Answer:2/10
Step-by-step explanation:
2/10
The stalactites become 0.004 + 0.006 = 0.01 inches closer each year, and begin 10 feet apart, or 120 inches apart.
let y be the distance between them, and x be the number of years that go by:
y = -0.01x + 120
We want to find where y = 0, where they meet:
0 = -0.01x + 120 Add 0.01x to both sides
0.01x = 120 Multiply both sides by 100
x = 12,000
The stalagmite and stalactite will meet in 12,000 years
Answer:
<h3>-16</h3>
Step-by-step explanation:
PEMDAS- (Parenthesis, Exponents, Multiply, Divide, Add, and Subtract) from left to right.
BOMDAS- (Brackets, Of, Multiply, Divide, Add, and Subtract) from left to right.
(-8)2
-8*2 (First, remove parenthesis.)
-8*2=-16
-16
Therefore, the final answer is -16.
First we use product rule
y=x^2lnx
dy/dx = x^2 d/dx (lnx) + lnx d/dx (x^2)
dy/dx = x^2 (1/x) + lnx (2x)
dy/dx = x + 2xlnx
now taking second derivative:
d2y/dx2 = 1 + 2[x (1/x) + lnx (1)]
d2y/dx2 = 1 + 2[1+lnx]
1+2+2lnx
3+2lnx is the answer
Answer: 500
Step-by-step explanation:
it is closest and is under 550. if it were 551 through 599 it would be 600
