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taurus [48]
3 years ago
6

A) If 8* = 1 64 find the value of x.

Mathematics
1 answer:
Wewaii [24]3 years ago
7 0

Answer:

x = -2

Step-by-step explanation:

8^{x} = \frac{1}{64}

So to solve exponent.

8x=  1 /64

log(8x)=log( 1/ 64 ) (Take log of both sides)

x*(log(8))=log( 1 /64 )

x= log( 1 /64 ) /  log(8)

x=−2

Hope this helps!

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35% of a number is 17. Work out the number.
Ksivusya [100]
Well first you would set up your ratio, 17/x = 35/100. You are trying to find x. To do so you cross multiply and divide. So first you have 17× 100 which equals 1700. The you divide that number by 35 which is around 48 like you said. I usually just round to the hundredths place so just cut it at 48.57 but to be safe say approximately 48.57
7 0
3 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
3 years ago
Help help help help help
storchak [24]
Answer is

x > 5

Tell me if it helps
8 0
3 years ago
No links and no false answers please help i'll mark you the brainlest
nadezda [96]
If you look at the line it never stops. Y can be any number and X can be any number so X and y are elements of reels meaning your answer is a
8 0
3 years ago
A)180.48 m2<br><br> B)180.48 m<br><br> C)80.48 m2<br><br> D)80.48 m
MissTica

Answer:

80.48m2

Step-by-step explanation:

I think this is right but it may be wrong.

4 0
2 years ago
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