Answer:
Step-by-step explanation:
The desired formula parameters for Newton's Law of Cooling can be found from the given data. Then the completed formula can be used to find the temperature at the specified time.
__
<h3>Given:</h3>
<h3>Find:</h3>
k
T(4)
<h3>Solution:</h3>
Filling in the given numbers, we have ...
185 = 68 +(208 -68)e^(-k·3)
117/140 = e^(-3k) . . . . . subtract 68, divide by 140
ln(117/140) = -3k . . . . . . take natural logarithms
k = ln(117/140)/-3 ≈ 0.060
__
The temperature after 4 minutes is about ...
T(4) = 68 +140e^(-0.060·4) ≈ 68 +140·0.787186
T(4) ≈ 178.205
After 4 minutes, the final temperature is about 178 °F.
Sum of nth term of arithmetic sequence is given by Sn = n/2[2a + (n - 1)d]
Here, a = 6, n = 26 and d = 14 - 6 = 8
S26 = 26/2[2(6) + (26 - 1)8] = 13[12 + 25(8)] = 2,756
Answer:
7560 in^3
Step-by-step explanation:
Hello! The first thing that we must take into account to solve this problem is that the volume of any solid is equal to the transverse area by the height, in this case we must find the area of the trapezoid and then multiply it by the height
V=AL
V= Volume
A=area
L=height=9in
finding area of trapezoid
To know what each variable corresponds to, please see the attached file
finally multiply the area by the height of the box(9in)
V=AL
V=(840in^2)(9in)=7560in^3
the volume of the flower box is 7560 in^3
<span>Answer:
P = $ 2,000.00
Equation:
P = I / rt
Calculation:
First, converting R percent to r a decimal
r = R/100 = 4%/100 = 0.04 per year,
putting time into years for simplicity,
3 months ÷ 12 months/year = 0.25 years,
then, solving our equation
P = 20 / ( 0.04 × 0.25 ) = 2000
P = $ 2,000.00
The principal required to
accumulate interest of $ 20.00
on a rate of 4% per year for 0.25 years (3 months) is $ 2,000.00.
</span>
Answer: 40 ft by 4 ft
Step-by-step explanation:
See attached picture
