Answer:
x=80 degree
Step-by-step explanation:
(x-5)+(x-6)+(2x-7)+x+(2x-2)=540 degree (sum of interior angles of a pentagon)
x-5+x-6+2x-7+x+2x-2=540
7x-20=540
7x=540+20
x=560/7
x=80 degree
Newton's Law of Cooling states that the change
of the temperature of an object is proportional to the difference between its
own temperature and the ambient temperature over time.
Therefore when expressed mathematically, this is equivalent
to:
dT = - k (T – Ts) dt
dT / (T – Ts) = - k dt
Integrating:
ln [(T2– Ts) / (T1– Ts)] = - k (t2 – t1)
Before we plug in the values, let us first convert the
temperatures into absolute values R (rankine) by adding 460.
R = ˚F + 460
T1 = 200 + 460 = 660 R
Ts = 70 + 460 = 530 R
ln [(T2– 530) / (660 – 530)] = - 0.6 (2 - 0)
T2 = 569.16 R
T2 = 109 ºF
Answer: After 2 hours, it will be 109 ºF
Answer:
Not a Function
Step-by-step explanation:
there are 2 same inputs for different outputs
Answer:57/100
Step-by-step explanation:
First, convert 3/10 into hundreths to get a denominator equal to the other:
3/10 km = 30/100km
Add the numerators: 27+30=57
Place numerator over common denominator: 57/100
Answer:
Step-by-step explanation:
<u>Compound Interest</u>
This is a well-know problem were we want to calculate the regular payment R needed to pay a principal P in n periods with a known rate of interest i.
The present value PV or the principal can be calculated with
Solving for R
Where Fa is computed by
We'll use the provided values but we need to convert them first to monthly payments
Thus, each payment is
