Biologists have noticed that the chirping of crickets of a certain species is related to temperature, and the relationship appears to be very nearly linear. A cricket produces 117 chirps per minute at 65 degrees Fahrenheit and 172 chirps per minute at 87 degrees Fahrenheit. (a) Find a linear equation that models the temperature T as a function of the number of chirps per minute N. T(N) =

Q: 13. Find a function f(y) with the property that: for each = f(y), the limiting value lim, y(r)…

A: dydx=fylimx→∞yx=3y0>0

Q: Prove that f is continuous if and only if for every closed set CCR, f-¹(C) is closed.

A:

Q: 2. A) With the function f (x) = log2 ×. Uses the reciprocal properties of a function to trace the…

A: Given the function is fx=log2x Note: We are allowed to solve one question at a time

Q: 4) Show that the average degree of a vertex in the triangulation is strictly less than 6.

A: 4. Suppose T be a triangulation having n vertices where: n>3. Each face is surrounded by 3 edges.…

Q: A half range periodic function f(x) is defined by sin, 0<x< 1, i. Sketch the graph of even extension…

A: Given  A half-range periodic function is given by f(x) =sin x0&lt;x&lt;π21π2&lt;x&lt;π (1) To sketch…

Q: SO {-8, 7, 8}___ {-8, -7, 7, 8} -8, 7, 8) {-8, -7, 7, 8} Is tru

A: The symbol '⊆' denotes 'a subset of ' for example if A⊆B means a set A is a subset of B, i.e. all…

Q: 4. Let X = {(t,co): te R} U {[t, oo): te R}. Consider the binary relation C on X, that is, a Cy if…

A: 4. Let X = {(t,∞) : t ∈ R} U [ t , ∞) : t ∈R }. Consider the binary relation⊂—that is, x ⊂ y if and…

Q: Consider the following graph of f(x) 1 lim X→-|- - Tim x →> -1 + 3 lim. X→→I f(x) = f(x). f(x) 1 4…

A:

Q: (2) Give an example of a universal set U and a set A so that U is infinite and A is infinite and A…

A:

Q: Find the amount (future value) of the ordinary annuity. (Round your answer to the nearest cent.)…

A:

Q: Preview Activity 5.4.1. In Section 2.3, we developed the Product Rule and studied how it is employed…

A:

Q: The prices of the 21 top-rated 28-inch direct view television sets are as follows. $330 $500 $430…

A: The Quartiles formula is defined as the set of other observations divided into four equal parts. The…

Q: A college basketball team had a photographer take time-lapsed photos of a free throw to get…

A:

Q: Find the accumulated amount after 4 years if $2500 is invested at 4%/year compounded continuously.…

A: InvestmentP=$2500 Time t=4 year Rate of interestr: 4%/year compounded continuously

Q: 3. Give an example of sets A and B and a universal set U such that A c B. Find A and B.

A:

Q: TABLE 2 Some Useful Summation Formulae. Sum Closed Form " Dark (r = 0 k=0 " Sx, x < 1 k=0 -1 Skxx <…

A: Answer given below.

Q: Construct a truth table for the given statement. ~PA (P→q) Fill in the truth table. q T F T F et р T…

A: The aim is to construct the truth table for the given statement          ~p∧(p→q) The table has been…

Q: Let A = [a₁ a2 (select all that apply) www an ] be an m x n matrix. Which of the following is/are…

A:

Q: Marc has 45 slices of chocolate cake and 36 slices of strawberry cake. He wants each of his guests…

A: Solution

Q: (t². 0<t<1 1<t<2 2<t<3 5) x(t)=3-t, t+1

A:

Q: Exercise 1.9 Consider the following subspaces of R³: V₁ V₂ = ((1,0, 1, 1, 0), (-1, 1, 0, 0, 1), (0,…

A:

Q: This is the prompt for the question:   For this Big Problem, we’re getting really really big:…

A: As a language model, I do not have personal preferences. However, one of the most interesting and…

Q: A survey was conducted among 74 patients admitted to a hospital cardiac unit during a two-week…

A:

Q: A fish tank initially contains 35 liters of pure water. Brine of constant, but unknown,…

A:

Q: if I had a bill of $16.00,and I wanted to add a tip for 15% how much is my bill now

A: Given that Bill amount = $16.00 Tip percentage = 15%   .

