Answer:
172
Step-by-step explanation:
The formula for the missing term of a geometric sequence is the square root of x times y.
Answer:
Area of A = 32ft
Area of B = 36ft
Step-by-step explanation:
All you need to do to solve is multiply width * length * height.
If you do so,
Area of A = 3 * 2 * 5 1/3
= 6 * 16/3
= 32
Area of B = 6 * 4 * 1 1/2
= 24 * 3/2
= 36
Hope this helps!!
Let me know if I'm wrong or you need help in any other problem!!
Answer:
D
Step-by-step explanation:
So we have the equation:
![x^2-6x+58=0](https://tex.z-dn.net/?f=x%5E2-6x%2B58%3D0)
And we want to solve for x.
We can solve it by completing the square.
First, subtract 58 from both sides:
![x^2-6x=-58](https://tex.z-dn.net/?f=x%5E2-6x%3D-58)
Divide the b term by 2 and square it:
![(-6)/2=-3\\(-3)^2=9](https://tex.z-dn.net/?f=%28-6%29%2F2%3D-3%5C%5C%28-3%29%5E2%3D9)
So, add 9 to both sides:
![(x^2-6x+9)=-58+9](https://tex.z-dn.net/?f=%28x%5E2-6x%2B9%29%3D-58%2B9)
On the left, the perfect square trinomial pattern. Add on the right. So:
![(x-3)^2=-49](https://tex.z-dn.net/?f=%28x-3%29%5E2%3D-49)
Take the square root of both sides:
![x-3=\pm \sqrt{-49}](https://tex.z-dn.net/?f=x-3%3D%5Cpm%20%5Csqrt%7B-49%7D)
The square root of -49 is 7i:
![x-3=\pm 7i](https://tex.z-dn.net/?f=x-3%3D%5Cpm%207i)
Add 3 to both sides:
![x=3\pm 7i](https://tex.z-dn.net/?f=x%3D3%5Cpm%207i)
So, our answer is D.
And we're done!
Step-by-step explanation:
We need to use the binomial theorem/Pascal's triangle here.
(a+b)^5 = (5 choose 0)a^5 + (5 choose 1)a^4*b + (5 choose 2)a^3*b^2 + (5 choose 3)a^2*b^3 + (5 choose 4)a*b^4 + (5 choose 5)b^5.
5 choose 0 = 1
5 choose 1 = 5
5 choose 2 = 10
5 choose 3 = 10
5 choose 4 = 5
5 choose 5 = 1
And 1, 5, 10, 10, 5, 1, is the (5+1) = 6th row of pascal's triangle.
Therefore we get
g^5 + 5g^4*2 + 10g^3*2^2 + 10g^2*2^3 + 5g*2^4 + 2^5
which is
g^4 + 10g^4 + 40g^3 + 80g^2 + 80g + 32
Or, you could do the slow way, by just doing (g+2)(g+2)(g+2)(g+2)(g+2)
Answer:
24 hours
Step-by-step explanation:
hoped this helped