Last week, a coral reef grew 19.5 mm taller. How much did it grow in meters?
2 answers:
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Answer:
10%
Step-by-step explanation:
- Set up a proportion:
- Cross multiply, then divide: 6 × 100 = 600, 600 ÷ 60 = 10
- 10/100 = 10%
I hope this helps!
Answer:
32/3 cm³
Step-by-step explanation:
If the diameter is 4 cm, then the radius is 2 cm.
Use the sphere volume formula:
V = 4/3r³
Plug in the radius and solve:
V = 4/3(2)³
V = 4/3(8)
V = 32/3
So, the volume of the sphere is 32/3 cm³
Ok, here we go. Pay attention. The formula for the arc length is 
. That means that to use that formula we have to find the derivative of the function and square it. Our function is y = 4x-5, so y'=4. Our formula now, filled in accordingly, is 
(that 1 is supposed to be negative; not sure if it is til I post the final answer). After the simplification we have the integral from -1 to 2 of 
. Integrating that we have 
from -1 to 2. 
gives us 
. Now we need to do the distance formula with this. But we need 2 coordinates for that. Our bounds are x=-1 and x=2. We will fill those x values in to the function and solve for y. When x = -1, y=4(-1)-5 and y = -9. So the point is (-1, -9). Doing the same with x = 2, y=4(2)-5 and y = 3. So the point is (2, 3). Use those in the distance formula accordingly: 
which simplifies to 
. The square root of 153 can be simplified into the square root of 9*17. Pulling out the perfect square of 9 as a 3 leaves us with . And there you go!