Algebra question and answers for July 03, 2023
- Q Use Pascal's triangle to expand the binomial. (m+n)?(m+n)? =
- Q Shawn has a bank account with $3,069. He decides to invest the money at 3.25% interest, compounded annually. How much will the investment be worth after 5 years?Round to the...
- Q Find a normal vector to the plane 5(x - z) = 6(x + y)+6j + 5k
- Q Let C be the curve that connects (1,6) to (2,8) to (6,4) to (5,2) to (1,6) using straight lines
- Q Find the inverse of g (x) = 1/2(x) + 3/2 .g- (x) =[?]*x-{?]
- Q By definition, (f o g)(x) = So if g(1)=3 and f(3)=17, then (f o g)(1)= 4. Find f+g, fg, and f/g and their domains. f(x)=?9-x2. g(x)=?x^2-4
- Q Plot function g on the graph.g(x) = -7 <= ?-2 -2<= <3 -2, 3 <= ?8
- Q You play a game that involves drawing two numbers from a hat. There are 25 pieces of paper numbered from 1 to 25 in the hat. Each number is replaced...
- Q Find the solution of the exponential equation.100/1 + e^-Xx = -In(91)x = In(91) - In(9)x = In(9) - In(100)x = In(9) - In(91)
- Q Given the geometric sequence: 17,170/3 , 1700/169, ..........Find an explicit formula for a?:a?=Find a?:
- Q For the given equation, find the corresponding values of y for the given x-value. See Example 7.? 10.78 - 2.63xx=20? =TIP- Enter your answer as an integer or decimal number....
- Q Find the quotient and remainder using long division for:2x ? 14x + 71 ? 28/2x + 5a)The quotient is____b)The remainder is___
- Q For the function f(x) = -(3/4)x+1, which of the following values of x would generate an integer output?Select all that apply.Since the denominator of the slope is 4, any multiple...
- Q Events A and B are dependent. Let P(BA)=0.6 and P(A and B) 0.15. Find P(A). Write your answer as a decimal rounded to the nearest hundredth.
- Q If y varies inversely as x, find the constant of variation k and the inverse variation equation for the situation. y=0.1 when x = 0.1Find the constant of variation k.Find...
- Q The cost per person to rent a chartered bus varies inversely to the number of people who ride the bus. If 40 people pay $9.50 each to ride the chartered...
- Q Which of the following represents the domain and range of the function?f(x) = 2/(x-5) + 1A) Domain: All Reals Range: All RealsB) Domain: All Reals except x ? -5...
- Q You randomly select three cards from a standard deck of 52 playing cards.a. What is the probability that all three cards are face cards when you replace each card before...
- Q Two functions are given below.,f(x) = loge (x)g(x) = e^xWhich of the following does NOT describe the relationship of f(x) and g(x)?A) The functions are inverses of each other.B) The...
- Q Name 2 of the properties that must be true of a normal distribution.
- Q Solve the equations by finding inverse of matrix using MATLABx-y + 2z=3x + 2y + 32 =53x - 4y - 5z = -13Use MATLAB to find the values of unknowns...
- Q A quadrilateral with all sides congruent and all angles required to be equal to 90 is called a: A. parallelogram B. trapezoid C. rhombus D. square
- Q Select the correct answer.Mark, Anthony and Derek are going on a road trip and will take turns driving the car. They need to decide who will drive first. Which method...
- Q When dealt 5 random cards from a standard deck of playing cards, what is the probability that you are dealt two jacks and 3 sevens?
- Q The table gives a country's gross domestic product (GDP) (in trillions of dollars) for selected years from 2005 and projected to 2070. Complete parts (a) through (c) below.a. Find the...
- Q How many bit strings of length 6 either begin with 10 or end with 110 ?
- Q Select the correct answer.Nate downloaded a free virus detection program, which reported that his computer is infected with a virus.The editors of a tech magazine reviewed the effectiveness of the...
- Q Which of the following functions has a factor of x + 1?A). f(x) = x + 8x + 5x - 14B.)f(x) = x + 8x + 5x - 13C.)f(x) =...
- Q Out of 55 teenagers enrolled in dance classes, 30 teenagers take either hip hop or jazz classes. There are 13 teenagers who take hip hop classes and 24 teenagers who...
- Q a) The average height of sunflowers in a field is 64 in. with a standard deviation of 3.5 in. On a piece of paper, draw a normal curve for the...
- Q What is the 20th term of the expansion (c- d)^35?
- Q In a class of 50 students, 29 are Democrats, 11 are business majors, and 5 of the business majors are Democrats. If one student is randomly selected from the class,...
- Q Of 162 students honored at an academic awards banquet, 48 won awards for mathematics and 78 won awards for English. There are 14 students who won awards for both mathematics...
- Q Determine a series of transformations that would map polygon ABCD onto polygon A'B'C'D'?
- Q How many different possible outcomes are there if you flip eight coins?
- Q A rock is dropped from a bridge over a river.1. How many feet will it have dropped in 4 seconds?2. How far would it be from the ground, 5 seconds...
