Problem 1: Prove that at least one of the real numbers a1, a2, . . . , an is greater than or equal to the average of these numbers. What kind of proof did you use?

Q: 5 4 3 1 -5 -4 -3 -2 1 3 4 -1 -2 -3 -4 -5

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Q: If 12 doses of 1½ml are taken from a bottle that contains 40ml , what will be the remaining Quantity...

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Q: Q 3.9 You are given the following matrix A = find a matrix (W) that diagonalizes the given matrix (A...

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Q: Find the last digit of 22020 x 117972014

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Q: Choose the correct equation for the given quadric surface. ² - 4y - z = 40 O+ 4y +z = 40 x² - 4y + z...

A: Hint: the quadratic surface has two disjoint branches.   The correct equation of the quadratic surfa...

Q: 1. Identify the slope and the y-intercept of the following graph: 4 a. m = -2 b. m = - G. m=글 b=3 d....

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Q: For which of the following do you receive a math subscore on the ACT? A O Square roots/radicals. BO ...

A: Solution ) math subcore on ACT Pre-Algebra and Elementary Algebra  Intermediate Algebra and Coordina...

Q: fewer than the quantity q times 367

A: Given query is to make the expression out of statment.

Q: ind an equation involving g, h, and k that makes this augmented r 6 g 0 16 - 18 h 1 -5 - 4 4 -6 k Vh...

A: Given: - The augmented matrix is, 1-56g016-18h-44-6k To find: -An equation involving g,h,and k that ...

Q: Use the graph of the function y=h(x) below to answer the questions. (a) Is h (5) negative? (0,0) O Y...

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Q: Q(s) = s - s³ + s2 - 3s - 6 %3D

A: Given:

Q: coins does Kennedy finds some nickels and pennies in her change purse. she have if she has 110 nicke...

A: Given that: Kennedy has 110 nickels and 120 pennies.

Q: Find the equation of the quadratic function q whose graph is shown below. 9 (x) = | %3D (-4,- 1) (-3...

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Q: How do you find a polynomial function with given zeroes?

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Q: Consider the following. y (a) Use the graph of y - n(x) to sketch the graph of y - h(2x). y y

A: NOTE: Refresh your page if you can't see any equations. . the base function is  the graph of h(x) i...

Q: Suppose that the functionh is defined, for all real numbers, as follows. -5 h(x) = 3 if x 0 if x=0 G...

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Q: 4 2 A = Find det(-164¬1). 121 2 M12 0 4 S2

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Q: 6. Determine the domain of the following: a. y = -3/14 + 3x b. y = V4 + 3x –- x² x+1 С. у %3 х(х-2) ...

A: Domain of given function at which y(x) is defined.

Q: 133. Water in a Swimming Pool The line graph represents the gallons of water Win a small swimming po...

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Q: 2. A circle has a diameter of 20 inches. a. Find the exact area, and find an approximate area using ...

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Q: .If there is only a 6½ml measuring cylinder available to fill a 105ml bottle, how many times will it...

A: Topic:- algebra

Q: omplete the following. (a) The graph ofy=g(x) is shown. Draw the graph of y = -g(x+3). 6- 2- -8 -6 -...

A: Topic = Functions

Q: 3 -3 –2 -1 1 2 3 -2 -3 75.

A: Find the equation of the line as show in graph   

Q: Use the situation to choose the correct answers. Complete Steps 1-2 in order. 2. Step 1: Determine w...

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Q: Graph the linear equation. Ay 10- x= - 2y 16- Use the graphing tool to graph the equation. Click to ...

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Q: Exercises 51-58: Find an equation of the line satisfying the conditions. I possible, for each line w...

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Q: Below is the graph of y = x Transform it to make it the graph of y =-x-2+1. 4 -2- -4- 6- 2,

A: solution is given below..

Q: Write g as a set of ordered pairs. b)Give the domain and range of g.

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Q: Write an augmented matrix for the following system of equations. - 4x + 8y = 5 5x - 7y = 4 The entri...

A: Topic:- Matrix operation

Q: Task 1 Verify that a given mapping L is linear if: 3 L (х,у,2, w) — (x — Зw, Зу — wtz),x, у, z, wER ...

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Q: A businessman wants to have $500, 000 4 years from now. What amount should he invest now if it will ...

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Q: Find an equation of the line perpendicular to the line x = 3 and passing through the midpoint of th...

A: To find the equation of the line

Q: em #12: Let a1 az az A = b1 b2 b3 C1 C2 C3 Suppose that det(A) = 5. Find the determinant of the foll...

A: We have to find determinants

Q: 7x + Find the average rate of change of g(x) on the interval[-4, 2]. x4 %3D Question Help: Video M M...

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Q: Consider the following piecewise-defined function. -*+4 if x 8 Step 1 of 3: Evaluate this function ...

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Q: -2 I 5 2 Find the inverse of the above matrix in three different ways

A: Let's find. 

Q: Find a mathematical model for the verbal statement. (Use k for the constant of proportionality.) h v...

A: we assume k to be the constant of proportionality

Q: lem #7: A matrix 4 is called self-inverse if A = A. Which of the following statements are always tru...

A: For self inverse matrix (A)-1=A

Q: Find all the values of x satisfying the given conditio

A: Given:- y=x-√(x-2) To find:- value of x when y=4

Q: Whose shaved ice had the greater rati

A: Given that: Kimi got 4 pumps of lime syrup and 5 pumps of cherry syrup.Toby got 5 pumps of lime syru...

Q: 4. The flag down in an air conditioned taxi is P25.00 for the first 200 meters and the rate is P2.50...

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Q: For the equation 81x2 + 9x - 90 = 0, which statement is correct? Sum of the roots = S, product of th...

A: Given : 81x2+9x-90=0

Q: Select all of the ratios that are proportional to each other. (You may need to select more than on a...

A: The given data is: Select all of the ratios that are proportional to each other.

Q: Graph the linear equation. Ay y = -9 Use the graphing tool to graph the linear equation. Click to en...

A: The given funcion is y=-9

Q: 9.12 suppose; a 3. A. %3D bる 19. .bz .(3. olet (A) = 2.. assume that fhe de teminanf ef find this ma...

A: We have to find determinant

Q: f (x) = x2 – 2

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Q: -5 -4 -3 -2 -1 3 4 The function graphed above is: Increasing on the interval(s) Decreasing on the in...

A: Here we have to observe  the function graph and then find the intervals where it is increasing or de...

Q: Zoey has 3434 of a pizza left after going to a local restaurant last night. Today, she eats 1313 of ...

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Q: ​ $6945.30 at 6.3​% compounded annually for 2 years.   The present value is $____.

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Q: P-4 9p+ 36 6x + 24 4) 6x + 48 p+4 9. x* + 2x + 1 x* + 9x + 8 P+6 30р A) p-8 B) P+6 x+4 B) x+1 A) 1 к...

A: topic:- simplification of algebra