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seropon [69]
3 years ago
5

Deshaun needs to memorize words on a vocabulary list for Russian class. He has memorized 6 of the words, which is two-thirds of

the list. How many words are on the list?
Mathematics
1 answer:
Contact [7]3 years ago
5 0
9 words are on the list. 
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Find the general solution of the given higher-order differential equation. d3u dt3 + d2u dt2 − 2u = 0
STALIN [3.7K]

\dfrac{\mathrm d^3u}{\mathrm dt^3}+\dfrac{\mathrm d^2u}{\mathrm dt^2}-2u=0

This ODE has characteristic equation

r^3+r^2-2=(r^3-r)+(r^2+r-2)=r(r^2-1)+(r+2)(r-1)

=(r(r+1)+(r+2))(r-1)=(r^2+2r+2)(r-1)=0

which has roots at r=1,-1\pm i. Then the characteristic solution to the ODE is

u(t)=C_1e^t+C_2e^{(-1+i)t}+C_3e^{(-1-i)t}

\implies\boxed{u(t)=C_1e^t+C_2e^{-t}\cos t+C_3e^{-t}\sin t}

6 0
3 years ago
Evaluate 4y when y = 5
Darina [25.2K]

Step-by-step explanation:

4y

4 (5)

4×5

20

y=20

Hope its helpfulllll

3 0
3 years ago
Answer please thanks
Leto [7]

Answer:

(2A /h) - b1 = b2

Step-by-step explanation:

A = 1/2 h ( b1 + b2)

Multiply each side by 2

2A = 2*1/2 h ( b1 + b2)

2A =  h ( b1 + b2)

Divide each side by h

2A/h= h/h ( b1 + b2)

2A/h=  b1 + b2

Subtract b1 from each side

2A /h - b1 = b2

3 0
3 years ago
Henry's patio is in the shape of a rectangle. He said the perimeter of the patio is 48 feet . He knows that one side is 9 feet w
ss7ja [257]

Answer:

2 sides of the patio are 9ft and another 2 sides are 15ft

Step-by-step explanation:

To solve this problem we have to know thata rectangle has 4 sides and 2 of them are equal to each other

This is the formula to calculate perimeter

p = perimeter 48 ft

a = side a = 9 ft

b = side b

p = 2a + 2b

we replace the known values

48ft = 2*9ft + 2b

48ft = 18ft + 2b

48ft - 18ft = 2b

30 / 2 = b

15 = b

2 sides of the patio are 9ft and another 2 sides are 15ft

8 0
3 years ago
Help me plz these are my last points and my las try the answer i did said its wrong
irga5000 [103]

Answer:

b=8h, not 8/h

tell me if it help

4 0
2 years ago
Read 2 more answers
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