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1. The perimeter of a standard-sized rectangular rug is 24 ft.The length is 2 ft longer than the width. Find the dimensions. What is the width?What is the length?
2. Determine whether the given ordered pair is a solution of the system of equations. Remember to use alphabetically ordered variables.
(6,-9) 2x=21-y 8x=84+4y Is the ordered pair a solution?
3. Solve the following system of equations by graphing. x-2y= -2 x+2y=6 (please provide solution set if any, plus two coordinates so I can graph)
the population of a city can be modeled by p=125000 e^0.02t where t is the number of years since 1990. what was the population in 1995?
Prove that the mapping a(g) = g^-1 for all g in G is an automorphism if and only if G is Abelian. An isomorphism from a group G onto itself is called an automorphism of G.
1. repeatedly 104 times simulate the standardised sum of independent and identically distributed variates x1 . . .
in a recent year about two-thirds of u.s. households purchased ground coffee. consider the annual ground coffee
Two observation points A and B are 1500 feet apart. From those points the angles of elevation of a hot-air balloon are 43° and 47°. Find the height of the balloon to the nearest foot.
prove de morgans laws for sets by using set theory arguments.prove de morgans laws for sets by using set theory
A rancher needs to enclose two adjacent rectangular corrals, one for cattle and one for sheep. If the river forms one side of the corrals and 420 yd of fencing is available, find the largest total area that can be enclosed.
the volume of a cone with a height of 18 millimeters is 471 cubic millimeters. find the area of the base to the nearest tenth.
Given a position vector r(t) = Find the velocity and acceleration vectors and the speed at time t. Find the arc length of the curve given by r(t) = a cos (ωt) i + a sin(ωt)j. between t = 0 and t = π/3.
One side of triangle is 22 times the shortest side. The third side is 1010 feet more than the shortest side. The perimeter is 7474. Find all three sides
Solve the system with any method - Find which of the given two pairs are solutions for the following system
Create an expression for your classmates to solve that uses scientific notation and at least one of the rules for exponents you have describe.
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