Answer:
None of those choices work.
Using 3.14 for PI.
The radius of a ball and the can is half the diameter = 1.25
The height of the can is the height of 3 diameters = 7.5
Volume of one tennis ball:
4/3 x PI x 1.25^3 = 8.18 cubic inches.
Volume of 3 tennis balls: 3 x 8.18 = 24.54 cubic inches.
Volume of can:
PI x 1.25^2 x 7.5 = 36.80 cubic inches.
Space = 36.80 - 24.54 = 12.26 cubic inches.
Answer:
45
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Step-by-step explanation:
<u>Step 1: Define</u>
3[23 + (4 - 2)³ - (6 - 2)²]
<u>Step 2: Evaluate</u>
- [Brackets] (Parenthesis) Subtract: 3[23 + 2³ - 4²]
- [Brackets] Exponents: 3[23 + 8 - 16]
- [Brackets] Add: 3[31 - 16]
- [Brackets] Subtract: 3[15]
- Multiply: 45
The solution would be like this for this specific problem:
f(x) = x^2 + sin(x) <span>
f '(x) = 2x + cos(x) </span>
The minimum value is at f
'(x) = 0,
So, let g(x) = 2x + cos(x)
Thus, g '(x) = 2 - sin(x)
x(new) = x - g(x) / g '(x) <span>
or
x(new) = x - [2x + cos(x)] / [2 - sin(x)] </span>
Calculation <span>
x1 = -0.5 - [2 * -0.5 + cos(-0.5)] / [2 - sin(-0.5)]
= -0.4506266931
x2 = -0.4501836476
x3 = -0.4501836113
x4 = -0.4501836113 </span>
This value for x, f(x) =
-0.2324655752.
<span>
After converting to 6 decimal places: the minimum point is (-0.450184,
-0.232466).</span>