Suppose v1, v2 and v3 are vectors in R 3 such that 4v1 + 3v2 − v3 = 0 Which of the following statements must be TRUE? (I) v3 ∈ span{v1, v2} (II) det   v1 v2 v3   = 0 (III) If W = span{v1, v2, v3}, then the dimension of W is at most 2.

Svetlana's hair is 4 4 centimeters ( cm cm) long. her hair grows 1 . 5 cm 1.5cm per month. svetlana wants her hair to be less than 1 6 cm 16cm long. write an inequality to determine the number of months, m m, svetlana can allow her hair to grow so that it is less than 1 6 cm 16cm long.

Stefania pours 2 liters of orange juice and 1.5 liters of pineapple juice into a punch bowl. how many liters are in the punch bowl?

Maria has $11 to buy fish for her aquarium. each goldfish costs $2. how many goldfish can she buy? do not include units in your answer