In a school, 100 teachersare teaching certain classes in three subjects as follows. 60 are teaching Math 40 are teaching Science 50 are teaching English 28 are teaching Science and Math 24 are teaching Science and English 22 are teaching Math and English 10 are teaching all three subjects   How many are teachers are teaching: Math or English? Science and English? Math only?

Q: Verify that the indicated function y = p(x) is an explicit solution of the given first-order…

A: Given first differential equation(y-x)y'=y-x+2To find: y=x+2x+6 is the solution of the given…

Q: 5. The dimensions of a cylindrical object are increased by a scale factor of 3. The volume of the…

A: Follow the procedure given below.

Q: List a. P158.75 b. P865.00 C. P1,300.00 d. P3,650.00 e. P725.00 f. P630.00 g. h. Discount Discount…

A: Given

Q: Use the given right triangle to find ratios, in reduced form, for sin A, cos A, and tan A. sin A = A…

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Q: If the slope of the line (k+1)x+ ky - 3 = 0 is -2, find k.

A: If the slope of the line (K+1)x+ky-3 =0 is 2 find k

Q: 1) From April through December 2000, the stock price of QRS Company had a roller coaster ride. The…

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Q: QUESTION 7 Given the set of data below, find the range. 2, 4, 4, 5, 6, 9 A.2 OB. 7 OC. 9 O D.4

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Q: 10. If M is a point that is 1/3 of the distance from point A to point B, then M divides the line…

A: If a point C divided the line segment AB into n equal parts then the distance between any two…

Q: What will a $90,000 house cost 4 years from now if the price appreciation for homes over that period…

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Q: 6. Find the sum of the sequence below. 1+3+9+ +531441

A: Find the sum of the sequence

Q: 20 B 22 A 24 4. If mzC - 51 in the given figure in no. 3, what is m<B? A. 69⁰ B. 65⁰ C. 60° D. 51°…

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Q: Solve for x: 64" = 256¹+1

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Q: Which of the following represents the graph of f(x) = 2* - 5? -7-6-5-4-3-2-1 3 4 5 6 7 -2…

A: Given: To identify graph of fx=2x-5

Q: Find the area of the triangle below. Carry your intermediate computations to at least four decimal…

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Q: Solve for x 5 60.3 degrees O 80.4 degrees O 117.1 degrees O 130.5 degrees X 10 6

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Q: For a given arithmetic sequence, the 80th term, ago, is equal to 314, and the 4th term, a4, is equal…

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Q: . Use linear algebra techniques to find the center and the radius of the circle a(x² + y²) +bx+cy +…

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Q: Matching Type. Match the functions in Column A with their corresponding antiderivatives in Column B.…

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Q: Convert 100 dollars to "widgets" (1 dollar = 3.94 widgets) 39.4 O 3940 O 394

A: The amount is Amount = $100 To evaluate: The amount in widgets

Q: 64. 3x²5x 10 = 0

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Q: Find the first four terms of the sequence given by the following. 3 +5 ºn , n = 1, 2, 3, ... 2²…

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Q: You are told that h(T) = HekT where H and k are constants. Solve for H and k if h(15) = 1 and h(16)…

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Q: 17. If x to the power equals 8, then x equals: A. -9 B. 6 C. 9 D. 16 18. Find the value of x that…

A: (17). Given: x34=8   ...1   As we know from the exponent rule: amn=am·n

Q: 3. SIX f- - dx x in x√√(inx)2-9

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Q: The owner of a video store has determined that the profits P of the store are approximately given by…

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Q: Simplify. Assume that all variables are positive. -81x6y4

A: We have to simplify the given expression.

Q: For a given arithmetic sequence, the first term, a₁, is equal to -23, and the 6th term, a6, is equal…

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Q: Select the equivalent expression. (7^2*5^6)^4 Choose 1 answer:   A. 7^6*5^24 B. 7^8*5^10 C. 7^8*5^24…

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Q: 5. Determine the least common denominator (LCD) of the rational expressions. X + 1 3x x²64 x²…

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Q: 14.) 5b 27ab 2a 9b

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Q: sample the class you split the class into guys and girls. You then select at random 3 guys and 3…

A: Stratified sampling is a method of sampling that involves dividing the population into smaller…

Q: Write in Roster form: C is a set of whole numbers between 6 and 12

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Q: Suppose the cooking time for a particular recipe varies inversely with the temperature of the oven.…

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Q: Find the value of the vertical asymptote 2x²-3x+5 O-3 O-9 0 3 09

A: Consider  2x2-3x+5x-9

Q: ㅠ ㅠ Solve the problem. Usesin = = landsin = 4 ㅠ Use the formula sin(2x) = 2 sin x cos x, with x = 4…

A: We can find the answer as below.

Q: Can We Reason This Way? CCSS CCSS SMP3, 3.NF.3d, 4.NF.2 Claire says that because Discuss whether…

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Q: 10. Is there any value of k that will make the planes kx + 2y-2kz + 3 = 0 and x-2ky + 5z = 0…

A: We have to find the value of k for which planes are perpendicular.

Q: Suppose that the price per unit in dollars of a cell phone production is modeled by p=60-0.0125z,…

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Q: Solve for x In the triangle. Round your answer to the nearest tenth. 11 54° X = 0 X =

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Q: EXER 13.2 a b Assuming that for matrix G d e h [9 we have det G= -7. Then find the ff: a. det(3G) b.…

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Q: At a grocery store in New Zealand, kiwifruit costs 1.95 New Zealand dollars (NZD) per kg. The…

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Q: 3 Find the directional derivatives of = 8xyz³ - 2x²y²z² at the point (2,-1,1) in the direction 2î -…

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Q: 2. Let S be the set [9]: (1.2.9). (c) List 5 derangements of S having 2 in the 3rd position and 5 in…

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Q: Project 3 can be selected only if both Projects 1 and 2 are selected, but if both Projects 1 and 2…

A: Given that,                Project 3 can be selected only if both Projects 1 and 2 are selected, but…

Q: A. Give the Cross products of the unit vectors (i, j, k).

A: Understanding of cross product of three vectors are required to under this.

Q: Rewrite the following as an exponential log 100,000 = 5

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Q: Multiply -2x (x² + 3x-7)

A: Multiply

Q: GIVEN: 2 -5 13 -24 A: b = 3 1 -6-2 USING GAUSS-JORDAN REDUCTION METHOD (SINE), FIND THE SOLUTION…

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Q: What is y² + 6y +9 -6y-27 in simplest form? State any restrictions on the variable. C The simplified…

A: y2+6y+9=(y+3)2 y2-6y-27=y2+3y-9y-27=(y+3)(y-9)y2+6y+9y2-6y-27=(y+3)2(y+3)(y-9)=y+3y-9

Q: Use the graph of the function to find the domain and range of f. (Enter your answers using interval…

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