The simplified expression of 2√8x³(3√10x⁴ - x√5x²) is 24x³√5x - 4x³√10x
<h3>How to determine the simplified product?</h3>
The complete question is added as an attachment
From the attached figure, the product expression is:
2√8x³(3√10x⁴ - x√5x²)
Evaluate the exponents
2√8x³(3√10x⁴ - x√5x²) = 2 *2x√2x(3x²√10 - x²√5)
Evaluate the products
2√8x³(3√10x⁴ - x√5x²) = 4x√2x(3x²√10 - x²√5)
Open the bracket
2√8x³(3√10x⁴ - x√5x²) = 12x³√20x - 4x³√10x
Evaluate the exponents
2√8x³(3√10x⁴ - x√5x²) = 24x³√5x - 4x³√10x
Hence, the simplified expression of 2√8x³(3√10x⁴ - x√5x²) is 24x³√5x - 4x³√10x
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Answer:
73,58,107,49,131
Step-by-step explanation:
m∠1=73°because alternate interior angles
m∠2= 180-49-73=58° because straight lines make 180° angles
m∠3=58+49=107° because alternate interior angles
m∠4 =49° because alternate interior angles
m∠5=180-49=131° because straight lines make 180° angles
Answer:
Step-by-step explanation:
answer is W = 7 and A = 43.
Answer:
The area is 105.5ft^2
Step-by-step explanation:
Required
The area of the composite figure
The figure can be divided to 2 shapes
(1) Rectangle: Length = 6ft and Width = 8ft
(2) Trapezoid: Height = 5ft (i.e. 8 - 3), Parallel sides = 9ft and 14ft (i.e. 20 - 6)
The area of the rectangle is:

The area of the trapezoid is:




So, the area of the garden is:


Answer:
The probability that the proportion of the core being used at any particular time will be less than 0.10 is 0.08146
Step-by-step explanation:
1/3 0.33 = 33.33 %
The Probability of that the proportion of the core being used at any particular time will be less than 0.10 is given by
PDF =
where x = 0.1
α = 2 and β = 4
PDF =
= 1.458
CDF =
= 0.08146
The probability that the proportion of the core being used at any particular time will be less than 0.10 = 0.08146.