How much is 590 dimes worth?
2 answers:
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Pressure and Volume are inversely related as:
We can also write it as:
R is the constant of proportionality. Using the first row of given table, we can write:
Thus, the value of R, the universal gas constant is 8.31
We can also write it as:
R is the constant of proportionality. Using the first row of given table, we can write:
Thus, the value of R, the universal gas constant is 8.31
Answer:
8 square units and square units
Step-by-step explanation:
The area of the triangle ABC is 24 square units.
1. Triangles ABC and FBG are similar with scale factor then
2. Triangles ABC and DBE are similar with scale factor then
3. Thus, the area of the quadrilateral DFGE is
and the area of the quadrilateral ADEC is
Answer:
a). Vertex form f the function f(x) = (x - 2.5)²+3.25
b). Maximum value of the function is (-3)
Step-by-step explanation:
a). f(x) = x² - 5x + 3
we have to write this function in the vertex form.
f(x) = x² - 2(2.5)x + 3
= [(1)²x²- 2(2.5)x + (2.5)²-(2.5)²] + 3
= (x - 2.5)²- 6.25 + 3
= (x - 2.5)² - 3.25
So the vertex for of the function is
f(x) = (x - 2.5)² - 3.25
b). Given quadratic function f(x) = -x² - 6x + 6 is in the standard form of f(x) = ax² + bx + c.
By comparing the coefficients of both the functions,
a = -1, b = 6 and c = 6
Here the value of a is negative, therefore, the given parabola is opening downwards.
And the maximum will occur at
When we plug in the values,
x = 3
Now to get the value of maximum of the function we will get the value of f(3).
f(3) = -(3)²- 6(3) + 6
f(3) = 9 - 18 + 6
f(3) = -3
Therefore, maximum value of the quadratic function is (-3).