Answer:
(5,11)
(0,1)
(-2,-3)
Step-by-step explanation:
y=2(5)+1
y=10+1
y=11
so... (5,11)
y=2(0)+1
y=0+1
y=1
so... (0,1)
y=2(-2)+1
y=-4+1
y=-3
so... (-2,-3)
Answer:
8
4 --
11
Step-by-step explanation:
The gear ratio for the original gear system was 4/22. To get the 22 inch wheel to 26 inches, you have to multiply it by 26/22, so to keep the same ratio, you will also need to multiply 4 by 26/22. You get 104/22, which simplifies to 52/11 which simplified further to 4+8/11. You can check your answer by comparing the original ratio to the new ratio.
Answer:
9πi/2
Step-by-step explanation:
![\oint\limits_C {\frac{5z^{2}+4}{(z-1)(z+3)} } \, dz,\ C: |z|=2](https://tex.z-dn.net/?f=%5Coint%5Climits_C%20%7B%5Cfrac%7B5z%5E%7B2%7D%2B4%7D%7B%28z-1%29%28z%2B3%29%7D%20%7D%20%5C%2C%20dz%2C%5C%20C%3A%20%7Cz%7C%3D2)
Let f(z) = (5z² + 4) / (z + 3).
![\oint\limits_C {\frac{f(z)}{z-1} } \, dz,\ C: |z|=2](https://tex.z-dn.net/?f=%5Coint%5Climits_C%20%7B%5Cfrac%7Bf%28z%29%7D%7Bz-1%7D%20%7D%20%5C%2C%20dz%2C%5C%20C%3A%20%7Cz%7C%3D2)
Using Cauchy's integral formula:
![2\pi i\ f(1)\\2\pi i\ (\frac{5(1)^{2}+4}{1+3}) \\2\pi i\ (\frac{9}{4}) \\\frac{9\pi i}{2}](https://tex.z-dn.net/?f=2%5Cpi%20i%5C%20f%281%29%5C%5C2%5Cpi%20i%5C%20%28%5Cfrac%7B5%281%29%5E%7B2%7D%2B4%7D%7B1%2B3%7D%29%20%5C%5C2%5Cpi%20i%5C%20%28%5Cfrac%7B9%7D%7B4%7D%29%20%5C%5C%5Cfrac%7B9%5Cpi%20i%7D%7B2%7D)
C/-7+3.2=2.7
Step 1) Add 7 to both sides because what you do to one side you must do to the other
C/<u>-7</u>+3.2=<u>2.7</u>
<u> +7 +7
</u> C/+3.2=9.7
Step 2) Subtract 3.2 from both side
C/<u>+3.2</u>=<u>9.7
</u> <u> -3.2 -3.2
</u> C/=6.5
Your answer is C=6.5<u>
</u>
Let us assume that the number of days she practiced the piano to be "d"
Since she practiced 2/3 hours a day, the total number of hours would be: 2/3*d
Now we are given the total number of hours during summer that she practiced be be equal to 32/23
So we equate 2/3 * d to 32/23 to find d
2/3*d = 32/23
d = (32/23)/ (2/3)
d = (32/23) * (3/2)
d = 48/23 hours
The equation that can be used to find the number of days that she practiced piano during the summer is 2/3*d = 32/23