It would be answer A because something in the negatives can not be greater than something in the negatives
Answer: x < 8
P/s: if -1.x > -a => x < -a/-1
Ok done. Thank to me >:3
Answer:
24/10 = 12/5
Step-by-step explanation:
Sounds like a physics problem
basically we can simlpify it to this:
we toss something straight up with initial velocity 10ft/sec, assuming gravity kicks in, what is max height?
we can use the kinematic equation
![v_{f}^2=v_{0}^2+2ad](https://tex.z-dn.net/?f=v_%7Bf%7D%5E2%3Dv_%7B0%7D%5E2%2B2ad)
![v_f](https://tex.z-dn.net/?f=v_f)
is final velocity
![v_0](https://tex.z-dn.net/?f=v_0)
is initial velocity
a is acceleration due to gravity
d=distance traveled
if we say he tosses it straight up then when it reaches max height,
![v_f=0](https://tex.z-dn.net/?f=%20v_f%3D0)
and
![v_0=10 \frac{ft}{s}](https://tex.z-dn.net/?f=v_0%3D10%20%5Cfrac%7Bft%7D%7Bs%7D)
and we know that
![a=-32.174 \frac{ft}{s^2}](https://tex.z-dn.net/?f=a%3D%3Cspan%3E-32.174%20%5Cfrac%7Bft%7D%7Bs%5E2%7D)
so solving for d
<span>
![v_{f}^2=v_{0}^2+2ad](https://tex.z-dn.net/?f=v_%7Bf%7D%5E2%3Dv_%7B0%7D%5E2%2B2ad)
</span><span>
![v_{f}^2-v_{0}^2=2ad](https://tex.z-dn.net/?f=v_%7Bf%7D%5E2-v_%7B0%7D%5E2%3D2ad)
</span><span>
![\frac{v_{f}^2-v_{0}^2}{2a}=d](https://tex.z-dn.net/?f=%5Cfrac%7Bv_%7Bf%7D%5E2-v_%7B0%7D%5E2%7D%7B2a%7D%3Dd)
plug the numbers in
</span>
![\frac{(0)^2-(10 \frac{ft}{s})^2}{2(-32.174 \frac{ft}{s^2})}=d](https://tex.z-dn.net/?f=%5Cfrac%7B%280%29%5E2-%2810%20%5Cfrac%7Bft%7D%7Bs%7D%29%5E2%7D%7B2%28%3Cspan%3E-32.174%20%5Cfrac%7Bft%7D%7Bs%5E2%7D%29%7D%3Dd)
![1.5540498539193137315845092310561 ft=d](https://tex.z-dn.net/?f=1.5540498539193137315845092310561%20ft%3Dd)
we add that to the initial 6ft
so total of 7.5540498539193137315845092310561 ft max height
about 7.6ft
Answer:
C. 772.5 kg
Step-by-step explanation:
We have been given that a hot air balloon holds 4,328 cubic meters of helium. The density of helium is 0.1785 kilograms per cubic meter.
To find the amount of helium in the balloon, we will use density formula.
![\text{Density}=\frac{\text{Mass}}{\text{Volume}}](https://tex.z-dn.net/?f=%5Ctext%7BDensity%7D%3D%5Cfrac%7B%5Ctext%7BMass%7D%7D%7B%5Ctext%7BVolume%7D%7D)
![\text{Mass}=\text{Density}\times \text{Volume}](https://tex.z-dn.net/?f=%5Ctext%7BMass%7D%3D%5Ctext%7BDensity%7D%5Ctimes%20%5Ctext%7BVolume%7D)
Upon substituting our given values, we will get:
![\text{Mass}=\frac{\text{0.1785 kg}}{\text{ m}^3}}\times \text{4328 m}^3](https://tex.z-dn.net/?f=%5Ctext%7BMass%7D%3D%5Cfrac%7B%5Ctext%7B0.1785%20kg%7D%7D%7B%5Ctext%7B%20m%7D%5E3%7D%7D%5Ctimes%20%5Ctext%7B4328%20m%7D%5E3)
![\text{Mass}=\text{0.1785 kg}\times 4328](https://tex.z-dn.net/?f=%5Ctext%7BMass%7D%3D%5Ctext%7B0.1785%20kg%7D%5Ctimes%204328)
![\text{Mass}=\text{772.548 kg}](https://tex.z-dn.net/?f=%5Ctext%7BMass%7D%3D%5Ctext%7B772.548%20kg%7D)
Upon rounding our answer to nearest tenth, we will get:
![\text{Mass}\approx \text{772.5 kg}](https://tex.z-dn.net/?f=%5Ctext%7BMass%7D%5Capprox%20%5Ctext%7B772.5%20kg%7D)
Therefore, the balloon contains 772.5 kilograms of helium and option C is the correct choice.