Determine which of the sets of vectors is linearly independent. A: The set where p1(t) = 1, p2(t) = t2, p3(t) = 3 + 3t B: The set where p1(t) = t, p2(t) = t2, p3(t) = 2t + 3t2 C: The set where p1(t) = 1, p2(t) = t2, p3(t) = 3 + 3t + t2

The set of vectors A and C are linearly independent.

Step-by-step explanation:

A set of vector is linearly independent if and only if the linear combination of these vector can only be equalised to zero only if all coefficients are zeroes. Let is evaluate each set algraically:

, and :

The following system of linear equations is obtained:

Whose solution is , which means that the set of vectors is linearly independent.

, and

The following system of linear equations is obtained:

Since the number of variables is greater than the number of equations, let suppose that , where . Then, the following relationships are consequently found:

It is evident that and are multiples of , which means that the set of vector are linearly dependent.

, and

The following system of linear equations is obtained:

Whose solution is , which means that the set of vectors is linearly independent.

The set of vectors A and C are linearly independent.

a: inscribed angles

step-by-step explanation:

i reviewed this question with a peer and teacher, seems to be correct, me later

answer

a) the midrange of the data set shown is 85.5

step by step explanation

let's find the midrange.

the midrange is nothing but add the greatest value and the least value, then divide it by 2.

here the greatest value = 99

the least value = 72

midrange = (99 + 72)/2

= 171/2

midrange = 85.5

you.