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shutvik [7]
2 years ago
6

Question 5 of 10

Mathematics
1 answer:
Dominik [7]2 years ago
8 0

Answer: Option A, B, E are correct.

A. 8^x •8^x = 64^x

B. 8^2x = 64^x

C. 8•8^2x = 8^{1 + 2x}

D.8^2•8^x = 8^{2 + x}

E. (8•8)^x = 64^x

F. 8•8^x = 8^{1 + x}

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4> Solve by using Laplace transform: y'+5y'+4y=0; y(0)=3 y'(o)=o
harina [27]

Answer:

y=3e^{-4t}

Step-by-step explanation:

y''+5y'+4y=0

Applying the Laplace transform:

\mathcal{L}[y'']+5\mathcal{L}[y']+4\mathcal{L}[y']=0

With the formulas:

\mathcal{L}[y'']=s^2\mathcal{L}[y]-y(0)s-y'(0)

\mathcal{L}[y']=s\mathcal{L}[y]-y(0)

\mathcal{L}[x]=L

s^2L-3s+5sL-3+4L=0

Solving for L

L(s^2+5s+4)=3s+3

L=\frac{3s+3}{s^2+5s+4}

L=\frac{3(s+1)}{(s+1)(s+4)}

L=\frac3{s+4}

Apply the inverse Laplace transform with this formula:

\mathcal{L}^{-1}[\frac1{s-a}]=e^{at}

y=3\mathcal{L}^{-1}[\frac1{s+4}]=3e^{-4t}

7 0
3 years ago
Now write the number is standard form ?
chubhunter [2.5K]

Step-by-step explanation:

(2 \times 10) + (6 \times 1) + (9 \times  \frac{1}{1000} ) \\  \\  =20 +6+ (9 \times  0.001 )  \\  \\  = 26 + 0.009 \\  \\  = 26.009

4 0
3 years ago
Read 2 more answers
Geoff paddles his canoe at an average speed of 3.5 miles per hour. After 5 hours of canoeing, Geoff has traveled 18 miles. Write
andriy [413]

Answer:

d(x) = 3.5x + 0.5

Step-by-step explanation:

3.5 x 5 = 17.5 which means the canoe began from a starting point of 0.5

7 0
3 years ago
How do I find the area. Please explain
olganol [36]
All you have to do is multiply it then you get the answer
7 0
3 years ago
If y is directly proportional to x and when y = 35, x = 140, what is the value of x when y = 70?
levacccp [35]

Answer: 280 = x


Step-by-step explanation: Okay you are using this equation! y = kx But you must rearrange it!

When rearranged you get y/x = k

Plug in x and y!

y/x = k

35/140 = k

0.25 = k

Now find the value of x.

You use this formula now, y/k = x

Plug in k from the last problem and y = 70

y/k = x

70/0.25 = x

280 = x



6 0
3 years ago
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