Answer:
○ ³\⁷
Step-by-step explanation:
Since you are multiplying ⁷√x three times, you write it like this first, ⁷√x³, then according to one of the Six Exponential Rules, ⁿ√aᵐ = aᵐ\ⁿ, ⁷√x³ gets rewritten as x³\⁷.
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Answer:
It's an irrational number
Step-by-step explanation:
Examples:
√2 = 1.4142135623730950488016887242096980785696718...
π = 3.14159265358979323846264338327950288419716939...
e = 2.718281828459045235360287...
∛10 = 2.1544346900318837217592935665193504952593449421921...
and more
If the number has a finite or repeating decimal, then it is a rational number.
Examples:
2.75
-1.3333...
0.4545454545...
Answer:
r =
Step-by-step explanation:
So we need to complete the square for both parts of the equation
First though we can add the 6 to the other side so we have x² + 2x + y² + 4y = 6
So first we can complete the square for x² + 2x
To do so we need to use to figure out the number we need to add to both sides
In this case our b is 2, so substituting this in we get
Here we add 1 to both sides and now we have x² + 2x + 1 + y² + 4y = 6 + 1
Now we can follow the same steps to complete the square for y² + 4y
Here our b is 4, so substituting this in we get
Now we add 4 to both sides and now we have x² + 2x + 1 + y² + 4y + 4 = 6 + 1 + 4
Now condensing everything we have (x + 1)² + (y + 2)² = 11
The formula for a circle is (x - h)² + (y - k)² = r²
In our equation we have r² = 11
To find the radius we need to take the square root of both sides to get r =
The answer will be 388.6 because you will use the formula V=pi.r^2.h.
pi we know is 3.14 we also know that radius is half the diameter so half of 5 is 2.5 and the height is 9 so here is what we have so far. V=3.14x2.5^2x9.
2.5x2.5=13.75 13.75x3.14=43.175 43.175x9=388.575 and if we round that it will be 388.6 so your answer is 388.6