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.
Answer:
In standard form x^2/64 + y^2/100 = 1
Step-by-step explanation:
The major axis is the y axis because 10 has a larger value than 8.
8x8 = 64
10 x10 = 100
Answer:
The equation of the line would be y = -3/2x + 7/2
Step-by-step explanation:
In order to find this, we must first use the slope formula with the two point to find the slope.
m(slope) = (y2 - y1)/(x2 - x1)
m = (5 - -1)/(-1 - 3)
m = 6/-4
m = -3/2
Now that we have the slope, we can use that and either point in point-slope form. Then we solve for y.
y - y1 = m(x - x1)
y + 1 = -3/2(x - 3)
y + 1 = -3/2x + 9/2
y = -3/2x + 7/2
5 ft + 12 ft = 17 ft
<span>9 in + 3 in = 12 in = 1 ft </span>
<span>17 ft + 1 ft = 18 ft
</span>hope this helps
"In three more years,Miguel's grandfather will be six times as old as Miguel was last year. When Miguel's present age is added to his grandfather's present age, the total is 68. How old is each one now?"
Miguel is 11 years old and his grandfather is 57 years old.
Last year Miguel was 10. In three more years his grandfather would be 60. 60/6=10. 11+57=68
