9514 1404 393
Answer:
-13/11
Step-by-step explanation:
Straightforward evaluation of the expression at x=1 gives (1 -1)/(1 -1) = 0/0, an indeterminate form. So, L'Hopital's rule applies. The ratio of derivatives is ...
![\displaystyle\lim_{x\to 1}\dfrac{n}{d}=\dfrac{n'}{d'}=\left.\dfrac{\dfrac{4}{3\sqrt[3]{4x-3}}-\dfrac{7}{2\sqrt{7x-6}}}{\dfrac{5}{2\sqrt{5x-4}}-\dfrac{2}{3\sqrt[3]{2x-1}}}\right|_{x=1}=\dfrac{4/3-7/2}{5/2-2/3}=\dfrac{8-21}{15-4}\\\\=\boxed{-\dfrac{13}{11}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Clim_%7Bx%5Cto%201%7D%5Cdfrac%7Bn%7D%7Bd%7D%3D%5Cdfrac%7Bn%27%7D%7Bd%27%7D%3D%5Cleft.%5Cdfrac%7B%5Cdfrac%7B4%7D%7B3%5Csqrt%5B3%5D%7B4x-3%7D%7D-%5Cdfrac%7B7%7D%7B2%5Csqrt%7B7x-6%7D%7D%7D%7B%5Cdfrac%7B5%7D%7B2%5Csqrt%7B5x-4%7D%7D-%5Cdfrac%7B2%7D%7B3%5Csqrt%5B3%5D%7B2x-1%7D%7D%7D%5Cright%7C_%7Bx%3D1%7D%3D%5Cdfrac%7B4%2F3-7%2F2%7D%7B5%2F2-2%2F3%7D%3D%5Cdfrac%7B8-21%7D%7B15-4%7D%5C%5C%5C%5C%3D%5Cboxed%7B-%5Cdfrac%7B13%7D%7B11%7D%7D)
Answer:
it wont let me see
Step-by-step explanation:
Answer:
The type of sampling used is the Cluster sampling technique.
Step-by-step explanation:
- Random Sampling
In random sampling, each passenger would have an equal chance of being surveyed. If this particular scenario wanted to use random sampling, they would have used computer generated random passenger numbers and surveyed them, not just passengers all on the same bus picked randomly.
- Systematic sampling is easier than random sampling. In systematic sampling, a particular number, n, is counted repeatedly and each of the nth passengers is picked to be sampled.
- Convenience Sampling
This is the worst sampling technique. It is also the easiest. In Convenience sampling, the surveyor just surveys the first set of passengers that they find.
- Stratified Sampling
Stratified sampling divides the population into groups called strata. A sample is taken from each of these strata using either random, systematic, or convenience sampling.
- Cluster sampling
Cluster Sampling divides the population into groups which are called clusters or blocks (the different buses). The clusters are selected randomly, and every element in the selected clusters is surveyed (each passenger on the selected buses, is surveyed!). Evidently the answer to the question!
So its asking you to find the gravity on earth relative to the gravity on mars.
Set up an equation to figure out the difference between the two gravities
x=.38
I don't know what constant of proportionality is in this context but a ball on mars would weigh .38 the amount that it does on earth.
Answer:
a = 1
Step-by-step explanation:
Given the point (a, 3) is on the line: 5x + y = 8.
Any point on the line satisfies the equation.
So, (a, 3) should satisfy the equation 5x + y = 8
Substituting x = a and y = 3, we get:
5(a) + 3 = 8

⇒ a = 1
Therefore, (1, 3) is the point on the line.