Answer:
Step-by-step explanation:
2a. f(-3) = (-3)^2-4(-3)+6 = 9+12+6 = 27
2b. f(-2) = 3(-2)^2-(-2)^3 -2 +1 = 3(4) - (-8) -2 +1
= 12+8-1 = 19
Answer:
m=25/12
Step-by-step explanation:
multiply the reciprocal of 2/5 on both sides
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⁾
Answer:
Sorted Data Set: 2, 10, 12, 13, 14, 15, 17, 18, 18, 20, 21
Mean (Average) 14.545454545455
Median 15
Range 19
Mode 18, appeared 2 times
Geometric Mean 12.803503609558
Largest 21
Smallest 2
Sum 160
Count 11
First Quartile Q1 = 12
Second Quartile Q2 = 15
Third Quartile Q3 = 18
Interquartile Range IQR = 6
Answer:
Graph the line using the slope and y-intercept, or two points.
Slope: −1
y-intercept: (0,0)
x y
0 1
0 −1
Step-by-step explanation:
