Answer: V ( t ) = 1 + 1 4 e − 0 . 1 0 4 t 1 5 , 0 0 0
The required value for the logistic function describing the scenario of the water tank being filled at a rate of 10.4% per minute.
What is the logistic function?The logistic function has the form:
[tex]f(x) = L / (1 + a \times e^{(-kx)})[/tex]
Where:
f(x) is the volume of the tank at time x
L is the maximum volume the tank can hold
a is a constant that determines the growth rate of the function
k is a constant that determines the rate at which the growth slows down as the tank approaches the maximum volume
In this case, the maximum volume of the tank is 15,000 gallons, so L = 15,000.
The pump fills the tank at a rate of 10.4% per minute, so k = 0.104.
To find the value of a, we need to solve the logistic equation for a given the values of f(x), L, and k.
We can rearrange the logistic equation to solve for a:
[tex]a = (1 / f(x)) - (1 / L) \times e^{(kx)}[/tex]
Substituting the known values into this equation, we get:
[tex]a = (1 / 1,000) - (1 / 15,000) \times e^{(0.104x)}[/tex]
This equation can be used to solve for the value of a for any given value of x (time). For example, if we want to know the value of an after 10 minutes, we can substitute x = 10 into the equation to get:
[tex]a = (1 / 1,000) - (1 / 15,000) \times e^{(1.04)}[/tex]
This gives us the value of a for the logistic function that describes the scenario of the water tank being filled at a rate of 10.4% per minute.
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I hate how i have to write things here
Answer: Question 1 is m=-7/4
Question 2 is -4 as the y axis where it intercepts and the other coordinate is (3,-2)
Step-by-step explanation:
Which would be the first step for solving the equation x + 2 = 18?
A. add - 2 to both sides of the equation
B. add 18 to both sides of the equation
c.
divide both sides of the equation by
7
16
D
multiply both sides of the equation by
7
Answer:
A. Add -2 to both sides
Step-by-step explanation:
The reason you need to add -2 to both sides is because if you add -2 to -2 it cancels out and you are left with x=18. But you need to add -2 to 18 too because them the equation won't be equal anymore.
Find an overestimate for 33 x 67 by adjusting each factor up to the next ten.
Answer:
210 is my estimate
Step-by-step explanation:
A headache medicine has a flush rate of 25% after 24hrs since a patient took it. James was prescribed a 35mg dose of the medicine. How much mg of the medicine will be in James' bloodstream at the start of day 6?
a
61.25mg
b
80.94mg
c
115.08mg
d
132.12mg
Which equation shows the variable terms isolated on one side and the constant terms isolated on the other side for the equation 3х-5=2x+ 10?
Ox= 5
О-5а Х
O-15 = -5x
O-5х = 15
Suppose the ratio of girls to boys in your school is 19:17. There are 1908 students altogether. Write and solve a system of equations to find the total number of boys and girls in the school.
Answer:
901 boys and 1007 girls
Step-by-step explanation:
let b be the number of boys
let g be the number of girls
[tex]b + g = 1908\\17g = 19b\\g = \frac{19}{17} b\\b+\frac{19}{17} b = 1908\\2\frac{2}{17}b = 1908\\b = 901\\901 + g = 1908\\g = 1007[/tex]
David can jog 3.5 miles in 75 minutes. What is David’s jogging rate per hour?
PLEASE SHOW YOUR WORK!!!!
will give brainliest!
Someone help, I don't understand what trig ratio to use, or how to get the answer to w or x
Answer:
Uhm I think you need to like times the 10 to the 56? erm yeaaaaaaa SOrry if you get it wrong
Step-by-step explanation:
Answer:
1:2
Step-by-step explanation:
56*10= 560
34+56= 90
90*10= 900
X is about 2 times the size of W so it would be
1:2 (W:X)
I think i am right, i may be wrong i haven't exactly learned this yet, i am just going off by what i know. sorry if i am wrong
will give brainliest! number 4 it’s the pythagorean theorem
How many roots does y=3x^2+8 have?
Answer:
This quadratic has two unequal, imaginary roots.
Step-by-step explanation:
y = 3x^2 + 8 is a quadratic function, and (like all quadratics) it has two roots. In this case they happen to be different (unequal), as well as imaginary.
Setting y = 3x^2 + 8 = 0, we get:
3x^2 = -8, or
x^2 = -8/3
Taking the square root of both sides, we get
x = ±i√(8/3) (2 imaginary roots)
Write an expression for the area and perimeter for the figure shown.
I WILL GIVE THE BRAINLIEST IF YOU CAN ANSWER THIS
Representa en la recta numérica los siguientes grupos de números enteros e identifica entre ellos cual es el menor y el mayor. a). (-8, -6, -7, 3) b). (-9, -5, 2, 5,9) c). (-1, -8, - 5, -3, 1) d). (12,-5,0,-1,-10)
Answer:
sorry but i don't understand.
Step-by-step explanation:
What is the height of a cylinder with a volume of 384x cubic inches and a radius of 8 inches? Round to the nearest tenth of an inch. inches
Answer: what's the x after 384?
Step-by-step explanation:
19+23=2X-2
Someone help me pleaseeeeeeeeeeeeee
Answer:
x = 22
Step-by-step explanation:
19+23=2X-2
42 = 2x - 2
-2x = -2 - 42
-2x = -44
x = 22
hope this helps
Find the measure of Arc XY.
