Answer:
43,690.
Step-by-step explanation:
The common ratio r is 8/2 = 32/8 = 4.
Sum of n terms = a1 * (r^n - 1) / (r - 1).
a1 = 2 and r = 4 so
Sum of 8 terms = 2 *(4^8 - 1) / (4 - 1)
= 2 * 65535 / 3
= 43,690.
Answer:
Daryl = 9, Malik = 3, Terrance = 14
Step-by-step explanation:
We can use letters to represent each brother's name, so
D + M + T = 26
3M = D
D + 5 = T
then we can plug in the 3M in the third problem for D
3M + 5 = T
Then we can go back to the first problem and plug in 3M and (3M + 5)
3M + M + (3M + 5) = 26
4M + (3M + 5) = 26
7M = 21
M = 3
plug 3 in for M in the second equation:
3 x 3 = D
D=9
Then go back to the first equation:
9 + 3 + T = 26
12 + T = 26
T = 14
So T = 14
D = 9
and M = 3
Answer:649
Step-by-step explanation:my because I want points sorry lol
The linear velocity of the Ferris wheel in inches per second is 18.9 inches/second.
<h3>What is the speed of an object?</h3>
The speed of an object is the ratio of the total distance covered by the object and the total time taken by the object to complete that distance.
Here, the radius of the Ferris wheel is (r) = 30 feet.
The circumference of the wheel is
C= 2πr
C= 2 × π × 30 feet
C= 60π feet
Here, the Ferris wheel completes 7 revolutions.
Therefore, it covers the linear distance of
D= 7 × circumference of the wheel
D= 7 × 60π feet
D= 420π feet
Now, the Ferris wheel took 14 minutes to complete 420π feet.
Therefore, the speed of the wheel is
S= (420π/14) feet/minute
S= 30π feet/minute
S= (30π × 12)/60 inches/second
S= 6π inches/second
S= 18.9 inches/second
Therefore the linear velocity of the object will be 18.9 inches/second
Learn more about the speed of an object here: brainly.com/question/16123156
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