Scientific notation has 1 number to the left of the decimal and is multiplied by 10 raised to the number of spaces the decimal is moved.
A) 5.9 x 10 ^ 9
B) 4 x 10 ^ -2
C) 1 km = 100,000 cm
4x 10^-2 x 100,000 = 4000 fireflies per km = 4 x 10 ^3 fireflies per km
5.9x 10^9 x 4x 10 ^3 = 2.4 X 10^13
Divisors of 64;
1, 2, 4, 8, 16, 32, 64
So,
In order to find numbers that are in between 3/8 and 6/7, Lucy must make common denominators first.
LCM of 8 and 7: 56
Multiply each fraction by the appropriate form of 1:


We can immediately see that any fraction with a numerator between 21 and 48 and a denominator of 56 will fit into the criteria Lucy needs.
The correct option is B.
Answer:
Hydrostatic Force = 35.28KN
Step-by-step explanation:
To solve this question, let's consider integrating the hydrostatic force from the top of the triangle to the bottom.
Formula for a thin horizontal slice of the triangle the force is;
δF=ρgxwδx
Where w is width of triangle; ρ is density of water and g is acceleration due to gravity
At depth x, the width of the triangle is w=2/3x.
Thus, F = (3,0)∫)ρgxwδx
=(2/3)ρg[(3,0)∫)x²δx]
= integrating, we have;
F = (2/3)ρg[(3³/3) - (0³/3)]
F = (2/5)ρg [27/3] = (2/5)(1000)(9.8)(9) = 35280 N = 35.28 KN
Answer:
769 cubic ft
Step-by-step explanation:
Its volume:
Find the volume of a cylinder of radius 7 ft and length 5 ft:
The basic formula for his volume is V = πr²h. In this case, the volume is:
V = 3.14(7 ft)²(5 ft) = 769 cubic feet of water.