A Forrest Covers An Area Of 2400 Km^2. If Each Year The Area Decreases By 8.5%, What Will The Area Be (2024)

Mathematics College

Answers

Answer 1

Answer:

1581.62810745 square km

Step-by-step explanation:

P = Initial Area = 2500 square km.

r = rate of decreasing = 8.75%

n = number of years = 5 years

A = 2500 ( 1 - 8.75/100)^5

A = 2500 {(100–8.75)/100}^5

A = 2500 (91.25/100)^5

A = 2500 (0.9125)^5

A = 2500 * 0.63265124298

A = 1581.62810745

Related Questions

A local cinema reduced its ticket prices by 15% which means a ticket now costs £10.88. how much was a ticket before the reduction?

Answers

Right now the ticket price is 85% of the original price. So the original price would be 10.88 / 0.85 = 13.6

Subtract (4x2 - x + 6) from (3x2 + 5x - 8).

A:7x^2 + 6x - 14

B:-x^2 + 4x + 2

C:7x^2 + 4x - 2

D:-x^2 + 6x - 14

Answers

Step-by-step explanation:

[tex](4x^2-x+6)-(3x^2+5x-8)=4x^2-x+6-3x^2-5x+8[/tex]

By simplifying the right side of the equation, we come up with

[tex]x^2+6x-14[/tex], or D

A study examined the relationship between having a baccalaureate degree and passing a cultural competency exam among a group of 987 randomly selected registered nurses at your hospital. The researchers report that more registered nurses with a baccalaureate degree passed the cultural competency exam (OR 1.54, 95% CI 0.98-1.79). Interpret this information.

Answers

Answer:

More nurses with a baccalaureate degree is estimated to pass the exam but this was not a significant difference.

Step-by-step explanation:

I need help completing this problem ASAP

Answers

Answer:

D. [tex]3x\sqrt{2x}[/tex]

Step-by-step explanation:

The problem gives on the following equation:

[tex]\sqrt{32x^3}+-\sqrt{16x^3}+4\sqrt{x^3}-2\sqrt{x^3}[/tex]

Alongside the information that ([tex]x\geq0[/tex]).

One must bear in mind that the operation ([tex]\sqrt[/tex]) indicates that one has to find the number that when multiplied by itself will yield the number underneath the radical. The easiest way to find such a number is to factor the term underneath the radical. Rewrite the terms under the radical as the product of prime numbers,

[tex]\sqrt{2*2*2*2*2*x*x*x}-\sqrt{2*2*2*2*x*x*x}+4\sqrt{x*x*x}-\sqrt{2*x*x*x}[/tex]

Now remove the duplicate factors from underneath the radical,

[tex]2*2*x\sqrt{2x}-2*2*x\sqrt{x}+4x\sqrt{x}-2x\sqrt{x}[/tex]

Simplify,

[tex]4x\sqrt{2x}-4x\sqrt{x}+4x\sqrt{x}-x\sqrt{2x}[/tex]

[tex]3x\sqrt{2x}[/tex]

What is 21 1/8 minus 14 1/8

Answers

Answer:

8.75

Step-by-step explanation:

211/8 = 26.375

141/8 = 17.625

now,

211/8-141/8

26.375-17.625

8.75

Drag the numbers to the boxes to order them from least to greatest value. Please answerr quick

Answers

Answer:

Please what is the first value there?

x is the same as 1x or 1

√5 = 2.2360679775

(2)1/2 is the same as 5/2 or 2.5

√7 = 2.64575131106

√11 = 3.31662479036

3.5

least to greatest:

x < √5 < (2)1/2 < √7 < √11 < 3.5

HELP!!!!!!!! 15 POINTS

Answers

Answer:

x=5 is in the domain

Step-by-step explanation:

sqrt(x-5) ≥ 0

Square each side

(sqrt(x-5))^2 ≥ 0^2

x-5≥0

x≥5

This is the domain of x

please help me with geometry

Answers

Answer:

CAD = 25°

Step-by-step explanation:

The angles are shown to be equal in the figure so BAC = CAD.

Pippa had 35 stickers.

She gave an equal number of stickers to 8 friends.

She gave each friend as many stickers as possible and kept the rest for herself.

How many stickers did Pippa keep for herself?

Answers

Answer: 3 stickers

Step-by-step explanation:

From the question, we know that Pippa's 8 friends have an equal amount of stickers, meaning that the number of stickers that Pippa gave out is a multiple of 8.

Also, we are able to know that Pippa gave as much as she can, meaning that she gave out the stickers until the number is the maximum multiple of 8.

