The equation LaTeX: p=5000\cdot2^tp = 5000 ⋅ 2 t represents the population of an invasive fish species in a large lake, years since 2005, when the fish population in the lake was first surveyed.


What was the population in 2005?

Answers

Answer 1

Answer:

10000 fish species

Step-by-step explanation:

Given

[tex]p=5000\cdot2^t[/tex]

Required

Find the population in 2005

2005 is the first year

So: [tex]t = 1[/tex]

Substitute 1 for t in [tex]p=5000\cdot2^t[/tex]

[tex]p=5000\cdot2^t[/tex]

[tex]p = 5000 * 2^1[/tex]

[tex]p = 5000 * 2[/tex]

[tex]p = 10000[/tex]


Related Questions

50 points! Right answers will get brainliest! Random answers will be reported

Answers

Answer:

Hope it helps u

Step-by-step explanation:

When rotating a point 270 degrees counterclockwise about the origin our point A(x, y) becomes A'(y,-x). This means, we switch x and y and make x negative,

hence A(2,1) so after 270 degree counter clockwise rotation the A  become,

A(1, -2)

Please brain-list the answer thanks.....

1 2 hopefully this helps

Rose was tracking the movements of a rabbit and plots the movements of the rabbit on this graph.
Calculate the fastest speed that Rose observes the rabbit move.

Answers

Answer:

2.25 m/s

Step-by-step explanation:

Looking at the graph, we observe that the interval CD is when the speed was the fastest

Let's calculate this, use points C(4,3), D(12,12)

(12 - 3)/(12 - 8) = 9/4 = 2.25 m/s

Find the measure of the exterior angle in the following triangle. DUE SOON PLZ HELP WITH STEP BY STEP

Answers

Answer:

The measure of an exterior angle = 125°

Hence, option A is correct.

Step-by-step explanation:

As the given triangle is a right-angled triangle ΔABC.

Given the angles

m∠A = 35°m∠C = 90°

We know that the sum of angles in a triangle is 180°.

Thus,

m∠A + m∠B + m∠C = 180°

substituting m∠A = 35° and m∠C = 90° in the equation

35° + m∠B + 90° =  180°

125 + m∠B = 180°

subtract 125 from both sides

125 + m∠B - 125 = 180° - 125

m∠B = 55°

Thus, the measure of angle B is:

m∠B = 55°

As the exterior angle of the given triangle is adjacent to m∠B = 55°.

We know that the exterior angle of a triangle is equal to the sum of two opposite interior angles.

Here,

∠A and ∠C are two opposite interior angles of the exterior angle.

Thus,

The measure of an exterior angle is equal to the sum of two opposite interior angles.

as

m∠A = 35°m∠C = 90°

so

Exterior angle = m∠A + m∠C

                        = 35° + 90°

                        = 125°

Thus, the measure of an exterior angle = 125°

Hence, option A is correct.

Which equation represents a linear function?

A) x = y2

B) y – 2 = x2 + 5x

C) y = x3 + 1

D) 5x + 6y = 12

Answers

Answer:

D) 5x + 6y = 12

Step-by-step explanation:

x = y^2 is Not Linear (Find the degree of the equation to determine if linear.)

y - 2 = x^(2) + 5x is Not Linear (Find the degree of the equation to determine if linear.)

y = x^(3) + 1 is Not Linear (A linear equation is an equation of a straight line, which means that the degree of a linear equation must be 0 or 1 for each of its variables. In this case, the degree of variable y is 1 and the degree of variable x is 3.

5x + 6y = 12 is Linear (Find the degree of the equation to determine if linear.)


Which of the following is an example of the identity property of 1?

Answers

Answer:

2 or 1

i mostly think its 2 but im not sure

Step-by-step explanation:

select all the ordered pairs that satisfy the function: y=1/2x-1


a.(0,-1)

b.(8,7)

c.(-3,-11)

d.(-4,-3)

please and thank you

Answers

Answer:

a 0,-1 d -4,-3 hope this helps

Please help me with this equation, you are supposed to find x

Answers

Answer:

Step-by-step explanation:

[tex]\frac{3}{4}(x+21) =10\frac{1}{2} \\x+21=14\\x=-7[/tex]

this is my answer x= -7

During one team's season, the team has won 4 games out of the 12 games they have played. The team will play 42 games by the end of the season. Using this information, predict how many games the team will win.

Answers

Answer:

i say the team would win about 14 games

Describe the difference between the two given transformations.

Answers

Answer:

I think it's (A) the image Transformation 1 has an area that is 4 times greater than the image in Transformation 2.

Step-by-step explanation:

if not then correct me plz

square root of 10 simplified

Answers

The answer is 3.16! Hope this helps!!

Answer:

um so i [tex]\sqrt{2} \sqrt{5\\}[/tex] or 3.162

Step-by-step explanation:

Eiman borrowed $8000 at a rate of 14.5%, compounded semiannually. Assuming she makes no payments,
how much will she owe after 6 years?
Do not round any intermediate computations, and round your answer to the nearest cent.?


Answers

Answer:

1,717,351cents

Step-by-step explanation:

Using the compound interest formula

A = P(1+r/n)^nt

P = 8000

r = 14.5% = 0.145

n = 6/12 = 1/2 (semi annually)

t = 6years

Substitute

A = 8000(1+ 0.145/0.5)*(0.5)(6)

A = 8000(1+0.29)^3

A = 8000(1.9)^3

A = 8000(2.146689

A = 17,173.512

Hence the amount owned to the nearest cent is 1,717,351cents

If it is true that z2 - 6 = 19, then z2 + 6 = ?

Answers

The answer is probably the opposite which in this case would be -19 ?

X+3x
I’m not good at math!!

Answers

Answer:

4x

Step-by-step explanation:

i think it’s going to be 4x i’m not sure :)

Find the 5th term of the arithmetic sequence -5x – 9, 2x – 14, 9x – 19,...

Answers

The answers 5 because I looked it up

Write the expanded form of the expression
y(0.25 +6)

Answers

Answer:

free points for a easy question.   You do 0.25+6 in expanded form

Step-by-step explanation:

0.25y +6y is the expanded form of expression y(0.25 +6)

What is Number system?

A number system is defined as a system of writing to express numbers.

An expression is combination of variables, numbers and operators.

The given expression is y(0.25 +6)

y times of zero point two five plus six

In the given expression y is the variable and plus is the operator

y(0.25 +6)

Apply the distributive property of addition

0.25y +6y

Hence, 0.25y +6y is the expanded form of expression y(0.25 +6)

To learn more on Number system click:

https://brainly.com/question/22046046

#SPJ5

giving away 100 points to who ever answer

Answers

Answer:

i ajevehjecsgsugeveuehbevrc

Why are you giving away 100 points?

1
What is the slope of the line that passes through (2, 2) and (5,4)?

Answers

Answer:

The slope of the line= 2/3

Step-by-step explanation:

(2, 2)=(x, y) and (5, 4)=(`x, `y)

The formula for finding slope= `y-y/`x-x

4-2/5-2

2/3

Therefore, the slope=2/3

N2 + 3H2 → 2NH3


How many moles of NH3 could you make with 4.2021 g of N2?


2. 2Na + Cl2 → 2NaCl


How many moles of Cl2 do you need to use in order to react with 34.485 g of Na?


3. H2SO4 + 2NaNO2 → 2HNO2 + Na2SO4


How many grams of NaNO2 do you need in order to make 24.14714 g of Na2SO4?


4. 2Na + 2H2O → 2NaOH + H2


How many grams of NaOH could you make with 8.0465 g of Na?


5. 2Mg + O2 → 2MgO


If you are burning 5.8332 g of Mg, how many grams of MgO will this make?


6. FeCl3 + 3NaOH → Fe(OH)3 + 3NaCl


How many grams of NaCl could you make with 2.43306 g of FeCl3?

Answers

Step-by-step explanation:

1. N2 + 3H2 → 2NH3

How many moles of NH3 could you make with 4.2021 g of N2?

From the reaction;

1 mol of N2 produces 2 mol of NH3

1 mol of N2 = 14g of N2

14g of N2 produces 2 mol of NH3

4.2021 g of N2 produces x mol of NH3

14 = 2

4.2021 = x

x = 4.2021  * 2 / 14 = 0.6003 mol of NH3

2. 2Na + Cl2 → 2NaCl

How many moles of Cl2 do you need to use in order to react with 34.485 g of Na?

From the equation of the reaction;

2 mol of Na reacts with 1 mol of Cl2

1 mol of Na = 23g of Na

2 mol of Na - 46g of Na

46g of Na reacts with 1 mol of Cl2

4.485 g of Na reacts with x mol of Cl2

46 = 1

4.485 = x

x = 4.485 * 1 / 46 = 0.0975 mol of Cl2

3. H2SO4 + 2NaNO2 → 2HNO2 + Na2SO4

How many grams of NaNO2 do you need in order to make 24.14714 g of Na2SO4?

From the reaction;

2 mol of NaNO2 produces 1 mol of Na2SO4

2 mol of NaNO2 = 68.995 g/mol * 2mol = 137.99g

1 mol of Na2SO4 = 142.04 g

137.99g of NaNO2 produces 142.04 g of Na2SO4

xg of NaNO2 produces 24.14714 g of Na2SO4?

137.99 = 142.04

x = 24.14714

x = 24.14714 * 137.99 / 142.04 = 23.459g

4. 2Na + 2H2O → 2NaOH + H2

How many grams of NaOH could you make with 8.0465 g of Na?

From the reaction;

2 mol of Na produces 2 mol of NaOH

2 mol of Na = 23g/mol * 2mol = 46g

2 mol of NaOH = 40g/mol * 2 = 80g

46 g of Na produces 80g of NaOH

8.0465 g of Na produces xg of NaOH

46 = 80

8.0465 = x

x = 8.0465 * 80 / 46 = 13.994g

5. 2Mg + O2 → 2MgO  

If you are burning 5.8332 g of Mg, how many grams of MgO will this make?

From the reaction;

2 mol of Mg produces 2 mol of MgO

2 mol of Mg = 24 g/mol * 2mol = 48g

2 mol of MgO = 40.3 g/mol  * 2mol = 80.6g

48g of Mg produces 80.6 g  of MgO

5.8332 g of Mg produces xg of MgO

48 = 80.6

5.8332 = x

x = 5.8332 * 80.6 / 48   = 9.8g

6. FeCl3 + 3NaOH → Fe(OH)3 + 3NaCl

How many grams of NaCl could you make with 2.43306 g of FeCl3?

From the reaction;

1 mol of FeCl3 produces 3 mol of NaCl

1 mol of FeCl3 = 162.2 g

3 mol of NaCl = 58.44 g/mol * 3 mol = 175.32 g

162.2g of FeCl3 produces 175.32 g of NaCl

2.43306 g of FeCl3 produces xg of NaCl

162.2 = 175.32

2.43306 = x

x = 2.43306 * 175.32 / 162.2 = 2.63g

Help me please with This no need to explain

Answers

Answer:

D

Step-by-step explanation:

D includes all possible outcomes.

Answer:

D

Step-by-step explanation:

D show all the possible answers so D.

Suppose a city with population 600,000 has been growing at a rate of 4% per year. If this rate continues, find the population of this city in 15 years

Answers

Answer:

360,000

Step-by-step explanation:

Alright so first we need to find 4% of 600,000

So we get 24,000 now we multiply this by 15

24,000 x 15 = 360,000

Hope this helps

PLS HELP ASAP I DONT HAVE TIME FOR THIS, IT ALSO DETECTS IF ITS RIGHT IR WRONG

Answers

Answer:

120

Step-by-step explanation:

Add angle ABC and angle CBD together.

answer is 120, 30 degree angle plus 90 degree angle

A coastal geologist estimates that a certain country's beaches are
eroding at a rate of 1.5 feet per year. According to the geologist's estimate,
how long will it take, in years, for the country's beaches to erode by 21 feet?
A. 14 years
B. 31.5 years
C. 28 years
D. 16 years​

Answers

21/1.5=14

14 years to erode

Beatriz makes a conjecture that the sum of two odd integers is always an even integer. Which choice is the best proof of her conjecture? PLEASE QUICKK

Answers

Answer:

C

If the side of a square, a, is an odd number, then the perimeter of the square is an even number, b.

Pls help I will give Brainly to first answer

Answers

Answer:

I think right triangle, but I am not sure.

50 points! I will mark brainliest! Random answers will be reported.

Answers

Answer:

When rotating a point 270 degrees counterclockwise about the origin our point A(x,y) becomes A'(y,-x). This means, we switch x and y and make x negative

Solve for the value of a.

Answers

Answer:

a=11

Step-by-step explanation:

So, the line that (9a+6) and 75 are sharing is straight, meaning that it is 180 degrees. Also, (9a+6) and 75 are sharing the line. Even though we don't know there exact measurements, when know that by adding them together we will get 180 degrees.

1. (9a+6) + 75 = 180

2. 9a + 81 = 180

3. 9a = 99

4. a = 11

Hope this helped!

THE THREE SIDES OF A TRIANGULAR LOT
ARE MEASURED TO BE APPROXIMATELY 100.52
FT, 15.321 FT AND 143.250 FT LONG. FIND THE
APPROXIMATE PERIMETER OF THE LOT​

Answers

Answer:

259.09 feet

Step-by-step explanation:

Given that,

The three sides of a triangular lot are measured to be 100.52 ft, 15.321 ft and 143.250 ft.

