The area is 70in^2 because you find the area of the square without the missing piece then subtract area of missing piece from total
Answer:
The cubic centimeters of water it will take to fill the bowl is 718.67 cm³
Step-by-step explanation:
Given;
diameter of the hemisphere, d = 14 cm
radius of the hemisphere, r = d/2 = 14/2 = 7 cm
The volume of the hemisphere is calculated as;
![V = \frac{2}{3} \pi r^3\\\\V = \frac{2}{3} \times \frac{22}{7} \times (7 \ cm)^3\\\\V = 718.67 \ cm^3](https://tex.z-dn.net/?f=V%20%3D%20%5Cfrac%7B2%7D%7B3%7D%20%5Cpi%20r%5E3%5C%5C%5C%5CV%20%3D%20%5Cfrac%7B2%7D%7B3%7D%20%5Ctimes%20%5Cfrac%7B22%7D%7B7%7D%20%20%20%5Ctimes%20%287%20%5C%20cm%29%5E3%5C%5C%5C%5CV%20%3D%20718.67%20%5C%20cm%5E3)
The cubic centimeters of water it will take to fill the bowl is 718.67 cm³
The domain of g(x) is [4, 7)
<h3>How to determine the domain of g(x)?</h3>
The function is given as:
g(x) = f(x + 3)
Since f(x) is a function, then g(x) is also a function
The domain of f(x) is given as:
[1, 4)
The equivalent of these values in g(x) are
x = 1 + 3 = 4
x = 4 + 3 = 7
Hence, the domain of g(x) is [4, 7)
Read more about domain at
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Answer: s = -3.3
<u>Step-by-step explanation:</u>
![2-2s=\dfrac{4}{3}s+13\\\\\\\underline{\text{Multiply everything by 3 to clear the denominator:}}\\(3)2-(3)2s=(3)\dfrac{4}{3}s+(3)13\\\\.\qquad 6-6s=4s+39\\\\\\\underline{\text{Add 6s to both sides:}}\\.\qquad 6-6s+6s=4s+6s+39\\\\.\qquad \qquad \qquad 6=10s+39\\\\\\\underline{\text{Subtract 39 from both sides:}}\\.\qquad \qquad 6-39=10s+39-39\\\\.\qquad \quad \quad -33=10s\\\\\\\underline{\text{Divide both sides by 10:}}\\.\qquad \quad \quad \dfrac{-33}{10}=\dfrac{10s}{10}](https://tex.z-dn.net/?f=2-2s%3D%5Cdfrac%7B4%7D%7B3%7Ds%2B13%5C%5C%5C%5C%5C%5C%5Cunderline%7B%5Ctext%7BMultiply%20everything%20by%203%20to%20clear%20the%20denominator%3A%7D%7D%5C%5C%283%292-%283%292s%3D%283%29%5Cdfrac%7B4%7D%7B3%7Ds%2B%283%2913%5C%5C%5C%5C.%5Cqquad%206-6s%3D4s%2B39%5C%5C%5C%5C%5C%5C%5Cunderline%7B%5Ctext%7BAdd%206s%20to%20both%20sides%3A%7D%7D%5C%5C.%5Cqquad%206-6s%2B6s%3D4s%2B6s%2B39%5C%5C%5C%5C.%5Cqquad%20%5Cqquad%20%5Cqquad%206%3D10s%2B39%5C%5C%5C%5C%5C%5C%5Cunderline%7B%5Ctext%7BSubtract%2039%20from%20both%20sides%3A%7D%7D%5C%5C.%5Cqquad%20%5Cqquad%206-39%3D10s%2B39-39%5C%5C%5C%5C.%5Cqquad%20%5Cquad%20%5Cquad%20-33%3D10s%5C%5C%5C%5C%5C%5C%5Cunderline%7B%5Ctext%7BDivide%20both%20sides%20by%2010%3A%7D%7D%5C%5C.%5Cqquad%20%5Cquad%20%5Cquad%20%5Cdfrac%7B-33%7D%7B10%7D%3D%5Cdfrac%7B10s%7D%7B10%7D)
-3.3 = s