Plzz help me!!!

Mathematics

1 answer:

labwork [276]2 years ago

6 0

Answer:

Can you add a picture or visual model if there is one?

Step-by-step explanation:

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Helena had a balance of $14.48 left on a gift card. She bought a muffin each for her, and five of her friends. The cost of each

Ivenika [448]

She spent $6.12 on the muffins for her and her friends, and she has $8.36 left on her gift card. By multiplying 6 by $1.02, you get the amount she spent, and by subtracting $14.48 by $6.12, I find how much she has left on her gift card.

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2 years ago

How do I rename the number 5 hundreds 8 tens

Phantasy [73]

5 hundred is 500

8 tens is 80

So 5 hundred 8 tens is <em><u>580</u></em>

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2 years ago

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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 $-\mathbf v$ .