Write each phrase as an algebraic expressionseven feet more than the height
2 answers:
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Answer:
Step-by-step explanation:
The expression to transform is:
Let's work first on the inside of the parenthesis.
Recall that the n-root of an expression can be written as a fractional exponent of the expression as follows:
Therefore
Now let's replace with
which is the algebraic form we are given inside the 6th root:
Now use the property that tells us how to proceed when we have "exponent of an exponent":
Therefore we get:
Finally remember that this expression was raised to the power 7, therefore:
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An use again the property for the exponent of a exponent:
To solve we need to use Pythagoras theorem ( 
)
There are 2 possible lengths for x: hypotenuse or one of the 2 shorter sides.
Hypotenuse:
10^{2} + 21^2 =
100+441=
23.3≈x
Shorter leg:
= 441-100
x≈18.47
There are 2 possible lengths for x: hypotenuse or one of the 2 shorter sides.
Hypotenuse:
10^{2} + 21^2 =
100+441=
23.3≈x
Shorter leg:
x≈18.47
Answer:
Step-by-step explanation:
For this case we have the following data given:
2.3 3.1 2.8
1.7 0.9 4.0
2.1 1.2 3.6
0.2 2.4 3.2
Since the data are assumedn normally distributed we can find the standard deviation with the following formula:
And we need to find the mean first with the following formula:
And replacing we got:
And then we can calculate the deviation and we got: