The approximate length (in cm) of a typical Pacific halibut t years old is given by f(t) = 200(1 -0.956e-0.181).
A Pacific lialibut caught by Mike measures 140cm. What is its approximate age?​

The Approximate Length (in Cm) Of A Typical Pacific Halibut T Years Old Is Given By F(t) = 200(1 -0.956e-0.181).A

Answers

Answer 1

Answer:

6 years old

Step-by-step explanation:

Given

[tex]f(t) = 200(1 -0.956e^{-0.18t})[/tex]

Required

Find t when f(t) = 140cm

Substitute f(t) = 140cm

[tex]140 = 200(1 -0.956e^{-0.18t})[/tex]

Divide both sides by 200

[tex]0.7 = 1 -0.956e^{-0.18t}[/tex]

Collect like terms

[tex]0.956e^{-0.18t} = 1 -0.7[/tex]

[tex]0.956e^{-0.18t} = 0.3[/tex]

Solve for t

[tex]e^{-0.18t} = 0.3/0.956[/tex]

[tex]e^{-0.18t} = 0.31381[/tex]

Take natural logarithm of both sides

[tex]ln(e^{-0.18t}) = ln(0.31381)[/tex]

[tex]-0.18tln(e) = ln(0.31381)[/tex]

[tex]-0.18t*1 = ln(0.31381)[/tex]

[tex]-0.18t = -1.159[/tex]

Solve for t

[tex]t = (-1.159)/(-0.18)[/tex]

[tex]t = 6.43[/tex]

[tex]t \approx 6[/tex]


Related Questions

Whats the answer to these? (These are called Proper fractions.)

Jeremiah ran for 3/10 of a mile and then walked another 2/5 of a mile. How far did he travel in all?

Daniel read 4/5 books and Edgar read 1/2 books. How many more books did Daniel read than Edgar?

Jared drove 2/8 miles to the restaurant. He drove another 1/4 miles to the mall. How many miles did he drive in all?

Answers

Answer:

1: 7/10

2: 3/10

3: 4/8 (2/4 or 1/2 if you need to simplify it)

Step-by-step explanation:

1: Convert 2/5 to tenths by multiplying the denominator and numerator by two. 3/10 plus 4/10 is 7/10

2: Convert 4/5 and 1/2 to tenths.

4/5 is going to be 8/10, 1/2 is going to be 5/10.

Subtract 5/10 from 8/10 to get 3/10

3: Convert 1/4 to eighths to get 2/8. Then add 2/8 and 2/8 to get 4/8.

Jeremiah: convert the 5ths to 10ths
3/10 + 4/10 = 7/10

Daniel: convert both fractions to 10ths
8/10 - 5/10 = 3/10

Jared: reduce 8ths to 4ths
1/4 + 1/4 = 2/4 = 1/2

every day, andrews orange juice stand uses 2 bags of oranges. How many days with 2/3 of a bag of oranges last?

Answers

Answer:

2/3

Step-by-step explanation:

How do savings account differ from checking accounts
- they’re not offered at banks
- they typically pay interest
- the funds are easier to get
-you have to keep the money in for a long

Answers

Answer:

Savings accounts typically pay interest.

Step-by-step explanation:

Divide x2 by x - 1. What is the value of the remainder?
A) 1
B) -1
C) 2
D) o

Answers

Answer:

I think it's B.

Step-by-step explanation:

Divide using polynomial division.

x + 1 + 1/ x − 1.

Maybe not 100% sure.

Tonya has 39 packages. Each package weighs 6 pounds. Choose the best estimate of the total weight of the packages.

Answers

Step-by-step explanation:

If were estimating, 39 is pretty close to 40 and 40x6 is 240 pounds. if we are getting exact about it, then 234 pounds

What Is The Answer
k3 - 4j +12, when k=8, j=2​

Answers

Answer:

The answer would be 28

Step-by-step explanation:

You would plug 8 in where k is and 2 where j is

so (8)3 - 4(2) +12

answer is 28

Yes, answers would be 28

what is the slope of the line that passes through the points (2,-3) and (2,13)? write your answer in simplest form

Answers

Answer:

The slope is undefined because there is no change in x, making it a vertical line

Step-by-step explanation:

PLEASE ANSWER ASASP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!

