Answer:
The possible equation is; T(t) = 20 + 80·[tex]e^{(-0.094 \cdot t)}[/tex]
The horizontal asymptotes is Lim(t → ∞), T → 20°C
The vertical asymptote is Lim(t → 0) T → 100°C
Step-by-step explanation:
The given parameters are;
The temperature of the house = 20°C
The initial temperature of the tea = 100°C
The temperature of the tea after 5 minutes = 70°C
From Newton's law of cooling, is given as follows;
[tex]T(t) = T_s + (T_0 - T_s) \cdot e^{k \cdot t}[/tex]
[tex]\dfrac{dT}{dt} = -k(T - T_a)[/tex]
Where;
T(t) = The temperature after time, t =
[tex]T_s[/tex] =The room temperature = 20°C
T₀ = The initial temperature of the tea = 100°C
k = Constant
T(5) = 70°C, therefore, we have;
[tex]70 = 20 + (100 - 20) \cdot e^{k \cdot 5}[/tex]
50/80 = [tex]e^{k \cdot 5}[/tex]
5·k = ㏑(5/8)
k = ㏑(5/8)/5 ≈ -0.094
Therefore, the possible equation is given as follows;
T(t) = 20 + 80·[tex]e^{(-0.094 \cdot t)}[/tex]
The asymptotes are Lim(t → ∞), T → 20°C and Lim(t → 0) T → 100°C
Can you guys help me plz
Answer:
Step-by-step explanation:
The scale factor is 2
A pair of sneakers cost $40 and there is a 30% markup rate. Find the selling price of the sneakers
Answer:
52 dollars
Step-by-step explanation:
40 times 1.3= 52
How many buckets have one full gallon of water?
Answer:
four just count the circles above the one
A store buys for 12$ each and marks up the price 25% what's is the price for a shirt at the store?
Answer:
$15
Step-by-step explanation:
25% of 12 is 3 so just add that to the original value
Answer:
$15
Step-by-step explanation:
Multiply the cost by the percentage mark up
12 × 25%
Convert the percentage into a decimal
12 × 0.25
3
Add the mark up to the original price
12 + 3
15
Ms Lemon has $150 to spend on the parking and admission to the zoo.The parking will cost $18, and the admission tickets will cost $16.50 per person, including tax. Write and solve an equation that can be used to determine the number of people that she can bring to the zoo, including herself.
Answer:
Let y be the no. of people she can bring
18 + 16.5y <= 150
Step-by-step explanation:
Answer:
16.5y + 18 = 150
16.5y + 18 = 150
-18 -18
0 132
16.5y 132
16.5 16.5
y = 8
Ms.Lemon can bring 8 people including herself
Step-by-step explanation:
First you are going to rewrite the equation then do the inverse operation of addition. Then, subtract 150 from 18 then you get 132 then you bring down 16.5y and cancel it out by dividing and then you divide 132 by 16.5 and you get 8 so Ms.Lemon can bring 8 people including her self.
Three subtracted from x is greater than or equal to 15.
Answer:
3 - x ≥ 15
Step-by-step explanation:
3 - x ≥ 15
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mhmm..whichuksnackru?..fishnchiips OUHHHOOUUHHYESS SandyROASTthatsevenbaetterthanfishnchips
A frequency distribution is a way to describe categorical data categorically.
O A. True
O B. False
Answer:
Its true
Step-by-step explanation:
make sure too look at the question you have and if its the same one, so if my answer was wrong for you then its because ur question was different from this one.
What are the x-intercepts of the graph of the following function y = 6x to the second power minus 12x - 18
Answer:
it would be 12x 26y doe to the problem
Edge users, Help! Will give brainliest
Answer:
You do not need to get right just get one wrong and it will say demo, then keep doing that.
Step-by-step explanation:
which of the following represents linear growth? check all of the boxes that apply
martins savings account increases because he deposits $25 each week
calis pay increases by 3% per year
each week, an athlete getting into shape loses 2 pounds
mei-lin earns $9 an hour at her job
Answer:
Martin is the answer
Step-by-step explanation:
Incorrect - Martin is putting in $25 a week which means each week his bank is growing by exactly $25
Correct - Cali's pay is exponential since it is increasing each year by a percentage, so not a steady rate.
Incorrect - The athlete's weight is decreasing, so the opposite of growth.
Incorrect - And mei-lin can change how many hours she works so she will get a different amount for the time she works each day.
