The simplest form of the given algebraic expression √(250c³/9d⁶) is; 5c * (√10c)]/3d³
<h3>How to simplify algebra problems?</h3>
We are given the algebra problems as;
√(250c³/9d⁶)
Now 250c³ can be broken down into 250 = 25c² × 10c
Thus, we now have;
√(250c³/9d⁶) = [√(25c²) * (√10c)]/√9d⁶
When we breakdown the above expression, we have;
5c * (√10c)]/3d³
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Answer:
T
Step-by-step explanation:
(x-10)^2=(x-10)(x-10)=(x^2-10x-10x+100)=x^2-20x+100
Answer:
1. 16
2. 0
Step-by-step explanation:
order of operations
anything divded by zero is zero
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.
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