Suppose a > 0, (a, 42) = 6 and [a, 42] = 420. Find а.

Q: Give the 4 x4 matrix that rotates the points in R° about the z-axis through an angle of - 60°, and t...

A: Given:     Angel = -60°      p = ( 4 , -2 , 6 )

Q: a2 E R³ are subspaces of R³? (No justification necessary.) Which of the following sets of vectors аз...

A: Vector subspace : A subset W of a vector space V  over the scalar field K is a subspace of V if and ...

Q: The transformation T: R2 → R2 which projects all vectors in R2 onto the line y = 2x. Find the matrix...

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Q: Use the given information to draw a Venn diagram. n(A ∩ B ∩ C) = 2, n(A ∩ BC ∩ C) = 7, n(AC ∩ BC ∩ C...

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Q: 4. Determine the x-intercepts, the vertex, the direction of opening, and the domain and range of the...

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Q: 5 Max lives 3, blocks from a diner. The park is 6, blocks away in the same direction. Max plans to 8...

A: Max lives 358 blocks from a dinner. The park is 612 blocks away in the same direction. Max plans to ...

Q: Armando invests $5500 in two different accounts. The first account paid 13 %, the second account pai...

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Q: Question 5: Do the following belong on a list of possible rational zeros for the following polynomia...

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Q: Solve the e quations by completing the square. Preserves exact values. a) 2s+ 3= -7s 6)ナカー1=o c) t= ...

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Q: Question 3: Use the Remainder theorem and synthetic division to find f(k) f(x) = x³ - 4x² - 25x + 10...

A: Here, to sue the synthetic division and the Remainder theorem to factorize f(x)=x3-4x2-25x+100, k=5 ...

Q: A rectangle is 2.5 times as long as it is wide. Squares of side 4 inches are cut out from each corne...

A: We have to find volume . Given a rectangle is 2.5 times as long as it is wide. Squares of side 4 inc...

Q: ote: Kindly provide a solution pls. The answer is already provided. Thank you! 1.6 Find the sum of ...

A: Sum of first n even numbers is given by the formula Sn=n(n+1)

Q: Find the average rate of change of the function f(x) = 1c- 7x-8, on the interval E [1,5]. %3D Averag...

A: topic - average rate of change of function

Q: Example I Write the simplified expression for the function defined by f(n) = 12244ndenomimtu Stpl: F...

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Q: Three students buy lunch in the cafeteria. One student buys 2 hamburgers, 2 orders fries for $6. If ...

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Q: At what distance from the base of a right circular cone must a plane be passed parallel to the base ...

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Q: is

A: We will find the area of rectangle. 

Q: discuss euclidean algorithm in finding the values of the integers x and y that satisfy the equation ...

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Q: Using the net below, find the surface area of the pyramid. 3 cm 3 сm 3 cm Surface Area = [?] cm2 %3D...

A: From the given figure, we have to find the surface area of the figure.

Q: 5. The table shows the predicted growth of a particular bacterium after various numbers of hours. Wr...

A: The objective is to write explicit formula for the sequence of number of bacterium.  

Q: h order for synthetic division to work, the divisor must be of the form x-a, that is, a variable min...

A: (2x2+5x-4)÷(x-6) from above divisor is (x-6)It is in the form of (x-a) on comparingx-a=x-6⇒a=6

Q: Given f(x) = x, after performing the following transformations: shift upward 90 units and shift 41 u...

A: We need to perform transformations on f(x).

Q: The midpoint of the line segment from P, to P, is (-7,6). If P, = (-5,9), what is P,? 1 P2(Type an o...

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Q: If $500 is deposited in an account paying 8.4% annual interest, compounded semiannually, how long wi...

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Q: Consider the Quadratic function f(x) = x² – 7x – 8. Its vertex is ). Its largest x-intercept is x = ...

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Q: 4. Determine the zeros of each polynomial function. Indicate whether they are of order 1, 2, or 3. g...

A: We have to find the zeroes of the polynomial and indicate the order of the zeroes.

Q: Is x greater than, less than, or equal to 94°? 94°

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Q: truth value of the if-then statement. 1. The measure of an obtuse angle is greater than 90°. 2. Poin...

A: 1. If the measure of an angle is greater than 90 degree, then it is an obtuse angle. 2. If the point...

Q: Question 4 5 pts Find the slope of the line that passes through (2,8) and (-4,8). 0 6 O-1/2 O undefi...

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Q: Use the graph of the function y =g(x) below to answer the questions. -5 3+ -4+ (a) Is g(-5) negative...

A: Given graph shows that y=g(x) The horizontal Axis is x The Vertical axis is g(x) or y  

Q: Consider the situation below showing the weekly income tax of a single (civil status) employee in a ...

A: topic - fractions

Q: Find the minimum and maximum values of z = 6x + 7y, if possible, for the following set of constraint...

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Q: Let f(x) and g(x) + 5. %3D x - 8 Find the domain of the composition f(g(x). The domain of f(g(x)) is...

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Q: Prove that if both products AB and BA are defined, then AB and BA are square matrices. Assume that A...

A: We want to prove that AB and BA are square matrices

Q: D. Write the negation of each statement. Then determine the truth value of the negation. 1. A point ...

A: Answer -  Negation means opposite of the given statment.  if statement is true then it's negation is...

Q: 26. The value of sin(5) is V2-V3 Is this value exact or approximate? Explain your answer.

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Q: Consider the situation below showing the weekly income tax of a single (civil status) employee in a ...

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Q: Panchito and Conchita live 115 miles apart and travel towards each other, but Conchita leaves 15 min...

A: The solution is given below

Q: Determine the end behavior of the graph of the function. 1 f (x) = -x°- 2x* -x° +7 As x - -00, f (x)...

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Q: p= -aw+9

A: p= -aw+9

Q: What is the sequences 7,2,-3,-8,-13 a1= _____________ Arithmetic or Geometric? The value or D or ...

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Q: Find the equation of a line that passes through the points (10, -5) and (-2, 2). It needs the equati...

A: Topic:- equation of straight line

Q: Use graphical methods to solve the following linear programming problem. Ay 10- Maximize: z= 3x + y ...

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Q: An iron bar weighs 3 lb 7 oz. Express its weight in oz and in kg. (Round your answers to exactly thr...

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Q: 13. Use summation notation to write the series 2.2 ++ 6.6+ 11 + for 5 terms. Note: In each of these ...

A: solution

Q: 2. Write a recursive definition for the sequence 14, 10, 6, 2,... Oaj = 14, an = an-1+4 %3D Oa = 2, ...

A: To write a recursive defintion for the sequence 14, 10, 6, 2, ...  

Q: 1. Assume that the function f is a one-to-one function. (a) If f(2) = 5, find f-(5). Your answer is ...

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Q: 8. Find the missing term of the arithmetic sequence 22, 34, ... O46 O16 O28 O40

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Q: 8) A bowl has four different color balls. The ratio of orange balls to red balls is 3:7 and the rati...

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Q: Question 5: Do the following belong on a list of possible rational zeros for the following polynomia...

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