Let a1, a2 and a3 be as in (a). Let a4 =   1 4 −5  . Without doing any further calculations, find all values of t for which there will be a unique solutions to a1y1 + a2y2 + a3y3 + a4y4 = c for every vector c in R 3 . Explain your answer

Prove that the sum of two consecutive exponents of the number 5 is divisible by 30.if two consecutive exponents are 5n and 5n + 1, then their sum can be written as 30.

Somone me i want to know what 18 hours out of 24 hours in a fraction

Juliana says that she can use the patterns of equivalent ratios in the multiplication table below to write an infinite number of ratios that are equivalent to 6: 10. which statement explains whether juliana is correct? she is correct because she can multiply 6 and 10 by any number to form an equivalent ratio. she is correct because 6: 10 can be written as 1: 2 and there are an infinite number of ratios for 1: 2. she is not correct because the multiplication table does not include multiples of 10. she is not correct because 6: 10 is equivalent to 3: 5 and there are only 9 ratios in the multiplication table that are equivalent to 3: 5.