Answers

Answer: 105 km

Step-by-step explanation:

(15 km / 2.5 cm) x 17.5 cm = 105 km

A polynomial function has zeros at 5/2 (multiplicity 2), 3 (multiplicity 1), and 0 (multiplicity 4). Write a function in standard form that could represent this function

Answers

Answer:

-75 x^4 + 85 x^5 - 32 x^6 + 4 x^7

Step-by-step explanation:

[tex](x-5/2)^{2}(x-3)(x-0)^4 =0\\(2x-5)^{2}(x-3)(x)^4 =0[/tex]

Expand and get

-75 x^4 + 85 x^5 - 32 x^6 + 4 x^7

The standard form will be  [tex]X^4(x^4-7x^3+12x^2-\dfrac{35x}{2} +\dfrac{25x^2}{4} +\dfrac{25}{4} =0[/tex]

What will be the standard form of the given expression?

The given expression is

[tex](x-\dfrac{5}{2})^2(x-1)^2(x-0)^4=0[/tex]

[tex](x^2-5x+\frac{25}{4} )(x^2-2x+1)(x^4)=0[/tex]

[tex](x^4-2x^3+x^2-5x^3+10x^2-5x+\dfrac{25x^2}{4} -\dfrac{50}{4} x+\dfrac{25}{4} ) x^4=0[/tex]

[tex]X^4(x^4-7x^3+12x^2-\dfrac{35x}{2} +\dfrac{25x^2}{4} +\dfrac{25}{4} =0[/tex]

Thus the standard form will be  

[tex]X^4(x^4-7x^3+12x^2-\dfrac{35x}{2} +\dfrac{25x^2}{4} +\dfrac{25}{4} =0[/tex]

To know more about Polynomials follow

https://brainly.com/question/15702527

a taxi company currently has nine cabs in its fleet, and its total daily cost is 4,000. if the company added a 10th cab its daily total cost would be 4.200 or 420 per cab.

Answers

Answer:

4000÷9 the answer it gaves for one you add it to the 4000

420 per cab?Im not sure but shouldn’t it be 400 instead?

write an integer for each

1- a deposit for $40
2- a loss of 25 pounds

please this assignment locks soon and it’s already over due,

Answers

Answer:

1. 40

2. -25

Step-by-step explanation:

I'm sure this is the answer

3 (7/5x+4) -2 (3/2 - 5/4x)​

Answers

Answer:

I know the mixed number will be 1 because u subtracts that's all I know and just subtracts the fractions ok sorry

Answer:

[tex]6\frac{7}{10}x + 9[/tex]

Step-by-step explanation:

Step 1:  Distribute

[tex]3(\frac{7}{5}x + 4)-2(\frac{3}{2}-\frac{5}{4}x)[/tex]

[tex](3*\frac{7}{5}x) + (3 * 4) + (-2 * \frac{3}{2}) + (-2 * -\frac{5}{4}x)[/tex]

[tex]\frac{21}{5}x + 12 + \frac{-6}{2} + \frac{10}{4}x[/tex]

Step 2:  Combine Like Terms

[tex]12 - 3 + \frac{21}{5}x + \frac{5}{2}x[/tex]

[tex]9 + (\frac{21*2}{5*2}x + \frac{5*5}{2*5})[/tex]

[tex]9+(\frac{42}{10}x + \frac{25}{10}x)[/tex]

[tex]9+\frac{67}{10}x[/tex]

[tex]6\frac{7}{10}x + 9[/tex]

Answer:  [tex]6\frac{7}{10}x + 9[/tex]

Please let me know if you need to make it more clear!  :)

What’s the answer to this

Answers

The answer is A I think

The Davis family is going to reseed the grass in the backyard. Their yard is irregularly shaped with a cement patio and rectangular garden as shown below. Given that the family will not need grass seed for the patio or the garden areas, what is the total area of the land will they be reseeding?

Answers

Answer:

1,482 square feet

Step-by-step explanation:

Find total area - 37 x 46 = 1,702

Find area of patio and garden - 16 x 10 = 160 for the patio, 12 x 5 = 60 for the garden

Subtract from total area - 1702 - 160 = 1542, 1542 - 60 = 1,482 sq ft

A traveling circus with thrill rides Charge 7$ For admission $1.50 For each ride you take. If you pay $29.50 total, how many rides did you take?

Answers

Answer:

15 rides

Step-by-step explanation:

29.50 - 7 = 22.50

22.50 / 1.50 = 15

21 I think!! Hope this is right

A farmer sells 8.9 kilograms of pears and apples at the farmer's market. 1 4 of this weight is pears, and the rest is apples. How many kilograms of apples did she sell at the farmer's market?

Answers

Answer:

7.5 kilograms of apples

Step-by-step explanation:

Take the total amount and subtract the amount of pears.

