Answer: the answer is c
Step-by-step explanation:
PART A:
Scientific notation is given by A×10ⁿ where A is any number in a unit and 'n' is an integer.
0.000025 = 2.5×10⁻⁵
PART B:
Diameter of grain of sand ÷ Diameter of human body average cell
(2×10⁻⁴) ÷ (1×10⁻⁵)
(2÷1) × (10⁻⁴÷10⁻⁵)
2 × (10⁻⁴ ⁻ ⁻⁵) = 2 × 10⁽⁻⁴⁺⁵⁾ = 2 × 10¹ = 20 times bigger
PART C:
The diameter of human body's average cell in nanometer
1 × 10⁻⁵ metre = 1 × 10⁻⁵ × 10⁹ = 1 × 10⁽⁻⁵⁺⁹⁾ = 1 × 10⁴ nanometer
PART D:
Smallest bacteria = 300 nanometer
300 nm = 300 ÷ 10⁹ = (3 × 10²) ÷ 10⁹ = 3 × (10²⁻⁹) = 3 × 10⁻⁷ meter
PART E:
Laws of exponents that are applied in scientific notation is
xᵇ × xᵃ = x⁽ᵇ⁺ᵃ⁾
xᵇ ÷ xᵃ = x⁽ᵇ⁻ᵃ⁾
1) How many 3/4 does it take to make 9/2?
Now look at this, 3/4 x 6 = 4 1/2. 4 1/2 is the same as 9/2
3/4 + 3/4 + 3/4 + 3/4 + 3/4 + 3/4 ---> takes 6, 3/4's to make 9/2
2) How many 3/4's go into 9/2?
This is the same question as the 1st one so the answer is 6 :)
3) 9/2 divided by 3/4 = ??
Use the KEEP< CHANGE< FLIP method, so it turns into I
I
I
I
9/2 x 4/3 < ------------------------------------- I
This is equal to 36/6 which is 6 :)
The answer is 6 for numbers 1, 2, and 3 :)
Answer:
y = 2x² + 18x + 36
Step-by-step explanation:
Given
y = 2(x + 6)(x + 3) ← expand the factors using FOIL
y = 2(x² + 9x + 18) ← distribute parenthesis by 2
= 2x² + 18x + 36 ← in standard form
