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Simora [160]
3 years ago
11

Carlos' monthly office budget is $250. He needs to buy ink cartridges, which cost $40 a piece. he will save at least $50 of his

budget for reams of paper. what is the range of ink cartridges he can buy and still have enough money left over for reams of paper?
Mathematics
1 answer:
levacccp [35]3 years ago
5 0

Answer:

26

Step-by-step explanation:

yeah

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Find two unit vectors orthogonal to both given vectors. i j k, 4i k
Maurinko [17]
The cross product of two vectors gives a third vector \mathbf v that is orthogonal to the first two.

\mathbf v=(\vec i+\vec j+\vec k)\times(4\,\vec i+\vec k)=\begin{vmatrix}\vec i&\vec j&\vec k\\1&1&1\\4&0&1\end{vmatrix}=\vec i+3\,\vec j-4\,\vec k

Normalize this vector by dividing it by its norm:

\dfrac{\mathbf v}{\|\mathbf v\|}=\dfrac{\vec i+3\,\vec j-4\,\vec k}{\sqrt{1^2+3^2+(-4)^2}}=\dfrac1{\sqrt{26}}(\vec i+3\,\vec j-4\vec k)

To get another vector orthogonal to the first two, you can just change the sign and use -\mathbf v.
6 0
3 years ago
Please help. Please explain. Please get it correct!
dangina [55]

Answer:5/6

Step-by-step explanation:

5 0
3 years ago
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What is the slope of the equation y = 3x + 2?
Softa [21]

Answer:

3

Step-by-step explanation:

the equation is y=mx+b

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hope this helps :3

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7 0
3 years ago
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7 - 3x = 5x + 13. <br><br> What is x?
eduard

Answer:

x= -3/4 or -0.75

Step-by-step explanation:

1) subtract 7 from both sides which would make it

-3x= 5x+6

2) Subtract 5x from both sides which would make it

-8x-6

3) Divide both sides by -8

which gives you -3/4

7 0
3 years ago
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3^8•3^-9 can you please help no work needed
netineya [11]
3^8 = <span>6561
3^9 = </span><span>19683
6581 x 19683 = </span><span>129533823 
quite a big number</span>
5 0
3 years ago
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