Suppose a1, а2, а3, and a4 are vectors in R^3, A=(a1 | a2 I a3 | a4), and rref (A) = 0 5 a. Select all of the true statements (there may be more than one correct answer). A. span{a1, a2}=R^3 B. span{a1, a2, a3, a4} = R^3C. a and a2 are in the null space of A D. { ai , a2. аз, aa) is a basis for R^3 E. (ai , a2. a3 } is a linearly independent set F. { a, a2. аз, a4) is a linearly independent set a G. { a1, a2, аз, a4 } is not a basis for R^3 H. [ai, az is a linearly independent setb. If possible, write a as a linear combination of a and a2; otherwise, enter DNE. Enter al for a, etc. a3 = 2(a1)+a2c. If possible, write a4 as a linear combination of a1 , a2 , and a3: otherwise, enter DNE. a4 = DNE

Aiden buys two bags of chips at $1.09 each and a 20 ounce soda for $1.20 at the gas station.he knows that the state tax is 5.5. how much change will he receive from a $5 bill?

Draw a scaled copy of the circle using a scale factor of 2

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? )