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
15, 28, 41.
add the common difference to each consecutive term to find the next term in the sequence.
2+ 13= 15
15+ 13= 28
28+ 13= 41
4 because if u where to fold it
If the problem was written x + 4x. We would know to add like the coefficients together and get 5x same thing with the radicals.
Answer:
6
Step-by-step explanation:
First, simplify the exponents:
2*(3^6*3*-5)
2*((3*3*3*3*3*3)*(1/3*3*3*3*3))
2*(729*0.00411522633)
Then solve from there:
2*2.99999999457
5.99999998914
Since there is only whole numbers and a fraction present, im assuming you have to round:
5.99999998914
6
6 is your answer
Hope this helps!
