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Slav-nsk [51]
3 years ago
9

Which of the following equations could you use to find the nth

Mathematics
1 answer:
Marta_Voda [28]3 years ago
8 0
Geometric: a(sub)n=a1r^n-1
arithmatic: a(sub)n=a1+(n-1)d
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My sister and I each brought a bottle of sunblock to the beach. My bottle had 89ml and my sister’s had 147ml. How much more sunb
mariarad [96]

Answer:

58 more ml

Step-by-step explanation:

147-89=58 ml.

7 0
2 years ago
Will the sign of the product of two negative numbers be negative or positive? Explain your answer.
gogolik [260]

Answer:

A

Step-by-step explanation:

6 0
2 years ago
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An n × n matrix B has characteristic polynomial p(λ) = −λ(λ − 3) 3 (λ − 2) 2 (λ + 1). Which of the following statements is false
asambeis [7]

Answer:

Only d) is false.

Step-by-step explanation:

Let p=p(\lambda)=\lambda(\lambda-3)^3 (\lambda-2)^2 (\lambda+1) 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 p(\lambda)=\det(B-\lambda I). 0 is a root of p, so we have that p(0)=\det(B-0 I)=\det B=0.

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.      

8 0
3 years ago
A seamstress has 1/4 of a foot of thread. Then she uses 1/5 of a foot of thread to sew a hole. How much of the thread is left?
Ilya [14]
Answer is <span>C) 1/20 of a foot

1/4 -1/5
= 5/20 - 4/20
=1/20</span>
3 0
3 years ago
Jason and his children went into a movie theater where they sell drinks for $4 each and pretzels for $5 each. Jason has $65 to s
klemol [59]

Answer:

Number of drink = 5

Number of pretzel = 9

Step-by-step explanation:

Given:

Cost of each drink = $4

Cost of each pretzel = $5

Total money = 65

Total number of drink and pretzel = 14

Find:

Number of drink and pretzel

Computation:

Number of drink = x

Number of pretzel = 14 - x

So,

x(4) + (14-x)5 = 65

4x + 70 - 5x = 65

x = 5

Number of drink = 5

Number of pretzel = 14 - x

Number of pretzel = 14 - 5 = 9

4 0
2 years ago
Read 2 more answers
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