Answer: A cardboard box without a lid is to have a volume of 32,000 cubic cm. Find the dimensions that minimize the amount of cardboard used
. ans: base 40 x 40, height = 20
Solution:
The typical box might look like the one below
where . In addition we have xyz = 32000 ,so we need to minimize .
We have,
From the geometry of the problem so y = x. So or x = 40.
Finally, y = x = 40 and z = 32000/(xy)=20.
Answer:
x=28
Step-by-step explanation:

A representative sample implies a subset of a population that reflects the characteristics of the larger group.
<h3>What is a
representative sample?</h3>
Your information is incomplete as the options are not given. Therefore, an overview will be given.
A representative sample is the small number of people who reflect a more extensive group accurately. In this case, since Neveah chose a representative sample of 5 random days of the month, it is important for the sample to depict the entire population.
In such a case, the sample has certain qualities that the population has too.
Learn more about sample on:
brainly.com/question/17831271
Answer:
44000
Step-by-step explanation:
Let w be the initial value of Otto's internet stock, in dollars. At the beginning of the year, the total value of his portfolio is w+10,000 dollars. At the end of the year, the total value of his portfolio is 1.1w+9,000 dollars. Since increasing by 6% is equivalent to multiplying by 1.06, we have
1.06(w+10,000)=1.1w +9,000
Distributing and collecting terms, we find w=40,000. At the end of the year, his internet stock is worth 40,000* 1.1=44,000 dollars.
*credits: AoPS
Answer:
mass on day 1: 3
mass on day 2: 9
mass on day 3: 27
Step-by-step explanation:
using this equation, y = 3^x, you can plug in 1, 2, and 3 for 'x' to get the value of 'y' (which represents the mass on specific days)
3^1 = 3
3^2 = 9
3^3 = 27