Mary's Rock is a mountain that is popular for hiking. There is a 3.8-mile trail from the base of the mountain to the top. Elizabeth is a beginner hiker climbing the mountain for the first time. Suppose h represents the number of miles Elizabeth has hiked since starting to climb the mountain. a. Explain what the expression 3.8 - h represents. Alexis is an experienced hiker who climbed the mountain early in the morning and is already at the peak. Alexis hikes 1.8 times as fast as Elizabeth. At 10:00 am Elizabeth and Alexis start hiking towards each other. Alexis was descending while Elizabeth was ascending. For simplicity we are assuming both hikers' hike at constant speed. b. Explain what the expression 1.8h represents. c. What expression represents the cumulative distance hiked by Elizabeth and Alexis including Alexis's hike up the mountain earlier that morning.

Q: In a certain factory, a unit of work is completed by A in 4 minutes, by B in 5 minutes, by C in 6 mi...

A: The average of n number of quantities, x1 , x2 , x3 ,……, xn is computed using the formula below. Ave...

Q: f(x)=sinx + sin(1+x^2) - 1, use newton raphson to solve for the roots

A:

Q: Determine whether each statement is true or false. If the statement is true, prove it. If the statem...

A:

Q: Let - 2 -1 A= |0 3 4 -4 1 (a) Find a general solution of the linear equation x'(t) = Ax(t). (b) Use ...

A:

Q: A patio set cost a retailer $695.00 less 25,%, 18%, 8%. Markup is 48% of the regular selling price. ...

A: Given - A patio set cost a retailer $695.00 less 2513%, 18%, 8%. Markup is 48% of the regular sellin...

Q: 14) Solve it

A:

Q: course : real analysis

A: To show π4≤∑n=1∞1n2+1≤π4+12 In series we apply integral test ∑n=1∞fx=∫1∞fxdx

Q: Suppose that a is a number such that -9 an+1 -3)2n+1 n=0 convergent or divergent? If the series is ...

A: given sequence is                                                      ∑n=0∞an+1(-3)2n+1  

Q: please show full steps, i can put thumbs up when answered :)

A: Note: As per bartleby instruction when more then three questions for subpart is given only three par...

Q: Let p > 5 be the prime number. Prove that the expression p* – 10p² + 9 is divisible by 1920.

A: According to the given information, it is required to prove that:

Q: show why this equality is satisfied

A:

Q: Find Fourier series coefficients of the following periodic continuous time signal with period T=2c:

A: Given:

Q: Find the Fourier series for the following periodic functions

A:

Q: 9) Solve it .

A:

Q: Pls help ASAP.

A: Given ∑n=1∞1nln3+7n5. We will use the comparison test,  n100>3+7n5lnn100>ln3+7n5nlnn100>nln...

Q: 4. Set up (Do Not Evaluate) a triple integral that yields the volume of the solid that lies below th...

A: To find the volume of a general solid over a region r use the triple integral ∫R∫∫1·dV Rectangular C...

Q: 2 -4 4 -7 -17 7 5 A = 0 3 12 1 2 -4 3 3 Find a14, a21, a31, and a43. a14 %3D a21 = %3D a31 %3D a43 %...

A: A m×n matrix has m rows and n columns. Any element in an m×n matrix is denoted as amn . A 2×2 is mat...

Q: Let A = {0, 2, 4, 6, 8, 10}, B = {0, 1, 2, 3, 4, 5, 6}, and C = {4, 5, 6, 7, 8, 9, 10}. Find (A ∩ B)...

A: Union of two sets: It includes all those elements which are in either set (or in both sets). Interse...

Q: Find the Fourier series for the following periodic functions

A: Given that,     f(x)=x     -1<x<1 f(x)=xf(-x)=-1=1 Hence,  f(x) is an even function Therefore,...

Q: FOR THE FOLLOWING EXERCISES, SET UP AND EVALUATE EACH OPTIMIZATION PROBLEM. SHOW SOLUTIONS IN A PAPE...

A: 1. Let us take x to be the length of the side of each square which is cut from each corner of the re...

Q: The number y of hits a new website receives each month can be modeled by y = 4030ekt, where t repres...

A: Number of hits per month = 4030 * ekt t = number of months website is operating k = constant Given n...

Q: Q7/ a) Find the first four nonzero terms of Maclaurin series for f(x) = ex b) Find the approximate v...

A: Q7) a) Maclaurin series of function f(x) is a Taylor series of function f(x) at a=0 fx=f0+f'01!x+f''...

Q: course : real analysis

A: taking the an and bn such that the given statement is False...

Q: 18.B) Solve it please

A: Assume G is a group overlap with K nucleus and assume M is a subgroup of H. b) If M is normal in H, ...

