PROBLEM SOLVING A person who is six feet tall casts a 3-foot-long shadow. A nearby pine tree casts a 15-foot-long shadow. What is the heighth of the pine tree? The height of the pine tree is feet.

Q: a pool holds 19,900 gallons of water. There are two hoses that can be used to fill the pool, a large…

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Q: t of the quadratic equation below. Use the value of the discriminant to determine whether the qu ex…

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Q: Compute the cross Product of the vectors u and v below. uz и 2 3 V= U.V= 2 19 4

A: The vectors areTo determine: The cross and dot product of the vectors.

Q: MULTIPLE CHOICE Examine relations A, B, and C below. INPUT 1 A AWNE B 2 с 3 Relation A 4 Remember:…

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Q: Find the standard form for the equation of a circle (x − h)² + (y — k)² = r² with a diameter that…

A: .

Q: Tutorial Exercise A model used for the yield Y of an agricultural crop as a function of the nitrogen…

A: For the best yield , we need to maximize.

Q: I need help answering the bottom question that's left blank, and I need help understand how to get…

A: The objective of the question is to calculate the monthly deposit required to reach a retirement…

Q: Graph the exponential function. f(x)=4* Plot five points on the graph of the function, and also draw…

A: To draw the graph of the function f(x) = 4x and find the asymptotes.

Q: Problem 1 Find a basis for the following subspace of the vector space of polynomials of degree < 3:…

A: Notation of basis:-

Q: What's the terms worth?  3x - 3/4x² + 5x - 1/2x² + 3/4 + 2x² for = 1/2

A: We have to find the vvalue of x for which given equation equals .Given equationSimplifying the…

Q: Given that: 4x2 +3y = 2z . Which of the following are true? a. 3y=2z+4x2 b. 2z=4x2-3y c.…

A: Given that: To determine the true statement.

Q: This table shows the number of subscribers to a video streaming service in the first six years after…

A: The table shows the number of subscribers to a vedio streaming service in the first six years after…

Q: 1. To solve problems involving coins-pennies, nickels, dimes, and quarters-use the same unit of…

A: In this question, we will see how many coins patria has.

Q: How many 2-letter words can be made from the letters WASTEFUL if repetition of letters is allowed?…

A: Total number of letter is 8

Q: Of 13 possible​ books, you plan to take 4 with you on vacation. How many different collections of 4…

A: The objective of this question is to find out the number of different collections of 4 books that…

Q: 5. Suppose that a is a positive integer relatively prime to 10. Show that a divides infinitely many…

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Q: a) It is possible to have infinitely many solutions for the linear system where k is any real…

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Q: Perform the indicated operations. Write the answer using only positive exponents. Assume all…

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Q: Refer to functions n and p. Find the function and write the domain in interval notation. Write any…

A: Given that the functions  to find the composite function, using the formula

Q: For the quadratic function f(x)= -x + 8x. answer parts (a) through (c). (a) Graph the quadratic…

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Q: Select the correct representation of the expression 12 - (3-x) without brackets. a. -36 - 12x b.…

A: The given expression is

Q: Solve the following systems of equations for the unknown variables. Enter your answer in (x, y)…

A: The system of equation is given byTo determine: The solution of the system of equation.

Q: MODELING REAL LIFE A map shows the number of steps you must take to get to a treasure. However, the…

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Q: 1. Find 4 -53 0 | | Td 205 -3 4 1.

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Q: A pollster wants to minimize the effect the order of the questions has on a​ person's response to a…

A: The objective of this question is to find out the number of different ways the 5 questions on the…

Q: A ball is thrown vertically upward. After / seconds, its height h (in feet) is given by the function…

A: A ball is thrown vertically upward. After t seconds, its height h (in feet) is given by the function…

Q: If u and v are the vectors below, solve the following equation for the vector x. 2 -3 3 4…

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Q: -2 2.0 (19) (33) 3 2 -2 3 2 -7, 31 120 (29) (1) 2 -1 4 04

A: To find the product of the matrices.

Q: Consider the following system of equations. 2x + y 2z = 3 x + 3y - z = -11 -4 3x + 4y z = Write the…

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Q: n ice cream store sells 3 ​drinks, in 4 ​sizes, and 8 flavors. In how many ways can a…

A: An ice cream store sells 3 ​drinks, in 4​sizes, and 8 flavors. In how many ways can a customer order…

Q: 16. 3 7 + y²-3y+2 ² - 1

A: 16. 3y2−3y+2+7y2−1

Q: et L₁ be the line passing through the points Q₁(-5, 2,-5) and Q₂(-14, -7, 1) and let L₂ be the line…

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Q: 23. √63-√28 Radical Expressions

A: To solve the expression  .

Q: d) If A is invertible and AB = 0 then, B = 0.

A: we are given that A is invertible and AB=0

Q: Simplify and add or subtract wherever possible. 5)√√20 +5√√245-6√√125 A) -7√√5 B) 52√ √5 6)…

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Q: For f(x) = 3x -8 and g(x)=(x+8), find (fog)(x) and (gof)(x). Then determine whether (fog)(x) =…

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Q: c) If AC = BC, then A = B.

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Q: 15. √27x³y³ - 2x³y√/3y

A: (am =ama

Q: Consider the following vectors: a= 3 71 = NIT 2 -6 -4 b'= 0 9 For each of the following vectors,…

A: The given vectors are:Write all three vectors in the matrix A

Q: nd the original price of a pair of shoes if the sale price is $36 after a 60%

A: Find the original price of a pair of shoes if the sale price is  $36 after a 60%  discount.

Q: A committee of 4 people is chosen from 6 women and 6 men. How many different committees are possible…

A: Number of people in a committee =4 number of women =6Number of men = 6

Q: Simplify the given expression involving the indicated multiplication and division. 2x²-11x-6 X-2…

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Q: Evaluate the factorial expression. 7!(7−3)!

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Q: Diana has available 160 yards of fencing and wishes to enclose a rectangular area. (a) Express the…

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Q: Problem 4 Suppose R³ T →R3 is a linear transformation with ¹8-8-8-8-8-3 T = 0 T -1 and T 0 Find the…

A: Linear Transportation

Q: 10.3√125 - √500 Radical Expressions

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Q: Graph the solution to the following inequality on the number line. -x² + 4x>3 -10 -9 -8 -7 -6 -5 -4…

A: to graph the solution to the given inequality.

Q: Use factoring to solve the polynomial equation. x³ + 2x²-16x-32=0 The solution set is. (Use a comma…

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Q: If P(A) = 0.3, P(B) = 0.3, and P(A and B) = = P(A or B) = X 0.2, find P(A or B).

A: we have probability of P(A)= 0.3 and P(B)=0.3 and P(A and B)=0.2

Q: Find an explicit formula for a sequence of the form a₁, 32, 33, 5, 10, 20, 40, 80, 160, 320 a = n…

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