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Ainat [17]
3 years ago
7

James ride down in an a Elevator that starts at a height of 120 feet. Brianne runs up the stairs from the group floor

Advanced Placement (AP)
1 answer:
anygoal [31]3 years ago
4 0

A.) 120 - 2.5t = 1.5t

Adding 2.5t to both sides,

120 - 2.5t + 2.5t = 1.5t + 2.5t

120 = 4t

Dividing both sides by 4,

t = 120 ÷ 4

t = 30

B.) The solution represents the fact that at 30 seconds, James and Brianne are at the same height after 30 seconds of riding the elevator and running up the stairs respectively.

C.) Assuming it takes 1 second to complete 1 feet, and after 30 seconds, they have completed 30 feet, the height above the ground floor when they are at the same height at the same time will be 120 - 30 = 90feet.

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Help me arrange this in order.<br> I can give brainliest!!
zubka84 [21]

I don't know exactly how to label these. I'll start from the left and go to the right. The formula for all of these questions is Sum = a(1 - r^n)/(1 - r)

Left

The complete series is 1 3 9 27 81 and just adding these as you see them, you  get 1 + 3 + 9 + 27 + 81 = 121

Sample calculation

i = 1

3^(1 -1) = 1

i = 4

1 * 3^(4 - 1)=3^3 = 27 Just what the series says you should get.

Sum using formula

Sum = 1(1 - 3^5)/(1 - 3) = 1 * (1 - 243)/(1 - 3) = - 242/-2 = 121

Second from the left

Series: 3 6 12 24 48

Sum by hand = 93

Sample Calculation

i = 1

3*2^(1 - 1) = 1

i1 = 3

3 * 2^(3 - 1) = 3 * 2^2 = 3 * 4 = 12 which is what you should get.

Sum using formula

Sum = 3 (1 - 2^(5 - 1) / (1 - 2)

Sum = 3 (1 - 32) / - 1

Sum = 3(-31) / (- 1) = 93

Second from the right.

Series: 2 6 18 54

Sample Calculation

i = 1

t1 = 2* 3^(1 - 1) = 2*3^0 = 2*1 = 2

i = 4

t4 = 2 * 3^(4- 1)

t4 = 2 * 3^3

t4 = 2 * 27

t4 = 54 just as it should

Sum with formula

Sum = 2( 1 - 3^4) / ( 1 - 3)

Sum = 2(1 - 81)/ -2

Sum = 2( - 80) / - 2

Sum = 80

Entry on the right

Series: 1 2 4 8 16 32 64

Sum by hand: 1 + 2 + 4 + 8 + 16 + 32 + 64 = 127

Sample Calculation:

i = 1

2^(1 - 1) = 2^0

2 to the zero = 1

i = 6

t6 = 1(  2^6)

t6 = 1 * 2^6 = 64

Sum using the formula: 1*(1 - 2^7)/(1 - 2) = (1 - 128)/(-1 = 127

Order: Answer

Right comes first

Left

Second from the left

Second from the right.  

3 0
3 years ago
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