A local gym offers a trial membership for 3 months. It discounts the regular monthly fee x by $25. If the total cost of the tria
2 answers:
<h2>Answer:</h2>
The inequality you can use to determine whether you should sign up is:
It is given that:
The regular monthly fee i.e. x is discounted by $ 25.
This means that now the monthly fee would be:
$ (x-25)
The membership is offered for three months.
This means that the cost for three months will be: $ 3(x-25)
Also,
The total cost of the trial membership must be less than $100.
i.e. the inequality which satisfies the above condition is given by:
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Answer:
4.4 ft/s
Step-by-step explanation:
Height = 15ft
Rate= 5 ft/s
Distance from the man to the kite= 32ft
dh/dt = 5 ft/s
h = √32^2 - 15^2
h = √ 1025 - 225
h = √800
h = 28.28ft
D = √15^2 + h^2
dD/dt = 1/2(15^2 + h^2)^-1/2 (2h) dh/dt
= h(225 + h^2)^-1/2 dh/dt
= (h / √225 + h^2)5
= (28.28 / √225 + 28.28^2)5
= (28.28 / √1024.7584)5
= (28.28/32)5
= 0.88*5
= 4.4 ft/s
