2. The water level at an ocean inlet has a depth, d, in metres, that varies with the time, t, in hours after (t- 4) 124 midnight, according to the equation & = 5 sin 27 + 6. What is the water depth at 2:30 a.m., to the nearest hundredth of a metre?

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A: This question can be solved using the concept of annuity.

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Q: 2. Write a quadratic equation which has -2/3 and 2/3 as solutions.

A: Roots are:23 and -23Equation:(x-23)(x+23) =0x2 -23 x + 23 x -12 =0x2 - 12 =0Quadratic equation isx2-...

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A: Divide the polynomial  for finding the remainder.

Q: 1) a. Solve the following system of linear equations by using elimination method. Ox-0 y= 9 5x + 2y ...

A: a)The given system,0x-0y=95x+2y=2b)P=0552, Q=w+7-352 and R=0-3x-12

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A: In this question we have to find the number of ways to write MATH IS FUN.

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A: answer of given question is in step 2

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A: D=(-4, 5, 3)Vector A=y ax +(x+z)z  ay +0  azρ=x2+y2  =(-4)2+(5)2ρ=41ϕ=tan-1yx =tan-15-4ϕ=128.66°r=x2...

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Q: Linear algebra True or False questions. Please explain. Thanks so much!

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A: We need to show How to find the x using radical and exponential function.

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A: We apply permutation if order of arrangement matters.  So we try to think of situations where arrang...

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Q: 11.) The sum of four consecutive even integers is 68. Find the four consecutive even integers. What ...

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Q: a?u a?u Example: Show that: if u 3D tan-1х y ду дх дх ду

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Q: For the function f(x) = 6e², calculate the following function values f( – 3) = f( – 1) = f(0) = Prev...

A: Calculate the value of given function

Q: Find the indicated Matrix, if possible. Show and explain your work. |ЗА +В

A: A=4-472B=-243-73A+B = 34-472+-243-7

Q: 117 degree 36' 12" + 96 degree 32' 50" + 142degree 54' 36" + 132degree 18' 24" =?

A: To find out the answer. 

Q: 3. Evaluate lim 0r+1 4. Find

A: Given problem:-

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A: Given query is to find indicated composite function.

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A: here we make find the n value  here we can try and find that n =15 92 =81 93 =729 .......... like th...

Q: Solve the following equation. y* + 3y - 28 = 0 y= -2,2,2 i,-2 i (Type exact answers, using radicals ...

A: We will find the roots of the equation. 

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A: Solution of question is written in below steps.

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A: To write the given equation in exponential form .

Q: You plan to take a 2000-mile trip in your car, which averages 32 miles per gallon. How many gallons ...

A: We can explain the answer in the following steps.

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Q: It is easy to check that for any value of c, the function y = ce + e is a solution of the equation y...

A: y=ce-2x+e-xSubstitute x=-4 and y=10 into the above equation.

Q: 2. Read the foillowng queshon belaw and cusose the corvect answw' | and v= and utr, what wン -2 ta 6)...

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A: Solved below

Q: H.w, considev The SyoLem by and Gass Jorolan limnat 8x-23+3=25 メ+33-2るー12 uメー5y - 3)

A: we have to find the solution of the system by Gauss - Jordan method.

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Q: 2. Find the value of x 65° to 105°

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Q: 7x 9) 2.x х-2 20х + 16

A: Solving the problem by finding the answer.

Q: Find A, and b such that Ax = b corresponds to the given linear system. 7x1 – 4x2 – 3x3 = -6 - 5x1+ 4...

A: 7x1-4x2-3x3=-65x1+4x2-8x3=2Ax=b7-4-354-82×3 x1x2x33×1 =-622×1

Q: Discrete mathematics Combinatory exercises Solution with all the steps 16 guests must be spread over...

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