NASA launches a rocket at t=0 seconds. Its height, in meters above sea-level, in terms of time is given by h=−4.9t^2+112t+122 How high is the rocket after 9 seconds?    meters How high was the rocket when it was initially launched?

Q: Show that in any collection of 7 or more natural numbers there are ALWAYS TWO numbers whose sum or…

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Q: ind the value of (-1-√√3i) 267

A: Please refer to the image below

Q: Q1\ Find the domain and the range for the following functions. choose only two 1- y = 1\(1 + x²) 3-…

A: Domain and range of function

Q: solve and show work You invest $350 in an account at 8% interest Compounded for 5 years, How much…

A: Let's find money in account at the end of the 5th year.

Q: Isabel went on a 52 mile trip to a soccer game. On the way back, due to road construction she had to…

A: On solving this we will get

Q: Antonia rows a boat downstream for 81 miles. The return trip upstream took 18 hours longer. If the…

A: Given:     Downstream = 81 miles     Upstream = 18 hour longer    Current flow = 3 mph

Q: 3 Select the expression that is equivalent to 6x 2

A: answer is in next step

Q: 7 6 A= 1494 B= -7 -3 BA= 3 -5 0 -3

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Q: Show complete solutions: What are the values of k for which the linear system given is inconsistent?…

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Q: 2. Find x such that a straight line passing through two points (x + 1, −5) and (3, x) has slope 5x+3…

A: Use slope formula

Q: Editing Drawing Question #8 Determine how much money was invested, if you made $5,000 after 3 years…

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Q: The radioactive element carbon-14 has a half-life of 5750 years. A scientist determined that the…

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Q: Give the following ratios in simplified form. (If the given quantities are incommensurable, enter…

A: Last part is not clearly visible. Thankyou

Q: Two airplane leave an airport,and the angle between their flight paths is 40°. An hour later, one…

A: Here we have to find the distance between 2 planes by using law of cosines.

Q: The hypotenuse of a right triangle is 55 inches long. One leg is 3 inch(es) longer than the other.…

A: topic- Pythagoras theorem

Q: A parabola can be drawn given a focus of (-6, 8) and a directrix of y = 2. Write the equation of the…

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Q: 1 azb3 (a) Simplify 3 a 2b4 (b) Solve 2x-1 = 64 and give the answer with positive indices.

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Q: Round 65.0604 to the nearest thousandth.

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Q: 1. Let A = 2 4 a. Find A + B b. det[b] c. 2C 2 B = -1 3 4 1 0 1 04 C = -1 1 2 0 1 3

A: we can add same order matrix  We can find square matrix determinate

Q: -5 5

A: The range is the set of possible  values, which are shown on the y-axis.

Q: If f(x) = 2x 3 – 1 and g(x) = -x 2 – 3 find 4f(-2) + g(-1)

A: Topic:- function

Q: Use the given nth term formula to compute the first five terms of the sequence. an = 5n2 − 2n a1  =…

A: To find the first five terms of the given sequence.

Q: 2. Using power series, evaluate lim x-0 sin x - x 3 x

A: The power series expansion of sin x is sin x=x-x33!+x55!-x77!+ ...

Q: Is 8 a solution to the equation 5(x-3)=4(x+1)

A:

Q: 3 By direct partial integration, Solve the following PDES 8- 8²u axdy = ceBX Cosy SXUCX,#) Ex u(π,…

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Q: The input-output diagram represents F(x)=x+4. What is the missing output value? F(x) Input Output 7…

A:

Q: The formula to convert from Celsius to Fahrenheit is F=-C+32. The temperature on a 5 summer day in…

A: We will convert this Fahrenheit to degree Celsius temprature in this question.

Q: Given x = (-1, -2,-2), u = (0,1,4), v = (-1,1,2), and w = (3,1,2) in R', find a, b, and c such that…

A:

Q: Let f(x)=x-1 and g(x) = 5x². Perform the function operation and then find the domain of the result.…

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Q: 42.Suppose the prefix form of an expression is + c - d * fg. What is its postfix form? A. cd+fg*-…

A:

Q: A bag contains 4 red marbles, 8 blue marbles and 2 green marbles. If two marbles are drawn out of…

A: Given probability is evaluated.

Q: There is a spinner with 13 equal areas, numbered 1 through 13. If the spinner is spu one time, what…

A: We will solve the problem.

Q: Randy wanted to change all the light fixtures in his home. He found a great deal at the local store…

A: Since you have asked multiple questions we will solve the first question for you . If you want any…

Q: What is the maximum value? At what point is it obtained? Solve the given linear programming problem.…

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Q: Find the inverse matrix using its adjoints. 1 -2 3 M 4 -5 6 how complete solution. || -2 3 -5

A: We have to find out inverse

Q: Many times a tweet will be tweeted and then retweeted with the possible number of retweets growing…

A: see below the answer and explanation

Q: 43.Given that Tree A is bipartite, which of the following gives the grouping of the vertices of Tree…

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Q: NASA launches a rocket at t= 0 seconds. Its height, in meters above sea-level, as a function of time…

A: solution: The objective is to find  what time does the flash down occur

Q: employer

A: Please refer to the image below

Q: Find two functions f and g such that (fog)(x) = h(x). (There are many correct answers. Use…

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Q: Linear Systems. (a) Find the solution set of the homogeneous linear system below. x + y + 2z = 0 y…

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Q: • What is the nature of the roots of 3y"+15y+33? What is the nature of the roots of 4y"-12y+16?

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Q: Use laplace transform. Evaluate 2y"+3y'-2y=te^(-2t) , y(0)=0, y'(0)=-2

A:

Q: 10- 8 6 4 2 2 10 -8 -6 -4 -2 6 8 10 -2 -4 -6 -8 -10- a Find the equation of the line in the form y =…

A: Topic = Geometry

Q: What is the variance, σ2, in the math test scores shown in the table below? Math Test Score (%) 84…

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Q: A binary operation a*b = a + b (logical operation IF-AND-ONLY-IF) defined on {True, False} is A.…

A: We will use the truth table for the given problem.

Q: Find the distance between the two vectors. u = (24, 14, 19), v = (-4,4,7) Select one: O A. 50 OB.…

A:

Q: 4 n n Given that log 20.571, log 4≈ 1.141, and log 6≈ 1.476, find log n

A:

Q: 1. Graph each equation in a rectangular coordinate system. 3x+12=0 2. a. Rewrite the given equation…

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Q: SOLVE FOR X y = 1 + sin (7)

A: Solve equation for x