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a piece of wire is 38 inches long. the wire is cut into two pieces; then each piece is bent to form a square. Find the length of each piece if three times the area of the larger square exceeds the area of the smaller square by 95.75 square inches.
Probability : Drawing Cards and Sampling Without Replacement, 3 cards are drawn in succession from a regular straight deck of 52 playing cards. Find the probability that
When we have two fractions on either sides of an equality or inequality symbol, we can multiply the numerator on the right hand side (RHS) with the denominator of the left hand side (LHS) and the numerator of LHS with denominator of RHS.
Determine 2 numbers such that the difference of its squares is 120 and the sum is 6. If I have 30 coins of two kinds 5 cents and 1 cent can I have a total of 78? A rectangle has a perimeter of 392 m calculate its dimensions if the length is 52 m long..
Show that the positive integers less than 11, except 1 and 10, can be split into pairs of integers such that each pair consists of integers that are inverses of each other modulo 11.
Construct a 95% confidence interval estimate of the difference between the mean response times for Company A and Company B. Interpret your interval in context of the original claim.
Let G be k-critical graph with respect to vertex-arboricity (k>=3). Prove that for each vertex v of G, the graph G-v is not (k-1)-critical with respect to vertex-arboricity.
find the measure of the central angle if the lenght of the arc is 29.21 and the circumference is 40.44.
Based on the parallelogram law, show that the norms ||.||_1 (1-norm) and ||.||_infinity ( infinity or maximum norm) in R^2 are not induced by any inner product.
A man 6 ft tall walks at a rate of 5 ft/s away from a lamppost that is 23 ft high. At what rate is the length of his shadow changing when he is 60 ft away from the lamppost?
Identify the definite integral that represents the area of the surface formed by revolving the graph of f (x)= x^3 on the interval [0,1] about the y-axis.
Factor the polynomial and state the multiplicity of each zero and zeroes of a real polynomial
Consider the curve 5x3+8xy+5y2 = 45. Use implicit differentiation to calculate the derivative dy/dx. Hence determine the point/s which has/have a horizontal tangent.
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