Problem #3: Let Problem #3: A = -8 Find a unit vector x whose first component is positive at which Ax has maximum length. Enter the components of x (in order) into the answer box below, separated with a comma. numbers correct to 2 decimals

Q: Simplify each expression a. √50 b. √√6xx√3x² * C. d. e. 121 9 √150x² √√3x m

A: Since you have posted withmultiple sub parts. As per guidelines we are supposed to answer only first…

Q: log,(6x - 8) = log,(3x + 6)

A: log7⁡(6x−8)=log7⁡(3x+6)

Q: 8. The formula c² = a² +b is the Pythagorean Theorem used to find the sides of a right triangle.…

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Q: 4. Consider the following parabola with the focus at (6,2) and the directrix line at y = -6. (x, y)…

A: Note:-Since you asked multiple questions, according to our policy we can solve only first question…

Q: Find two numbers a and b such that the following system of linear equations is inconsistent. ax-3y =…

A: A system is said to be inconsistent if no solution exist.For , if , then system is said to be…

Q: у=2x+1 у-x2=1

A: y=2x+1y−x2=1

Q: You want to be able to withdraw $20,000 each year for 15 years. Your account earns 9% interest. a)…

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Q: 15=40t-5t^2

A: To solve the following the quadratic equation.

Q: n Find I (1) n=2

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Q: -2 -1 and W₂ = 1 For each of the following vectors, determine whether it is orthogonal to W₁ and/or…

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Q: x = log₁ log₁ V25 5

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Q: For each of the following, set up either a system of equations in two variables or a quadratic…

A: Given that  the lift L (in pounds) on a certain type of airplane wing  is given by formula Where v…

Q: Find the unknown angle measure. Figure is not to scale. 64° xº

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Q: Determine (a) the area and (b) the perimeter of the quadrilateral. a. The area of the quadrilateral…

A: Given that a rectangle whose length is 4ft. And width is 3ft.And we find area and perimeter of this…

Q: Perform the indicated operations. If possible, reduce the answer to its lowest terms. 2 + O اني | 96…

A: The given expression .The aim is to simplify the given expression.

Q: 31. Solve the equation. 25 = 70

A: 2x5=70

Q: [1 1 1 3 3 3 4 4 1 2 2 + -4 -4 -2 0 5 -1 -1 6 7 4

A: we need to add the matrices.

Q: -10 ✓ f(x) = -10 2 3x+4 if B if 3 --x+1 if A B C D x A-4 -4≤x≤3 C≤x≤ D 110 *** ***

A: The given function

Q: (x - 5)² + (y + 2)²=121

A: Given that the equation

Q: At noon, to begin a study, a petri dish had 3000 bacteria cells. The number of cells in the petri…

A: Exponential functions can be given as follows:where,P = Initial Number = 3000 bacteria cellsr =…

Q: If (a-b)/c = (c-b)/a = 0.1, what are a, b, and c?

A: (a-b)/c = (c-b)/a = 0.1

Q: 13. What value(s) of b will cause 8x²+bx+ 2 = 0 to have one real solution? A.-16 B. -8 C. -4 ☐ D.4…

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Q: 2. The function (x) has the focus located at the origin and directric at y=10. Determine the…

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Q: food and clothing are shipped to victims of a natural disaster. Each carton of food will feed 9…

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Q: Evaluate the infinite series: 1 2 - 4 + COMMEN 1 +. 8 16 : 000

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Q: 17. When will a population of 9 million bacteria that doubles every year reach 576 million?

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Q: Solve by back substitution. y = 1 x-y-z=6 2y+z= -5

A: Given equation can be written as,Now write this in matrix form,

Q: Find two numbers a and b such that the following system of linear equations is consistent dependent.…

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Q: Determine (a) the area and (b) the perimeter of the quadrilateral. Note that the figure is not drawn…

A: quadilateral given

Q: Write the equation of the circle with the given center and radius a. Center (-3,2), r = 5 b. Center…

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Q: You randomly select one card from a 52-card deck. Find the probability of selecting a black eight or…

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Q: Find the volume of the shaded region. When appropriate, use the key on your calculator and round…

A: Formula Volume of cylinderr=radius of cylinder h=height of cylinder

Q: How many ways are there to distribute the 10-slice cake among 4 people, if half of the cake is ice…

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Q: Solve the logarithmic equation. Express irrational solutions in exact form and as a decimal rounded…

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Q: Use the quadratic formula to find the exact solution to the given equation. (Enter your answers as a…

A: Question No. (1):By using the quadratic formula to find the solution.Note: Since you have posted…

Q: Suppose you want to have $400,000 for retirement in 20 years. Your account earns 9% interest. a)…

A: Future value = $400,000Interest rate = 9%Number of periods = 20 years

Q: For each of the following, set up either a system of equations in two variables or a quadratic…

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Q: A pair of points on the graph of an exponential function is given. Give a formula for the function,…

A: f(t)=abtA pair of points on the graph (0,40),(6,100)

Q: Given f(x) = 7 - 2x + x², find the average rate of change for the interval [1, 3].

A: f(x)=7-2x+x2The formula is given by,Average =(f(b)-f(a))/(b-a)

Q: Solve the following system of equations: 2x1 + 2x2 = 3 x1 + x2 = 4 Find the least square solution…

A: The given system of equations

Q: log.x²y3

A: A=log8⁡x9y3

Q: Determine the volume and the surface area of the three-dimensional figure. Use the key on your…

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Q: 6. Using the data from Table 1 in the paper, suppose we can create the results for the main exposure…

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Q: of the quantity described below. The amount of water used in a community increases by 26% over a…

A: To find the annual growth rate, we can use the formula for compound annual growth rate (CAGR) which…

Q: 6. This figure is made from part of a circle and part of a square. 2 2 3 3 5 5 a. What is the…

A: So, Perimeter=19 units

Q: f(x)=√√9(x+4)

A: f(x)=9(x+4)3

Q: ∞ ∞ Use the figure to find IC U HF. Which of the following is IC UHF? O A. OB. H OC. H OD. Ø A E B F…

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Q: 6) Solve the following equation. Be sure to check your answers before you record your solution(s) in…

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Q: 9 4 07 -4 0 3+9 -5 6 63 -4-2 5 11 0 4 7 0

A: we need to add the matrices.

Q: Find two numbers a and b such that the following system of linear equations is consistent…

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