Answer:
8
Step-by-step explanation:
all numbers must be positive when you have the lines on the side
Step-by-step explanation:
![\tt{( {p}^{10} {r}^{ - 5) ^{ \: \frac{1}{5} } } }](https://tex.z-dn.net/?f=%20%5Ctt%7B%28%20%7Bp%7D%5E%7B10%7D%20%7Br%7D%5E%7B%20-%205%29%20%5E%7B%20%5C%3A%20%20%5Cfrac%7B1%7D%7B5%7D%20%7D%20%7D%20%20%7D)
⟶ ![\tt{ {p}^{10 \times \frac{1}{5}} \: {r}^{ - 5 \times \frac{1}{5} } }](https://tex.z-dn.net/?f=%20%5Ctt%7B%20%7Bp%7D%5E%7B10%20%5Ctimes%20%20%5Cfrac%7B1%7D%7B5%7D%7D%20%20%5C%3A%20%7Br%7D%5E%7B%20-%205%20%5Ctimes%20%20%5Cfrac%7B1%7D%7B5%7D%20%7D%20%20%7D%20)
⟶ ![\tt{ {p}^{2} \: {r}^{ - 1}}](https://tex.z-dn.net/?f=%20%5Ctt%7B%20%7Bp%7D%5E%7B2%7D%20%20%5C%3A%20%20%7Br%7D%5E%7B%20-%201%7D%7D%20)
⟶ ![\tt{ {p}^{2} \cdot \frac{1}{r}}](https://tex.z-dn.net/?f=%20%5Ctt%7B%20%7Bp%7D%5E%7B2%7D%20%20%5Ccdot%20%5Cfrac%7B1%7D%7Br%7D%7D%20)
⟶ ![\boxed{ \tt{ \frac{ {p}^{2} }{r}}}](https://tex.z-dn.net/?f=%20%5Cboxed%7B%20%5Ctt%7B%20%5Cfrac%7B%20%7Bp%7D%5E%7B2%7D%20%7D%7Br%7D%7D%7D%20)
![\red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \tt{ \frac{ {p}^{2} }{r}}}}}}}](https://tex.z-dn.net/?f=%20%5Cred%7B%20%5Cboxed%7B%20%5Cboxed%7B%20%5Ctt%7BOur%20%5C%3A%20final%20%5C%3A%20answer%20%3A%20%20%5Cboxed%7B%20%5Ctt%7B%20%20%5Cfrac%7B%20%7Bp%7D%5E%7B2%7D%20%7D%7Br%7D%7D%7D%7D%7D%7D%7D%20)
Hope I helped ! ♡
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The function that represents how much more water can be added to the bucket before it overflows is given as follows:
c(x) = 6x³ + 3x² - 2x - 2.
<h3>How to define the function?</h3>
The function to calculate the space remaining in the pool is given by the subtraction of the capacity function by the function representing the current amount of water in the pool.
The functions in this problem are defined as follows:
- f(x) = 8x³ + 4x² - 6x + 5.
- g(x) = 2x³ + x² - 4x + 7.
Then the capacity function is obtained as follows:
c(x) = f(x) - g(x)
c(x) = 8x³ + 4x² - 6x + 5 - (2x³ + x² - 4x + 7)
Then the distributive property is applied to the negative sign as follows:
c(x) = 8x³ + 4x² - 6x + 5 - 2x³ - x² + 4x - 7.
Finally, the like terms are combined, that is, the terms that have the same variable and exponent, as follows:
c(x) = 6x³ + 3x² - 2x - 2.
More can be learned about operations with functions at brainly.com/question/2723982
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Answer:
5,682.615
Step-by-step explanation:
The population has to be a decimal because, there is a survey of 12,065 women and the country found 47.1% got the influenza vaccine. The population is 5,682.615 because, you are trying to find how many people got the vaccine. The sample is, 2.12 because, you need to divide the total of women and the population to get your sample. This is what I got tought.
Hope this helps! <3 I'm always here for help that's why we are learners!