What is the solution to this equation?
1 answer:
You might be interested in
PART A:
Scientific notation is given in the form of
Where
is a value in unit and 
is an integer
<span>0.000025 is not a unit number [the number before the decimal point is of zero value]
0.000025 = 2.5 </span>÷ 100,000
100,000 can be written as 10⁵
0.000025 = 2.5 ÷ 10⁵ ⇒ to write this in form of multiplication form, we change 10⁵ to 10⁻⁵
0.000025 = 2.5 × 10⁻⁵
-------------------------------------------------------------------------------------------------------------
PART B:
<span>
The diameter of a grain of sand </span>÷<span> the diameter of the average cell in the human body
= [2</span>×10⁻⁴] ÷ [1×10⁻⁵]
= [2÷1] × [10⁻⁴×10⁻⁵]
= 2×10 ⁽⁻⁴ ⁻ ⁽⁻⁵⁾⁾ = 2 × 10¹
= 20
<span>
answer: 20 times bigger
--------------------------------------------------------------------------------------------------------------
PART C
Diameter of average cell in human body = 1 </span>× 10⁻⁵ meter
1 meter = 1 × 10⁹ nanometer
1 × 10⁻⁵ meter = [1 × 10⁻⁵] × [1 × 10⁹] = 1 × 10⁽⁻⁵⁺⁹⁾ = 1 × 10⁴ = 10000 nanometer
------------------------------------------------------------------------------------------------------------
PART D
1 meter = 1 × 10⁹ nanometer
300 nanometer = 300 ÷ [1 × 10⁹] = [3×10²] ÷ [1×10⁹] = [3÷1] × [10²÷10⁷] = 3 × 10⁻⁵
Answer: 3 × 10⁻⁵ meter
-------------------------------------------------------------------------------------------------------------
PART E
Laws of exponents that are used in scientific notation is
Scientific notation is given in the form of
Where
<span>0.000025 is not a unit number [the number before the decimal point is of zero value]
0.000025 = 2.5 </span>÷ 100,000
100,000 can be written as 10⁵
0.000025 = 2.5 ÷ 10⁵ ⇒ to write this in form of multiplication form, we change 10⁵ to 10⁻⁵
0.000025 = 2.5 × 10⁻⁵
-------------------------------------------------------------------------------------------------------------
PART B:
<span>
The diameter of a grain of sand </span>÷<span> the diameter of the average cell in the human body
= [2</span>×10⁻⁴] ÷ [1×10⁻⁵]
= [2÷1] × [10⁻⁴×10⁻⁵]
= 2×10 ⁽⁻⁴ ⁻ ⁽⁻⁵⁾⁾ = 2 × 10¹
= 20
<span>
answer: 20 times bigger
--------------------------------------------------------------------------------------------------------------
PART C
Diameter of average cell in human body = 1 </span>× 10⁻⁵ meter
1 meter = 1 × 10⁹ nanometer
1 × 10⁻⁵ meter = [1 × 10⁻⁵] × [1 × 10⁹] = 1 × 10⁽⁻⁵⁺⁹⁾ = 1 × 10⁴ = 10000 nanometer
------------------------------------------------------------------------------------------------------------
PART D
1 meter = 1 × 10⁹ nanometer
300 nanometer = 300 ÷ [1 × 10⁹] = [3×10²] ÷ [1×10⁹] = [3÷1] × [10²÷10⁷] = 3 × 10⁻⁵
Answer: 3 × 10⁻⁵ meter
-------------------------------------------------------------------------------------------------------------
PART E
Laws of exponents that are used in scientific notation is
divide it by 2 if its ok to divide if not no need to divide if there not combine to similar terms
The package weighs 30 ounces.
Step-by-step explanation:
Mailbox Plus charges;
Charges per ounce = $0.25
Let,
x be the number of ounces.
M(x)=5+0.25x
United packges charges;
Charges per ounce = $0.35
U(x) = 2+0.35x
Cost will be same when the functions are equal;
M(x) = U(x)
Dividing both sides by 0.10
The package weighs 30 ounces.
Keywords: functions, division
Learn more about division at:
#LearnwithBrainly