MATHEMATICS HIGH SCHOOL

Which of the following numbers is the smallest? Your answer is the letter in front of the smallest number.$\bullet$ A. $14.45001$ rounded to the nearest tenth.

$\bullet$ B. $14.54999$ rounded to the nearest tenth.

$\bullet$ C. $14.44999$ rounded to the nearest tenth.

$\bullet$ D. $14.55001$ rounded to the nearest tenth.

Answers

Answer 1
Answer: The answer to this question is C

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Solve and SHOW YOUR WORK for the equation 3(4x – 2) = 9 + 2x + 5

Answers

remember
you can do anyting to an equaiton as long as you do it to both sidess

distributive property
a(b+c)=ab+ac
commutativ property
a+b=b+a

distribute
3(4x-2)=12x-6

12x-6=9+2x+5
add 6 both sides
12x+6-6=9+6+5+2x
12x+0=20+2x
minus 2x
10x=20
divide 10
x=2
I wrote how to do it on paper and uploaded the files. Hope this helps. :D

What is the simplest form of this expression? 2y(7y^2+1)-5y

Answers

14y^3 -3y is the simplest form of the expression.

The data represent the number of phone calls received over a 70day period.Day 1 2 3 4 5 6 7
Calls Received 5 2 9 8 3 1 0

What is the mean number of phone calls received?

Answers

Are you talking about 7-day period instead? Or is that really 70? 

Anyway, the mean number of phone calls received over the period of time given would be 4 calls. I got to this answer through adding all of the calls and dividing them by the number of days. 

What is the degree of each monomial? 7m^6n^5

A. 5
B. 11
C. 6
D. 7

Answers

The answer is B. 11

If the polynomial contains more than one variable, then the degree of the monomial is equal to the sums of all their exponents. 6+5 = 11

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Final answer:

The degree of a monomial is the sum of the exponents of its variables. For the given monomial 7m^6n^5, adding the exponents gives us a degree of 11. Thus, the correct choice is B. 11.

Explanation:

The degree of a monomial is the sum of the exponents of all its variables. If we look at the monomial 7m^6n^5, we see that m is raised to the exponent 6 and n to the exponent 5. Adding these exponents together, we find that the total degree of this monomial is 11. Therefore, the correct answer is B. 11.

Learn more about Degree of a Monomial here:

brainly.com/question/34056594

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PLEASE HELP!!!What is Linear Programming ? When was it developed and Why? How was this beneficial to the time? You should write at least two paragraphs. ANYTHING LESS WILL GET A LOWER GRADE ​

Answers

Linear Programming is a method to successfully achieve the most best outcome in a mathematical model with the requirements that are represented by linear relationships. A special case of mathematical programming.
Linear Programming was developed in the 1940’s which was made to obtain the most optimal solution for a problem with given constraints. This was beneficial to the time because it was a mathematical technique that determined the best ways to use available resources. Which some used to help make the decisions about money, time, materials, and machinery.

Hope this helped you! :)

Explain why there must be at least two lines on any given plane.

Answers

The correct answer is:
there must be at least two lines on any plane because a plane is defined by 3 non-collinear points.

Explanation:
Since a plane is defined by 3 non-collinear points, we could have: a line and a point not on that line; two intersecting lines; two parallel lines; or simply 3 non-collinear points.
For 3 non-collinear points: If none of the 3 points are collinear, then we could have 3 lines, 1 going through each point. These lines may or may not intersect. If two of the 3 points are collinear, then we have a line through those 2 points as well as a line through the 3rd point.. Again, these lines may intersect, or they may be parallel.

There exists one plane through any three noncollinear points. Since the points cannot be on the same line, at least two lines would have to pass through any of the three points.
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