An object falls from a height of 256 feet. a. What does the function h(t) = -16t² + 256 represent in this situation? b. After how many seconds does the object hit the ground?

Q: The normal distribution below has a standard deviation of 10. Approximately what area is contained…

A: Given, Mean= 70 Standard deviation= 10

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Q: /apply Gauss Elimination method to solve the equation? x + 4y – z = -5 x +y- 6z = -12 3x - y - z = 4

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Q: An automobile tire manufacturer collected the data in the table relating tire pressure x (in pounds…

A: Solution

Q: olve the equation g(x) = - 2 for x if g(x) = – 0.6x + 3x + 6. (Use a comma to separate solutions.…

A: Topic:- algebra

Q: Q4) Find the largest eigen value for the matrix 1 2 A= 5 4 with x' (0) =(7/17 1)

A: finf eigen value

Q: = {x €R|x – 14x³ + 45x = 0 J= {x€R]x* 2}. Find the following. All infinite sets should be expressed…

A: This is a problem related to set theory. Based on the general formula and concept we will answer the…

Q: QUESTION 11 Let x = {1,2,3,4,5,6} and y = {a,b.c,d,e.f} Which of the following functions is not…

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Q: 8) Indicate if the relation is a function. • 3+ 2+ + -2 -1 -1- ++ -5 -4 2/3 4 5x ·-2+ Find the…

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Q: '0 (Fhop (4) (d) det(4) is non-real. (e) det (A)

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Q: II. Let U = R I= {x €R|x° – 14x² + 45x = 0} J= {xe R]x* 2}. Find the following. All infinite sets…

A: Now,   x5-14x3+45x=0  ⇒x(x4-14x2+45)=0⇒x(x2-5)(x2-9)=0 ⇒ x = 0, ±5, ±3Therefore, I= {x∈R :…

Q: Express each of the following in the form a + bi. 4. cosh(1 – i2)

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Q: 4. -130° Radian Measure Positive coterminal angle Negative coterminal angle

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Q: 3. Which of the following is the cofactor of the entry -l of the matrix A in tlhe previous item? (a)…

A: We have to find the cofactor.

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Q: he convergence of the series: 8. ek k-1(2k + 1)!

A: We will check the convergence.

Q: Compute I. P = $4500, r = 6%, t = 14 months

A: As we that the expression for the simple interest: I=P×r×t100 Where: 'P' is the principal, 'r' is…

Q: Determine if the following is a polynomial.  -3x-2

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Q: Sales of portable MP3 players grew approximately exponentially from ​$0.05 billion in 1999 to ​$0.60…

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Q: 4.5) 7.56

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Q: Write an equation for the graph in the form y= a(x - h) are integers. + k, where a is either 1 or -…

A: We find the equations of parabola that is in this given form-  y = a(x-h)2 +k ; where a is -1 and 1.…

Q: Determine whether ? = [−9, −4,1] can be written as a linear combination of   ? = [−1, −2,1] and ? =…

A: We have to determine whether vector can be written as a linear combination of other vectors.

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A: We have to find the height of the center, period and graph.

Q: Solve each equation. Show all work! 1. 7 · 10" = 700 2. 3· 102y = 3, 600 5 3. 5· 2" 16

A: TOPIC- EXPONENTIAL FUNCTION

Q: The graph shows a region of feasible solutions. Use this region to find maximum and minimum values…

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Q: D. In the example above, the eigenspace is ... and the set of all eigenvectors is ... E. Does the…

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Q: What are the amplitude and period of the function graphed below? -1.5 1- -0:5- 3 -0:5

A: On solving this we will get

Q: At 12:15, the end of the minute hand of a clock is 8 feet above the ground. At 12:30, it is 6.5 feet…

A: We can explain the answer in the following steps.

Q: : Define nilpotent element. Are 1 and 3 nilpotent elements of Z,?

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Q: Fill in the missing values to make the equations true. (a) log, 2 - log, 7 = log,| (b) log.+ log, 7…

A: Use property of logarithm

Q: Let v = (1, 2, 3), w = (3, 2, 1), and o = (0, 0, 0). Which of the following sets are linearly…

A: We can solve this as follows:

Q: 6. How much would Abraham receive if he invest P100,000 for 4 years at 11% simple interest? (Round…

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Q: 1. Find a matrix A with 25 as an eigenvalue with eigenvector v1 and 0 as an eigenvalue with…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: A theater company presents a play in a theater with a capacity of 2,000 spectators. With the ticket…

A: let  number of time price drop by a dollar = x ticket price = 20 - x Attendance = 1000+100x

Q: Find the numerical value of the area under the standard normal curve that is greater than 1.67.

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Q: 18) Ed invests $50,000 in two funds. One fund is a high risk fund, and pays 14% interest. The other…

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Q: Question content area top Part 1 An election ballot asks voters to select five city commissioners…

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Q: Find an equation of the circle passing through the points (-1, 3), (-4, 6), and (2, 2). Need Help?…

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Q: Farmer Fred has pigs and chickens, and no other animals. Pigs, of course, have 4 legs and chickens…

A: We have to deal with the system of equations in this question.

Q: Problem 3 Here is a point on a circle centered at (0, 0). (6, 8) Which equation defines the circle?…

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Q: Compare the functions shown below: g(x) f(x) y -3 -27 2 -2 -8 -1|-1 h(x) = (x + 4) + 2 -4 -3 -2 2 3…

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Q: 2. Determine the standard form of the following polynomial: p(x) = (2x²+1)(x²-3)

A: Determine the standard form of polynomial

Q: QUESTION 15 Find the inverse function of 8-2x f(x) = 4x -3 O 3x +8 4x +2 O 3x +8 4x -2 O 3x -8 4x +2…

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Q: projection of u along i is

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Q: Consider the rational function graphed below. 10 8 4 2 -10-8 -6-4-2 0 4 6 8 10 .4 2. 6. 8.

A: We have to choose correct option