The ratio of the 8th and 3rd term of a GP is 243. What is the common ratio of the progression?

Q: 2. Write as sums and differences of logarithms by separating it into 4 different terms. Simplify, 4…

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Q: Evaluate the function at the given expression. f(x)=x2−3x f(x−1)

A: Given that fx=x2-3xTo find :fx-1Solution :Replace  x to x-1fx-1=x-12-3x-1

Q: Let A and B be matrices defined as and B= 10 Find a matrix X which satisfies the following matrix…

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Q: å = 8î + 4ĵ – 8k b = -i - 2j + k

A: This question is based on dot and cross product.

Q: If y varies inversely as x, and y = 11 when x 8, find y when x= 10. ... y = (Simplify your answer.)

A: y varies inversely as x, and y=11 when x=8

Q: Suppose that the manufacturer of a gas clothes dryer has found that, when the unit price is p…

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Q: Niña signs a 90-day simple discount note with a face value of P45,000 and proceeds of 43,706.25.…

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Q: x+3 Refer to the given functions: S(x) =x-4 and g(x) = **2 2 What is the value of: (f(g(4)) ? O 3/4…

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Q: If A and B are sets, then P(A) U P(B) = P(A U B). Select one: o True o False

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Q: Part 3 of 4 (c) f(x)>0 The solution set is (0,0) (0,0) (0,0) (0,0) {} DUO 00 -00 Part 4 of 4 (d) ƒ…

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Q: Freddy makes 20% more than Albert but Freddy makes 15% less than Sally. If Sally makes $14175 more…

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Q: tion size after 9 years. ary.

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Q: The graph of a rational function is shown below. Write the equation that represents this function.

A: Given graph has hole at  point   (4,3)

Q: Suppose that the functions r and S are defined for all real numbers x as follows. r (x) =x-3 s (x) =…

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Q: Four different linear functions are represented below. Function 1 Function 2 10- y 8- -2 -7 6- -1 -6…

A: Four different linear functions are given as

Q: Please solve the problem solving below: 1. A farmer visits his barnyard to find that the cows and…

A: Cow has 4 legs and rooster has 2 legs  So if total legs are 88

Q: Fill in the missing terms in the Arithmetic Sequence. .., -12, 1 | Select | | Select I [ Select J ,…

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Q: Suppose f(x) = x 2 +3 and g(x) x - 2. Which of the following is a formula for (f - g)(x)? O (f -g)…

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Q: Suppose that the functions g and h are defined for all real numbers x as follows. g (x) =x h (x) =…

A: use the algebra of function  to evaluate the expression.

Q: An object with initial temperature 140° F is submerged in large tank of water whose temperature is…

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Q: The graph of y=f(x) is given. Solve the inequalities. Write the solution sets in interval notation…

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Q: At what time after 12:00 noon will the hour hand and minute hand of the clock first form an angle of…

A: Solution: Let after x min past 12.00, minute hand and hour hand makes an angle 120 deg.

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

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Q: The graph of a quadratic function with vertex (-2, 1) is shown in the figure below. Find the range…

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Q: Determine which of the following transformations are linear transformations. OA. The transformation…

A: Linear Transformation :   Let T:U →V be a Linear transformation if  (i)  T(u+v) =T(u)+T(v)(ii)  Tαu…

Q: If we take twice one number and add three times a second number, we get 47 while the difference of…

A: Given : Addition of the twice of the first number and three times the second number is 47.…

Q: Peric My A My A S Prac 4 03FF S Day 4 Sear 6 e-ha My/ 合 b…

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Q: The graph of a quadratic function with vertex (0, 3) is shown in the figure below. Find the domain…

A: We need to find domain and range.

Q: 2 E AUB implies that 2 E A and 2 e B. Select one: O True False

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Q: Refer to the given functions: (x) =x-4 g(x) and 'hich of the following is equal to: g(/(«) g(/(x)) =…

A: Given query is to find indicated composite function.

Q: A website offers mp3 downloads for a fee of $5$5 plus $0.15$0.15 for each song. Which choice gives…

A: A website offers mp3 downloads for a fee of $5 plus $0.15 for each song. Find an expression that…

Q: Refer to the given functions: S(x) = x -4 and g(x) = **3 x+3 2 Which of the following is equal to:…

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Q: xp 2х - у dt

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Q: If you were given this line, what would be the next step in constructing parallel lines? O Plot…

A: We can find the correct answer as below.

Q: Find the sum of the first five terms of the sequence with the given general term. an = 4n

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Q: Find the standard matrix of a linear transformation T: R° → R° given by the formula - (E)-L T -3x1…

A: Here we have to find the standard matrix of a linear transformation .

Q: Since k > 10, <k – 2 < By inductive hypothesis, P(k – 2) is true. Further, k + 1 = + Hence, P(k + 1)…

A: We have to fill in the blanks.

Q: y x3 + X-l=o soLve X 4メ

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Q: If T : R –→ R° is a linear transformation such that (E) 2 1 T T 2 T 3 3 --) (E) then T || ||

A: Let's find.

Q: A firms production function is Q(L) =15Ľ² –0.1Ľ' , where output (Q) is a function of a single input…

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Q: Convert the equation f(t) = 182e-0.24t to the form f(t) = ab %3D Give answers accurate to three…

A: f(t)=182e-0.24tf(t)=182e-0.24tBy comparing with f(t)=abt

Q: e first six terms of the se n - 1 n -2 f(n) 2 3

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Q: Once an antibiotic is introduced to treat a bacterial infection, the number of bacteria decreases…

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Q: Make up a question that has 25 -1 as its solution. Explain.

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Q: Solve the system of linear equations 3x - 2y = -3; 2x + 5y 17 using matrix inverse method. on The…

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Q: 6. If 16 and log,(x – y) = 2, calculate the values of x and y algebraically. 1/2

A: Given,12x+y=16and log8x-y=2

Q: Four different linear functions are represented below. Function 1 Function 2 104 y 8- -2 -7 - 1 -2…

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Q: ind the x-intercept(s) and the coordinates of the vertex for the parabola y=-x´-10x-25. If there is…

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Q: A red maple sapling was 3 feet tall when planted in 2010. Six years later, the tree was 18 feet…

A: Linear model

Q: 1. A car tire has a radius of 20 cm. How far wil it go in 120 turns? Step 1-Read and understand •…

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