The variable a is jointly proportional to the square of b and c. If a = 287 when b = 6 and c = 3, what is the value of a when b = 5 and c = 7? Round your answer to two decimal places if necessary.

Q: A bacteria culture initially contains 1500 bacteria and doubles every half hour. Find the size of…

A: Topic - Exponential function We are given  Initial Population of bacteria=1500 Doubling time = half…

Q: D Using the intermediate value theorem, determine, if possible, whether the function f has at least…

A: The objective of the question is choose the correct option.

Q: K Use long division to find the quotient Q(x) and the remainder R(x) when P(x) is divided by d(x)…

A: To find the remainder and quotient by long division method.

Q: Given 16* + 20 = 25*, solve for a.

A:

Q: Draw the graph of f(x) = = 10-9-8-7-6-5-4-3-2 Clear All Draw: (3) ** 5 10+ 165 9 8 7+ t 6- 5. 3 2- 1…

A: Given query is to graph the function.

Q: Write an equation for the function described. A parabola shrunk horizontally by a factor of 1/4,…

A: NOTE: Refresh your page if you can't see any equations. . the given conic section is a parabola so…

Q: what is the solution to the following equation? 3^4x-3 =9

A: Given query is to find the solution of the expression.

Q: Suppose z varies directly with x and inversely with the square of y. If z = 8 when x = 2 and y = 2,…

A:

Q: A spherical weather balloon is being inflated and begins with a surface area of 200 square feet.…

A: Surface area

Q: Determine if the graph can represent a polynomial function. If so, assume that the end behavior and…

A: The given graph is

Q: 4/3 8/3 Evaluate : [sec 4³ x cosec ³¹³ x dx.

A:

Q: The graph shows that the solution to What is the solution to 4= log₂ (x+3)₂ Answer in a complete…

A: Given query is to find the solution of the expression.

Q: The angles that are marked the same are congruent. One mark congruent to one mark; two marks…

A: We can mark the answer in the below steps.

Q: y' + (y + 1) (y-1) (y-2) x + 1 = = 0, y (1) = 0

A:

Q: Draw the graph of f(x) = 3²-1 10+ 9. 8

A: Draw the graph of the  f(x)= 3x-1

Q: (a)the amount of interest earned;   (b)the capital gain or loss;   (c)the holding period yield.

A: Bank Accepted Bills for 120 Days Let us take n=120 Value of the buy = $5 million It is bought on a…

Q: 44 students attended a play in the school theater. If this figure represents 16​% of the total…

A:

Q: Simplify the following expression. Ass (x²/3)2 (x2) 713

A: We need to solve given expression.

Q: Plot the number 15 on the log scale below. + 10-5 104 103 102 101 100 101 102 103 104 105 Clear All…

A: Topic = Algebra

Q: 1.Why is Yasmine's work incorrect? Explain your reasoning below.    2. Simplify 2√(7+√8). Show…

A:

Q: Let S = {(1,2,3), (1, 0, -1), (0, 2, 4)T} CR³. Which of the following vectors is/are orthogonal to…

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Q: OLINES, FUNCTIONS, SYSTEMS Evaluating functions: Linear and quadratic or cubic The functions fand g…

A: We have to slove above question

Q: Determine the form of the partial fraction decomposition of the following rational expression.…

A:

Q: The temperature of an object in degrees Fahrenheit after t minutes is represented by the equation…

A: Tt=68e-0.0174t+70

Q: To make copies of blueprints, vintage reprographics charges a $5 setup fee plus $3 per copy. Myra…

A:

Q: 1. Given the matrices A = a. |A| b. B c. AB d. |AB| 302 e. Verify that |AB| = |A||B| 121 01 1 and B…

A:

Q: The probability of an event is. What are the odds of the same event? O A. O B. 1/1/ O C. 1/ OD. /

A: To find the odds of the event

Q: Use synthetic division to find the quotient and remainder. a. (2x³ 132 +27x+20)/(x-4) b.…

A: Let's find quotient and remainder by using synthetic division.

Q: A train moves at a constant rate. The table and graph below show the relationship between the time,…

A:

Q: Can a function be both a polynomial function and a power function? Explain.

A: Topic:- application of algebra

Q: A ball is dropped from a height of 80 feet. It bounces and rebounds 60% of the height from which it…

A: We have to find the total distance travelled by ball.

Q: Use the long division algorithm to determine the quotient of (2x^4+14x^3+5x^2-21x+9)/(2x^2-3).

A: The answer is given below: Topic: Division of polynomials

Q: For the feasible set in the figure to the right, determine x and y so that the objective function 3x…

A: Check maximum value at feasible set

Q: Find dy/dx of the function y= e3x+2

A:

Q: 3/20a4.3√/4a² als. Assume all variables are greater than or equal to zero.

A:

Q: 5. Determine the missing factor. a) 8xy. )(2xy) b) -6x²= (3x²)( c) 15x¹z = (5x²)) d) -49a²b5 (76³)…

A:

Q: (i) Show that where à = WA, b {wi}/²1. m Σw? ((xWLS + xWLSai) – bi)² = ||ÃxWLS — Ã||², i=1 = Wb and…

A:

Q: What is the domain for the function graphed below?

A:

Q: It takes an older pump 5 times as long to drain a certain pool as it does a newer pump. Working…

A: let newer pump takes x hr older pump takes = 5x hr

Q: Use the given value of k to complete the table for the direct variation model y = kxx² Plot the…

A: Here we have to plot the graph.

Q: Does doubling the base area of a prism double its volume? Use the figure below to help you answer…

A: Given query is to find the volume when base area is doubled.

Q: 3. Evaluate the following given equation using Gauss-Jordan Elimination. 2w+4x+2y+4z=2 y-z=-1…

A:

Q: Enter the missing values in the area model to find 3(2w - 4) 3 2W -12 According to the model above,…

A: We need to find the missing value in the model given in the question as well as try to computethe…

Q: A linear programming problem is one that is concerned with finding the [Select] of a linear [Select]…

A: To complete the following statements.A linear programming problem is one that is concerned with…

Q: lim 1-0 sin3x – sin5x - 3sin2r

A:

Q: Question#1 Solve the following system: дх at əx at = = -2x + y -X

A:

Q: land-line telephone. If the cost of a land-line phone is $59 per month plus $0.15 per minute for…

A: Given query is to find the slope and indicated values of linear function.

Q: What is the slope of the line that passes through the points (-6, 2) and (-6, 10)? Show your work…

A:

Q: Determine if the function f(x)= is not one-to-one, say so. x #5, is one-to-one. If so, find the…

A: Here, the given function is: y=f(x)=x+6x-5 Suppose x1, x2 are such that:…

Q: OLINES, FUNCTIONS, SYSTEMS Identifying functions from relations each relation, decide whether or not…

A: Solution: The domain is the set of all "x" values and the range is set of all "y" values in a set of…