Kate and Jean paint a house together in 6 days. If they work alone, Kate takes 5 fewer days than Jean would take to do the same job. Which equation represents the time it takes Kate to paint the house by herself?

Q: Let X = {1, 2, 3, 4, 5, 6}. Which of the following is a partition of X? O (12) (34) (56) O {{1, 2},…

A: This question is related to set theory, we will solve it using given information.

Q: polynomial expression is shown below. ex(4x3 + 8x2 - 12) - (x2 + 4)(x2 + 7) The expression is…

A: Topic = Algebra e =9

Q: CA | Just a Smidgen More on Matrices:Question 2 Supposes you have two 3x3 matrices, S and Y. If you…

A: Let's find.

Q: Find the inverse of g (2) of g (x) = { x + ²

A: The given function is: g(x)=12x+32

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A: Given, f(x )= √ 2/3 x - 6 Domain= (-inf,inf) Range= (-inf,inf)

Q: Use the pair of functions to find f(g(x)) and g (f(x)). Simplify your answers. f(x)=√x+6, g(x) = x²…

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Q: 3. (Linear Algebra) The following system of equations have unique solutions. Solve the system using…

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Q: A ∪ B ∪ C

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Q: 6. √2+ i over R over O

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Q: Use the matrix of transition probabilities P and initial state matrix Xo to find the state matrices…

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Q: In the formula, shown below, PMT= -nt7 In the formula, shown above, is the regular payment amount…

A: In the given formula  PMT = monthly payment of a loan P = loan amount r = interest rate t = time in…

Q: Let G be the interval (1/3, ∞). Let □ be the operation on G such that, for all x, y € G, xay=6xy -…

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Q: 315 241 42-9

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Q: d. log(5x + 3) = log 12

A: Solving for x

Q: The DOT PRODUCT of the two vectors is 1111 N. The magnitude of vector J is 100 N. Find the magnitude…

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Q: Sally purchases some apples and oranges for $5.25. Oranges cost 51 cents each and apples costs 42…

A: 1. Let  number of oranges = x number of apples = y apples and oranges for $5.25. Oranges cost 51…

Q: A ski resort has a lift from A to C, as shown in the figure below. Angle DAC measures 34°. Mountain…

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Q: Evaluate the expression when x=4 and y = 7. 36 y

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Q: Question 3 Given that x and y vary inversely and that yis 24 when x is 8, sketch a graph of this…

A: Given that x and y vary inversely and y is 24 when x is 8, to sketch a graph of this inverse…

Q: your answer is a fraction like, then enter your answer as - 3/2 without using any spaces. Fractions…

A: I am attaching image so that you understand each and every step.

Q: Find two consecutive whole numbers that √39 lies between. and 10 x 5 ?

A: Given 39 We have to find two consecutive whole numbers that 39 lies between

Q: A water ride with heights above and below the starting point can be modeled by the function…

A: As per the question, we will be solving the following.…

Q: 1 05 , y(0) = y'(0) = 0 y'' - 4y + 3y y(t) = f(t)uo(t)- g(t)us(t), where f(t) = g(t) = Question…

A: Laplace

Q: Solve the inequality. Write the solution set in interval notation. 6) -1 -2(2x + 1) <x - (-1-x)

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Q: Graph the following function over the indicated interval. 300 N= [0,6] 2+ e Choose the correct graph…

A: We have to find out graph

Q: +3 ²-25 +

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Q: Solve the given equation for x. -3x-x² =9-4 9

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Q: Given that tan² O +1 00|m O ± IN 11 8 000 = 100 8S 3 8, what is the value of sec e?

A: I have stated the used formula in the solution.

Q: Evaluate the determinant of D = = 135 A. t² +t+8 B. t² + 28 6 tfzl t + 2 C. t² - 10 D. t² 10t 28

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Q: Given A(3,-7), under which reflection is A'(3,7

A: We can answer the question as below.

Q: 1. Let T be a normal operator on a finite-dimensional complex inner product space V, and let A₁,...…

A: Note : according to our gauidlines i can solve only first 3 subpart, please reroute the remaining…

Q: Frank is investing his money. He thinks that he should make $12 for every $100 he invests. How much…

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Q: Find the extremum of f(x,y) subject to the given constraint, and state whether it is a maximum or a…

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Q: Prove the following by using induction: 1(1!) + 2(2!) + 3(3!) +...... + n(n!) = (n + 1)! - 1, for n…

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Q: For the function, determine whether it is one-to-one. If it is one-to-one, find a formula for the…

A: We have to solve above question and find functions one to one

Q: 5 2 a 4а-5 2-а за + 2 = 6а-8 4 a -5

A: Given: 52a4a−52−a3a+24a−5=6a−8 To find the value of a

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Q: The doubling period of a bateria population is 10 minutes. At time t=80 minutes, the baterial…

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Q: Let R be a ring. Let p and q be elements of R[x] such that deg(p) = 1 and deg(q) = 2. True or false:…

A: Given that R be the Ring and p and q are elements of R[x] Deg(p)=deg(q)

Q: Topic: Root Finding using Fixed-Point Iteration Solve the problems and show the complete solution.…

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Q: Simplify the complex fraction. Write your answer in factored form. 16 , x ★ -1, x ± 0 4 x+1 T ||

A: We have to simplify given expression

Q: A boy is pushing a box with a force that can be described by the function: (x) = x³ − sin 2x + 1,…

A: The force applied to the box is: f(x)=x3-sin 2x+1

Q: Solve each equation for x: a. log,(x + 1) = log, 6

A: The solution of the logarithmic equation is given below:

Q: Chose the slope-intercept form of the equation of the line through the point (-1,2) and…

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Q: for each item. If NONE or MORE THAN ONE of the choices is the correct answe

A: Solution of the problem as follows

Q: equati 3 e the rational 35 4) = x + 2 = 4 X

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: A principal of $12,000 is invested in an account paying an annual interest rate of 7%. Find the…

A: Compounded quarterly , n=4

Q: Determine the area bounded by the functions f(x) = (x + 1)³ and g(x)= x + 1 1 A =-=-unit² 3 B unit²…

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