Use the following information to answer the next two questions. At a local restaurant, the following items are available from their breakfast menu. Beverage Fruit Pastry Doughnut Coffee Banana Juice Muffin Orange Tea Croissant Grapes Banana Bread Watermelon Cinnamon Bun Grapefruit Pineapple Papaya 1. If the breakfast consists of 1 drink, 1 pastry, and 1 type of fruit, then the number of possible breakfasts that can be ordered is: 2. If the breakfast consists of 1 drink, 1 muffin, and 3 different types of fruit, then the number of possible breakfasts that can be ordered is: 3. A magazine publisher is planning a photographic layout to show how 90 different outfits are possible combining 1 shirt, 1 jacket, and 1 pair of pants. If 3 different jackets and 6 styles of pants are used for the photographic layout, determine the minimum number of different shirts required to show 90 different outfits. Use the following information to answer the next two questions. Five grade eleven students and 6 grade twelve students are trying out for the school running team. The school team will only take 4 students. 4. Determine the number of teams that can be made if there are no restrictions. 5. Determine the number of teams that can be made if there must be at least 3 grade twelve students.

Q: can you please write this part in handwriting? the characters are in different format so im having a…

A: Solution

Q: Chapter 9.4, Question 8 What single payment today would replace a payment of $5000 in one year and…

A:

Q: [*f(x) dx = Given that $f's is 54 wha f(w)dw

A: Properties of Integral 1. ∫abf(x)dx=-∫baf(x)dx 2. ∫abf(x)dx=∫abf(w)dw

Q: Evaluate LU'(3-2x) [f'(3-2x) - 4] dx.

A:

Q: 3. Find the lim f(x) and lim f(x) of the following function x →∞0 x→-80 1. f(x) = (2-₁)(²) x+11 5+2…

A:

Q: Write the numeral as a Hindu-Arabic numeral. XMDCCXXVI XMDCCXXVI =

A:

Q: Let D be the region enclosed by y = 6x, y = x and x = 5. The volume of the solid formed by •…

A: This is a problem of volume under rotation.

Q: (c) A third tower is located at Heights Barn Hill. Let DEF represent the points on the map for…

A:

Q: Solve the following system of equations by determining the inverse of the matrix of coefficients and…

A: As per Bartleby's answering policy, we can answer only one question with a maximum of three subparts…

Q: (a) Consider the contour plot for f(x, y) shown below. Use the contour plot to determine the sign Y…

A: Sign of partial derivative depends on contour increasing or decreasing . So we will draw direction…

Q: 1. Determine the eigenvalues and the eigenvectors of the matrices a. (19) b. (-²1)

A:

Q: circles, C1 and C2, are drawn such that the area of the first, A1, exceeds the area of the second,…

A:

Q: If M is an upper triangular matrix with integer entries then its eige Select one: O True

A: Introduction: A triangular matrix is a square matrix with all zeros below and/or above the diagonal.…

Q: Find the area bounded by the curve y = x³ and (a) the lines y = 0, x = 2, (b) the lines x = 0, y =…

A:

Q: Use coordinate geometry to prove the statem If the midpoints of a trapezoid are joined to form a…

A: consider the following trapeziod midpoints of the sides,…

Q: Let -4 4 0 5 -1 0 1 A = and R = 2 2 -5 0 00 2 2 -1 0 0 0 (a) Find a basis for row space of the…

A:

Q: The function f(x) = 4x ln(1 + x) is represented as a power series 8 f(x) = ₂x². Σ n=0 Find the…

A:

Q: Q: Let G=D4, H=. Then find the following a) Is G cyclic group? b) Find all left cosets of H in G. c)…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Suppose that f has a point of inflection at (c,f(c)). Which of the following is not possible? a) f…

A: Follow the steps.

Q: [.gl g(x,y) de L L is curve arc y = 1 x², from (0,0) to (1,0.5) and g(x,y)=x 2

A:

Q: Find the highest point, low point and saddle point (if any) of the f(x, y, z)=3x² + 2xy + y²

A:

Q: S Sifoo-gool dx O d2 (f.g) = Sup {/fox) - gox|} V£₁9 € [0₂4] if d, (fig) = Find Ⓒd₁ (√x,x) @d₂…

A:

Q: Use Simpson's Rule with n = 4 to evaluate [² (t³ + t) dt

A:

Q: Let Us Assess Take your time and study the figure below. Show your solution in calculating its area.…

