i. Given that loga P = 0.7and loga q = 2, find loga p², loga p² q and loga(apq) %3D

Q: Consider the following table: Possibilities for a Possibilities for b x -4 Possibilities for c…

A: From the given table

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A: Given:      a)  4-2k-843    Adding 2 times the first row of the matrix above to the second row we…

Q: Q.28 Using appropriate identities, factorise the following: (i) 49a? +70ab+25b² (ii) 9a² +6a+1-25b²…

A: Note: as per our guidelines we can solve only 3 sub parts so please repost rest part in other…

Q: 2. For a certain type of tree the diameter D in feet depends on the tree's age t in 5.4 years. This…

A: Find the diameter of a 20 year tree

Q: Find a basis for the nullspace of the matrix. (If there is no basis, enter NONE in any single cell.)…

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Q: Determine the value of the given element of the matrix A= 1 1 9 4 3 8. 1 11 7 2.3 1 6 6 9 a

A: (a)41 represents the element of the matrix A which is at fourth row and first column.

Q: 1. Proof the remaining Dot product properties Let a = (1,2, –3), b = (0, 2, 4), and c = (5, –1,3).…

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Q: The number of bacteria in a certain population is predicted to increase according to a continuous…

A: Given problem The number of bacteria in a certain population is predicted to increase according to a…

Q: [2 For A = 3 1- and B = : . compute these answers (and noching more): [1 0 41 |1 0 6 (a) column 2 of…

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Q: The functions f and g are defined as follows. f(x)=+3x^3+5 g(x)=−5x+2 Find f(−3)…

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Q: 7) Find the value of z-score, when the mean = 70, standard deviation =6 and the x value of interest…

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Q: 3 Q.11 If x = , is a zero of the polynomial 2.x + kx–12, then find the value of k 2 The polynomial…

A: Let's find.

Q: 2) f(x) = 2 -1 Domain Range Zeros x-intercept 3 y-interċept Continuity Increase Interval Decrease…

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Q: Suppose that the functions h and g are defined as follows. h (x) = (3+x)(-4+x) g (x) = 1-7x (a) Find…

A: Given functions h(x)= (3+x)(-4+x) g(x) = 1-7x

Q: Suppose that P dollars in principal is invested in an account earning 3.9% interest compounded…

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Q: Let S = { all (x, y) with æ and y rational numbers j. (a) What is the interior of S ? (b) What is…

A: We know interior of the set of rational numbers is empty and boundary of the set of rational numbers…

Q: How do I convert the value 0.03 as months or days?

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Q: Determine the interval(s) on which the function is (strictly) decreasing. Write your answer as an…

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Q: Determine the area (i, ii, iii and iv) of the following in terms of a, b, c and d. Simplify the…

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Q: Finding the Principal: Complete the table.​ Principal Rate Time Interest 12%…

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Q: (a) A straight line passes through the points (3, –) and (-3, 4). (i) Calculate the gradient of the…

A: Equation of a line passing through the points (x1,y1) and (x2,y2) is given by, y-y1=m(x-x1) where…

Q: Find the length of an arc of the curve y = In x from x = 1 to x = 2v2. !3! O 2.1206 2.1026 2.1602…

A: We know that arc length of the curve f(x) from a to b is defined as Arc Length = ∫ab1+f'x2dx Given:…

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Q: Write the equation of the ellipse 9a²+ 16y² – 90x – 32y + 97 = 0 in standard form a2 (x – h)? (y –…

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Q: Assume that the universal set is the set of all lower case letters in the English Alphabet. Consider…

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Q: Let A and B be sets. Define precisely (but concisely) what it means for A to be a subset of B

A: Let, A and B be setswhat it means for A to be a subset of B.

Q: Suppose that $6000 is placed in a savings account at an annual rate of 4.2 %, compounded monthly.…

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Q: -2 3 and B -3 2 3 and C = 1 A = -3 Add AB to AC and compare with A(B+ C). AB + AC = A(B+ C) = Does…

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Q: Solve the system of equations 5x – 5y = 130 8x – 2y = 406 by converting to a matrix equation and…

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Q: A bacteria culture initially contains 2500 bacteria and doubles every half hour. Find the size of…

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Q: Solve for the following: 1. A team of 17 softball players needs to choose three players to refill…

A: Note: In the given questions there are only 4 questions.there is no question number 5. So according…

Q: If you use Cramer's Rule to solve the following linear systen 21+2x2 6 %3D then T2 is equal to T1-…

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Q: Supply the missing statements or reasons to complete the proof of the tollowing. 1. Given: ZG L;V…

A: To complete the given table. Here, given that ∠G≅∠L; ∠V≅∠B & IG≅UL

Q: G 15+4 - Google Search E SKI plans Math Science Sixth grade > FF.12 Area of compound figures with…

A: According to given, Area(A) given is divided into smaller areas for calculation purpose, We know…

Q: Problem 3 Let R be any ring with ideals I and J such that J CI Let 1/] = {a +J| a e 1} Prove…

A: NOTE:- AS POSTED MULTIPLE PART OF THE QUESTION, I WILL ANSWER ONLY FIRST THREE PART AS PER BARTLEBY…

Q: Solve the quadratic equation using the quadratic formula.  -x2=24x+144

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Q: to give to her Father, Breanna had a ba sket OF apples . she de cided away 2 OF her appler plus 1 /2…

A: To find the number of apples that was at the beginning.

Q: x + 1, then find the value of a. The polynomials ax - 3x² +4 and 2x - 5x+awhen divided by (x – 2)…

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Q: 9 Find a, b and c, given that the following pairs of polynomials are identically equal. а ax? + bx +…

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Q: 9. E (-1)" - '(4m)- · 1 m = 3

A: Solve the following

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Q: Find the eigenvalues of A and a basis for each eigenspace. (a) A = 0 −1 1 2 (b) A = 3 0 −2 −7 0 4 4…

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Q: Express the problem as a system of equations using slack variables. (Use s1, S2, ... for the slack…

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Q: 8х + 12 Graph the function f(x) x2 4x – 12 Make sure to place a "Dot" on the graph for any Holes.…

A: Explanation of the answer is as follows

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Q: A ball is thrown from an initial height of 7 feet with an initial upward velocity of 18 ft/s. The…

A: Follow next step

Q: 18. Estimate the instantancous rate of change of the function f(x) = x' +4x - 11x-30 at x = 1. Round…

A: Given,  f(x)=x3+4x2-11x-30, x=1

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Q: Give the reduced row echelon form of the augmented matrix 5 0 200 - 11 -3 0 250 9 1 400, 18 33

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Q: Suppose that  $2000  is placed in a savings account at an annual rate of 6%, compounded monthly.…

A: We need to find time.