The value of a is 70° and b is 20°
The answer is 8/5.
To divide fractions, flip the second fraction and multiply.
For example,
= 6/7 • 21/5
= 126/35
Simplify by dividing both sides by 7 to get your answer.
= 8/5
Answer:
3 dogs
Step-by-step explanation:
Idk if the 5 dog was supposed to have a s but if not its 5 btw that's really sad
To solve this problem, you have to know these two special factorizations:
Knowing these tells us that if we want to rationalize the numerator. we want to use the top equation to our advantage. Let:
![\sqrt[3]{x+h}=x\\ \sqrt[3]{x}=y](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7Bx%2Bh%7D%3Dx%5C%5C%20%5Csqrt%5B3%5D%7Bx%7D%3Dy%20)
That tells us that we have:
So, since we have one part of the special factorization, we need to multiply the top and the bottom by the other part, so:
So, we have:
![\frac{x+h-h}{h(\sqrt[3]{(x+h)^2}+\sqrt[3]{(x+h)(x)}+\sqrt[3]{x^2})}=\\ \frac{x}{\sqrt[3]{(x+h)^2}+\sqrt[3]{(x+h)(x)}+\sqrt[3]{x^2}}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%2Bh-h%7D%7Bh%28%5Csqrt%5B3%5D%7B%28x%2Bh%29%5E2%7D%2B%5Csqrt%5B3%5D%7B%28x%2Bh%29%28x%29%7D%2B%5Csqrt%5B3%5D%7Bx%5E2%7D%29%7D%3D%5C%5C%20%5Cfrac%7Bx%7D%7B%5Csqrt%5B3%5D%7B%28x%2Bh%29%5E2%7D%2B%5Csqrt%5B3%5D%7B%28x%2Bh%29%28x%29%7D%2B%5Csqrt%5B3%5D%7Bx%5E2%7D%7D%20)
That is our rational expression with a rationalized numerator.
Also, you could just mutiply by:
![\frac{1}{\sqrt[3]{x_h}-\sqrt[3]{x}} \text{ to get}\\ \frac{1}{h\sqrt[3]{x+h}-h\sqrt[3]{h}}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B%5Csqrt%5B3%5D%7Bx_h%7D-%5Csqrt%5B3%5D%7Bx%7D%7D%20%5Ctext%7B%20to%20get%7D%5C%5C%20%5Cfrac%7B1%7D%7Bh%5Csqrt%5B3%5D%7Bx%2Bh%7D-h%5Csqrt%5B3%5D%7Bh%7D%7D%20)
Either way, our expression is rationalized.
- The mean of the number of hours worked by these students is 14 hours.
- The median is 12.5 hours.
The mean is the sum of all the hours listed divided by the number of seniors asked:
= ( 0 + 0 + 0 + 8 + 8 + 10 + 12 + 13 + 15 + 15 + 17 + 20 + 22 + 56) / 14
= 196 / 14
= 14 hours
The mean number of hours is 14 hours.
The median
Because the number of student interviewed is an even number, the median is calculated by taking the average of the two numbers in the middle.
<em>The numbers are ⇒ 12, 13</em>
Median is therefore :
= ( 12 + 13) /2
= 12.5 hours
In conclusion, the mean is 14 hours and the median is 12.5 hours.
<em>Find out more at brainly.com/question/11284383</em>
