A population of beetles is modeled by the equation b(t) = 3,000 (2)t where t represents the number of weeks since the population was first measured?

Answers

Answer 1

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]b(t) = 3000 * 2^t[/tex]

The question is incomplete;

A possible question could be to calculate the initial amount of beetle

An exponential function is represented as:

[tex]f(x) = ab^x[/tex]

Where

[tex]a \to Initial\ amount[/tex]

By comparison:

[tex]a = 3000[/tex] --- The initial number of beetles

Another question could be to solve for f(t), after a certain number of weeks (say 3)

Substitute 3 for t in: [tex]b(t) = 3000 * 2^t[/tex]

[tex]b(3) = 3000 * 2^3[/tex]

[tex]b(3) = 3000 * 8[/tex]

[tex]b(3) = 24000[/tex]


Related Questions

Una escalera de 30 pies de longitud está apoyada contra una pared de modo que su extremo superior se desliza hacia abajo con una velocidad de 1/2 pies/seg ¿cuál es la tasa de variación de la medida del ángulo formado por la escalera y el piso cuando el extremo superior está a 18 pies del piso?

Answers

Answer:

dα /dt  = -  0.028 rad /sec     or  dα /dt  = - 1.59 °

El signo menos significa que el angulo va decresiendo

Step-by-step explanation:

La escalera, la pared vertical y el pié de la escalera y la pared forman un triangulo rectangulo. En ese triangulo

cos α   (  α  angulo que forma la escalera con el piso )

cos α =   x / L

Tomando derivadas con respecto al tiempo (L es constante ) se tiene:

- sen α  *  dα / dt   =  dx/ dt / L

Cuando  el extremo superior de la escalera está a 18 pies del piso, entonces  sen α  =  18 / 30  =  0.6

dx/dt = 1/2 pie/sec

dα/dt  = - (1/2)/ L* 0.6

dα /dt  = -  0.5 / 18

dα /dt  = -  0.028 rad /sec     or  dα /dt  = - 1.59 °

El signo menos significa que el angulo va decresiendo

Find the side length x

Answers

Answer:

Step-by-step explanation:

pythagoras theorem

a^2+b^2=c^2

7^2+24^x^2

49+576=x^2

625=x^2

[tex]\sqrt{625[/tex]=x

25=x

Can someone help me on this.

Answers

Answer:

The answer would be d

Step-by-step explanation:

Answer:

Step-by-step explanation:

3^(-5) is equivalent to:

    1

----------

 3^5

f(x)=x². What is g(x)?
A. g(x) = 2x²
B. g(x) = (½x)²
C. g(x) = (4x)²
D. g(x) = (2x)²

Answers

C is the correct answer

Answer:

g(x) = (2x)²

Step-by-step explanation:

Write the equation of the line in fully simplified slope-intercept form.

Answers

y=-5x+6
...................

48% as its simplest fraction

Answers

Answer:

12/25

Step-by-step explanation:

Percent means out of 100

48% means 48/100

Divide top and bottom by 4

12/25

It would be 12/25.
48/4=12 and 100/4=25, so 12/25.

(3 - 8a)(-1)
please help asap

Answers

Answer:

-3 + 8a

Step-by-step explanation:

multiply 3 by -1 as well as -8a by -1 and you'll get -3 + 8a

NEED HELP ASAP

Approximately how many cups of aquarium salt mix should David use for 30 gallons of purified water? Round your answer to the nearest cup.

16 cups
17 cups
17 cups
16 cups

Answers

Answer:

16.8 cups

Step-by-step explanation:

3.5 percent of 30 gallons

select the equivalent expression PLEASE HELP WILL MARK BRAINLIEST

Answers

Answer:

A    4^15 * 5^10

Step-by-step explanation:

When moving to the other side of a fration the exponent changes sign

4^3 / 5^-2 = 4^3 * 5^2

When taking an exponent to anexponet, multiply the exponents

(4^3 * 5^2)^5 = 4^15 * 5^10

Answer A

In a class or 30 students, 12 catch the train to school, 6 walk to school and the rest were driven by their parents. How many students are driven to school? What percentage is this?

Answers

Answer:

40percent

Step-by-step explanation:

30-12-6 is 12

12/30 times 100 is 40

Answer 40%
Explanation
30-12-6=12
12/30 X 100% =40%

Help me now!! 16 points!!

