In a class of 22 students, 15 play an instrument and 11 play a sport. There are 9
1 answer:
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Answer:
<u>0.765 meters</u> long were the sticks when laid end to end.
Step-by-step explanation:
Given:
Rob laid three sticks end to end. The lengths of the sticks were 45 millimeters, 32 centimeters, and 4 decimeters.
Now, to find the length in meters of the sticks when laid end to end.
The lengths of the sticks are:
1st stick - 45 millimeters.
2nd stick - 32 centimeters.
3rd stick - 4 decimeters.
So, we convert the units of sticks into meters by using conversion factor:
1st stick:
1 millimeter = 0.001 meter.
45 millimeters = 0.001 × 45
45 millimeters = 0.045 meter.
2nd stick:
1 centimeter = 0.01 meter.
32 centimeters = 0.01 × 32
32 centimeters = 0.32 meter.
3rd stick:
1 decimeter = 0.1 meter.
4 decimeters = 0.1 × 4
4 decimeters = 0.4 meter.
Now, adding all the three sticks length to get the the length in meters of the sticks when laid end to end:
Therefore, 0.765 meters long were the sticks when laid end to end.
Answer:
- doman: x ≠ 1
- range: y ≠ 7
Step-by-step explanation:
The domain is the horizontal extent of the graph, the set of x-values for which the function is defined. The range is the vertical extent of the graph, the set of y-values defined by the function.
<h3>Simplified</h3>The given function is undefined where its denominator is zero, at x=1. Everywhere else, it can be simplified to ...
The simplified function (3x+4) is defined for all values of x except x=1. The simplest description is ...
x ≠ 1
In interval notation, this is ...
(-∞, 1) ∪ (1, ∞)
<h3>Range</h3>
The simplified function is capable of producing all values of y except the one corresponding to x=1: 3(1)+4 = 7. The simplest description is ...
y ≠ 7
In interval notation, this is ...
(-∞, 7) ∪ (7, ∞)
