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sp2606 [1]
2 years ago
10

Convert the following repeating decimal into a fraction. * 0.497

Mathematics
1 answer:
oksian1 [2.3K]2 years ago
4 0

Answer:

497/1000

Step-by-step explanation:

sorry but that's as simplified as it gets

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2 years ago
Newton’s law of cooling states that dx/dt= −k(x − A) where x is the temperature, t is time, A is the ambient temperature, and k
Vadim26 [7]

Answer:

(a) The solution to the differential equation is x = A_0Coswt + Ce^(-kx)

(b) The initial condition t > 0 will not make much of a difference.

Step-by-step explanation:

Given the differential equation

dx/dt= −k(x − A); t > 0, A = A_0Coswt

(a) To solve the differential equation, first separate the variables.

dx/(x - A) = -kdt

Integrating both sides, we have

ln(x - A) = -kt + c

x - A = Ce^(-kt) (Where C = ce^(-kt))

x = A + Ce^(-kx)

Now, we put A = A_0Coswt

x = A_0Coswt + Ce^(-kx) (Where C is constant.)

And we have the solution.

(b) Since temperature t ≠ 0, the initial condition t > 0 will not make much of a difference because, Cos(wt) = Cos(-wt).

It is not any different from when t < 0.

7 0
2 years ago
Create and describe a function related to your field (or intended field). Give a detailed explanation of the domain (input) and
Andru [333]

An example of a domain that can be illustrated from the information given will be D(x) = 32.

<h3>Domain and range</h3>

An example based on the information given is "A gas tank in John's car can hold 20 gallons of gas and the car gets 32 miles for every gallon".

John fills up the tank and then goes on a trip. In this case, the distance that will be travelled on one tank will be:

D(x) = 32x

In the above function, it should be noted that the number of gallons can be from 0 to 20. Since he gets 32 miles per gallon, the car can travel 640 miles.

In this case, the domain is the number of gallons that can be used. The number of miles will be the range.

Learn more about domains on:

brainly.com/question/2264373

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2 years ago
Translate the following word phrase into nine times the difference of 5 and y
emmasim [6.3K]
Answer: 9 * (5 - y)

Explanation:

Times: multiplication

Difference: subtraction

y: the unknown variable
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3 years ago
A right triangle has a height of 20 cm and a base of 10 cm. What is the area of the triangle? (A = 1/2 bh)
alisha [4.7K]

Answer:

100 because its way too ez

7 0
2 years ago
Read 2 more answers
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