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3 years ago

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Kevin is buying water for his camping trip. He knows he needs at least 20 gallons of water for the trip. He already has five and

a half gallons. The water comes in 32-fluid ounce (quarter-gallon) containers. What algebraic inequality represents this situation?

2 answers:

pashok25 [27]3 years ago

3 0

5.5< OR = Equal to 20

Masja [62]3 years ago

3 0

a. is the correct answer

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Matrices A and B are square matrices of the same size. Prove Tr(c(A + B)) = C (Tr(A) + Tr(B)).

alexira [117]

Answer with Step-by-step explanation:

We are given that two matrices A and B are square matrices of the same size.

We have to prove that

Tr(C(A+B)=C(Tr(A)+Tr(B))

Where C is constant

We know that tr A=Sum of diagonal elements of A

Therefore,

Tr(A)=Sum of diagonal elements of A

Tr(B)=Sum of diagonal elements of B

C(Tr(A))= $C\cdot$ Sum of diagonal elements of A

C(Tr(B))= $C\cdot$ Sum of diagonal elements of B

$C(A+B)=C\cdot (A+B)$

Tr(C(A+B)=Sum of diagonal elements of (C(A+B))

Suppose ,A= $\left[\begin{array}{ccc}1&0\\1&1\end{array}\right]$

B= $\left[\begin{array}{ccc}1&1\\1&1\end{array}\right]$

Tr(A)=1+1=2

Tr(B)=1+1=2

C(Tr(A)+Tr(B))=C(2+2)=4C

A+B= $\left[\begin{array}{ccc}1&0\\1&1\end{array}\right]+\left[\begin{array}{ccc}1&1\\1&1\end{array}\right]$

A+B= $\left[\begin{array}{ccc}2&1\\2&2\end{array}\right]$

C(A+B)= $\left[\begin{array}{ccc}2C&C\\2C&2C\end{array}\right]$

Tr(C(A+B))=2C+2C=4C

Hence, Tr(C(A+B)=C(Tr(A)+Tr(B))

Hence, proved.

5 0

4 years ago

Use the formula f=1.8c+32 to convert -20 degrees into fahrenheit

qwelly [4]

It is -4!
1.8*-20=-36
32-36=-4

7 0

4 years ago

Pleeeasse help me!!! my time is running out

erica [24]

P(AA)=1/9
P(BB)=1/9
P(AA) or P(BB)=1/9+1/9=2/9=0.22

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3 years ago

Hellppp it’s meee again I neeed helppppp plzzz

kicyunya [14]

Its 7 hours and 15 minutes

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3 years ago

Art [367]

Answer:

its 32

Step-by-step explanation:

3 0

2 years ago