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?
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]
62
.
52
=
27
.
39
+
t
Answer:
t = 35.13
Step-by-step explanation:
Simplifying
62.52 = 27.39 + t
Solving
62.52 = 27.39 + t
Solving for variable 't'.
Move all terms containing t to the left, all other terms to the right.
Add '-1t' to each side of the equation.
62.52 + -1t = 27.39 + t + -1t
Combine like terms: t + -1t = 0
62.52 + -1t = 27.39 + 0
62.52 + -1t = 27.39
Add '-62.52' to each side of the equation.
62.52 + -62.52 + -1t = 27.39 + -62.52
Combine like terms: 62.52 + -62.52 = 0.00
0.00 + -1t = 27.39 + -62.52
-1t = 27.39 + -62.52
Combine like terms: 27.39 + -62.52 = -35.13
-1t = -35.13
Divide each side by '-1'.
t = 35.13
Simplifying
t = 35.13
hope it helps !!!!!!!!!!! :)
What is the value of x?
125°
O 35
O 55
O 65
O 125
Answer:
55
Step-by-step explanation:
125+55=180
or
180-125=55
Answer:
Angle x is
Step-by-step explanation:
Angle xis equal to 125(alternate angle)
2. Solve: 10 - 5m = 25
7
3
о
-3
Please help
Answer:
-3
Step-by-step explanation:
subtract 10 to the 25 so that cancels out the 10, you are left with -5m=15, then you divide the -5m by -5 to cancel it out on both sides. that leaves you with m by itself and once you do the division of 15 by -5 the result is -3
Who is smart enough to know this answer ?
Money is shared between Sam and Sophie in the ratio 4:7 Sam gets 120 how much money does Sophie receive?
Answer:
sophie receives £210
Step-by-step explanation:
120÷4=30
30x7=210
given F=(10,12,14,16),calculate the number of sunset F
Answer:
1341
Step-by-step explanation:
10 1 2 3 1 4 1 4 1 4
Find the volume of each prism 6B+4 3/4H+ 6L in. WHOEVER ANSWERS FIRST GETS 30 PTS!!!!
Answer:
Okay, im sorry i have no idea how to work dis
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
Y – X= -5
Answer:
Submit Answer
attempt 1 out of 2
jul used one bag of flour. She baked two loaves of bread. Then she used the remaining flour to make 48 muffins. How much flour was in the bag when Makenzie began? Use the chart to help you solve the problem.
Recipe
Amount of flour needed
Bread
2 ¼ cups per loaf
Muffins
3 ¼ cups per 24 muffins
Pizza
1 ½ cups per pie
Answer:
momdhwdjwbdjwbdjwbdjwbdjwbd a amamamamamamama
Step-by-step explanation:
Mikas diner sold 70 milkshakes last week. 9% of the milkshakes had whipped cream on top. How many milkshakes with whipped cream were sold?
Step-by-step explanation:
I hope u got ur answer ;)
if u have any more doubt ask me
Answer:
7 milkshakes
Step-by-step explanation:
10% divide 70 = 1%
10 divede 70 is 7
1% is 7
9 times seven is 7 is 63
70-63 is 7
hope it helps
Jamie wants to treat some friends to lunch. He has $40 and knows the lunch will cost about $7 per person p. How many people can Jamie buy lunch for.
Answer:
5 people
Step-by-step explanation:
40/7=5.71
Thats not enough for 6 people so you go down to 5 people, you can't have 5.71 of someone
Which of the following is NOT a rate?
A
6 meters per second
O
B. 15 dollars per hour
C. 3 seconds per second
D. 2 dollars per pound
Answer:
c
Step-by-step explanation:
now are you going to get 3 seconds out of a second
Answer:
C
Step-by-step explanation:
C dosen't even make sence, so I think it is C.
look at pic
14 points
Answer:
The Second One I Think
Step-by-step explanation:
By what I understand that would be the one that is in standard form
help me please i need help
Answer:
220.5 ft²
Step-by-step explanation:
Hello There!
