Use the properties of logarithms to expand the following expression as much as possible. Simplify any numerical expressions that can be evaluated without a calculator. (ro0 000001)301)301

Q: 38 Evaluate the arithmetic series when (9i +1)

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Q: Find a, and a, for the following geometric sequence. अ-4.r--3 a.

A: We write geometric sequence like this:                 a1, a1r, a1r2, a1r3, ..., a1rn-1,... where,…

Q: Example: Given m(x) = x + 3 , n(x) = x² – 9 , and p(x) = Vx + 1 %3D - Find (n-m) (x) and write the…

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Q: The exponential model A=186.5e0.02t describes the​ population, A, of a country in​ millions, t years…

A: Here, the given exponential population model is: A=186.5e0.02t where A is in millions and t is the…

Q: 4. Convert from degrees to radians. Use 7 = 3.14. Round your answer to three decimal places. 15 4…

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Q: Apopulation of fruit flies is growing in such a way that each generation is 1.25 times as large as…

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Q: The Factor The Use the Factor Theorem to determine whether'x+3 is a factor of P (x) =-x'-4x+9.…

A: Given:- P(x)=-x3 -4x2 +9. Use the Factor Theorem to determine whether'x +3 is a factor of p(x) or…

Q: Jse the Factor Theorem to determine whether x+1 is a factor of P (x) =2x* +2x'-2x-2. Specifically,…

A: Factor theorem states that if x+a is a factor of a polynomial f(x), then a is the root of f(x), i.e.…

Q: Half-Life 19.8 days Decay Rate, k

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Q: What are the features of the function f(x) = - log3 x + 2 graphed below? 12A 11 10 9 7. 6. 1…

A: Let's find.

Q: Mike is in the business of repairing machines. He charges a base fee of Php 200.00 for each visit…

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Q: dropped from a height of 16 feet and rebounds of the distance from which it fellI. How many times…

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Q: Exercise A.2.4. Compute the inverse of the given matrices b) [0 [1 c) [1 4] 1 3

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Q: Identify the congruence statement that proves both triangles below to be congruent. O SAS congruency…

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Q: 19. A sphere has a diameter of 10 in. Find the volume of the sphere. Use 3.14 for pi and round your…

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Q: A president, a treasurer, and a secretary are to be chosen from a committee with 44 members. In how…

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Q: The Polygon Congruence Postulate states that each pair of corresponding sides is congruent and each…

A: Solution ) correct definition of  polygon congruence postulates states that polygon are congruent…

Q: A key property of isosceles triangles is that the two sides of the triangle that are not the base…

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Q: Country Day's scholarship fund receives a gift of $ 160000. The money is invested in stocks, bonds,…

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Q: Solve using A = Aoet The half-life of a substance is 375 years. If 70 grams is present now, how much…

A: Since, the half-life of a substance is 375 years.Also, given that if 70 grams is present now, Our…

Q: Solve the following systems of linear equations using the elimination method. 1.  -4x +2y = 6 -8x…

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Q: x – 2y = 2 2x – 4y – z = 4 3x – 6y = 6 %3D

A: First write augmented matrix and apply row operation to change in echelon form

Q: a. The eider duck, one of the world's fastest flying birds, can exceed an airspeed of 65 miles per…

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Q: evaluate each expression that results in a rational number: a) 125 2/3 b) 81 3/4

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Q: 3. How are the variables related on the graph? A. as speed decreases, height stay constant B. as…

A: The given graph is:

Q: 5. Answer the question by comparing the equation, f(x) = 2 cos ((2+ + 3to the equation, fe) =acos +…

A: topic - trigonometric functions

Q: In Exercises 15-18, let R² have the Euclidean inner product. a. Find the orthogonal projection of u…

A: I am attaching image so that you understand each and every step.

Q: Find the inverse of y= e

A: First swap x and y Then solve for y Y is the inverse of function

Q: Given f(x) = 2x3 - 4x + 42. Find a rational zeros of f(x)

A: Given problem :-  f(x) = 2x3 - 4x + 42.   Find a rational zeros of f(x)

Q: O Expend the brackets (distribute) (x++)(x-) =

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Q: Interpret whether the side lengths of the following triangle are possible. Explain your answer why…

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Q: Let R³ have the inner product (u, v) = u¡v1 + 2u,V2 + 3u3V3 Use the Gram-Schmidt process to…

A: R3 have the inner product,u,v=u1v1+2u2v2+3u3v3u1=1,1,1, u2=1,1,0, u3=1,0,0

Q: 1. Let r,s > 0 be interest rates. Below is a calendar of May 2022 which describes an interest rate…

A: Interest is applied only on the days that are marked as 'r' or 's'.…

Q: Choices for 1-15: A) -3 B) -5 C) -7 D) -9 E) -25 AB) 0.5 AC) 1 AD) 2 AE) 3 BC) 4 BD) 5 BE) 7 CD) 8…

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Q: Segments that measure 10, 10 and 25 units can make a triangle. O True O False

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Q: V2 T 2. Solve the problem. Usesin = landsin 2 Use the formula sin(2a)= 2 sin cos , with x = T to…

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Q: 9. Convert from radians to degrees. Use T = 3.14. Round your answer to the nearest tenth of a…

A: We can convert from radian to degree as below.

Q: 14 The postulate that proves the following two triangles congruent is the: O ASA congruence…

A: From the given diagram  one side and two angles are equal.

Q: If CS1 E0.6042 and E1 USS1.2813, how many Canadian dollars would you receive for USS1,000? Round to…

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Q: what is defintion od hypotenuse

A: Explanation of the answer is as follows

Q: Use the exponential decay model, A = Ao e , to solve the following. The half-life of a certain…

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Q: 口 12. Solve the problem. Use sin =1 and sin Given z = Use the formula cos = 1- sin z to find cos 2 4…

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Q: A 11. Convert from radians to degrees. UseT= 3.14, Round your answer to the nearest tenth of a…

A: Explanation of the answer is as follows

Q: 8. Given the graph of f(x), 4 -2 -1 0 -2 2 3 456 -4 -8 a. Estimate f(5). b. Estimate x such that…

A: Observe the graph and then answer the questions.

Q: Find functions f and g so that fo g = H. H(x) = (8x + 1)4

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Q: Write the rational expression in factored form by dragging the correct factors in the box provided…

A: Solve the given

Q: Answer the following statement with "always", "sometimes", "never", or "not enough information to…

A: Protractor is used to measure an angel with respect to a line.

Q: From an initial population of No, it grew to 35 individuals after 5 years. After 17 more years, the…

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Q: ns of this assertion.

A: Exact differentials : Recall that change in internal energy , dv ,is called an exact differential…

Q: Question 3: Rewrite with positive exponents, and simply. a. 9-1/2 b. (5xy)-4/5

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