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Q: Describe the situation in which the distance that point x is from 10 is at least 15 units. Express t...

A: Distance of x from 10 = Now, distance of point x from 10 is at least 15 units. So,

Q: The half-life of Palladium-100 is 4 days. After 12 days a sample of Palladium-100 has been reduced t...

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Q: Describe the Properties of Determinants.

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Q: Determine whether each statement is true or false. If a statement is true, give a reason or cite an ...

A: (a) True

Q: math

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Q: f(x) = x x + 3 , g(x) = 5x − 3 Find (f ∘ g)(x). Find the domain of (f ∘ g)(x). ...

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and s...

Q: Algebra Question

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Q: let p =(x,y) be a point on a graph of y=x2-5 using a graphing utility to graph d=d(x) in order to fi...

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Q: find the inverse of the given elementary matrix.

A: Let Now find the determinant of A

Q: Find the mean, variance, and standard deviation for the probability distribution. (Round your answer...

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Q: Find the image of the vector (1, 1, 1) for the rotation.30° about the z-axis

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Q: f(x) = x2, g(x) = x + 7 Find (f ∘ g)(x). Find the domain of (f ∘ g)(x). (Enter your answ...

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Q: (a) find the orthogonal complement S⊥, and (b) find the direct sum S⊕S⊥. S is the subspace of R3 con...

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Q: Let A be a complex n × n matrix. Prove that if A is invertible and if the eigenvalues of A are (A1,....

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Q: Write an inequality for the shaded region shown in the figure.

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Q: A pine tree casts a shadow of 80 feet next to a 30 foot tall building which casts a 40 feet shadow. ...

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Q: The perimeter of a rectangular pool is 320 yards. If the length is 20 yards less than twice the widt...

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Q: How long will it take for 1000 to decay to 500 with a loss of 3% a year (approximate historical infl...

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: Algebra Question

A: p -> q means " if p then q" q -> p means " if q then p"

Q: F) which value of x gives the rectangle it's largest area? Show your reasoning. i don't quite unde...

A: The equation of the line in given figure passing through the points (0,3) and (9,0) is

Q: If the range of a function is the set of all outputs for the functions, what is the range of an expo...

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Q: If the roots of x²-ax+b=0 is twice the other.find b in terms of a

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Q: Algebra Question

A: Given matrices are We will find the product BA as follows.

Q: Show that the value of the determinant of the following matrix is independent of 0. Sine Cose -Cos® ...

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Q: Form a polynomial with the given roots 1+2i, 1-2i , 4 ,2

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Q: x+y-z=3 equation 1 7x-7y-5z=-17 equation 2 6x+y-4z=7 equation 3 Eliminate y from equation 1 and 2 by...

A: the coefficient of y in Equation 1 is 1 the coefficient of y in Equation 2 is -7 So we have to mul...

Q: The partial fraction decomposition of − x − 10/ x^2 + 11x + 30 can be written in the form of f(x) = ...

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Q: A function f has the following verbal description: "Subtract 2, then cube the result."

A: Given function is f Then we will subtract 2 from it, so it becomes (f-2)

Q: 8. Consider the lines (1, l2, l3, and l4 are given by equations r+y+2 = 0, -r+2y+4=0, r+ y - 4 = 0, ...

A: (a)

Q: Determine whether each matrix is in row-echelon form. If it is, determine whether the matrix is also...

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Q: DFecay rate,k: 2.9% per year= -0.029 The half-life is ___ years.

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Q: Find the eigenvalues and the corresponding eigenspaces for each of the following matrices:

A: Consider A is the given matrix. To find the eigenvalues and the corresponding eigen spaces. First f...

Q: Find two nontrivial functions f(x) and g(x) so f(g(x)) =2/(x+5)square

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Q: A $600 laptop has a 12% tax. Find the tax and the total amount due

A: Given: A $600 laptop has a 12% tax.

Q: The number, in millions, of international tourists who visited the United States is given in the fol...

A: Part (b) Use any off the graphic utility to get the trend-line for the data set: Hence, T(t) = 3.44...

Q: solve th e equation for X 2(A - B + X) = 3(X - A)

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Q: Find the solution set of the system of linear equation represented by the augmented matrix.

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Q: The sun casts a shadow from a flag pole. The height of the flag pole is three times more than the le...

A: Let the length of the shadow = x So the height of the flag pole is 3x We sketch the situation roughl...

Q: Use an LU-factorization of the coefficient matrix to solve the linear system.

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Q: Suppose that P dollars in principal is investing in an account earning 2.1% interest compounded cont...

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Q: After receiving an inheritance, a newly married couple invested $15,250 for 10 years and received $9...

A: If P is principal , r is rate of interest and t is time , then simple interest is

Q: Consider the quadratic function f(x) = −(x^2 + 2x−8). turning point?

A: Given,

Q: Find the union of the two sets. 42) {3, 5, 6, 8}∪∅

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Q: What will be the nth term of the geometric sequence with first term a1=4, a2=8 and n = 4

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Q: f(x)=[-3x+4 if x is less than 1 2x-1 if x greater than or equak to 1 find domain, any itercepts,gr...

A: The function is defined for all real values of x. So domain is all real numbers. For y-intercept, x...

Q: For Exercise, write the logarithm as a sum or difference of logarithms. Simplify each term as much a...

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Q: The number of people who have attended theme and amusement parks has grown approximately exponential...

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Q: Define Positive Definite Matrices.

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Q: Thank u in advance

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Q: How do I find the domain and write in interval notation?

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Transcribed Image Text

Find a unit normal to the surface x'y + 2xz = 4 at the point (2,-2,3).