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4 years ago

How does math help you determine the amount of watts your wind turbine produces?

1 answer:

4 0

The formula for the electric power is P = π/2 * r² * v³ * ρ * η, one watt is calculated as 1 W = 1 kg * m² / s³. Example: an offshore wind turbine with a radius of 80 meters at a wind speed of 15 meters per second has a power of 16.3 megawatts, if air density and efficiency factor have the given values.

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How to evaluate the limit

anzhelika [568]

$\displaystyle\lim_{x\to2}\frac{x^2-x+6}{x+2}$

Both the numerator and denominator are continuous at $x=2$ , which means the quotient rule for limits applies:

$\dfrac{\displaystyle\lim_{x\to2}(x^2-x+6)}{\displaystyle\lim_{x\to2}(x+2)}=\dfrac{2^2-2+6}{2+2}=\dfrac84=2$

Perhaps you meant to write that $x\to-2$ instead? In that case, you would have

$\displaystyle\lim_{x\to-2}\frac{x^2-x+6}{x+2}=\lim_{x\to-2}\frac{(x+2)(x-3)}{x+2}=\lim_{x\to-2}(x-3)=-2-3=-5$

4 0

3 years ago

Jonah runs 3/5 miles on Sunday and 7/10 miles on Monday.He uses the model to find that he ran a total of 1 mile. What mistake do

antoniya [11.8K]

Answer: He did not convert the fractions into the like fraction to add.

Step-by-step explanation:

Given: The distance Jonah runs on Sunday= $\frac{3}{5}$ miles

The distance Jonah runs on Monday= $\frac{7}{10}$ miles

The total distance he ran = $\frac{3}{5}+\frac{7}{10}\ miles$

Since both the fractions are not like , thus multiply 2 to the numerator and the denominator of the first fraction [to add fractions first convert them into like fractions], we get

The total distance he ran = $\frac{3\times2}{5\times2}+\frac{7}{10}\ miles$

$=\frac{6}{10}+\frac{7}{10}=\frac{6+7}{10}\\\\=\frac{13}{10}=1\frac{3}{10}\ miles$

The right answer is "The total distance he ran = $1\frac{3}{10}\ miles$ "

7 0

4 years ago

At the local nursery, 1/4 of the plants for sale are flowers and another 3/5 of them are bushes. What fraction of the plants for

Hitman42 [59]

Answer:

17/20

Step-by-step explanation:

1/4 +3/5 simplify into:

5/20 + 12/20= 17/20

5 0

2 years ago

I kind of understand this question, but I'm not sure how to answer it directly, can someone help please.

nordsb [41]

So here we use the pythagorean theorem which is a2 + b2 = c2 (“a” squared times “b” squared equals “c” squared) the length from calvins house to the intersection is “a” and the length from phoebes house to the intersection is “b” so in order to find out the length of “c” (calvins house to phoebes house) we need to use the pythagorean theorem

a2 275x275=75,625

b2 113x113 = 12,769

so now that we have figured out what a2 and b2 are let’s add them

75,625 + 12,769 = 88,394

now since we only need to find out the length and not the area we need to find the square root of 88,394

the square root of 88,394 is 297.311 (i cut off the decimal after three places)

the direct length from phoebes house to calvins is 297.311 meters

5 0

3 years ago

Kennedy brought 24 cookies to share with her classmates. 2/3 of cookies are chocolate chip. How many are chocolate chips?

My name is Ann [436]

Answer:

Step-by-step explanation:

"of" means "times"

⅔ of 24 = ⅔ × 24 = 48/3 = 16

4 0

4 years ago

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