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3 years ago

Please help me with this homework

Mathematics

2 answers:

Nady [450]3 years ago

7 0

Answer:

Rational

Step-by-step explanation:

The number comes to a stop (doesn't keep going), so it would be rational.

a_sh-v [17]3 years ago

7 0

Answer:

3.5 is a rational number

Step-by-step explanation:

Irrational numbers are numbers that keep on going forever like pi (π). Or numbers like these..... $\sqrt{72} , \sqrt{2} , \sqrt{\frac{8}{23} }$

Those are non-recurring numbers and non-terminating decimal numbers

Rational numbers are numbers that can be written as a simple fraction or ration, and 3.5 can be written as a simple fraction...

7/2 = improper fraction (3.5 as a decimal)

3 1/2 = mixed number (3.5 as a decimal)

Hope this helped!

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If y=e5t is a solution to the differential equation

a_sh-v [17]

Answer:

k = 30, $y(t) = C_1e^{5t}+C_2e^{6t}$

Step-by-step explanation:

Since $y=e^{5t}$ is a solution, then it must satisfy the differential equation. So, we calculate the derivatives and replace the value in the equation. We have that

$\frac{d^2y}{dt^2} = 25 e^{5t},\frac{dy}{dt} = 5e^{5t}$

Then, replacing the derivatives in the equation we have:

$25e^{5t}-11(5)e^{5t}+ke^{5t}=0 e^{5t}(25-55+k) =0$

Since $e^{5t}$ is a positive function, we have that

$25-55+k = 0 \rightarrow k = 30$ .

Now, consider a general solution $y(t) = Ae^{rt}, A \in \mathbb{R}$ , then, by calculating the derivatives and replacing them in the equation, we get

$Ae^{rt}(r^2-11r+30)=0$

We already know that r=5 is a solution of the equation, then we can divide the polynomial by the factor (r-5) to the get the other solution. If we do so, we get that (r-6)=0. So the other solution is r=6.

Therefore, the general solution is

$y(t) = C_1e^{5t}+C_2e^{6t}$

8 0

3 years ago

What the circumference of a circle with a diameter of 25 inches use 3.14 for pi?

Snowcat [4.5K]

Answer:

78.5 inches

Step-by-step explanation:

The formula for the circumference of a circle is $\pi d$ .

So the circumference of this circle is $3.14*25=78.5$ (in)

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2 years ago

HELP NEEDED ASAP!!<br><br> Would it be 28.07 or 28 when its says type numerical answer only.

Marizza181 [45]

I think it would be 28

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3 years ago

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alexgriva [62]

Answer:

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Step-by-step explanation:

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4 years ago

Read 2 more answers

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prisoha [69]

Answer:

Step-by-step explanation:

The first term is 2

Therefor t₁ = 2

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That's the second choice

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3 years ago