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yarga [219]
3 years ago
10

Simplify (10–2) 4. A) 10^-8 B)10^-6 C)-10^-6 D)-10^8

Mathematics
2 answers:
Hatshy [7]3 years ago
8 0

Answer:

A

Step-by-step explanation:

(10^{-2})^{4}

Apply the law of exponents.

10^{-2 \times 4}

=10^{-8}

ololo11 [35]3 years ago
5 0

Answer:

= {10}^{ - 8}  \\

Answer A is correct.

Step-by-step explanation:

{( {10}^{ - 2}) }^{4}  \\  {10}^{ - 2 \times 4}  \\   = {10}^{ - 8}

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Given that x+y=1, we have y=1-x, so that

f(x,y)=x^2+y^2\iff g(x)=x^2+(1-x)^2

Take the derivative and find the critical points of g:

g'(x)=2x-2(1-x)=4x-2=0\implies x=\dfrac12

Take the second derivative and evaluate it at the critical point:

g''(x)=4>0

Since g'' is positive for all x, the critical point is a minimum.

At the critical point, we get the minimum value g\left(\frac12\right)=f\left(\frac12,\frac12\right)=\frac12.

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A line includes the points (0,2) and (1,6).
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5. A flock of geese flies 50 miles per hour. Write a linear
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Step-by-step explanation:

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ax^2+bx+c=0

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Therefore, x=3 or x=1.

8 0
9 months ago
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