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Stella [2.4K]
4 years ago
6

(1 pt) let t2y′′−5ty′+5y=0. find all values of r such that y=tr satisfies the differential equation for t>0. if there is more

than one correct answer, enter your answers as a comma separated list.
Mathematics
1 answer:
Dafna1 [17]4 years ago
8 0
Let
y = t^r \\  \\ y' = rt^{r-1}  \\  \\ y'' = r(r-1) t^{r-2}

Substitute into differential equation:
(r^2 -r) t^r - (5r) t^r + (5) t^r = 0

Factor out t^r and solve for 'r':
r^2 - r -5r +5 = 0 \\  \\ r^2 - 6r+5 = 0 \\  \\ (r-5)(r-1) = 0 \\  \\ r = 1, r=5
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Sylvia has 51.78 pounds of dirt. She has 20 buckets and would like to put 2.56 pounds of dirt into each bucket. Are there enough
antoniya [11.8K]

Answer:

There isn't enough buckets for all of the dirt to be in a bucket.

Step-by-step explanation:

From the question,

She has 20 buckets and would like to put 2.56 pounds of dirt into each bucket.

Hence, the total number of dirt that can be in the 20 buckets is

20 × 2.56

= 51.20 pounds of dirt

Slyvia has 51.76 pounds of dirt.

51.76 - 51.20

= 0.56 pounds of dirt.

From the above calculation we can say that there isn't enough buckets for all of the dirt to be in a bucket

7 0
3 years ago
WILL GIVE BRAINLY 50 PTS
gulaghasi [49]

Answer:

A

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Help me with math please
Vlad1618 [11]
It's C.) and btw, L=10 and s=20
Hope this helps! :)
5 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B7%7D%7B8%7D%20%20%5Ctimes%20%20%5Cfrac%7B2%7D%7B4%7D%20%20%3D%20" id="TexFormula1
disa [49]

Answer:

7/16

Step-by-step explanation:

\dfrac78 \times \dfrac24=\dfrac{7 \times 2}{8 \times 4}=\dfrac{14}{32}=\dfrac{7}{16}

4 0
3 years ago
Is this correct?!!! Pls help
Alex17521 [72]

7 - 5n = 42

- 5n = 35

n =  - 7

Since a negative times a positive makes a negative you can change your equation to 7 - 5n=42. You can now subtract 7 from both sides to get -5n = 35. Next get divide -5 on both sides giving you n = -7.

5 0
3 years ago
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