A research scientist estimates that the human body contains 88 pounds of water for every 100 pounds of body weight. At this rate, estimate the number of pounds of water in a college student who weighs 150 pounds.

Q: The area of a circle is a function of its radius, and is given by  A(r) = ?r2. (a)  Find the area…

A: Given r = 4 inches

Q: Prove or disprove following statements: 1. The sum of an integer and its square is even.

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Q: 3 Divide and reduce to lowest terms. 5-- 1 Ե 16

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Q: F(x)=2x²² - 4x f(0) = 2 (0)² -4 (0) F(1)=2(1) ²-4 (-2) F(2): 4

A: The given function is f(x)=2x²-4x

Q: Consider the universal set R, define the interval A = [-7, 1], interval B = (-1,2), and C be the…

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Q: Evaluate the following expressions when a is 4 3a+5

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Q: 88. The amount of garbage, G produced by a city with population p is given by G = f (p). G is…

A: Note:-Since you asked multiple questions, according to our policy we can answer only first the…

Q: The function y₁(x) = sin(x4) is a solution to the differential equation xy" - 3y + 16x7y = 0. Use…

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Q: Given the functions f(x)=x²-x, g(x)=√x 14. (g-f)(A) find expressions for the following:

A: The given functions  and .The aim is to find the expression for .

Q: n assembly line with 17 tasks is to be balanced. The longest task is 2.4 minutes, and the total time…

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Q: Give the equation for each graph. -5 3 -2 -2 -5 -4 -3 -2 -1 -1 -2- -3- 1 5 4- -2 -3 4 3 2 1 51 4 3 2…

A: Equation of Straight Line is given as follows Where m is the slope of the line c is the vertical…

Q: There are four fountains in a park. The first fountain sprays water every 5 seconds, the second…

A: We will use given data to find the required time.

Q: What are the rules for deteriming significant digits?

A: The rules for determining significant digits are:1. All non-zero numbers are significant   eg: The…

Q: y"+ 4y= 5 cos(3t), y(0) = 1, y'(0) = 1.

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Q: Line 1: Passes through (0, 7) and (2, -13) Line 2: Passes through (-1, 12) and (6, -58) slope of…

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Q: A bacteria culture starts with 580 bacteria and grows at a rate proportional to its size. After 5…

A: Let N denoted the number of bacteria at time t Given Bacteria grows at a rate proportional to its…

Q: Consider the function below. f(x) = (1 - ¹)* (a) Use a graph to estimate the value of the limit of…

A: The given function is .The aim is to find the limit  using the graph and the table of values.

Q: Graph the parabola. y=(x-4)² +3 Plot five points on the parabola: the vertex, two points to the left…

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Q: A college accepted 17 more transfer students last year that second college. Combined,  two schools…

A: A college accepted 17 more transfer students last year than second college. Combined they accepted…

Q: The exponential function h(x) decays at a rate of 65% through the ordered pair (0, 6) and is shifted…

A: We have to find the horizontal asymptote of the function h(x).

Q: (-x if x < -2 4. Let f(x)=x² if-2<x<2 Compute the following function values: (0 if x ≥ 2 a) f(-3) b)…

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Q: Denote the set below by set-builder notation, using x as the variable. {1,3,5,,87) O A. x x is an…

A: given set {1,3,5, .... , 87}

Q: 8.2 Several matrices are defined as follows: A = 47 12 56 £12, and 812 12⁹ B = 437 127 204 6 D- [2…

A: Given: To Find: (a) To find the dimensions of the matrices.(b) To indentify the square,  column and…

Q: Use the Gauss-Jordan elimination method to find all solutions of the system of linear equations. x -…

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Q: Identify the intervals on which the function is increasing and on which the function is decreasing.…

A: The function is increasing if the graph gets higher as it moves from left to right.The function is…

Q: A cyclist is training for an upcoming cycling road race and plans to adjust the weekly training…

A: The given function  models the weekly distance in miles after a given number of weeks .The aim is to…

Q: Suppose f is a function that takes a real number x and performs the following three steps in the…

A: Suppose f is a function that takes a real number x Step ( 1 ) Square root Step ( 2 ) Make the…

Q: Write the system of linear equations in the form AX = b and solve this matrix equation for x. -X1 +…

A: Using Matrix row reduction, we can solve the given system of equations.

Q: Instructions: Determine the area of each shaded region

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Q: Solve the following equations for X, Y, and Z. Show all steps. Report answers to 3 sig figs. 3X + 2Y…

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Q: Express the vector 12 x+ÿ. = [15] as a linear combination of a = 2 1 and y= -17 -2

A: Given

Q: How does duality relate to the concept of symmetry in mathematical problems?

A: The powerful idea of duality frequently exposes hidden symmetries in diverse mathematical theories…

Q: (5) 4. Chose parameters h and k such that the system has a) a unique solution, b) many solutions,…

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Q: Graph and write in interval notation the following: 8. (3,9) U[-2,8]

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Q: Consider the following linear transformation. T: P₂ → R³ defined by T(a + bx + cx²) Find the nullity…

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Q: An electrician earns $176 for each day worked. What is the total of the electrician's earnings for…

A: Given,Daily earnings = $176Number of days worked = 4 1/4 days

Q: 10. Test for the convergence of the series X Answer: Convergent. 1 + x - x² x3 + 1 + x² 1 + x³ - ***…

A: Q 10) Given series is

Q: What is the length of the denim according to the centimeter ruler above? A) 2.5 cm ± 0.5 cm B) 3 cm…

A: To find: What is the length of the denim according to the given centimeter ruler?

Q: State the x-coordinates of the inflection points of the curve below. x = -4 y M... 24 6 8 10 -2 X =…

A: We have to find the inflection points of the given curve.As per the given instructions in the…

Q: Consider the following LP CPF 1 CPF 2 Minimise subject to Determine the feasible corner point…

A: The given Linear Programming problem is we use the graphical method to find the feasible corner…

Q: a) 2y2/3-1/2 - 4y5/6 3/2 where A = = A(1 – B) √z and B =

A: 2y2/3 z-1/2 - 4y5/6 z3/2 =A( 1-B)/sqrt(z)Find A and B.

Q: Complete the identity. sin (20) + sin (40) cos (49)+cos (60) ?

A: given expression

Q: The table below shows the data for the number of pair of shoes produced and the cost incurred by…

A: Total Pairs of Shoes = 150,000Cost:Labor Cost = $60,000Energy Cost = $5,800Raw Material Cost =…

Q: Let A be the set of integers bigger than 3 and smaller than 10 and B the set of positive integers…

A: Solution-Let A be the set of integers bigger than 3 and smaller than 10.A={4,5,6,7,8,9}

Q: Find f(O) for the piece-wise function. f(x) = -2x + 1 if x ≤-1 3x4 if x>-1 f(0) = [?]

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Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If the…

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Q: Consider the following points. (2013, 6), (2014, 8), (2015, 15) (a) Determine the polynomial…

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Q: Identify the elementary row operation(s) being performed to obtain the new row-equivalent matrix.…

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Q: 9 Write the equation of the line in slope-intercept form that passes through (10,-1) and has slope…

A: we have given the line has slope of  and passes through point

Q: What is the inverse of f (x) = 2x + 6? O g(x)= x - 3 O g(x) = 2x - 3 O g(x) = 2x +3 O g(x)=√x +3

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