Answer:
I believe that Kevin is 6 years old now.
Step-by-step explanation:
I used the guess and check method to figure this out.
First, I began by making Daniel 1 years old, two years ago. Kevin was 4 times as old as Daniel two years ago, so he would be 4 at the time. Now, Daniel would be 3 and Kevin would be 6 years old. The statement that Kevin is three years older than Daniel would confirm this, because 6-3=3. Hope this helps, this is my first time answering:)
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:
y= 4/5x -18/5
Step-by-step explanation:
First step is to find the slope using the points
(-3,-6) and (2,-2)
m = (y2-y1)/(x2-x1)
= ( -2- -6)/(2 - -3)
= (-2+6)/(2+3)
= 4/5
The using the slope intercept form of a line
y = mx+b where m is the slope and b is the y intercept
y = 4/5 x + b
Substitute a point into the equation
-2 = 4/5(2)+b
-2 = 8/5 +b
Subtract 8/5 from each side
-2 -8/5 =b
-10/5 -8/5 =b
-18/5 = n
y= 4/5x -18/5
Answer:
5:2
Step-by-step explanation:
divide then both my 3 to get 5 for 15 and 2 for 6
