Find the distance between the point and the line given by the set of parametric equations. (Round your answer to three decimal places.) (7, -8, 4); x = 2t, y = t - 3, z = 2t + 2

Q: Q3) Find the vector that parallel to the intersection line of two planes 2x + y-3z 2 and -x+ 2y-z 1.

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Q: Discrete Math (i) If gcd(a, b) = 1 and c | (a + b), then gcd(a, c) = 1 and gcd(b, c) = 1. (ii) If g...

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Q: The Matrix A = -529 A o -6 -3 -1 4 has an ečng endalup ) == Find an ocrgonunluo tor thas oingoraalus

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Q: Investment: You put $505 into a certificate of deposit. Your simple annual interest rate is 4.2%. Yo...

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Q: Find the equations of the line passing through the point (-2, 7) and perpendicular to the line 3y = ...

A: use the equation of line given in the question .

Q: Given m = 92 Identify the fiollowing: exponent = result = base =

A: In ab, a is the base and b is the exponent

Q: 1 1] 3. Find all values of r for which E has inverse. Find, if a) Let E = 1 .1 r. possible, E - for ...

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Q: f(x+h)-f(x) The expression for h 0 is called the difference quotient. Find and simplify the differen...

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Q: Find the volume of the paralellepiped with one vertex at P(1,1,1) and determined by the line segment...

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Q: x' 3 x² 4 27 -x+39 For the function f(x)= -- -- 3 What is the range of value over which the function...

A: Solution of question is written in below steps.

Q: concert, $1600 in tickets were sold. Adult tickets were $9 each and children’s tickets were $4 each....

A: Given query is to make the system of equations and solve them to find the solution.

Q: Four players from the NBA and their career 3-point percentage are listed below. 3-point percentage i...

A: Given that percentage of 2 pointers made is given by        p  = number of 3 pointers made(n)number ...

Q: A farmer finds there is a linear relationship between the number of bean stalks, n, she plants and t...

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Q: Do not round-off anything until you obtain the final answer. Round your answers to the nearest dolla...

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Q: Police use the formula 5 = 24d to estimate the speed of a car s in miles-per-hour (mph), based on th...

A: Consider the formula to estimate the speed of a car s in mph based on the distance d(in feet) of the...

Q: Given that f(x) = 2x+2 and h(x) = x°, find (h o f)(2). (h o f)(2) = (Simplify your answer.)

A: Solution: f(x)= 2x+2 h(x)= x3

Q: Find the angle between the curves y = x² and y = x³ at their point of intersection. Select one: O a....

A: y=x2 y=x3 The point of intersection can be calculated as shown below; x2=x3 So, x=1

Q: Lesson 12.2 Applications of Rational Equations Jackson and Trevor went on a bicycle ride. Jackson's ...

A: Topic = Algebra As per guidelines, At a time only three sub-parts of a question can be answered. Ple...

Q: Solve (y+8)-8=0 , where y is a real number.

A: To solve (y+8)-8=0 where y is a real number.

Q: If M(a, b)stands for the larger number in the parentheses, and m(a, b)stands for the lesser number i...

A: Given problem:- If M (a, b)stands for the larger number in the parentheses, and m(a, b)stands for th...

Q: A.) 75x5y7 B.) V32x10

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Q: 15. Determine the missing side in the right triangle shown below: 11 4

A: Use Pythagoras theorem

Q: Consider the following relation. 3x2 + 4x = -2x – 2y Step 1 of 3: Rewrite the relation as a function...

A: Consider the following function                                                   3x2+4x=-2x-2y then...

Q: Nicole opened a savings account with $5000 and was paid simple interest at an annual rate of 2%. Whe...

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Q: The sizes of two matrices A and B are given. Find the sizes of the product AB and the product BA, if...

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Q: 1. Which of the following functions map onto their indicated codomains? Prove each of your answers. ...

A: This question can be solved using the basic definition of one one function and its condition.

Q: Solve the following inequations a) 8x + 3y = 5 %3D бх — 9у < 0 b) 7x + 4y < 6 2х — Зу = -10

A: Find your answer below 

Q: 37. One pipe can fill a tank in 56 minutes. Another pipe can fill the same tank in 32 minutes. A thi...

A: The answer is in step 2.

Q: One of the first scales to estimate wind speeds and the effects was created by Britain's Admiral Sir...

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Q: Felipe borrowed money from a bank to invest in rare coins. He took out a personal, amortized loan fo...

A: Find your answer below 

Q: C. Given: Square ABCD. 9. If ABCD is a square, then what is m LACB? 10. If ABCD is a square, then wh...

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Q: Q7) by using the (graphical method) find the optimum solution of X1, X2 that the maximum Z=5X+7Y sub...

A: Answer is given below.

Q: Which of the following is the best way to classify the following triangle based on it's appearance? ...

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Q: Traci went on a 6-mile hike up a mountain trail. Her average rate of speed coming back down the trai...

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Q: Write the quadratic equation whose roots are-3 and-2, and whose leading coefficient is 4. (Use the l...

A: Given query is to find the indicated quadratic equation.

Q: 2. Write a quadratic equation which has -2/3 and 2/3 as solutions.

A: Roots are:23 and -23Equation:(x-23)(x+23) =0x2 -23 x + 23 x -12 =0x2 - 12 =0Quadratic equation isx2-...

Q: consider the propaitiau for S=E an, where Sy = Ean is its K-th partalsu Sumy I-If Rim Sx-0, so the s...

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Q: The game of Scrabble has 100 tiles. The diagram shows the number of tiles for each letter and the le...

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Q: Find the characteristic polynomial and the eigenvalues of the matrix. -5 3 - 1 The characteristic po...

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Q: QUESTION 3 log432 +210925 =?

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Q: $109 deposited in an account is compounded continuously for 5 years. What is the annual nominal rate...

A: Given query is to find the rate of interest.

Q: Calculate your total account balance (using compound interest) for the following: P= $2000 r= 8% com...

A: Given P=2000 r=8% or r=0.08n=12 for compunded monthlyand time t=3 years

Q: 17. Perform the following operation: 6х — 18 2.x + 10 2 7aI

A: Topic:- algebra

Q: Show Intro/Instructic A rectangle is drawn so that the width is 4 feet shorter than the length. The ...

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Q: 2. llwll=I=1||vl and wiv> Ź, What is l12u + 3u|l? a) 25 6) 4 c) 5 d) uTa el Nove

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Q: Height varies directly as foot length.  A person whose foot length is 10 inches is 67 inches tall.  ...

A: Given problem:- Height varies directly as foot length. A person whose foot length is 10 inches is 67...

Q: Let U = {x: x is an integer and 2 7}, B = {x: x² > 20}. ii. A = {x: x2 - 3x + 2 = 0}, B = {x:x + 7 ...

A: We have to determine which condition applies on set A and B.

Q: 1. Which of the following functions map onto their indicated codomains? Prove each of your answers. ...

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Q: Solve the problem. [6 -5 -4 5 4 -5 Let A = and u = Define a transformation T: R -> R² by T(x) = Ax. ...

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Q: a) Does B - A =C – A imply that B = C? Justify b) Next, does A – B = A – C imply B = C? Justify c) C...

A: A-B=x∈A and x∉B = A∩Bc