In how many ways can 3 different novels, 2 different mathematics books, and 1 biology book be arranged on a bookshelf if (1) the books can be arranged in any order? (2) the novels must be together but the other books can be arranged in any order? (3) the mathematics books must be together and the novels must be together?

Q: An empty swimming pool needs to be filled to the top. The pool is shaped like a cylinder with a…

A: r=d2=72=3.5h=1.6Volume of a cylinder (V)=πr2hSubstitute r=3.5 and h=1.6

Q: Evaluate each expression using the graphs of y = f(x) and y = g(x) shown below. (a) (g o f)(- 1) (b)…

A: Consider the graphs of  functionf(x) and g(x)

Q: 25°

A: We have to find the value of x.

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A: Find the area of rectangle and area of semi circle and then go ahead

Q: Consider the following sequence: 5184, - 2592, 1296, ... a. What type of sequence is the above? b.…

A: The given sequence,    5184, -2592, 1296,.......

Q: т-п n m+n m т m т-п m+n

A:

Q: The sum of the first 30 terms of the sequence -11, -5, 1, 7, … is 2280. True or False?

A:

Q: The table below shows the value, V, of an investment (in dollars) after n years. 12 14 19 V(n) 3000…

A: To Find: a. Determine the exponential regression equation that models the set of data. b. Based on…

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A: Use the given value of a1 for finding the next terms

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A:

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A:

Q: 4. A. Write a polynomial equation for the graph that passes through (1, -40) and has three…

A: Since this is a multiple question, according to the Bartleby answering rule, only first question is…

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A:

Q: Factor 64b-16c64b−16c64, b, minus, 16, c to identify the equivalent expressions.

A: This is a basic factorisation problem

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A: Given problem:- A model rocket is launched with an initial upward velocity of 60 m/s. The rocket's…

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A:

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A: The given figure is:

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A:

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A:

Q: O LINES AND FUNCTIONS D 0/5 Tamara Writing an equation and drawing its graph to model a real-world.…

A: Given,           The Sugar Sweet Company is going to transport its sugar to market. It will cost…

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A: No of week in a year =52

Q: empty gas tank of a truck needs to be completely filled. The tank is shaped like a cylinder that is…

A: radius(r)=diameter(d)2r=1.82=0.9h=3.5Volume(V)=πr2hSubstitute r=0.9 and h=3.5

Q: 104,000 The logistic growth function f(t) = describes the number of people, f(t), who have become…

A:

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A: Simplify the function and calculate the limit

Q: Which of the following is 1 the inverse of f(x)=-x+8? f-"(x)= 2x +16 Option 1 f'(x)= 2x – 4 Option 2…

A: We have to find inverse function

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A:

Q: 5 A 4 1 a. 62 5% P(yellow) b. 12.5% P(A) 25% C. P(any number) B 3.

A: To find out the probabilities.

Q: 2) f(1)=47² -ť², (0<t<2x)

A:

Q: Maricopa's Success scholarship fund receives a gift of $ 115000. The money is invested in stocks,…

A: We want to find how much he invested on each

Q: Solve 16*+2) = 8*. %3D

A:

Q: 9n Write down the first five terms of the sequence a, n+ 5 3 Preview 2 18 a1 = 3/2 dz = 18/7 Preview…

A:

Q: 2. Perry graphs f(x) and g(x) = -f(x) + 5 on the same coordinate grid. Which of the following is…

A:

Q: Jane's savings for the month is 30 less than twice the savings of justin. They decided to combine…

A: In this question we have to find how much is the total they have.

Q: yellow

A:

Q: Please use the red and yellow chips to represent how to solve 8+-3 using the red for negative and…

A: +8: 8 Yellow chips-3:  3 red chips

Q: AatyAGIven that vị = and v2 are eigenvectors of the matrix 11 24 A 3 -6 etermine the corresponding…

A:

Q: 4. Choose the best answer. Two events K and L areif P(K) = P(K | L). %3D certain O impossible O…

A: option (c) is correct. see below the explanation

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A:

Q: Use the graph of f to determine the following. Enter solutions using a comma-separated list, if…

A: Explanation of the answer is as follows

Q: 3. The value of c is given by Vn А. /n+1

A: This is a limit problem

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A:

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A: The given function f(x)=x-5+1

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A: Given, -2x²+2x+3=0 Solving using quadratic formula we have,

Q: Use the distributive property to simplify the expressions. 5(6d+7)  12(3+10v) 11(4+7u) 10(7a+s)…

A: 5(6d+7) =56d+575(6d+7) =30d+35

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A:

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A:

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A:

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A:

Q: Convert the equation f(t) = 394(0.64)' to the form f(t) = ae". Write your answer using function…

A: