The distance between the centers of three circles which are mutually tangent to each other externally are 10, 15, and 20 m, respectively. What is the area of the smallest circle?

Q: y 3| 1. Let f(r, y) give the population density, in thousands of insects per square mile, at the…

A:

Q: Given f (x) = (x- 1) (H) find f %3D (22 + 2)

A:

Q: Find (fo g)(x) and (g o f)(x). f(x) = 7x - 1, g(x) = 6 – 4x (f o g)(x) = (Simplify your answer.)

A:

Q: 8. What is the value of seasonal index for month 1, year 3?

A: 8. From the given information, year Month Sales 1 2 5.35   3 4.48   4 6.76   5 7 2 2…

Q: m #2: A maintenance firm has gathered the following information regarding the failure mechanism for…

A: 2) Answer:- Given data table is,    Gas leaks (yes) Gas leaks (No) Total  Evidence of…

Q: Please show step-by-step solution

A: Option (d) is the correct option. Consider the area of the rectangle.Differentiate area w.r.t to…

Q: Express z 14/2(cos135 + isin 135) to it rectangular form.

A:

Q: Consider the function f(x) x° + x2 - 4 4.x = x +1+ Note that x2 – 4 x2 – 4 22(x2 – 12) (x² – 4)²…

A: Given: f(x)=x3+x2-4x2-4=x+1+4xx2-4, f'(x)=x2x2-12x2-42 and f''(x)=8xx2+12x2-43. To find: a) All…

Q: I. Classify each triangle according to sides and angles: 1. 2. 3. a. b. a. b. a. b.

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

Q: Write an equation in slope-intercept form for the line shown. (12) 12) 4- Pick pi pon -4 A) y = 4x -…

A: Find the equation of the line

Q: 2. Use f(x) = log, x to answer the following questions. (a) What is f9)? What point is on the graph…

A:

Q: Which of the following solves the equation ax - k = 3(x+h) for x in terms of a, k, and h. Show the…

A: Option 1 is correct.

Q: 3. In physics the following formula relates your distance above the ground, d, relative to how long,…

A: Given , in physics the tollowing formularelates your distance above the ground d,relative to how…

Q: Consider the curve with parametrization given by: r(t) = (-4 cost, 4 sint, 8t) Now re-parametrize…

A: Given Data: Let us consider the given curve with parametrization given by, rt =-4 cost ,4 sint , 8t…

Q: Activity 3: Find Me! To further strengthen the foundations in solving permutations, you may search…

A: 1) the covered walk of a school is to be lined with flags. how many different arrangements are there…

Q: 13. Find the solution to the equation: √x-2=5 49 A) B) 7 C) 2.645751 D) There is no solution to this…

A:

Q: Consider the functions f: R² → R² given by f(x, y) = (3y - 5x, x³) and g: R² → R² given by g(v, w) =…

A:

Q: What is the area of a pentagon circumscribing a circle with radius 5m

A:

Q: Please explain the solution in a clear manner, step by step.

A: To evaluate the required quantities to the desired accuracy

Q: Find the indefinite integral. sinh(8 – 7x) dx

A: From the given problem: I=∫sinh8-7xdx  ....(1) As we know that; ∫sinhxdx=coshx+C

Q: lem #1: A research firm is interested in determining if the blood cholesterol level of a specific…

A: Population mean μ=120Sample size n=1155Sample mean=138Standard deviation=3.5

Q: Show that for n, m e Z+, gcd(2" – 1,2m – 1) = 2gcd(n,m) – 1.

A:

Q: Problem #14T °Each side of a square is lengthened-by 3-inches. The area of the new, larger square is…

A:

Q: Let R* denotes the set of positive real numbers and let f: R+ R+ be the bijection defined by ƒ (x) =…

A: In this solution, we will examine the properties of the binary operation ⊗ on the set of positive…

Q: 15-16. Solve the systems of equations by Gaussian Elimination. Also determine the inverse of the…

A: The given system of equations is -…

Q: 3. Let's assume you have a dataset as given below. Perform second order Lagrange interpolation and…

A: Lagrange's Interpolation formula x f(x) 1 0.1411 1.3 -0.6878 1.6 -0.9962 1.9 -0.5507…

Q: 2. How many unique 3 digit codes can be created from the 5 digits {1, 2, 3, 4, 5} if repetitions are…

A: A permutation of a set is defined as an arrangement of its members into a sequence or if the set is…

Q: Problem 2: Given the function f(x) = x + 6x² + 12x - 8, determine the intervals of x where f is…

A:

Q: Determine the minimum sample size if the Margin of error is 0.045, with confidence level 95%, and p…

A:

Q: Question-2: You are interested in determining what factors influence the price of a stock. After…

A: Given, Y is the stock price, X1 is the quarterly dividends, X2 is the price/earnings ratio and X3 is…

Q: Please explain the solution in a clear manner, step by step.

A: We have to find measure of angle A in degree.Where AC and BC are measured in feet and inches .sides…