A survey was conducted of 115 college students at to which of the fast food places they liked. Use the results below to answer the questions to the right.   ​• 26 liked McDonalds ​•15 liked only Sonic ​•38 liked exactly one of these places ​• 56 did not like Whataburger ​•24 liked​ Sonic, but not Whataburger ​• 14 liked McDonalds and Sonic ​• 8 liked only McDonald   Part 1 ​(a) How many​ didn't like any of these 3​ places? enter your response here   ​(b) How many liked all 3 of these​ places? enter your response here   ​(c) How many liked Sonic and​ Whataburger, but not​ McDonalds? enter your response here

Q: Type a digit that makes this statement true.795,49 is divisible by 8.

A: The objective of the question is to find a digit that makes the number 795,49_ divisible by 8. The…

Q: Use the shell method to write and evaluate the definite integral that represents the volume of the…

A: Given that the solid generated by revolving the plane region about the x-axis:…

Q: Find the value of b so that the point x = (13, b) belongs to the boundary of the set U = {x=R² : x₁…

A:

Q: Suppose f(x) = 7x³ + 6x² + 5. Which of the following are true? Select all that apply. As x→∞, f(x) →…

A:

Q: Explain why the function is discontinuous at the given number a. F(x) = { ex lim f(x) = X-0- lim…

A:

Q: Given cost and price (demand) functions C(q) = 150q+45,900 and p(q) = -2.9q +880, what price should…

A: From the given data,what price should the company set to earn $40,000 in revenue?

Q: lve the associated Euler–Lagrange equation for the functional.

A: The associated Euler-Lagrange equation for the functional isLets solve it.

Q: Convert the augmented matrix 4-5 31 -3 10 -1 -2 3 to the equivalent linear system. Use x1 and x2 to…

A: The argument matrix[−1503−15]The matrix form[−10−1][x1]=[535]A3×1X1×1=b3×1To the equivalent linear…

Q: 4- Find the volume of the region in the first octant bounded by coordinate planes x+y=1, y + 2z = 2

A:

Q: 2π 365 A city's daily high temperature, in degrees Celsius, can be modelled by the function t(d) =…

A: Given that,A city's daily high temperature, in degrees Celsius, can be modelled by the functionwhere…

Q: 2. Complex Numbers: Show that for any two complex numbers, A₁ = a₁ + b₁j and A₂ = a₂ + b₂j, where…

A: The objective of this question is to prove the properties of the modulus and argument of the product…

Q: Volume Discount Jester Apparel sells custom promotional shirts. The table below shows the volume…

A: Given, Jester Apparel sells custom promotional shirts. The table below shows the volume discount…

Q: Use a Maclaurin series in this table to obtain the Maclaurin series for the given function. f(x) = 3…

A: Given that the function is:                      To find the Maclaurin series for the given…

Q: Directions: Determine whether the following integral is divergent or convergent. • If it is…

A: If the limit exists and is a finite number, we say the improper integral converges

Q: [Select] and [Select] the behavior of functions that are unbounded near x = a. asymptotes help…

A:

Q: Which of the following functions f has a removable discontinuity at a? If the discontinuity is…

A: We have solve the given problem.

Q: Solve the system by using elementary row operations on the equations. Follow the systematic…

A:

Q: h If the ratio of the measures of a pair of corresponding sides of two polygons is 3:4, then the…

A: (h) The given statement is False.For example, We take two similar triangles as our polgons whose…

Q: For each of the following two proofs, outline the proof and fill in any details that will make the…

A:

Q: Let a, b, r, s be given constants with a and b nonzero. Prove that the arithmetic progressions {ax +…

A:

Q: Directions: Use the Trapezoidal Rule to approximate the following definite integral using n = 3. Use…

A:

Q: Prove by induction that the sun of the first n terms of the sequence 17,20,23,26 is given by the…

A: The given sequence is .The sum of the first  terms of the sequence is .The aim is to prove the sum…

Q: Determine the real numbers a and 3 such that the unit vectors i, i and a × b are orthogonal, where a…

A:

Q: The Fibonacci sequence is defined by Fi = F = 1 and F. - F-1 for n>2. Show that F, is even if and…

A:

Q: Verification For each differential equation, verify by differen. tiation and substitution that the…

A:

Q: (c) It is known that the sum of a geometric series is given by Σark k=0 for r < 1. Use this fact to…

A:

Q: Tim is buying pizza and salad for a company lunch. Suppose that a slice of pizza costs $4.00, and a…

A:

Q: 5) For the following linear time-invariant 2ND order homogeneous ODE solve for the particular…

A:

Q: Use the following graph to find a d > 0<\x_q<8⇒\ƒ(x)− L| < ε 4.2 4 3.8 2, -1 0 f(x) = 2√x+1 xo = 3…

A:

Q: Solve the following system using augmented matrix methods: -2x+4y= -14 4x - 7y= 25 (a) The initial…

A:

Q: . Let seven alphabets be drawn at random one at a time with replacement from a to z. Suppose that…

A:

Q: b) Calculate the Laplace transform of the piecewise function in figure 1. f(t) 2 0 0 1 2 3 Figure 1…

A:

Q: Use the shell method to write and evaluate the definite integral that represents the volume of the…

A:

Q: The statue of Smokey the Bear is a landmark in Revelstoke. At 8.3 m from the base, the angle of…

A:

Q: 2.3 Q14

A: The objective of this question is to find the limit of the function f(x) as x approaches 2, given…

Q: - 2y' + x = 0

A:

Q: Determine the value(s) of h such that the matrix is the augmented matrix of a consistent linear…

A:

Q: b) Find a series and a polynomial solution of the differential equation: (1-x²)y" - 2xy' + 20y = 0.

A:

Q: Find the Fourier Transform of f(s) = e-ax= a >0

A: The Fourier transform of a function  is given by :

Q: Find the limit, if it exists. (If it does not exist, enter NONE.) lim (5x + x - 3) I-3

A:

Q: okay but your solution clearly has a union symbol between the intervals so why isnt it union of two…

A: Given function is Noted that domain of  is obtained from Now let ,

Q: Let p = (5, 2, 1) ER³ and let ƒ : R³ → R be a C¹ function such that af af 2x1 ƒ(p) = 3, f (P) =…

A:

Q: _y"+y' = 0

A: To find the complete solution for the differential equation  using reduction and then the First…

Q: 2. Let [0, 1] = {ƒ : [0, 1] → R : f is a bounded function on [0, 1]}. Let ||f||∞ := := sup f(x)|…

A:

Q: Let Verify that H is hermitian. Find its eigenvalues. H = 1 1+2 - i 0 Find and normalize the…

A: A  matrix is given by:

Q: In Exercises 31-34, find the vector which, when translated, represents geometrically an arrow…

A:

Q: 2.3 Q13

A: The objective of this question is to use the Squeeze Theorem to show that the limit as x approaches…

Q: Directions: Determine whether the following integral is divergent or convergent. If it is…

A:

Q: A number L is called a common multiple of m and n if both mand n divide L. The smallest such L is…

A:

Q: A particle moves along the x-axis so that its position at time 0 < t < 18 is given by x (t), whose…

A: point of inflection at the position  mean  that is that point changes it's concavity around the…