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inn [45]
3 years ago
10

Polynomials are closed under the operation of addition. Which statement best explains the meaning of closure of polynomials unde

r the operation of addition?
When any two polynomials are added, the result is always a polynomial with positive coefficients.

When any two polynomials are added, the result is always a polynomial.

When any two polynomials are added, the coefficients of like terms are always added.

When any two polynomials are added, the result is always a monomial or a binomial.
Mathematics
1 answer:
spayn [35]3 years ago
7 0
Answer: The correct answer is the second choice: "When any two polynomials are added, the result is always a polynomial."

When a set of numbers is "closed" under an operation, it means that the resulting output answer is the same type as the input.

For example, if you add  2x + 9 and 3x + 12, you get 5x + 21.

You started with 2 polynomials and you ended with a polynomial.
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Assume the exponential growth model ​A(t)equals=Upper A 0 e Superscript ktA0ekt and a world population of 5.95.9 billion in 2006
Whitepunk [10]

Answer:

1.4% is the maximum acceptable annual rate of​ growth such that the population must stay below 24 billion during the next 100​ years.

Step-by-step explanation:

We are given the following in the question:

The exponential growth model ​is given by:

A(t) = A_0e^{kt}

where k is the growth rate, t is time in years and A_0 is constant.

The world population is 5.9 billion in 2006.

Thus, t = 0 for 2006

A_0 = 5.9\text{ billions}

We have to find the maximum acceptable annual rate of​ growth such that the population must stay below 24 billion during the next 100​ years.

Putting these values in the growth model, we have,

24 = 5.9e^{100k}\\\\k = \dfrac{1}{100}\ln \bigg(\dfrac{24}{5.9}\bigg)\\\\k = 0.01403\\k = 0.01403\times 100\% = 1.4\%

1.4% is the maximum acceptable annual rate of​ growth such that the population must stay below 24 billion during the next 100​ years.

8 0
2 years ago
Not quite sure how to work this out
Zina [86]
you have the hypotenuse and the opposite side so you will use sin
sin58= (30/q)
multiply both sides by q
q(sin58)=30
divide by sin58 in your calculatior
q=(30/sin58)
^ I don't have a calculator with me so you will need to plug that in
5 0
3 years ago
Find the coordinates of the midpoint of VW with endpoint V(-2,-6) and W(x+2,y+3)
mariarad [96]

\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ V(\stackrel{x_1}{-2}~,~\stackrel{y_1}{-6})\qquad W(\stackrel{x_2}{x+2}~,~\stackrel{y_2}{y+3}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{(x+2)-2}{2}~~,~~\cfrac{(y+3)-6}{2} \right)\implies \left( \cfrac{x}{2}~~,~~\cfrac{y-3}{2} \right)

7 0
3 years ago
Plssss helpppp ASAPP<br> will mark BRAINLIEST!!!
ra1l [238]

Answer:

4th and 5th option

Step-by-step explanation:

you can easily add eqn 1 and 2 to get rid of the y term for 4th option and get rid of x term by addition as well for the 5th option

this is a topic on simultaneous equation. If you wish to explore more into this topic you can give me a follow on Instagram (learntionary) I'll be posting the notes for this topic and some other tips :)

5 0
3 years ago
Read 2 more answers
There was a plate of cookies on the table. Amanda was hungry because she hadn't had breakfast, so she
Butoxors [25]

Answer:

10 2/3

Step-by-step explanation:

So in order to figure this out you have to work backwards. First, Daniel came and took a cookie. So when he took 1 there were 3 cookies available. Next Christine took one fourth of the cookies, meaning that the 3 available cookies are the remaining 3/4's. When she got there she took 1. Then Beth came and took 1/3. For it to be 3/3 there has to be 1 and 1/3 more cookies. Now there are 5 and 1/3 cookies. Amanda came and ate half of the cookies meaning that the amount of cookies we have now is the other half that she didnt eat. 5 and 1/3 plus 5 and 1/3 is 10 and 2/3. I hope this is correct.

7 0
3 years ago
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