Use natural cubic splines interpolation with the data given below, to calculate the fuel economy at a speed of: (a) 30 mph (b) 65 mph. Speed (mph) Fuel economy (mpg) 10 25 40 55 70 12 26 28 30 24

Q: What is the value of a so that the following System of Linear Equations has no solution, having…

A: Therefore, a = -2 for which given system of linear equations has no solution. The system has…

Q: given... Consider the line y= 8x-6. Find the equation of the line that is parallel to this line and…

A: Here, the given equation of the line is: y=8x-6 which is in slope-intercept form y=mx+c where m is…

Q: -3/ (7+ -4) + -3

A:

Q: ns of this assertion.

A: Exact differentials : Recall that change in internal energy , dv ,is called an exact differential…

Q: Half-Life Decay Rate, k 3.7% per year = -0.037

A:

Q: The​ half-life of a certain tranquilizer in the bloodstream is 37 hours. How long will it take for…

A:

Q: Find the recursive formula. 6) -35, -32, -29, -26, ... A) a = a - 3 n-1 a =-35 В) а %3Dа 3 n-1 a…

A:

Q: 12. Convert from degrees to radians. UseT = 3.14. Round your answer to three decimal places. 47° =…

A:

Q: What is the last step made in copying the length of a line segment AB onto another line? Without…

A: The given question can be solved as shown in step2.

Q: SIDAJOUI 4. (x)=2x-4x2-x Domain: Range: Rel. Maximums): Rel. Minimm(s): End Behavior: As x→∞, ƒ(x)→…

A:

Q: Find all the minors and cofactors of the matrix. 3 -9 (a) minors M11 M12 = M21 %3D M22 %3D (b)…

A:

Q: Consider the following system of equations: 3x + 5y 36 1-4x - 3y - 37 %3D - True or False: The point…

A:

Q: O x' +3x +4

A: Given  x2+3x+4

Q: How many ways are there to select 12 countries in the United Nations to serve on a council if 2 are…

A:

Q: Use the exponential decay​ model, A=A0ekt​, to solve the following.   The​ half-life of a certain…

A:

Q: Why do we change 10 into 5x2 (encircled)? When do we usually do this in solving equations like this?

A: Given query is to elaborate the encircled step.

Q: 8. Use a graphing calculator to determine the linear, quadratic, or exponential equation that best…

A: We will find the answer by following observations

Q: 3.An amount of 1000 becomes 1608.44 after 4 yrs compounded bi monthly determine the nominal and…

A:

Q: Find |A|, IB|, AB, and JAB]. -2 1 B = 6 36 A = 4 -2 -6 (a) |A| (b) |B| (c) AB (d) |AB|

A:

Q: Question 13: Solve the following system of equations a. x + y = 4 b. Зх + 3у %3D 15 x = y +1 2х + бу…

A: a. x+y=4x=y+1b.3x+3y=152x+6y=22

Q: The Closing the Gaps initiative by the Texas Higher Education Coordinating Board established the…

A: here we have to calculate the rate of change of increase student by year rate of increase = (1694247…

Q: The table below shows the value, V, of an investment (in dollars) after n years. 12 14 19 V(n) 3000…

A: To Find: a. Determine the exponential regression equation that models the set of data. b. Based on…

Q: A car rental agency rents 200 cars per day at a rate of ​$20 per day. For each ​$1 increase in​…

A:

Q: Solve for x and y. x + 2 5 18 6 -3 5 18 -6 -3 2x + 6 -6 7 -2 y + 2J 7 -2 X = y =

A: We have to find the value of x and y

Q: SEND + мOR E МONE Y моN

A:

Q: 6. Answer the question by comparing the equation, f(x) = 2 cos (2+4)) +3 to the equation, f() =acos…

A:

Q: 3.  Choose the correct answer. Describe how g(x)=4f(x) transforms the graph of the parent function…

A: Since you have asked multiple question, as per company guidelines we will solve the first question…

Q: Practice Problems 2: Fliminate the arbitrary 1) *- 3x'y = c constants: |

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: Apopulation of fruit flies is growing in such a way that each generation is 1.25 times as large as…

A:

Q: Find the sum of the first ten terms of the arithmetic series. अ -3. d-2 (Simplify your answer.)

A: Solution ) arithmetic sum  = n/2[ 2a  + ( n - 1 ) d ) ]     n = 10 , a = 3 , d = 2 S = 10/2 [ 2 × 3…

Q: For which fields F listed below is the polynomial X + X3 +1 € F[X] irreducible? Select all that…

A:

Q: Find the mean absolute deviation of the data set given below. 20, 30, 50, 80, 20 Write the correct…

A: Given set, 20,30,50,80,20 Therefore,  n= 5 (I.e, number of terms)

Q: Country Day's scholarship fund receives a gift of $ 160000. The money is invested in stocks, bonds,…

A:

Q: Solve the inequality algebraically. x³ - 7x2 - 8x >0 ... List the intervals and sign in each…

A: topic - inequality

Q: Find the inverse of y = log1/5

A:

Q: The exponential model A=994.3e^0.007t describes the​ population, A, of a country in​ millions, t…

A:

Q: 4) .., -12, 108, ... A) 18, 48, 78 В) 18, 47, 76 С) 17, 45, 73 D) 19, 49, 79

A: topic - arithmetic sequence a=first term d= common difference nth term = an=a+(n-1)d

Q: Find the explicit formula. 5) –33, –29, –25, -21, .. А) а %3D-37 + 4n B) а %3D-31 + 2n С) а %3-33 +…

A: nth  term of arithmetic progression is given by, an = a1 + (n - 1)d, where a1 is the first term and…

Q: In each part, determine whether the set of vectors is orthog- onal with respect to the standard…

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: Give the first 4 terms of the geometric sequence with a = 1 and r = 6. Give your answers as reduced…

A:

Q: Two foods contain proteins, carbohydrates, and fats. Food A costs $1 per pound and contains 30%…

A: Solution

Q: Complete the table shown to the right for the population growth model for a certain country.   k=…

A:

Q: Scott's sailboat uses triangular sails. The angle at the top of the sail is half as big as the…

A: topic- angles and triangles

Q: 9) -22, -8, .. ***. А) —15 С) -14 В) —17 D) -18

A:

Q: Show that for any integer n, n² – 2 is not divisible by 3.

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

Q: A combined total of $49,000 is invested in two bonds that pay 4% and 6.5% simple interest. The…

A: Here is the solution.

Q: lems 2: arbitrany tonste

A:

Q: Find the inverse of AB if -1 -2 A-1 3 and [:] -1 -1 B-1 -5 (AB)-1 = 2.

A:

Q: (ab)4 3a'b'(2a² – 7ab + b’) (x+8)(x– 8)

A:

Q: 104,000 The logistic growth function f(t) = describes the number of people, f(t), who have become…

A: