Algebra question and answers for December 29, 2023
- Q Find a general term an for the sequence whose first four terms are given.1/4,1/16,1/64,1/256
- Q An auditorium has 53 seats in the first row, 59 seats in the second row, 65 seats in the third row, and so on. Find the general term of this...
- Q Solve the equation: ?m + 3 = ?(m + 12)Answer: m =Enter your answer as an integer or as a reduced fraction in the form A/B
- Q Write an exponential function in the form y = ab^x that goes through points (0, 16) and (7,2048).
- Q The first row of a conference hall has 11 chairs and 2 additional chairs in each subsequent row. How many chairs are in the 8th row? How many chairs in...
- Q Find the sum of the terms of the infinite geometric sequence.18, 6, 2, ....The sum of the terms of the infinite geometric sequence is.
- Q Write the following in polar form (angles in degrees).12.61 miles, 30 north of east.1.66 miles, 40 west of south.5.53 miles, in the direction opposite of 15 south of east.
- Q A town has a population of 13000 and grows at 5% every year. What will be the population after 11 years, to the nearest whole number?
- Q If C = s - 5 and D = s - 8, find an expression that equals C + 2D in standard form.
- Q A building contractor is to dig a foundation 54 feet long, 24 feet wide, and 3 feet deep. The contractor pays $25 per load for trucks to remove the dirt....
- Q Let P? denote the real vector space of polynomials in x with real coefficients and degree at most 2with the basis B = {x+7x, 2+x, x}Set p(x) = 3x and...
- Q A pendulum swings a length of 22 inches on its first swing. Each successive swing is 9/10 of the preceding swing. Find the length of the fifth swing and the...
- Q trivial solution then (x, y, z) =(a) (0, 1, 2)(b) (0, 0, 2)(c) (0,0,0)(d) (K,K,K)
- Q The accompanying table shows the value of a car over time that was purchased for 19000 dollars, where x is years and y is the value of the car in...
- Q A(n) sequence is a function whose domain is {1, 2, 3, ..., n}, where n is some natural number.Choose the correct answer below.A. generalB. finiteC. infinite
- Q Use the Golden Search method to maximize the following unimodal function,(X) = ?(x ? 3), 2? x ? 4with ?= 0.05.
- Q Consider the following linear program.Does the linear program involve infeasibility, unbounded, and/or alternative optimal solutions? (Select all that apply.)infeasibilityunboundedalternative optimal solutionsExplain. (Select all that apply.)The regions defined by the constraints...
- Q Find the equation of the line that is parallel to 5x-2y-12=0 and passes through the point (-14,-4)Find the equation of the line that is perpendicular to 4x-7y-54= 0 and passes...
- Q Use the binomial formula to expand the binomial.(x + 4y)?(x+4y)? =
- Q Find the seventh term of the arithmetic sequence whose first term is 14 and whose common difference is 4.
- Q For what value of a is the following true? log(x + 8) = log x + log 8.
- Q Answer the questions about the following polynomial.-x-7The expression represents a ________ polynomial with _________ term . The constant term is _________ , the leading term is _________,and the leading coefficient...
- Q Observers at points A and B, 60 km apart, sight an airplane at angles of elevation of 50 and 72", respectively. Use this information to determine how far the plane...
- Q A social researcher wants to learn whether or not there is a link between attendance and grades. She gathers data from 15 school districts.
- Q Answer the questions about the following polynomial.-(X^2/8) -1 The expression represents a_______ polynomial with______ terms. The constant term is_______ , the leading term is________ ,and the leading coefficient is ______
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