In order to find which <u>expression</u> is <u>equivalent</u> to
<u>simplify</u> all given expressions:
0.
1.
![x^2(\sqrt[4]{x^2})=x^2\cdot x^{\frac{2}{4}}=x^2\cdot x^{\frac{1}{2}}=x^2\cdot x^{0.5}=x^{2.5}.](https://tex.z-dn.net/?f=x%5E2%28%5Csqrt%5B4%5D%7Bx%5E2%7D%29%3Dx%5E2%5Ccdot%20x%5E%7B%5Cfrac%7B2%7D%7B4%7D%7D%3Dx%5E2%5Ccdot%20x%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%3Dx%5E2%5Ccdot%20x%5E%7B0.5%7D%3Dx%5E%7B2.5%7D.)
2.

3.
![x^3(\sqrt[4]{x} )=x^3\cdot x^{\frac{1}{4}}=x^3\cdot x^{0.25}=x^{3.25}.](https://tex.z-dn.net/?f=x%5E3%28%5Csqrt%5B4%5D%7Bx%7D%20%29%3Dx%5E3%5Ccdot%20x%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D%3Dx%5E3%5Ccdot%20x%5E%7B0.25%7D%3Dx%5E%7B3.25%7D.)
4.

Therefore,
Answer: correct choice is A
Answer:
A cube or a cuboid.
Step-by-step explanation:
A cube or a cuboid is a three dimensional shape that has
12 edges, 8 corners or vertices, and 6 faces.
The difference between a cube and cuboid is that a cube has all edges equal which makes every face a square while a cuboid has two square faces and four rectangular faces.
Answer:
$1300
Step-by-step explanation:
The extruder yields a revenue of $200per hour
Y denotes the number of breakdown per day.
The daily revenue generated is given as
R = 1600 - 50Y^2
We have an average of 2 breakdown per day
Lamda = 2
Represent lamda as β
E(Y) = β
E(Y(Y-1)) = β^2
E(Y^2) = E[Y(Y-1)] + E(Y)
= β^2 + β
E(R) = E(1600 - 50Y^2)
= 1600 - 50E(Y^2)
= 1600 - 50(β^2 +β)
Recall that β = lamda = 2
= 1600 - 50(2^2 + 2)
= 1600 - 50(4+2)
= 1600 - 50(6)
= 1600 - 300
= 1300
$1300
The expected daily revenue of the extruder is $1300
Answer:
The total money made by Grace is $477.
Step-by-step explanation:
Given:
Charge per hour for mowing lawn = $6
Charge per hour for pulling weeds = $11
Number of hours for which lawns are mowed = 63 hours
Number of hours for which weeds are pulled = 9 hours
Now, total money made by Grace in September can be calculated by adding the total money gained in mowing lawns and pulling weeds.
Total money gained in mowing lawns is given as:

Total money gained in pulling weeds is given as:

Now, total money made = 
Therefore, the total money made by Grace is $477.