1. 3 1/5
2. 34
3.17 3/5
4.9 4/9
5.36 9/10
6.65
7.7 3/4
8.10 13/16
PEMDAS
2+3(2)^2/12
2+3(4)/12
2+12/12
2+1
Answer: 3
Mathematical proofs are important because they help to explain concepts. They also serve as concrete validation for a mathematical result or statement.
- In geometry, an incorrect conclusion within a proof might lead to wrong estimations of size, length, and other spatial properties.
- Algebra, topology, arithmetics, calculus, and statistics are some other branches of mathematics. In statistics, an incorrect conclusion within a proof might lead to the wrong interpretation of bulky data. Statistical properties like the mean, median, and mode can be misinterpreted.
- Businesses that rely on statistics for production and forecasting might be affected.
<h3>What is a Mathematical proof?</h3>
A proof in mathematics is a number of conclusions that lead to the justification of a final statement.
Having incorrect mathematical proofs can be dangerous because it will cause the misinterpretation of concepts and the obtaining of wrong results.
Learn more about mathematical proofs here:
brainly.com/question/2139749
We would have to have seen the mini lesson because that’s what it’s according too
The surface area of the sphere is:
A = 4 * pi * r ^ 2
Deriving we have:
A '= 8 * pi * r * r'
We clear the speed:
r '= A' / (8 * pi * r)
Substituting values:
r '= 24 / (8 * pi * 3)
r '= 1 / pi inch / sec
Then, the volume of the sphere is:
V = (4/3) * (pi) * (r ^ 3)
Deriving we have:
V '= (3) * (4/3) * (pi) * (r ^ 2) * (r')
Substituting values:
V '= (3) * (4/3) * (pi) * (3 ^ 2) * (1 / pi)
Rewriting:
V '= (4) * (9)
V '= 36 inch3 / sec
Answer:
the volume of the ice is changing at 36 inch3 / sec at that moment
