Answer:
The density of oak is <u>0.695</u> grams per cubic centimeter.
Step-by-step explanation:
Given:
Oakwood has a mass of 2.85 kilograms and a volume of 4100 cubic centimeters.
Now, to find the density of oak in grams per cubic centimeter.
Mass (m) = 2.85 kilograms.
So, using conversion factor we convert into grams:
Volume (v) = 4100 cubic centimeters.
Now, to get the density by using formula:
Therefore, the density of oak is 0.695 in grams per cubic centimeter.
9514 1404 393
Answer:
y = 3.02x^3 -5.36x^2 +5.68x +8.66
Step-by-step explanation:
Your graphing calculator (or other regression tool) can solve this about as quickly as you can enter the numbers. If you have a number of regression formulas to work out, it is a good idea to become familiar with at least one tool for doing so.
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If you're trying to do this by hand, the x- and y-values give you 4 equations in the 4 unknown coefficients.
a·1^3 +b·1^2 +c·1 +d = 12
a·3^3 +b·3^2 +c·3 +d = 59
a·6^3 +b·6^2 +c·6 +d = 502
a·8^3 +b·8^2 +c·8 +d = 1257
Solving this by elimination, substitution, or matrix methods is tedious, but not impossible. Calculators and web sites can help. The solutions are a = 317/105, b = -75/14, c = 1193/210, d = 303/35. Approximations to these values are shown above.
Perfect square formula/rules:
Trinomials are often organized like .
The <em>b</em> value in this case is <em>c</em>, and it will always equal the square of half of the <em>b</em> value.
We're given:
In a trinomial, we're given the and
values. <em>a</em> in this case is 1 and <em>b</em> in this case is 4. To find the third value by dividing 4 by 2 and squaring the quotient:
Therefore, the term that we can add is + 4.
To write this as the square of a bracketed expression, we can follow the rule :
