Convert 6.5% to a number that can be used:
6.5%/100 = 0.06
Find out how much you are going to pay due to tax by multiplying the decimal by the total of the meal:
0.06 × $7.50 = $0.49
Now that we know that the tax will make you pay 49 cents more, we can add up $0.49 and the meal to see how much we are going to pay for the whole thing:
$7.50 + $0.49 = $7.99
Answer: $7.50 a meal + 6.5% = $7.99
Answer:
![\large\boxed{x](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7Bx%3C%5Cdfrac%7B6%7D%7B7%7D%7D)
Step-by-step explanation:
![\dfrac{7x}{3}](https://tex.z-dn.net/?f=%5Cdfrac%7B7x%7D%7B3%7D%3C2%5Cqquad%5Ctext%7Bmultiply%20both%20sides%20by%203%7D%5C%5C%5C%5C3%5C%21%5C%21%5C%21%5C%21%5Cdiagup%5E1%5Ccdot%5Cdfrac%7B7x%7D%7B3%5C%21%5C%21%5C%21%5C%21%5Cdiagup_1%7D%3C%283%29%282%29%5C%5C%5C%5C7x%3C6%5Cqquad%5Ctext%7Bdivide%20both%20sides%20by%207%7D%5C%5C%5C%5Cx%3C%5Cdfrac%7B6%7D%7B7%7D)
Answer:
Parallel, since
.
Step-by-step explanation:
The relation between both vectors is determined by the use of the dot product, whose expression is:
![\cos \theta = \frac{\vec u \bullet \vec v}{\|\vec u\| \|\vec v\|}](https://tex.z-dn.net/?f=%5Ccos%20%5Ctheta%20%3D%20%5Cfrac%7B%5Cvec%20u%20%5Cbullet%20%5Cvec%20v%7D%7B%5C%7C%5Cvec%20u%5C%7C%20%5C%7C%5Cvec%20v%5C%7C%7D)
Where:
if vectors are parallel to each other and
if vectors are orthogonal. Then, norms and dot product are calculated hereafter:
![\|\vec u\| = \sqrt{18^{2}+8^{2}}](https://tex.z-dn.net/?f=%5C%7C%5Cvec%20u%5C%7C%20%3D%20%5Csqrt%7B18%5E%7B2%7D%2B8%5E%7B2%7D%7D)
![\|\vec u\| \approx 19.698](https://tex.z-dn.net/?f=%5C%7C%5Cvec%20u%5C%7C%20%5Capprox%2019.698)
![\|\vec v \| = \sqrt{9^{2}+4^{2}}](https://tex.z-dn.net/?f=%5C%7C%5Cvec%20v%20%5C%7C%20%3D%20%5Csqrt%7B9%5E%7B2%7D%2B4%5E%7B2%7D%7D)
![\|\vec v\| \approx 9.849](https://tex.z-dn.net/?f=%5C%7C%5Cvec%20v%5C%7C%20%5Capprox%209.849)
![\vec u \bullet \vec v = (18)\cdot (9) + (8)\cdot (4)](https://tex.z-dn.net/?f=%5Cvec%20u%20%5Cbullet%20%5Cvec%20v%20%3D%20%2818%29%5Ccdot%20%289%29%20%2B%20%288%29%5Ccdot%20%284%29)
![\vec u \bullet \vec v = 194](https://tex.z-dn.net/?f=%5Cvec%20u%20%5Cbullet%20%5Cvec%20v%20%3D%20194)
![\cos \theta = \frac{194}{(19.698)\cdot (9.849)}](https://tex.z-dn.net/?f=%5Ccos%20%5Ctheta%20%3D%20%5Cfrac%7B194%7D%7B%2819.698%29%5Ccdot%20%289.849%29%7D)
![\cos \theta = 1](https://tex.z-dn.net/?f=%5Ccos%20%5Ctheta%20%3D%201)
The two vectors are parallel to each other, which is also supported by the fact that one vector is multiply of the other one. That is,
![18i + 8j = 2\cdot (9i + 4j)](https://tex.z-dn.net/?f=18i%20%2B%208j%20%3D%202%5Ccdot%20%289i%20%2B%204j%29)
![\vec u = 2\cdot \vec v](https://tex.z-dn.net/?f=%5Cvec%20u%20%3D%202%5Ccdot%20%5Cvec%20v)
Answer:
B.)
Step-by-step explanation:
that is a characteristic of a maximum value parabola.
Answer:
3x - 2
Step-by-step explanation: