Algebra question and answers for December 12, 2023
- Q 1. a = arctan (1/2) (use a calculator to find the answer for arctan(1/2), make sure the mode in your calculator is Radian),2. b = arcsin (1/2), and3. c =...
- Q Determine where two asymptotes occur for the function.y = tan 4?
- Q Write a cosine function for each description. Assume that a > 0.a. amplitude 2, period ?b. amplitude ?, period 2
- Q Graph the line with slope 3/4 passing through the point (3, 3).
- Q Find the intercepts of the graph of 8x-3y = -24Do not enter any spaces in the answers.The x-intercept is the pointThe y-intercept is the point
- Q Write the equation for the linear function whose graph contains the points (1,-4) and (3,6). Write the answer in the form f(x) = mx+b.
- Q Which function's graph is the graph of f(x)=x shifted down 20 units?a) g(x)=(x-20)b) g(x) = (x+20)c) g(x) = x + 20d) g(x)= x-20
- Q Write the linear equation whose graph satisfies the given conditions.Perpendicular to the graph of 9y = 8 and passes through (-1, 12).Enter the answer in the form y = mx...
- Q The graph of g(x) = (x - 10) is the graph of f(x) = x3 Shifteda) up 10 units.b) left 10 units.c) right 10 units.d) down 10 units.
- Q The graph of g(x)=-x4 is the graph of f(x)=x4 reflected over which axis?a) the y-axisb) the x-axis
- Q Which function's graph is the graph of f(x) = 1 shifted left 30 units and down 40 units?a) g(z) = (x+30) + 40b) g(z) = (x-30) + 40c g(z) =...
- Q Solve the rational equation(1/x-3)+(5/x-2)=1/x^2-5x+6
- Q Write the domain of the function in Interval notation. g(x)= x+2/ x-3
- Q Write the domain of the function in interval notation.h(x) = ?x+8
- Q f(x) = 4x - 10Find f(a-3). Simplify the result.
- Q Which of the following represents the nth term of the arithmetic sequence below?Note that 65 is considered the 1st term.Select one:65, 65.5, 66, 66.5, ...65-0.5 (n ? 1)65+0.5 (n-1)65+0.5n 65-0.5n
- Q Assume that the situation can be expressed as a linear cost function. Find the cost function.Fixed cost is $100; 40 items cost $2,100 to produce.The linear cost function is C(x)=
- Q Evaluate based on drawing a card from a standard deck of cards. Write your answer as a fraction in simplest form (a/b). P(club)
- Q You must answer exactly 12 out of 15 questions on a test. How many different ways can you select the questions to answer?
- Q explain my computation (why 3+3+3+1.5?). how does this compare to the traditional computation of 35% of 30= 0.35.30-10.5?
- Q Write a sentence that illustrates the use of 7/8 in each of the following ways.a. As a division problemb. As part of a wholec. As a ratio
- Q Suppose y varies inversely with x. and y = 5 when x = 3. What is the inverse variation equation that relates x and y ?
- Q Use identities to find the indicated value. Where necessary, rationalize denominators.sin t = -27, cos t = -357 Find csc t.
- Q What function is obtained by shifting the graph of f(x) = 1/x right 4 units and up 2 units?Select an answer and submit. For keyboard navigation, use the up/down arrow...
- Q Find all solutions of the equation in the interval [0, 2x).2 sin 6x cos2x-2 cos 6x sin 2x = ?2Write your answer in radians in terms of .If there is...
- Q The function f is an even function whose graph contains the points (-2,5), (-1,3), (0, -2) The ordered pair (1, y) is also onthe graph of y = f(x) for...
- Q Select all of the statements below that are true.There is a set of 6 vectors in R8 that is linearly independent.There is a set of 4 vectors in R7 that...
- Q There are eight swimmers in a competition where the top three swimmers advance. In how many ways can three swimmers advance?
- Q The reference number of a is the distance from a to the nearest whole multiple of ? . Now that youknow that, compute the exact reference numbers of19?/6, 17?/6
- Q C and D are mutually exclusive events. Find P(C or D).P(C) = 3/7, P(D) = 4/7P(C or D) =(Round to three decimal places as needed.)
- Q When simplifying 2(8-7[25-(2+3)2]], we should be simplifying the inner-most parentheses first: (2 + 3) = 5.A True.B False. You need to simplify exponents first: 329.C) False. We should be subtracting...
- Q Solve the equation. (Enter your answers as a comma- separated list. If there is no solution, enter NO SOLUTION.)e x In 4 = 0.0625
- Q A jar contains 30 red marbles, 50 blue marbles, and 20 white marbles. You pick one marble from the jar at random.Find the theoretical probability. Write the answer as a...
- Q About 30% of the U.S. population is under 20 years old. About 17% of the population is over 60. What is the probability that a person chosen at random is...
- Q Danielle was charged interest of $64 for a loan amount of $2,800 that she borrowed for 120 days. What annual rate of simple interest was charged?
- Q Find the solution of the quadratic equation x2-3 = 0 by using square roots method.
- Q Solve the following system by of three equations. Write your solution as an ordered triple.2x - 3y = -12y = 2-4x + 2y-3z = 1
- Q Find the equations of the spheres passing through the circle x + y + z - 6x - 2z + 5 = 0, y = 0 and touching the plane...
- Q The annual interest rate on a credit card is 25% and interest is calculated by the average daily balance method of the billing cycle. The unpaid balance at the start...
- Q Find the slope of a line perpendicular to the following line.f(x) = 5x/9+2Select the correct choice below and, if necessary, fill in the answer box to complete your choice.A.The slope...
- Q Find the slope of a line parallel to the following line.f(x) = -4x/3-8Select the correct choice below and, if necessary, fill in the answer box to complete your choice.A.The slope...
- Q In 2005, 11.8 out of every 50 employees at a company were women. If there are 46,392 total company employees, estimate the number of women.
- Q Find the domain of the rational function. C(x) = X-2/ x-1
- Q Solve the following equation.z/3 - z/4= 48
- Q Suppose that 5 customers arrive, and each orders a different appetizer to share from a choice of 12 appetizers. In how many ways can this be done?
- Q Prove that with high probability, the binomial graph G(2n,1/2) has a perfect matching.
- Q How does an earthquake of magnitude 7.9 compare in intensity with an earthquake of magnitude of 3.4 on the Richter scale?
- Q Find the theoretical probability of the event when rolling a standard number cube.P(1)
- Q v=-0.0098t + c In Rv is the velocity of a rocket, t is the firing time, c is velocity of the exhaust, and R is the ratio of the mass...
- Q Let f(x,y) = k(x + y)IA(x,y) where A is the region bounded by y = |x| and y = 2. Find k so that f is a genuine joint pdf.
- Q The Fiore's wish to create a sinking fund to save for their children's education. a.) They estimate that they will need to save about $150,000 in 18 years. If the...
- Q Find the reference angle of 15pi/8Enter your answer in radians.
- Q Find the x-intercept(s) algebraically.f(x) = 3x + 4x-4(Type an exact answer, using radicals needed. Use integers or fractions for any numbers in the expression. Type each solution only once. Use...
- Q Given the sequence bn, defined recursively below, find b5.b? = 2b? = 4bn= -2bn-1-3bn-2
- Q Which of the following statements describes the x-terms in the expression 8x8/x27A. The larger exponent is on the x-term in the numerator.B. The larger exponent is on the x-term in...
- Q How many real and how many imaginary roots does the polynomial x + 8x + 15 have?Select one:2 real, 0 imaginary1 real, 1 imaginary O real, 2 imaginary3 real, 0...
- Q Radium-226 has a half-life of 1660 years. How many years does it take a radium sample to decay to 55% of the original amount? Round your answer to the nearest...
- Q Graph 2 complete cycles of the function below.y = 4 sin(2x)
- Q Find the inverse function, f-1(x) of the followingf(x)=(3x-7)/(4x +3)
- Q Describe in words the sequence of transformations that will take the graph of y = x to the graph ofy = -2(x+3) - 8?
- Q The point at which a company's profits equal zero is called the company's break-even point. Let R represent a company's revenue, let C represent the corR(x) = 100xC(x) = 65.5x...
- Q Records over the past year show that 1 out of 355 loans made by Mammon Bank have defaulted. Find the probability that 5 or more out of 320 loans will...
- Q Researchers want to determine which cold remedy is most effective at controlling cold symptoms. They are considering three methods of gathering data: Method A: Researchers give cold remedy A or...
- Q Karen uses a pedometer to track the number of steps she takes. On the average day, Karen takes about 2,075 steps, but this can vary by as many as 410...
- Q The period of the sine and cosine curves is 360 degrees and the period of the tangent curve is 180 degrees.Select one:TrueFalse
- Q Three of the vertices of quadrilateral ABCD are A(2, 8), B(0, 5), and C(2, 2).a. Suppose that ABCD is a rhombus. Find the coordinates of vertex D. Explain why there...
- Q The sum of the angles 4142?36 and 20 18'40" is 6160?76".Select one:O TrueO False
- Q The ground velocity of a jet is 410 km/h [S 30 E]. A 75 km/h wind is blowing from [N20E]. Determine the air velocity of the jet. Include a proper...
- Q Find the distance between the given points on a number line.- 4,0The distance between - 4 and 0 on the number line is
- Q Grab the point F?, which represents a focus of an ellipse, and move the point F, to (-2.2) Grab the point F?, which represents the other focus of an ellipse,...
- Q Rewrite cos 23 in terms of its cofunctioncos 23?
- Q Shawn purchases a retirement annuity that will pay him $1,000 at the end of every six months for the first nine years and $300 at the end of every month...
- Q Write the first four terms of the sequence.a =(-1)n(-9n)a? =a? =a3 = a4=
- Q Check whether the sequence is arithmetic. If so, find the common difference d.2, 11, 13, 22, 24...Select the correct choice below and, if necessary, fill in the answer box within...
- Q Find the indicated sum.8+22+36 +50+...+(14n-6)
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