The sum of three numbers is 3068.Two of the numbers are 1266 and 1755,find the third number
2 answers:
Answer:
The third number is 47.
Step-by-step explanation:
The sum of three numbers is 3068 - this can be expressed mathematically as:
Given that two of the numbers are 1266 and 1755 (in order) then substitute x = 1266 and y = 1755:
Find the third number - solve for z-variable:
Therefore, the third number is 47.
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Answer:
Step-by-step explanation:
Given: GCF of two numbers is . neither number is divisible by the other.
To Find: smallest of these two number.
Solution:
As GCF of two numbers is , both number are divisible by
.
Prime factor of
multiples of are
GCF of all three multiples is ,
Here and
are the two multiples whose GCF is
and neither is divisible by other
Hence the smallest of two is , the answer is
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) =
here, A is the room temperature
thus,
= k(70 - T)
or
= kdt
on solving the differential equation, we get
T = ............(1)
Now from the boundary conditions,
i.e at time, t = 0; T = 40°F
we get,
40 =
or
C = 30
and,
at time, t = 10; T = 48°F
thus,
48 =
or
k =
or
k = 0.03
Therefore,
for t = 25
from 1 we have
T =
or
T = 70 - 0.0780
or
T = 69.92°F