Algebra question and answers for December 16, 2023
- Q The radius of the wheel on a car is 32 inches. If the wheel is revolving at 454 revolutions per minute, what is the linear speed of the car in...
- Q Prove that if F is a field, K is a finite extension of F and E is a finite extension of K, [E: K[K: F] = [E: F].
- Q In a classroom of children, do the following assignments give functions? Explain why or why not. To each child, assign his or her first name. From a list of the...
- Q Write the sum as a rational number0.45 +0.0045 + 0.000045 +...
- Q Let t(n) be the function that assigns the nth term of a sequence to n the number of the term.a. If t(n)=4n - 3, determine which of the following are...
- Q Consider the exponential function g(x)= 36(1.07)^7xa. As an increases throughout the function's domain, g(z) sometimes increases and sometimes decreases.b. Whenever a increases by 1, the value of g(x) is multiplied...
- Q Consider the sequence -11,-5, 1,7,...(a) What is the general term of this sequence?(b) What is the 100th term in this sequence?(c) What is the sum of the first 100 terms...
- Q For the following function defined that is one-to-one, write an equation for the inverse function in the form y=f(x), and then graph fanone-to-one, say so.f(x)=??4+x.x2-4The domain of fis(Type your answer...
- Q An initial sample of 428 g of a radioactive substance decays according to the function A(t) = 428e-0.038twhere t is given in years.(a) How many grams of the substance will...
- Q Consider the differential equationx2y"-7xy' + 15y = 0;x, x5, (0, ?).Verify that the given functions form a fundamental set of solutions of the differential equation onForm the general solution.
- Q A number is 12 more than another number. Twice the sum of the two numbers is 20. Find the two numbers.
- Q Let b be a positive constant.Select all of the following statements that apply to the exponential function f(x) = b.Decreases when 0 < b < 1 and increases when b...
- Q Find the centroid of the region boundedby the curves.Y = Sin xY=0O?x?4
- Q A speed trap on the highway set by the O.P.P. shows that the mean speed of cars is105 km/h with a standard deviation of 7 km/h. The posted speed limit...
- Q How do I Find the center and the radius ofthe circle represented by the equation 2x 2+ 4x + 2y 2 - y = 3
- Q AlgebraJeremy wants to set up a fund for his son'seducation such that he could withdraw$1,596.00 at the beginning of every 3months for the next 4 years. If the fund canearn...
- Q Consider the function f(x) = x + b, where b is aconstant, and find the following.a. f(f(0))b. f(f(2))C. All inputs x for which the final output is x, that is,f(f(x))...
- Q AlgebraAssume that 11% of people are left-handed. If we select 5people at random, find the probability of each outcomedescribed below.a. The first lefty is the fifth person chosen.b. There are...
- Q Which of the following is true?Enter a, b, c, d, or e.a. Irrationals = {|p, qe all INT}b. 2.59 is irrationalc. 1.2345678... is rationald. {(Natural Numbers) n (Whole Numbers)}{Natural Numbers}=e....
- Q Find the area of a parallelogram boundedby the y-axis, the linex = 2,the linef(x) = 6 + 2x,and the line parallel to f(x) passing through(4, 12).square units
- Q ifsin(x) + cos(x) = ?(2)calculate the value ofH = tan (x) + cot (x)
- Q 1-1 0-1--1 5-20-2 4find an interval of length 1 that contains A2, the second eigenvalue of A.A=
- Q Which of the following terms describes the shape of the following data set?15, 15, 16, 16, 16, 16, 17, 17, 18, 18, 20, 21, 22A SymmetricDUniformBimodalSkewed right
- Q Find an for the arithmetic sequence.ag = 10, a10 = 22an=n-C
- Q Discuss the continuity of function f(x,y)=(y - x/y + x)2 Be sure to state any type of discontinuity.
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