(a) Suppose a code consists of five characters, three digits followed by two letters. Find the number of: i. codes ii. codes with distinct letters iii. codes with distinct digits. (b) Josh wants to go to Sacramento. He can choose from 4 bus services or 3 train services to head from home to downtown LA. From there, he can choose from 5 bus services or 4 train services to head to Sacramento. How many ways are there for Josh to get to Sacramento?

Q: Example 4: Draw the image for a dilation with a scale factor of -. A scale factor of - means the ima...

A: Any point on the cartesian coordinate system is defined as x, y.  Start from the origin, move p unit...

Q: II DISCUSS THE PROPERTIES OF THE CURVE AND SKETCH FULLY (drawn to scale) 1. y= (1/3)x - (1/2)x² - 2x...

A: 2) y=x2+22 discuss the properties of the curve vertical asymptotes since there is no value of x for ...

Q: Solve the following linear programming problem using both geometric method and simplex method. Maxim...

A:

Q: Using the set Z of integers, Q of rationals, and I of irrationals, determine if P={Z,Q,I} is a parti...

A:

Q: 글 (n3 + 1) 2 [Hint: Σ=1x3 = (1)3 + (2)3 = 9]

A:

Q: At basketball practice, Derrick was practicing free throws from the foul line. The height h (t), in ...

A: The height in feet is modelled by the function h(t) = -16t2+40t+5

Q: y dx = 4 (x+ y®) dy

A: The linear form of a differential equation is dxdy+P(y)x=Q(y). The integrating factor of the differe...

Q: 10) Define T E L(R²) by T(x, y) = (41x + 7y,-20x + 74y). Verify that the matrix of T with respect to...

A:

Q: Let L = {6, 12, 18, 24, . . .} be the set of multiples c let M = {45, 90, 135, . . .} be the set of ...

A: Introduction: The objects in a set are referred to as their elements (or members); the elements are ...

Q: Use the graph of f(x) to sketch the graph

A: Consider the given graph. We have to draw the graph of y=12fx. First of all we will make the table f...

Q: Identify the equation of a quadratic function with a vertex of (3, 0) that also contains the point (...

A: As given by the question, There are given that the vertex is 3, 0 and the point is 4, -1. Then, To i...

Q: Find the area of the region bounded by the line y = 2x – 5 and the parabola y = x² – 4x.

A:

Q: Find the error propagated from the function y = 3x* if an error of 0.06 occurs in the independent va...

A:

Q: Incxt di-ya

A: Relation between the cartesian co=ordinate and the polar form x=rcosθy=rsinθx2+y2=r2θ=tan-1yx ∫D∫f(x...

Q: Suppose that the Fourier series expansion for function { 2 cos x, if - Ħ< x < 0 f (x) = if 0 < x < T...

A: Given fx=2cosxif -π&lt;x&lt;0sinxif  0&lt;x&lt;π

Q: Example 27 Find the formula for the inverse of the following functions: 2x+3 a. g(x) = x² – 1 b. h(x...

A: The inverse of a real-valued function is a map such that the composition of the original function an...

Q: Find a, b, c E R such that the polynomial f(x) = x³ + ax? + bx + c is divisible by g1 (x) = x + 2 an...

A: The given question is related with polynomials. Given that,                  fx = x3 + ax2 + bx + c ...

Q: A ball is thrown into the air with an upward velocity of 40 feet/second. Its height, h, after t seco...

A:

Q: What are the example of experiments or activities wherein we can apply the computation of probabilit...

A:

Q: Solve for 0, 0 < 0 < 2m. 2 cos? 0 – 3 cos 0 + 1 = 0

A: If a·b=0, then using the zero factor property, it can be written that a=0 or b=0.

Q: Find T(1440) (b) 42 (c) 68 *(d) None of these :Select one a d C

A: Let the prime factorization of a number, N be represented as N=apbqcr, then it can be written as τN=...

Q: 6. Recall the transformation from the in-video exercises: „Q' Q. Assuming p and q represent the vect...

A: 2nd option, g.(p×q) is correct.

Q: (a) To handle the system (5) of four equations, Cramer told us that "we will find the value of each ...

A: according to bartleby guidelines we can answer only first question and rest can be reposted. 

