You need a 95% alcohol solution. On hand, you have a 55 mL of a 50% alcohol mixture. How much pure alcohol will you need to add to obtain the desired solution? You will need ____ mL of pure alcohol to obtain ____mL of the desired 95% solution.

Q: Let T : P3 -→ P3 be the linear transformation such that T(-2x2) = 3x? + 3x, T(-0.5x + 3) = 3x² + 4x…

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Q: Match the written description with the correct inequality. x must be a minimum of 2 x is at most 2 x…

A: 'x' is less than 'y' that is x<y . 'x' is more than 'y' that is x>y.

Q: 5 -5 -4 -3 -2 -1 -2 -3 -4 -5 4. 3. 2.

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Q: Lesson 11 Practice Problems 1. Select all expressions that are equal to log, 8. A. logs 20 B. logs…

A: Solving the problem by finding the value.   NOTE :: As per our Expert guidelines we are supposed to…

Q: a. y = y==x²-2x +3 b.y= -x2 - 2x-3 Cy=x² -2x-3 dy = 2x2 +2x +3

A: The following quadratic equations is a parabola that contains a maximum

Q: Simplify the following expression. Assume that the variables represent positive real numbers. 5/3…

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Q: 3. find At 4 2

A: A detailed solution is given below.

Q: 5. The denominator of a fraction is four less than the numerator. If the denominator is doubled and…

A: The denominator of a fraction is four less than the numerator.The donominator is doubled and the…

Q: Consider the following function. f(x) = x2 − 6x Write the function in the form  y = ax2 + bx + c.…

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Q: Solve the equation below: a) 2(3x-8) - 5 = 2(x-5) +(-2) b) 2-42/6((-3)2+2)

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Q: 1. Express the permutation ( ? 1. 2 3 4 5 In cycle notation. 3. 4 1 2. Determine If the permutatlon…

A: cycle notation.

Q: State sales tax y is directly proportional to retail price . An item that sells for 168 dollars has…

A: This question is related to algebraic equations, we will solve it using given information.

Q: Determine whether x is an eigenvector of A. [. 3 -2 A = -2 6 (a) x = (2, 1) x is an eigenvector. x…

A: Explained below

Q: -1 with a =-1, b =8, c =12, and d =7. Find the d [3 b a Let A : and B 7 difference between the (1,2)…

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Q: -3 3 7 1 3 Let A -1 3 9 3 1 -5 3 5 -1 4/ ases for the row space and column space of A. Hence find…

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Q: The number of bacteria in a certain population increases according to the continuous exponential…

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Q: Find the Geometric Series a1 = -1, r = 3, n 9

A: Given a1=-1, r=3 & n=9we know that sum of n-terms in geometric series is sn=a1(rn-1)r-1…

Q: Skip designs tracks for amusement park rides. For a new design, the track will be elliptical. If the…

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Q: Prove the following identities: 1 1 a) tan x+ tan x sin xcosx

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Q: V. Solving Quadr A. Factor and solve ead 1. x2 + 5x + 6=D0 3) m2 + 2m - 35 = 0 mat7m-s m-35 m (mt7)…

A: In this question , we can factor the given polynomial. Note : As per our Guidelines , we can solve…

Q: I. Find the Laplace transform of each of the following functions and simplify the result. Apply the…

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Q: Prove the following identities: sin? 0 - cos? 0 b) tan 0-1=- sin O cos0+ 0 cos²

A: We can prove the following as below.

Q: How many solutions does the equation have? 2x + 3 = 4x + 2

A: We have to find out the number of solutions

Q: 1. Classify each of the following relations as linear, quadratic, or exponential. a) b) c) d) e) f)…

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Q: Giving a test to a group of students, the grades and gender are summarized below A В Total Male 14…

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Q: A right triangle has a base of 24 cm and a height of 16 cm. What is the approximate perimeter of the…

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Q: Question 5 Formulate but do not solve this exercise as a linear programming problem. Madison Finance…

A: To write the system of inequalities to which objective function is subjected.

Q: 5. The sum of the digits of a three-digit number is 11. The tens digit is three times the hundreds…

A: Topic = Algebra

Q: Determine whether the function is a linear transformation. T: R2 - R2, T(x, y) = (x, 6) O linear…

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Q: 6x^2=-60x+438

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Q: An investment income of $50,000 increases at a rate of 8.3% per year. Find the value of the…

A: Given query is to find the value of the investment after 20 years.

Q: Given the relation A = {(5,2), (7,4), (9,10), (x,5)}- a function? Which of the following values for…

A: We know that function is a relation in which every point of domain has a unique image in codomain .…

Q: Situation Expression The weight of the male G The total weight of the females A The weight of the…

A:

Q: use the properties of logarithms to eXpand each logar thm Shouid invóive 'oniy one vanuböle and…

A: To expand.

Q: 7g°h2 + 3g²h – 2gh³ 14. gh

A:

Q: sult. 1. A(5, 8), where A (b, h) =}bh (A computes the area of a triangle with base b and height h.)

A: Put b=5, h=8

Q: The length of a rectangular driveway is two feet less than five times the width. The area of the…

A: This question is based on area of rectangle.

Q: Determine whether the function is a linear transformation. T: R2 → R3, T(x, y) = (2x², xy, 3y2) O…

A: To determine whether the given function is linear transformation.

Q: Can you show it the short way without using Pascal's method?

A: Given expression is: 2x-3x-26 We have to find x5 term.

Q: Find the eigenvalues and the eigenvectors for the following matrix. 1 -1 -1 -1 %3D 1 I hope for a…

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Q: . Prove that the vector length is preserved by orthogonal matrix multiplication. That is , if x ER'…

A: We have to prove the lemma.

Q: The average remaining lifetimes for men of various ages in a certain country are given in the…

A: x (Age) y (Remaining Years) 0 74 15 60.4 35 42.8 65 16.6 75 10.1

Q: Evaluate each infinite geometric series described. 3 10 3 20 40

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Q: a b Let M be 2-by-2 matrix, with a =7, b =11, c =2, and d =4. What is the determinant с d of the…

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Q: x² + 2 = 5x

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Q: Solve the given linear system of equations: { 3x − 6y = 9 {− 4x + 8y = −12 Enter your…

A: Given 3x-6y=9 Divide 3 on both side x-2y=3                                              (1)…

Q: answer the following. (a) The signal from a certain satellite takes approximately 0.0041 seconds to…

A: We have to find out notation

Q: Each of 4 boys randomly chooses a watch from 11 different styles. What is the probability that at…

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Q: 22. Simplify. 21x'y 8zy O 42?y 16?y 23. Choose the correct expression. 54 57 O 73 O vE? 75

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Q: Find the rate of interest if N2,800 gains N600 in 5 years

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