Answer:
10⁻⁶
Step-by-step explanation:
Since the volume of saliva coughed up by my friend is 0.0100 cm³ and 10⁺⁹ of this volume contains the virus. The volume containing the virus is thus V = 0.0100 cm³ × 10⁺⁹ = 0.0100 × 10⁺⁹ cm³ = 0.0100 × 10⁺⁹ × 10⁻⁶ m³ = 0.0100 × 10⁺¹⁵ m³.
Now, since the flu virus is spherical, its volume is v = 4πr³/3 where r is its radius.
Let n flu viruses be contained in the volume V of flu viruses coughed out by my friend.
So n × v = V
v = V/n
4πr³/3 = V/n
r = ∛(3V/4πn)
substituting the value of V into the equation, we have
r = ∛(3 × 0.0100 × 10⁺¹⁵ m³/4πn)
r = (∛0.03/4πn) × 10⁻⁵ m
r = 0.1336/∛n × 10⁻⁵ m
r = 1.336/∛n × 10⁻⁶ m
Since the factor 10⁻⁶ is found in the radius, the order of magnitude of the influenza virus that have just landed on me are of the order 10⁻⁶
Answer:
<em>10*10*10</em>
Step-by-step explanation:
Given the expression 10^3
We are to write this as a series of products as as shown;
10^3 means the product of 10 in 3 places. Multiplying 10 in 3 places will give the required series of product.
10^3 = 10 * 10 * 10
<em>Hence the series of product of 10^3 is 10*10*10</em>
Answer:
Each dimension increased by 3 ft.
Step-by-step explanation:
Area of the original rectangle = 4 * 6 = 24 square feet
Increased dimension = x ft
New length = 6 + x
New width = 4 +x
New area = (6 + x)(4 +x) {Use FOIL method}
= 6*4 + 6*x + x*4 + x*x
= 24 + 6x + 4x + x²
= x² + 10x + 24
New area = 24 + 39
x² + 10x + 24 = 63
x² +10x + 24 - 63 = 0
x² + 10x - 39 = 0
x² + 13x - 3x - 3*13 = 0
x (x + 13) - 3(x + 13) = 0
(x + 13)(x -3) = 0 {Ignore x + 13, as it gives negative value}
x - 3 = 0
x = 3
Answer:
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Step-by-step explanation:
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