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3 years ago

What time and day will it be 154hr 36 mins after Thursday 1:26pm?

Mathematics

1 answer:

loris [4]3 years ago

5 0

Answer:

12:02 AM on the next Thursday

Step-by-step explanation:

First we wanna find how many days that is. 154/24. that is 6 and 5/12 days.

5/12 of a day is equal to 10/24, so 10 hours, sice there are 24 hours in a day.

so that's 10 hours and 36 minutes which equals 2:02 pm + 10 hours 12:02 AM on Friday

Now just add the 6 days so 12:02 AM on the next Thursday

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What is dy/dx if y = (x2 + 2)3(x3 + 3)2? A. 3(x2 + 2)2(x3 + 3)2 + 2(x2 + 2)2(x3 + 3) B. 2x(x3 + 3)2 + 3x2(x2 + 2)3 C. 6x(x2 + 2)

Vlada [557]

We want to find $\displaystyle{ \frac{dy}{dx}$ , for

$\displaystyle{ y=(x^2+2)^3(x^3+3)^2$ .

Recall the product rule: for 2 differentiable functions f and g, the derivative of their product is as follows:

$(fg)'=f'g+g'f$ .

Thus,

$y'=[(x^2+2)^3]'[(x^3+3)^2]+[(x^3+3)^2]'[(x^2+2)^3]\\\\ =3(x^2+2)^2(x^3+3)^2+2(x^3+3)(x^2+2)^3$

Answer: A) $3(x^2+2)^2(x^3+3)^2+2(x^3+3)(x^2+2)^3$ .

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3 years ago

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Julli [10]

About 16 copies cost the same amounts

5 0

3 years ago

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Solve each system by substitution<br><br> 2x - 3y = -1<br> X + 4y = -6

lord [1]

Answer:

(- 2, - 1 )

Step-by-step explanation:

Given the 2 equations

2x - 3y = - 1 → (1)

x + 4y = - 6 → (2)

Rearrange (2) expressing x in terms of y by subtracting 4y from both sides

x = - 6 - 4y → (3)

Substitute x = - 6 - 4y into (1)

2(- 6 - 4y) - 3y = - 1 ← distribute and simplify left side

- 12 - 8y - 3y = - 1

- 12 - 11y = - 1 ( add 12 to both sides )

- 11y = 11 ( divide both sides by - 11 )

y = - 1

Substitute y = - 1 into (3) for corresponding value of x

x = - 6 - 4(- 1) = - 6 + 4 = - 2

Solution is (- 2, - 1 )

3 0

3 years ago

The promising alternative energy sources currently under development are fuel cell technology and large-scale solar energy power

Mumz [18]

Answer:

Step-by-step explanation:

a) Denote the event of commercially availability of f_uel cell technology as F_, commercial availability of solar power technology as S

Write the probability of energy supplied by these energy sources in the next 10 years

P(energy supplied) = P(S ∪ F) -----(1)

Rewrite eqn (1)

P(energy supplied) = P(S) + P(F) - P(F) P(S) ----(2)

substitute 0.85 for P(S) and 0,7 for P(F) in eqn (2) to find the probability of energy supplied by these energy sources

P(energy supplied) = 0.85 + 0.7 - (0.7 * 0.85)

= 0.85 + 0.7 - (0.595)

= 1.55 - 0.595

= 0.955

Therefore, the probability that there will be energy supplied by these two alternative sources in the next 10 years is 0.955

B) write the probability of only one source of energy available

P(only one source of energy available) = $P(\bar F S)$ ∪ $P( \bar S F)$ ---(3)

Rewrite the equation (3)

P(only one source of energy available) =

$=P(\bar F S)+P(\bar S F)\\\\=\{[1-P(F)]P(S)+[1-P(S)]P(F)\}---(4)$

$=\{[1-0.7]0.85+[1-0.85]0.7\}\\\\=0.255+0.105\\\\=0.36$

Therefore,The probability that only one of the two alternative energy sources will be commercially viable in the next 10 years is 0.36

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3 years ago

Refer to the graph below.

aksik [14]

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3 years ago

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