The factorization of the numbers is obtained as
(a) 36 = 2² x 3²,
(b) 60 = 2² x 3 x 5,
(c) 84 = 2² x 3 x 7,
(d) 99 = 3² x 11 and
(d) 180 = 2² x 3² x 5
<h3>Factor of the numbers</h3>
To factorize the numbers we use their factors as show below;
<h3>Factors of 36</h3>
36 = 2² x 3²
<h3>Factors of 60</h3>
60 = 2² x 3 x 5
<h3>Factors of 84</h3>
84 = 2² x 3 x 7
<h3>Factors of 99</h3>
99 = 3² x 11
<h3>Factors of 180</h3>
180 = 2² x 3² x 5
Thus, the factorization of the numbers is obtained as 36 = 2² x 3², 60 = 2² x 3 x 5, 84 = 2² x 3 x 7, 99 = 3² x 11 and 180 = 2² x 3² x 5.
Learn more about factorization here: brainly.com/question/25829061
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Answer:
![r=\sqrt[3]{\frac{3V}{4\pi}}](https://tex.z-dn.net/?f=r%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B3V%7D%7B4%5Cpi%7D%7D)
Step-by-step explanation:
We need to isolate 'r'
To isolate 'r' , first multiply by 3 on both sides
divide by 4pi on both sides
Take cube root on both sides
![\sqrt[3]{\frac{3V}{4\pi}}= r](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7B3V%7D%7B4%5Cpi%7D%7D%3D%20r)
Hey there!!
Let's take the length of the bigger piece as x inches
Then, the length of the smaller piece would be x - 8 inches
The sum of these lengths would be 54 inches
... x + x - 8 = 54
... 2x - 8 = 54
... Add 8 on both sides
... 2x = 62
... Divide 2 on both sides
... x = 31
Hence, the length of the bigger piece = 31 inches
The length of the smaller piece would be = 31 - 8 = 23 inches
Hope my answer helps!!
Answer:
55
Step-by-step explanation:
Add the numbers 5 + 8 and you get 13. Multiply 13 x 2 which is 26. Add 33 + 26 and you get 59. Then, subtract it by 4 and you get 55.
Answer:
Step-by-step explanation:
1) The Fundamental Theorem of Calculus in its first part, shows us a reciprocal relationship between Derivatives and Integration
2) In this case, we'll need to find the derivative applying the chain rule. As it follows:
3) To test it, just integrate:
