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Alenkasestr [34]
4 years ago
6

Which of the following Metric prefixes is largest? A. Micro B. Nano C. Centi D. Milli

Mathematics
1 answer:
Nikolay [14]4 years ago
7 0

Note that:

Micro = 1e + 6  of a meter

Nano = 1e + 9 of a meter

Centi = 100 of a meter

Milli = 1000 of a meter

In this case, nano, or (B) is your answer

hope this helps

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Find the values of the six trigonometric functions of an angle in standard position if the point with coordinates (5,-12) lies o
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Answer:

Using A^2+B^2=C^2

12^2+5^2=169

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Sin(Ø)= 5/13

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csc(Ø)=13/5

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Please said thanks

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What is the slope of this line?
Lynna [10]

\frac{ - 2}{2}
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Write in Slope Intercept Form:
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1) -1
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3 years ago
Use mathematical induction to prove the statement is true for all positive integers n, or show why it is false:
kondaur [170]
\text{Proof by induction:}
\text{Test that the statement holds or n = 1}

LHS = (3 - 2)^{2} = 1
RHS = \frac{6 - 4}{2} = \frac{2}{2} = 1 = LHS
\text{Thus, the statement holds for the base case.}

\text{Assume the statement holds for some arbitrary term, n= k}
1^{2} + 4^{2} + 7^{2} + ... + (3k - 2)^{2} = \frac{k(6k^{2} - 3k - 1)}{2}

\text{Prove it is true for n = k + 1}
RTP: 1^{2} + 4^{2} + 7^{2} + ... + [3(k + 1) - 2]^{2} = \frac{(k + 1)[6(k + 1)^{2} - 3(k + 1) - 1]}{2} = \frac{(k + 1)[6k^{2} + 9k + 2]}{2}

LHS = \underbrace{1^{2} + 4^{2} + 7^{2} + ... + (3k - 2)^{2}}_{\frac{k(6k^{2} - 3k - 1)}{2}} + [3(k + 1) - 2]^{2}
= \frac{k(6k^{2} - 3k - 1)}{2} + [3(k + 1) - 2]^{2}
= \frac{k(6k^{2} - 3k - 1) + 2[3(k + 1) - 2]^{2}}{2}
= \frac{k(6k^{2} - 3k - 1) + 2(3k + 1)^{2}}{2}
= \frac{k(6k^{2} - 3k - 1) + 18k^{2} + 12k + 2}{2}
= \frac{k(6k^{2} - 3k - 1 + 18k + 12) + 2}{2}
= \frac{k(6k^{2} + 15k + 11) + 2}{}
= \frac{(k + 1)[6k^{2} + 9k + 2]}{2}
= \frac{(k + 1)[6(k + 1)^{2} - 3(k + 1) - 1]}{2}
= RHS

Since it is true for n = 1, n = k, and n = k + 1, by the principles of mathematical induction, it is true for all positive values of n.
3 0
4 years ago
Carl want to plant a garden that is 1 1/2 yards long and has the area of 3 1/2 sq yards how wide should he make the garden
Xelga [282]

Answer: 2 1/3 feet

Step-by-step explanation:

3.5 / 1.5 = 2 1/3

8 0
3 years ago
Read 2 more answers
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