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Elina [12.6K]
2 years ago
6

At the beginning of an environmental study, a forest covered an area of 1500 km². Since then, this area has decreased by 5.8% ea

ch year.
Lett be the number of years since the start of the study. Let y be the area that the forest covers in km?.
Write an exponential function showing the relationship between y and t.
Mathematics
1 answer:
Oliga [24]2 years ago
7 0

Area covered by the forest in the beginning = 1500km²

Decrease in area each year = 5.8% = 5.8/100 × 1500 = 87km²

Decrease in the area of the forest in <em>t</em> years = 87t

Area of forest now = y

y = 1500 - 87t

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Answer: 9x^2 +6

Step-by-step explanation:

f(3x)=(3x)^2 +6=9x^2 +6

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2 years ago
Marie has 8 hours to write a 45-page chapter
Anastasy [175]

Marie  will NOT complete the chapter in time

Step-by-step explanation:

If Marie writes at a constant speed of 4 pages per hour, to write a 45-page chapter she will take;

45/4 = 11.25

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11 ¼ hours > 8 hours

Therefore Marie  will NOT complete the chapter in time

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3 years ago
Alg I Sem 2 Final Comp South Panola MS 2021-2022
weeeeeb [17]

The number of viewers for television show 1 and show 2 is given as f = 14.7(0.94)ˣ and g = 15.2(1.03)ˣ

<h3>What is an exponential function?</h3>

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y = abˣ

Where a is the initial value of y and b is the multiplication factor.

Let f and g representing the approximate number of viewers, in millions,  x weeks after the tracking begins.

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7 0
2 years ago
<img src="https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7Ba%2Bb%7D%20%7D%7B%5Csqrt%7Ba-b%7D%20%7D%20%2B%5Cfrac%7B%5Csqrt%7Ba-b%7D%20
andrezito [222]

Answer:

\frac{(a+b)}{a^{2} -b^{2}  } + \frac{(a-b)}{a^{2} -b^{2}  } = \frac{2a}{a^{2} -b^{2}  }

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
A city police officer using radar checked the speed of 26 cars as they were travelling down a city street and the data is given
pychu [463]

Answer: The distribution of the data set is positively skewed.

<u>Explanation: </u>

In order to see whether the given data set is symmetric, positively skewed or negatively skewed, we will find the mean, median and mode of the given data set.

For symmetric distribution, Mean = Median=Mode

For positively skewed distribution, Mean > Median>Mode

For negatively skewed distribution, Mean < Median

The mean of the given data set is given below:

Mean = \frac{27+23+22+38+43+24+25+23+22+54+31+30+29+48+27+25+29+28+26+33+25+21+23+34+20+23}{26}

                =\frac{753}{26}

                =28.96

Now, the Median is:

To find the median we need to sort the data in ascending order as:

20,21,22,22,23,23,23,23,24,25,25,25,26,27,27,28,29,29,30,31,33,34,38,43,48,54

Median=\left(\frac{N+1}{2} \right)^{th} item

                   =\left(\frac{26+1}{2}\right)^{th} item

                   =13.5^{th} item

                   =26+0.5 \times (27-26)

                   =26.5

\therefore Median = 26.5

The mode is the most frequently occurring observation. Therefore the mode is:

Mode=23

Since the Mean >Median>Mode, therefore the distribution of the given data set is positively skewed.


5 0
3 years ago
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