Since the temperature keeps increasing by 2°F each hour for the next 7 hours, the graph will be a straight line graph.
Let T be temperature
t be the time at temperature T
At t₁ = 0, T₁ = 43°F
At t₂ = 1, T₂ = 45°F (temperature increase by 2°F)
Using the straight-line formula to get the equation of the graph. The equation is expressed as T = mt + b
- m is the slope
- b is the intercept
Get the slope
Get the intercept
Substitute m = 2 and the coordinate (0, 43) into the expression
43 = 2(0) + b
43 = b
b = 43
Get the equation of the line
T = 2t + 43
Graph the equation of temperature over time
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Answer:
< - 52, 48 > and 70.77
Step-by-step explanation:
2v - 6u
= 2<- 11, 3 > - 6 < 5, - 7 >
= < - 22, 6 > - < 30, - 42 >
= < - 52, 48 >
| 2v - 6u | = = = 70.77
All that has to be done here is to divide the number of inches by the measurement of a finger. So, divide 25 by 4 1/2 and you get approximately 5.55 fingers. The 5 repeats endlessly so bar notation can be used. If the answer is needed as a fraction, change 4 1/2 to an improper fraction to get 9/2. In this case, you're dividing 25 by 9/2, which is the same thing as multiplying 25 by 2/9, the reciprocal of 9/2. This gives you a total of 50/9 fingers, or 5 5/9 fingers as a mixed fraction.
Well, each base has 3*4/2=6 square inches. The lateral faces have 3*7, 4*7 and 5*7 as areas, totalling 12*7=84 square inches on the sides. The bases which total 12 sq. in. are added to the sides to get a total surface area of 96 square inches.