8.9-1.4=7.5

Answer:

If 2/5 are apples, 2/5 x 8.9 kilos = 0.4 x 8.9 = 3.56 kilos of apples

pears = 8.9 - 3.56 = 5.34 kilos

if apples are 2/5, then pears are 3/5.  3/5 x 8.9 = .6 x 8.9 = 5.34 kilos of pears

what is the answer for number 1?

Answers

Answer:

28.26

Step-by-step explanation:

A = pie x radius*2

The radius is 3, and pie is 3.14. This means the equation is

A = 3.14 x 3*2

3*2 is just 3 x 3, which is 9.

9 x 3.14 = 28.26

Round 1526.04 to the nearest tenths

Answers

1526.00

This is because the 4 is not atleast or greater than five, therefore it rounds down.

In AIJK, the measure of K=90°, IJ = 8.6 feet, and KI = 4.5 feet. Find
the measure of ZI to the nearest tenth of a degree.

Answers

Answer:

58.4

Step-by-step explanation:

delta math give up

Which of the following is equivalent to log 25 125?

Answers

Answer:

[tex]\frac{3}{2}[/tex]

Step-by-step explanation:

Did you mean [tex]log_{25}[/tex] 125, so that your base is 25?  If so then all you do is ask  yourself "25 to what power is 125?" since [tex]25^{\frac{3}{2} }[/tex] = 125, then the  [tex]log_{25}[/tex] 125 = 3/2

What is the volume of a cube with a side length of 3t5units?

Cube V = s3

Answers

Answer:

V=a3=33=27

Step-by-step explanation:

sorry if its wrong

Write down the name of the solid.

Answers

Answer:

Cube

Step-by-step explanation:

give brailist but help me fast

Answers

Answer:

76.7

Step-by-step explanation:

11.3(3) + 10.7(4) = __ + 42.8

Multiply values

33.9 + 42.8 = __ + 42.8

The missing value is 33.9!

42.8 + 33.9 = 76.7

A drone is flying at kilometers per hour at a constant altitude of km above a straight road. The drone pilot uses radar to determine that an oncoming motorcycle is at a distance of exactly kilometers from the drone, and that this distance is decreasing at kph. Find the speed of the motorcycle. Note: Round to the nearest hundredth. Hint: At the end, remember to consider that the drone is moving towards the motorcycle at kph. Speed cannot be negative. Note: Round to the nearest tenth.

Answers

Answer:

Hello your question is poorly written attached below is the complete question

answer : 166.41 kph

Step-by-step explanation:

Given data :

Drone speed = 180 kph

Altitude of drone  = 1 km

distance of motorcycle from drone = 2 km

distance of motorcycle decreases at  200 kph

calculate the speed in kph of the motorcycle

attached below is a detailed solution of the problem

simplify the expression -2d + -2d - 9 + -9

Answers

Answer:

-4d-18

Step-by-step explanation:

Combine like terms:

-2d and -2d can combine since they have the same variable of d creating the term of -4d and -9 and -9 can combine to create -18. Put those together and you get the answer above.

Answer:

-4d-18

Step-by-step explanation:

Identify the range of the function shown in the graph.
O A. y> 0
O B. -5 sys5
O C. Osys 5
OD. yis all numbers.
PREVIOUS

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the plots and graphs.

Since, the x axis varies from -infinite to +infinite,

here, the y totally varies from -5 to +5,

hence, the option B.) is correct.

===>

[tex] - 5 \leqslant y \leqslant 5[/tex]

Help please !!!! This is really hard

Answers

Answer:

Option -c  :5^ -12  .  2^ 40

Step-by-step explanation:

(  5^6 . 2^8    )( 5^-2  . 2^5 )

(  5^6 . 5^-2  )   ( 2^8  . 2^5 )

5^ -12  .  2^ 40

Option -c :  5^ -12  .  2^ 40

I hope im right!!  

Given 10 shirts, 6 pants, and 4 pairs of shoes to choose from, how many different combinations containing 1 shirt, 1 pants, and 1 pair of shoes are there?​

Answers

9 shirts, 5 pants, 4 pairs.

4 Combinations since the lowest of them is 4.Answer:

Step-by-step explanation:

9 shirts, 5 pants, 4 pairs.

4 Combinations since the lowest of them is 4.

10 cm
a
6 cm
What is the length of the missing leg?
a =
centimeters

Answers

Answer:

10×6

= 60

Step-by-step explanation:

maaf kalau salah

What is the volume of the pyramid in the diagram?
25 cm
h = 15 cm
15 cm
20 cm
OA 1,500 cm
OB. 2,500 cm
OC 4.500 cm

Answers

Answer:

Step-by-step explanation:

Wheres the diagram??

Incomplete q

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