The closed formula for <span>an = an-1 – n will be found using the formula for arithmetic sequence given by:
an=a+d(n-1)
where
a=first term
d=common difference
n=number of terms
From the formula given:
a=4
d=n
thus the formula will be:
an=a+n(n-1)
an=4+n(n-1)
</span>
Based on dimensional analysis and unit conversion theory we conclude that an area of 359 square inches is equivalent to an area of 2.5 square feet.
<h3>How to apply dimensional analysis in unit conversion</h3>
In this question we need to convert a magnitude in a given unit to an <em>equivalent</em> magnitude with another unit. According to dimensional analysis, <em>unit</em> conversions are represented by the following expression:
y = A · x (1)
Where:
- x - Original magnitude, in square inches.
- y - Resulting magnitude, in square feet.
- A - Conversion factor, in square feet per square inch.
Dimensionally speaking, area is equal to the product of length and length:
[Area] = [Length] × [Length]
And a feet is equivalent to 12 inches. Now we proceed to convert the magnitude to square feet:
x = 359 in² × (1 ft/12 in) × (1 ft/12 in)
x = 359 in² × (1 ft²/144 in²)
x = 2.5 ft²
Based on dimensional analysis and unit conversion theory we conclude that an area of 359 square inches is equivalent to an area of 2.5 square feet.
To learn more on unit conversions: brainly.com/question/11795061
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Answer:
y = 3
Step-by-step explanation:
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
y-x> 0 -----> inequality A
y> x
The solution of the inequality A is the shaded area above the dashed line y=x
x+1<0 ----> inequality B
x < -1
The solution of the inequality B is the shaded area at the left of the dashed line x=-1 (open circle)
therefore
The solution of the system of inequalities in the attached figure
