Suppose that y is proportional to the cube of x, and that y = 5 when x = 7. What is y when x = 3? Round your answer to two decimal places if necessary.

Q: At the north campus of a performing arts​ school, ​90% of the students are music majors. At the…

A: At the north campus of a performing arts​ school, ​90% of the students are music majors. At the…

Q: Consider the matrices given below. D A = 2 3 5 OBA - - 1 " B= = " с = [23], and D= [-1 -3]. - Which…

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Q: QB3% Let C=2+3i u= ( 1²/13 + 2/2 ²,0, 1/3-2²) v = ( 3²/3 + 4/1/², 1/3-2, 0) Calculate a) 2-3i b)…

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Q: Find the average value of the function f(x, y) = 4/√√x² + y² on the annular region a² ≤ x² + y² ≤…

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Q: Let A, B, C, and D be four sets. Prove the following two statements. a. Suppose that An BCC\D. Prove…

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Q: Calculate the double integral. | 10(1+2) JR dA, R = {(x, y) |0 ≤ x ≤ 4,0 ≤ y ≤ 1}

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Q: Write the equation of the ellipse that has a center at (5, -1), a focus at (3,-1), and a vertex at…

A: NOTE: Refresh your page if you can't see any equations..Here we have, ​​​​​​​As we can see, for all…

Q: Find the equation of the ellipse with the following properties. Express your answer in standard…

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Q: Given the following equations: 1) 3x – y + 2z = 5 2) 2x + 2y + z = 7 3) -x + 3y – 2z = -3…

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Q: 3 1 The matrix o 31 has only one eigenvalue. What is the dimension of the eigenspace 00…

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Q: . Solve the logarithmic equations. log464 = m log8n = 3 logp4096 = 3 log32q = 3 b. Study the…

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Q: We can write log32. · √y¹¹) into the form A log, æ + Blog y where A = and B = Write A and B as…

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Q: On a recent trip to the convenience store, you picked up 2 gallons of milk, 4 bottles of water, and…

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Q: Do values exist for p, q, r such that the compound expression is satisfiable? (p ^q^r) V (q^r)? O…

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Q: a team of biologists Captured and tagged approximately 2200 Northern Squaw fish at the Bomeville Dam…

A: The solution is shown in step-2

Q: Which statement is true? O One line segment can divide a square into two smaller squares. One line…

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Q: Use the Laplace transform to solve the given initial-value problem. y(t) 2y+3y" - 3y' - 2y = e-t,…

A: The given equation is; 2y'''+3y''-3y'-2y=e-t, y(0)=0, y'(0)=0, y''(0)=1

Q: Give the equation of the line passing through the point (-2, 6) that is parallel to y = -2x + 8.…

A: 2)y=-2x+8 ,(-2,6)3) y=-7x,  (35,11)4)y=5x/6 -8, (10,-17)5)y=3, (7,-7)

Q: Find the equation of the hyperbola with the following properties. Express your answer in standard…

A: Find the equation of the hyperbola withFoci at and Vertices at and

Q: Use the scaler triple product to show that the vectors a = b= (2,-1,4> and c <0, -9, 18) are…

A: Let three vectors are as follows If these three vectors are coplaner then

Q: The graph of f(x) is shown in red. Draw the graph of g(x) = f( − x). After finishing the graph,…

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Q: A badminton birdie is hit along an arc described by the parabola h(x) -0. 1x² + x + 2.4, where h is…

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Q: u + 8 by: Draw a graph of f(u): u +2 1. First placing the horizontal and vertical asymptotes by…

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Q: If loga(3)=G and loga(5)=H, express loga(1225) in terms of H and G

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Q: 15. f(t) = e' sin t

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Q: Q11: Let a) 6 b) 16 A= c) 4 4 q 7 then the radius -5 11 let 0 (-1, r) be a Gershogorin disc of A…

A: The solution is shown in step-2

Q: Jerry, Beth, and Adam are all solving the same Jerry 252= 1251/3 52(2x)-5

A: Given:-  (25)2x

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A: Law of radioactive decay

Q: Find a vector x whose image under T, defined by T(x)=Ax, is b, and determine whether x is unique.…

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Q: 6) Find the Laplace transform for each of the functions f(t) = 2 cos at - 3 sinh at

A: Givenf(t) = 2 cos at - 3 sinh at

Q: 1. For which values of a, b is x^3 + a*x^2 + bx - 10 divisible by x^2+x-2 A) a = B) a = 6, b = 3 C)…

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Q: R 8 ln(x) 10 G +B+ Match each equation with a graph above Blog(x) et a. black (K) b. red (R) c.…

A: We have to match each equation with respective graph. We have the equations

Q: A tank initially holds 80 gal of a brine solution containing 1/8 lb of salt per gallon. At t=0,…

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Q: What is the range of the graph shown below? -5- 0 GEND -5 ○ {y ≤R/y≥ −4} O{x € R/x ≥ 3} ○ {x ≤ R} ○…

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Q: Consider the matrix A whose RREF is the null space of A? -0 (a) (b) (1) 1 0 5 -3 01 2 0 0 0 1 0 0 1…

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Q: Write the sum 4-1-6----21 using sigma notation, starting the index at 1. Then evaluate the sum using…

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Q: The function f(x) = 2³-33x² +108x + 10 has one local minimum and one local maximum. Use a graph of…

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Q: Evaluate the double integral by first identifying it as the volume of a solid. 1² 4 dA, R = {(x, y)…

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Q: Calculate the double integral. 3xy² dA, of x² + 1 R = {(x, y) | 0 ≤ x ≤ 3, -2 ≤ y ≤ 2}

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Q: -54-3-2-1 + <2 < 3 12 E -2 3 1 2 3 4 The function graphed above is decreasing on the interval

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Q: The graph to the right shows a region of feasible solutions. Use this region to find maximum and…

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Q: Evaluate the integral. -π/4 4 + 5 cos²0 cos²0 Jo de

A: Ton evaluate the following integral.

Q: Worker A Can Complete a task in 8 hours while WORKER B Can Complete the Same task in 9 hours. How…

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Q: Graph the line by plotting any two ordered pairs with integer value coordinates that satisfy the…

A: Given:

Q: 例題 4 Solving the first-order differential equation xy'(x) = y(x) +√√x² + y² with the initial…

A: Given Differential Equation

Q: Prove for all integers n, k, and r with n ≥k≥r that (O)(=O(-) Lify both sides.) n n- r

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Q: The values you enter in the You have volunteered to make the punch for your friend's birthday party…

A: We can solve the given problem by using the concept of ratios.

Q: Question 10 For the function g(x)=x²-2x+5, what is the best estimate for the instantaneous rate of…

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Q: Shipping Charges Merchandise weight Shipping charge $16.94 (pounds) 5 10 20 40 The table above shows…

A: The table shows shipping charges and the weight of the merchandise.Weight of merchandiseShipping…

Q: The length of rectangular garden is 3 feet longer than the width. If the area of the garden is 40…

A: The length of rectangular garden is 3 feet longer than the width. If the area of the garden is 40…