Answer:
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✧⋄⋆⋅⋆⋄✧⋄⋆⋅⋆⋄✧⋄⋆⋅⋆⋄✧⋄⋆⋅⋆⋄✧
hope it helps...
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%19.17
(120 × 0.4) - 10 - 15 =23/120 = 19.16666667
Answer:
Step-by-step explanation:
The negative coefficient of x^2 tells you the parabola opens downward. (Any even-degree polynomial with a negative leading coefficient will open downward.)
Going through the steps for completing the square, we ...
1. Factor out the leading coefficient from the x-terms
-1(x^2 +14x) +1
2. Add the square of half the x-coefficient inside parentheses, subtract the same amount outside parentheses.
-1(x^2 +14x +49) -(-1·49) +1
3. Simplify, expressing the content of parentheses as a square.
-(x +7)^2 +50
4. Compare to the vertex form to find the vertex. For vertex (h, k), the form is
a(x -h)^2 +k
so your vertex is ...
(h, k) = (-7, 50) . . . . . . . . . a = -1 < 0, so the curve opens downward. The vertex is a maximum.
The maximum value of the expression is 50.
Answer:
V ≈ 258 ft³
Step-by-step explanation:
I given the diameter d= 7.9 ft so the radius is r = d/2 = 7.9/2 ft
Volume of a sphere is
V = (4/3) π·r³ = (4/3) · π · (7.9/2)³ = 258.1546167 ft³