Answer:
Step-by-step explanation:
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Good evening ,
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2(7) + 5(1) + 3(-3) = 10
3(7) - (1) + 4(-3) = 8
5(7) - 2(1) + 7(-3) = 12
Then (7,1,-3) is a solution to system
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:)
Answer: The number of times Gavin expect to roll an even number =24
Step-by-step explanation:
Given: Numbers of a fair dice = 1, 2, 3, 4, 5, 6
even numbers = 2, 4, 6
odd numbers = 1, 3, 5
Probability of getting an even number = 
If Gavin rolls a fair dice 48 times.
Then, the number of times Gavin expect to roll an even number = 
Hence, the number of times Gavin expect to roll an even number =24
Answer:
So, the volume V is

Step-by-step explanation:
We have that:

We have the formula:

We calculate the volume V, we get
![V=2\pi\int_a^b x(g(x)-f(x))\, dx\\\\V=2\pi\int_0^1 x(7x-0)\, dx\\\\V=2\pi\int_0^1 7x^2\, dx\\\\V=2\pi\cdot 7\left[\frac{x^3}{3}\right]_0^1\\\\V=14\pi\left(\frac{1}{3}-\frac{0}{3}\right)\\\\V=\frac{14\pi}{3}](https://tex.z-dn.net/?f=V%3D2%5Cpi%5Cint_a%5Eb%20x%28g%28x%29-f%28x%29%29%5C%2C%20dx%5C%5C%5C%5CV%3D2%5Cpi%5Cint_0%5E1%20x%287x-0%29%5C%2C%20dx%5C%5C%5C%5CV%3D2%5Cpi%5Cint_0%5E1%207x%5E2%5C%2C%20dx%5C%5C%5C%5CV%3D2%5Cpi%5Ccdot%207%5Cleft%5B%5Cfrac%7Bx%5E3%7D%7B3%7D%5Cright%5D_0%5E1%5C%5C%5C%5CV%3D14%5Cpi%5Cleft%28%5Cfrac%7B1%7D%7B3%7D-%5Cfrac%7B0%7D%7B3%7D%5Cright%29%5C%5C%5C%5CV%3D%5Cfrac%7B14%5Cpi%7D%7B3%7D)
So, the volume V is

We use software to draw the graph.
Answer:
youll have to show the problems to get an answer!
Step-by-step explanation:
I believe the answer is B
:)