A lamppost casts a shadow that is 45-foot long. A 3-foot tall mailbox casts a shadow that is 15 foot long. How tall is the lamp post?

Q: vertex of the parabola represented by g(x)=-x+6x-18 has coordinates (3,-9). Find the ordinates of…

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Q: Write the logarithmic expression as a single logarithm with coefficient 1, and simplify as much as…

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Q: 8. х2 - ху -ах + ay

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Q: Solve the following equation with exact solution(s). If there is no solution, enter "NS". If there…

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Q: Find the effective yield of an investment that earns 7.65% compounded daily. round to the nearest…

A: Compounded daily ie m=365. Rate 7.65%. Find effective annual rate.

Q: wn vertically upward. After t seconds, its height h (in feet) is given by the function li (t) =…

A: Please refer to the image below

Q: Let x, y, u and v be row vectors in R' obeying: x = (2, -1, 3), y = (-3, 2, 2), and suppose that X…

A: Note : “Since you have posted a question with multiple sub-parts, we will solve first three subparts…

Q: 1. Solve each problem using an equation. a. What is 150% of 625? b. 90 is 40% of what number? c.…

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Q: Write an equation for the transformed logarithm shown below, that passes through (-1,0) and (3,-2)…

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Q: The Law of Cosines will be used if you have all three sides (SSS) or if you hav Once you use the Law…

A: In given questions some data's of triangles are missing so we have to find that data and we have to…

Q: A ball is thrown vertically upward. After t seconds, its height h (in feet) is given by the function…

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Q: Prove that 8. V57 lies on the unit circle. 8.

A: The unit circle is the circle of radius 1 centered at the origin (0, 0). The equation of a unit…

Q: 15. A bucket contains 425 ml of water. The capacity of water in the bucket increases 4.8% each hour.…

A: Percentage

Q: Find dy of the Jollowig dn funchion yot ఆంధ 3(TT)C)

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Q: 3. 40% of the marbles in a bag are yellow. The rest are orange and green. The ratio of the number of…

A: Since, you have posted multiple questions. As per guidelines we"ll solve only first question. If you…

Q: Question 8 Let an be the nth element of the sequence 6,12,24,48, then an=ar" for constant values r…

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Q: The determinant of a matrix is calculated to be -6. What, if anything, does this mean about the…

A: When determinant of a matrix is not equal to zero, then the set of equations is linearly…

Q: What do you think the factored form of any polynomial would tell you about the behavior of the…

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Q: 17. What is TRUE about the AA Similarity The A. The third angle of the similar triangles are…

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Q: 3. equation of a circle with Center C(15, – 25) and radius r = 16.

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Q: x² + 18x + 76=0 irst, choose the appropriate form and fill in the blanks with the correct numbers.…

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Q: y′=−10x+2 Find the general solution to the equation shown above. (Do not include the "+C" in your…

A: We can solve as follows

Q: Use synthetic division to determine whether is a zero of f(x). - 5 21 27 f(x) = x° +x +** 7 2 Is a…

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Q: 5. Work Rate An office contains two printers. Machine B is known to take 3 minutes longer than…

A: Let Machine A takes x minutes then B takes 3minutes loger than A, so it will take x+3 minutes

Q: Prove that A•(AxB) =0. Note that A and B are vectors.

A: Prove that A•(AxB) =0. Note that A and B are vectors

Q: Problem 6 Given the series 5.¢.25x + 125x? + 625 x +. a) For which values of x does the series…

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Q: Solve each equation by factoring. 16x^2+40x+25=0 not graded

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Q: State whether or not the given matrix is (a) upper triangular, (b) lower triangular, (c) diagonal,…

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Q: Using data from 2010 and projected to 2030, the U.S. crude oil production, in billions of barrels,…

A: We need to find t and production in 2015.

Q: 7x -8x+11 8. State the domain, vertical asymptote and slant asymptote of the function C(x) = X-6

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Q: التاريخ Re.v. 1000 o12* 007 1.002*10-3 Res O Re= ぐつ piv.D 1000n014 xo027 7.002*103 Re= Res.V.D

A: Here we have to find the value of Re

Q: Solve the following systems using Cramer’s rule. 2x1 + 2x2 - x3 = 3 3x1 - 4x2 + 2x3 = 1 8x1 - x2…

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Q: The scale of a house plan is 2m:1cm. If the side of a square room in the plan is 4cm, what is the ac…

A: Note :-  Since you have asked multiple question As per our policy, we will solve the first question…

Q: Let f(x)=3−x2. Find each of the following: a) f(−1)−f(−6)−1−(−6)=  b) f(−6+h)−f(−6)h=  c)…

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Q: Question 6 Find the determinant of the matrix 6. 0 0 1 7 2 -5 2 0. 8 3 1 8 A 10 B -10 с) 5 D) -5

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

Q: 0 0 01 |-1 2 0 7 3. 7 i 3

A: The given matrix,0000-12007070i301

Q: 10 What can be added to to remain proportional? 25 2+25 10+5 2+10 В. 2+5 C. -= 10+2 10+25 2+5 10+5…

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Q: 6 8 1 8

A: Follow the rules.

Q: Find the value of x а. 8 x = 2 5x + 2 b. 5( x - 1) %3D 16 С. 16 x+2 64 2x - 1 %3D

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Q: Describe the long run behavior of f(t) = 4 1 As t → 0, f(t) → As t → 0, f(t) → ? v

A: We xan solve as follows

Q: Given the parametric equations x = 11 cos 0 and y 15 sin 0, convert the equations to rectangular…

A: x = 11cosθ y = 15sinθ cosθ = x/11 sinθ= y/15 from trigonometric relation sin2θ + cos2θ = 1 put the…

Q: Use synthetic division to find the guotient and remainder when 2x - 8x - 1 is divided by x-4 by…

A: We have to perform synthetic division when  2x3-8x2-1 is divided by x-4. And find out the quotient…

Q: Determine whether the set of vectors is orthonormal. If the set is only orthogonal, normalize the…

A: for the orthonormal vector the dot product of vector = 0 u1*u2 = 0 (1/3)(1/10) + 0 + (1/3)(-1/10)…

Q: Find the quotient and remainder using long division or synthetic division. 23 + 2x? 19х — 15 x + 5…

A: Use long division to get the quotient and remainder

Q: . Describe and show two methods of solving the equation r – 5/I + 4 = 0

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Q: For each matrix, determine det(A). Prove your answer by showing your calculation and stating clearly…

A: For (a), A=det8164043-27  =8·det04-27-1·det4437+6·det403-2  =8· 8-1· 16+6-8  =0

Q: 6. Graph the parabola and find the vertex, focus, directrix and latus rectum points. 10 12(x – 5) =…

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Q: A supply company manufactures copy machines. The unit cost C (the cost in dollars to make each copy…

A: Given query is to find the minimum unit cost.

Q: Is the algebraic expression 2x 5 + 4x 4 a polynomial (Yes or No). If it is a polynomial, state the…

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Q: If a positive real number is added to the output of a function, y = f(x) , the graph of the new…

A: y=f(x) is a function The new graph is y=f(x)+k⇒There is a vertical translation up by k units