Answer:
D
Step-by-step explanation:
you first have to find the domain by finding where the expression is defined
so the answer would be x>5
Answer:
3000 is your answer
Step-by-step explanation:
The 3 in the hundreds place if the number 587,349 has a value of 300. This 300 is 1/10 the value of the number you're looking for, so if x is the number you're looking for, then
![300 = \frac{1}{10} x](https://tex.z-dn.net/?f=300%20%3D%20%20%5Cfrac%7B1%7D%7B10%7D%20x)
![300 \times 10 = \frac{1}{10} x \times 10](https://tex.z-dn.net/?f=300%20%5Ctimes%2010%20%3D%20%20%5Cfrac%7B1%7D%7B10%7D%20x%20%5Ctimes%2010)
![3000 = x](https://tex.z-dn.net/?f=3000%20%3D%20x)
x is your answer.
Answer:
The rectangle has a width of 4 and a height of 8
Step-by-step explanation:
Let the height of the rectangle be H and the width be W.
We know the height of the rectangle is twice the width, so:
H = 2W
The area of a rectangle, A, is given by A = W * H, so in this case:
32 = W * 2W
32 = 2W²
W² = 16
W = 4
Knowing that the width is 4, the height must be 8. This gives us an area of 32.
X=1. Chose C. Hoped that will help
The surface area of a sphere is given by
![S = 4\pi r^2](https://tex.z-dn.net/?f=S%20%3D%204%5Cpi%20r%5E2)
We deduce
![r = \sqrt{\dfrac{S}{4\pi}}](https://tex.z-dn.net/?f=r%20%3D%20%5Csqrt%7B%5Cdfrac%7BS%7D%7B4%5Cpi%7D%7D)
So, in your case, the radius is
![r = \sqrt{\dfrac{100\pi}{4\pi}}=\sqrt{25}=5](https://tex.z-dn.net/?f=r%20%3D%20%5Csqrt%7B%5Cdfrac%7B100%5Cpi%7D%7B4%5Cpi%7D%7D%3D%5Csqrt%7B25%7D%3D5)
The volume of a sphere is given by
![V=\dfrac{4}{3}\pi r^3](https://tex.z-dn.net/?f=V%3D%5Cdfrac%7B4%7D%7B3%7D%5Cpi%20r%5E3)
So, we have
![V = \dfrac{4}{3} \pi 5^3 = \dfrac{500}{3}\pi](https://tex.z-dn.net/?f=V%20%3D%20%5Cdfrac%7B4%7D%7B3%7D%20%5Cpi%205%5E3%20%3D%20%5Cdfrac%7B500%7D%7B3%7D%5Cpi)