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Alecsey [184]
2 years ago
14

Which answer choice shows 4 + 0.3 + 0.09 written in standard form?

Mathematics
2 answers:
puteri [66]2 years ago
8 0

Solution:

<u>A few changes were made:</u>

  • 4 as 4.00.
  • 0.3 as 0.30

<u>New equation:</u>

  • 4 + 0.3 + 0.09 = 4.00 + 0.30 + 0.09

<u>Solving the equation:</u>

  • 4.00 + 0.30 + 0.09
  • => 4.39 (Refer to image for work)

Correct option is B.

katrin [286]2 years ago
3 0

Answer:

B)

Step-by-step explanation:

4 + 0.3 + 0.09 = 4.39

standard form is written in the form of a \times 10^n, where a is a number bigger than or equal to 1 and less than 10.

Therefore, 4.39 written in standard form is \mathsf{4.39 \times 10^0}

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If a=i+7j+k and b=i+11j+k, find a unit vector with positive first coordinate orthogonal to both a and
Scilla [17]
Take the cross product, then normalize the result.

\mathbf a\times\mathbf b=\begin{vmatrix}\mathbf i&\mathbf j&\mathbf k\\1&7&1\\1&11&1\end{vmatrix}=-4\,\mathbf i+4\,\mathbf k

This has norm

\|\mathbf a\times\mathbf b\|=\sqrt{(-4)^2+4^2}=4\sqrt2

and so a unit vector orthogonal to both given vectors is

\dfrac{\mathbf a\times\mathbf b}{\|\mathbf a\times\mathbf b\|}=-\dfrac1{\sqrt2}\,\mathbf i+\dfrac1{\sqrt2}\,\mathbf k

An equally correct answer would be the negative of this vector, since \mathbf b\times\mathbf a=-\mathbf a\times\mathbf b.
5 0
3 years ago
jenna has a piece of paper that is 84 square inches in area. it is 10 1/2 inches long. what is the length of the piece of paper
skad [1K]
Here is the solution based on the given problem above.
Given: Area of the piece of paper = 84 square inches
           Width = 10 1/2 or 10.5 inches long
           ? = length of the piece of paper
To find the area of an object, the formula would be A= L x W
Now, let's substitute the given values above
84in2 = L(10.5in)
Now, divide both sides with 10.5 and we get 8.
L = 8 inches.
Therefore, the length of the paper is 8 inches. 
Hope this solution helps. 
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3 years ago
To $28.35 find the. total cost if the tax is 6.25% and a 20% tip
Alik [6]
Your answer:
20% of 28.35 is 5.67. 6.25% of 28.35 is 1.77. Add 28.35, 5.60, and 1.77 to get the final total of $35.79
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Answer:

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Step-by-step explanation:

Number of bottles

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