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tatyana61 [14]
3 years ago
12

What expressions are equivalent to 10^-5x10^2

Mathematics
1 answer:
Semenov [28]3 years ago
6 0

Answer:

Answer= D and E

Step-by-step explanation:

(for two powers multiplied together we add them)

10^{-5}×10^{2}

=10^{-5+2}

=10^{-3}

this is the same as:

=\frac{1}{10^{3} } =\frac{1}{1000} (as x^{-y} is the same as \frac{1}{x^{y} })

or

(\frac{1}{10})^{3} (as this is the same as \frac{1}{10}×\frac{1}{10}×\frac{1}{10} which is equal to \frac{1}{1000} the answer for the question)

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Answer: both the left and right sides go to +∞

<u>Step-by-step explanation:</u>

End behavior can be determined by two things:

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  • Degree of the function

<u>Sign of leading coefficient</u>:

positive: right side goes to +∞

negative: right side goes to -∞

⇒ Leading coefficient of this function is 3 so the right side goes to +∞

<u>Degree (exponent of leading coefficient)</u>:

even: both the left and right sides point in the SAME direction

odd: the left and right sides point in OPPOSITE directions

⇒ Degree of this function is 4 so the left side will point in the same direction as the right side.

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Katie has a cat named
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Answer:

1/2 a cup or 0.5 cups per serving

Step-by-step explanation:

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Describe a sequence of transformations that transform the graph of the parent function f into the graph of the function g.
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Answer:

The sequence is: Refection across y-axis, Horizontal Shrink, Horizontal Translation and Reflection across x-axis.

Step-by-step explanation:

Since, we are given f(x) = square root x.

The sequence of transformations which transform f(x) into g(x) is given by:

1. Reflection across y-axis i.e. f( x ) to f( -x )

2. Horizontal Shrinking i.e. f( -x ) to f( -x/2 )

3. Horizontal Translation i.e. f( -x/2 ) to f( -x/2 + 3 )

4. Reflection across x-axis i.e. f( -x/2 + 3 ) to -f( -x/2 + 3).

The step by step graphical representation can also be viewed below.

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Which statements can be concluded from the diagram and used to prove that the triangles are similar by the SAS similarity theore
velikii [3]

Answer:

RS/VU=ST/UT and ∠S≅∠U

Step-by-step explanation:

we know that

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In this problem the included angle is

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side RS must be proportional to side VU  and side ST must be proportional to side UT

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<em>Verify</em>

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