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xeze [42]
3 years ago
13

Kory calculated several numbers in his calculator. The result displayed 1.3E-2 on the calculator screen. Which equivalent number

(s) does this represent? Select all that apply. 13 × 102 130 0.013 1.3 × 10-2 -0.013
Mathematics
2 answers:
AlexFokin [52]3 years ago
6 0

Answer:

Option 3 -  1.3E-2=0.013

option 4 -   1.3E-2=1.3\times 10^{-2}

Step-by-step explanation:

Given : Kory calculated several numbers in his calculator. The result displayed 1.3E-2 on the calculator screen.

To find : Which equivalent number(s) does this represent?

Solution :

The result displayed 1.3E-2 on the calculator screen is written in scientific notation where E represents 10 to the power.

So, We can write 1.3E-2 in standard notation,

1.3E-2=1.3\times 10^{-2}

or 1.3E-2=\frac{13}{10}\times \frac{1}{100}

1.3E-2=0.013

Therefore, Option 3 and 4 are equivalent.

frosja888 [35]3 years ago
5 0

Answer:

  • 0.013
  • 1.3×10^(-2)

Step-by-step explanation:

Many calculators use "E" to signify "×10^( )". Thus ...

... 1.3E-2 = 1.3×10^(-2)

This number in scientific notation is equivalent to the standard form number ...

... 1.3×0.01 = 0.013

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3 years ago
Find the dot product of the position vectors whose terminal points are (14, 9) and (3, 6).
erma4kov [3.2K]

Answer:

Step-by-step explanation:

The formula for the dot product of vectors is

u·v = |u||v|cosθ

where |u| and |v| are the magnitudes (lengths) of the vectors. The formula for that is the same as Pythagorean's Theorem.

|u|=\sqrt{14^2+9^2} which is \sqrt{277}

|v|=\sqrt{3^2+6^2} which is \sqrt{45}

I am assuming by looking at the above that you can determine where the numbers under the square root signs came from. It's pretty apparent.

We also need the angle, which of course has its own formula.

cos\theta=\frac{uv}{|u||v|} where uv has ITS own formula:

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To get the denominator, multiply the lengths of the vectors together. Then take the inverse cosine of the whole mess:

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6 0
3 years ago
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