Answer:
arc XY = 46°
Step-by-step explanation:
the arc of an inscribed angle is equal to 2 x the inscribed angle
mXY
2m<XZY2(23)46°The ratio of dogs to cats at a pet store is 11: 4. If there are 90 total pets (dogs and cats), how many cats are there?
Answer:
number of cats
[tex]90 \times \frac{4}{15} \\ 24cats[/tex]
You may borrow up to 2.5 times your annual income. Arianna is buying a home. Her weekly income is $900. What is the maximum amount that she may borrow?
Answer: $117,000
Step-by-step explanation:
The maximum that Arianna may borrow is 2.5 times her annual income.
First step therefore, would be to calculate her annual income:
= 900 * 52 weeks
= $46,800
She may borrow 2.5 times this:
= 46,800 * 2.5
= $117,000
Brainly reward!!!!
What's the area of the gray shape?
PLEASE HELP ME WITH ALGEBRA! THANK YOU
Answer:
She will do 61 sit ups.
Step-by-step explanation:
The number of situps are increasing by 4 each day.
So at this rate...
Day 6: 37
Day 7: 41
Day 8: 45
Day 9: 49
Day 10: 53
Day 11: 57
Day 12: 61
x = -0.25 and y = -6
Solve the expression: xy
Answer:
If x = -0.25 and y = -6 then we have -6(-0.25) = 1.5
Hope this helps!
Triangle congruence and similarity. PICTURE INCLUDED* SAS, SSS, ASA, or AAS
Answer:
Yes. SSS
Step-by-step explanation:
The dilation factor is to multiply by 3, from the smaller to larger triangle. This proves they are similar.
AA is not an accurate postulate.
Please help me with this cuz I don't know what to do
Answer:
x = 3
Step-by-step explanation:
Can someone help me please I will give brainleast just please help me out
Question 5
Flat fee = $6
Question 6
The group should charge $65 for 15 bags of leaves.
Question 7
The relationship between the amount charged and the number of bags filled is linear.
Need help :::::::::::::::::
Answer:
2/3
Step-by-step explanation:
First, we read the two points with circles off the graph.
They are (-4, -5) and (5, 1).
slope = (y2 - y1)/(x2 - x1) = (-5 - 1)/(-4 - 5) = -6/(-9) = 2/3
Answer: 2/3
Please help me complete it PLEASE ASAP!!!!!!!!!
help plz helpppppppppppp plzzzzzzzzz
it's 5 days, if you need an explanation feel free
Answer:
5 days
Step-by-step explanation:
for 100 people------------ last for 8 days
for 1 person-----------------last for 8x100=800 days
Therefore, for 160 people----------------last for(800/160)=5 days.
It 16x = (141)²-(109)², then
the value of x is.
(a). 150
(b). 500
(c). 600
(d). 32
Answer:
b) 500
16x = (141)^2 - (109)^2
or, 16x = 19881 - 11881
or, x = 8000/16=500
Interest earned: $84
Principal: 600
Interest rate: 7%
Time: ?
Answer:
2 years
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 7%/100 = 0.07 per year,
then, solving our equation
t = 84 / ( 600 × 0.07 ) = 2
t = 2 years
The time required to
accumulate simple interest of $ 84.00
from a principal of $ 600.00
at an interest rate of 7% per year
is 2 years.
Can I please have help with question 2) a and b
Answer:
[tex]\frac{10\sqrt{6} }{3}[/tex] and [tex]\frac{11\sqrt{3} }{3}[/tex]
Step-by-step explanation:
(a)
A = [tex]\frac{1}{2}[/tex] × 4[tex]\sqrt{2}[/tex] × [tex]\frac{5}{\sqrt{3} }[/tex]
= 2[tex]\sqrt{2}[/tex] × [tex]\frac{5}{\sqrt{3} }[/tex]
= [tex]\frac{10\sqrt{2} }{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex] ← rationalise the denominator
= [tex]\frac{10\sqrt{6} }{3}[/tex] units²
(b)
Using Pythagoras' identity in the right triangle
let hypotenuse be h , then
h² = (4[tex]\sqrt{2}[/tex] )² + ([tex]\frac{5}{\sqrt{3} }[/tex] )²
= 32 + [tex]\frac{25}{3}[/tex]
= [tex]\frac{96}{3}[/tex] + [tex]\frac{25}{3}[/tex]
= [tex]\frac{121}{3}[/tex] ( take the square root of both sides )
h = [tex]\sqrt{\frac{121}{3} }[/tex] = [tex]\frac{11}{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex] ← rationalise the denominator
h = [tex]\frac{11\sqrt{3} }{3}[/tex]
Sarah is creating a triangular birthday card for her teacher. In order to glue lace
around the outside of the card, Sarah needs to know the length of each side. She
knows that two of the sides measure 4 inches and 9 inches. Between which two
numbers must the third side of the card fall?
Answer:
6-12.
Step-by-step explanation:
Between 6 to 12 two numbers must the third side of the card fall.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
We are given that Sarah is creating a triangular birthday card for her teacher.
Thus in order to glue lace around the outside of the card, Sarah needs to know the length of each side.
It should be known that two of the sides measure 4 inches and 9 inches.
Therefore, in between 6 to 12 the third number must be lie.
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