Answers

Answer:

it's the fourth one

Step-by-step explanation:

Solve all the problems using exponent rules and the last one equals 632

Trying to find the surface area and can not get the answer.

Answers

Answer:

Hi there user! I'll help you!

96 should be the correct answer!

Step-by-step explanation:

4 x 3 = 12

4 x 7 = 28

5 x 7 = 35

3 x 7 = 21

12 + 28 + 35 + 21 = 96

Mr kacanich was baking a chocolate cake. The recipe called for 3/4 cup of unsweetened cocoa powder, but after he started mixing ingredients, he relized he didn't have enough. If mr kacanich borrowed 1/4 cup from the neighbor, how much of his own cocoa powder did he have?

Answers

Answer:

2/4 cup

Step-by-step explanation:

Unsweetened cocoa powder needed = 3/4 cup

Unsweetened cocoa powder borrowed = 1/4 cup

how much of his own cocoa powder did he have?

Let

x = Unsweetened cocoa powder Mr kacanich has

Unsweetened cocoa powder needed = Unsweetened cocoa powder Mr kacanich has + Unsweetened cocoa powder borrowed

3/4 = x + 1/4

Subtract 1/4 from both sides

3/4 - 1/4 = x + 1/4 - 1/4

3/4 - 1/4 = x

x = (3-1)/4

x = 2/4 cup

Calcule a área da região sombreada da figura abaixo.
120°
4 cm
B

Answers

Answer:

Area of segment = 9.8 cm² (Approx.)

Step-by-step explanation:

Given:

Angle θ = 120°

Radius of circle = 4 cm

Find:

Area of segment

Computation:

Area of segment = [θ/360][π][r]² - [1/2][r²][sinθ]

Area of segment = [120/360][3.14][4]² - [1/2][4²][sin120]

Area of segment = [0.333][3.14][16] - [0.5][16][0.866]

Area of segment = 16.7299 - 6.28

Area of segment = 9.8019

Area of segment = 9.8 cm² (Approx.)

Work out the size of angle ACB

Answers

Step-by-step explanation:

AOB=2ACB

ACB=112/2=56

Please use system of linear equations by elimination OR substitution. I need the work as well please.

Answers

1) P= 64 cm, width = x, length = 14 + x

64 = x + x + 14 + x + 14 + x

64 = 4x + 28

4x = 64 - 28

4x = 36

x = 36/ 4

x = 9

AREA = 9 x (9+14)

Area = 9 x 23

Area = 207 cm

2) smaller no. = y, bigger no. = x

x - y = 3

2x+1/2y=36

Next, multiply 2 to first equation and find y:

2x-2y=6

5/2y=30

y = 12

Substitue y to x-y=3 to find x,

x = 15

3) x = pencil, y = pen

5x + 4y = $6.15

8x + 3y = 9.85$

8x + 7y = ?

5x + 4y = 6.15$ multiply both sides by -3

8x + 3y = 9.85$ multiply both sides by 4

-15x + 32x = (-3)*6.15 + 4*9.85

7x = 19.87 multiply both sides by 8/7

8x = (8/7) x 19.87

Add both equations:

32y - 15y = 8x6.15 - 5*9.58

17y = 1.3

y = 91/17) x 1.3

7y = (7/17)x 1.3

8x + 7y = (8/7) x 19.87 + (7/17) x 1.3

8x + 7y = $23.244

4) 2l + 2w = 0

2 x 2l + 2 x 1/2w = 40 + 16

l+w = 20

4l+w = 56

I’ve got l = 12 and w = 8

5) answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° = \frac{ab}{bc}

but bc = 20 feet.

⇒ tan 55 ° =   \frac{ab}{20}

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet

6) The answer is teh attachment !

7) 3x-x+2=4

HOPE THE ANSWERS HELP!! PL MARK ME BRAINLIEST!

The carnival began at 12:37 pm and ended at 4:31. How long was the carnival

Answers

Answer: 3 hours and 54 minutes

Step-by-step explanation:

which of the following polynomials is in standard form? (PICTURE)

Answers

Answer:

D) exponents are in decreasing order

Step-by-step explanation:

please provide a answer

Answers

Answer:

uhh, look it up

Step-by-step explanation:

point (17,18) is located in quadrant​

Answers

Answer:

25

Step-by-step explanation:

add 7+ to the quadrant to 18+

Answer:

Step-by-step explanation:

x and y both positive.

so it lies in first quadrant.