- Q In the game of keno, if eight spots are marked the player wins if five or more of their spots are selected. Complete the chart below:Outcome8 winning spots7 winning spots6...
- Q Arizona's "Cash 4" is a 4/26 lottery. It differs from many other state lotteries in that its payoffs are set. If you match all four of the winning numbers, you...
- Q Show that if a, b, c ? Z with c> 0 such that a = b (mod c), then (a, c) = (b, c).
- Q Given the equation 4yu?? + 2(1-y)u?? - u??- 2y(2u? - u?)/(1+ y) = 0. Find the solution u(x, y) which satisfies u(x,0) = g(x) and u?(x,0) = f(x), where f,...
- Q Determine whether each is dependent or not, based on the rules for independence.1. P (A) = 1/5, P(B) = 3/10, P(A and B) = 3/1002. P (A) = 13/20, P(B)...
- Q Let xn = (-1)?(3 - 1). Find lim xn and lim xn.
- Q Solve each equation. log? (x-15)=log? 2xFind e
- Q Swatch is trying to price their new line of watches. The company will be using a distributor and retailer to get their watches to ultimate consumers. The retail price for...
- Q Consider a mobile moving along the followingpath which starts at the point (0, 0). What arethe coordinates of the point of arrival of themobile
- Q Write down the system of linear equations to find the probability that the rat finds the water before dieting. stochastic process.
- Q Write the expression log(x ?(y) as a sum of logarithms with no exponents or radicals.
- Q From the top of a 196-ft lighthouse, the angle of depression to a ship in the ocean is 10. How far is theship from the base of the lighthouse? Give...
- Q Given that f(x) = 3x + 1 and g(x)=x-2x-5, find (gof)(5)
- Q Consider the following homogeneous system of equations,x-y+u=0y + 2z-v=0x+y+u+2v = 0a) Find the basic solutions of the homogeneous system.b) Determine the value of the parameters for which ...
- Q Suppose is an angle such that cos(?)=-1/7A)If 2? <?< 3?,then cos(?/2)=__and sin(?/2)=__
- Q If k = -3, what is the value of k +(2k-10)?A )1B)-14C) -7D )-19
- Q Calculate the distance between (5, -7) and (2,4). Provide your answer below:
- Q Determine whether or not the three points form a right triangle. Use the Pythagorean theorem to justify your answer.(1,-2), (2, 3), and (-3,4)Select the correct answer below:(A) Right triangle(B) Not...
- Q Calculate the distance between (-3, 1) and (7,8). Provide your answer below:
- Q Find the derivative of: -7 sin (8x?).Use the chain rule to find the derivative of 3e^(-4x?-2x?)Find the derivative of: 4e^(-5sin(-8x?))
- Q Find the accumulated present value of an investment over a 9 year period if there is a continuous money flow of $12,000 per year and the interest rate is 1.7%...
- Q Solve the initial value problem.y"'-4y"-4y' +16y=0; y(0) = 5, y'(0)=-6, y''(0)=20The solution is y(t) = ____
- Q An island is located 31 miles N3711'W of a city. A freighter in distress radios its position as N1533'E of the island and N1226'W of the city. How far is...
- Q Find the present value of a continuous income stream F(t)=40+5t, where t is in years and F is in thousands of dollars per year, for 10 years, if money can...
- Q Write down the solutions to the following linear difference equations.
- Q Find the exact value.sin-(1-sin-- (1/2))-(2?/3) ?(2?/3)3?/2
- Q Tickets for a recent concert cost $20 for adults and $12 for kids. Total attendance for the concert was 840 and total ticket sales were $12,496. How many of each...
- Q Use the chain rule to find the derivative of3e^(-4x? -2x?)
- Q Prove that if 5 points are chosen from the interior of an equilateral triangle whose one side is 2 units, then there are at least two points which are at...
- Q The population of a small town of 39,000 people is expected to grow exponentially at a rate of 2.5% per year. Estimate the time it will take for the population...
- Q A common equation used in business is a demand equation. It expresses the relationship between the unit price of some commodity and the quantity demanded. In the equation, p represents...
- Q Events A and B are mutually exclusive. Suppose event A occurs with probability 0.27 and event B occurs with probability 0.03.Compute the following.(a) Compute the probability that A occurs but...
- Q Find the sum of the series n=1?? (7n +32).3? (n+2).4?
- Q The rectangular coordinates of a point are given. Find the polar coordinates of each point in (r,?) form.A. (-4,4?3)Use the appropriate conversion rules to write the coordinates of this point...
- Q Kara invested her $54, 000 bonus in an account earning 6.7% annual interest that is compounded continuously. How long will it take the account to triple in value? Round your...
- Q Find the focus of the parabola.y = -16x
- Q Find the mean of the given data. 5.6, 5.2, 4.6, 4.9, 5.7, 6.4
- Q In your own words, explain the importance of a time signature and what each number means in a time signature. Example: The time signature is important because The top number...
- Q In Exercises 11-12, show that the matrices are orthogonal with respect to the standard inner product on M??.11. U = 2 1 , V = -3 ...
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