Answer:
If a certain cone with a height of 9 inches has volume V = 3πx2 + 42πx + 147π, what is the cone’s radius r in terms of x?
Step-by-step explanation:
V = 3πx2 + 42πx + 147π
V=3π(x2 + 14x +49)
9.42(x2 + 14x +49)
9.42(x2 + 14x +14) -14 + 49= 0
9.42(x + 7)^2 + 35= 0
9.42(9.42(x + 7)^2 = - 35)9.42
(x + 7)^2 = - 35/9.42)
√(x + 7)^2=√- 35/9.42
x + 7 = - 1.927
x= - 1.927 - 7
x= - 8.927
V = 3π(- 8.927)^2 + 42π(- 8.927) + 147π
V=750.69 - 1177.29 + 461.58
<u>V=34.98</u>
h= 9 inches
V = 13πr2h
34.98 = 13(3.14) (r^2) (h)
34.98 = 40.82 (r^2) 9
34.98 = 367.38 r^2
34.98/ 367.38 = 367.38 r^2/ 367.38
0.095= r^2
Kris:
4.37 hours per day for 3 days.
To find the total practice time, multiply the practice time per day by the number of days.
4.37 • 3 = 13.11
This means Kris practiced for 13.11 hours.
Amelia:
6.39 hours per day for 4 days.
To find the total practice time, multiply the practice time per day by the number of days.
6.39 • 4 = 25.56
This means Amelia practiced for 25.56 hours.
To find the difference, just subtract Kris's practice time from Amelia's practice time.
25.56 - 13.11 = 12.45
This means Amelia practiced for 12.45 more hours than Kris.
To solve this problem, we should remember that the percentile rank of a single
value is the rank of that value in the series of data set when that data set is
arranged in ascending order.
Therefore arranging the data set, gives the sequence:
5581, 5700, 5700, 5896,
5972, 5993, 6075, 6274, 6283, 6381
<span>Since we are to find the
30th percentile (30 %) and there are a total of 10 values, therefore
the 30th percentile is:</span>
10 * 30% = 3
<span>This means we look for
the 3rd number in the ordered sequence.</span>
<span>
</span>
<span>Answer: 5700 is the 30th
percentile of the series</span>
Answer: what website is this? you should be able to find an answer as website questions usually get repeated
1950 2,771,305
1960 4,951,560
1970 6,789,443
1980 9,746,324
1990 12,937,926
2000 15,982,378
2010 18,801,310
Sorry I couldn't find models.
