A rock falls from a tower that is 160 feet high. As it is falling, its height is given by the formula h=160-16r². How many seconds will it take for the rock to hit the ground (h=0)? Round your answer to the nearest tenth, if necessary.

Q: Write the system of linear equations represented by the augmented matrix to the right. Use x, y, and…

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Q: Find the solution set of the follo X 2(1 + cos x) tan

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Q: Use the Saving for Retirement information above to answer this question. You decide to deposit $180…

A: Given data:- You have to deposit $ each month, P=180$ The retirement fund earning is,…

Q: When a clock reads 4 o'clock, find the distance between the ends of the minute hand and hour hand.…

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Q: 5. Consider the expression (a + b). When expanded it has a first term of 256x¹6 and an eighth term…

A: Given an expression of a+b8 whose expanded form contain, first term as 256x16 and eighth term as…

Q: Find the surface area of the rectangular solid with with length 1 = 8.4 in, width w = 3.7 in, and…

A: To find the surface area of given rectangular solid.

Q: Simplify: 2 x²y³ +12/25 + 1 x³y²

A: We can simplify the given expression by using the cross multiplication method.

Q: QUESTION 16 Sum of two numbers is 67, and their difference is 29. Find the numbers. O 1.40 and 20…

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Q: A payment of $14,575 is due in 1 year, $16,500 is due in 5 years, and $8,300 is due in 6 years. What…

A: Please refer to the image below

Q: Onsider the function of two variables F(x,y) = 4x² - 4xy+4y²+x+y. a. Find all first-order partial…

A: Find out the stationary points and relative extrema.

Q: Which function describes exponential decay? O f(x) = 2(1.01)” Of(x) = 4(8.0) O f(x) = 8(0.17) 2x…

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Q: Given that P= (ad), 428 Engineering Mathematics where a +d=-1 and ad-be = 1, show that and hence…

A: Given Problem:- p=abcd Given a+d=-1 and ad-bc=1 Show that  p2=d-b-ca Hence deduce that  p2+p+1=0

Q: Find the quadratic function f(x) = ax + bx+c for which f(1) = -9, f(-3) = 51, and f(3) = 9. What is…

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Q: V1 – ² dadydz where E is the solid limited from below the cone Calculate the integral E x² + y2 and…

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Q: 1. Find the y-intercept of a quadratic function containing the following points: (2,5), (1,0), and…

A: Given Problem:-  Find the y-intercept of a quadratic function containing the following points:…

Q: QUESTION 7 Solve the Equation: x²-12x+39=0 1. (-5, 4) ○ 2.(-7,8) 3. (8,-4) ○ 4. (6, -5)

A: Topic = Algebra As per guidelines , At a time only one question can be answered.

Q: Which of the following pairs of vectors are linearly independent? u= (1,2) and w = (2,1). Ou= (1,0)…

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Q: Simplify the following expression: (6m³p³)(-2m5p) 0-12m³p4 0-12m³p² 0-12m³p³ 0-12m³p 8

A: Topic = Algebra

Q: One-third of p is added to 8

A: Given: One-third of p is added to 8

Q: 6. Assume that the following determinant calculation is correct. i. Use the properties of…

A: As per the company's guidelines, we are supposed to solve first three subparts for you, kindly…

Q: artifact originally had 16 grams of carbon-14 present. The decay model A = 16 e -0.0001211 describes…

A: Please refer to the image below

Q: Question 7 A Logistic firm purchases a particular type of cargo plane for $50 million. The company…

A: 7. Given:

Q: Find the solution set of the following. 1. 2e²x - 3e¹+1=0

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

Q: 1. Let u, ER" prove that lũ ơi <ll||||||

A: we want to shoe that  u→·v→≤u→v→

Q: A payment of $14,575 is due in 1 year, $16,500 is due in 5 years, and $8,300 is due in 6 years. What…

A:

Q: QUESTION 14: Let M: R³ R³ be a linear transformation such that M(1,0,0) = (0,2,0), M(0,1,0) =…

A: Let M: R3→R3 be a linear transformation such that M1, 0, 0=0, 2, 0, M0, 1, 0=0, 0, -3, and M0, 0,…

Q: Find the length and width of a rectangle whose perimeter is 34 feet and whose area is 66 square feet…

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Q: Evaluate 4 times a number q plus 25 when q =2

A: Given problem:- Evaluate 4 times a number q plus 25 when q =2

Q: Use the four-step procedure for solving the following variation problem. The height that a ball…

A: In the "four-step" procedure, you will find the equation forthe initial variation, solve for the…

Q: Given (1,1), (2,3), (4,5), determine the least squares estimates for m and b for y=mx+b.

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Q: Simplify the expression X 1 x² 6 1 36

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Q: Let f: R2 R³ be a linear map such that f(1,2)= (1,1,2), and f(2, 1) = (2,2,1) which equalitie are…

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Q: If y = 3 x + 1, then y 2 = _____

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Q: Use the table below for the conversion If a car can average 20 miles per gallon, how many kilometers…

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Q: Show with calculations that the total income of selling 600 jackets and 800purses is 58%of one…

A: Given data:-  The total income of selling 600 jackets and 800purses is 58%of one million.

Q: Simplify the following radical expression: √80+ √125 07√5 V 205 9√/5 03√5

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Q: LUI (a) - f(x) = log(5 · xº + 7) − log(12) — 6 - f(1) = (c) line is (b) the curve y = f(x) at x = 1…

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Q: Replace the question mark with either> or <. 1 5x + 4y[?]20 and 2x - 6y[ ]12

A: To replace the question mark with either &gt; or &lt;. 5x+4y?20 and 2x-6y?12

Q: 3) The distance between 3+i 3+i 2-i 2+i and 3+2i 1-i 1+2i 3+2i is: [1] [3+1] i]

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Q: You run a small store on Canal Street in Manhattan. Sunglasses are among the most important items…

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Q: d cubed minus the product of 8 and p plus 9

A: We will express this statement with mathematical notation.

Q: Let V be a vector space over a field ♬ with zero vector 0 and let S, T be subspaces of V. Then which…

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Q: Ann has $10. After spending $x on snacks , she has less than $5 left

A: Given:- Ann has 10$ Now, she has less than 5$

Q: What is the measure in degrees of the angle A = 7π / 6 radians? Select one: a. 210 º b. 120 º c.…

A: we have π radians = 180° hence 1°=π180 radians

Q: Given the matrices, which must be TRUE? M = 12 01 (a) M + N singular (b) det MN=0 (c) N² = M (d)…

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Q: f(x) =x−7 / x+5 Determine if there are any holes. If so give the coordinates of the hole

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Q: Let B = [u, v] be a base for V = R2, where u = (1, 2) and v = (-1,1). We know that every vector w in…

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Q: Calculate the distance between the points P = (-7, 6) and N=(-2, 2) in the coordinate plane. Give an…

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Q: Perform the indicated operation. X-1 X+9 X+1 X-1

A: Take LCM of denominators and then go ahead

Q: 6 is 75% of what number

A: