Answer:
1/64
Step-by-step explanation:
Note that 1³ = 1 and that 4³ = 64.
1³ 1
Thus, (1/4)³ = ------------ = -------
4³ 64
Answer:
Step-by-step explanation:
The best way to find out the answer to your question is to graph the cubic. As you can see, the y intercept is (0,16).
How was this obtained. notice that if x = 0 then
f(0) = 2(3*0+4)(0^2 + 2)
f(0) = 2(4)(2)
f(0) = 16 just as the graph tells us.
2 green spaces, 2 star spaces, 2 question mark spaces
14/99
Select 1 marble; the chance that it is white is 4/12. Select a 2nd marble; the chance that it is white is 3/11. Select a 3rd; the chance it is white is 2/10. Select a 4th; the chance it is red is 8/9. Select a 5th; the chance it is red is 7/8. The chance of getting this specific set of 5 marbles in this order is (4/12)×(3/11)×(2/10)×(8/9)×(7/8)=(2×7)/(11×10×9).
This specific set could occur in the permutation of 5 things taken 5 at a time where 3 are identical (white), and the other 2 are also identical (red). The formula for this is 5!/(3!2!)=10.
Combining the chance of getting white, white, white, red, red with the number of ways 3 white and 2 red could have been distributed in the draw of 5 marbles gives the answer:
{(2×7)/(11×10×9)}×10=14/99
A similar process will show that the chance of getting 5 red marbles is 7/99; 4 white and 1 red is 1/99; 2 white and 3 red is 42/99; and 1 white and 4 red is 35/99.
9514 1404 393
Answer:
- Slant Height = 20.1 km
- Radius = 9 km
- Lateral Area = 568.3 km²
Step-by-step explanation:
The slant height is read from the diagram as 20.1 km.
The radius is half the diameter, so is 9.0 km.
The lateral area is ...
A = πrs = π(9.0 km)(20.1 km) ≈ 568.3 km²
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Desmos uses r for a special purpose, so we have used r₁ to signify the radius of the cone. The "round" function works only to round to an integer, so special effort must be used to get rounding to 1 decimal place.
