Which of the following statements about a linear function is never true?

A bacteria colony increases in size at a rate of 4.0581e1.6t bacteria per hour. If the initial population is 36 bacteria, find t

Harrizon [31]

Answer:

1560

Step-by-step explanation:

The rate of Increase of the population (P) of the bacteria is given as:

$\frac{dP}{dt} =4.058e^{1.6t}$

$dP =4.058e^{1.6t}}dt\\Taking\: Integrals\\\int dP =4.058 \int e^{1.6t}dt\\P(t)=\frac{4.058}{1.6} (e^{1.6t} +K)\\P(t)=2.53625 (e^{1.6t} +K)$

Where k is a constant of Integration.

At t=0, P(t)=36

$36=2.53625 (e^{1.6*0} +K)\\36=2.53625 (e^{0} +K)\\36=2.53625 (1 +K)\\36=2.53625 +2.53625K\\K=13.19$

Therefore:

$P(t)=2.53625 (e^{1.6t} +13.19)\\At \: t=4\\P(4)=2.53625 (e^{1.6*4} +13.19)\\=1559.88\\P(4)=1560$

3 0

3 years ago

What is 1 1/4 × 4 3/4 =

Luden [163]

First, we need to turn this into an improper fraction. Therefore we have: 1 1/4 = 5/4 and 4 3/4 = 19/4
Now we multiply across and eliminate as needed.
5/4 * 19/4 = 95/16
Finally, we reduce and convert to a mixed fraction.
16 goes into 95, 5 times with a remainder of 15. Therefore, we can conclude that our answer is: 5 15/16.

4 0

3 years ago

Consider the statistical study below and then

bagirrra123 [75]

Answer:

a) The population is all people who exercise regularly; population parameters are test scores for all, categorized by whether or not each individual was given a suggestion.

b) The sample is the 98 studied; the sample statistic is the test scores for the 98 studied, categorized by whether or not each individual was given a suggestion.

c) Experiment

Step-by-step explanation:

Rewriting for the sake of clarity

<em>98 people who exercise regularly were given cognitive tests. It was discovered that those participants who were given a suggestion, their exercise habits might affect their performance on the test actually did worse on the test.</em>

a. identify the population and the population parameter of interest,

In Statistics, Population is a Set under scrutiny.

The Parameter of a Population is any descriptive measure that helps to draw the Distribution curve. So in this case, it is fair to say that:

The population is all people who exercise regularly; population parameters are test scores for all, categorized by whether or not each individual was given a suggestion.

b. describe the sample and sample statistic for the study,

The sample is any subset within the Population.

The sample statistic might be any to measure in this case, the suggestion and see if there is any correlation between them and the results in what extent, etc. to deeper analyze it.

Then:

The sample is the 98 studied; the sample statistic is the test scores for the 98 studied, categorized by whether or not each individual was given a suggestion.

c. identify the type of study.

The statistical study here is an experiment since the 98 people were undergone to cognitive tests then their results were scrutinized.

6 0

3 years ago

If an outfit consists of one shirt, one pair of jeans, and one pair of shoes, how many outfits can be made from five pairs of je

alexandr402 [8]

Answer:

2

Step-by-step explanation:

One outfit consists of one shirt, one pair of shoes, and one pair of jeans. In this problem, there are five jeans, six shirts, but only two pairs of shoes, which only makes two complete outfits.

6 0

2 years ago

Round to the nearest percent.<br><br> From 80 pencils to 152 pencils.

user100 [1]

Answer:

90% Increase

Step-by-step explanation:

80+72=152

72/80= .9

6 0

3 years ago