First establish variables for current age.
Clive's current age = c
Sherman's current age = s
<span>"Three years ago,"
Clive was: (c - 3)
Sherman was: (s - 3)
</span><span>"Sherman was twice as old as Clive."</span><span>
(s - 3) = 2(c - 3)
Then in terms of Sherman's present age, distribute 2, combine like terms
s - 3 = 2c - 6
s = 2c - 6 + 3
s = 2c - 3
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The sum of a geometric sequence is:
s(n)=a(1-r^n)/(1-r)
The sequence rule for a geometric sequence is:
a(n)=ar^(n-1)
Not sure what they mean by "graph the six terms"
The sum of the first six terms is in this case:
s(6)=5(1-1.25^6)/(1-1.25)
s(6)=56.2939453125
The first six terms in sequence is in this case:
a(n)=5(1.25)^(n-1) so
5, 6.25, 7.8125, 9.765625, 12.20703125, 15.2587890625
Answer:
only students who have recess at 12 p.m. or later may go out
Step-by-step explanation:
Let the time after midnight be represented by t, and the temperature be y. Since the temperature increases by 1.2 degrees Fahrenheit each hour, the time taken to reach 32 degrees Fahrenheit can be gotten from:
y = 1.2t + 18
put y = 32
32 = 1.2t + 18
1.2t = 14
t = 14/1.2 = 11.67 hours
Since the recess starts at half hour or hour, hence the recess would start at t = 12 hours, i.e. at 12 p.m.
Hence only students who have recess at 12 p.m. or later may go out
Answer:
jump discontinuity at x = 0; point discontinuities at x = –2 and x = 8
Step-by-step explanation:
From the graph we can see that there is a whole in the graph at x=-2.
This is referred to as a point discontinuity.
Similarly, there is point discontinuity at x=8.
We can see that both one sided limits at these points are equal but the function is not defined at these points.
At x=0, there is a jump discontinuity. Both one-sided limits exist but are not equal.
Answer:
Step-by-step explanation:
the statement 0 < t < 52.5 represents all the time values for when Riko is behind Yuto, she catches up to Yuto at 52.5 minutes into her ride. Her ride starts at time of zero , so she can't have a negative time, like -4 because she isn't involved in the activity of riding her bike.
