Answer:
25.133 units
Step-by-step explanation:
Since the density ρ = r, our mass is
m = ∫∫∫r³sinθdΦdrdθ. We integrate from θ = 0 to π (since it is a hemisphere), Φ = 0 to 2π and r = 0 to 2 and the maximum values of r = 2 in those directions. So
m =∫∫[∫r³sinθdΦ]drdθ
m = ∫[∫2πr³sinθdθ]dr ∫dФ = 2π
m = ∫2πr³∫sinθdθ]dr
m = 2π∫r³dr ∫sinθdθ = 1
m = 2π × 4 ∫r³dr = 4
m = 8π units
m = 25.133 units
Y-3=3(x-2)
y-3=3x-6 :-x=0
y-3=0-6
y=-6+3
y=-3
There are 19 people total, and groups of four are being asked of us. We can use the formula for permutations or combinations.
Permutations:

Combinations:

Where in both scenarios, there are <em>n</em> objects being chosen at <em>r</em> times.
19 P 4 is 93024
19 C 4 is 3876
It all depends on whether order matters with group placement; if it does, your answer is
93024, if not, then your answer is
3876.:)
75 ounces.
start by taking 1376.44-1235.55 to give a profit of 140.89 per ounce.
Then take 10566.75/140.89 to get 75 total ounces.
Complementary is when the two angles add up to 90 degrees.
Supplementary is when the two angles add up to 180 degrees.
To find a complementary angle do 90 minus the given angle.
To find a supplementary angle do 180 minus the given angle.