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Umnica [9.8K]
4 years ago
5

Newton’s law of cooling states that for a cooling substance with initial temperature T0 , the temperature T(t) after t minutes c

an be modeled by the equation T(t)=Ts+(T0−Ts)e−kt , where Ts is the surrounding temperature and k is the substance’s cooling rate.
A liquid substance is heated to 80°C . Upon being removed from the heat, it cools to 60°C in 25 min.

What is the substance’s cooling rate when the surrounding air temperature is 50°C ?

Round the answer to four decimal places.



0.0439

0.0532

0.0613

0.0872
Mathematics
1 answer:
Mandarinka [93]4 years ago
8 0
<span>0.0439 this is the answer 

</span>
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7x+7y=42;x how do u solve this problem
Oxana [17]

The slope would be -x+6 & m=-1

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3 years ago
Five less than one third of a number is two more than half of the same number. Find the number.
I am Lyosha [343]
5 less (-5) than 1/3 of number (n/3) is (=) 2 more than (2+) half of the number (n/2)


-5+n/3=2+n/2
add 5 to both sides
n/3=n/2+7
times 6 both sides
2n=3n+42
minus 2n both sides
0=n+42
minus 42 boh sides
-42=n

the number is -42


the number is 18
8 0
3 years ago
Read 2 more answers
The function f(x) = −x2 + 44x − 384 models the daily profit, in dollars, a shop makes for selling donut combos, where x is the n
kakasveta [241]
A)
The vertex can be determined using the completing square method.
f(x) = -(x² - 44x + 384)
= -(x² - 44x + 384 + 22² - 22²)
= -(x - 22)² - 384 + 22²
= -(x - 22)² + 100
The vertex is (22 , 100) and this means that the maximum profit(due to negative sign of coefficient of x) is $100 and is achieved when 22 combos are sold
B) 0 = -(x - 22)² + 100
x - 22 = 10
x = 32
x - 22 = -10
x = 12
This means the shop gains no profit when it sells 32 or 12 combos, and this can be due to the production cost being equal to the money gained via sales.
7 0
3 years ago
What’s the answer to this??
Arte-miy333 [17]
Here...
Hope I could help. :)

4 0
3 years ago
Find the value of GIF(-1.5)
yKpoI14uk [10]

<h2>✒️ANSWER:</h2>

••••••••••••••••••••••••••••••••••••

••••••••••••••••••••••••••••••••••••

<u>When the intervals are in the form of (n, n+1), the value of greatest integer function is n, where n is an integer. For example, the greatest integer function of the interval [3,4) will be 3. The graph is not continuous. For instance, below is the graph of the function f(x) = ⌊ x ⌋.</u>

••••••••••••••••••••••••••••••••••••

••••••••••••••••••••••••••••••••••••

<h3>So its -2</h3>

(/^_^/)

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Brainlilest me

5 0
2 years ago
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