The factorization of 150 is ?
1 answer:
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Answer:
a) Sketch in annex
b) angle is 22 °
c) grade of the hill is tan 22° = 0,40
Step-by-step explanation: See Annex for free body diagram
According to Newton´s second law
∑ Fy = 0 ⇒ mg cos ∠CAB - Fn = 0
Notice ∠ CAB = ∠ POD ( They have perpendicular sides )
mg = 500 Kg * 9.8 m/sec² ⇒ mg = 4900 [N]
mg cos ∠CAB - Fn = 0 ⇒ 4900*cos ∠CAB = Fn (1)
∑ Fx = ma
mg* sin ∠CAB - Fr = 500* 0.04 m/sec² = 20 [N]
4900 * sin ∠CAB = 1800 + 20 [N]
sin ∠CAB = 1820 / 4900 ⇒ sin ∠CAB = 0.3714
From tables we get
∠CAB = 22°
The formula of a distance between two points:
We have the points (0, 0) and (6, -8). Substitute:
ANSWER
EXPLANATION
The exponential function that models cell duplication in the lab is given as
We want to determine the time it will take for the cells to increase to
In other words, we want to find the value of
when
This gives us the equation,
Recall that,
We apply this property to the right hand side to obtain,
This implies that,
We divide both sides by 4 to get,
We take the antilogarithm of both sides to base 10 to get,
This implies that,
to the nearest hundredth.
EXPLANATION
The exponential function that models cell duplication in the lab is given as
We want to determine the time it will take for the cells to increase to
In other words, we want to find the value of
when
This gives us the equation,
Recall that,
We apply this property to the right hand side to obtain,
This implies that,
We divide both sides by 4 to get,
We take the antilogarithm of both sides to base 10 to get,
This implies that,
to the nearest hundredth.