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Tomtit [17]
3 years ago
13

Suppose a set of data about the spread (in hundreds of acres) of a food-borne bacteria (after t weeks) in lettuce has the follow

ing percentage rates of change: 0.9%, 1.3%, 1.1%, 1.0%, 1.3%, 1.0%; and the following average rates of change: 2.9, 2.4, 3.7, 3.1, 3.6, 3.2. Based only on the information given, and without doing any calculations, what type of model would you use? Why? (NOTE THAT the information given is not the actual data set. I have calculated the two types of rate of change for you. You should NOT BE CALCULATING ANYTHING!) Comment:What tells you that the relation is best fit by a linear model? Use principles about what kinds of functions have consistency in which types of rates of change?
Mathematics
1 answer:
Alexxandr [17]3 years ago
6 0

Answer:

A sinusoidal model would be used

The kind of function that have consistency in the periodic rate of change is the Average rate of changes

Step-by-step explanation:

The type of model that would be used is sinusoidal model and this is because there is periodic change in the values given ( i.e the rate of changes given )

For percentage rate of changes :

starting from 0.9% there is an increase to 1.3% then a decrease to 1.1% and a further decrease to 1% before an increase to 1.3% and another decrease to 1%

For Average rate of changes:

starting from 2.9 there is a decrease to 2.4, then an increase to 3.7 and another decrease to 3.1 followed by an increase to 3.6 and a decrease back to 3.2

This relation ( sinusoidal model ) is best suited for a linear model because there is a periodic rate of change in the functions

The kind of function that have consistency in the period rate of change is the Average rate of changes

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Let n be a natural number. Show that 3 | n3 −n
Vladimir [108]
Let n=1. Then n^3-n=1^3-1=0. By convention, every non-zero integer n divides 0, so 3\vert n^3-n.

Suppose this relation holds for n=k, i.e. 3\vert k^3-k. We then hope to show it must also hold for n=k+1.

You have

(k+1)^3-(k+1)=(k^3+3k^2+3k+1)-(k+1)=(k^3-k)+3(k^2+k)

We assumed that 3\vert k^3-k, and it's clear that 3\vert 3(k^2+k) because 3(k^2+k) is a multiple of 3. This means the remainder upon divides (k+1)^3-(k+1) must be 0, and therefore the relation holds for n=k+1. This proves the statement.
4 0
3 years ago
For which rational expression is 8 an excluded value ? check all that apply
denis23 [38]

<u>Answer:</u>

The correct answer options are C. \frac{x^2+5}{x-8} and D. \frac{x^2-x-56}{x^2-64}.

<u>Step-by-step explanation:</u>

The values which make the denominator equal to zero are called the excluded values.

Here, we can substitute 8 for x and check if it makes the denominator 0.

\frac{x-8}{x+8} = \frac{8-8}{8+8} =\frac{0}{16} =0

\frac{x-2}{x^2-4} = \frac{8-2}{8^2-4} =\frac{6}{60} =\frac{1}{10}

\frac{x^2+5}{x-8} = \frac{8^2+5}{8-8} =\frac{69}{0}

\frac{x^2-x-56}{x^2-64} = \frac{8^2-8-56}{8^2-64} = \frac{0}{0} =0

\frac{8x^2-2}{x^2-16} = \frac{8(8)^2-2}{8^2-16} =\frac{510}{48}

7 0
3 years ago
A substance is tested and has a ph of 7.0. how would you classify it? a. a strong acid b. a strong base c. a weak acid d. neutra
Eddi Din [679]

<u>A substance is tested and has a </u><u>Ph of 7.0</u><u>. It would be </u><u> a weak acid. </u>

<u>The correct option is </u><u>(c) a weak acid .</u>

<u></u>

What is the nature of substance if the pH is less than 7?

  • Acidity is defined as pH below 7. More than 7 pH is considered basic.
  • Each whole pH number below 7 is ten times more acidic than the next higher value since the pH scale is logarithmic.
  • For instance, pH 4 is 100 times (10 times 10) more acidic than pH 6, while pH 5 is ten times (10 times) more acidic than pH 4.

What is pH?

  • The pH scale determines how acidic or basic water is.
  • The range is 0 to 14, with 7 representing neutrality.
  • Acidity is indicated by pH values below 7, whereas baseness is shown by pH values above 7.
  • In reality, pH is a measurement of the proportion of free hydrogen and hydroxyl ions in water.

Learn more about pH

brainly.com/question/27945512

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5 0
2 years ago
When an elderly man passed away, he had left each of his 4 children 25% of his estate. If he had $72,000, how much did each chil
lbvjy [14]
Each child would receive $18,000
4 0
3 years ago
I need answer ASAP please
babymother [125]
8 x 18 = 144
Your answer is 144
6 0
3 years ago
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