There are 2 gumball machines at Adventure Air. Each gumball machine is 14 inches in diameter. A gumball has a volume of 1 cubic inch. How many gumballs does Adventure Air need to purchase to fill both machines?

Q: The following table shows the results of a survey of 400 authors by a publishing company. Total 120…

A: Here we can use the following formula of probability of an event E PE=number of ways favourable to…

Q: Either draw a graph with the following properties, or explain why you cannot: Tree with 9 vertices…

A: We know that, Any tree with n vertices has n-1 edges.

Q: A tank contains 150 liters of fluid in which 20 grams of salt is dissolved. Pure water is then…

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Q: b) Write the inverse, converse, and contrapositive of the following proposition, "The Petronas Twin…

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Q: Find the associated half-life time or doubling time. (Round your answer to three significant…

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Q: Q.2. Let the set H :ab ≤2 (a) Is set H a vector space? Justify your answer. (b) Is the set H close…

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Q: Exercise 68. Show that (V, B) is non-degenerate if and only if the matrix defining the bilinear form…

A: Hint: Use the given definition of non-degenerate to obtain the proof. Now, we have to proof "if…

Q: Find the partial sum. 65 Σ (12n – 4) n = 1

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Q: Which of the following first order is linear? (¹) ¹/x = ¹ ex (六) a dx x A. B. (1) dy dx = 1 ex c.…

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Q: The following table shows the results of a survey of 400 authors by a publishing company.…

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Q: A first order AR process is given by th =-0-8X+-1 tet) Find the ACF for lag Xt Ime 2 and describe…

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: The sum of any two rational numbers is rational work this poblem out with step and why.

A: Let A and B are two rational numbers such that A=pq, q≠0 and B=rs, s≠0 Find the value of A+B

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A: We will use the given information to draw the venn diagram and from venn diagram we will find the…

Q: Complete the given relative frequency distribution and compute the stated relative frequencies.…

A: Here we need to find missing relative frequency in the given table. We can use the fact that sum of…

Q: 3. Draw and shade Venn diagrams using the graph below. P =A =B

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Q: Let A = 64 -2 -3 Find the eigenvalues of A and, for each eigenvalue, find a corresponding…

A: Sol:- Find the eigenvalues for 64-2-3The eigenvalues of A are the roots of the characteristic…

Q: The data can be modeled by the following system of linear equations. - 4x + 20y = 120 Equation 1 x +…

A: We have the equation -4x+20y=120 where y is the percentage of never married adults and x is the…

Q: What is the flux of the vector field F(x, y, z) = [9y, 2xy, 4yz + 234xy] through the unit cube [0,1]…

A: We find the flux of the vector field F(x, y, z) = [9y, 2xy, 4yz + 234xy] through the unit cube [0,1]…

Q: Having read the definition of trees, which of the following graphs are trees? Why? Draw each graph…

A: Given: Graphs with vertices and edges: a G=V,E, V=a,b,c,d,e and E=a,b,a,e,b,c,c,d,d,eb G=V,E,…

Q: Simplify these expressions. Do not use the implication operator anywhere. a. ¬(A V B) b. A → B C. (A…

A: We simplify the given propositions by using rules of inference.

Q: Problem 1. Let L be the line (2t, t, t — 1), t ≤ R, and A the point (1,1,-1). Let P be the plane…

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Q: Use U₁, j = [U₁+1,j + Uj, j+1 + U₁-1,j + Uj,j-1] and Gauss-Seidel iteration to approximate the…

A: Given :              ui ,j =14ui+1 +ui,j+1 + ui-1,j+ui ,j-1h=14u0,0=0 , 0u0 ,y=0     ,  u1 ,y…

Q: Use Muller's method to determine the roots of f(x) = -2+ 6.2x - 4x² - 0.7x³ Initial guesses: Xo =…

A: The given equation is: -2+6.2x-4x2-0.7x3 Initial guesses are: x0=0.5, x1=1.5, x2=2.5 We have to find…