To find the area of the figure we want to split the figure into two shapes that a formula can easily be used to calculate their area
We split it into a rectangle with a length of 12 and a height of 14
and we split it into a trapezoid with base lengths that are equal to 7 and 14 and a height of 5
Now we can easily solve for the area
for the rectangle we use the formula
[tex]A=lw[/tex]
where l = length and w = width
[tex]a=12*14\\12*14=168\\a=168[/tex] so the rectangles area is 168 ft²
Now let's solve for the trapezoid's area
To calculate the area of the trapezoid we use the formula
[tex]A=\frac{a+b}{2} h[/tex]
where a and b = the bases and h = height
all we have to do is plug in the values
[tex]a=\frac{7+14}{2} 5\\7+14=21\\\frac{21}{2} =10.5\\10.5*5=52.5[/tex]
so the area of the trapezoid is 52.5 ft²
Now we just add the two areas together
52.5+168=220.5
so the total area of the figure is 220.5 ft²
At a picnic, there is a 5-gallon drink
dispenser filled with juice. Juice is served
in cups that each hold 8 fluid Ounces when
they are full. What is the greatest number
of cups that can be served?
Answer:
80 cups
Step-by-step explanation:
There are 640 ounces in 5 gallons so,
640 divided by 8 equals 80, therefore,
The greatest number of cups that can be served are 80
Griffins's driveway is 30 feet long.
Choose the word and number to complete the sentence correctly.
To convert 30 feet to yards
?
30 by
?
.
Answer:
10 yards
Step-by-step explanation:
2 over 3 of 1 half =????
Answer:0.33333333333
Step-by-step explanation:no need
A rectangular table measures 1 yard by 4 yards. What is the surface area of the table
For a rectangular solid with length 14 14 cm, height 17 17 cm, and width 9 9 cm
Answer:
5 yard
Step-by-step explanation:
5
3 - n = 9
algebra what does n =
f (n) = 65 - 100n
f (39) =
f(39)=65-100(39)
65-3900
= -3835
Help plssss i beg i'm lost
The security code to your home security system includes three single digit numbers 2.
and two letters. Repetition is allowed for the numbers but not allowed for the letters.
There is about 866 possible combinations. (please mark brainiest)
What is the measure of AC?
Answer:
a. 122 degree is the answer
I'm gonna send you a picture of it
Answer:
Of whaT?
But thanks for the free points
help someone please
What is the aspect ratio of a photograph that is 10 inches wide and 8 inches high?
Answer:
5:4
Step-by-step explanation:
10/2:8/2= 5:4
Someone help please I can’t seem to get this one and its my last one
Answer:
345 cm squared I believe
I'm not 100% sure
How to Simplify 9:27
simply divide the numerator and denominator by 9 (the GCF). So, 927 = 9÷927÷9 = 13. Thus, 927 is equivalent to 13 in the reduced form.
Answer:
It's simplified form is 1:3
Step-by-step explanation:
1st step: Convert them into fraction i.e.
[tex] \frac{9}{27} [/tex]
2nd step: Now check for their HCF i.e 9 so,
[tex] \frac{9 \div 9}{27 \div 9} [/tex]
And divide it with both the numerator and denominator and the result is,
[tex] \frac{1}{3} [/tex]
3rd step: Now convert them into ratio i.e
1:3
Hence, 9:27 simplified format is 1:3 (Ans)
2.386 rounded to the nearest tenth
Answer:
Los números decimales son una combinación de números enteros y números que se encuentran entre los números enteros. A veces es importante poder comparar decimales para saber cuál es mayor. Por ejemplo, si alguien corrió los 100 metros planos en 10.57 segundos, y alguien más los corrió en 10.67 segundos, puedes comparar los decimales para determinar qué tiempo es más rápido. Saber cómo comparar decimales requiere el entendimiento del valor de posición decimal, y es similar a comprar números enteros.
Cuando trabajamos con decimales, hay veces que no se necesita un número preciso. En tal caso, es útil redondear números decimales. Por ejemplo, si la bomba de una gasolinera muestra que llenaste el tanque del carro de un amigo con 16.478 galones de gasolina, podrías querer redondear el número y decirle a tu amigo que le pusiste 16.5 galones.
Step-by-step explanation:
Otra forma de comparar decimales es comparar los dígitos en cada número, empezando con el lugar de posición mayor, que es el de la izquierda. Cuando un dígito en un número decimal es mayor que el dígito correspondiente en el otro número, entonces ése número decimal es mayor.
Por ejemplo, primero compara los dígitos de las décimas. Si son iguales, continúa con el lugar de las centésimas. Si esos dígitos no son iguales, el decimal con el dígito mayor es el número decimal mayor. Observa cómo se hace esto en los ejemplos siguientes.