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# Basic Algebra

### Perform Indicated Operations

(-2-3)+ (-4 -(-2))

### Difference in Elevation : Mountain Climber and Scuba Diver

What is the difference in elevation of mountain climber 5,287 feet above sea level and a scuba diver 35 feet below sea level?

### Create a relational algebra expression for each of the seven queries

The following tables form part of a database held in a relational DBMS: Hotel (hotelNo, hotelName, city) Room (roomNo, hotelNo, type, price) Booking (hotelNo, guestNo, dateFrom, dateTo, roomNo) Guest (guestNo, guestName, guestAddress) where Hotel contains hotel details and hotelNo is the primary key; Room contains room d

### What was the total training cost?

Nine salespersons attended an 8-hour products conference. The average hourly rate of pay for the 9 employees is $9.86. The sales manager, at an annual salary of $44,800,conducted the 1-day session after a 1-day prep session. Lunch was provided at a cost of $11.80 per person. What was the total training cost? a.$709.92 b.$117

### Rectangular equations

Let x= 2+3sinT and y = -1 + 4cosT Find the rectangular equation for this relation?

### 7 Assorted Logarithm Problems

Please see the attached file for the fully formatted problems. A. i) Find the natural logarithms of the values given as Items 8 and 9 on the worksheet. (Give your answer to 3d.p. where appropriate). ii) Refer to Item 10 on your worksheet. Using common logarithms find the value of 'x' and check your answer by numerical subst

### Solve a Quadratic equation with complex numbers

PLEASE SEE ATTACHED (Four possible answers are shown in the attachment) Solve the equation Z2 +Z+1=0 using Z=(X,Y)

### Algebra 2

1. Find all zeros for f(x)=x^4-15x^3+70x-156 2. Solve 3^x+2=65 Round your answer 3 decimal places. 3. Solve 6^4x+5=3^7x-1 Round your answer 3 decimal places. 4. Solve logx=4.952 Round your answer to 3 decimal places. 5. Solve 2^3x=3^4x-2 Round your answer to 3 decimal places. Please

### The subtraction rule, concerning negative integers

(-3) - (-5) =

### Radical expressions and parabola word problem

I am posting an attachment.

### Recursion formula

Write recursion formula for series an = 1/2n

### Simple algorithm using the big theta - notation

Sometimes a slight change in a problem can significantly alter the form of its solution. For example, find a simple algorithm for solving the following problem and classify it using big-theta notation: Divide a group of people into two disjoint subgroups (of arbitrary size) such that the difference in the total ages of the m

### 4444-Brownian Bridge

Category: Statistics Subject: Brownian Bridge Details: Let B(t) denote a process of Brownian motion. Let Q(t) be a Brownian Bridge process. Then, B(t)=(1+t) Q(t/(t+1)). Using the fact that P(max((b+B(t))/(1+t))>a)=exp(-2a(a-b)) show that for a Brownian Bridge Q(t) P(max(Q(u)>a)=exp(-2 a^2) where 0<=u<=1

### College Algebra

Please assist me with the following problems. I do not iunderstand the ones listed below. Please show steps so that I can understand. P. 802 1. #6 2. #14 3. #18 4. #24 5. #44 6. #52 7. #56 P. 812 8. #27 9. #28 10. #32

### RSA Cipher

Alice chooses two large prime numbers p and q. She finds their product, m=pq which is public. She also finds n= (p-1)(q-1) which is private. She chooses e which is a number relatively prime to n and finds d= the inverse of e (mod n). The number e is public and the number d is private. When Bob wants to send a message x (a number

### Logarithms : Simplify

Log u^4 + log v^9 - log(uv)^6 + 2log(u/v)

### Differentiation : Radius of Convergence for Power Series

Consider the differnetial equation y'(x) + xy(x) = 0 with y(0) = 0 Look for a solution of this problem of the form y(x) = A + B + Ce^-x + De^-1/2x^2 Use the fact that y must satisfy the equation and the initial conditions to identify the constants A,B,C and D. By setting u = -x^2/2 in the power series for f(u) = exp{u},

### Describe the Conic Section

R = 1 / ( 1 - 2 Cos Theta )

### College Algebra

Can someone please assist me with following practice problems? Please show all work so that I can gain a better understanding of the subject.

### Simplify the Summation

Simplify: ∑n,k=1 (k + 5)*(k − 1)

### Cryptography : RSA Problem - Public and Private Keys

Fill in the blank choose public or private. Alice chooses two large prime numbers p and q. She finds their product m = pq, which is _____. She also finds n= (p-1)(q-1) which is _____. She chooses e which is _____and finds d=_____. The number e is public or private. and the number d is public or private. When Bo

### Plane Separation : Half Plane and Non-Collinear Points

If H1 is a half plane determined by the line l, prove that H1 has at least 3 noncollinear points.

### Betweenness and Elementary Figures : Three Collinear Points

Let A = (x1,y1), B = (x2,y2), and C = (x,y) be three collinear points in the Euclidean Plane with x1<x2. Prove that A-C-B iff x1<x<x2

### Log Function : Integral and Derivative

Let g(x)=integral from 1 to x sin t ln t dt. Find g'(x)

### Least Common Multilpes

A. Find the LCM (Least common multiple) (84, 108). Show how you obtained your answer. B. Suppose LCM (18,A) = 72. What are the possible values, if any, for A? Explain your answer.

### Equivalence and Simplification

A. Show that 693/858 and 42/52 are equivalent in THREE different ways. B. Simplify 3^5 X 24^3 divide by 12^3 X (6^3)^2 ^ means exponent.

### Perform the indicated operations

3x/x^2-4 + 4/x^3+8 I believe I need to factor this but I am not sure....

### Quadratic Equation : Solve for X

2x OVER x+4 = 3 OVER x-1

### Algebra : Graphing Functions

Please see the attached file for the fully formatted problems. Can you please assist me with the problems listed below? P. 237 1. a) #6, b) #18 2. a) #22, b) #24 3. a) #32, b) #46 P.253 4. a) #1, b) #2, c) #3. d_ #4 5. a) #10, b) #12 6. a) # 28, b) #30 7. P.260, Matched Problem 1 P.271 8. # 2 - 22 (Eve