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Fudgin [204]
3 years ago
14

A code is formed using four of these letters: A, B, I, K, N, O, and T. (Note that the order of the letters in the code matters;

for example, ABIK is a different code from BAIK.) The size of the sample space is . The probability that the first three letters of the four-letter code are vowels is .

Mathematics
2 answers:
Margarita [4]3 years ago
7 0
Take me the brayniest.i hope it was helpful

Tasya [4]3 years ago
5 0

1. my good guest if you have Plato the first one is 840

2. last one I am not sure but closes one I found  is 1/40

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Solve the following differential equations or initial value problems. In part (a), leave your answer in implicit form. For parts
shepuryov [24]

Answer:

(a) (y^5)/5 + y^4 = (t^3)/3 + 7t + C

(b) y = arctan(t(lnt - 1) + C)

(c) y = -1/ln|0.09(t + 1)²/t|

Step-by-step explanation:

(a) dy/dt = (t^2 + 7)/(y^4 - 4y^3)

Separate the variables

(y^4 - 4y^3)dy = (t^2 + 7)dt

Integrate both sides

(y^5)/5 + y^4 = (t^3)/3 + 7t + C

(b) dy/dt = (cos²y)lnt

Separate the variables

dy/cos²y = lnt dt

Integrate both sides

tany = t(lnt - 1) + C

y = arctan(t(lnt - 1) + C)

(c) (t² + t) dy/dt + y² = ty², y(1) = -1

(t² + t) dy/dt = ty² - y²

(t² + t) dy/dt = y²(t - 1)

(t² + t)/(t - 1)dy/dt = y²

Separating the variables

(t - 1)dt/(t² + t) = dy/y²

tdt/(t² + t) - dt/(t² + t) = dy/y²

dt/(t + 1) - dt/(t(t + 1)) = dy/y²

dt/(t + 1) - dt/t + dt/(t + 1) = dy/y²

Integrate both sides

ln(t + 1) - lnt + ln(t + 1) + lnC = -1/y

2ln(t + 1) - lnt + lnC = -1/y

ln|C(t + 1)²/t| = -1/y

y = -1/ln|C(t + 1)²/t|

Apply y(1) = -1

-1 = ln|C(1 + 1)²/1|

-1 = ln(4C)

4C = e^(-1)

C = (1/4)e^(-1) ≈ 0.09

y = -1/ln|0.09(t + 1)²/t|

8 0
3 years ago
Solve the equation 4sqrt(3m ^ 2 - 15) = 4
Deffense [45]

Answer:

See the image below:)

Step-by-step explanation:

I can only show half of the steps, but these are some of the steps. You can use the app photo math, just take a picture and it will show you the steps and answer.

5 0
3 years ago
What is 625 over 6561 simplified?
erastovalidia [21]
<span> the answer is 0.09526. your welcome</span>
4 0
3 years ago
The figures below are similar.
jeyben [28]

Answer:

S=98

Step-by-step explanation:

If S2 is 196 we can divide that by two and get our answer: s=98

7 0
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Lillian but for hairbrushes at $3.99 each.She had a coupon for $1 off. Her mum paid for half of the remaining cost.Evaluate a nu
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She will pay $1.50 for the hairbrush and her mum paid $1.50 as well
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