A ball is dropped from a height of 500 metres. The table below shows the height of each bounce. How high does the ball bounce on the sixth bounce

Q: A scientist wants to find the average weight of fish living in a large pond. So she will use the…

A: Concept: Average: To find the average of the given system first find the sum of the elements of the…

Q: The diagonal of a square is the sum of ist eight consecutive fibonacci numbers. Find the area,…

A: First eight Fibonacci numbers  0, 1, 1, 2, 3, 5, 8, 13   Sum of numbers =0+1+1+2+3+5+8+13=33

Q: 1-3, Write the following in Hindu Arabic symbol. 1) Five hundred twenty-nine thousand, six hundred…

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Q: What is the solution set  |5x-7| <8

A: Topic = Inequality

Q: To solve a quadratic equation using the quadratic formula: 1. Write down the values for a, b, and c.…

A: Given : A quadratic equation. To find : value of x using the quadratic formula.

Q: Find the coordinate of A(-4, 6) after it has been otated 90 degrees counterclockwise, reflected ver…

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Q: 2 dy 1. (x²-1) + 2y = (x + 1)²

A: You have asked multiple questions and not mentioned which question answer you need so according to…

Q: 01: A. Find the general solution of the following Initial Value Problem (IVP): y +9y-10y = -40t²-72t…

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Q: 5. Write an expression that represents the perimeter of the figure shown below. Simplify completely.…

A: We are authorized to answer one question at a time, since you have nit mentioned which question you…

Q: (6a2b-2)-2/(2a-1b)-2

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Q: How can you find the domain and range of the function? Also, how can you solve for the solutions of…

A: Here we have to give the answer by observing the graph.

Q: Write an equation for a linear function whose graph has the given characteristics. Horizontal,…

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Q: 8. Find the four consecutive numbers whose sum is 74

A: We need to find the four consecutive numbers whose sum is 74.

Q: Ot=6 is a solution to 4t - 3 = 21 Oz=8 is a solution to - z+1= -7 Oc= 12 is a solution to to c-2= 2=…

A: Topic:- algebra

Q: 2. Erica changed y = 2x² + 5x - 7 into vertex form. Explain each step in her solution below. y =…

A: We will carefully observe all the steps first and explain it.

Q: Solve for all values of x. X x + 7 x-1 1-2

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Q: Use the pair of functions to find f(g(x)) and g (f(x)). Simplify your answers. f(x)=√x+6, g(x) = x²…

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Q: Let A, B, and C be sets. Prove that: Ax (B\C) = (A x B) \ (A x C).

A: Given problem:- Let A, B, and C be sets. Prove that:   Ax (B\C) = (A x B) \ (AXC).

Q: 2 49. Critical Thinking Show two methods of factoring 4x² - 100.

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Q: What is the radian measure of a 300º angle  150π 3π/5 5π/3 2π

A: Given query is to convert degree to radian.

Q: A cylinder has a radius of x + 2 units and a height of 3 units greater. Express the volume of the…

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Q: 3. D= -T 1 -2 3 1 5 -9 6 -1 2 -6-2 2 8 6 ܐܠܟ 3 1

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Q: 2. Find the Cartesian (x+iy) form of this complex number 3π 3π Z=4(cos + 2 isin 377)

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Q: Ms. Chen gave her students a biology test last week. Here are the test scores for each of the twelve…

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Q: The solution is: x1 = x2 -9 A=[53], ²= [2] 2 and b = —

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Q: Simplify the expression. 4/8+ 3/8 =

A: We want to simplify the given expression.

Q: Term -Y 2t -3abc 1 6 x Identifying Coefficients Identify the Coefficient for each Term Coefficient X…

A: topic - algebra

Q: 3 5

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Q: Use the points M (0, 23.5); N (30, 37.2) and P (60, 35.8) to find the equation that predicts y from…

A: We have to find the height of the ball was when it was 120cm from the y-axis, coordinate of the…

Q: 2- yy'= √√√y³ - y² 3 [y (0) = 16]

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Q: 5. Is the function given by g(x) = 4x³. 6x continuous on R?

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Q: Find the zeros of the function algebraically. (Enter your answers as a comma-separated list.) f(x) =…

A: We have determine zero of the function algebraically

Q: A right angle is open more than an obtuse angle.   C.             Volume 90%

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Q: log 3 5 + log 3 (x + 7) = 1

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Q: Find the period of the function. y = 5sin 4θ

A: To find the period of the given function.

Q: -3 x - -3 x -9 x - бу + + 6y + + 6y + 3z 3 z hz -4 4 k

A:

Q: The function f is given by f(x) the graph of f for a positive value of x. A: y = 10. e y = 500. e y…

A: We will solve the problem

Q: Consider two options for purchasing a Honda Fit LX: one is a brand new 2020 model with a…

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Q: a) Z (AB) U (ANB) = b) Z = (PUQ) n (Qns) ก c)Z = Sn (PUS) n (Qus) n P n Q n S

A: Simplify a Z=A-B∪A∩Bb Z=P¯∪Q∩Q¯∩S¯¯c Z=S∩P∪S¯∩Q∪S¯∩P∩Q∩S¯

Q: A basketball is thrown, and its height above ground is represented by the function f(x) = -3x² + 10x…

A: Given the graph is

Q: Exercise 4.27 Let A be a given matrix. Show that the following two state- ments are equivalent. (a)…

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Q: Simplify the expression cot^2⁡xcos^2⁡x/cot^2⁡x−cos^2⁡x  -1 2 1 -2

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Q: Characteristics of Algebraic Expressions +21x + 15 24 Consider the algebraic expression 7 - 22x¹ -…

A: The given algebraic expression,         x7-22x4-x324+21x+15

Q: Suppose we want to choose 3 objects, without replacement, from the 4 objects pencil, eraser, desk,…

A: topic- permutation and combinations

Q: 35 30 25 20 15 10 5 f(x) g(x) 0 0 1 3 4 5 6 7 Which statement BEST explains the behavior of the…

A: Solution: From the figure we can say option D is correct

Q: Which expression is equal to tan⁡x−1/tan⁡x+1 using identities? 1+cot⁡x/1−cot⁡x cot⁡x/1−cot⁡x…

A: Topic:- trigonometry

Q: A. sin 45° B. tan 60° C. cos 270° =

A: This question can be solved using the given figure.

Q: Use a graphing utility to determine whether A is orthogonal. 3 0 A = 0 1 0 0 Find the following. A-1…

A: To find the inverse and transpose of a matrix A and tell whether matrix A is orthogonal or not.

Q: You just purchased a rectangular waterfront lot along a river's edge. The perimeter of the lot is…

A: We have to find the the lot's dimensions.

Q: 15. Suppose that the characteristic polynomial of some matrix A is found to be: p(a) = (λ— 4)³ ((A −…

A: