Answer:
3312 square yards.
Step-by-step explanation:
Given:
The sports field at Patton Elementary School is shaped like a rectangle having:
Length = 72 yards
Breadth = 46 yards
Question asked:
What is the area of the field in square yard ?
Solution:
As here sports field at Patton Elementary School is shaped like a rectangle, thus we will use the formula ;
Thus, the area of the sports field at Patton Elementary School is 3312 square yards.
Answer:
Only d) is false.
Step-by-step explanation:
Let be the characteristic polynomial of B.
a) We use the rank-nullity theorem. First, note that 0 is an eigenvalue of algebraic multiplicity 1. The null space of B is equal to the eigenspace generated by 0. The dimension of this space is the geometric multiplicity of 0, which can't exceed the algebraic multiplicity. Then Nul(B)≤1. It can't happen that Nul(B)=0, because eigenspaces have positive dimension, therfore Nul(B)=1 and by the rank-nullity theorem, rank(B)=7-nul(B)=6 (B has size 7, see part e)
b) Remember that . 0 is a root of p, so we have that .
c) The matrix T must be a nxn matrix so that the product BTB is well defined. Therefore det(T) is defined and by part c) we have that det(BTB)=det(B)det(T)det(B)=0.
d) det(B)=0 by part c) so B is not invertible.
e) The degree of the characteristic polynomial p is equal to the size of the matrix B. Summing the multiplicities of each root, p has degree 7, therefore the size of B is n=7.
Answer:
24%
Step-by-step explanation:
25 - 19 = 6
25 = 100%
2.5 = 10%
1.25 = 5%
0.25 = 1%
5 = 20%
1 = 4%
6 = 24%
Hope this helps :)
Answer:
Step-by-step explanation:
- x^3*x^?=x^17
- x^(3 + ?) = x^17
- 3 + ? = 17
- ? = 14
Answer:
should be 15...
Step-by-step explanation: