Answer:
9.42 cubic inches
Step-by-step explanation:
In order to find the volume for a sphere, we use the formula V = πr. For the sake of simplicity, we will be using 3.14 for π. Before we plug anything in, let's get our radius. Remember, the radius is half of the diameter.
Equation: d = 2r
Replace: 6 = 2r
Divide: 3 = r
Now that we have our radius, let's plug in what we have and solve.
Equation: V = 3.14r
Replace: V = 3.14(3)
Multiply: V = 9.42
Remember, volume is measured in cubic units, so use cubic inches for the unit here.
Answer:
34.8 liters
Step-by-step explanation:
He has 35.8 liters.
He uses 28.6 liters.
Now that tanks has 35.8 liters - 28.6 liters = 7.2 liters
The capacity of the tank is 42 liters, and he has only 7.2 liters.
The fill up will be 42 liters - 7.2 liters = 34.8 liters
It's pretty straightforward and simple:
Six more means + 6.
Twice a number means 2n.
Is 16 means = 16
Now combine these three definitions and you will receive:
6 + 2n = 16
Now solve this simple equation:
6 + 2n = 16
2n = 16 - 6
2n = 10
n = 10 / 2 = 5
So the correct answer is D.
Answer:
The original coordinate of
R is (-5, -5)
The new coordinate of
R is (-11, -11)
The translation rule is ( x - 6, y - 6)
The original coordinate of
U is (-5, 1)
The new coordinate of
U is (-5 - 6, 1 - 6)
which is
(-11, -5)
U' = (-11, -5)
Answer:
7m³ - 11m² + 5m + 17
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
3m³ - 4m² + 8 - (-4m³ + 7m² - 5m - 9)
<u>Step 2: Simplify</u>
- [Distributive Property] Distribute negative: 3m³ - 4m² + 8 + 4m³ - 7m² + 5m + 9
- Combine like terms (m³): 7m³ - 4m² + 8 - 7m² + 5m + 9
- Combine like terms (m²): 7m³ - 11m² + 8 + 5m + 9
- Combine like terms (Z): 7m³ - 11m² + 5m + 17
