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WINSTONCH [101]
3 years ago
15

I need help with this question will mark brainliest

Mathematics
2 answers:
fomenos3 years ago
8 0
The last one is the answer
Anon25 [30]3 years ago
6 0
I think it’s D aka the last one
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Find the equation of the line shown.
ExtremeBDS [4]
Answer: y = -1/4x + 2
explanation: line passes through y axis on 2, so 2 is your y-intercept. rise/run is ur slope, which is -1/4 .
3 0
2 years ago
(b) For those values of k, verify that every member of the family of functions y = A sin(kt) + B cos(kt) is also a solution. y =
frutty [35]

Answer:

Check attachment for complete question

Step-by-step explanation:

Given that,

y=Coskt

We are looking for value of k, that satisfies 4y''=-25y

Let find y' and y''

y=Coskt

y'=-kSinkt

y''=-k²Coskt

Then, applying this 4y'"=-25y

4(-k²Coskt)=-25Coskt

-4k²Coskt=-25Coskt

Divide through by Coskt and we assume Coskt is not equal to zero

-4k²=-25

k²=-25/-4

k²=25/4

Then, k=√(25/4)

k= ± 5/2

b. Let assume we want to use this

y=ASinkt+BCoskt

Since k= ± 5/2

y=A•Sin(±5/2t)+ B •Cos(±5/2t)

y'=±5/2ACos(±5/2t)-±5/2BSin(±5/2t)

y''=-25/4ASin(±5/2t)-25/4BCos(±5/2t

Then, inserting this to our equation given to check if it a solution to y=ASinkt+BCoskt

4y''=-25y

For 4y''

4(-25/4ASin(±5/2t)-25/4BCos(±5/2t))

-25A•Sin(±5/2t)-25B•Cos(±5/2t).

Then,

-25y

-25(A•Sin(±5/2t)+ B •Cos(±5/2t))

-25A•Sin(±5/2t) - 25B •Cos(±5/2t)

Then, we notice that, 4y'' is equal to -25y, then we can say that y=Coskt is a solution to y=ASinkt+BCoskt

4 0
2 years ago
You want to put $4,000 in a simple interest account. It has a 2.5% annual interest rate. How long will it take you to earn $500
SVEN [57.7K]

Answer:

5 years

Step-by-step explanation:

use the I = Prt simple interest formula

8 0
2 years ago
Write the number equal to 2 tens and 15 ones
leonid [27]
215    i hope this helped u
8 0
3 years ago
19) It will cost $12.50 per person to make dinner. Write an
-BARSIC- [3]

Answer:

12.50x less than or equal to $200

Step-by-step explanation:

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3 years ago
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