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lutik1710 [3]
3 years ago
10

The water level at your dock is 5 ft above sea level. The tide goes out and the water decreases by 8 ft. What integer represents

the new water level? (Model the situation using a number line)
Mathematics
2 answers:
Tanya [424]3 years ago
4 0

Answer:

-3

Step-by-step explanation:

Dmitrij [34]3 years ago
4 0
The answer is negative 3
-3
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Read 2 more answers
Suppose a cold beer at 40°F is placed into a warm room at 70°F. Suppose 10 minutes later, the temperature of the beer is 48°F. U
Yuri [45]

Answer:

69.92°F

Step-by-step explanation:

Given:

Initial temperature ( i.e at time, t = 0) = 40°F

Temperature of the room = 70°F

Temperature after 10 minutes ( i.e at time t = 10 ) = 48°F

Now, from Newton's law of cooling

T'(t) = k(A - T(t))

T(t) temperature after time t

T'(t) = \frac{\textup{dT}}{\textup{dt}}

here, A is the room temperature

thus,

\frac{\textup{dT}}{\textup{dt}}  = k(70 - T)

or

\frac{\textup{dT}}{\textup{70-T}} = kdt

on solving the differential equation, we get

T = 70-C^{-kt} ............(1)

Now from the boundary conditions,

 i.e at time, t = 0; T = 40°F

we get,

40 = 70-C^{-k\times0}

or

C = 30

and,

at time, t = 10; T = 48°F

thus,

48 = 70-30^{-k\times10}

or

k = \frac{\textup{-1}}{\textup{10}}ln\frac{11}{15}

or

k = 0.03

Therefore,

for t = 25

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T = 70-30^{-0.03\times25}

or

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or

T = 69.92°F

3 0
3 years ago
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