How many 5 digit even numbers can you form using all of the digits 1, 2, 3, 3, 5? 12 60 24 120

Q: Let p: Hwi win the first round and q: Hwi win the tournament. Write the following statements in symb...

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Q: Give an example of a vector space V over a field A a) injective but not surjective; b) surjective bu...

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Q: such that ab = 1 b) : In Z3XU3, Find the order of (1, 2). Show your work.

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Q: : Show that if G is a cyclic group then G is abelian. : Let n>0 be a positive integer, and let a and...

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Q: (X1, X2) = -x2, Q(x1, x2) = x1; D = {(x1, T2) : 0 < x1 < 1,0 < x2 < 1}. (X1, 82) (¤1, P2) = 2x1 – 3x...

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Q: Show that if G is a cyclic group then G is abelian. : Let n>0 be a positive integer, and let a and b...

A: Let G be a group and let ZG be center of  G. Here , ZG = a∈G / ag = ga , ∀ g ∈ G We need to show tha...

Q: The acceleration of a particle as it moves along a straight line is given by a-21 -1. Ifs 1 and y- 2...

A: Given the acceleration of a particle as it moves along a straight line is given by a=2t-1 m/s2, If s...

Q: 1 dydx JE yª + 1 Evaluate the double integral by reversing the order of integration

A: Let us consider the double integration I=∫ab∫g(x)h(x)f(x,y)dydx On changing the order of integration...

Q: Given the table below 0.1 0.2 0.3 0.4 0.5 0.6 f(x) 0.425 0.475 0.400 0.452 0.525 0.575 Approximate t...

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Q: Which among the following is purely imaginary? Select the correct response: Z= 6 Z= 7-9i Z= -1 +2i Z...

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Q: Q4) Suppose there is a decrease in the demand for investment, and increase in saving in an economy. ...

A: As there is decrease in the investment the real rate of interest increases because the savings in an...

Q: Problem 1 For two weeks, the highest temperature each day was recorded in four different cities. Lin...

A: GIven: l is the line for Lubbock m is for Memphis n is for New orleans and  p is for phoenix.

Q: Use a suitable method to prove or disprove the following statement formally and precisely: If the pr...

A: Even and odd numbers can also be characterized as: Even Number: A number that is divisible by 2, le...

Q: Write the exponential equation that goes through the p

A: Given, the exponential equation that goes through the points (-2, 3), and (2, 48).

Q: What 3-digit number has the number 5 as its digit in the tens place and the digit in the hundreds pl...

A: The digit in the tens place is 5. Consider the number is x5y. The digit of the hundreds place is twi...

Q: Given the table below 0.1 0.2 0.3 0.4 0.5 0.6 f(x) 0.425 0.475 0.400 0.452 0.525 0.575 Approximate t...

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Q: If fufe.- fuave diffa Veubable at'xo eI fuave difle Veubable at Xo eI Pi:I R,ists-n prove O firfet--...

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Q: How many ways can a set of 10 different books be arranged on a shelf if they are not in alphabetical...

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Q: 2. Let r > 1. Prove that lim r" = 00,

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Q: What is the future worth of P600 deposited at the end of every month for 4 years if the interest rat...

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Q: ZQOT and are vertical angles? T Q H B O ZTOY O ZYOQ O ZHOY

A: We know that the pair of opposite angles made by two intersecting lines are called vertical angles.

Q: Use substitution method to prove step-by-step that (PAQ)^(P = –(Q^R))^(S = R) = ¬S.

A: We are asked to prove the following using the substitution method, P∧Q∧P⇒~Q∧R∧S⇒R⇒~S We will show th...

Q: 4. 10x + 4y - 22 = 20, 3x + 12y - 2 = 28, x+ 4y + 72 == 2.

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Q: The composite is composed of a cone and hemisphere. 39 ft 33 ft a) Find the surface area of the comp...

A: The area is the measure of the space occupied by a surface. It is measured in terms of the number of...

Q: 1. Determine whether each of the following sequences converges uniformly on [0,+∞). a. fn(x) = x"e-n...

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Q: Write the first 5 terms of the sequences with general terms an below and indicate whether they are c...

