The volume (v) of a sphere varies directly with the cube of its radius (r). If k is the constant of proportionally, which is the formula for this relationship?

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A: A linear equation is an equation whose degree is 1. I.e the power of any variable is no more than 1.…

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Q: Theorem 8 Let p ≤ (0, ³). Then the equilibrium point ã of Eq.(8) is locally asymptotically stable.…

A: Disclaimer: according to you we will solve marked purple part for you.

Q: ·N·

A: We can answer the question as below.

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A: To write the compound statement in symbolic form.

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A: We have to tell which of the following is a valid reason for using common logarithms (base 10 logs)…

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Q: 33. Express in simplest radical form. 3³x¹y O 3√x³y O√3x³y O√81x¹y³ O 81√2y³

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Q: If A=39 and B=17 what does A+B= ?

A: Given, A=39 and B=17 Find A+B

Q: Apportion the forklifts using Hamilton's method. Suppose 1 year later the factories have the…

A: option A is correct answer , explanation is in next step. please give a like.

Q: When using long division to divide polynomials, the first step is to make sure that the polynomials…

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Q: 9. Solve the following system using a matrix and converting the matrix to reduced row echelon form,…

A: To solve the following system using a matrix and converting the matrix to reduced row echelon form,…

Q: The cost of attending an amusement park is $15 for children and $35 for adults. On a particular day,…

A: using matrix, row operation, We can solve the given system of equations.

Q: When doing polynomial long division, what is the remainder when the divisor is a factor of the…

A: The solution is given below

Q: e the following quadratic inequality. -x² + 4 ≤0 mit your answer by dragging the movable blue points…

A: According to our company's guidelines I can only answer first question since you have asked multiple…

Q: (x + 3)² 64 - - (y – 5)² = 1 - Distance from the center to each focus is:

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Q: The half-life of a certain substance is 5.9 days. How many days will it take for 30g of the…

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Q: For the functions f(x) = x² - 2x+4 and g(x) = 3 determine: f(0) 2(x-1)

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Q: vectors are: 3 2 1 4 Vλ=1=-3, V2=3 = 1 2 -5 2 Vλ=-1= 0 -1 1 the given information, answer the…

A: Here given that eigen values  1, 2 ,-1 a. Given matrix is diagnonalizable because all three eigen…

Q: 4. Show that x² + 6 = 6x has a real solution between 3 and 6.

A: To show that x2+6=6x has a real solution between 3 and 6.

Q: [1 + (1 − i)² − (1 − i)¹ + (1 − i)6 − (1 − i)³ + ... - − (1 − i)¹⁰⁰]

A: I have used sumation formula of geometric series.

Q: Complete the table below: Function V(t) = 100(1.08) P(n)= 32(0.95)" C(x) = 5(3) * T (t) = 69(-1)0…

A: Let's complete the given table.

Q: A bank account is growing with continuous compounding at a fixed annual interest rate. The balance…

A: Let's for annual fix interest rate r.

Q: Factor : 3x2-11x-20=0

A: Factor : 3x2-11x-20=0

Q: Determine the inverse of the following function.

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Q: Problem Set D: Write each logarithmic expression as the sum, difference, or multiple of log() 1.…

A: As per Bartleby answering guidelines if a questions has multiple sub parts then an expert is…

Q: Suppose you want to have $300,000 for retirement in 25 years. Your account earns 9% interest…

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Q: Draw the function f(x) by dragging the blue points to the locations on the x-axis that correspond to…

A: As per bartleby guidelines we only give first question answers. Please repost for other parts.

Q: Write the domain and range of the function using interval notation. V

A: find the domain and range of the function.

Q: Solve the polynomial inequality and graph the solution set on a real number line. Express the…

A: Given :

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Q: Given the functions f(x) = x^3 + x^2 - 3x + 4 and g(x) = 2^x - 4, what type of functions are f(x)…

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Q: If 6000 dollars is invested in a bank account at an interest rate of 10 percent per year, Find the…

A: The compound interest formula A=P1 + rnnt Where, A = Amount after compounding period P = Principal…

Q: VnEN+, 5" + 3n > 22n+1

A: In this question we have to prove equality.

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Q: Write an expression in factored form for the polynomial of least possible degree graphed below. 64…

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Q: Instructions: Create the equation of the form y a(b) for the exponential function described in each…

A: Given problem:- Aubree's parents invested $500 into a mutual fund that paid 6.5% interest each year…

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Q: If A² = A and A 0, then A is invertible.

A:

Q: 2.3x² - 10x + 8

A: The given equation is;  3x2-10x+8.

Q: Problem Set A: Solve and check the following equations: 1. 3²x = 5 3. 6*+1 = 10 5. 3-* = 0.525 2.…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Solve log 81 = 4 for x. a. 3 b. 9 C. d. 20.25 324

A: Given the query is to find the value of x.

Q: 5) an = (-1)n 2n sequence

A: To find the first five terms of the sequence.

Q: For an n x n matrix A which of the following statement(s) is (are) true? (a) Cofactor C31 cannot be…

A: Statements a,b,c are given  Find which of the following statements are true

Q: Instructions: Create the equation of the form y = a(b) for the expo described in each real-world…

A: topic:- calculus