So whats the rest of this question? its uncompleted.
Answer:
a) True
b) True
c) False
d) True
Step-by-step explanation:
A discrete variable is the one where the values taken by it are possible to count (usually the values are natural numbers)
On the other side, a continuous variable is the one that has an uncountable number of values. (usually the values are real numbers)
Considering these definitions we get:
a)The batting average of Joe’s favorite player is a continuous variable: True, this average can take any number among the real numbers.
b) The number of hot dogs that Joe bought is a discrete variable: True, Joe can only buy 1, 2, 3, 4... hot dogs, this set is countable and therefore is a discrete variable.
c) The number of strikeouts in the game is a continuous variable: False, the strikeouts are natural numbers (1, 2, 3, 4...) and therefore are countable and they are a discrete variable.
d) The Quakes standings in the league is a discrete variable: True. The standing of a team in a league is a discrete variable since it can be 1st place, 2nd place... and therefore it's countable.
Answer:
The equivalent expression for the given expression
is
![4x^{3} y^{2}(\sqrt[3]{4xy} )](https://tex.z-dn.net/?f=4x%5E%7B3%7D%20y%5E%7B2%7D%28%5Csqrt%5B3%5D%7B4xy%7D%20%29)
Step-by-step explanation:
Given:
![\sqrt[3]{256x^{10}y^{7} }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B256x%5E%7B10%7Dy%5E%7B7%7D%20%7D)
Solution:
We will see first what is Cube rooting.
![\sqrt[3]{x^{3}} = x](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%5E%7B3%7D%7D%20%3D%20x)
Law of Indices

Now, applying above property we get
![\sqrt[3]{256x^{10}y^{7} }=\sqrt[3]{(4^{3}\times 4\times (x^{3})^{3}\times x\times (y^{2})^{3}\times y )} \\\\\textrm{Cube Rooting we get}\\\sqrt[3]{256x^{10}y^{7} }= 4\times x^{3}\times y^{2}(\sqrt[3]{4xy}) \\\\\sqrt[3]{256x^{10}y^{7} }= 4x^{3}y^{2}(\sqrt[3]{4xy})](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B256x%5E%7B10%7Dy%5E%7B7%7D%20%7D%3D%5Csqrt%5B3%5D%7B%284%5E%7B3%7D%5Ctimes%204%5Ctimes%20%28x%5E%7B3%7D%29%5E%7B3%7D%5Ctimes%20x%5Ctimes%20%28y%5E%7B2%7D%29%5E%7B3%7D%5Ctimes%20y%20%20%20%29%7D%20%5C%5C%5C%5C%5Ctextrm%7BCube%20Rooting%20we%20get%7D%5C%5C%5Csqrt%5B3%5D%7B256x%5E%7B10%7Dy%5E%7B7%7D%20%7D%3D%204%5Ctimes%20x%5E%7B3%7D%5Ctimes%20y%5E%7B2%7D%28%5Csqrt%5B3%5D%7B4xy%7D%29%20%5C%5C%5C%5C%5Csqrt%5B3%5D%7B256x%5E%7B10%7Dy%5E%7B7%7D%20%7D%3D%204x%5E%7B3%7Dy%5E%7B2%7D%28%5Csqrt%5B3%5D%7B4xy%7D%29)
∴ The equivalent expression for the given expression
is
![4x^{3} y^{2}(\sqrt[3]{4xy} )](https://tex.z-dn.net/?f=4x%5E%7B3%7D%20y%5E%7B2%7D%28%5Csqrt%5B3%5D%7B4xy%7D%20%29)
Let the numbers be m and n. Then "<span>five times the quotient of two numbers" would be 5m/n.
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8*6=48, 4*8=32, 5*8= 40, 5*4/2= 10*2=20. So, 48 + 32 + 40 + 20= 140 so the answer is 140 cm squared! Hope this helps! Can I get brainliest pls