A flashlight can light a circular area of up to 6 feet in diameter. What is the maximum area that can be lit? Round to the nearest tenth.

Q: mp 16 ft long rises to a platform that is 12 ft off the ground. Find x, the angle of elevation of…

A: Given query is to find the angle of elevation.

Q: 1. Explain the steps in verifying that the following equation is an identity. cos x sec x + tan x =…

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Q: Calculate the time for the colony to reach 1 million bacteria

A: This question is related to Functions, we will solve it using given information.

Q: Consider a triangle ABC like the one below. Suppose that A=44°, C=25°, and c= 31. (The figure is not…

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Q: Decide if each is a function or not a function. Explain your answer. a) *K -0.5 -15- b)

A: Answer is given in next step.

Q: Given: A,, C,and D are collinear in that order and AB = CD. Prove: AC = BD Statements Reasons 1. A,…

A: --- Given: A, C,and D are collinear in that order and AB = CD. Prove: AC = BD

Q: If the tax rate is 7%, what is the tax on a 35.50 meal

A: We have to find the tax

Q: The amount of carbon-14 present in animal bones after t years is given by P(t) = Poe -0.00012t. A…

A: answer is in next step. please give a like !!

Q: Find the equation of a hyperbola satisfying the given conditions. Vertices at (0, 12) and (0, - 12);…

A: Vertices at (0,12) and (0,-12) foci at (0,20) and (0,-20)

Q: Sara is a 57-year-old graphic designer who wants to retire 5 years from now. She earns $54,000/year…

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Q: licatio Write an expression to represent the area of the rectangle 36-x² 4x+6 1 10x³ +15x² 5x³-30x²…

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Q: The thickness of photoresist applied to wafers in semiconductor manufacturing at a particular…

A: We have to find the mean and variance.   According to our guidelines we can solve only one question…

Q: What is the end behavior of y as x goes to negative infinity in the equation y = -4x5 + 4x² - 8? y…

A: option D Find y, When x tends to infinity

Q: The following sets are given. A = {7, 8, 9, 10, 11} B = (6, 7, 8, 9, 10} Are the sets equal? Yes Ο…

A: Solution is done in step 2

Q: Find the equations of any vertical asymptotes. f(x) = x² +1 (x²-49) (x²-16) Find the vertical…

A: Given: f(x)=x2+1(x2-49)(x2-16)

Q: Answer

A: Please refer to the image below

Q: Find the domain of the function using interval notation. f(x) = -2x (x-1)(x-5)

A: We have to find the domain of the function.

Q: 3.6.4 (x-3) (x+5) = 0 3.6.5 2x²-32 = 0 3.6.6 x²-3x-18 = 0

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Q: b) Consider the vectors u = (2c, 2, −4), v=(c, c, 3)and w = (-1, 2, 3). Find the value(s) of…

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Q: Suppose that $1200 is borrowed for five years at an interest rate of 6% per year, compounded…

A: Amount for a principalP, rate of interest R, Time t compounded continuously is given byA=Pert   ,…

Q: > Question 21 A population of 770,000 microbes increases at the continuous rate of 12.6% per day.…

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Q: 9. Find the value of 2sinhxcoshx O a. cosh (2x) O b. sinh(x) O c. sinh(2x) O d. sech (2x)

A: Given:        Value of 2sinhxcoshx     we know that                             coshx=ex+e-x2…

Q: Here are yesterday's high temperatures (in Fahrenheit) in 15 U.S. cities. 48, 50, 51, 52, 53, 54,…

A: Temperature in 15 US cities.48,50,51,52,53,54,55,55,61,62,71,72,75,76,80                     ↑…

Q: Travel The prices for traveling between five cities in Colorado by bus are given in the table below.…

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Q: Prove the following Theorem. Let A and B be sets and f a function from A to B. Then the following…

A: We will prove it by using basic definition.

Q: A on S is a function from S×S into S.

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Q: Graph the function y=x+4

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Q: 6. Write the equation of the transformed function given f(x)= is stretched horizontally by a factor…

A: Function transformations : Horizontal stretch by a factor a : f(ax) Vertical compression by a factor…

Q: 5. For exponential function defined by y = 3 3 (-/-) * a) Create a graph of the function including…

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Q: The present value of an annuity-certain of 1 p.a. payable for an exact number of years at a given…

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Q: A survey of 62 customers was taken at a bookstore regarding the types of books purchased. The survey…

A: Answer: As per rules we can do only first 3 subparts and solution is given below:

Q: Express the set using the roster method. {x|XEN and 30≤x_80} Choose the correct answer below. O A.…

A: Given the set in set builder form . We need to write this set in set builder form. Now,  Set is…

Q: Zora saved 3/20 of her paycheck and to that she added $25.30. If the total that went into her…

A: Suppose Zora has paycheck x, Out of x she shaved 3/20, that is she saved 3x/20. And she add $25.30…

Q: 18. If coshx=and x > 0, what is csch x? O a. 1 O b. O C. O d. 1 2 415 5 4131 3

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Q: 1. If a varies jointly as b and c, and a=16 when b=4 and c=2. Find a when b=−8 and c=6.

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

Q: What effect does the negative sign have on the graph of y = -2 cos x?   reflects the graph of y =…

A: Topic:- function

Q: ask 20 of your friends, classmates or family member what are their favorite k-pop Singer or group…

A: This is a problem related to preparing frequency distribution table. Based on the data collection we…

Q: The accompanying data describes the earnings of 15 celebrities. Complete parts (a) through (d).…

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Q: :True or False 1. Every ring is a group. 2. Every subset of a ring is also a ring. 3. Any ring must…

A: Here is the answers given below:

Q: I was told it was wrong and the answer is 77  I dont understand what im doing wrong

A: given binary operation is a*b=a+4b

Q: Q4: (A) Prove or disprove each of the following 1. Every prime ideal is maximal. 3. The cancellation…

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Q: For the right triangles below, find the exact values of the side lengths a and d. If necessary,…

A: Solve the following

Q: 4- 2x For the given rational function f(x) = find the following. " 2 X-4 (A) Find any intercepts for…

A: We have to sketch the graph.

Q: A pilot is flying over the ocean. He determines that the angles of depression to two ships are 68°…

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Q: E(R) = To  + T1 + T2*B2 which of the following statements regarding the above model is correct? T1…

A: As T1 here is a constant and is not associated with any risk premium and asset price sensitivity…

Q: 8. Tilson Industries is the owner of a recreation center that Danson Contracting is building. To…

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Q: Prove that: Asquare matrix B has inverse if and only if determinant of Bis not equal zero

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Q: 3.3 Subtract (6x²-5xy+1 8.4 Expand and simplify a) (X-7)²-(X+7)² 5 Factorise the follow a) 2x(a-2b)-

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Q: Let X and y be two real numbers different from zero. Simplifying the expression 2xy ( - x2y) +…

A: To simplify the expression.