Answer:
<h2>4 bilion = 4 × 10⁹</h2>
Step-by-step explanation:
The scientific notation:

where

4 billion:
in USA: 4,000,000,000
in Europe: 4 000 000 000 000

Translate that to english please?
Answer:
-1 1/64
Step-by-step explanation:
13/8 * - 5/8 = -65/64, or -1 1/64
I hope this helped, please mark Brainliest, thank you!!
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:
There would be 12 gallons left
Step-by-step explanation:
If there was 76 of the 2 quarter pitchers that would make 152 Qt and 152 Qt equals 38 gallons so 50 - 38 = 12