Follow the Order of Operations:
(PEMDAS)
<u>Parenthesis</u> (1)
<u>Exponents</u> (2)
<u>Multiplications</u> (3)
<u>Division</u> (3)
<u>Addition</u> (4)
<u>Subtraction</u> (4)
Note: Multiplication and Division are both on the same level, depending if it first came on the left or not. Same goes to Addition and Subtraction.
Answer: 3.50329. <em>3.5, if round to the nearest tenth.</em>
Answer:
A -6 divided by (-3)
Step-by-step explanation:
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Answer:
the angle is changing at a rate of 0.0375 rad/s when the time is t=8 seconds
Step-by-step explanation:
since the line D that starts from the spectator and follows the plane has the following equation
D² = x² + H² , where H= altitude of the plane , x= horizontal distance
then for x=v*t , where v=speed of the plane and t=time since the plane has passed overhead , we have for the elevation angle
tan θ = x/y = v*t /H
θ = tan⁻¹ ( v*t /H)
the rate of change in the angle of the spectator's sight θ with the time is
dθ/dt = 1/1+(v*t /H)² * (v/H) = (v/H)/[1+ (v/H)²*t²]
for t=8 seconds
dθ/dt = (875 ft/s/21000 ft)/[1+ (875 ft/s/21000 ft)²*(8 s)²] = 0.0375 rad/s
therefore the angle is changing at a rate of 0.0375 rad/s when the time is t=8 seconds
5^7 = 5 × 5 × 5 × 5 × 5 × 5 × 5 = 78,125
5^-9 = 5 ÷ 5 ÷ 5 ÷ 5 ÷ 5 ÷ 5 ÷ 5 ÷ 5 ÷ 5 = 0.000000512
5^-5 = 5 ÷ 5 ÷ 5 ÷ 5 ÷ 5 = 0.00032
78,125 × 0.000000512 × 0.00032 = 0.0000128
Answer: 0.0000128 or 1.28 x 10^-5
