Yes, your answers are correct.
The volume of a cone is given by V = 1/3πr²h. Since the diameter of the first cone is 4, the radius is 2; therefore the volume is
V = 1/3π(2²)(8) = 32π/3
We divide the volume of the sink, 2000π/3, by the volume of the cone:
2000π/3 ÷ 32π/3 = 2000π/3 × 3/32π = 6000π/96π = 62.5 ≈ 63.
The diameter of the second conical cup is 8, so the radius is 4. The volume then is:
V = 1/3π(4²)(8) = 128π/3
Dividing the volume of the sink, 2000π/3, by 128π/3:
2000π/3 ÷ 128π/3 = 2000π/3 × 3/128π = 6000π/384π = 15.625 ≈ 16
Expand the brackets by multiplying everything in the brackets by 4
4x+4-2x
simplify
2x+4
Answer:
29/3
Step-by-step explanation:
Cauze 3 × 9 + 2 = 29/3
The denominater will be the same
Answer:C
Step-by-step explanation: When a table represents a nonlinear function, the rate of change is not constant. A wouldn't be the answer because the rate of change is always +10 (you would add 10 to get from -9 to 1; you would add 10 to get from 1 to 10) . It wouldn't be B because the rate of change is always -2, and the rate of change for D is always +3. For C, however, the rate of change is not constant all the way through (to get from 0 to 6, you would add 6, but to get from 6 to 16 you add 10).
Answer:
Tn = -n^2 - n + 21 is the formula for the nth term.
Step-by-step explanation:
The second differences are all equal in this quadratic sequence.
Now, the quadratic sequence has a formula of Tn = an^2 + bn + c
Find the value of a in an^2 by dividing the difference by 2:
-2/2 = -1
a = -1
Since T1 is 19 and T2 is 15 we can put that into the equation and simplify:
b + c = 20
2b + c = 19
Thus, b = -1 , c = 19 and the general formula for the nth term is Tn = -n^2 - n + 21
