Average speed = Distance/ time
Distance = 180 mi
Time = time(final) - time(initial)
To find time will be easier if we translate am and pm into 24 h scale.
am will stay the same, so 10:30 am is 10:30. (initial)
pm will be turned (am time + 12), 3: 00 pm = 3:00 +12 =15:00 (final)
Time = time(final) - time(initial)= 15:00 - 10:30 = 14:60 - 10:30 =4h 30 min
4h + 30 min = 4h + 1/2 h= 4.5 h (time)
Average speed = Distance/ time = 180 mi / 4.5 h = 40 mi/h
Answer is 40 mi/h.
Each of these equations follows the standard form: y = mx + b
The variable "m" is the slope, and the variable "b" is the y-intercept.
Therefore, with the equation y = 8/3x - 5, the slope ("m") would equal 8/3 and the y-intercept ("b") would equal -5
The nth term of the arithmetic sequence is Tn = -7 + ( n - 1) 6
<h3>What is an arithmetic sequence?</h3>
An arithmetic sequence is defined as a sequence of numbers where the differences between every two consecutive terms is the same through out the sequence.
The nth term of an arithmetic sequence is expressed as;
an = a + ( n - 1) d
Where;
- a is the first term
- n is the number of terms
- d is the common difference
Substitute the values
an = -7 + ( n - 1) 6
Thus, the nth term of the arithmetic sequence is Tn = -7 + ( n - 1) 6
Learn more about arithmetic sequence here:
brainly.com/question/6561461
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Range is the y-value. The y-value in an ordered pair is the second number
(x, y)
So pick out all the y-values from the given ordered pairs:
(-4, -2) -> -2
(3, 5) -> 5
(0, 4) -> 4
Now put them together.
The range is {-2, 4, 5}
