The Sherlock Holmes Detective Agency was hired to solve 15 mysteries last year. The detectives were able to solve 4/5 of the mysteries. How many mysteries did the detective agency solve?

Q: In(In z1)

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Q: 1. Using the Newton method evaluate 2x* + 24x³ + 61x² – 16x + 1 = 0. Let the initial guess X, 0.9

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Q: A retailer anticipates selling 2,600 units of its product at a uniform rate over the next year. Each...

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Q: а. Show that the set S of all symmetries of an equilateral triangle form a group under composition o...

A: We will be solving part (c) and (d) as mentioned. let S be the group of all symmetries of an equilat...

Q: 5. Solve the system of equations below by using the left division command - 3z=5 |2x + y 3x-2y +2z =...

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Q: What assumption is this calculator making?

A: We will see what assumptions your calculator is making, although you have NOT given much information...

Q: Suppose A C B, a E A, and a ¢ B – C. Prove that a E C.

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Q: Consider the following all-integer linear program. Маx 1x1 + 1x2 s.t. 4x1 + 7x2 s 31 1x, + 6х, s 18 ...

A: 1st we need to find optimal solution by using corner point method ( Lp relaxation ) . if solution co...

Q: Is this function harmonic? 2x + y³ – 3x?y a. Yes O b. No O c.Not at all O d. all of the above

A: coreect option is a. YES

Q: III) ai + x2 – x3 = -3 6x1 + 2x2 + 2x3 = 2 -3x1 + 4x2 + x3 = 1 %3!

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Q: Coach Krahn has 8 starting players to place in his batting lineup for the kickball game. If the pitc...

A: The coach has 8 players to place in batting lineup. As per the question the last place of lineup is ...

Q: Compute the least-squares regression line for predicting the price of milk from the price of eggs. R...

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Q: Determine the volume of the solid formed by revolving the area bounded by 9x2 + 36x + 4y2 + 24y + 36...

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Q: Show complete solution using row operations. Use variable "s" to denote a free variable in case it e...

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Q: Which of the following function does not have a Mclaurin Series O In(2+) cot z sin r Cos +1 O 22 sin...

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Q: dy - f *P, = 7 dt y(0) = 4.

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Q: Find all the values of In(4 – 4j). What is its principal value?

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Q: 1) Use Laplace Transforms to solve the IVP for 0 2 where y(0) = 0 and y' (0) = 0.

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Q: Determine whether the series is convergent or diver gent by applying either the comparison test or t...

A: 2.) Given series is ∑n = 1∞1nn As n > 2    for all n≥3nn > 2n   ⇒ 1nn < 12n ⇒  ∑n = 1∞ 1nn ...

Q: Solve using selaration of variables: xy^3 dx + ex^2 dy = 0.

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Q: Sketch the cardioid r = 3 cos 0 and find the coordinates of the points on the cardioid where the tan...

A: Given polar equation is r=3cosθ

Q: D. Determine whether the set W = {(a),az) E R|ajaz = 0} is a subspace of the vector space R. %3D the...

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Q: Write

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Q: 10r1 - 12 9. -21 + 10x2 – 2.r3 -2.x2 + 10x3 O76

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Q: Perform the indicated operation and convert your final answer to polar form z = r(cos0 + isin®) 1.)®...

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Q: Let G be a group with |G|=187 then every proper subgroup of G is: * O Non abelian O Non cyclic O Cyc...

A: G is a group and G=187.Let H be a proper subgroup of G.

Q: 1. You have two vests, three hats and 14 buttons. How many outfits can you make if each outfit has a...

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Q: Clay has 10 games. Marco has half as many games as Clay. How many games does Marco have?

A: To find- Clay has 10 games. Marco has half as many games as Clay. How many games does Marco have?

Q: The characteristic equation for the differential equation xy" – 3x²y" + 5xy' + 6y = 0 is :

A: We have to find the characteristic equation of the third order Cauchy-Euler linear homogeneous diffe...

Q: A company plans to purchase a new piece of equipment in 24 months. If $4938 is deposited into a savi...

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Q: 5. Use appropriate Lagrange interpolating polynomials of degrees one, two, and three to approximate ...

A: Note : according to our guidelines we can answer only first question

Q: Use 8 inference rules and 10 replacement rules (D.N., C.E., B.E., DeM., Dup., Assoc., Commu., Dist.,...

A:  use 8 inference rules and 10 replacement rules  i) A≡~B∨C            ...iB≡D·~E              ...ii~...

Q: te the integral I = Include 4 decimal places ox +6x+10 single application of the trapezoidal rule, m...

A: Consider the function f(x)=1x2+6x+10. The interval of integration is [0,1]. Therefore the change of ...

Q: H.WSolve et -et 2.

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Q: ə e(g?+5xy-24 +4) dx x(2x + 2y -1) dly + メ

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Q: Suppose x is a real number and x + 0. Prove that if then x 7 8. 2 16

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Q: If you were going to use a proof by contradiction to prove the following theorem, which of these wou...

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Q: Solve using separation of variables: xy2 dx + e* dy = 0; when x -> infinite, y -> 1/2.

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Q: 2s - 1 43. s2 - 6s + 18

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Q: Solving the linear system Ar =b using Gauss elimination with pivoting (GEP) leads to the following d...

A: 1st we will find L and U by factorization and the using GEP find solution of the system to decide fi...

Q: 39. In the diagram below, the length of the legs AC and BC of right triangle ABC are 6cm and 8 cm, r...

A: Given ∆ABC , where length of AC¯ is 6 cm and BC¯ is 8 cm and altitude CD¯ is drawn to the hypotenuse...

Q: A radio station ordered hats and coffee mu give away as prizes. A total of 1,000 of the items were o...

A: Introduction: Linear equations are first-order equations. Lines in the coordinate system are defined...

Q: Find the General Solution of the systems and indicate Eigenvalues and Eigenvectors.

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Q: If Arriane can sew 4 dresses in 24 hours, how many dresses can she sew in 72 hours? Blank 1 dresses.

A: This is a problem of counting.

Q: (a) g: Zg → Z6 defined by g(n) = n 2. (b) g: Z6 → Z6 defined by g(x) =x €x. (c) g: Zs → Zs defined b...

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Q: Use the power series method to solve the initial value problem: (x² + 1)y/" + 2xy = 0, y(0) = 0, y'(...

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Q: Solve: x²y!" + 8ry + 6y = 0

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Q: (b) The nth term of a geometric progression is given by T, Find the sum of first four terms.

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Q: After an oven is turned on, its temperature, T, is represented by the equation T = 400 – 350(3.2)-0....

A: Let at time t' temperature reaches 300° F.

Q: mol x 23 L L O mol 2.0947 mol 2.0947 x 2.70 L = mol L 944.21 g + 0.38 mL mL

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