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3 years ago

Someone plz help me out

Mathematics

1 answer:

Musya8 [376]3 years ago

8 0

Answer:

The correct answer is B) - 1/6

Step-by-step explanation:

To find the answer, simply subtract two consecutive values of f(x). Any 2 will give you the same answer.

49/6 - 25/3

49/6 - 50/6

-1/6

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A population of bees is decreasing. The population in a particular region this year is 1,250. After 1 year, it is estimated tha

8_murik_8 [283]

To model this situation, we are going to use the decay formula: $A=Pe^{rt}$
where
$A$ is the final pupolation
$P$ is the initial population
$e$ is the Euler's constant
$r$ is the decay rate
$t$ is the time in years

A. We know for our problem that the initial population is 1,250, so $P=1250$ ; we also know that after a year the population is 1000, so $A=1000$ and $t=1$ . Lets replace those values in our formula to find $r$ :
$A=Pe^{rt}$
$1000=1250e^{r}$
$e^{r}= \frac{1000}{1250}$
$e^{r}= \frac{4}{5}$
$ln(e^{r})=ln( \frac{4}{5} )$
$r=ln( \frac{4}{5} )$
$r=-02231$

Now that we have $r$ , we can write a function to model this scenario:
$A(t)=1250e^{-0.2231t}$ .

B. Here we are going to use a graphing utility to graph the function we derived in the previous point. Please check the attached image.

C.
- The function is decreasing
- The function doe snot have a x-intercept
- The function has a y-intercept at (0,1250)
- Since the function is decaying, it will have a maximum at t=0:
$A(0)=1250e^{(-0.2231)(0)$
$A_{0}=1250e^{0}$
$A_{0}=1250$
- Over the interval [0,10], the function will have a minimum at t=10:
$A(10)=1250e^{(-0.2231)(10)$
$A_{10}=134.28$

D. To find the rate of change of the function over the interval [0,10], we are going to use the formula: $m= \frac{A(0)-A(10)}{10-0}$
where
$m$ is the rate of change
$A(10)$ is the function evaluated at 10
$A(0)$ is the function evaluated at 0
We know from previous calculations that $A(10)=134.28$ and $A(0)=1250$ , so lets replace those values in our formula to find $m$ :
$m= \frac{134.28-1250}{10-0}$
$m= \frac{-1115.72}{10}$
$m=-111.572$
We can conclude that the rate of change of the function over the interval [0,10] is -111.572.

7 0

3 years ago

Can you please help me understand this question please?

GREYUIT [131]

Answer:

u just subsitute in each inequality form and so u will find the only one that is right is letter b

-4 is x

-2 is y

5 0

3 years ago

Drive Down is a racing video game. The game gives each player an initial amount of $5,000 in virtual money. After that, a player

Sholpan [36]

Independent quantity (x) is number of races won
dependent quantity f(x)...or y is total virtual money
the function is : f(x) = 500x + 5000 or y = 500x + 5000

3 0

3 years ago

Read 2 more answers

In how many ways can 4 boys and 4 girls be arranged in a row such that no two boys and no two girls are next to each other?(A) 1

nirvana33 [79]

Answer:

1152

Step-by-step explanation:

4 boys and 4 girls be arranged in a row such that no two boys and no two girls are next to each other.

Two boys and two girls are not next to each other. so one boy and one girl are next to each other in two ways.

BGBGBGBG, GBGBGBGB

4 boys are arranged in 4! ways and 4 girls are arranged in 4! ways