Set # 2 Due on Sunday 14/03/2021 Ex.1 (2 pts.)

Eve has three containers: two boxes and one bucket. Can she put 10 nuts in these three containers so that none of them is empty and:

in each container there is a different odd number of nuts? Why?

in each container there is a different even number of nuts? Why?

Ex.2 (3 pts.)

In a magic square the sum of numbers in each line, column and diagonal must be the same. How much is the sum a+b+c in this square?

() at a farm, animals are fed bales of hay and buckets of gain. each bale of hay is in the shape of a rectangular prism. the base side lengths 2 feet and 3 feet, and the height is 5 feet. each bucket of grain is a cylinder with diameter of 3 feet. the height of the bucket is 5 feet as the height of bale. a. which is larger in area, the rectangular base of the bale or the circular base of the bucket? explain how you know b. which is larger in volume, the bale or the bucket? explain how you know

Which statements are true? check all that apply. the line x = 0 is perpendicular to the line y = –3. all lines that are parallel to the y-axis are vertical lines. all lines that are perpendicular to the x-axis have a slope of 0. the equation of the line parallel to the x-axis that passes through the point (2, –6) is x = 2. the equation of the line perpendicular to the y-axis that passes through the point (–5, 1) is y = 1.

Write the equation in logarithmic form 8^x=64