Consider an alphabet that has 21 consonants and 5 vowels.  In how many ways can you make any arrangement of 3 vowels and 5 consonants taken from the alphabet such that no two consecutive letters are vowels?

Q: 4 -1 1 X1 100 -1 4 -1 1 X2 100 -1 4 -1 X3 100 -1 4 100 1 -1 4 X5 100

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A: given  F(z)=xy+i(x2-y2) To find the value of  F(-1+2i)

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A: The main objective is to find complex form of Fourier series of f(t).

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A: Given that Line 2x-y+1=0 touches the circle at point P(2,5). It means line passes through P(2,5) and...

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Q: 88 3/2 412 115 3I5

A: the given fraction is 16÷32 to solve the division change the division into multiplication and take t...

Q: 1/3

A: Introduction: A mixed fraction is one that is represented by its quotient and remainder. To convert ...

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Q: Find the value of Vx+3-/3 lim lim,-5* |x-5|(x²+5) (x-5) 1 O -20 2+/3 O 130 O none О 30 2 V3 O None 1...

A: 1) find the value of limx→0x+3-3x rationalize the numerator limx→0x+3-3x=limx→0x+3-3x×x+3+3x+3+3    ...

Q: ملاحظة: اجب عن فرعين Q1) A card is drawn from deck. Find the probability of: a) getting a jack. b) g...

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve the first three ...

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Q: 38 – 9 Find the inverse Laplace transform of F(s) s2 + 2s + 10 f(t) =

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Q: Find all real numbers a and b such that the complex numbers 21 = a² + 4b – bi and 22 = 4+b- 2 a²i ar...

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Q: 1) Consider the set X = {x E R* / 93x1 + 34.x2 + 26.x3 + 18.x4 < 131, x1, X2, X3, X4 E {0,1}}. (a) S...

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Q: (c) Solve for each of the following. dx (i) Vĩ + Jỹ = 4 (ii) y = 2x2+1

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Q: Which of the following graphs represents the relationship betweer x and y if y always increases as x...

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Q: Solve: x²y!" + 8ry + 6y = 0

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Q: d²x dx (v) - 2 + 10x = e2t x(0) = 0, x' (0) = 1 dt2 dt

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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: Are these two triangles congruent? If so, state the rule which you used to determine congruence. SAA...

A: Correct option is last.

Q: dy/dx=j1y (a)solve the differential equation (b) solve the initial value problem with y(0)=j2 (j1...

A: We have to solve the given differential equation.

Q: Consider the bases B = {u,, u,} and B' = {u, u,} for R %3D %3D where u, = u, = %3D a. Find the trans...

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Q: 3 %3D 我一

A: 935÷1214 change the mixed fraction to improper fraction 485÷1214 change the division sign to multipl...

Q: handwritten solution

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Q: Question 2. Let T : V →V and S : V→V be two operators. Let U be a T-invariant and S-invariant subspa...

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Q: A function wherein all terms are of the same degree in terms of x and y is known as ________

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Q: Solve the systems of linear congruence equations.

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Q: fØ: R → S is a ring isomorphism. Th Nilpotent elements Idempotent elemen

A: The properties of ring isomorphism are given. We have to select correct properties of it.

Q: Question 2. Suppose that G is a group that has exactly one non-trivial proper subgroup. Prove that G...

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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: Solve for the solution of the differential equation. y" + y= 1 y (0) = 1, y (0) = 0 Oy = 1 O y =1+ s...

A: We have to solve for the solution of the differential equation                                   y''...

Q: A company is considering two insurance plans with coverage and premiums shown. It needs at least $15...

A: Let units purchased for policy A = x units Let unity purchased for policy A = y units

Q: Solve integration for each of the following.

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Q: Determine the center Z(S) of S.

A: This is a problem of Group Theory.

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Q: I1 I2 I3 1 30 Given a system in augmented matrix: 1 4 1 1 5 2 Determine the following (Show complete...

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Q: A city's population is currently 27,000 and is growing by 5.8% each year. If this continues, in how ...

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Q: Consider the system of equations .x – 3y + z = 0, x + ày + 3z = 1, 3x +y + 5z = 2. The values of 2, ...

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

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Q: Thm (7.5 f i, antimmis ot Xo and is contiumms at fixe). Thon, got s contmams at Xo. Carrider C2n) C ...

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Q: A = -2 Find the inverse of the Matrix:

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Q: Given the matrix A, considering the bases β = {(1,0),(0,1)} of R2 and β' = {(1,0,0),(0,1,0),(0,0,1)}...

A: The main objective is to identify correct transformation associated to matrix A with the basis.   We...

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Q: Determine (with proof) if there exist integers m and x such that 1997m + 47x2 = 3(17x – 1). | If the...

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Q: • Formulate the problem as an LP. • Write the dual LP. • Derive the units on the dual variables and ...

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Q: Quiz/ Find the volume of the solid generated by revolving the region bounded by the parabola ( y? = ...

A: a) About the x-axis Area=π∫ab[f(x)-g(x)]dx=π∫022x-x dx=π223x32-x2202=π2163-2=2π3sq.units

Q: 8. Solve the following system of differential equations by elimination. (Section 4.9) dx - 4y = 1 dt...

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Q: 4. A scalar potential is defined by = q/4ng.r. Find the negative gradient of this function and what ...

A: Introduction: The negative gradient of a scalar potential is just the negative sign of the gradient ...