Answer:
Step-by-step explanation:
<u>Volume formula will be:</u>
where V - volume, k - coefficient of proportion, r² - squared radius, h - height
<u>Substitute the known values to find the unknown:</u>
- 62.8 = k*4*5
- 62.8 = 20k
- k = 62.8/20
- k = 3.14
<u>Now find the volume of the taller can:</u>
- V = kr²h
- V = 3.14*4*9 = 113.04 ≈ 113 in³
Correct option is A
Answer:
is a subset of ![\{2,5,8\}](https://tex.z-dn.net/?f=%5C%7B2%2C5%2C8%5C%7D)
Step-by-step explanation:
Required
Difference between subset and proper subset
To answer this question, I will use the following illustration.
![A = \{1,2,3\}](https://tex.z-dn.net/?f=A%20%3D%20%5C%7B1%2C2%2C3%5C%7D)
![B = \{2,3\}](https://tex.z-dn.net/?f=B%20%3D%20%5C%7B2%2C3%5C%7D)
![C = \{1,2,3\}](https://tex.z-dn.net/?f=C%20%3D%20%5C%7B1%2C2%2C3%5C%7D)
In the above sets, set B is a proper subset of set A because all elements of B can be found in A, but not element of A can be found in B.
Set C is a subset of A because ![A = C](https://tex.z-dn.net/?f=A%20%3D%20C)
Using the above illustration, we have:
and ![\{2,5,8\}](https://tex.z-dn.net/?f=%5C%7B2%2C5%2C8%5C%7D)
is a subset of
, because 5 and 8 are in
but 2 which ca be found in
is not in ![\{5,8\}](https://tex.z-dn.net/?f=%5C%7B5%2C8%5C%7D)
9.3 × 107 would be the scientific notation
R = a2/a1 = 36/120 = 0.2
a5 = a1 * r^4 = 120 * 0.2^4 = 120 * 0.0016 = 0.192
Hope it helps!
Given that the first mass of the duck is 0.05 kg and it gains weight at a rate of 0.042 kg/week, the equation that would represent this scenario is,
y = 0.05 + 0.042x
where y is weight and x is the number of weeks. To determine the number of weeks in which the duck's mass becomes 0.890,
0.890 = 0.05 + 0.042x
The value of x from the equation is 20.