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Q: Find the mean for the following group of data items.

A:

Q: The mass of a radioactive substance follows a continuous exponential decay model, with a decay rate…

A: The solution is shown in step-2

Q: 2. Function C takes time for its input and gives a student's Monday class for its output. a. Use…

A: From the given question the function C in its notation form is  Ctime=Class

Q: 5. Find two linearly independent polynomials orthogonal to p(x) = 1 + x² using the inner product…

A: Given two polynomials:-

Q: Problem of the Month Tri - Triangles Level A: Lisa is making triangle patterns out of toothpicks all…

A: Here we have toothpicks and 3 toothpicks makes one triangle.

Q: Compute the determinant of the matrix

A: We have to find compute the determinant of the given matrix. Let, the matrix be A=212603-872

Q: A house is on a 60000 square foot lot round into the nearest 10th. Approximately how many acres are…

A: Area of house is:  6000 square feet

Q: Find the measure of 21 1 O 140 O 40 O 70 40°

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Q: Given the system of equations: (a) Determine the type of system: O inconsistent dependent x+y+z=-3…

A:

Q: 4. If two-thirds of a number n subtracted from 17 is 23, find the value of n. n =

A: Given statement “Two - thirds of a number n subtracted from 17 is 23”

Q: You need to arrange five of your favorite books along a small shelf. How many different ways can you…

A: Given: You need to arrange five of your favorite books along a small shelf. We are required to find:…

Q: Paint costing $19 per gallon is to be mixed with 5 gallons of paint thinner costing $2 per gallon to…

A: Paint costing $19 per gallon is to be mixed with 5 gallons of paint thinner costing $2 per gallon to…

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

A: To solve the following inequality and to graph the solution set on a real  number line. x+8x-10x+6≤0…

Q: Let L₁ be the line defined by the equation ()-() 2 3 + t L₂ be the line through (:)- 4 O a. parallel…

A: The equation of L1⇒xyz=132+t-154

Q: Matt has three times as many stickers as David. How many stickers must Matt give David so that they…

A: Given that Matt has three times as many stickers as David.  Let if David  has  x stickers . So  Matt…

Q: Use the Laws of Logarithms to combine the expression. 5 In (2) + 2 In(x) - In(x + 3) In 25x² √x+3 X

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Q: The amount of money invested in a certain account increases according to the following function,…

A:

Q: In the diagram below, JL intersects KM at point K. (2x) K [not drawn to scale] What is the measure…

A:

Q: Find a formula for the log function graphed below. Simplify your answer.

A: To find the log function for the given graph.

Q: Mark only correct statements. a. Every orthogonal matrix is invertible. b. If columns of a square…

A: SOLUTION:-   Given different statements, we need to list which of the statements are correct and…

Q: Answer parts a and b. a. n(A U B) = 18, n(AB) = 5, and n(B) = 15, find n(A). b. If n(A) = 14, n(B) =…

A: (a)  given data, (i)   n(A∪B)=18(ii)  n(A∩B)=5(iii)  n(B)=15

Q: Skippy wants to have $15,000.00 in 8 years. His bank is offering an account that earns 2% compounded…

A: Future value, F=$15000 Time, t=8 years. Interest rate, i=2%=0.02 Compounded frequency, m=12

Q: 7. Noah and Lin are each trying to solve the equation x² - 6x + 10 = 0. They know that the solutions…

A: We will use their knowledge that solution of x2= -1 is i  and -i .  In this problem , we will put…

Q: (a) Move the points to obtain the graph of the given function. 0≤t <3 3<t<5 5 ≤t<7 t≥7 f(t) = f(t) 3…

A: a) Move the points to obtain the graph of the given function…

Q: Lisa is making triangle patterns out of toothpicks all the same length. A triangle is made from…

A: SOLUTION:-   Given, Lisa is making triangle patterns out of toothpicks all the same length. A…

Q: Find the determinant of the matrix. Expand by cofactors using the row or column that appears to make…

A: Let a square matrix( A ) whose order is  3×3 A = abcdefghithen its determinant in terms of its…

Q: Find (A, B), ||A||, ||B||, and d(A, B) for the matrices in M2,2 using the inner product (A, B) =…

A:

Q: Find the inverse of the matrix A, if it exists. If it does not exist, explain why. 10 0 11 5. A1 1 1…

A: Given matrix A=001111123 We need to calculate the determinant of the matrix.

Q: The number of bacteria in a certain sample increases according to the following function, where yo…

A: A function,

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

A:

Q: Solve the following system algebraically or graphically. Sy=x² y=-4x+12

A:

Q: Suppose that the number of bacteria in a certain population increases according to a continuous…

A:

Q: Find the determinant of the matrix. Expand by cofactors using the row or column that appears to make…

A:

Q: The table shows the population of a colony of bacteria at the beginning of each week for five weeks.…

A:

Q: Use the simplex method to solve the linear programming problem.

A:

Q: x f(x) = 2 x +4x-45 2 x²-9 - 11

A:

Q: Differentiate the function below with respect to a. ƒ(x) =ln (3 x² – 8 x – 5) =

A:

Q: Plot points between and beyond each x-intercept and vertical asymptote. Find the value of the…

A:

Q: Solve 2x^3+6x^2-4x-12=0 using factoring by grouping. Solve Exactly like the example attached,…

A:

Q: Use the exponential decay model, A = Aoekt, to solve the following. The half-life of a certain…

A: Solution The decay model given, A=A0e(kt) Half life =22 years So after 22 years, A=A0/2

Q: The cost of driving a car includes both fixed costs and mileage costs. Assume that it costs $178.40…

A: The cost of driving a car includes both fixed costs and mileage cost Assume that it costs $178.40…

Q: 25 is written as a power? its com with a³ 125 is written as a s is a perfect cube. Finding the cube…

A:

Q: Fill in the missing numbers. X 2 32 8 4 1 5 7 7 64 | los 29 7 9 8 8 2 | 8

A:

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

A:

Q: In the cost function below, C(x) is the cost of producing x items. Find the average cost per item…

A: cost function Cx = 6.2x + 9400where Cx = cost of producing x item

Q: Prehistoric cave paintings were discovered in a cave in France. The paint contained 22% of the…

A: Prehistoric cave painting were discovered in a cave in france The paint contained 22% of the…

Q: 4. Let p = 5 - 2i and q = 3 + 7i. Write each expression in the form c. pq a. b. p-q p + q Tea or…

A: p=5-2i q=-3+7i

Q: Write the slope-intercept form for the line shown in the graph. The slope-intercept form for the…

A:

Q: Use the intermediate value theorem to show that the polynomial has a real zero between the given…

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Q: What is the matrix of a linear system? Provide an example.

A: