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<span>Instead of k, k+1, k+2, you should use k, k+2, k+4 with the constraint that k is even (i.e. if you return an odd integer for k, or a non-integer, then return no solution).
</span><span>k + (k+2) + (k+4) = 4k
</span><span>3k + 6 = 4k
k = 6
</span><span>Indeed, 6+8+10 = 4*6.</span>
a) If the motorcycle starts from rest, then we have an initial speed equal to zero (V0 = 0), with this we can choose a formula that does not contain the initial speed, now we also know that what it asks us is the time that it takes a certain speed to pass, so the formula we will use will be:
![\bf{\displaystyle d=\frac{a{{t}^{2}}}{2}}](https://tex.z-dn.net/?f=%5Cbf%7B%5Cdisplaystyle%20d%3D%5Cfrac%7Ba%7B%7Bt%7D%5E%7B2%7D%7D%7D%7B2%7D%7D)
Clearing "t"
![\boldsymbol{\sf{t=\sqrt{\dfrac{2d}{a} } } }](https://tex.z-dn.net/?f=%5Cboldsymbol%7B%5Csf%7Bt%3D%5Csqrt%7B%5Cdfrac%7B2d%7D%7Ba%7D%20%20%7D%20%20%7D%20%7D)
The distance is in Kilometers, we first need to pass this distance in meters, so we'll need to do our conversion:
![\boldsymbol{\sf{1.6\not{km}*\dfrac{1000 \ m}{1\not{km}}=1600 \ m } }](https://tex.z-dn.net/?f=%5Cboldsymbol%7B%5Csf%7B1.6%5Cnot%7Bkm%7D%2A%5Cdfrac%7B1000%20%5C%20m%7D%7B1%5Cnot%7Bkm%7D%7D%3D1600%20%5C%20m%20%20%7D%20%7D)
1.6 km = 1600m
Substituting our data into the formula:
![\boldsymbol{\sf{t=\sqrt{\dfrac{2d}{a} }=\sqrt{\dfrac{2(1600 \ m) }{9.45 \ \frac{m}{s^2} } }=84.32 \ s } }](https://tex.z-dn.net/?f=%5Cboldsymbol%7B%5Csf%7Bt%3D%5Csqrt%7B%5Cdfrac%7B2d%7D%7Ba%7D%20%20%7D%3D%5Csqrt%7B%5Cdfrac%7B2%281600%20%5C%20m%29%20%7D%7B9.45%20%5C%20%5Cfrac%7Bm%7D%7Bs%5E2%7D%20%20%7D%20%20%7D%3D84.32%20%5C%20s%20%20%20%7D%20%7D)
So the motorcycle will take 84.32 seconds to travel 1600 meters.
b) Since we are asked to obtain the speed in the time it took for the 1600 meters, we are going to use the following formula.
![\boldsymbol{\sf{V_{f}=at }}](https://tex.z-dn.net/?f=%5Cboldsymbol%7B%5Csf%7BV_%7Bf%7D%3Dat%20%7D%7D)
Substituting our data:
![\boldsymbol{\sf{V_{f}=at=\left(0.45 \ \dfrac{m}{\not{s^{2}} }\right)(84.23 \ s)=37.94 \ \dfrac{m}{s} }}](https://tex.z-dn.net/?f=%5Cboldsymbol%7B%5Csf%7BV_%7Bf%7D%3Dat%3D%5Cleft%280.45%20%5C%20%5Cdfrac%7Bm%7D%7B%5Cnot%7Bs%5E%7B2%7D%7D%20%7D%5Cright%29%2884.23%20%5C%20s%29%3D37.94%20%5C%20%5Cdfrac%7Bm%7D%7Bs%7D%20%20%20%7D%7D)
In order to express the final result of the speed, in terms of km/h, we would only apply the conversion factors.
![\boldsymbol{\sf{V_{f}=37.94\dfrac{\not{m}}{\not{s}}*\dfrac{1 \ km}{1000\not{m}}*\dfrac{3600\not{s}}{1 \ h}=136.58 \ \dfrac{km}{h} }}](https://tex.z-dn.net/?f=%5Cboldsymbol%7B%5Csf%7BV_%7Bf%7D%3D37.94%5Cdfrac%7B%5Cnot%7Bm%7D%7D%7B%5Cnot%7Bs%7D%7D%2A%5Cdfrac%7B1%20%5C%20km%7D%7B1000%5Cnot%7Bm%7D%7D%2A%5Cdfrac%7B3600%5Cnot%7Bs%7D%7D%7B1%20%5C%20h%7D%3D136.58%20%5C%20%5Cdfrac%7Bkm%7D%7Bh%7D%20%20%20%20%20%7D%7D)
The answer is the third option. add up all the test scores and divide them by the number of people whose scores you added
which would be three people
Answer:
The graph is skewed left
Step-by-step explanation:
Skewed left means "less" data points on left.
Skewed right means "less" data points on right.
Most of the data points, lie to the right of the figure. The middle value, between 7th and 8th number, is "8". We can separate the figure with middle value of "8". Then we can see that most data points lie to the right.
That would make the dot plot "skewed left".
Answer:
x=20
Step-by-step explanation: