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1. Determine whether the following sets are vector spaces. If it is not, specify one property that fails.
(a) V = {(x1, 1) |x1 is real} with the usual operations of vector addition and scalar multiplication.
(b) V = {} |a, b, c are real} with the usual operations of matrix addition and scalar multiplication.
Find the length of the coastlines of the South and North Carolina
When a mass of 4 kilograms is tied to the middle of the clothesline, it sags a distance of 1 meters. What is the magnitude of the tensions at the end of the clothesline?
A 62 foot guy wire makes an angle of 60 degrees with the ground and is attached to a pole. Find the distance from the base to the point on the pole where the wire is attached. Express your answer to the nearest tenth of a foot.
A company wishes to manufacture a box with a volume of 48 cubic feet that is open on top and is twice as long as it is wide. Find the width of the box that can be produced using the minimum amount of material.
A gun has a muzzle speed of 100 meters per second. What angle of elevation should be used to hit an object 190 meters away? Neglect air resistance and use as the acceleration of gravity.
Which of the following statements is not true?
the average hourly wage of workers at a fast food restaurant is 6.50hr with a standard deviation of 0.45. assume that
a rectangular prism has the dimensions of 4 by 6 by x. If the total surfacea area of the prism is 248 square units, what is the value of x?
You are required to design a 1000cm3 of a shaped right circular cylinder. What dimension will use the least materials.
Find the alternative hypothesis and the null hypothesis.
Why is it true that any two points satisfying a linear equation will give you the same graph for the line represented by the equation?
the function R(d) represents the revenue from boarding dogs for 1 day. if the daily rate per dog is $15.50, write the function that describe the revenue.
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