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LUCKY_DIMON [66]
3 years ago
13

The rate of change in the temperature T of coffee at time t is proportional to the difference between the temperature M of the a

ir at time t and the temperature of the coffee at time t.Write a differential equation that fits the above description.
Mathematics
1 answer:
Anna11 [10]3 years ago
7 0

Answer:

T'(t)=k(M(t)-T(t))

Step-by-step explanation:

The rate of change in the temperature T of coffee at time t is written as T'(t) (remember derivatives are used to express rates of change, and in our case the rate of change of the temperature T). The difference between the temperature M of the air at time t, and the temperature T of the coffee at time t can be expressed as M(t)-T(t)

Saying that the rate of change in the temperature T is proportional to the difference between M and T is just a way of saying that the rate of change in the temperature T is equal to the difference between M and T, multiplied by some constant k (whose value we don't know, but still that's what it means).

Therefore we get

T'(t)=k(M(t)-T(t))

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the ratios of the sides of a triangle are 3:2:4. if the shortest side is 26cm, what is the length of the longest side?
zalisa [80]
Answer: 52

Divide 26/2 and you get 13, and then multiply 13 by 4. Think of it as a proportion.
4 0
3 years ago
The height of a soccer ball that is kicked from the ground can
AveGali [126]

Answer:

87.5

Step-by-step explanation:

By completing the square,

y

=-14x^2+70x

=-14(x^2-5x)

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the max. height=175/2

i.e. 87.5

8 0
3 years ago
Helppp this is due in an hour!!​
STatiana [176]
First you solve for the area of the unshaded triangle. Use the formula of area of triangle which is 1/2bh to find. 1/2(9)(4) = 18 cm^2. The area of the unshaded triangle is 18cm^2. Now we need to find the area of the rectangle. We can find that by using the formula for area of rectangle which is (b)(h). 12*4 = 48 cm ^2. Now that we have the area of the triangle and the area of the rectangle, we just need to subtract the area of the triangle from the area of the rectangle to get the area of the shaded region. 48 cm^2 - 18 cm^2 = 30 cm^2.

So our answer is: The area of the shaded region is 30 cm^2. In this case it’s option C or the third option for your quiz.
4 0
2 years ago
A true-false examination was constructed with the answers running in the following sequence: T F F T F T F T T F T F F T F T F T
julia-pushkina [17]

Answer:

yes

Step-by-step explanation:

lets use a significance level of = 0.1

<u> Determine if the sequence indicates randomness </u>

First step :

H0 : pattern is random

H1 : pattern not random

n1 ( number of true answers ) = 10

n2 ( number of false answers ) = 10

also number of runs for T = 5

       number of runs for F = 5

Total number of runs = 5+ 5 = 10

Given that critical value at 0.05 = 23

we will reject the null hypothesis ( i.e the sequence departs from randomness )

3 0
2 years ago
What number is in the hundreds place after
Vika [28.1K]

The digit in the hundreds place is 4

From the question, we have

(21 × 10¹)+(3×10²) + (9 × 10²)

=210+300+900

=1410

The digit in the hundreds place is 4 and the value is 400.

Multiplication:

Mathematicians use multiplication to calculate the product of two or more numbers. It is a fundamental operation in mathematics that is frequently utilized in everyday life. When we need to combine groups of similar sizes, we utilize multiplication. The fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The results of multiplying two or more numbers are known as the product of those numbers, and the factors that are multiplied are referred to as the factors. Repeated addition of the same number is made easier by multiplying the numbers.

To learn more about multiplication visit: brainly.com/question/5992872

#SPJ1

6 0
1 year ago
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