To do this, you’ll have to utilize the formula for volume.
Volume = length•width•height
V = 12•6•4
V = 12•24
V = 288 cm^3
** Remember that volume is always cubed.
Complete Question
Let P (n) be the statement that a postage of n cents can be formed using just 4-cent stamps and 7-cent stamps. The parts of this exercise outline a strong induction proof that P (n) is true for n ≥ 18.
Show statements P (18), P (19), P (20), and P (21) are true, completing the basis step of the proof.
Answer:
P(18) is true
P(19) is true
P(20) is true
P(21) is true
Step-by-step explanation:
a. When n = 18
18 cents can be formed using two 7cents and one 4cents
i.e. 2 * 7 + 4 = 18
So, P(18) is true
b. When n = 19
19 cents can be formed using one 7cents and three 4cents
i.e. 1 * 7 + 3 * 4 = 19
So, P(19) is true
c. When n = 20
18 cents can be formed using five 4cents
i.e. 5 * 4 = 20
So, P(20) is true
d. When n = 21
18 cents can be formed using three 7cents
i.e. 3 * 7 = 21
So, P(21) is true
8) C
9) A
10) B
11) C
Hope i could help
Answer:
2144.66in³
Step-by-step explanation:
Radius = 8 inches.
To determine the amount of sphere to make the ball, we'll have to find its volume.
Volume of a sphere = 4/3 * Πr³
V = 4/3*Πr³
Π = 22/7
V = 4/3 * 22/7 * 8³
V = 2144.66inches³
V = 2144.66in³
The amount of plastic required is 2144.66in³.
Find the iqr of the data set 0, 0, 1/4, 1/2, 1/2, 5/4, 1, 1, 1, 2, 2
andrew11 [14]
Answer:
0, 0, 1, 1, 1, 2, 2
Step-by-step explanation:
25th Percentile: 0
50th Percentile: 1
75th Percentile: 2
Interquartile Range: 2