Define the linear transformation T by T(x) = Ax. Find ker(T), nullity(T), range(T), and rank(T). A = 0 −4 2 8 0 19 (a) ker(T) (If there are an infinite number of solutions use t as your parameter.) (b) nullity(T) (c) range(T) {(s, 0): s is any real number} R2 R3 {(0, t): t is any real number} {(8s, 4t, 19s − 2t): s, t are any real number} (d) rank(T)

Figure abcd is a parallelogram. if point c lies on the line x = 2, what is the y-value of point c

9. (y^-5)^10y^10 a. y^-60 b. y^60 c. y^-150 d. y^150 find the simplified form of each expression. 10. (4/7^5)^2 a.8/14^10 b.16/49^25 c.16/49y^10 d.8/14y^25 11. determine if the number 3.43 times 10^-6 is written in scientific notation. if not, explain. a. yes; the number is written scientific notation. b. no; the first factor is not a number between 1 and 10. c. no; it is not written as a number times a power of 10

Prove the divisibility of the following numbers: 25^9 + 5^7 is divisible by 30.also, read as (25 to the power of 9) + (5 to the power of 7) is divisible by 30. blank x 30what is the blank? ( it should be expressed in exponent form)