<span>5.5*10^5 = 550,000 tons
</span><span>$23,000 per ton
</span>
23,000 x 550,000 = <span>$12,650,000,000 (total value)
</span>Now to convert to scientific notation.
<span>1.265 x 10^10
</span>
Hope that was useful :)
Area of the rectangle minus area of 2 circles
Area of rectangle is 8x16
Area of circle is pi•r^2 = 3.14 x 4^2= 3.14•16
Answer is:
128 - 2(3.14•16) square inches
Answer:
α² +β² = 3 4/9
Step-by-step explanation:
Assuming α and β are solutions to the equation, it can be factored as ...
(x -α)(x -β) = 0
Expanding this, we get ...
x² -(α +β)x +αβ = 0
Dividing the original equation by 3, we find ...
x² +(1/3)x -5/3 ≡ x² -(α+β)x +αβ ⇒ (α+β) = -1/3, αβ = -5/3
We know that the square (α+β)² can be expanded to ...
(α +β)² = α² +β² +2αβ
α² +β² = (α +β)² -2αβ . . . . . . subtract 2αβ
Substituting the values for (α+β) and αβ, we find the desired expression is ...
α² +β² = (-1/3)² -2(-5/3) = 1/9 +10/3 = 31/9
α² +β² = 3 4/9
so all those quadratics have their parent y = x², which has the graph of a "bowl".
and depending on the coefficient, the bowl is wider or not.
the larger the coefficient, the narrower the bowl, the smaller the coefficient, the wider the bowl.
well, 1/2 is smaller then 2, thus y = (1/2)x² is wider than y = 2x².