First Five Multiple of 8 = 8, 16, 24, 32, 40

As we can see from the list, 8, 16, and 24 are all multiples of 8, but they are not the maximum number that could fit under 35 stickers. Similarly, 40 exceeds the number of stickers Pippa has. Thus, we are left with 32.

This means, Pippa gave out 32 stickers in total, and each friend got 4 stickers.

32 / 8 = 4 stickers

Also, this means Pippa would keep 3 stickers for herself.

35 - 32 = 3 stickers

Hope this helps!! :)

Please let me know if you have any questions

A researcher conducts an ANOVA analysis and reports no differences in average certification exam test scores for nurses identified as Baby Boomers, Millennials or Generation X. You would expect to see:

Answers

Answer:

"Type II error" is the right answer.

Step-by-step explanation:

A type II mistake would be that a fake null hypothesis also isn't rejected. It's also called false negatives.It happens whenever an investigator does not eliminate a truly wrong null hypothesis. Here quite a scientist determines that wheneverit genuinely exists, that there's no substantial consequence.

Thus the above is the right answer.

Solve 3! Pleaseeee help

Answers

81, triangle angles add up to 180

Answer:

81

Step-by-step explanation:

180-41-58=81

angles in a triangle add up to 180 :)

The cost, c, for mailing books is a function of the number of books, b. The
cost to mail books is $0.50 per book plus a $3.00 flat fee

Answers

Answer:

c = 3.00 + .50b

Step-by-step explanation:

The cost is the flat fee plus the cost per book times the number of books

c = 3.00 + .50b

assuming you’re looking for the function of the cost:

c = 0.5b + 3

b (number of books) is the slope
3 (the flat fee) is the y-intercept

hope this helps!

A catering company uses different functions to estimate the itemized costs for a party. The table below represents the included tip for wait staff as a function of the number of guests served.

A table showing Catering Cost for Wait Staff Gratuity with two columns and 6 rows. The first column has, Number of Guests, and has the entries, 10, 20, 30, 40, 50. The second column, Wait Staff Tip, has the entries, $18, $36, $54, $72, $90.
If the tip varies directly with the number of guests, which equation represents the relationship between the tip, t, and the number of guests, g?

t = 1.8g
t = t equals StartFraction g Over 18 EndFraction.
g = 1.8t
g = g equals StartFraction t Over 18 EndFraction.

Answers

Answer: t = 1.8g

Step-by-step explanation:

Since we are given the information that the tip varies directly with the number of guests, then the formula to use will be:

t = kg

where,

t = wait staff tip

g = number of guests

Therefore, when the number of guests is 10 and the tip is $18, the constant of proportionality will be:

t = kg

18 = 10k

k = 18/10

k = 1.8

Therefore, t = 1.8g

Answer:

A.

Step-by-step explanation:

Choose the correct answer.

The History Activities were about​ ___ and​ ___. They were both from​ ___. One of them had a​ ___ named after him. The other had a​ ___ named after him. The work they did together on a problem they got from a​ ___ laid the foundation for probability theory.

A. ​Pascal, Decartes,​ England, graph,​ book, relative
B. ​Luniz, Kolmogrov,​ Germany, church,​ square, teacher
C. ​Fermat, Luniz,​ England, law,​ diagram, priest
D. ​Pascal, Fermat,​ France, triangle,​ theorem, gambler

Answers

Answer:

I say Its letter d

Step-by-step explanation:

I hope this help

What is the answer to it

Answers

No question?

Why not add one!

The​ half-life of a radioactive substance is 20 years. If you start with some amount of this​ substance, what fraction will remain in 180 years?

Answers

Answer:

1/512

Step-by-step explanation:

Let staring fraction = x

Half-life = 20 years ; this is the time taken for an element to decrease to half of its original size

Hence,

After 20 years - - - > x/2

After 40 years - - - - > x/2 ÷ 2 = x/2 * 1/2 = x /4

After 60 years - - - - > x/4 ÷ 2 = x/4 * 1/2 = x/8

After 80 years - - - - -> x/8 ÷ 2 = x/8 * 1/2 = x / 16

After 100 years - - - > x/16 * 1/2 = x/32

After 120 years - - - - > x/32 * 1/2 = x/64

After 140 years - - - - -> x / 64 * 1/2 = x / 128

After 160 years - - - - - > x / 128 * 1/2 = x/256

After 180 years - - - - > x/256 * 1/2 = x / 512

Hence, the fraction after 180 years = 1/512

Find the length of the side CD in the pentagon ABCDE.

A)

4√2 units

B)

12 units

C)

4 units

D)

4√10 units

Answers

Answer: A) 4√2 units

Step-by-step explanation:

Use the distance formula to find the distance(d) between Point D and Point C:

[tex]d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]

Point D = (x₁, y₁) = (4, -2)Point C = (x₂, y₂) = (8, 2)

[tex]d=\sqrt{(8-4)^{2}+(2-(-2))^{2}}=\sqrt{(4)^{2}+(4)^{2}}=\sqrt{16+16} =\sqrt{32} =4\sqrt{2}[/tex]

Suppose g(x) = f( x +2) - 3. Which statement best compares the graph of g(x) with the graph of f(x)? A. The graph of g(x) is shifted 2 units left and 3 units up. B. The graph of g(x) is shifted 2 units right and 3 units down. C. The graph of g(x) is shifted 2 units left and 3 units down. D. The graph of g(x) is shifted 2 units right and 3 units up.

Answers

Given:

The function is:

[tex]g(x)=f(x+2)-3[/tex]

To find:

The statement that best compares the graph of g(x) with the graph of f(x).

Solution:

The transformation is defined as

[tex]g(x)=f(x+a)+b[/tex] .... (i)

Where, a is horizontal shift and b is vertical shift.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

We have,

[tex]g(x)=f(x+2)-3[/tex] ...(ii)

On comparing (i) and (ii), we get

[tex]a=2[/tex]

[tex]b=-3[/tex]

Therefore, the graph of g(x) is shifted 2 units left and 3 units down.

Hence, the correct option is C.

A certain standardized test measures students’ knowledge in English and math. The English and math scores for 10 randomly selected students are given in the table.Using technology, what is the correlation coefficient?

0.68
0.83
0.91
0.95

Answers

Answer:

The answer is C

.91

ED2021

help it will really hep with summer school.

Answers

Answer:

10 + 5 + 6 × 5 - 2 × 4

Step-by-step explanation:

Do MDAS:10 + 5 + 6 × 5 - 2 × 4=10 + 5 + 30 - 2 × 4= 10 + 5 + 30 - 8= 15 + 30 - 8= 45 - 8= 37

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Write a rule to describe the transformation.
A. reflection across y=x
B. rotation 90º clockwise about the origin
C. rotation 180º about the origin
D. rotation 90º counterclockwise about the origin

Answers

Answer:

C. rotation 180º about the origin

Step-by-step explanation:

Given

Quadrilaterals GWVY and G'W'V'Y'

Required

Describe the transformation rule

Pick points Y and Y'

[tex]Y = (5,-4)[/tex]

[tex]Y' = (-5,4)[/tex]

The above obeys the following rule:

[tex](x,y) \to (-x,-y)[/tex]

When a point is rotated by 180 degrees, the rule is:

[tex](x,y) \to (-x,-y)[/tex]

Hence, (c) is correct

helppp outt plss....​

Answers

Answers: x = 30 and y = 150

============================================================

Explanation:

For any cyclic quadrilateral (aka inscribed quadrilateral), the opposite angles are always supplementary.

One pair of such angles is A and C

A+C = 180

x+y = 180 is one equation to form

The other pair of supplementary angles is B and D

B+D = 180

y-45+2x+15 = 180

2x+y-30 = 180

2x+y = 180+30

2x+y = 210 is the other equation to form

--------------

So the system of equations we have is

[tex]\begin{cases}x+y = 180\\2x+y = 210\end{cases}[/tex]

Both equations involve 'y', with the same coefficient, so we can subtract straight down to eliminate this variable.

The x terms subtract to x-2x = -xThe y terms subtract to y-y = 0y = 0, so the y terms go awayThe right hand sides subtract to 180-210 = -30

We end up with -x = -30 which solves to x = 30

--------------

Once we know x, we can determine y by plugging it into any equation involving x,y and solving for y

Let's say we picked on the first equation

x+y = 180

30+y = 180

y = 180-30

y = 150

Or we could pick on the second equation

2x+y = 210

2(30) + y = 210

60+y = 210

y = 210-60

y = 150

Only one equation is needed. However, doing both like this shows that we get the same y value, and it helps confirm the answers.

Find the equation of the line through point (-4,1) and parallel to y= -1/2x-2.

Answers

Answer:

[tex]y = -\frac{1}{2}x - 1[/tex]

Step-by-step explanation:

In order for two lines to be parallel they must have the same slope. In other words the m constant in the line equation needs to match

[tex]y = mx + b[/tex]

This means for the equation we're trying to find, we already know m. It's just -1/2 since that's the slope of the line it needs to be parallel to.

