Answer:
2/8
Step-by-step explanation:
D2x/dt2=-g (which we'll approximate as a constant -32ft/s^2)
d2x/dt2=-32 integrating we get:
dx/dt=-32t+C, where C is the initial velocity which we are told is 128ft/s so
dx/dt=-32t+128, integrating again we get:
h(t)=-16t^2+128t+C, where C is the initial height of the object..which we are told is 136 ft so
h(t)=-16t^2+128t+136 if we factor the first two terms we get:
h=-16(t^2-8t)+136
Answer:
blurd po
Step-by-step explanation:
^_________^^_________^^_________^
Answer:
The answer is x=57
Step-by-step explanation:
First, we would set the number to x.
Then, we turn the words into an equation.
x+75 = 3x-39
Isolate the x.
-2x = -114
So...
x = 57
The sum of the first four terms of the sequence is 22.
In this question,
The formula of sum of linear sequence is
The sum of the first ten terms of a linear sequence is 145
⇒
⇒ 145 = 5 (2a+9d)
⇒
⇒ 29 = 2a + 9d ------- (1)
The sum of the next ten term is 445, so the sum of first twenty terms is
⇒ 145 + 445
⇒
⇒ 590 = 10 (2a + 19d)
⇒
⇒ 59 = 2a + 19d -------- (2)
Now subtract (2) from (1),
⇒ 30 = 10d
⇒ d =
⇒ d = 3
Substitute d in (1), we get
⇒ 29 = 2a + 9(3)
⇒ 29 = 2a + 27
⇒ 29 - 27 = 2a
⇒ 2 = 2a
⇒ a =
⇒ a = 1
Thus, sum of first four terms is
⇒
⇒
⇒ S₄ = 2(2+9)
⇒ S₄ = 2(11)
⇒ S₄ = 22.
Hence we can conclude that the sum of the first four terms of the sequence is 22.
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