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

Help please I give brainliest

Answers

Answer:

A) No Association

Step-by-step explanation:

Your shoe size and your math grade have nothing whatsoever to do with each other, so the answer would be No Association.

Hope it helps!

Look at this number sentence.
6 x ⬛️ =6/7
Which fraction makes the number sentence true?

A. 1/7
B. 1/6
C. 6/7
D. 7/1

Answers

Answer:

1/7

Step-by-step explanation:

You have to multiply across the top then the bottom.

A) 1/7
because 6/1 x 1/7 is 6/7

Please help! It would mean a lot! I will give brainliest!
Prove your answer as to why 5 mm, 10 mm, and 1 mm will or will not form a triangle.

Answers

Answer:

Step-by-step explanation:

10-5=5 and 10+5=15 so it would need to be greater than 5 and less than 15 for those two

For 5 and 1 to work

5-1=4 and 5+1=6 so it would need to be greater than 4 and less than 6

And 10-1=9 and 10+1=11 so it would need to be greater than 9 and less than 11

Is all of these solutions 5,10,and 1 wouldn't work

Answer choices
79in
158in
103in
118in
164in

Answers

it's 158 inches

----------------------------

Answer this correctly I’ll give brainalist + 10 points

Answers

the sum of supplementary angles is 180 degree

therefore

x +2x = 180°

3x = 180

X = 180/3 = 60°

the value of X is 60°

The set of whole numbers contains the set of rational numbers.
Every square root is a rational number
The integers are closed under addition.
True or False?
If false provide a counterexample.

Answers

Answer:

false -- 2/3 is not a whole number

true -- a terminating decimal is like 0.35 which is 35/100

false

true

so, 2 out of 4.

I Need help on this question

Answers

Answer:

I’m sorry, can you please tell me the options for the drop down menu. Thanks, I will edit my answer when you do.

Step-by-step explanation:

Cora babysat for 3 1/2 hours and charged at $28. At the same hourly rate, what would she charge for 5 1/2 hours of babysitting?

Answers

42.9 goodluck :) ...

What is the next number in the sequence below?

1     3     5     7​

Answers

It’s looks like your adding 2 so the next number would be 9 because 7 + 2 = 9
Hope this helps! Have a great day :)

Answer: 9

Step-by-step explanation:

It's odd numbers. Also the pattern is counting by 2 every time.

X
the sum of first ten numbers prime numbers​

Answers

Answer:

Step-by-step explanation:

2 3 5 7 11 13 17 19 23 29

The sum = 129

Which of the following is not True.

A. Angle 1 and Angle 8 are alternate exterior angles.

B. Angle 8 and Angle 4 are corresponding angles.

C. Angle 3 and Angle 2 are Vertical Angles.

D. Angle 5 and Angle 3 are Alternate Exterior Angles.​

Answers

D. Angle 5 and Angle 3 are Alternate Exterior Angles.​This Statement is false, they are co - interior angles.HOPE IT HELPS !!!

Patty's pet puppy, Oreo, liked to lie down on a small carpet by the door. The
carpet was 1 { feet long and 3 feet wide. What is the perimeter of the
carpet?

Answers

You add all the sides up incense it is a rectangle I would do 1+1 which equals two then you do 3+3 which equals six then you add 6+ 2 your answer is eight

If Tony Has 30 cookies, 10 sodas, and 20 lollipops and he eats 10 cookies, drinks 5 sodas and 10 lollipops, what does he have now?

A: Diabetes
B: No self control
C: Hypertension
D: All of the above

Answers

Answer:

C: Hypertension

Step-by-step explanation:

I'd say Hypertension would be the only educational way to answer this question in a scientific way. As u can see cookies,lollipops and sodas have a lot of sugar which could cause high blood pressure.

c) 20 blank CD-Roms cost £3.20
How much do 75 CD-Roms cost?

