Answer:
For every 3 dollars donated, one puppy is adopted
Step-by-step explanation:
so rise would be money, run would be number of puppies adopted
Hi there!
![\large\boxed{a = 6 m/s^{2}}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7Ba%20%3D%206%20m%2Fs%5E%7B2%7D%7D)
Use the kinematic equation to solve for acceleration:
![a = \frac{v_{f}-v_{i}}{t}](https://tex.z-dn.net/?f=a%20%3D%20%5Cfrac%7Bv_%7Bf%7D-v_%7Bi%7D%7D%7Bt%7D)
Where:
vf = final velocity
vi = initial velocity
t = time
Plug in the given values:
![a = \frac{65-35}{5}\\\\a = 30 / 5 \\\\=6 m/s^{2}](https://tex.z-dn.net/?f=a%20%3D%20%5Cfrac%7B65-35%7D%7B5%7D%5C%5C%5C%5Ca%20%3D%2030%20%2F%205%20%20%5C%5C%5C%5C%3D6%20m%2Fs%5E%7B2%7D)
Answer:
it's not 100 or 102, just took the test and got them both wrong.
Step-by-step explanation:
.
Answer:
(1, 4.5 )
Step-by-step explanation:
The required point is at the midpoint of AB
Use the midpoint formula
Given A(4, 3) and B(- 2, 6 ), then
midpoint = [ 0.5(4 - 2), 0.5(3 + 6) ] = (1, 4.5 )
Answer:
![-\dfrac{4a^{12}b^8}{5}](https://tex.z-dn.net/?f=-%5Cdfrac%7B4a%5E%7B12%7Db%5E8%7D%7B5%7D)
Step-by-step explanation:
The applicable rules of exponents are ...
![\dfrac{1}{a^{-b}}=a^b\\\\a^ba^c=a^{b+c}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7Ba%5E%7B-b%7D%7D%3Da%5Eb%5C%5C%5C%5Ca%5Eba%5Ec%3Da%5E%7Bb%2Bc%7D)
Your ratio simplifies to ...
![\dfrac{-8a^8b^{-2}}{10a^{-4}b^{-10}}=-\dfrac{4}{5}a^{8-(-4)}b^{-2-(-10)}\\\\=-\dfrac{4a^{12}b^8}{5}](https://tex.z-dn.net/?f=%5Cdfrac%7B-8a%5E8b%5E%7B-2%7D%7D%7B10a%5E%7B-4%7Db%5E%7B-10%7D%7D%3D-%5Cdfrac%7B4%7D%7B5%7Da%5E%7B8-%28-4%29%7Db%5E%7B-2-%28-10%29%7D%5C%5C%5C%5C%3D-%5Cdfrac%7B4a%5E%7B12%7Db%5E8%7D%7B5%7D)
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Please note that simplifying the constants, -8/10 to -4/5, eliminates half the answer choices. Since exponents are only multiplied when a power is raised to a power, you can pretty much eliminate the second choice as being unreasonable. ((a^b)^c = a^(bc))