Mrs. Jackson has only $127.50 to spend at a clothing store. He
wants to buy a shirt that costs $87, including tax, and some
bracelets that cost $4.50 each, including tax.
Write an equation to determine, x, the amount of bracelets Mrs.
Jackson could buy.
Equation: ________________________________________________
Solve the equation to determine the number of bracelets Mrs.
Jackson could buy.

Answers

Answer:

$4.50x = $127.50 - $87

x = $40.50 / $4.50

x = 9

Step-by-step explanation:

The amount she can spend on bracelets is the total amount she wants to spend less the cost of the shirt

$4.50x = $127.50 - $87

4.50x = 40.50

divide bot side by 4.5

x = 9

How can you boost your mental and emotional health at school A. Do not bother taking notes in class. B. Develop good note-taking and study habits. C. Avoid making new friends. D. Focus on extracurricular activities and clubs rather than class.

Answers

Answer B: Develop good note-taking and study habits.

Someone please help me thank you

Answers

This is how you graph the question

Answer:

Screenshot of graph image.

Step-by-step explanation:

Correction to the previous answer. You need to graph the line.

Extra Information:

The Linear Equation Is [tex]y=\frac{2}{3} x+-4[/tex]

The Slope Is [tex]\frac{2}{3}[/tex]

The Y Intercept Is -4

the picture frame shown are both squares the area of a larger frame is four times the area of the smaller frame find the side length of the larger frame. a=64 in sq​

Answers

Answer:

The side length of the larger square is 32

Step-by-step explanation:

Its 32 because the side lengths for the small square are 8 because  8 by 8 is 64. Multiply 8 by 4 which is 32.

Answer:

The side length of the larger frame is 128 inches.

Step-by-step explanation:

64 × 4 = 256

256 ÷ 2 = 128

Help me !! Plzzzzz
Consider the sets:
K = {1, 2, 3, 4, 5)
L = {1,4,5,7}
List the elements in Kand L.
A)6
B) 9
C){1,4,5)
D) {1,2,3,4,5,7)

Answers

The answer would be C

A carpenter bought a piece of wood that was 6.85 meters long. Then she sawed 0.57 meters off the end. How long is the piece of wood now? meters. help plz​

Answers

Answer:

6.28meters

it is the aswer if wrong please tell me

According to the graph, what is the value of the constant in the equation below?
(0.5, 1) (2,4) (3,6) (5, 10)
A. 1
B. 2
C. 0.5
D. 5

Answers

Answer:

B.

Step-by-step explanation:

y = mx + b

y = 2x

A football feild is about 100 m long if it takes a person 20 seconds to run its length how fast (what speed) were they running???? Please help

Answers

Answer:

5m a second

Step-by-step explanation:

Answer:

5 mps

its simple, all you have to do is times 5 meters by 20 seconds and you get 100 meters. so its 5 mps. (sorry i explained it kinda weird)

assume x and y are two odd numbers and x/y is an integer. which of the following statements are true?
1. x+y is odd
2. xy is odd
3. x/y is odd
4. x-y is odd
pls help me and DONT answer in link

Answers

Answer:

2. xy is odd

Step-by-step explanation:

We can represent the two odd numbers as 2a + 1(x) and 2b + 1(y).

1. x + y is odd

We can add x + y:

2a + 1 + 2b + 1

2a + 2b + 2

From this, we can factor out 2:

2(a + b + 2)

Since 2 is a factor, the number x + y cannot be odd.

2. xy is odd:

We can multiply x and y:

(2a + 1)(2b + 1)

4ab + 2a + 2b + 1

From the first three terms, we can factor out 2:

2(2ab + a + b) + 1

We can say that 2(2ab + a + b) is an even number because it has a factor of 2. We are adding one to it, and one added to any even number is odd, so xy is odd.

We do not need to calculate further because we have already found an answer.

Matthew bought 45 oz of flour for his bakery. He used 18.3 oz to make a loaf of bread, and 0.83 oz for each muffin. How many muffins did Matthew make if he had 13.42 oz of flour left over?

Answers

He made about 16 muffins
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