Answer: The (magnitude of the) rate of change increases over time. The object drops 16 feet in the first second, but 80 feet in the last second.
Explanation:
1) I will start by showing the table in an easy way to read and understand:
Time (seconds) Height (feet)
0 144
1 128
2 80
3 0
2) Rate of change
- An initial clarification: the rate of change decreases since it is becoming more negative every second, but, in the analysis, the reasonable is to deal with the magnitude of this rate. The results shown below that the rate as a negative value, but the comparison is set about the magnitude of the change.
- The rate of change is calculated for every pair of consecutive points using this equation:
rate of change = [change in height] / [time elapsed]
a) rate₁: [128 - 144] feet / [ 1 - 0] sec = - 16 feet / sec ⇒ the object drops 16 feet in the first second.
b) rate₂ = [80 - 128] feet / [2 - 1] sec = - 48 feet/sec ⇒ the object drops 48 feet in the next second
c) rate₃ = [0 - 80] feet / [3 - 2] sec = - 80 feet/sec ⇒ the object drops 80 feet in the last second.
The rate of change is more negative every second: it increases in magnitude over time. The object drops 16 feet in the first second, but 80 feet in the last second.
Answer:
12, 6 and 30
Step-by-step explanation:
Step one:
given data
Number of medals = 48 medals
The given ratio is = 2:1:5
The total ratio is = 2+1+5= 8
Step two;
Applying the part to all method
for Gold we have
2/8=x//48
cross multiply
8x= 48*2
divide both sides by 8
x= 96/8
x= 12
gold is 12
for silver we have
1/8=x//48
cross multiply
8x= 48*1
divide both sides by 8
x= 48/8
x= 6
silver is 6
for bronze we have
5/8=x/48
cross multiply
8x= 48*5
divide both sides by 8
x= 240/8
x= 30
Bronze is 30
It would be 10 inches. The length of WZ would usually be stated as the diameter in these cases. As you can see in the picture, 5 inches is our radius and the diameter equals the radius times two (2r or the radius doubled) to give the diameter. 5 x 2 = 10, and 10 would be the answer.
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Answer:
c+20=72
Step-by-step explanation: