Find the sum of the first 50 terms. -6,-2,2,6...

1 answer:

3 0

This is an arithmetic sequence with a1 = -6 and d = 4

Sn = (n/2) (2a1 + (n-1)d)

S50 = (50/2)[2*-6 + (50-1)*4]

= 25 * (-12 + 4*49)

= 4600

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Center City East Parking Garage has a capacity of 257 cars more than Center City West Parking Garage. If the combined capacity f

amid [387]

Center City West = x
Center City East = (x + 257)

Solve for x to find the capacity for Center City West and then we can find the capacity for Center City East.

(x + 257) + x = 1221
x + x + 257 = 1221
2x + 257 - 257 = 1221 - 257
2x = 964
2x / 2 = 964 / 2
x = 482
Center City West capacity = 482

Now to find Center City East capacity we substitute 482 for x in (x + 257)

(x + 257)
(482 + 257)
482 + 257 = 739

Center City East capacity = 739
Center City West capacity = 482

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A force of 18 lb is required to hold a spring stretched 8 in. beyond its natural length. How much work W is done in stretching i

Wittaler [7]

Answer: 18.75 lb.ft

Step-by-step explanation:

Given

Force required to stretch spring 8 in. is 18 lb

it can be written

$\Rightarrow F=kx\\\Rightarrow 18=k(8)\\\\\Rightarrow k=\dfrac{18}{8}=\dfrac{9}{2}\ lb/in.$