The exponential model A = 754.7 e 0.01t describes the population, A, of a country in millions, t years after 2003. Use the model to determine the population of the country in 2003. The population of the country in 2003 was million.

Q: Find the average rate of change of the function g(x)=√6+x from x= a to x=a+h. Simplify your answer…

A: Given queryis to find the average rate of change.

Q: For the following exercises, use synthetic division to determine whether the first expression is a…

A: The given expression will be factor of polynomial if reminder is zero

Q: For the given matrix A, find a basis for the corresponding eigenspace for the given eigenvalue. -30…

A: Follow the procedure given below.

Q: Find the eigenvalues of A, and find a basis for each eigenspace. A: Select one: -2 + 4i,, A.-2-41,…

A:

Q: hris is currently saving $100 a month for college, and he has saved $2,000 so far. Estimated Cost…

A: Please see the below picture for detailed solution.

Q: 5 The function f(x) = is one-to-one. 3+x (a) Find its inverse and check your answer. (b) Find the…

A: Explanation of the answer is as follows

Q: point(s) possible Solve the following logarithmic equation. Express irrational solutions in exact…

A:

Q: If [2x 3] 23 1. 2 13 2. 2 3. 4. 13 11 2 23 2 3] [ 1 2 -3 0 = 0, then the value of x is

A: We can answer the question as below using the properties of matrix.

Q: Solve the system of linear equations and check any solutions algebraically. (If there is no…

A:

Q: Kim Jones, Jan Robinson and Pat Smith are the officers of the spaceship. They serve as the craft's…

A: *Jan Robinson* is Pilot.

Q: Find a set of vectors {ū, v} in Rª that spans the solution set of the equa W - = x = y + 4z 0, 5w+…

A:

Q: 2. (D² - 3D + 2)y=1+x

A: The given differential equation is;  (D2-3D+2)y=1/(1+e-x).

Q: solve the system using cramers rule, please show work/ 2x-2y-z=-20 4x+4y+z=14 6x+3y+4z=8 D= Dx…

A:

Q: Find a polynomial of degree 3 (here ao, a1, a2, a3 are real numbers) such that p(x) = ao + a₁x +…

A: This question can be solved using the concept of solving system of linear equation using matrix.

Q: Find the slope and y-intercept of the line. Graph the line. 3x-2y=6 O A. The slope is (Type an…

A: Given line, 3x - 2y = 6 To be found : Slope and y-intercept of given line

Q: Consider the graph of g(x). y 6- 5.5 5 4.5 4 3.5 3 2.5 2 1.5 1 0.5 (a) Estimate g(100). g(100) = (b)…

A:

Q: 18. Choose the correct answer. Use the values of the vertex and point to choose the correct…

A:

Q: 1 2 0 The product of two matrics 2012 is 10 2x Oi 4 X 2x 1 [4 x 2x] [412] 3. 4

A: This question is based on Matrix multiplication.

Q: 6. In the graph below, what are all values of 2 for which y = 0? T el N N ● - 3, - 1, 0, and 2 O-3,…

A: from the given information in graph we find x intercept or value of x when y is equal to 0

Q: Solve the system of equations {−9x+9y=360 {-5x-4y=-529 by converting to a matrix equation and using…

A:

Q: DeAngelo Bank offers your firm a discount interest loan with an interest rate of 6 percent for up to…

A: We need to find effective annual interest rate.

Q: if 6 seamstresses can sew 15 skirts in 16 hours, how many skirts can 4 seamstresses sew in 8 hours?

A: If 6 seamstresses can sew 15 skirts in 16 hours, then to determine how many skirts can 4…

Q: Model: P=2,320(1.2) The model is used to estimate the deer population in a region, where x is the…

A:

Q: 01. X f(x) 0 0 2 4 4 16

A: We want to find f-1(x), then it's domain and range.

Q: For the given matrix and eigenvalue, find an eigenvector corresponding to the eigenvalue. 26-6] A =…

A:

Q: plesssss

A:

Q: The point (2, 3) is on the terminal side of angle e, in standard position. What are the values of…

A:

Q: 1 1 (c) 1 1 1 Lo 0 1 32 2 1 -2,

A:

Q: Exercises 1050-112: Use the tables to evaluate the following. X 0 1 2 3 f(x) 1 3 4 X g(x) 105. f-¹…

A: Given the table is x 0 1 2 3 4 f(x) 1 3 5 4 2

Q: Verify that λ, is an eigenvalue of A and that x; is a corresponding eigenvector. -4-2 A = -2 -7 A₁…

A: To Verify : λi is an eigenvalue of A and that xi is a corresponding eigenvector

Q: 55 ×13

A:

Q: Multiply. (4√10+2)(√6-3) Simplify your answer as much as possible.

A: We can multiply and simplify the answer as below.

Q: 3 O -1;2 1; 2 1 Find the roots of the quadratic equation y=x²--2 by using its graph. 6 -4 3 ~ y-axis…

A: We want to find the root of the equation using the graph.

Q: A local bus finishes its 77-km route in the same amount of time that an express bus finishes its…

A:

Q: 26. Find h in the matrix A below so that the eigenspace of A corresponding to λ = 4 is…

A:

Q: Find the inverse of the following one-to-one function, f(x) = 6√x+7-9 for x ≥ -7 Of-¹(x) = (23)²-7…

A:

Q: Given the function f, a) determine the first derivative f', b) solve for the critical number/ (if…

A:

Q: x+a__1 x-b 4

A: We can solve the given problem by cross multiplying the terms.

Q: 18. Suppose that a C de f Find each of the following determinants. a Ь (a) d 3g 3h 3i О Ь (b) | d+3g…

A: Given  abcdefghi=7 a              abcdef3g3h3i=3abcdefghi                              =3×7…

Q: Determine which fraction is larger without using pictures, cross product, common denominators,…

A: To determine which of the given two fractions is larger. 9/11 or 6/8

Q: solve for k 7k+8+90+40=180

A: Solution:

Q: 6. Choose the correct answer. Which of the following equations has no real roots? O x² + 4x x² + 4x…

A:

Q: a) Write an equation for the nth term of the arithmetic sequence whose seventh term is 21 and has a…

A:

Q: For each sum or product, determine whether the result is a rational number or an irrational number.…

A: As per guideline we will only solve question number a,b and c in the following step. If you want…

Q: Use the appropriate property of determinants to find a. Do not evaluate the determinants. -13 23 -9…

A:

Q: Question 1 Explain that (AB)" = BT AT 21 A = 0 1 3 402 1 and B = 2 0 -1 1 1 -2 1 3

A: Let's find.

Q: A continuous F(XI = [+x X Co OBX C1 K Find lue of of k value 15 x has COF" 16 17 V-V- 15X 18 19 20…

A: The objective of the question is evaluate the value of "k".

Q: 40. Let. u₁=(3, 1, 1), u₂ = (-1, 2, 1), and u3 = (-1/2,-2, 7/2). Verify {u₁, U2, U3} is an…

A: A set of vectors u1, u2, β3, ..., un is said to be orthogonal if ui·uj = 0 [ dot product ]  whenever…

Q: Consider the Kenken Puzzle. What should be the value of x and y? a. x=1 y=4 b. x=2 y=3 c. x=1 y=3…

A: First fill single square cages i.e. freebies.  Hence, x can not be equal to 1, as a given number…

Q: (a) 2x 6 2005x3 + X = x-3 x-3 6 2x = x+3x+3 (b) 2--

A: