Rosario is an ecologist who studies the change in the penguin population of Antarctica over time.
The relationship between the elapsed time t, in years, since Rosario started studying the population, and
the number of penguins, P(t), is modeled by the following function:

P(t) = 21,000 • (4/7)^t/3
Complete the following sentence about the rate of change in the penguin population.

The population of penguins loses 3/7 of its size every ____ years.

Answers

Answer 1

Answer: every 3 years

Step-by-step explanation:


Related Questions

If a line goes through Point (1,2) and has a slope of 2 then find R if the line also goes through the point (r,8)

Answers

Answer: r = 4

Step-by-step explanation:

See the image.

Solve the equation.
Start Fraction b over negative 6 End Fraction = –3

Answers

Answer:

Step-by-step explanation:

b/-6=-3

b=18 (x -6 on both sides)

Help please, I'm stuck on this

Answers

An swer:

d

Step-by- step explana tion:

first person to answer all of these questions gets brainliest, also upping points to 50

Answers

Answer:

#1

Ratio of 45-45 and 30-60-90 triangles

45-45

a : b : c = 1 : 1 : √2

30-60-90

a : b : c = 1 : √3 : 2

a)  

b = 10/2 = 5a = 5√3

b)

k = l = 6√2/√2 = 6

#2

Find x

7/x = cos 66°x = 7/ cos 66°x = 17.2

Find y

y/x = sin 66°y = 17.2 sin 66°y = 15.7

#3

a) sin A = 5/13

b) cos A = 12/13

c) tan A = 5/12

d) A = arcsin (5/13) = arccos (12/13) = arctan (5/12) = 22.6°

help is this right ? pleasee helppppp ????​

Answers

Answer:

yes you are correct

Step-by-step explanation:

YAY THANK YOU IM NOW AN ACE

Find the perimeter of a circle with radius 35cm.[Takex=[22/7}]

Answers

Answer:

i have made it in above picture

220 cm

hope it helps

a concession stand sells bags of popcorn for 3$ and cotton candy for 2$. a customer purchased bags of popcorn as well as cotton candy and spent 12$ . What is the equation that models this situation

Answers

Answer:

x3+y2=12

Step-by-step explanation:

I don't have a step by step explanation, hope this helps!!!

a boy has $5 coins and a $10 coins they are eight coins all together and their value is $55 how many of each kind does he have​

Answers

Answer:

3 $10 coins and 5 $5 coins

Step-by-step explanation:

Lucas is making 12 jumbo muffins to sell at his class bake sale . He has 2 bowls full of batter what fraction of a bowl of batter should Lucas put in each muffin cup ?

Answers

Answer:

1/6 of a bowl of batter

Step-by-step explanation:

Find out how much muffins is needed for 1 bowl.

2 bowls = 12 muffins

1 bowl = 12 ÷ 2 = 6 muffins

Since 1 bowl can fill 6 muffins, it's 1/6

Graph the equation y + 4 = .

Answers

Answer:

just go to Desmos graphing calculators

Step-by-step explanation:

and that all

With out a second variable (ie., y+4=x) the assumption is that y+4=0. Therefore, subtracting 4 from both sides results in y=-4. This would be a horizontal line crossing the y axis at -4.

Question and answer options attached. Please help, thanks!

Answers

Answer:

there is no question but i think out of a,b,c and e i think b or c

Step-by-step explanation:

sorry

Can 3 over 11/2 and 6 over 11 be a proportion?? Please explain!!! ASAP

Answers

Answer:

Yes! these are in the same proportion

Step-by-step explanation:

Lhs = 3 over 11/2 = 3/(11/2)

=>3× (2/11)

=> 6/11

=> Rhs

i hate geometry if someone could help me i would appreciate it so much

Answers

Answer:

Step-by-step explanation:

150 + 150 + x = 360

x = 60

∠ADC = 60°

they are the same

Luke wants to send 21 parcels by the Express service.
He does the calculation 20 x £15 = £300 to estimate the cost.
(b)
Explain why Luke's calculation shows the actual cost will be more than £300

Answers

Answer:

Because he has to send one more parcel than the estimation.

Step-by-step explanation:

i need your guys help i don’t know nun abt this at all

Answers

Answer:

1) 2² + 5² = ?²

2) 6² + ?² = 9²

3) 8² + 16² = ?²

4) 8² + ?² = 10²

Step-by-step explanation:

Because these are all right triangles, we can use the Pythagorean Theorem:

a² + b² = c²

Where c is the hypotenuse, the longest side of the triangle. It can be identified as being across from the right angle of the right triangle.

The legs are the two other sides of the triangle and they are interchangeable when placed in the Pythagorean Theorem.

You want to buy a new car. You can afford payments of $300 per month and can borrow the money at an interest rate of 5.2% compounded monthly for 5 years.

Answers

Answer:

$367.17

Step-by-step explanation:

we are find the cost of the car after 5 years

Using the compound interest formula;

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

Given

Principal P = $300

rate r = 5.2% = 0.052

Time t = 5years

Time of compounding n = 1/12 (monthly)

Substitute into the formula

A = 300(1+0.052(12))^5(1/12)

A = 300(1+0.624)^0.4167

A = 300(1.624)^0.4167

A = 300(1.2239)

A = 367.17

hence the amount of the car after 5years is $367.17

Please help it‘a due today

Answers

Answer:

u know area of rectangle is length × breadth

therefore, area = (3x+4)×(7x-2)

= 21x²-6x+28x-8

= 21x²+22x-8

= d ans

If 2 inches is about 5 centimeters,
about how many inches is 45
centimeters?

Answers

Answer:

about 18 (17.7)

Step-by-step explanation:

Answer:

About 17 inches

Step-by-step explanation:

if the income tax rate is 4%, determine the amount of income tax paid on income of $20,000.​

Answers

Answer: $800.

Step-by-step explanation:

To find the income tax of $20,000 simply multiply 20,000 by the decimal of 4%.

20,000 x 0.04 = 800

what is the answer to x - 4 = -2

Answers

Answer: x=2

Step-by-step explanation: add 4 to both sides of the equation.


If the time now is 4 PM on Saturday, after 253 hours the time will be:
(A) Sun. 5AM
(B)Tues. 5AM
(C) Wed. 1AM
(D) Wed. 5AM

Answers

Answer:

 C I'm pretty sure

Step-by-step explanation:

Pls help and thank you so much

Answers

Answer:

y=4x+3

Step-by-step explanation:

y intercept is 3 and x is 4

hi please help i’ll give brainliest please

Answers

Answer:

45

Step-by-step explanation:

The answer would be 45

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
(ILL GIVE BRAINLY)

Answers

Answer:

um... what are trying to say?

Step-by-step explanation:

Answer:

Step-by-step explanation:

∠H is congruent to ∠B

:::::

GH/DJ = AB/DC

The popularity of the Gutenberg press in Europe made books more accessible and motivated people to want to learn how to write. paint. read. travel.

Answers

Answer:

read.

Step-by-step explanation:

The popularity of the Gutenberg press in Europe made books more accessible and motivated people want to learn how to READ.

This is evident in the fact that Johannes Gutenberg who was widely known as a printer was famous for inventing a means of producing books at a cheaper cost and portable size that is also durable and easy for distribution.

The result of this invention led to an increase in the availability of books and thereby enhance and motivate more people, not just the elites, to have access to books and READ them.

Answer:

Read

Step-by-step explanation:

cause

what is the m<R???????​

Answers

Answer:

128

Step-by-step explanation:

Hey There!

So the rule about interior angles of a trapezoid

is that the angles that lie on the segments that are not parallel are supplements

so essentially what I'm saying is that angle R and angle U are supplementary angles so to find x we do

180=15x+8+7x-4

step 1 combine like terms

15+7=22

8-4=4

now we have

180=22x+4

step 2 subtract 4 from each side

180-4=176

now we have

176=22x

step 3 divide each side by 22

176/22=8

so x=8

now we plug in 8 to 15x+8

8x15=120

120+8=128

so we can conclude that angle R = 128

Need help plz
What number is half way between 3 and 4?​

Answers

Answer:

um 3.5?

Step-by-step explanation:

Answer:

3.5

Step-by-step explanation:

if I'm understanding the question correctly, that is the answer

4x – 5.2y + 6y + 7.9x – 8x *

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{4x - 5.2y + 6y + 7.9x - 8x}[/tex]

[tex]\huge\text{COMBINE your LIKE TERMS}[/tex]

[tex]\large\textsf{(4x + 7.9x - 8x) + (-5.2y + 6y)}[/tex]

[tex]\large\textsf{4x + 7.9x - 8x =}[/tex]

[tex]\large\textsf{4x + 7.9x = 11.9x}[/tex]

[tex]\large\textsf{11.9x - 8x = 3.9x}[/tex]

[tex]\large\textsf{4x + 7.9x - 8x = 3.9x}[/tex]

[tex]\large\textsf{(3.9x) + (-5.2y + 6y)}[/tex]

[tex]\large\textsf{-5.2y + 6y = 0.8y}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf3.9x + 0.8y }}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

3.9x+0.8y

Step-by-step explanation:

4x−5.2y+6y+7.9x−8x

Combine −5.2y and 6y to get 0.8y.

4x+0.8y+7.9x−8x

Combine 4x and 7.9x to get 11.9x.

11.9x+0.8y−8x

Combine 11.9x and −8x to get 3.9x.

3.9x+0.8y

It can also be converted to fraction form:

[tex]\frac{4y}{5}+\frac{39x}{10} = 3.9x+0.8y[/tex]

if 36/5x=3/5 what is x​

Answers

Answer:

x = 12

Step-by-step explanation:

Given

[tex]\frac{36}{5x}[/tex] = [tex]\frac{3}{5}[/tex] ( cross- multiply )

15x = 180 ( divide both sides by 15 )

x = 12

Find the measure of each angle indicated.
23°
128°

Answers

Find the acute angle in the first quadrant used as a reference for

23, 128, 337, 128

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