A: Let us consider the rectangle of length L and breadth B  The area of rectangle is obtained as Area…

Q: rage sales per agent per month from March to May target? Answer: % Which one is the category with…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: Using the given data. Compute f"(1.4) at O(h2) using h=0.4. X у 1.0 2.9170 1.2 9.2005 1.4 20.5173…

A: Consider the given table, x 1.0 1.2 1.4 1.6 1.8 y 2.9170 9.2005 20.5173 38.0675 63.0511 The…

Q: 2. (Short-run costs, Evren wants to go into the donut business. For $500 per month he can rent a…

A:

Q: (−1)n+1 χη 1 and Σ η n=1 3mnaan n=0 Do these series converge uniformly on any of the intervals [-r,…

A: Given series are ,                                          ∑n=1∞-1n+1nxn  and   ∑n=1∞13nn2xn  Note…

Q: Use Newton's Forward and Backward formula to find the interpolating polynomial of degree which…

A:

Q: Exercise 4J 1 In a town three schools A, B and C are located at the points with coordinates A(1, 3),…

A: Given that, A, B, C  are three school located at the points with coordinates A1,3, B6,4 and C6,1.…

Q: By 28(1 + i√3) solve all of its z-values if it is raised to 14.

A: Solution : To find, 28(1+i3)14 =56eiπ3+2nπ0.25 where, n∈ℤ n=0,1,2,3 =2.74eiπ12+nπ2

Q: 1. Consider the system X(t) = AX(t) where A = ( a) - (1) ª and a a constant. (a) For which values of…

A:

Q: a. Let A be an p × k matrix, with columns a₁, A2, . ...,ak. Let x = (X1, X2, ... Xk) be a vector in…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Exercise 14. Let Z be the set of integers and R be the equivalence relation on Z such that [0] =…

A: We have an equivalence relation 0=3k: k∈Z Now, 0=3k: k∈Z=....., 3-2, 3-1, 30, 31, 32, ....=.....,…

Q: 8. Prove that if G is a group of order 60, then either G has 4 elements of order 5, or G has 24…

A: As per the policy, we are allowed to answer only one question at a time. So, I am answering second…

Q: Use the Sales information above to answer this question. What is the expected profit if Jesaki Inc.…

A:

Q: Calculate 26 where z = 1 − 2j. [Hint: Pascal's triangle.] Calculate z¹0 where z = √3-j. [Hint: Use…

A: To obtain the solution, use the following formulae. Pascal's triangle:…

Q: Make sure that the set {(-1, 1), (3, 0), (2,5)} generate R²

A:

Q: A pencil cup with a capacity of 33 in.3 is to be constructed in the shape of a right circular…

A: Volume of the cup (V) = 33 in3  Material for sides costs = 29 c/in2  Material for base costs = 46…

Q: Maciek swims in a 25 m long pool. At one end of the pool the depth is 3 m, and at the other 1.5 m.…

A: Given: Length of  pool BE=25m To find: Capacity of pool

Q: The figure below is a net for a right rectangular prism. Its surface area is 208 m² and the area of…

A: In this question, the concept of area is used. The area of the missing edge and dimension of the…

Q: h that y(t)=x(t)h(t) (1

A: It is given that: xt=ut+2ht=e-2tut

Q: Q3. a) (i) Evaluate the following integral using integration by parts Se²x co e²x cos (2x + 2)dx…

A: Dsclaimer: Since you have asked multiple question, we will solve the first question for you. If you…

Q: VIMAAA ALUCDRAI ESCAPE B Function Bank b(x) = -5x² +18 c(x)==-11 e(x) = -x²-9x /(x)=-22-3x a(x) =…

A: The game is to find and fill values in each columns and rows of the matrix. A set of functions are…

Q: Use (a) bisection method and (b) false position method to find the solution to the following within…

A: Bisection method: It is a root finding technique for a real valued function by repeatedly dividing…

Q: B. For the figure shown below, find the sum of the areas of all the semicircles. 245

A: There are two bigger semicircle of radius 1/2 each has area [π(1/2)2]/2 = π/8 There are four…

Q: 1. With x= -0.60, x= -0.55, x= -0.50, x= -0.45, x= -0.40, x= -0.35, x= -0.30, find f"(-0.45) using:…

A: According to rule of bartleby we can solve only first main question or three sub question of first…

Q: b) Find the probability that a 3-digit hexadecimal number with repeated digits allowed contains only…

A: