Answer:
The recoil velocity of the gun is
and is pointing in opposite direction to the velocity of the bullet.
Step-by-step explanation:
Use conservation of linear momentum, which states that the momentum of the bullet (product of the bullet's mass times its speed) should equal in absolute value the momentum of the recoiling gun (its mass times its recoil velocity).
We also write the mass of the bullet in the same units as the mass of the gun (for example kilograms). Mass of the bullet = 0.010 kg
In mathematical terms, we have:
![5\, kg * v= 0.01 \,kg\,* 360\,\frac{km}{h} \\v=\frac{0.01\,*360}{5} \,\,\frac{km}{h}\\v=0.72\,\,\frac{km}{h}](https://tex.z-dn.net/?f=5%5C%2C%20kg%20%2A%20v%3D%200.01%20%5C%2Ckg%5C%2C%2A%20360%5C%2C%5Cfrac%7Bkm%7D%7Bh%7D%20%5C%5Cv%3D%5Cfrac%7B0.01%5C%2C%2A360%7D%7B5%7D%20%5C%2C%5C%2C%5Cfrac%7Bkm%7D%7Bh%7D%5C%5Cv%3D0.72%5C%2C%5C%2C%5Cfrac%7Bkm%7D%7Bh%7D)
Answer:
The interval that would represent the middle 68% of the scores of all the games that Riley bowls is (147, 173).
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 160, standard deviation of 13.
Middle 68% of the scores of all the games that Riley bowls.
Within 1 standard deviation of the mean, so:
160 - 13 = 147.
160 + 13 = 173.
The interval that would represent the middle 68% of the scores of all the games that Riley bowls is (147, 173).
Answer: yay thxs
Step-by-step explanation:
Answer:
![ln{\frac{(p+q)^3}{q^2p^7} }](https://tex.z-dn.net/?f=ln%7B%5Cfrac%7B%28p%2Bq%29%5E3%7D%7Bq%5E2p%5E7%7D%20%7D)
Step-by-step explanation:
3 ln(p + q) − 2 ln(q) − 7 ln(p)
=ln(p+q)^3- ln(q)^2-ln(p)^7
= ln(p+q)^3-{ln(q)^2+ln(p)^7}
=ln(p+q)^3-ln(q)^2*(p)^7
=ln{ (p+q)^3÷(q)^2*(p)^7}
=![ln{\frac{(p+q)^3}{q^2p^7} }](https://tex.z-dn.net/?f=ln%7B%5Cfrac%7B%28p%2Bq%29%5E3%7D%7Bq%5E2p%5E7%7D%20%7D)
The yard of fabric that Melissa has is 6 inches squared since there are 36 inches in a yard and 6 times 6 is 36. The footrest has a surface area of 902 inches squared since the surface area of a rectangular prism is 2(lw+wh+lh).