Next, let's find the constant b. We know the slope, and we know it goes through points (-4, 1), so let's plug this into our equation

[tex]y = -\frac{1}{2}x + b\\1 = - \frac{1}{2}\times{-4} + b\\1 = 2 + b\\b = -1[/tex]

Now that we have both constants, we know the equation of the line.

[tex]y = -\frac{1}{2}x - 1[/tex]

To convince yourself this is correct, let's plot these two lines.

What is the length of the arc of a circle of diameter 8 meters subtended by a central angle of
3pi/4 radians?

Answers

Answer:

9.42 meters

Step-by-step explanation:

diameter = 8 m

radius = 4 m

Length of arc = radius * central angle in radians

= 4 * 3[tex]\pi[/tex] / 4

= 12[tex]\pi[/tex] / 4

= 3[tex]\pi[/tex]

= 66 / 7

= 9.42 m

The length of the arc of a circle of diameter 8 meters subtended by a central angle of 3pi/4 radians is 9.42 meters.

What is the arc of the circle?

The arc period of a circle can be calculated with the radius and relevant perspective using the arc period method.

expalination:

⇒angle= arc/radius

= 3pi/4 radians

diameter = 8 m

radius = 4 m

Length of arc = radius * central angle in radians

⇒4 * 3 / 4

⇒12 / 4 = 3

⇒66 / 7

⇒9.42 m

Hence the arc of a circle is 9.42 m.

Learn more about arc of a circle here:-https://brainly.com/question/2005046

#SPJ2

U (24 win Q7 A gardener needs to order fertiliser for a piece of land. The piece of land is a square with sides measuring 8 metres. This formula shows how many grams of fertiliser she needs. grams of fertiliser needed = length in metres x width in metres x 25 The supplier sells these bags of fertiliser. 10K 5kg 2kg 1kg 1 kilogram 2 kilograms 5 kilograms 10 kilograms Which bag of fertiliser should the gardener order? Include figures to explain your answer. Show all your working.​

Answers

Answer:

first: there is a problem in the question in de mentioned quantity u mentioned 10k instead of (10kg).

Step-by-step explanation:

add all your 1uantity afteru divide by 8

Answer:

one fertilizer bag from weight of two kilograms

Step-by-step explanation:

Grams of fertilizer needed = Length in meters * Width in meters * 25

= 8 * 8 * 25

= 1600 grams

Kilograms of fertilizer needed = 1600 / 1000

= 1.6 kilograms

Therefore, gardener can order 1 fertilizer bag with weight of 2kilpgrams.

Find the radius of the circle containing 18
degree arc of a circle whose length is 15 Pi meters

Answers

9514 1404 393

Answer:

150 m

Step-by-step explanation:

The relationship between arc length (s), radius (r), and central angle (θ) is ...

s = rθ

Dividing by θ gives the formula for r:

r = s/θ = (15π m)/(18°(π/180°))

r = 150 m . . . . the radius of the circle

5x-22 3x +105 x minus 22 3 X + 10 ​

Answers

-291x+10

:)))))) Have fun

PLEASE HELP, IGNORE ALL ANWSERS FILLED IN CURRENTLY I WILL GOVE BRAINLIST

Answers

Answer:

15.924 feets

Step-by-step explanation:

The height I'd the flagpole can be obtained using trigonometry ;

Solution triangle has been attached below,

The height, h of flagpole

Tan θ = opposite / Adjacent = h / 12

Tan 53 = h / 12

h = 12 * tan 53

h = 15.924

Which of the following fractions is closest to 0? 5/12 , 2/3, 5/6,3/4

Answers

Answer:

5/12

Step-by-step explanation:

5/12 , 2/3, 5/6,3/4

Get a common denominator of 12

5/12, 2/3 *4/4, 5/6*2/2, 3/4 *3/3

5/12, 8/12, 10/12, 9/12

The numerator closest to 0 is the fraction closest to 0

5/12

14% of all Americans live in poverty. If 35 Americans are randomly selected, find the probability that

a. Exactly 3 of them live in poverty.

b. At most 7 of them live in poverty.

c. At least 4 of them live in poverty.

d. Between 1 and 8 (including 1 and 8) of them live in poverty.

Answers

At least 4 of them will live in poverty

A Forrest Covers An Area Of 2400 Km^2. If Each Year The Area Decreases By 8.5%, What Will The Area Be (2024)
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