3 years ago

Round 12.5829 to the nearest tenth.

Mathematics

1 answer:

Vikentia [17]3 years ago

3 0

the answer is 12.6 :)

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The area of a square shaped rug is 81 square feet if the rug is 9 feet long what is the perimeter

Yakvenalex [24]

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3 years ago

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Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!!!!!

jeka94

I think this is correct i could be wrong tho

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3 years ago

The cost of 2pounds if potatoes is $3.78 what is the constant of proportionality that represents the relationship between the co

Nana76 [90]

Answer:

The constant of proportionality is 1.89

Step-by-step explanation:

2 pounds = $3.78

1 pound = $3.78/2 = $1.89

Cost y is directly proportional to the pound of potato

y = 1.89x

The constant of proportionality is the cost of 1 pound of potato, and it is 1.89

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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

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

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3 years ago

State whether the number 97 is prime, composite, or neither

pickupchik [31]

Answer:

Prime

Step-by-step explanation:

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3 years ago