Answer:
x<1 x>-7
Step-by-step explanation:
|x+3|<4
We know x+3<4 and x+3>−4
x+3<4 (Condition 1)
x+3−3<4−3 (Subtract 3 from both sides)
x<1
x+3>−4 (Condition 2)
x+3−3>−4−3 (Subtract 3 from both sides)
x>−7
Answer:
x<1 and x>−7
Answer:
2.7x10^7 or 2.70000000 I think
Step-by-step explanation:
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
Now, we know that 90°< θ <180°, that simply means the angle θ is in the II quadrant, where sine is positive and cosine is negative.
Answer:
The volume is 3825 cubic units
Step-by-step explanation:
To find the volume of the fish tank multiply out the dimensions.
We were given the dimensions as:
Change the numbers to improper fractions
We cancel out to get
