Hello,
if p is false then ~p is true
if q is false then ~q is true
if ~p is true and ~q is true then <u>~q and ~p is true</u>
Answer:
f³(x) = 64/x⁶
Step-by-step explanation:
f³(x) = (f(x))³ = (4/x²)³ = 4³/(x²)³
f³(x) = 64/x⁶
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The applicable rules of exponents are ...
(a/b)^c = (a^c)/(b^c)
(a^b)^c = a^(bc)
Answer:
Segment AC = 10 units
segment AD =
angle 1 = 45°
angle 2 = 90°
AE = BE = CE = DE = 5
SEGMENT AC = AE + CE
= 5 + 5
= 10 UNITS
SEGMENT AD = 5² + 5²
= √50
= 7.071
= 7 UNITS
ANGLE 1 = 90° ÷ 2
= 45°
ANGLE 2 = 360° ÷ 4 / 180° ÷ 2
= 90°
The initial velocity is -150m/s.
Remember that:
V(t) = Vi + at, where v(t) is velocity at time t, Vi is initial velocity, and a is acceleration.
We know that the vehicle stopped after 30 seconds, so V(30) = 0.
Let's plug the useful info into our function and solve for a:
0 = -150 + a*30 Add 150 to both sides
150 = 30a Divide both sides by 30
a = 5 m/s²
The average acceleration is 5 meters per second squared.
There are several information's that are already given in the question. Based on those information's the answer to the question can be easily deduced.
Weight of 4 gallons of gasoline = 25 pounds
Then
Weight of 1 gallon of gasoline = 25/4 pounds
= 6.25 pounds
From the above deduction, we can easily conclude that the unit rate in pounds per gallon of gasoline is 6.25 pounds/gallon. I hope the answer helps you.