The answer is: 45 * 10 ⁻¹¹ .
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Explanation:
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Given: (9 * 10⁻⁵) * (5 *10 ⁻⁶) ; Simplify.
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(9 * 10⁻⁵) * (5 *10⁻⁶) =
9 * 5 * 10⁻⁵ * 10⁻⁶ =
(9 * 5) * 10⁻⁵ * 10⁻⁶
45 * 10⁻⁵ * 10⁻⁶ ;
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Note the following property of exponents:
xᵃ * xᵇ = x⁽ᵃ⁺ᵇ⁾ ;
As such, 10⁻⁵ * 10⁻⁶ = 10⁽⁻⁵ ⁺ ⁻⁶) = 10 ⁻¹¹ ;
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So; 45 * 10⁻⁵ * 10⁻⁶
= 45 * 10⁻¹¹ .
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Answer:
V = πr³ + 2πr²
Step-by-step explanation:
Volume of a cylinder:
V = πr²h
with radius r and height h = 2 + r:
V = πr²(2 + r) = πr³ + 2πr²
Answer: The total number of different types of labels will the manufacturers have to produce = 24.
Step-by-step explanation:
Given: Choices for flavours = 4
Choices for sugar = 2 {either sugar or sugar free}
Choices for the qunatity = 3
By Fundamental counting principle,
Total number of different types of labels will have to produce = (Choices for flavors) x (Choices for sugar)x (Choices for the quantity )
= 4 x 2x 3
=24
Hence, the total number of different types of labels will the manufacturers have to produce = 24.
Answer:
1,58,18,400
Step-by-step explanation:
1st digit can have the values 1-9 (9 distinct values)
2nd digit can have the values 0-9 (10 distinct values)
3rd digit can have the values 0-9 (10 distinct values)
1st letter can have the value A-Z (26 distinct values)
2nd letter can have the value A-Z (26 distinct values)
3rd letter can have the value A-Z (26 distinct values)
Total number of different plates possible = 9*10*10*26*26*26
=1,58,18,400
If it were a complete circle, its circumference would be
(π) x (diameter) = (π) x (2R) = 70 π inches .
Since it's only half of the circle, the length of the curved part is
70 π / 2 = 35 π = <em>109.9 inches</em> .
