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AysviL [449]
3 years ago
6

Olivia picked 482 apples from the orchard’s largest apple tree. She divided the apples evenly into 4 baskets. How many apples ar

e in each basket? How many are left over?
Mathematics
1 answer:
AleksandrR [38]3 years ago
4 0

Answer:

there are 120 apples in each basket and 5 are left over

Step-by-step explanation:

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(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
Simplify 2(12-18\3+4)
Goshia [24]

{\bold{\red{\huge{\mathbb{QUESTION}}}}}

Simplify

2(12 -  \frac{18}{3}  + 4)

\huge\green{\boxed{\huge\mathbb{\red A \pink{N}\purple{S} \blue{W} \orange{ER}}}}

ATQ->

2(12 - ( \frac{ \cancel{18}^{ \:  \:  \: 6} }{3} ) + 4 \\ 2(12 - 6 + 4) \\ 2(16 - 6) \\ 2(10) \\ 20 \:  \: is \: your \: ans

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3 years ago
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I will mark brainlist please help!!
elena-14-01-66 [18.8K]
I’ve never see the truth about coks so it’s 27 inches for sure if it was all the same as2,2 743+77482=747474
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You have to dive the x and the Y so R=7
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The graph shows the distance, y, in miles, of a moving motorboat from an island for a certain amount of time, x, in hours:
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