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If you walk 3 miles in one hour and then 4 miles in two hours, what is your average speed for the entire trip? (in mph)
Linear Algebra : Dual Space and Dual Basis.
Show that For each circular arrangement, there exists at least three adjacent numbers whose sum is greater than 17.
Thus we can define the trace of a linear operator on a finite-dimensional space to be the trace of any matrix
For finite sets, proof is trivial since |A| = n and |P(A)| = 2^n. For finite sets, this is done by contradiction.
Systems of Equations and Inequalities Applications Word Problems
Preimeter of a tectangle. the length of a rectangular swimming pool is 15 feet longer than the width. if the perimeter is 82 feet.
Linear Algebra : Calculating heat loss through a wall Engineers use the concept of thermal resistance R to predict the rate of heat loss through
Look at this expression: 12x³y + 3x²y² + xy³. Is this a binomial? Of what degree?
Linear Algebra : Solving for Temperatures of Points on a Flat Square Plate
Draw and describe how each of the following algebraic identities could be represented geometrically.
Consider two systems of springs, one in which a mass m is attached two the end of two springs which are placed one at the end of the other.
If n >= 1, the number of strings using the digits 0,1, and 2 with no two consecutive places holding the same digit, is 3x2^n-1.
A bacteria culture starts with 760 bacteria and grows at a rate proportional to its size. After 2 hours there will be 1520 bacteria.
You are in a driving conttest and you are expected to maintain an average speed of 60mph for two miles.
What types of Error correction codes are used in wireless systems? What is the difference between them? Which has the highest gain?
A traffic engineer wants to know whether measurements of traffic flow entering and leaving a road network are sufficient to predict
Let a and b be integers. A common multiple of a and b is an integer n for which amn and b|n. We call an integer m the least common multiple.
Properties of condition numbers : Orthogonal Matrices and Eigenvalues
Find all solutions of each of the following congruences.Provide complete and step by step solution for the question.
A boat travels 30 miles upstream against the current in the same amount of time it takes to travel 42 miles downstream with the current.
When they try to divide it they have two pieces of candy left over. One of the children leaves, taking the 26 pieces of candy she collected with her.
In a certain triangle the measure of one angle is double the measure of a second angle but is 10 degrees less than the measure of the third angle.
Lydia takes ten minutes more to complete an illustration than Tom. The total time taken by both of them is six hours.
Translate the following into algebraic expressions. Clearly identify the variables, coefficients, and constants: