Answer:
Distance of Sun and Mercury = 58,000,000 km.
In Scientific notation, it would be: 5.8 × 10⁷ Km
Diameter of a human hair = 0.0025 cm
In scientific notation, it would be: 2.5 × 10⁻³ cm
Before Comparison, we need to bring to or vice-versa, so we can easily calculate then, here, we will go from cm to Km.
2.5 × 10⁻³ × 10⁻⁵ Km = 2.5 × 10⁻⁸
Now, we can compare the values,
5.8 × 10⁷ Km > 2.5 × 10⁻⁸
[ reason. - power of smaller number is in negative, it means, it is denominator, which would be very small as compared to other ]
Answer:
is the required equation.
The Per sq ft of sheet costs $ 27.31.
Step-by-step explanation:
The total amount of sheet purchased = 8.8 sq. ft
The amount of sheet used = 2. 1 sq ft.
The worth of remaining sheet = $183
Let us assume the cost per sq ft of sheet = $x
Now, the remaining sheet =
Amount of total sheet purchased- Amount of sheet used
= 8.8 sq. ft - 2. 1 sq ft. = 6. 7 sq. ft
So, the worth of the remaining sheet 6.7 sq ft is $183.
⇒ Worth of 1 sq ft of sheet = $183 /6.7 sq ft
or, 
or x = $27.31
Hence, the Per sq ft of sheet costs $ 27.31.
Answer:
Step-by-step explanation:
What we have is a general equation that says this in words:
Laura's hours + Doug's hours = 250 total hours
Since we don't know either person's number of hours, AND since we can only have 1 unknown in a single equation, we need to write Laura's hours in terms of Doug's, or Doug's hours in terms of Laura's. We are told that Doug spent Laura's hours plus another 40 in the lab, so let's call Laura's hours "x". That makes Doug's hours "x + 40". Now we can write our general equation in terms of x:
x + x + 40 = 250 and
2x = 210 so
x = 105
Since Laura is x, she worked 105 hours in the lab and Doug worked 40 hours beyond what Laura worked. Doug worked 145. As long as those 2 numbers add up to 250, we did the job correctly. 105 + 145 = 250? I believe it does!!
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⁾
