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3 years ago

What fraction is equivalent to 4 12?

Mathematics

2 answers:

nikdorinn [45]3 years ago

6 0

Is the fraction 4/12??

miskamm [114]3 years ago

6 0

Answer:

1/3

Step-by-step explanation:

1/3, 2/6, 3/9, 4/12.

are equivalent fractions. Equivalent fraction of a given fraction is got by multiplying or dividing its numerator and denominator by the same whole number.

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Step-by-step explanation:

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3 years ago

Find the 40th term of this arithmetic sequence.

Allisa [31]

199 is the answer because the equation you use is an=a1+d(n-1). Where an (the n is actually supposed to be smaller than the a) is the nth term (a40), a1 (1 smaller than a) is the first term (4), d is the difference (5), and n is the number of the term you're looking for (40)

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3 years ago

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

The 2nd one is right just did the test

Vikki [24]

Answer:

ok lol

Step-by-step explanation:

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3 years ago