We need to find the perimeter of the lot.

We know that,

Perimeter = sum of all sides

P = 100.52 + 15.321 + 143.250

P = 259.09 feet

So, the required perimeter of the lot is 259.09 feet.

-X + (1/2)y = 3
In slope intercept form

Answers

Answer:

moonano

Step-by-step explanation:

If 150 miles is 25% of a race, what is the length of the entire race?
3,750 miles
600 miles
37.5 miles
6 miles

Answers

Answer:

600 miles

Step-by-step explanation:

150x4=600

In 5 days, Lan jogged a total of 15 miles. She jogged the same number of miles each day. How many miles did Lan jog each day?​

Answers

75 miles

if u do 15x5 you will get 75 and that's how many miles you will get

Other Questions
Which term best describes the image?A. la biodiversidadB. el pesticidaC. el recalentamiento globalD. el maremoto You have 5 choices of shirts: red, blue, green, yellow, brown; 3 choices of pants: green, brown, black; 4 choices ofsocks: black, brown, tan, white; and 3 choices of shoes: white, brown, black. What is the probability that you willdress all in brown-shirt, pants, socks, and shoes? DUE IN 5 MINUTES!!!1!!11!1!!1123 + 392 - 234 x 2 3 + 223 x 14 = Read the excerpt from The Boy Who Harnessed the Wind by William Kamkwamba.A sudden gust muffled the voices below, then picked up into a steady wind. It took hold of my T-shirt and whistled through the tower rungs. Reaching over, I removed a bent piece of wire that locked the machine's spinning wheel in place. Once released, the wheel and arms began to turn. They spun slowly at first, then faster and faster, until the force of their motion rocked the tower. My knees buckled, but I held on.Which character trait do the details in the excerpt reveal about Kamkwamba?curiosityempathyloyaltydetermination I need help please help me with this question because I dont know it { x + y = 158x- y = 112 The summer night air was feverish.The whisper of the breeze curled within my ear.The crowd's roar was thunder.How does the author use metaphors in the sentences?1. to describe sensory details2. to describe air movement3. as examples of alliteration4 to add rhythm to the sentences I need a answer soon plz How does the author develop Martha's view of Mary's experience living in India?Burnett describes Martha's unwavering scorn for Mary's pampered childhood.Burnett describes Martha's horror at how Mary was never taught to dress or take care of herself in India.Burnett describes Martha's desire to go to India and experience a semblance of Mary's former life.Burnett describes Martha's curiosity about the types of people and animals Mary encountered in India. Simplify57leaving your answer in index form. Joey likes beer and whisky and spends 75 in total on drink. His utility function for whisky (w) and beer (b) is = 5 + .He can buy beer at 2 a can but the liquor store tries to discourage overconsumption of spirits by charging higher prices for larger quantities: the cost in dollars of bottles of whisky works out at !.a. How many cans of beer and how many bottles of whisky does Joey consume?b. Illustrate your answer with a clearly labelled diagram showing Joey's budget constraint and his indifference curve passing through the optimal consumption bundle.c. Joey's friend Ross shops at the same liquor store and spends the same amount on drink. Jim, however, insists on drinking beer and whisky together. His utility function is = min{5, } How much beer and whisky does Jim buy? The name for a variety of methods used to examine how an amount will change if factors involved in predicting that amount change is: Cost analysis. Cost-volume-profit analysis. Sensitivity analysis. Contribution margin analysis. Factor analysis. what a nucleotide is compare industrialization in japan and western europe What interest is needed to earn $137.50 on a deposit of $500 for five years if it earns simple interest? Adriel answered 54 questions correctly on his multiple choice history final and earned a grade of 45%. How many total questions were on the final exam? I'll give brainliest, please help.Study the map. How did the location of the Italian Peninsula influence the Renaissance? Choose three correct answers.by providing access to sea trade with many culturesby exposing people to new ideas through tradeby enabling overland trade with North Africaby isolating the peninsula from other areas, allowing it to avoid the plagueby leading to increased wealth from trade, which supported learning At the movies, a couple bought 2 medium drinks and a large popcorn for $13.85. At the same theater, a family bought 3 medium drinks and 2 large popcorns for a total of $23.90. What is the cost of a large popcorn? Which of the following is not necessary for the creation of fossil fuels?A. Organic matterB HeatC PressureD. Wind The population of a small town was 3500 in 2005. The population increases by 4% annually. A. Write an exponential growth function to represent this situation. B. What will the population be in 2025?