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LUCKY_DIMON [66]
2 years ago
12

Elevator 1 in a hotel moved from ground position to a final position of +18 feet. Elevator 2 in the same building moved from gro

und to a final position of −20 feet. Which statement best describes the final positions of these two elevators?
A: Elevator 1 is 18 feet below ground level, and Elevator 2 is 20 feet above ground level.

B: Elevator 1 is 18 feet above ground level, and Elevator 2 is 20 feet below ground level.

C: Elevator 1 is 18 feet above ground level, and Elevator 2 is 20 feet below the position of Elevator 1.

D: Elevator 1 is 18 feet below ground level, and Elevator 2 is 20 feet above the position of Elevator 1.
Mathematics
1 answer:
Andreyy892 years ago
6 0

Answer: B. Elevator 1 is 18 feet above ground level, and Elevator 2 is 20 feet below ground level.

Step-by-step explanation:

Let "up" be positive and "down" be negative.

Both elevators start at position x = 0

The change in x (Δx) of Elevator 1 is +18 feet, which means it is 18 feet above the origin (which is ground level)

The change in x (Δx) of Elevator 2 is -20 feet, which means it is 20 feet below the origin (which is ground level)

Therefore, Elevator 1 is 18 feet above ground level, while Elevator 2 is 20 feet below

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Given that Ray E B bisects ∠CEA, which statements must be true? Select three options. m∠CEA = 90° m∠CEF = m∠CEA + m∠BEF m∠CEB =
igor_vitrenko [27]

Answer:

mCEA = 90ᴼ because CEA is a right angle, and right angles have 90ᴼ measures.

CEF is a straight angle because there are two 90ᴼ angles (CEA and AEF) and therefore there is 180ᴼ in total. A straight line has a measure of 180ᴼ.

AEF is a right angle because if CEA is a right angle and CEF is a straight line, then AEF has to be a right angle.

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2 years ago
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Expand and simplify (k-3)^7
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There are a couple of ways you can solve this. You can write it out like
(K-3)(K-3)(K-3)(K-3)(K-3)(K-3)(K-3)
And pretty much use the foil method
Or you can use the binomial theorem (google it if you dont know)
The solution should be:
(K^7) - 21(k^6) + 189(k^5) - 945(k^4) + 2835(k^3) - 5103(k^2) + 5103k - 2187
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2 years ago
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Lazar drives to work every day and passes two independently operated traffic lights. The probability that both lights are green
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     Conditional probability is a measure of probability of an event given that another event has occurred. 
      P ( A\ B ) = P ( A ∩ B ) / P ( B )  -  the conditional probability of A given B
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      P ( A \ B ) = 0.41 / 0.59 = 0.6949152 ≈ 0.69
      Answer:  B ) 0.69 
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2 years ago
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A segment has endpoints A (-1, 1) and B (8, 4) . If the segment is divided into four equal parts, the coordinates of the point c
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Line is divided into 4 equal parts.

we have to find a point which is closest to point A.

So that means required point P(x,y) is at 1 unit away from A(-1,1) and 3 unit away from B(8,4)

Now we just need to use section formula to get the coordinate of required point using m1=1 and m2=3

\left ( \frac{m_1x_2+m_2x_1}{m_1+m_2}  , \frac{m_1y_2+m_2y_1}{m_1+m_2} \right )

= \left ( \frac{1*8+3*(-1)}{1+3}  , \frac{1*4+3*1}{1+3} \right )

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