500, at an interest rate of 5.9%, with monthly payments for...
- Q Expand log?(2x/y?z?) completely using properties of the logarithm.
- Q The function f (x) = 4? is dilated to become g (x)=1/3.4?. What is the specific effect on f (x)?
- Q In a marathon, Eileen ran four times as many miles as Alan and Susan ran two miles less than Alan. Together they ran a total of 28 miles. How many...
- Q Consider the functions defined by f(x)=6x-2, g(x)=x-4x+1, k(x) = |x-2g(0)k(2)g(2)
- Q Evaluate the expression, or state that the expression is not a real number.?-1Select the correct choice below and, if necessary, fill in the answer box to complete your choice.A. The...
- Q Let P = (1/2,1/2) and Q = (-1/3,0). Write a formula for a hyperbolic isometry ? that sends P to 0 and Q to the positive real axis.
- Q Is the function f(x) = 3 one-to-one? ? Yes ? No
- Q Find the parametric equations of a unit circle with center (0,-4) where you start at point (-1,-4) at t = 0 and you travel clockwise with a period of 2?.
- Q Given this table about Tuberculosis (TB), which is a disease that affects the lungs. Most Americans are tested for TB when they are young, and when they will be working...
- Q Which of the following statements is true?(A) sin z / z2 has a removable singularity at z = 0.(B) The function 1/zsinz2 has a pole of order 3 at z...
- Q 1. Below is a graph of the height of a passenger car on a Ferris wheel.a. How does this function differ from other types of functions you have studied such...
- Q Sketch a graph of the function f(x) = 5 sin (1/2 x )
- Q Solve for the exact solutions in the interval [0, 2?). If it has no solutions, respond with DNE.8 sec (x/2) = 4
- Q For y = 2 sin 5x,its amplitude isits period is
- Q Let :G -> H be an isomorphism, show that1.-: H->G is an isomorphism2. if K? H, then -(K) ? G
- Q P(Z)= Z? +(2-7i) Z?+ (-14-14i) z + (-28+8i)Z+16iplease factorise the above equation.
- Q Expand log? (1/xy3?) completely. Keep variables in the order that given in the original term. I.e. For log(), present the answer as log a-log 3-log b, but not log 3-log...
- Q A hockey coach wanted to know the relationship between the number of shots his team takes during a game and thenumber of goals they score..Shots 11 20 24 28 27...
- Q Evaluate J by means of Simpson's rule with n = 2m = 20 and h=0.05: J = ??e^(-x)dxNote that this...
- Q Let f(x) and g(r) be defined as follows:f: (4,0)? R. f(x) = ln(x-4)9: R R. g(x)=x-5Calculate the following compositions and determine the range and domain of each of them.Please note...
- Q Starting at point A, a ship sails 20 miles on a bearing of 200, then turns and sails 40 miles on a bearing of 300. Find the distance of the...
- Q Use the graph below to answer the following questions. Be careful with the input and output variables. Not everything is x or y! What is the minimal degree that the...
- Q Find the equation for the line that passes through the points (8, -5) and (-9, -1). Give answer in point-slope form. You do not need to simplify.________
- Q Complete the following table. Remember that 180 = ? radians.Angle (degrees) 30? 36 45Angle (radians) ?/6Angle...
- Q The reference angle of 215 degrees is ______ degrees.The reference angle of 320 degrees is _____ degrees.The reference angle of -132 degrees is _____ degrees.
- Q American General offers a 10-year annuity with a guaranteed rate of 4.95% compounded annually. How much should you pay for one of these annuities if you want to receive payments...
- Q You need to build a trough for your farm that is in the shape of a trapezoidal prism. It needs to hold 100 liters of water. What are its dimensions...
- Q Without using a calculator, compute the sine, cosine, and tangent of 5?/3 by using the reference angle.(Type sqrt(2) for ?2 and sqrt(3) for ?3.)What is the reference angle?In what quadrant...
- Q The reference angle of433 isThe reference angle of -257 isThe reference angle of 208 is
- Q For f(x) = a*sin(bx), use: Amplitude = |a|; Period T =2.?/|b| ;Section Width =T/4Without graphing the function y = - 7 sin(9x), determine its amplitude, period, and section width (distance...
- Q Factor the following polynomial using the formula for the sum of two cubes.z+343Select the correct choice below and, if necessary, fill in the answer box to complete your choice.A. z...
- Q Kevin and Randy Muise have a jar containing 67 coins, all of which are either quarters or nickels. The total value of the coins in the jar is $12.95. How...
- Q Write in radical form. Do not simplify.14x/? = ________
- Q Asume that the binary operation ab=a +6-540 is defined on 7 Which statement isNOT correct? is assosiativeis the identity element of (Z,*)Every element of Z has an inverse(25) dosed
- Q The average weight of a male child's brain is 970 grams at age 1 and 1270 grams at age 3.(a) Assuming that the relationship between brain weight y grams and...
- Q Find z, z?, and z1//z2if z? = 6( cos 100+ i sin 100) and z? = 10 (cos 280+ i sin 280"). Write your answers in standard polar form with...
- Q Identify the equation of the surface. z=x/4-y/9 x/4+y/9+z/4=1 z=x/4+y/9 x/4+y/9-z/4=1 x/4+y/9=1
- Q A new car is purchased for $47, 000 and over time its value depreciates by one half every 3.5 years. Write a function showing the value of the car after...
- Q If a function has a horizontal asymptote, it cannot have a vertical asymptote.a) Falseb) True
- Q Complete the table of values for the following function and then plot the points tograph the function by hand.f(x)=1/2x
- Q The function f(x) = x +1/x-4 has;a) A Vertical Asymptoteb) A Horizontal Asymptotec) An Oblique Asymptoted) Both a and be) Both a and cf) None of the above
- Q Sketch graphs of each of the following:(a) the polar equation r = 1 + 2sin(3?)(b) the curve determined by the parametric equations { x = t/ + 1 } ...
- Q Write in the form a + bi, where a, b ? R.{(2 - i)(4 - 3i)}/(3 + 2i)
- Q Using Euler's equation {e^i(x+y) = e^(ix) * e^(iy)prove (1) sin x + sin y = 2sin{(x + y)/2} * cos{(x - y)/2}(2) sin x cos y = {sin(x + y)...
- Q Find all of the solutions of 2 sin(x) - 3 sin(x) - 2 = 0 between - ? and ?a) x = ?/6 and 5?/6b) x = ?/6 and -5?/6c)...
- Q 8500 dollars is placed in an account with an annual nearest year, how long will it take for the account interest rate of 7%. To the 59700 value to reach...
- Q For the curve f(x) = -2(3)? +3, the range of the function is:a) R: {yly <3, y ? R}b) R: {yly> 3, y ? R}c) R: {yly ? 3, y...
- Q Which quadrant would an angle of 14?/3 rads have its terminal arm, if rotated from standard position?a) Quadrant IIIb) Quadrant IVc) Quadrant IId) Quadrant I
- Q Multiply. (7 +3i)(-4-3i) = (Simplify your answer. Type your answer in the form a + bi.)
- Q 1. Factor the polynomial f(x)=x^4 +2x^3-2x^2 -6x -3 into factors of the form(x-c).(b). Find any x-intercepts of the function y =f(x).(c). Use a graphing calculator to sketch f(x) =x 4...
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