We are given the following expression:
![\sqrt[3]{875}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B875%7D)
We can factor 875 as:
![\sqrt[3]{125\times7}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B125%5Ctimes7%7D)
Now we will use the following property:
![\sqrt[x]{a\times b}=\sqrt[x]{a}\times\sqrt[x]{b}](https://tex.z-dn.net/?f=%5Csqrt%5Bx%5D%7Ba%5Ctimes%20b%7D%3D%5Csqrt%5Bx%5D%7Ba%7D%5Ctimes%5Csqrt%5Bx%5D%7Bb%7D)
Applying the property:
![\sqrt[3]{125}\times\sqrt[3]{7}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B125%7D%5Ctimes%5Csqrt%5B3%5D%7B7%7D)
Solving the cubic root on the left:
![5\sqrt[3]{7}](https://tex.z-dn.net/?f=5%5Csqrt%5B3%5D%7B7%7D)
Since we get simplify any further this is the answer.
To add or sum this arrary, beg ∈ {array} {r} 37 \202\ + 160/ ∈ end {array} gives <u>A) 399</u>.
<h3>What is an array?</h3>
An array is a data structure made up of some elements.
The sum of all elements in an array is found by adding up the elements in the array.
<h3>Data and Calculations:</h3>
Elements of the array = 37, 202, and 160
The sum of the array, 37 + 202 + 160 = 399
Thus, to add or sum this arrary, beg ∈ {array} {r} 37 \202\ + 160/ ∈ end {array} gives <u>A) 399</u>.
Learn more about arrays at brainly.com/question/23698059
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<h3>Question:</h3>
Add beg ∈ {array} {r} 37 \202\ + 160/ ∈ end {array}
<h3>Answer Options:</h3>
A) 399
B) 389
C) 400
D) 409
Since E is the midpoint of DF, DE and EF are two halves of DF. First, let's write down what we know.
DE = 3x + 4
EF = 5x - 2
DE = EF
DE + EF = DF
Now, let's plug our values for DE and EF into our first expression.
3x + 4 = 5x -2
Add 2 to both sides and subtract 3x from both sides.
6 = 2x
Divide both sides by 2
3 = x
Let's plug 3 in for x into DE.
DE = 3x + 4 = 3(3) + 4 = 9 + 4 = 13
DE = EF = 13
We can plug 13 in for DE and EF to get DF
DF = DE + EF = 13 + 13 = 26
