A dump truck weighs 11.2511.25 tons when empty. A conveyor belt pours sand into the truck at a constant rate of \frac{1}{4}
2 answers:
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Answer: i) f(-9)= 66
ii) .
iii)
Step-by-step explanation:
The given function : .
i) For f(-9) , the independent variable is x= -9.
Put x= -9 in given function , we get
Thus , f(-9)= 66
ii) For f(x+1) , the independent variable is x= x+1.
Replace x by x+1 in given function , we get
.
Thus , .
iii)For f(-x) , the independent variable is x=-x.
Replace x by -x in given function , we get
.
[∵ (+)(-)=(-)]
Thus ,
By listing the samples in descending order we have - Sample B, Sample E, Sample A, Sample C, and Sample D.
Step-by-step explanation:
Step 1; First, we must convert all the temperatures into a common scale. The given temperatures are in three different units i.e. °C, K, and °F. Here we convert all the units into K.
To convert °C to K, we add 273.15 with the °C , 44 °C= 44 + 273.15 = 317.15 K.
To convert °F, we have the formula (112°F − 32) × () + 273.15, so
110 °F = (110 - 32) × () + 273.15 = 316.483 K,
112 °F = (112 - 32) × () + 273.15 = 317.594 K.
Step 2; By rewriting all the values on the same unit, we get;
Sample A = 317.15 K,
Sample B = 320 K,
Sample C = 316.483 K,
Sample D = 310 K,
Sample E = 317.594.
The descending order is as follows 320 K, 317.594K, 317.15 K, 316.483 K and 310 K which is Sample B, Sample E, Sample A, Sample C, and Sample D.