Answers

Answer:

the cost of 75 CD Roms is £12

Step-by-step explanation:

The computation of the 75 CD roms cost is shown below:

Since it is mentioned that

for 20 blank CD roms it cost £3.20

So for 75 CD Roms, the cost would be

= £3.20 × 75 ÷ 20

= £12

Hence, the cost of 75 CD Roms is £12

help please bdhsfhisbf​

Answers

First question answer: August and September

Second question answer: July

Which expression is equivalent to (3-4)+5

Answers

Answer:

4

Step-by-step explanation:

(3-4)+5

-1+5

4

The area of a circle is 4πm2 What is the circumference , in meters ? Express your answer in terms of π​

Answers

Answer:

4(pie)m^2

Step-by-step explanation:

area of a circle is r^2(pie)

so if the area of the circle is 4(pie) set that equal to r^2(pie)

the pies' cancell

and you are left with 4=r^2

r=2

now the formula for the circumference is

2r(pie)

insert 2 for r

2(2)(pie)

4(pie)m^2 is the circumference

Hope that helps :)

The “Chippy” brand of chips cost $2.30 per bag. The “Crunchy Goodness” chips cost $6.30 for 3 bags of chips. Which bag has a lower unit price?

Answers

Answer: The chippy brand

Step-by-step explanation: Since 3 bags for the crunchy goodness is 6.30 dollars, we don;t need to worry about that. SO, lets see how much money is 3 bags from the chippy brand.

2.30 x 3 = 6.90

Chippy: $6.90

Crunchy Goodness: $6.30

Now that we compared the Chip brans, its obvious that crunchy goodness is cheaper

Answer:

The crunchy goodness chips.

Step-by-step explanation:

If the crunchy goodness chips cost $6.30 for 3 bags and the chippy chips cost $2.30 for each bag, you do $2.30 times 3. That equals 6.90. So, $6.30 is less than $6.90 meaning that crunchy goodness chips have a lower price.

More trig questions! Given that sin(C) = cos(B)Find the measure of ∠C if m∠C=10x+4 and the m∠B = 4x+2

Answers

Answer:

angle C = 64 degrees

Step-by-step explanation:

sin C = cos B

angle C = 10x+4

angle B = 4x+2

angle C + angle B = 90 degrees

10x+4 + 4x+2 = 90

simplify:

14x+6 = 90

14x = 84

x = 6

angle C = 64 degrees

Valeria and Christina both want to run for class president. In order to appear on the ballot,
they must collect a certain number of signatures. So far, Valeria has 26 signatures and
Christina has 53. Now, Valeria is collecting signatures at a rate of 6 per day, whereas
Christina is collecting 3 signatures per day.
Assuming that their rates stay the same, the two will eventually collect the same number of
signatures. How many signatures will they both have at that time? How many days will it
take?

Answers

Answer:

10 days

Step-by-step explanation:

Use the figure for 1-4.
E
HT
F
K
А
D
B
2. Use geometry notation to identify a ray.

Answers

Answer: the ray is K to A

Step-by-step explanation: a ray can be defined as a part of a line that has a fixed starting point (being K) but no fixed end point

(I would like to see the answer choices please)

Why is trig like this?? B:What is the appropriate trig ratio that can be used to solve for x? C:Write the equation

Answers

Answer:

sin

sin 20 = x/15

15 sin 20 =x

Step-by-step explanation:

We want to find the opp/ hyp

sin 20 = opp / hyp

sin 20 = x/15

15 sin 20 =x

4 adults and 3 children to go to a show how much is if for the 4 adults

Answers

How much do the tickets cost?

Graph the function.
h(x)=1/3x^2 + 2x - 4

Answers

Answer:

this should be right

Step-by-step explanation:

Allison lives in Kansas City, which has coordinates of 39o5'59" N, 94o34'41 W (39.0997o N, 94.5783o W). (Earth's radius is 3950 miles). What is Allison's angular velocity in radians/hour? What is Allison's linear velocity, with respect to the center of earth in miles per hour?

