Use the following experiment. A state lottery game consists of choosing one card from each of the four suits in a standard deck of playing cards. (There are 13 cards in each suit.) Count the number of ways in which four 7's can be chosen.

Q: Use the given graph of y = f(x) to find the intervals on which f'(x) > 0, the intervals on which…

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Q: QUESTION 5 Write the equation of the line with slope: O O y=2==(x-6) 2 y+2=(x+6) 3 2 y+2=(x-6) 3 2 3…

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Q: Find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the…

A: We have to find the interval of increasing and decreasing.

Q: Rick's lumberyard has 200 yd of fencing with which to enclose a rectangular area. If the enclosed…

A: We need to express the area as function of x,  where x is the length of rectangle

Q: Find 3 consecutive even integers such that three times the first plus six times the second is equal…

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Q: D E A B C Area of AACD: Area of AECD: Area of AAEC: A B E Area of AACD: Area of AECD: Area of AAEC:…

A: From the given two triangles we have to find the area of the below mentioned triangles. Note that…

Q: log3(5x-1)=4 15

A: log35x-1=4

Q: You deposit $15000 in a bank that pays annul interest rate of 6% compounded quarterly. How much your…

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Q: Find a basis for the null space of the matrix 1 -1 3 1 A 1 4 1 1 02 -5 2 3 -2 12 0 -3 1 0

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Q: Solve the given system using the inverse of the coefficient matrix. 3x + y = -1 14x + 5y = 2 X =

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Q: Talai manufactures cell phone cases. It plans to manufacture 200,000 cases to be sold at $8.55 each.…

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Q: Given the matrix transformation f(v) = Select one: O (8,14) - (-23) O (8,9) O (6,14) (6,9) O None of…

A: Solution : Given that

Q: Ten liters of pure water and 15 liters of 35 % salt solution are poured into a drum originally…

A: The answer is in step 2.

Q: If homogeneous system contains 4 equations and 5 unknowns, then the system has nontrivial solution.…

A: Topic = Equations -TRUE

Q: Find the formula for the nth term of the sequence a. 17, 30, 43, 56, 69, 82, ... b. 1 3 7 11 15…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: Q) Find an equation of the line Standard Form with x-Intercept 2 and y-Intercept 4.

A: this is the question of geometry we have to find the equation of line whose intercept are given…

Q: Solve for X. 5 4 3 [$] x + [3 81-6 3] x. 8 9 7

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Q: The functions f and g are defined as f(x) = 5x + 9 and g(x)=1-4x. f a) Find the domain of f, g, f+g,…

A: Since you have posted multiple questions, we are supposed to answer only first  question. If you…

Q: [1 a {[69] : a € R}. G is a group under the operation of matrix multiplication 01 2. Let G := (you…

A: Given : G=1a0a : a∈R is group under matrix multiplication   To show : G is isomorphic to R

Q: The functions f and g are defined as f(x) = 7x + 4 and g(x) = 7 - 3x. a) Find the domain of f, g,…

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Q: If you wish to move a function up or down you should add a constant to ox intercept the x value both…

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Q: The graph of a quadratic function with vertex (1, -2) is shown in the figure below. Find the range…

A: The given graph is of a parabola with vertex (1, -2) which is open downwards.

Q: perimeter of a rectangle is 20?^2+8?-1. If the length of the rectangle is 7?−1, solve for its width

A: Given query is to find the width of the rectangle.

Q: Find f''(x). f(x) = (x² + 7) 5 f''(x) =

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Q: Domain of g-¹ (x) ;.

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Q: A sample of a newly discovered element, West Virginium, has been discovered. A 783 mg sample has…

A: Given query is to find the half life.

Q: find the lcm of y^2-y-6 and y^2-7y-12

A: We need to find LCM

Q: x² - 6x - 11 = 0 (solve by completing the square

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Q: Find the perimeter of the polygon. The perimeter of the polygon is (Simplify your answer.) 2 km 7 km…

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Q: A rabbit breeder starts with 16 rabbits. if the population grows exponentially at a rate of 23% per…

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Q: Find f''(x). f(x) = (x² +1) 6

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Q: K Determine visually whether the graph is symmetric with respect to the x-axis, the y-axis, or the…

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Q: Describe how the graph of the function can be obtained from one of the basic graphs. f(x) = 3√√x-1…

A: We have to given formation of given graph from basic graph.

Q: Which of the following is the solution of the linear = 17 -9x - 5y + 3z system -5x - 3y + 5z 2x + 5y…

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Q: 5. Find the intersections of the ellipse E: x²+4y² = 20 and the line 1₁x + 2y = 6

A: Given equation of ellipse  x2 + 4y2 = 20 equation of line     x +  2y = 6

Q: Suppose that $15,907 is invested at an interest rate of 6.7% per year, compounded continuously. a)…

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Q: 1. Consider the map : GL₂(R) → GL2 (R) defined by o(A) = (A-1)tr where Btr means the transpose of B.…

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Q: Given the system. -2x - 3y - 2z = 3 -x - 3y + z = 7 Which of the following statement is correct?…

A: The given system is:-2x-3y-2z=3-x-3y+z=7

Q: Find a unit vector u with the same direction as the given vector v. Use the square root symbol ''…

A: v=8i-5j-2k

Q: with its digits reversed. What is the origina 27. Evelyn invested $8400 in a CD and $9600 in a money…

A: You know that that investment made in CD=$8400 Investment made in money market =$9600 Total interest…

Q: The following function is given. 3 2 f(x) = x³ -3x -4x+12 a. List all rational zeros that are…

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Q: Simplify the following rational function and state where the vertical asymptote and hole exist.

A: NOTE: Refresh your page if you can't see any equations. .

Q: Find the area of the polygon. 2 A= 14 ft (Type an integer or a decimal.) 9.5 ft 5 ft

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Q: Choose all values of a for which the given homogeneous linear system has only a trivial solution O…

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Q: K 1 Suppose that $58,000 is invested at 3-% interest, compounded quarterly. 2 a) Find the function…

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Q: Please help me answer question #29 meeting the requirements for both part a and part b. Note that…

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Q: Solve. X 1 2 = 9 Select the correct choice below and, if necessary, fill in the answer box to…

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Q: move a function left or right you should add a constant * value mone of these y value both the x and…

A: Topic:- application of calculus

Q: Jenny and Michael were buying decorations for a party. Jenny bought 4 streamers and 5 packs  of…

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Q: Determine the volume of the solid in obtained by rotating the region bounded by y = z² - 12 and y =…

A: (1).The given curves are:y=x2-x    and    y=x