Q: (1) Let o, T E S6 such that 45 6 1 2 3 T = 2 3 1 2 3 4 5 6 1 O = 6. and 4 3 5 1 2 6. 5 4 Determine t...

A: according to our guidelines we can answer only three subparts, or first question and rest can be rep...

Q: Maximize z = 8x + 2y subject to: x+y< 4 2x + y <5 x 2 0, y 20 The maximum is at (Give this answer as...

A:

Q: A. Z,Q В. W,Q D. N.Q,W C. I,R С.

A: The set of natural numbers are denoted by the symbol: ℕ. The set of whole numbers are denoted by the...

Q: Determine the type(s)

A: Introduction: A line of symmetry is a straight line that divides an object into two identical halves...

Q: 1 a a? 1 For a real number a, if the system 1 of a a y a? 1 linear equations, has infinitely many so...

A:

Q: Find the order of each element in U(15).

A:

Q: What is v(t,) at t, in the given equation of s below? Also, what is v(t,) if t = 3? s = vt +1 1 1 ; ...

A: Given s=t+1

Q: A cylinder can hold 450 cubic inches of water. How many cubic inches of water can a cone that has a ...

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If yo...

Q: хdу — dy %3D (3x? — 3х)dx — ydx

A: The solution is given as  

Q: Evaluate 3 dx

A: We have to evaluate the integral ∫01 x2ln1x3dx. Observe that there are two functions x2 and ln1x3 in...

Q: 7) Suppose T E L(V) is diagonalizable. Prove that V = null T' range T.

A: We use basis for V and T is diagonalizable.  

Q: =) H in G. List the left and right cosets of the subgroups in each of the following. What is the ind...

A: Definitions: Let H be any subgroup of group G and a∈G The set aH=ah | h∈H is called the left coset ...

Q: Let R be a ring such that for each a e R there exists XE R such that a'x = a. Prove the following : ...

A:

Q: Show that xp – yq = z and x?p +q = xz are compatible and solve them.

A: Then given question is related with partial differential equations. We have to show that xp - yq = z...

Q: Orlo uses a spook of wire to make 15 necklaces. Ay this rate, how many spools of the same size would...

A:

Q: What is the value of the constant for the convoluted sea? Acaog Z) =(5X+7y)È+(39-5z)Š+(2x+1.z)l

A:

Q: Use the following vectors to answer parts (a) and (b). 1 - 3 5 V1= V2 12 V3 = 8 -6 h (a) For what va...

A: Let us consider the set of vector v1,v2,v3,.......vn in Rn then any vector v is in the span of v1,v2...

Q: SOLVE the following DIFFERENTIAL EQUATIONS. 1. cos'x sin x dy + (y cosx- 1) dx = 0

A: As per your query the solution of the problem (1) has been done in detail. Follow the next steps for...

Q: 4.3.2 97 -1 is a multiple of 2 for n 2 1

A:

Q: 8:[0,00) → Vx R , g(x)= х

A: Given the function g : [0, ∞)→ℝ, gx=x We have to show that gx is injective and not surjective.

Q: this series is ans. absolute convergent for x < divergent at x=0 none of these conditional convergen...

A: I will use radius of power series and alternating series test.

Q: You are given seismograph readings from three locations: Reading location #1: At A(-2, 3), the epice...

A: Concept: Equation of a circle is: (x-h)2+y-k2=r2 Here r is the radius of the circle and (h,k) is the...

Q: 5) Give an example of an operator whose matrix with respect to some basis contains only nonzero scal...

A:

Q: By using the disk method, determine the integral which gives the volume of the solid obtained by rot...

A: It is required to give the formula for the volume of the solid obtained by revolving the given regio...

Q: Find the units digit of 22000. Show clear work.

A: We have to find the unit digit of the number 22000 i.e., we have to find the last digit of the given...

Q: Problem 2. A player plays a game in which, during each round, he has a probability 0.45 of winning $...

A: Given: Let us consider the given,  During each round, the player participates in a game.He has a 0.4...

Q: If f (x,y, z) = x+ 3yz² then gradf at (1, 1, 1) ans. i+j+ 2k 31 + 3j + 6k 31 + 3f + 3k none of these

A: The solution is given as