Three times ten plus seven times one plus three times one-tenth plus five times one-hundredth
Answer:
Assuming you want to simplify the expression, it can be shortened to:
-k² - 2k
Step-by-step explanation:
What you need to do here is called grouping like terms. Like terms can be described as terms that have the same factors. In this case, the factors we're looking at are k and k²:
Given:
k - 3k² -3k + 2k²
We'll rearrange to group like expressions:
= -3k² + 2k² + k -3k
Pull out common factors:
= (-3 + 2)k² + (1 - 3)k
And simplify:
= -k² - 2k
-x - y = -5
y = x + 1
-x -(x + 1) = -5
-x - x - 1 = -5
-2x = -5 + 1
-2x = -4
x = -4/-2
x = 2
y = x + 1
y = 2 + 1
y = 3
solution is : (2,3)
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
Answer:
It is a
Step-by-step explanation:
