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erik [133]
3 years ago
11

Write an expression with a negative exponent that has a value between 0 and 1/2

Mathematics
1 answer:
aliya0001 [1]3 years ago
4 0
<span>Exponent is a number used to express shorter equation; it is a number that says how many times you are going to multiply the base number.
</span><span>
Exponents have several laws, here are some:
=> x^1 = x
=> x^0 = 1
=> x^-1 = 1/x
=> x^m x^n = X^m+n
=> x^m/x^n = x^m-n

And since we were asked to write an expression with a negative exponent that has a value between 0 and ½
=> 2^ -2 = ½

</span>



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If sec(theta) =25/24, find cot(theta) (Picture provided)
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Answer:

B

Step-by-step explanation:

By the definition,

\sec \theta=\dfrac{\text{hypotenuse}}{\text{adjacent leg}}.

If \sec \theta=\dfrac{25}{24}, we can consider right triangle with hypotenuse 25 un. and adjacent leg 24 un. By the Pythagorean theorem,

\text{hypotenuse}^2=\text{adjacent leg}^2+\text{opposite leg}^2,\\ \\\text{opposite leg}^2=25^2-24^2,\\ \\\text{opposite leg}^2=625-576,\\ \\\text{opposite leg}^2=49,\\ \\\text{opposite leg}=7\ un.

So,

\cot \theta=\dfrac{\text{adjacent leg}}{\text{opposite leg}}=\dfrac{24}{7}.

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You were testing orange juice recipes it’s recipe calls for orange juice concentrate and water mix one has 4 cups of concentrate
Sav [38]

Answer:

First mixed is the most orangey.

Step-by-step explanation:

First:

Orange\ juice\ concentrate=4\ cups\\\\Water=6\ cups\\\\Tota\ content=4+6=10\ cups\\\\Percentage\ of\ orange\ juice\ concentrate=\frac{Orange\ juice\ concentrate}{Total\ amount}\times 100\\\\Percentage\ of\ orange\ juice\ concentrate=\frac{4}{10}\times 100=40\%

Second:

Orange\ juice\ concentrate=1\ cups\\\\Water=3\ cups\\\\Tota\ content=1+3=4\ cups\\\\Percentage\ of\ orange\ juice\ concentrate=\frac{Orange\ juice\ concentrate}{Total\ amount}\times 100\\\\Percentage\ of\ orange\ juice\ concentrate=\frac{1}{4}\times 100=25\%

Third:

Orange\ juice\ concentrate=2\ cups\\\\Water=4\ cups\\\\Tota\ content=2+4=6\ cups\\\\Percentage\ of\ orange\ juice\ concentrate=\frac{Orange\ juice\ concentrate}{Total\ amount}\times 100\\\\Percentage\ of\ orange\ juice\ concentrate=\frac{2}{6}\times 100=33.33\%

First mixed has highest percentage of orange juice. Hence first mixed is the most orangey.

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cestrela7 [59]
48.00 is the answer your looking for
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