9514 1404 393
Answer:
a) 600
b) see below
c) 1.26 hours
Step-by-step explanation:
a) The value of y when x=0 is the coefficient of the exponential term:
y = 600·3^(-0) = 600·1 = 600
There were 600 atoms to start.
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b) see attached for a graph
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c) The graph shows 150 atoms at t = 1.26, about 1.26 hours after the start of time counting.
If you want to find that value algebraically, substitute for y and solve for x. Logarithms are involved.
150 = 600·3^(-x)
150/600 = 3^(-x)
log(1/4) = -x·log(3)
x = -log(1/4)/log(3) = log(4)/log(3) ≈ 1.2618595
After about 1.26 hours, there were 150 atoms.
I got 41.4 lbs if you round to the nearest tenths
9.82-9.71=.11
.11x100 divided by 9.82 = 1.12%
Answer:
The volume of the cylinder is <em>approximately</em> 1570.8 cm³.
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Geometry</u>
Volume Formula [Cylinder]:
- <em>r</em> is radius
- <em>h</em> is height
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify given variables</em>.
<em>h</em> = 5 cm
<em>r</em> = 10 cm
<u>Step 2: Find Volume</u>
- [Volume Formula - Cylinder] <em>Substitute</em> in variables:
- [Order of Operations] Evaluate:
- Approximate:
∴ the volume of a cylinder whose height is 5 cm and radius is 10 cm is <em>approximately</em> 1570.8 cm³.
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Learn more about Geometry: brainly.com/question/9774838
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Topic: Geometry
