Which of the following equations best models this situation? A bicycle tire with a radius of 40 cm and that rotates once every 2 seconds. y = sin x + 40 y = 40 sin(180x)

Q: You win a prize and are offered two choices: Choice A: $0.10 on January 1, $0.20 on January 2, $0.40…

A: Two choices are given. From these choices, we have to identify which one will be used for an…

Q: In a study on the speed of muscle contraction in a certain species of frogs under various loads,…

A: Given: Load = x (in grams) Speed of contraction = v (in cm) The relation between these two…

Q: Timothy invests $5,000 at 17% interest compounded daily for three years.How much does he have in the…

A: topic- compound interest

Q: Pretest: Unit 4 Question 6 of 21 Which of the following is a key property of the linear parent…

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Q: Q4 Given the conservative vector field, F = (sinx +2y²)i + (4 xy +cost)j, evaluate the integral…

A: A detailed solution is given below.

Q: (4) B/ If Ø = (x³y²z) and A = 2xz 1-3y2j+ 3xy²k Find ?у ?х the point (2, -1, 3)? at

A: Given:        ϕ=x3y2z         A=2xzi^-3y2j^+3xy2k^         ϕA=x3y2z2xzi^-3y2j^+3xy2k^…

Q: The general solution to an inhomogeneous second order differential equation is: y = Aer + Bent +ae*…

A: Given problem:- The general solution to an inhomogeneous second order differential equation is:   y…

Q: Solve the linear programming problem. Minimize and maximize P=20x+10y Subject to 5x +9y2 78 5x + 2y…

A:

Q: 3. Solve for the determinant of the following matrix. 1 2 3 3 2 1 4 423 14 1 4 1 3 2

A: To solve the determinant of the matrix.

Q: 4 Given that log m2 ≈ 0.59, log m4≈ 1.18, and log m6~1.525, find log m 4 log m (Type an integer or a…

A: Explanation of the answer is as follows

Q: Evaluate f (6) for f(x) = - 2x + 5.

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Q: Multistep The locations of three ships are represented on a coordinate grid by the following points:…

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Q: 5. Evaluate f(x) = 3x²-3x + 1 for f(-1). a) 13 b) 7 c) 0 d) 4

A:

Q: 1. Prove by Mathematical Induction that 1³ +2³+...+n³ = ‘n(n+1) 2 2 for all integers n ≥ 1 3

A: According to the new guideline if there are more than 1 question then we have to solve only 1…

Q: A firm uses simple exponential smoothing with "a = 0.5" to forecast demand. The forecast for the 1st…

A: A firm uses simple exponential smoothing with "α=0.5" to forecast demand. The forecast for the 1st…

Q: Find the extrema of the following function on the given interval, if they are any, and determine the…

A:

Q: given f(x)=2x2 -5x +14 and g(x)=x-3

A: Given that f(x) = 2x2 -5x +14 and g(x)= x-3. And we find g-1(1/2) . And   f(6) - g(-2) value.…

Q: A closed cylindrical tank of maximum volume is to be constructed. With only 381.7 m^2 of material,…

A:

Q: A-The result of the following limit is 2x² + 3x lim xx0x³ + x + 1 2 O o infinity

A:

Q: Using radians enables you to express the size of an angle as a real number without any units. ✓ The…

A: Use the given conversion from degree to radians.

Q: Use a software program or a graphing utility with vector capabilities to find the lengths of u and…

A: If u=u1,u2,u3 is a vector then u=u12+u22+u32   and unit vector along u is given by…

Q: Each part then takes on average 1.89 minutes per part. Calculate the cost of making one part.…

A:

Q: Find the surface area of the triangular prism. 8 m [?] sq m 6 m 10 m 7m

A: We know that area of triangular prism, A=(Perimeter *length)+(2*base area) That is…

Q: 4x^(2)+10x+4=(ax+1)(2x+d)

A: Given.

Q: -5 -4 -3 -2 6 5 4 3 2 -1 -2 -3 -4 -5 -6 2 3

A:

Q: 2 -1 2 A=(² -¹), B=(5₂²) 3 0 4 -1 2. 3X + B = 2A; where: Determine matrix X. A=|

A: Matrix equation

Q: 6 2, find the following. - V (gof)(x) 2√2(1-2x) X (b) the domain of (gof)(x) in interval notation −…

A:

Q: If z = 2.9+5.6i find the argument of Z. Give your result in degrees to three decimal places with the…

A: Given: z=2.9+5.6i

Q: Solve the linear equation using equivalent equations to isolate the variable. express your Solution…

A: Given.

Q: Rewrite the quadratic function in vertex form (which our OpenStax textbook also calls the standard…

A:

Q: How

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Q: A car starts from rest and its acceleration a after t seconds is given in m/s² (at least for the…

A:

Q: ity The function f is defined as follows. x+5 if-45x1 (a) Find the domain of the function. (b)…

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Q: "Shelly deposits the $2,000 she got as a birthday gift from her grandmother into an account earning…

A:

Q: Solve the following polynomial equation by grouping and factoring. 36y³ – 49y = 0 Enter the exact…

A:

Q: Predict the general term, or nth term, an, of the sequence. 6, 12, 18, 24, 30, ... an=0 (Simplify…

A: Given sequence: 6, 12, 18, 24,....To find: General term

Q: The total revenue R earned (in thousands of dollars) from manufacturing handheld video games is…

A: The total revenue in thousands of dollars is R(p)=-25p2+1500pp is price per unit in dollars.

Q: Use the graphs of f(x) and g(x), shown below, to evaluate the expression. g(f(1)) y y 7+ 6 5 -4 f(x)…

A: given graph fx and gx

Q: the abscissa less the ordinate is one”translate the sentence into an equation

A: Here we use the concept of cordinate geometry

Q: your office is participating in a charity event for a local food bank. You will be making cinnamon…

A: Explanation of the answer is as follows

Q: C-The result of the sin t² lim 1-0 O 0 O infinity 02 O anther answer

A: Find the limit

Q: Let A = d ghi Assume that det(A)=-11, compute the following. NOTE: Enter all values exactly. (b) det…

A: Topic = Determinant As per guidelines , At a time only three sub-parts can be answered. please…

Q: d the area bounded by the graphs of x = y² and x 2 - y²

A: Topic = Area

Q: 3. 00 25] Compute Det 00 4 5 31 -2 1 1 2 2 0 details of your method and computation steps. by…

A: Given:       Matrix =0025004531-211220 Determinant by cofactor expansion:     Subtract row 4…

Q: 6. Choose which of the following are the values of x, y, and z. -2x - y - 3z = 3 2x - 3y + z = 13 2x…

A: A detailed solution is given below.

Q: f(x)=2(x-4)² +2 Parent: Transformations:

A:

Q: The radioactive element carbon-14 has a half-life of 5750 years. scientist determined that the bones…

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Q: The area of a rectangular wall of a barn is 176 square feet. It's length is 6 feet longer than twice…

A:

Q: Find the following limit without using a graphing calculator or making a table. 3x4h - 2xh² lim h→0…

A: topic- limits

Q: Following the birth of a child, a parent wants to make an initial investment P, that will grow to…

A: Compound Interest formula (compounded continuously) : A = P0 er·t where A is the final amount, P0 is…