Hopefully, this helped, have a great day!
brainliest?
what is 5674324 / -6
Answer:
-2837162/3
Step-by-step explanation:
5674324/-6
-5674324/6
-2837162/3
hi guys can you answer my math question 7 and 8
Answer:
7) 2
6
Because there are 2 plain white T-shirt and 4 other T-shirt . So , total T-shirt are 2 + 4 = 6
I don't know the correct answer of 8
I hope it will help you
plz mark me as brainliest
plz thank my answer
What's the answer...I'm kinda lost
Answer:
it would be D
Step-by-step explanation:
because you are reflecting the shape across the x axis
what is the solution and the inequality and the graph
help please! it'll be greatly appreciated
Answer:
B= 17.1
Step-by-step explanation:
The formula for the area of a triangle is BH1/2
The word problem gives you the area and the height
Set the problem:
369.25= 42.4(1/2)(B)
42.4(1/2)=21.2
369.25=21.2B
Divide both sides by 21.2 to isolate the variable
17.41=B
Hope this helps! :)
Question 25. A segment of a circle is the portion formed by the sector and 4 points
a triangle,
True
O False
Answer:
It is false
Step-by-step explanation:
Select the correct answer.
What is the simplified form of ?
A.
B.
C.
D.
Answer: A.
Step-by-step explanation: You were correct the first time!:)
Answer:
A
Step-by-step explanation:
Does anybody know this answer
Answer:
its 90
Step-by-step explanation:
beacuse it is
Answer:
Step-by-step explanation:
Area of sphere is:
[tex]4\pi r^2[/tex]
So, we would have:
[tex]4\pi12^2=4\pi144=452.16\cdot4=\boxed{1808.64}[/tex]
Hope this helps.
A large field measures 70 feet by 25 feet. If the field will be divided into equal square garden plots, what size whoud the largest possible plot be with sides of whole number length?
Answer:
5 feets
Step-by-step explanation:
Give the field dimension :
70 feets by 25 feets
The largest possible size if field is divided into squares :
Obtain the greatest common factor of the length and width :
Factors of 70 : 1, 2, 5,7,14, 10, 35
Factors of 25 : 1, 5, 25
The greatest common factor = 5
Hence, the largest possible square plot will have a side length of 5 feets
Complete the function table.
Answer:
18
Step-by-step explanation:
8+10=18
hope this helps :)
Answer:
18
Step-by-step explanation:
10+8=18.
Kelvin ordered four pizzas for a birthday party. The pizzas were cut into eighths. How many slices were there? (Draw a picture to support your response; please)
Answer:
32 slices are there thankyou
Can someone please help me??? I WILL GIVE YOU 50 EXTRA POINTS IF YOU SHOW YOUR WORK AND DO IT PROPERLY
Test each point to see if it is a solution to -3x + y < 5. Show your work.
a.(0,0)
b.(-3,4)
c.(-2, -2)
Answer:
well i cant explain the anwser but its y < 5 + 3 x
What is the reciprocal of 5 sixths?
pls help need it ASAP
Answer:The reciprocal of 5/6 is found by switching the numerator for the denominator and the denominator for the numerator. That means that the reciprocal of 5/6 is 6/5.
Answer:
1.2
Step-by-step explanation:
that should be it the answer
Rahim bought a car for ₹ 4, 35,000, spent ₹ 55,000 on repairs and sold it for ₹ 5, 50,000. What is his profit?
Please answer and thank you
Introduction please
Answer:
Hello! I am a Percy Jackson fan.
60,000
Step-by-step explanation:
This is because 435000 + 55000 = 490000.
Then, subtract that from 550000.
The shaded section of the strip diagram represents the percent of the number of students that get more than 9 hours of sleep each night. Of the students surveyed, 80 get more than 9 hours of sleep each night. How many students were surveyed?
Answer:
200
Step-by-step explanation:
each square=40
What is the least common multiple of 10 and 35?
Answer:
a multiple of both is 5 ...
Answer:
70
Step-by-step explanation:
10 35
10 35
20 70
30
40
50
60
70
) Evaluate the expression for v = 2.
5v + 3 =
Answer:
13
Step-by-step explanation:
Evaluate the expression for v = 2.
First, plug in 2 wherever v is seen.
5v + 3
5(2) + 3
Next, multiply.
5(2) + 3
10 + 3
Add.
10 + 3
13
Your final answer is 13.
Please let me know if there are any issues with this answer.
Answer:
i think this is algebra
Step-by-step explanation:
The first thing you have to do is open the multiplication parenthesis to substitute V for 2
5v + 3
5 (2) + 3
Now that you have the parenthesis, you multiply and then the result that you add.
5(2) or 5x2= 10 but is better with parenthesis.
10 + 3
=3
I hope this helps.
Melissa has more than 40 coins in her collection which inequality the nuber of coinsin melissas collection
Answer:
X > 40
Step-by-step explanation:
Given that:
Let number of coins in her collection is more Than 40
To represent the number of coins in Melissa's collection as an inequality :
Let total number of items in her collection = X
Coins in her collection > 40
Hence, coins in her collection can be represented as :
X > 40
need a quick answer please
What's the question?
Just tell me and I will edit this answer.
Answer:
ok tell me brahhh
Step-by-step explanation: