Are the following statements true or false?
1. if the set of vectors is linearly independent in a subspace then vectors can be removed from to create a basis for
2. if = span{}, then =3.
3. three nonzero vectors that lie in a plane in might form a basis for .
4. if the set of vectors is linearly independent in a subspace then vectors can be added to to create a basis for
5. if the set of vectors spans a subspace then vectors can be removed from to create a basis for

Questions 9-10. use the table of educational expenditures to answer the questions. k-12 education expenditures population indiana $9.97 billion 6.6 million illinois $28.54 billion 12.9 million kentucky $6.58 billion 4.4 million michigan $16.85 billion 9.9 million ohio $20.23 billion 11.6million 9. if the amount of k-12 education expenses in indiana were proportional to those in ohio, what would have been the expected value of k-12 expenditures in indiana? (give the answer in billions rounded to the nearest hundredth) 10. use the value of k-12 education expenditures in michigan as a proportion of the population in michigan to estimate what the value of k-12 education expenses would be in illinois. a) find the expected value of k-12 expenditures in illinois if illinois were proportional to michigan. (give the answer in billions rounded to the nearest hundredth) b) how does this compare to the actual value for k-12 expenditures in illinois? (lower, higher, same? )

Parallelogram efgh is a rectangle. he = 6, and fe = 8. find ge: and find fj:

Five friends found a dollar on the ground and decided they each should get 1/5 of it. what amount of money will each friend get? $0.05 $0.20 $0.30 $0.80