We have that
[Volume of the pencil]=[Volume of <span>cylinder]+[volume of cone]
</span>[Volume of cylinder]=pi*(0.5²)*15=11.78 cm³
[volume of cone]=pi*(0.5²)*2/3=0.52 cm³
[Volume of the pencil]=[11.78]+[0.52]=12.30 cm³
the answer is 12.30 cm³
I'm pretty sure you would need to multiply 2/5 by 40.
So, if you multiply 2/5 by 40, you need to turn 40 into a fraction with 1 being the denominator.
2/5 x 40/1 = 80/5
Since the product is an improper fraction, you would simplify it to a whole number.
80/5 = 16.
He can expect to hit it 16 times to get a hole in one.
I hope I am right and have a great day.
Answer: -5100
<u>Step-by-step explanation:</u>
![\sum^4_1[100(-4)^{n-1}]\qquad \rightarrow \qquad a_1=100\ \text{and r = -4}\\\\\\S_n=\dfrac{a_1(1-r^n)}{1-r}\\\\\\\\S_4=\dfrac{100(1-(-4)^4)}{1-(-4)}\\\\\\.\quad=\dfrac{100(1-256)}{1+4}\\\\\\.\quad=\dfrac{100(-255)}{5}\\\\.\quad=20(-255)\\\\.\quad=-5100\\](https://tex.z-dn.net/?f=%5Csum%5E4_1%5B100%28-4%29%5E%7Bn-1%7D%5D%5Cqquad%20%5Crightarrow%20%5Cqquad%20a_1%3D100%5C%20%5Ctext%7Band%20r%20%3D%20-4%7D%5C%5C%5C%5C%5C%5CS_n%3D%5Cdfrac%7Ba_1%281-r%5En%29%7D%7B1-r%7D%5C%5C%5C%5C%5C%5C%5C%5CS_4%3D%5Cdfrac%7B100%281-%28-4%29%5E4%29%7D%7B1-%28-4%29%7D%5C%5C%5C%5C%5C%5C.%5Cquad%3D%5Cdfrac%7B100%281-256%29%7D%7B1%2B4%7D%5C%5C%5C%5C%5C%5C.%5Cquad%3D%5Cdfrac%7B100%28-255%29%7D%7B5%7D%5C%5C%5C%5C.%5Cquad%3D20%28-255%29%5C%5C%5C%5C.%5Cquad%3D-5100%5C%5C)
<span>1) There are no solutions for this equation in the solution set.
2) The solution set is {5} because 15/5 = 3
3) The solution set is {8} because
4) The solution set is {20} because 20 - 13 = 7
5) The solution set is {66} because 22 x 3 = 66
6)
7)
8)
</span>

9)

10)

<span>
11) The solution set is {6, 7} because:
6 -2 < 6, which is 4 < 6
AND
7 - 2 < 6, which is 5 < 6
12) </span><span>The solution set is {9, 11} because:
</span>
3 ≥ 25/9, which is 3 ≥ <span>2.77777777778
</span>AND
3 ≥ 25/11, which is 3 ≥ 2.2727272727
Hope this helps :D