Answer:
V = 310.5 cm³
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Geometry</u>
Volume of a Prism Formula: V = lwh
- <em>l</em> is length
- <em>w</em> is width
- <em>h</em> is height
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify variables</em>
<em>l</em> = 13.8 cm
<em>w</em> = 4.5 cm
<em>h</em> = 5 cm
<u>Step 2: Solve for </u><em><u>V</u></em>
- Substitute in variables [Volume of a Prism Formula]: V = (13.8 cm)(4.5 cm)(5 cm)
- Multiply: V = (62.1 cm²)(5 cm)
- Multiply: V = 310.5 cm³
Answer:
B
Step-by-step explanation:
Answer:
The function that represents the mass of the sample after t days is 
.
The percentage rate of change per hour is of -2.46%.
Step-by-step explanation:
Exponential amount of decay:
The exponential amount of decay for an amount of a substance after t days is given by:
In which A(0) is the initial amount, and r is the decay rate, as a decimal.
Element X is a radioactive isotope such that its mass decreases by 59% every day. The experiments starts out with 390 grams of Element X.
This means, respectively, that 
So
The function that represents the mass of the sample after t days is .
Hourly rate of change:
Decreases by 59% every day, which means that for 24 hours, the rate of change is of -59%. So
-59%/24 = -2.46%
The percentage rate of change per hour is of -2.46%.
Answer:
The answer is 9.42 inches
Answer:
27, 30, 33
Step-by-step explanation:
Since Sam has fewer number of baseball cards than Jill who has 36 baseball cards and can arrange all his cards in only three ways, the possible number of baseball cards that Sam could have is 27, 30 or 33.
If he has 27 baseball cards, he can arrange 9 baseball cards per row in 3 rows
If he has 30 baseball cards, he can arrange 10 baseball cards per row in 3 rows
If he has 33 baseball cards, he can arrange 11 baseball cards per row in 3 rows
