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?
Answers
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
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
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)
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
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°
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.
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.
Graph the function.
h(x)=1/3x^2 + 2x - 4
Answers
Answer:
this should be right
Step-by-step explanation:
What is the next number in the sequence below?
1 3 5 7
Answers
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.
4 adults and 3 children to go to a show how much is if for the 4 adults
Answers
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
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
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
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 :)
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.
because 6/1 x 1/7 is 6/7
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!
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.
help please bdhsfhisbf
Answers
Second question answer: July
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:
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:
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:
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!
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
34.50+3.28= 37.78
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
----------------------------
Which expression is equivalent to (3-4)+5
Answers
Answer:
4
Step-by-step explanation:
(3-4)+5
-1+5
4
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:
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
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 :) ...
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
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]