This question would actually go under physics
Assuming that the model rocket goes straight up into the air and not at an angle, you can calculate for the maximum height by finding how long it takes for the velocity of the rocket to reach 0.
This can be calculated using the equation
t = (v sinx) /g
where t=time, v=velocity at zero seconds, x=angle of launch, g=gravity
Since we are assuming that the rocket flies straight up, the angle would be 90º, so sinx would be equal to 1.
That reduces are equation to
t = v / g
g=9.81 m/s^-2
So we need to convert gravity to feet/second^-2 and divide 160 by g, 160 being the initial velocity.
g=9.81 m/s^-2 = <span>32.2 ft/s^-2
160/32.2 ≈ 4.97 seconds
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Answer: (5a+b)/2
Step-by-step explanation:
1. First factor 5a^2+36ab+7b^2
=(5a+b)(a+7b)
2. Factor 2a+14b
The two can be factored out, making the equation equal to 2(a+7b).
The factored out equation is now 
Since there is an (a+7b) on both sides of the fraction, they cancel out. You are left with (5a+b)/2. This fraction cannot be simplified more.
To verify you can multiply (5a+b)/2 times (2a+14b). If it is correct, it should come back out as 5a^2 + 36ab +7b^2
Answer:
6c^4 - 2c^3 + 4
Step-by-step explanation:
- (4c^4 + 1) - (7c^3 - 3) + (2c^4 + 5c^3) = ⇒ parenthesis
- 4c^4 + 1 - 7c^3 + 3 + 2c^4 + 5c^3 = ⇒ simplify, add up like terms
- 6c^4 - 2c^3 + 4 ⇒ answer
Associative property. (a•b)•c=a•(b•c)
Answer:
16
Step-by-step explanation:
(-1/2)^ (-4)
= (2 / -1) ^ 4
= (-2) ^ 4
= 2 ^ 4
= 16
