MATHEMATICS HIGH SCHOOL

Alyssa is an ecologist who studies the change in the fox population of the Arctic circle over time. She observed that the population loses \dfrac{1}{18} 18 1 start fraction, 1, divided by, 18, end fraction of its size every 222 months. The population of foxes can be modeled by a function, PPP, which depends on the amount of time, ttt (in months). When Alyssa began the study, she observed that there were 185{,}000185,000185, comma, 000 foxes in the Arctic circle. Write a function that models the population of the foxes ttt months since the beginning of Alyssa's study.

Answers

Answer 1

Answer:

Answer:

P(t)=185,000⋅(1718)^t2

Step-by-step explanation:

Answer 2

Answer:

Final answer:

To model the population of foxes t months since the beginning of Alyssa's study, we can use the equation P(t) = P(0) - (1/18t), where P(0) is the initial population of 185,000 foxes.

Explanation:

To write a function that models the population of foxes t months since the beginning of Alyssa's study, we need to determine the rate at which the population decreases over time. Given that the population loses 1/18 of its size every 22 months, we can use this information to develop an equation. Let P(t) represent the population of foxes at time t, and let P(0) be the initial population of 185,000 foxes.

Since the population loses 1/18 of its size every 22 months, the rate of decrease can be calculated as 1/18 per 22 months. This can be written as -1/18 per month or -1/18t per month. Hence, the equation that models the population is P(t) = P(0) - (1/18t).

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Express the decimal 2.39 as a percent

Answers

To express a decimal number as a percent transform the number to the equivalent fraction with 100 as denominator. The mathematical methodstep by step is: (1) place the decimal number as a fraction withdenominator 1, (2) multiply numerator and denominator times 100, 3)simplify to the minimum denominator, 4) the numerator is the numberexpressed as percent In this case,2.39 = 2.39/1 = (2.39*100) / (1*100)= 239/100 which means that 2.39 is equal to 239%

The decimal expression $2.39$ as a percentage is $\boxed{239\% }.$

Further Explanation:

After decimal the first place is the tenth place, the second place is the hundredth and the third place is the thousandth.

The first digit from the right is the ones place, the second digit from the right is the tens place, the third digit from the right is the hundreds place, the fourth digit from the right is the thousands.

Given:

The decimal expression is $2.39$

Explanation:

The given decimal expression is $2.39.$

The decimal expression can also be expressed as follows,

$\begin{aligned}A&= 2.39\n&= 2 + 0.39\n&= 2 + \frac{{39}}{{100}}\n\end{gathered}$

1 can be expressed in percentage as $100\%$ .

2 can be expressed in percentage as $200\%$ .

$0.39$ can be expressed as a percentage as $39\%.$

The decimal expression as a percentage can be expressed as follows,

$\begin{aligned}A&= 200\% + 39\% \n&= 239\%\n\end{aligned}$

The decimal expression $2.39$ as a percentage is $\boxed{239\% }.$

Learn more:

Learn more about inverse of the functionbrainly.com/question/1632445.
Learn more about equation of circle brainly.com/question/1506955.
Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Decimal and Percentage

Keywords: decimal, expression, 2.39, percent, place value, base value, decimal expression, as a percentage, percentage.

The volume of a triangular prism with base dimensions of 4 cm height and 10 cm base and a prism height of 15 cm is??

Answers

I think you can do this way:
Volume = B*h where B is the area of the base.
B= 4 * 10 = 40
V= 40 * 15
V= 600 cm^3

So,

Your question has already provided the necessary information for us to be able to compute the volume. To find the volume of the triangular prism, you just need to multiply the area of the base (a triangle) by the height (15).

We already know how to find the area of a triangle.

$(1)/(2) (10)(4)$

5(4)

20 cm²

Now, multiply that by the height of the prism.

20 * 15 = 300 cm³

The volume of the triangular prism is 300 cm³.

A=1300e^(.043*5)=$1611.82

Where do they get the value for e? (2.718281828459)

Answers

e is Euler's number, a mathematical constant.

Help pls and thank u

Answers

Answer:

V =12.167 cm^3

Step-by-step explanation:

V = s^3 is the volume of a cube where s is the side length

The side length of the cube is 2.3 cm

V = ( 2.3 cm) ^3

V =12.167 cm^3

Hey there!

The FORMULA:

V = s^3

Your EQUATION:

v = 2.3^3

SOLVING for the EQUATION

v = 2.3^3

2.3^3 = v

(2.3 cm)^3

≈ 2.3 cm * 2.3 cm * 2.3 cm

≈ 5.29 cm * 2.3 cm

≈ 12.167 cm^3

v ≈ 12.167 cm^3

Therefore, your answer is: 12.167 cm^3

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

An airplane is carrying 150 passengers. This is 3/4 of its capacity. What is the capacity of the airplane?

Answers

150 / 3= 50 50 x 4= 200The answer is 200

How do u do this ??? Alistair buys an antique chair for £600. It is expected to increase in value at the rate of 4.5% each year. How much is it expected to be worth in 3 years ??

Answers

$100\%+4.5\%=104.5\%=1.045\n\n\£600\cdot1.045^3\approx\£684.70\leftarrow answer$

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