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2 years ago

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A population of sea turtles decreases by 25% per year. The population size is currently 1,024. Which expression calculates the p

opulation x years From now?

1 answer:

Stels [109]2 years ago

4 0

The expression calculates the population x years from now will be given as y = 1024 (0.75)ˣ.

<h3>What is an exponent?</h3>

Consider the function:

y = a (1 ± r) ˣ

Where x is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.

If there is a plus sign, then there is exponential growth happening by r fraction or 100r %

If there is a minus sign, then there is exponential decay happening by r fraction or 100r %

The population of sea turtles decreases by 25% per year. The population size is currently 1,024.

Let y be the population of sea turtles and x be the number of years.

Then we have

y = 1024 (1 - 0.25) ˣ

y = 1024 (0.75) ˣ

More about the exponent link is given below.

brainly.com/question/5497425

#SPJ1

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12+24/(10-4)*(9-7)-17

Andrews [41]

Answer:

3

Step-by-step explanation:

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3 years ago

2. Find the lateral area of the pyramid to the nearest whole number.

Paladinen [302]

Answer:

What is the height of each triangle side?

Step-by-step explanation:

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3 years ago

If a > b > c > d, then which is larger, a+c or b+d ? Can we tell from a > b > c > d which of a+d and b+c is la

victus00 [196]

Answer:

1. a+c is larger than b+d

2. No way to tell whether a+d or b+c is larger.

Step-by-step explanation:

<u>1. Which is larger, a+c or b+d?</u>

Let a, b, c, and d be any numbers such that $a > b > c > d$ .

Specifically, note that $a > b$ , and subtracting b from both sides of the inequality, observe that $a-b > 0$ .

Similarly, $c > d$ , and subtracting d from both sides of the inequality, observe that $c-d > 0$ .

From this, <u>add "a-b"</u> (a positive number, as proven above) to both sides of the inequality.

$(a-b)+(c-d) > (a-b)+0$

Addition by zero (<u>the additive identity</u>) doesn't change anything, so the right side remains "a-b"...

$(a-b)+(c-d) > a-b$

... and <u>"a-b" is positive</u>...

$(a-b)+(c-d) > a-b > 0$

... so, by the <u>transitive property</u> of inequality...

$(a-b)+(c-d) > 0$

Recall that <u>subtraction is addition by a negative</u> number...
$a+(-b)+c+(-d) > 0$

...and that <u>addition is associative and commutative</u>, so things can be added in any order, so the middle two terms on the left side can be rearranged...

$a+c+(-b)+(-d) > 0$

<u>Adding b + d</u> to both sides of the inequality

$(a+c+(-b)+(-d))+(b+d) > 0+(b+d)$

... and <u>simplifying</u>

$a+c > b+d$

So, a+c is larger than b+d.

<u>2. Which is larger, a+d or b+c?</u>

Consider the following two examples:

<u>Example 1</u>

Suppose a=10; b=3; c=2; d=1.

Note that $a > b > c > d$ ( $10 > 3 > 2 > 1$ ) and, also observe that $a+d=(10)+(1)=11$ , and $b+c=(3)+(2)=5$ , so a+d is larger than b+c.

<u>Example 2</u>

However, suppose a=10; b=9; c=8; d=1.

Note that $a > b > c > d$ ( $10 > 9 > 8 > 1$ ) but that $a+d=(10)+(1)=11$ , and $b+c=(9)+(8)=17$ , so a+d is smaller than b+c.

So, in one example, a+d is bigger, and in the other, a+d is smaller. Therefore, there is no way to tell which of a+d or b+c is larger from only the given information.

5 0

2 years ago

A ball Is dropped from a height of 100'. The height of the ball can be determined using the equation h = -16t^2+ 100, Where H is

katen-ka-za [31]

Answer:

<h3>2.5secs</h3>

Step-by-step explanation:

Given the height of the ball modeled by the equation h = -16t^2+ 100, where

h is the height

t is in seconds

We can find the time taken by the ball to reach the ground.

The ball reaches the ground when the height h = 0

Substitute h = 0 into the equation and find t;

0 = -16t^2+ 100

16t^2 = 100

t^2 = 100/16

t = √100/16

t = 10/4

t = 2.5secs

Hence the ball reaches the ground after 2.5secs

6 0

3 years ago

In an effort to control vegetation overgrowth, 114 rabbits are released in an isolated area free of predators. After 3 years, it

valentina_108 [34]

114 rabbits are released in an isolated area free of predators

When month =0 , the rabbits = 114

3 years = 36 months

When months = 36 , then rabbits = 912

(0,144) and (36, 912)

Exponential growth equation is y = ab^x

Plug in each point and solve for 'a' and 'b'

$114= ab^0$ so a= 114

(36, 912)

$912= 114b^{36}$

Divide both sides by 114 and then take 36th root on both sides

8 = b^36

b = 1.05946

so exponential equation is $y= 114(1.05946)^x$

x is the number of months and y is the population

to find the population be after another 3 months

Plug in 36+3= 39 for x and find out y

$y= 114(1.05946)^{39}$

y= 1084.43336

so , 1084 rabbits after another 3 months

3 0

3 years ago