Q: Determine if f(x)=cos (-) is uniformly continous on the interval I = (0,1) %3D

A: No. The given function is not uniformly continuous in the given interval because at the left end poi...

Q: 12D. The table below shows the total number of dollars earned, y, based on the number of lawns mowed...

A: If we consider the equation, y=Kx then dividing y values by corresponding x values we get the propor...

Q: Mr. Walker built a new home on a 2-acre lot. The house, driveway, and walks contain 3,850 square fee...

A: Mr.Walker built a new home on a 2-acer lot .We know that two acers means 87,120 square feet.In which...

Q: 2020-21 Algeb.► Briana Berisha - Topics8H Q4-2 - 20-21.pdf Simplify 2x 4 19. 2x + 8 a. ズー2 C. X + 4 ...

A: To simplify the given expression.

Q: 18. Two very large tanks A and B are each partially filled with 100 gallons of brine. Initially, 100...

A: Consider the provided question. Two very large tanks A and B are each partially filled with 100 gall...

Q: evaluate both sides of divergence theorem for A= ra,+rcos(8)a , +r²a, through the closed surface O<r...

A: Given problem is :

Q: Please show all steps and work clearly. Thank you

A: Given function is fx=-x2+4 and the interval is 0,2. Given that n=8, Divide the interval into 8 subpa...

Q: Evaluate the Line Integral through the Path ab in the below Figure. for the F = p cos o a, + z sin o...

A: The general form of a vector valued function in cylindrical coordinates is given by F=F1aρ+F2aϕ+F3az...

Q: Using practical example from the field of mathematics, compare and contrast the relationship between...

A: Linear equations are the equations of order one. They contain one or two variables.  

Q: Determine if = f(x)=Vxis uniformly continous on the interval I [0, +)

A:

Q: A line of LRT with five (5) stations will be constructed in a city. A forecast passenger demand is g...

A:                                                                                                     ...

Q: I don't know how to solve the last 3 question

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want rem...

Q: 1. The following are the test results for a grade 12 math class of 20 students: 82 85 94 96 72 79 81...

A: Given,  The test result for grade 12  class for 20 students. We have to find the solutions by using ...

Q: Assume that the growth of peacocks obey the rule dP p3 – 17P2 – 38P dt - Here P represents the popul...

A: "Since you have posted a question with multiple subparts, we will solve first three subparts for you...

Q: Find the interval of convergence of 00 (x – 4)" Σ n! n=0 (Use symbolic notation and fractions where ...

A:

Q: The teacher wrote the three-digit number --8 he imagined on the board. Three students made two assum...

A: Solution: The number written on board is  - - 8. Clearly, it is a three-digit number and its last di...

Q: α : ℝ -&gt; ℝ3   ,  α(t) = (t2+1 , 0 , t) is a curve. Let M be the surface obtained by rotating the ...

A: 1) Let M be the surface obtained by rotating the curve αt=t2+1,0,t around the x axis. The coordinate...

Q: y" tanx-1= y', (cosx 0)

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want rem...

Q: Let A be an 2 x 3 matrix and b be a vector in R' such that the system Ax = b has solution set () 5. ...

A: Here given the matrix A is 2×3 matrix and the solution for Ax→=b→ is 395+s20-7+t072. Need to find th...

Q: Consider the graph G : bh is an edge in G. The order in G-bh is O 7 6 O 4 O 5

A: In the given question we have to find the order of the graph G-bh. Order of a graph:"The order of a ...

Q: Define the linear map T : R³ → R³ by T(x, y, z) = (2x + y, x + 3y + 2, y + 2z). (a) Find all eigenva...

A:

Q: Let ū, and ūzare unique unit vectors normal to the plane containing a = 2i + 3j - k, and ,b =i-j+2k....

A: Two vectors a and b in a plane are given. The vectors u1 and u2 are normal to the vectors a and b. W...

Q: converges or diverges. I-

A: We have to find out the given series is convergent or divergent. If the series is convergent then we...

Q: Answer only b (i) and b(ii)

A:

Q: The AMA makes electric bike investment. One out of every 50 electric bike is faulty, but AMA doesn't...

A: Given - The AMA makes electric bike investment. One out of every 50 electric bike is faulty, but AMA...

Power Operation

Power operation is topic of algebra in Math. It is use to represent repeated multiplication. Very big number and very small number can be easily express using power operation. Power operation is useful in many fields. In space engineering, it helps in representing the distance or size of particular heavenly body. In medical field, it is used to represent very small size. In medical field it helps to mention size of bacteria or virus. 

Exponents

The exponent or power or index of a variable/number is the number of times that variable/number is multiplied by itself.