A: Given series (i) an=3n+11-2n , (ii) an=(4n+1)3-n , (iii) an=3+(-1)n  and (iv) an=1+(-1)nn4 We have t...

Q: Use Bisection method to find a real root of x2 -2 in the interval [1,2]. What should be xg Xn Xn Xn+...

A: As  f(x)=x2-2, in [1,2]Therefore,  f(xn-)=f(1.40625)                            =(1.40625)2-2       ...

Q: Evaluate (5+ i sqrt (3)) / (1- i sqrt (3)) Select the correct response: ½ + (3 sqrt (3))/2 i ½ + i s...

A: To evaluate the given expression. 

Q: ve or disprove formally and precisely that the product of two consecutive integers is ays even (for ...

A: Product of two consecutive integers

Q: COMBINATIONS Evaluate each expression. 1. C(22,20) 2. C(12,8) 3. C(24,5) 4. C(20,16) C(20,5) 5.

A: COMBINATIONS

Q: Solve each of the following s determine the solution/s:

A: 7. The given set of equation is  3u+5v=156u+10v=-30 plot the equations on the graph  the first equat...

Q: given the function h(x) = - x/2 + 1 calaculate the values of h(-2) and h(3)  and draw a graph.

A: We have to evaluate the value of the function hx=-x2+1 at the points x=-2 and x=3. First we have to ...

Q: 3. Sketch a graph of a rational function that satisfies the following conditions: f(0) = 0, f(-3) =-...

A: Solution:-

Q: The value of x that satisfies f(xr)= 0 is called the (A) root of an equation f(x)=0 (B) root of a fu...

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Q: Which of the following is always equal to a. A c. A b. d. A

A: We have to find from given options which is equal to AT-1.

Q: 2) y In(y) dx + (1+x²) dy = 0

A: Given: ylnydx+(1+x2)dy=0⇒y lny dx = -(1+x2 ) dy⇒dx(1+x2) = -1ylnydylet lny =t

Q: *ーx? xp x* + 2x +1

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Q: How many permutations are there of 10 people arranged in a circle? 3,628,800 10 O10!-1! 362.880

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Q: How many ways can 10 used cars at a parking lot be parked in a row if the 4 different black cars mus...

A: We have to find total number to ways to park 10 car such that 4 black cars must not be together.

Q: At a weather station, a balloon is released every 6 hours, day and night. Calculate the number of ba...

A: Multiplication and division can be used to solve many problems which requires sharing or division. I...

Q: The composite is composed of a cc hemisphere. a) Find the surface area of the com Give answer in ter...

A: Introduction: The formula for the surface area of a cone of radius r and slant height l is given by,...

Q: Simplify (금아 (-금-))" Gois (-)) (2- v3 – )* 4.17 (-) 3.89 2 TC 3.63 Z 3.89 2-지

A: Use the following formulae, to obtain the solution. The polar form of the complex number z=x+jy is ...

Q: Exercise 18 Get the second derivative of the function f(x) = e3en el point 1.3 Using Richardson's ex...

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Q: A population grows according to an exponential growth model, with Po = 70 and P 133 %3D Complete the...

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Q: X'0, X1,* , Xn E (a, b) are arbitrary points such that x; # x; for i # j. Fur- thermore, let P be a ...

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Q: 7 4 16 Diagnolize the matrix A 2 5 8 -2 -2 -5

A: We diagnolize the matrix A by finding a non-singular matrix P such that P-1AP=D where D is a diagona...

Q: 3. Ranking the first, second, and third place finishers in a race with 10 competitors. 4. Choosing 4...

A: Permutations and combinations

Q: Find an equation of the plane. The plane through the point (4, 0, 2) and perpendicular to the line x...

A: To find- Find an equation of the plane. The plane through the point 4, 0, 2 and perpendicular to the...

Q: Marley picks out a marble from a bag with 15 red marbles, 10 blue m and 18 vellow marbles What is th...

A: There are 15 red marbles 10 blue marbles  18 yellow marbles therefore total number of marbles is 43 ...

Q: Which of the following is a condition for the convergence using the Fixed-Point Iteration Method? O ...

A: See the detailed proof.