Suppose a small metal object, initially at a temperature of 50 degrees, is immersed in a room which is held at the constant temperature of 80 degrees. it takes 1 minutes for the temperature of the object to reach 65 degrees. 1. calculate the heat transfer coefficient r, i. e. the constant of proportionality in the differential equation that describes newton's law of cooling. 2. suppose now that the room temperature begins to vary; i. e. troom(t) = 70 + sin(0.1 t) . use newton's law of cooling and the heat transfer coefficient you calculated in the previous step to compute the temperature of the object as a function of time. suppose that t(0) = 65.

the final price would be 29.6925

step-by-step explanation:

39.59 minus 25% equals 29.6925

6 and 24

step-by-step explanation:

6 x 4 = 24

hello from mrbilldoesmath!

answer:   (7x + 6y) ( 49x^2 - 42xy + 36y^2)

discussion:

in general, the factorization of a^3 + b^3 is

a^3 + b^ 3 = (a + b) ( a^2 - ab + b^2)

in our case note that 343 = 7^3 and 216 = 6^3 so the equation becomes:

343x^3 + 216y^3 = (7x)^3 + (6y)^3

if you think of a (above) as 7x and b as 6y the factorization becomes

343x^3 + 216y^3 =

((7x + 6y) (   (7x)^2 - 7x*6y + (6y)^2)   =

(7x + 6y) ( 49x^2 - 42xy + 36y^2)

you,

mrb

(a + b) (a^2 - a b + b^2)

answer: 75°

step-by-step explanation:

∠esk is the supplement of ∠edk, so is 100°. ∠esd = 1/2·arc ed, so is 25°.

since ∠esk = ∠esd + ∠dsk

you have 100° = 25° + ∠dsk . .

fill in known values 75° = ∠dsk . . . . .

subtract 25°

step-by-step explanation: