Answer:

Step-by-step explanation:
Hi!
Lets call:
T = temprature of the object
T₀ = temperature of surroundings
t = time
The rate of change of T is its derivative with respecto to time. If T > T₀, the object looses heat, so T decreases. Then, being k > 0:

In this case T₀ = 70ºF and k = 0.05/min. Then the differential equation is:

Answer:
8
- 1
= 
Step-by-step explanation:
Convert the mixed number to improper fractions, then find the LCD ( least common denominator ) and combine.
You can write your answer in -
Exact Form :

Decimal Form :
7.3
Hope this helps!
Davinia.
Answer:
Explained below.
Step-by-step explanation:
The random variable <em>X</em> is defined as the number of stars in a given volume of space.

The probability mass function of <em>X</em> is:

(7)
Compute the probability of exactly two stars in 16 cubic light-years as follows:

(8)
Compute the probability of three or more stars in 16 cubic light-years as follows:

(9)
In 16 cubic light years there is only 1 star.
Then in 1 cubic light years there will be, (1/16) stars.
Then in 4 cubic light years there will be, 4 × (1/16) = (1/4) stars.
(10)
In 16 cubic light years there is only 1 star.
Then in 1 cubic light years there will be, (1/16) stars.
Then in <em>t</em> cubic light years there will be, [<em>t</em> × (1/16)] stars.
12• (0.25) • (-8) ÷ 1/3 • 5
3• (8) ÷ 1/3 • 5
24 • 1/3 • 5
8 • 5
40
Until the second step is ok.
in the third step, she multiplied the 1/3 term instead if dividing it
24 ÷ 1/3 . 5
24 ÷ 5/3
72/5