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3 years ago

Marisa painted 1/2 of her bedroom in 3/4 of an hour. At this rate, how long would it take her to paint the entire room?

2 answers:

8 0

6/8 because she painted half of her room in 3/4 of an hour and add half of that and you get 6/8! Hope this helps! Im not very good at math so don't judge me if its wrong...

Varvara68 [4.7K]3 years ago

3 0

It will take her 90 minutes.
there is 60 minutes in an hour and 3/4 is 45 minutes.
2 half (1/2) make a whole (1).
45 plus 45 is 90.

hope I helped

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Newton’s law of cooling states that dx/dt= −k(x − A) where x is the temperature, t is time, A is the ambient temperature, and k

Vadim26 [7]

Answer:

(a) The solution to the differential equation is x = A_0Coswt + Ce^(-kx)

(b) The initial condition t > 0 will not make much of a difference.

Step-by-step explanation:

Given the differential equation

dx/dt= −k(x − A); t > 0, A = A_0Coswt

(a) To solve the differential equation, first separate the variables.

dx/(x - A) = -kdt

Integrating both sides, we have

ln(x - A) = -kt + c

x - A = Ce^(-kt) (Where C = ce^(-kt))

x = A + Ce^(-kx)

Now, we put A = A_0Coswt

x = A_0Coswt + Ce^(-kx) (Where C is constant.)

And we have the solution.

(b) Since temperature t ≠ 0, the initial condition t > 0 will not make much of a difference because, Cos(wt) = Cos(-wt).

It is not any different from when t < 0.

7 0

3 years ago

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sasho [114]

Answer:

$g'(y)=3y^2-4y-8$

Step-by-step explanation:

start by foiling out the given function

$g(y)=(y-4)(2y+y^2)\\=2y^2+y^3-8y-4y^2\\=y^3-2y^2-8y$

next, use the power rule to find the derivative

power rule: To use the power rule, multiply the variable's exponent n, by its coefficient a, then subtract 1 from the exponent. If there's no coefficient (the coefficient is 1), then the exponent will become the new coefficient.

$g'(y)=3y^2-4y-8$

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Step-by-step explanation:

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soldi70 [24.7K]

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