Given the following points: P (2, -3, 6), Q(4,4,6) and R(1,4,6) forms a triangle. Find the vector projection of QP perpendicular to QR.

Q: Rotate the triangle with vertices  (3, 4),   (4, 3),  and  (3, 0)  counterclockwise 90° about the...

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Q: 9. Find the final amount of an account with an initial investment of 3 $4000 at an interest rate of ...

A: Given query is to find the amount accumulated in the account.

Q: 5. During a summer spraying program the mosquito population was reduced by 15% every 3 weeks. If the...

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: 6. Based on data from the U.S. Department of Agriculture, the average number of acres per farm x yea...

A: Given model. A(x)=(2078x-94458)/(13x-2164)

Q: Find the area of the parallelogram whose vertices are listed. (-1,- 3), (3,6), (8, - 7), (12,2) The ...

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Q: One option in a roulette game is to bet $13on red. ​ (There are 18 red​ compartments, 18 black​ comp...

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Q: 2. Two functions f : Z → Z and g : Z → Z are defined by f(n) = 1 – 2n? and g(n) = 3n + 2. %3D (a) Fi...

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Q: 47.가

A: The detailed solution is given below Thank you 

Q: Find the Laplace transform of the following: 1. e3t cos 2t 2. sinh3 4t 3. tet-lu(t – 1) 4. t cosh 2t...

A: Solution is given below:

Q: 10. sin t * cost

A: In this question we have to find the Laplace transformation.

Q: In May, The zoo sold 2,308 entry tickets. In June, the zoo sold twice as entry tickets as it sold in...

A: Entry tickets sold in May =2,308. Entry tickets sold in June is twice of the entry tickets sold in M...

Q: The fox population in a certain region has a continuous growth rate of 7 percent per year. It is est...

A: Given problem:- The fox population in a certain region has a continuous growth rate of 7 percent per...

Q: 4. Given the equation y = (sinx)cosx %3D Determine dy/dx. O (sinx)cosx-1 cos?x - (sinx)cosx- In(sinx...

A: Given query is to find the derivative of the expression.

Q: 5. Analyze and sketch the polynomial functions and complete the charts below. State the degree and s...

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Q: Consider all positive integers that are mueiples of 20 and that are less than or equal to 300. What ...

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Q: Jerry has three pieces of string. The total length is 107 cm. The sum of the two longer pieces is 89...

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Q: The size of a threatened population of bottlenosed dolphins is decaying exponentially with a half-li...

A: we have to slove the above question

Q: Use Cramer's rule to compute the solutions of the system. What is the solution of the system? 2x, + ...

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Q: Solve the polynomial inequality: (x - 9)(x – 1)(x – 3) > 0 Give your answer in interval notation. En...

A: Topic = Inequality

Q: Find the sum of the first 10 terms of the series. A (n) = 5n – 2 S10

A: Finding S10

Q: The cost of attending an amusement park is $15 for children and $35 for adults. On a particular day,...

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Q: Hote the dearee Ond lending Coeffaient of eacn folynamial in are variable If it is net a pelyromial ...

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Q: Consider the following functions. f(x) = 2. g(x) = 2x + 4 Find (fo g)(x). 1 2x +4 Find the domain of...

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Q: 2. sinh³ 4t

A: As per our company guidelines, we are supposed to answer only the first question. Kindly repost othe...

Q: 2 3 45 Fill in the coefficients so that the equation below is the equation for the function graphed ...

A: The solution to quadratic equation is given below.

Q: account

A: We will find the balance in the account after 9 years. 

Q: A manufacturer of ski clothing makes ski pants and ski jackets. The profit on a pair of ski pants is...

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Q: State the dearee Ond lending Coesfcient of eoch polynomial in ane variable H is net a polyromial in ...

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Q: 7/8+ VTz) 8) (J6- v3(3 + V18) 7)

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Q: Calculate the amount of money​ you'll have at the end of the indicated time period.   You invest ​$2...

A: We need to find the amount of money that we will have at the end of 30 years, given that : Principle...

Q: Divide. (8x' +16x+18x+15)÷ (2x+1) 3 Your answer should give the quotient and the remainder. Quotient...

A: We use here synthetic division method, Coefficient of 8x3+16x2+18x+15 is 8,16,18,15   x=-1/2 8 0...

Q: EUX EMCR. F MCR Attac Attac Prep. 1. Int AlpQLSfHK0vDpr9KuOM3Nqm66LOaNFcK7TESwOq-2CTIH2-YBA4CLO/form...

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Q: 4. Solve the system of equations by graphing and check your answer by substituting back into both th...

A: Solve the system of equation by substitute back in equation.

Q: 6. (Sections 8.8 and 8.9) Determine whether the following piecewise-defined function is a probabilit...

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Q: Directions: Tell whether the ordered pair is a solution of 3x - y 2 - 1 А. (-1,0) В. (3, 2) С. (2,5)

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Q: Suppose that during this week you have spent $25.61 on gas for your car, $92.46 on groceries, $43.78...

A: Round number rule- if the digit after decimal is greater or equal 5 then we round the number to next...

Q: 3. For f(x) = x³ – 7x2 + 8x + 16, a. Find f(10) using synthetic division. b. Is 10 a zero of the fun...

A: Note:     Multiple subpart are given, we are answer with three sub part only. If you need more answe...

Q: y = 4x- 29 y+ 2x = 19 %3D

A: Solve the system of equations

Q: How does the graph of f(x) = (+2)4 + 6 compare to the parent function g(x) = x*? X 6|个 + Source C BI...

A: Given query is to find the transformation applied.

Q: What is the quotient (3x2 +8x-3) (x+3)? O 3x +5, r 1 O 3x-5 O 3x + 1 O 3x - 1

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Q: A piece of wire 40 cm long is to be cut into two pieces. One piece will be bent to form a circle, th...

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Q: 4. A biologist collects data on a population of rabbits as indicated below. A B C D EFGH Time (years...

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Q: Given the following equations: (M): 2x + 3y – z + w = 100 3 (0): x + - – z + w = 100 y Then O (M) an...

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Q: A function f has the following verbal description: "Multiply by 8, add 2, and then take the fifth po...

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Q: Find the Laplace transform of the following: 1. e3t cos 2t 2. sinh3 4t 3. te-lu(t – 1) 4. t cosh 2t

A: 1) Given:    e3tcos 2t      Applying Laplace transform       Lft=Le3tcos 2t Apply transform rule:   ...

Q: 1+ tan“x = csc 2.x 2 tan.x

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Q: 10. -12x = -74 32=-5 PPE 9. %3D 30siern 11. -3.9x = 27.3 MPE 3x =-54 4 12. abiz dtod rifiw notps a 1...

A: 9.)x32=-5using MPEx32×32=-5×32x=-16012.) 3x4=-54using MPE3x4×43=-54×43x=-7213.)-14x=6using MPE-14x ×...

Q: A homeowner wants to build a raised rectangular garden bed. The homeowner has enough lumber to creat...

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Q: 1 A rectangular garden sits next to a house. Three sides of the garden are fenced, and the fourth si...

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Q: Use the box-and-whisker plots to identify the IQRs of the two sets. SetA Set B 10 15 O Set A = 8, Se...

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