Answer:
The equation for the height, in ft, is:
![h(t)=-16.085\cdot t^2+64\cdot t](https://tex.z-dn.net/?f=h%28t%29%3D-16.085%5Ccdot%20t%5E2%2B64%5Ccdot%20t)
Step-by-step explanation:
The height can be expressed as an integration of the speed:
![h(t)-h(0)=h(t)=\int_{0}^t v(t)\,dt](https://tex.z-dn.net/?f=h%28t%29-h%280%29%3Dh%28t%29%3D%5Cint_%7B0%7D%5Et%20v%28t%29%5C%2Cdt)
Also, the speed can be expressed as an integration of the acceleration:
![v(t)-v(0)=v(t)-64=\int_0^ta(t)\,dt=-g\cdot t=-32.17t\\\\v(t)=64-32.17t \;[ft/s]](https://tex.z-dn.net/?f=v%28t%29-v%280%29%3Dv%28t%29-64%3D%5Cint_0%5Eta%28t%29%5C%2Cdt%3D-g%5Ccdot%20t%3D-32.17t%5C%5C%5C%5Cv%28t%29%3D64-32.17t%20%5C%3B%5Bft%2Fs%5D)
Then, if we go to the height equation, we have:
![h(t)=\int_{0}^t v(t)\,dt=64t-32.17\cdot \dfrac{t^2}{2}=64t-16.085t^2](https://tex.z-dn.net/?f=h%28t%29%3D%5Cint_%7B0%7D%5Et%20v%28t%29%5C%2Cdt%3D64t-32.17%5Ccdot%20%5Cdfrac%7Bt%5E2%7D%7B2%7D%3D64t-16.085t%5E2)
The equation for the height is:
![h(t)=-16.085\cdot t^2+64\cdot t](https://tex.z-dn.net/?f=h%28t%29%3D-16.085%5Ccdot%20t%5E2%2B64%5Ccdot%20t)
Answer:
The value of brand A=$75 billions
The value of brand B=$28 billions.
Step-by-step explanation:
Let the value of brand B be x billions.
We are told that brand A worth $47 more than brand B.
This implies that in terms of x the value of brand A is (x+47) billions.
Also, the total of both brand is $103 billions. Hence, we can write the following mathematics equation and solve for x.
![\implies x + x + 47 = 103](https://tex.z-dn.net/?f=%20%5Cimplies%20x%20%2B%20x%20%2B%2047%20%3D%20103)
![\implies 2x+ 47 = 103](https://tex.z-dn.net/?f=%5Cimplies%202x%2B%2047%20%3D%20103)
subtracting 47 from both sides.
![\implies 2x+ 47 - 47= 103 - 47](https://tex.z-dn.net/?f=%5Cimplies%202x%2B%2047%20-%2047%3D%20103%20-%2047)
![\implies 2x=56](https://tex.z-dn.net/?f=%5Cimplies%202x%3D56)
Dividing through by 2.
![\implies \frac{2x}{2} = \frac{56}{2}](https://tex.z-dn.net/?f=%5Cimplies%20%20%5Cfrac%7B2x%7D%7B2%7D%20%3D%20%5Cfrac%7B56%7D%7B2%7D%20)
![\implies x=28](https://tex.z-dn.net/?f=%5Cimplies%20x%3D28)
Therefore,
the value of brand B is $28 billions, and
the value of brand A=($28+$47)=$75.
Answer:
1/6
Step-by-step explanation:
there are six numbers and you are hoping to get a single specific number making it 1/6
Answer:
10
Step-by-step explanation:
ok so first you eat my poop then you eat your own poop and then you eat my dog poop
You would have to use the slope formula y2-y1/x2-x1 and substitute the values into this. That would be 5+3/6-6 which is 8/0. 0 can’t be in the denominator because no number can be divided by 0 so the slope is undefined.