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If the elevation above water level of a breaching whale is given by th 09 Feb 2017, 03:15
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75% (hard)

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55% (02:12) correct 45% (02:08) wrong based on 354 sessions

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If the elevation above water level of a breaching whale is given by the expression −t^2 + 12t − 35 where t is the time, in seconds, after an observer begins watching, is the whale presently underwater?

(1) t < 8.

(2) t > 5.
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E
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If the elevation above water level of a breaching whale is given by th 09 Feb 2017, 03:28
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Bunuel
If the elevation above water level of a breaching wale is given by the expression −t^2 + 12t − 35 where t is the time, in seconds, after an observer begins watching, is the whale presently underwater?

(1) t < 8.

(2) t > 5.
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E

when t = 6 value is 1, 7 then value is 0 and 8 then value is -3. I am not sure though
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If the elevation above water level of a breaching whale is given by th 16 Feb 2017, 00:47
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If the elevation above water level of a breaching wale is given by the expression \(−t^2 + 12t − 35\) where t is the time, in seconds, after an observer begins watching, is the whale presently underwater?

(1) \(t < 8\).

(2) \(t > 5\).
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Official solution from Veritas Prep.
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If the elevation above water level of a breaching whale is given by th 16 Feb 2017, 09:41
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Bunuel
If the elevation above water level of a breaching wale is given by the expression −t^2 + 12t − 35 where t is the time, in seconds, after an observer begins watching, is the whale presently underwater?

(1) t < 8.

(2) t > 5.
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A breaching whale is a whale leaping out of the water.

Elevation = −t^2 + 12t − 35

(1) t < 8
Let's notice what happens at exactly t = 8
Elevation = -(8)^2 + 12*8 - 35 = -3
It means the whale is under water at this time.

Put t = 7
Elevation = -(7)^2 + 12*7 - 35 = 0
So the whale is exactly at the surface at this time.

Put t = 6
Elevation = -(6)^2 + 12*6 - 35 = 1
The whale has a positive elevation at this time.

Let's find out what happens at t = 5
Elevation = -(5)^2 + 12*5 - 35 = 0
So the whale is exactly at the surface at this time.

We see what is happening here. The whale is exactly at the surface at t = 5, is out of water and then back in the water at t = 7.

Given that t < 8, the whale is underwater if t > 7 or t < 5. Not sufficient.

(2) t > 5
If t = 6, the whale is out of water but if t > 7, it is underwater. Not sufficient.

Using both, If t = 6, the whale is out of water but if t > 7, the whale is underwater. Not sufficient.

Answer (E)
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If the elevation above water level of a breaching whale is given by th 01 Jan 2022, 09:56
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X has to be greater than 7.

Answer E
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If the elevation above water level of a breaching whale is given by th 12 Jul 2024, 14:04
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