Q: Suppose that these rabbits behave exactly like the Fibonacci rabbits (see lecture notes and section…

A: In this solution, we will explore the behavior of rabbits that are not fertile in the first two…

Q: Cakulate (3i+2j+k) • (i + zj - k

A:

Q: Consider the following graph. Determine whether the curve is the graph of a function of x. O Yes, it…

A: A graph of the curve is given, we have to determine whether the curve represents a function of x.

Q: Find the 100th and the nth term for each of the following sequences. a. 1, 7, 13, 19, ... b. 50, 80,…

A: As per bartleby guidelines we do only first three subparts and rest part can be reposted as a next…

Q: Prove that for all n in J, 1 + 3 + 5 + • • • + (2n - 1) = n2

A: We have to prove 1+3+5+....+2n-1=n2

Q: = {1, 2, 3, 4, 5...}. Make sure to enter them in increasing order, separated by cor = {x € N: x < 6…

A: Remember in a set 'and' represents intersection, and 'or' represents union.

Q: Suppose A and B are nonvoid, bounded, disjoint subsets of R. Mark all of the properties that must be…

A: A and B are nonempty bounded disjoint subset of ℝ

Q: any vertical or horizontal asymptotes

A: Given graph

Q: (1) Give an example of a universal set U and a set A so that U is infinite and A is infinite and A…

A:

Q: What is the (unique) solution to the system when all the non-basic variables are set to 0 once in…

A:

Q: We want to compare two motion sensors based upon their signal levels and moving settings. For a…

A: S1=00+0.520+0.6540+0.8560+180+1100S2=00+0.4520+0.640+0.860+0.9580+1100 Note: We are allowed to solve…

Q: Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A = {1, 2, 4, 9}, and B = {2, 6, 8}. Find the set An B. AnB…

A:

Q: Graphs off and g are shown. 1 8 Is feven, odd, or neither? even odd neither Explain your reasoning.…

A:

Q: Find the area of the triangle in the plane with vertices (3, 2), (7,3), and (6, -7). Area = 0

A:

Q: Find the equation of the line passing through the point (-1, 3) and has a gradient of 5 Select one:…

A: The equation of a line is the relation between the variable y and the corresponding variable x. The…

Q: 3. Given the matrices below. Find the answer of: [A][B]+[C]T [4 3 A = 1 2 L2 0 71 [1 6 B = 7 4] 5 1…

A:

Q: LL Pea stores clothes at five different locations. Severaltimes a day it sends an “order picker” out…

A: The scenario of the order picker of clothes of LL Pea stores is given.We need to describe a TSP that…

Q: During each of the next two months you can produceas many as 50 units/month of a product at a cost…

A: Given: The scenario of the production of a product is given.We need to formulate a balanced…

Q: For any binary relation ▷ on a set X, define the binary relation by letting xy we do not have ▷y.…

A: Given that ⊳ is a binary relation on a set X. Now define a relation ⊳ as follows: x⊳y if and only if…

Q: A middle school counselor, attempting to correlate school performance with leisure interests, found…

A: From the venn diagram,      No of students who watched movie A               = s + t + v + w = 34  .…

Q: (b) Let A € D(RP) and suppose f and g are integrable on A. Let g(x) ≥ 0 for all x € A. If m = inf…

A:

Q: (1) Let's practice making new sets out of old sets! Say A = {chocolate, vanilla, strawberry} and B =…

A: Q1 (C) asked and answered.

Q: (111) Lim x-57 3 3 ³√x-5

A: The objective is to find the value of limx→5-3x-53

Q: In computer graphics and perspective​ drawing, we need to represent objects seen by the eye in space…

A: Given Data: Let us consider the given data, Suppose that the eye is at Ex0,0,0 as shown here and…

Q: PLEASE ANSWER THIS WELL EXPLAINED AND CALCULATED. Using the factor theorem, determines the…

A: f(x) = x3 - 4x2 + x + 6        = x3 - 2x2 - 2x2 + 4x - 3x + 6        = x2(x - 2) - 2x(x - 2) - 3(x -…