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AlexFokin [52]
2 years ago
15

4.05 x 10^-2 Standard Form

Mathematics
1 answer:
defon2 years ago
5 0

Answer:

0.0405

Step-by-step explanation:

10^-2 is the same as 1/100, so if you multiply 4.05 x 1/100, you get 0.0405.

Another way to think about it is by looking at the exponent -2.  You need to move the decimal point 2 spaces to the left -- and add zeroes to any spaces that don't already have numbers.

So if you start with 4.05, and move the decimal one space to the left, you get 0.405, and then you move it one more space, and you get 0.0405.

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What is the solution to the following system?
leva [86]

Answer:

(4,3,2)

Step-by-step explanation:

We can solve this via matrices, so the equations given can be written in matrix form as:

\left[\begin{array}{cccc}3&2&1&20\\1&-4&-1&-10\\2&1&2&15\end{array}\right]

Now I will shift rows to make my pivot point (top left) a 1 and so:

\left[\begin{array}{cccc}1&-4&-1&-10\\2&1&2&15\\3&2&1&20\end{array}\right]

Next I will come up with algorithms that can cancel out numbers where R1 means row 1, R2 means row 2 and R3 means row three therefore,

-2R1+R2=R2 , -3R1+R3=R3

\left[\begin{array}{cccc}1&-4&-1&-10\\0&9&4&35\\0&14&4&50\end{array}\right]

\frac{R_2}{9}=R_2


\left[\begin{array}{cccc}1&-4&-1&-10\\0&1&\frac{4}{9}&\frac{35}{9}\\0&14&4&50\end{array}\right]


4R2+R1=R1 , -14R2+R3=R3

\left[\begin{array}{cccc}1&0&\frac{7}{9}&\frac{50}{9}\\0&1&\frac{4}{9}&\frac{35}{9}\\0&0&-\frac{20}{9}&-\frac{40}{9}\end{array}\right]


-\frac{9}{20}R_3=R_3

\left[\begin{array}{cccc}1&0&\frac{7}{9}&\frac{50}{9}\\0&1&\frac{4}{9}&\frac{35}{9}\\0&0&1&2\end{array}\right]


-\frac{4}{9}R_3+R_2=R2 , -\frac{7}{9}R_3+R_1=R_1


\left[\begin{array}{cccc}1&0&0&4\\0&1&0&3\\0&0&1&2\end{array}\right]


Therefore the solution to the system of equations are (x,y,z) = (4,3,2)

Note: If answer choices are given, plug them in and see if you get what is "equal to".  Meaning plug in 4 for x, 3 for y and 2 for z in the first equation and you should get 20, second equation -10 and third 15.

7 0
3 years ago
What does it mean about the data when a whisker is shorter?
Ksenya-84 [330]

Answer:

It means that the whisker is shorter in the data

Step-by-step explanation:

6 0
2 years ago
Help!! I'll give points if anybody can answer these for me!
galina1969 [7]

Transformation involves changing the position of a shape.

The transformation from \triangle ABC to \triangle A'B'C' is 90 degrees clockwise rotation

Using the coordinates of A and A', we have:

A= (-6,3)

A'= (3,6)

Notice that the x-coordinate is <em>negated </em>and then <em>swapped </em>with the y-coordinate.

i.e.

(x,y) \to (y,-x)

The transformation of a point from <em>(x,y) to (y,-x)</em> is a 90 degrees clockwise rotation.

Hence, the transformation from \triangle ABC to \triangle A'B'C' is 90 degrees clockwise rotation

Read more about transformations at:

brainly.com/question/13801312

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How do i divide using polynomial long division
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1.divide the first term of the numerator by the first team of the denominator, and put that in the answer
2. Multiply the denominator by that answer, put that below the numerator
3.subtract to create a new polynomial
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Which quadrant does the coordinate (-8, 12) lie?
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In quadrant 2 is where it lies.
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