Suppose that the weight (in pounds) of an airplane is a linear function of the amount of fuel (in gallons) in its tank. When carrying 25 gallons of fuel, the airplane weighs 2145 pounds. When carrying 45 gallons of fuel, it weighs 2261 pounds. How much does the airplane weigh if it is carrying 60 gallons of fuel?

Q: 3. For the function y = 27 (3) identify the following: i) Domain: ii) Range: iii) x- and…

A: Given function:- y=27(1/3)x

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A:

Q: Does the series converge or diverge? If it converges, what is the sum? Show n-1 Σ1 -4(-3)"

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Q: (x, y) = ( = ) (smaller value ) (Larger value)

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Q: Enter your solutions as integers. Do not use decimals or fractions. Simplify the following…

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Q: 22. For what values of k does the linear system (5x + 5y = k ( x +y = 3 A. k = 0 B. k = 15 C.k #15…

A: This question is related to system of linear equations, we will solve it using given information.

Q: A=4+J1 and B=2+j3 respectively determine the sum and the difference of the vectors in both…

A: Concept: Complex numbers: Complex numbers are two-dimensional complex or s-plane points that are…

Q: 1.) h(t) = + h(t) = + ²-6 + + 9 a. Find all real of the Polynomial function. b.) Determine whether…

A: Given problem:- h(t)= t2-6t+9  find:- Find all real zeros  Determine whether all zeros are even or…

Q: 12. Find the fifth number in this set so that the mean is {3, 9, 2, 1, x}

A: Given problem:- Find the fifth number in this set so that the mean is 4. {3, 9, 2, 1, x}

Q: 12. Consider the function f(x) = -3 x 2x a) Construct a table of values for the function. Use an…

A: Given problem:- Consider the function f(x) = = −3 x 2x   a) Construct a table of values for the…

Q: Find the singular values of the matrix. [8] Select one: O A. 81,64 OB. -81,64 OC. 9,8 O D. -9,8

A: To find the singular values of the given matrix. -9008

Q: 15. Giovanni bought 30 shares of Stock XYZ at the close price of $6.31. He bought 30 more shares a…

A: This question is related to algebraic operations, we will solve it using given information.

Q: complete drawings Currently her portfolio contains 50 drawings. How many will she have 12 months…

A: We can find the total drawing at the end of 12th month as below.

Q: 9. A map scale indicates that 2 cm on the map corresponds with 5 actual kilometers. How many…

A: Answer :-  A map scale indicates that 2 cm on the map corresponds with 5 actual kilometres We have…

Q: Find the fifth and sixth term for the :following function an 1-(-1") n³ A) 2/125,0 O B) 2/125, 2/750…

A: To find the fifth and sixth term of the given function.

Q: 4. Ben sold tickets to a play. He sold Gold seats for $8 each and Silver seats for $3 each. He sold…

A: 4.Ben sold tickets to a play.He sold Gold seats for $8 each and silver seats for $3 eachHe sold a…

Q: 1. If 40% means 40 parts out of 100 parts... a. Precisely state what 105% means… b. Convert 105%…

A:

Q: a) The ratio 20 minutes to 1 hour can be written in the form 1: n. Find the value of n. n = b) The…

A:

Q: Show how to make the expression 37 40 17 15 X 80 37 +X is easy to evaluate without a calculator. 30…

A:

Q: -20 -10 -20- 10- --10- -20- -30- (0, -16) 10 20

A: The distance between the points x1,y1 and x2,y2 is given by the distance formula: (x2-x1)2+(y2-y1)2…

Q: Question- Mathab wants to buy a car and is offered two payments options (#1) cash payments of…

A:

Q: 1 and (¹)- 21. The matrix A = (_-¹2) is diagonalizable with eigenvectors (¹) =( Explain why A is…

A:

Q: Use the principles of linear programming to maximize or minimize and interpret the following…

A: See the answer below

Q: 12. Which of the following numbers will NOT satisfy the inequality x² <x? O 2/3 O 1/5 O 2 O 1/2

A:

Q: During the holiday season, Brianna sold scarves at a kiosk in a shopping mall. Embroidered floral…

A:

Q: Find the intervals on which f(x) is increasing and the intervals on which f(x) is decreasing. Then…

A:

Q: Determine whether the function has an inverse function. 14 f(x) = X O Yes, f does have an inverse. O…

A: The given function,       fx=14x2

Q: Graph the parabola. y=x² + 4x+1 Plot five points on the parabola: the vertex, two points to the left…

A: This question is based on parabola graphing by finding it's vertex

Q: QUESTION 15 The interior angle of a regular decagon (10-gon) has a measure of: OA. 18⁰. OB. 36º. OC.…

A:

Q: What is BA if 3 Matrix A = 0 -4 -2 5 -1 6 2 -1] [2 and Matrix B= 3 [1 -1 -5 4 0 2 -2]

A:

Q: a. (b + c) = a.bta.c

A: In this question, we want to prove the distributive property of multiplication over addition.

Q: Help the fix the parabola

A:

Q: Determine where the following function is continuous. x-1 M(x) = 4x²-81 The function is continuous…

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Q: 22. Find the Equation for the following graph. State each transformation. Hint: The parent function…

A:

Q: solve 3x+2=14

A: The solution is given below:

Q: what is the outcome of multiplying the two matrixes (AB) A = [4] B =[-2--1] -3

A:

Q: Select the correct graph of the equation: y = 3a + 1 O O O ka 2 2 y NO 46 2

A:

Q: Juan drove to the mountains last weekend. There was heavy traffic on the way there, and the trip…

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Q: Simplify: + 6m m-3 ? ]m² + 2-[ m m m + 1 - 3

A: This question is related to Simplification of polynomial equations, we will solve it using given…

Q: A function is of the form y = sin(kx), where x is in units of radians. If the value of k is 3.70,…

A:

Q: Factor by grouping (sometimes called the ac-method). 14x²-x-4 First, choose a form with appropriate…

A: Factoring the equation by grouping

Q: oday only, a table is being sold for $273.60. This is 38% of its regular price. What was the price…

A: Topic =Algebra

Q: Find a polynomial function with real coefficients that has the given zeros. (There are many correct…

A: Solution: The polynomial function with real coefficients that has the given zeros is

Q: Ahmed and Rami are finding the surface area of a cylinder with a height of 7 cm and a radius of 10…

A: Here is the solution.

Q: Use the Remainder Theorem and synthetic division to find each function value. Verify your answers…

A:

Q: } 9. (An B)U(EnN)' 10. B'nE'nA'ON'

A:

Q: Choose one value that is in the domain of both y(x) =x2 and y2 = x and that is greater than 0.…

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Q: The monthly rent for the first house is $1,190,$1,190, and the Bainters can expect it to increase…

A: We will find the rent value over time.