T(t) = Ts + (T₀ - Ts)exp(-kt), substituting the values:
60 = 50 + (80 - 50)exp(-25k)
10/30 = exp(-25k)
k = 0.0439 °C/min
Answer:
The slope of the line is -7/8
The point slope-form is y+4=(-7/8)(x-7)
The slope-intercept form is y=(-7/8)x+(17/8)
Step-by-step explanation:
You have to find the slope first using m=y2-y1 divided by x2-x1. After you found the slope of the line, you use one of the points to plug it into the point-slope form which is y-y1=m(x-x1). After you have done that, you would have convert this equation into slope-intercept form which is y=mx + b. In order to convert it, you have to multiply m with x and x1. Then you would have to get rid of y1 by doing the opposite of what y1 is. Finally, you would take the opposite of y1 and add it to the other side of the equation.
Really hope this helps! :)
After first week pond will be:
10 + 10* 0.03 = 10*(1.03) feet deep
after second week it will be:
10*(1.03) + 10*(1.03)*0.03 = 10*(1.03)^2
from this we can conclude that after x week its will be:
10*(1.03)^x
Note that when second week starts our starting pond is already greater by 3%. every week we add 3% of prevous weeks size of pond
for x = 8 we get
f(x) = 10*(1.03)^8 = 12.66 or rounded 13 feet
Answer is D.
Tree...........................dock
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boat
use Pythagorean Theorem to satisfy...a^2 + b^2 = c^2
200^2 + b^2 = 300^2
b^2 = 300^2 - 200^2
b^2 = 50000 (get square root of each)
b = 223.606 (rounded to the nearest tenth.... = 223.6
