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3 years ago

If each cube has edges .5 inches long, what is the volume of the prism?

Mathematics

2 answers:

Gre4nikov [31]3 years ago

6 0

.20 is the correct answer

slega [8]3 years ago

5 0

A cube with a side length (S) of .5 has a volume (V) of 0.125

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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

Figure LMNP will be reflected across the y-axis. Place the point on the graph that represents

zimovet [89]

Answer:

If it's reflected on the y-axis, the answer for N would be (-2,-3).

5 0

3 years ago

15.24 x 1.64 the answer needs to be converted from us dollars to British pounds and can i have steps to plz

olga2289 [7]

Answer:

19.334

Step-by-step explanation:

First I multiplied.

15.24 x 1.64 = 24.9936

Then I convert my answer to British pounds.

24.9936 = 19.334 British Pound Sterling

Have a blessed day and hope this helps.

7 0

3 years ago

503,497 and 26,475 the value of 7 in?is ?times the value of 7 in ?

Vlad1618 [11]

1 times greater than 503,497

4 0

2 years ago

Talib is trying to find the inverse of the function to the right. His work appears beneath it. Is his work correct? Explain your

NikAS [45]

Answer:

Talib is correct i think

Step-by-step explanation:

6 0

2 years ago