Answer:
8πcm²/sec
Step-by-step explanation:
The radius of the circle increases at a rate of dr/dt = 0.25cm/sec
The radius of the circle r = 16cm
The area of the circle increases at a rate of dA/dt = ?
Area of a circle = πr²
We take the derivative with respect to t
dA/dt = 2πrdr/dt
dA/dt = 2 π (16)(0.25)
dA/dt = 8πcm²/sec
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14. -0.44
15. 26.488
16. -3.33333333333
17. <span>-5.14285714286
18. -0.12
19. Eleven 2.25 pound containers</span>
20. (a)19 (b)7.6
21.Its less than.The reason is because different seasons have different rainfall amounts.
Answer:
(3, - 3 )
Step-by-step explanation:
Given the 2 equations
3x - 5y = 24 → (1)
- 3x - 6y = 9 → (2)
Adding the 2 equations term by term will eliminate the x- term, that is
- 11y = 33 ( divide both sides by - 11 )
y = - 3
Substitute y = - 3 into either of the 2 equations and solve for x
Substituting into (1)
3x - 5(- 3) = 24
3x + 15 = 24 ( subtract 15 from both sides )
3x = 9 ( divide both sides by 3 )
x = 3
solution is (3, - 3 )
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