Given the following functions, find each of the values: f(x) = x? - 25 g(x) = x+5 (f + g)(3) = (f – 9)(4) = (f 9)( – 3) = %3D

Q: Find an equation for the parabola that has its vertex at the origin and has its focus at the point:…

A: Given,        An equation for the parabola that has its vertex at the origin and has       it's…

Q: [1 27 3. Let A = 1 3 Let the vector space V consist of all 2×2 matrices а X : с d b such that AX =…

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Q: After 10 years, you have made 1/3 of the payments. Why isn't 1/3 of the loan balance paid off?

A: We can solve it mathematically and show that after 10 years only a partial principal amount is paid…

Q: Q2: Find the general solution of the differential equation dy dx || x - 2y 3y - 4x

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Q: Solve each problem. 1) Every foot is 12 inches. This can be expressed using the equation y x 12 = Z,…

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Q: Question 3 (1 point) Suppose a, 3, and 7 are vectors such that = (3, 1, -5) and 7xa= (7, -7, 1). ,…

A: Find your answer below

Q: Please find the question attached.

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Q: (a) A town has a population of 5000 persons, but is expected to grow by 2% every yea (1) What would…

A: Given, Initial population of a town is 5000 persons. It is given that it increases at a rate of 2%…

Q: Personnel selection. Suppose that 8 female and 8 male applicants have been successfully screened for…

A: Solution is uploaded below.

Q: 3. A crane is being created by four steel members (bold) and a cable, as shown in the diagram below.…

A: cosine law c2 = a2 + b2 - 2abcosAsine law asinA = bsinB = csinC

Q: 0 0<x<1 1 1<x<2 2 2<x<3 3 3<x<4 f(x) -1 Negative 0 Positive 2 Positive 0 Negative f'(x) 4 Positive 0…

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Q: Cases and Complements 1. A group of four animals will be selected for adoption from a group of 10…

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Q: O 8: Evaluate limits of functions from their graphs and/or equations. Find lim f(x), lim f(x), lim…

A: Given, Graph  of the function:

Q: D. 48. Find the volume of the solid obtained by rotating the region bounded by y = 3Vx and x = 4…

A: First, we sketch the region using a graphing calculator. The shaded region will rotate about the…

Q: For the following conjecture, state the null and alternative hypotheses. The average age of…

A: Given information- We have given that the average age of first-year medical school students has…

Q: find the probability density of W=Y-X

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Q: 4 s2+4s+20) (b) s2+35)

A: The solution is given as

Q: Given u= i -4 j and v = -4 i -4 j, calculate u

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Q: Using the table provided in class, indicate the critical value of "f" for a 95% confidence interval…

A: Given that,The statistical table is given.To find the critical value of t-distribution.

Q: Find the steady State vector for the transition matric 享

A: Note: Since the entries in a transition matrix are probability values, for the calculation we are…

Q: Hello, thank you for the help. Can you please provide answers clearly?

A: Given,           ∫dz2z+6

Q: 45. A conservation organization releases 20 wolves into a preserve. After 5 years, there are 45…

A: The general solution of the logistic differential equation is given by: yt=L1+be-kt where t…

Q: What amount increased by 180% is $32.56? $18.09 $91.17 $12.45 $11.63 $180.89 4

A: Given data ÷ What amount increased by 180% is $32.56.   Suppose the number is $x which is increased…

Q: 2. (a) Find a particular solution to y" + 2y' + y = x2. (b) Find the general solution. (c) Solve the…

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Q: 11. Find the volume of the solid generated by revolving the plane region bounded by y = 4x2 and y =…

A: We have, y=4x2y=10x-x2   It is known that volume of the solid is generated by revolving the bounded…

Q: Solve the following differential equations. (1 – x)y' = cos² y, y(-1) = 3 а. %3D %3D

A: In a first order differential equation with variables x and y, if it is possible to arrange all the…

Q: Find the 9th, 24th, and nth terms of the arithmetic sequence. a, a + 5, a + 10, ... ag = a24 = an =

A: Given arithmetic sequence is  a, a+5, a+10, ..... where  first term = acommon difference d =…

Q: Pick a set S={\,2,..., n} ofn New York residents at random, Let X(i) = the number ol people in S w…

A: Let the set of people given in the question be, S=1,2,3,4,5,6,7,...n Let X(i) be a random variable…

Q: 4. Consider the function y = f (x) shown below to answer these questions: [= a. What is the domain…

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Q: Consider the bases B= (u1, u2) and B' = {uj, u½} for R², where -[} »-H «-} «-[*] uj = u2 = %3D (a)…

A: According to our guidelines we can answer only three sub-parts and rest can be reposted.

Q: in a nation would skip an ortant event such rthday party ersary dinner to watc e pr Assume the…

A: given data, n=629x=433p^=xn=433629=0.6884α=0.10claim:p&gt;0.66

Q: Find how many sticks are used to make the following pattern, if it contains 11 hexagons.

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Q: In the polynomial function y ax +a +ax+a ,a, must be: w**. b. A rational number a. A real number C.…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: c) Test whether the mean tax rate for females differs from that of males at the a=0.01 level of…

A: The descriptive analysis is conducted using EXCEL. The software procedure is given below: Enter the…