Answers

Answer:

Allison's angular velocity is approximately π/12 radians/hour

Allison's linear velocity, with respect to the Earth, v is approximately 802.52 miles/hour

Step-by-step explanation:

The coordinates of Kansas City where Allison lives = 39°5'5'' N, 94°34'41''W (39.0997° N, 94.5783° W)

The radius of the Earth, R = 3950 miles

The rate of rotation of the Earth ≈ 2·π radians in 24 hours

The angular velocity of the Earth, ω ≈ 2·π/24 radians/hour ≈ π/12 radians/hour

The angular velocity of the Earth = Allison's angular velocity ≈ π/12 radians/hour

Allison's angular velocity, ω ≈ π/12 radians/hour

Allison's radius or revolution with respect to the axis of the Earth, r = 3950 miles × cos(39.0997°) ≈ 3,065.39635 miles

The linear velocity, v ≈ ω × r

∴ v ≈ π/12 radians/hour × 3,065.39635 miles = 802.518887792 miles/hour

Allison's linear velocity, with respect to the Earth (0 linear velocity), v ≈ 802.52 miles/hour

three million four hundred
ninety-three thousand
Word form

Answers

Answer:

You are correct, the number 3,493,000 is written in word form in your question.

Step-by-step explanation:

Solve for x................

Answers

Answer:

x = 17

Step-by-step explanation:

Use the interior angle sum theorem which says:

if n is the number of sides the sum of the interior angles is 180(n-2)

there are 6 sides, so the interior angle sum is 180(6 - 2) = 180 * 4 = 720.

This means that if you add all the angles you will get 720, so:

[tex]110 + 8x - 1+5x+36+116+7x+19+6x-2=720[/tex]

[tex]26x+278=720\\26x = 442\\x = 17[/tex]

WILL MARK BRAINLIEST ONLY HAVE 5 MINUTES EXTRA POINTS

Answers

Answer:

A - 8 out of 71

Step-by-step explanation:

I’m guessing a, if I’m right can you mark brainliest!

5. A football team plans to raise ticket prices next season by 9.5%. If each football admission ticket
costs $34.50 this season, approximately how much will an admission ticket cost next season?

Answers

9.5% x 34.50= 3.28
34.50+3.28= 37.78

In ADEF, the measure of ZF=90°, the measure of ZE=53°, and DE = 57 feet. Find the
length of FD to the nearest tenth of a foot.
E
539
57
F
D
X

Answers

Answer:

Check pdf

Step-by-step explanation:

Other Questions
This is 10 points plz help ( NO LINKS )( ONLY ANSWER THIS IF YOU HAVE AN EXPLANATION AND IF YOU KNOW WHAT THE ANSWER IS) QRS~TUV. what is the measure of V? pls give answer with formulas and steps 4/9 -5/7 Severe storms all have extremely strong winds that can cause a lot of environmental damage.Which storm below has the strongest winds? How did Mughal Empire became so weak? Apply the Distributive Property to Simplify the Expression9 (4 1/3) what will you do to keep the community healthy Type the answer in the box. r = 4 b = 6 d = 5 What are the missing y values in the table OLZ HELP 15 points WILL MARK BRAINLIEST IF CORRECT Which expressions are equivalent to 9+h+(j+k)? Check all that apply.9+(1+y)+k(g+h) +jk(g+n) +j+k9+(hj)+kgh+jk(h+])9+h(j+k) Some countries like China have instituted population control measures. Do you think countries should try to limit their population growth? Why or why not? Are there consequences with limiting growth? One of the main themes in The Interlopers is natures indifference to man. Give two pieces of text evidence to support this theme. What idea is introduced in the firstparagraph of this passage?Many experts think everyone shouldlearn at least one additional language.It is vital to speak at least twolanguages to keep up with the rest ofthe world.Learning another language might beO hard, but many experts agree it isworth the workSpeaking more than one language isnot only impressive, it is also exciting. PUT YOUR EMAIL IN THE COMMENTS IF BLACK LIVES MATTER I NEED TO SEND OUT A PETITION YOU SHOULD SIGN IF YOU ACTUALLY SUPPORT IT!!! BLACK LIVES MATTER Suzy is shopping at a book sale.The table show prices for paperback books. If a ball is rolling down a hill, it has both kinetic and potential energy. The ball has38 J of potential energy because of its height and 80J of kinetic energy becauseof its motion. How much mechanical energy does the ball have Which of the following are possible solutions for the inequality ?? people saw the tiger in the wood change voice into passive voice buatlah sebuah puisi doa untuk bangsa I need somebody to help me with this question Ill give points!Please help no funny business