Q: Prove the following proposition using forward-backward method, "If n is an even integer, then (n² +…

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Q: 5+8=13, 8+1+3= 12, 1+3+1+ || List the first 26 terms of the Diginacci sequence above. Find, with…

A: a) list the first 26 terms of the Diginacci sequence above. 5,8,13,12,7,10..…

Q: The sum of the four positive integers a, b, c, and d is at most 10. Find the number of possible…

A: Explanation of the answer is as follows

Q: Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli…

A: Given differential equation is dydx = yxy5 - 1

Q: a = 25 A LC = ZB= 27° 13 Submit Question B o Jump to Answer degrees degrees

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Q: Professor Tough's final examination has 17 true-false questions followed by 3 multiple-choice…

A: To solve this problem  (1) we find the number of ways to solve the true false questions . (2) we…

Q: S Q4 A body moves along the space curve r(t) = (6sin2t)-(6cos2t))+ 5tk. find? Unit tangent vector…

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Q: If R2 is the plane considered as an (additive) abelian group, show that any line L through the L in…

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Q: With all initial conditions equal to zero, what is the Laplace transform of y(t) in -2) + 2y (t) =…

A: So:- y'' +2y' +2y=HtTake Laplace transform of both sides of the equationLy'' +2y'…

Q: Which of the following relations are partial orders? Which are equivalence relations? (a) On the set…

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Q: Now, let's find the future value of the annuity. Recall that the future value FV of an account after…

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Q: [38] Consider the heat conduction in a circular disk: x² + y² < a². Assume that the boundary is…

A: Given That : the equation of circular disk  x2+y2&lt;a2 To Find : a) initial value problem in polar…

Q: A dietician is planning a snack package of fruit and nuts. Each ounce of fruit will supply zero…

A: First we find relation in variable and solve the relations to find solution region. Solution which…

Q: For what value of c does the integral shown below converge? CX 1 1² (²²,- — ) αx dx +7 5x C = 1/5…

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Q: Consider the following. X B D (a) Determine whether the graph is Eulerian. If it is, find an Euler…

A: Given a graph:   In the given graph we have to find: (a) Determine whether the graph is Eulerian.…

Q: Find the maximum value of the directional derivative at the point (3, 4) of the function f(x) Round…

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Q: For the following graph: (A) Find the adjacency matrix representation of the graph. (B) Find the…

A: Given-  To find- For the following graph- Find the adjacency matrix representation of the graph.…

Q: Use U₁+1,j + Ujj+1 + Uj-1₁j + Ujj-1-4ui, j = 0 to approximate the solution of Laplace's equation at…

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Q: 15 dx (x + 1)(x² + 4)

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Q: h (t) = sinh 3t u (t), x (t) = cosh (3t) u (t)?

A: Sol:-

Q: What is the initial value of f(t) if its Laplace transform is 5-2? 2s(s+2)

A: To Find: The initial value of f(t) if its Laplace transform is s-22ss+2

Q: Let Z be uniformly distributed on [0, 2π]. Let X = sin(Z), Y = cos(Z). Show that X and Y are…

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Q: 14. Find the double integral V10-22-² dA by changing it to polar coordinates, where R is the region…

A: we have to find the double integral  ∫∫R10-x2-y2dA by changing into polar coordinates , where R is…

Q: 10. Evaluate the definite integral below by using the definition of the definite integral (i.e. with…

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Q: Write a function by using procedural way and functional way to product of the squareroots of the…

A: As per the question we have to find the product of 1/√i from i = 1 to i = n = 1000 using:…

Q: 2. (a) Evaluate e²-dr, where a > 0.

A: Let, I=∫0∞e-x2-a2x2dxI=∫0∞e-x2e-a2x2dx Let F(x,a)=e-x2-a2x2DaF=-2ax2e-x2-a2x2DxF=-2x+2a2x3e-x2-a2x2

Q: Determine whether the matrix is in echelon form, reduced echelon form, or neither. [1 0-4 2] 01-5-5…

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