Answer: Answer is in the steps read carefully.
Step-by-step explanation:
does not represent a rational number because the square root of 6 is not a perfect square.
This represents a rational number because the square root of 64 is a perfect square which is 8 and if added to a fraction you will get a rational number.
represents a rational number because they are both a perfect square. The square root of 16 is 4 and the square root of 169 is 13.
represents a rational number because since 17.43 repeating can be expressed as a fraction, and the square root of 49 is a perfect square, if added together they will generate a rational number.
Does not represents a rational number because the square root of 44 is not a perfect square and when you add an irrational number and an rational number then you will get an irrational number.
We need to position the four points so they all are on the graph of an exponential function.
As an example of an exponential function, let's use the following function:
![y=2^x](https://tex.z-dn.net/?f=y%3D2%5Ex)
Now, to find where the points should be located, let's choose some values of x and calculate the corresponding values of y:
![\begin{gathered} x=-2:\\ \\ y=2^{-2}=\frac{1}{2^2}=\frac{1}{4}\\ \\ \\ \\ x=-1:\\ \\ y=2^{-1}=\frac{1}{2^1}=\frac{1}{2}\\ \\ \\ \\ x=0:\\ \\ y=2^0=1\\ \\ \\ \\ x=1:\\ \\ y=2^1=2 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x%3D-2%3A%5C%5C%20%5C%5C%20y%3D2%5E%7B-2%7D%3D%5Cfrac%7B1%7D%7B2%5E2%7D%3D%5Cfrac%7B1%7D%7B4%7D%5C%5C%20%5C%5C%20%5C%5C%20%5C%5C%20x%3D-1%3A%5C%5C%20%5C%5C%20y%3D2%5E%7B-1%7D%3D%5Cfrac%7B1%7D%7B2%5E1%7D%3D%5Cfrac%7B1%7D%7B2%7D%5C%5C%20%5C%5C%20%5C%5C%20%5C%5C%20x%3D0%3A%5C%5C%20%5C%5C%20y%3D2%5E0%3D1%5C%5C%20%5C%5C%20%5C%5C%20%5C%5C%20x%3D1%3A%5C%5C%20%5C%5C%20y%3D2%5E1%3D2%20%5Cend%7Bgathered%7D)
Therefore the points should be located at (-2, 1/4), (-1, 1/2), (0, 1), and (1, 2).
Answer:
179 square meters
Step-by-step explanation:
you can look at the figure into 3 different rectangles. 2*7=14, 2*6=12, 17*9=153. 14+12+153=179.
Our two ratios are 4/21 and 3/14
we have to add them together
to do this, they have to have the same denominator
lets give them the denominator of 42
![\frac{3}{14} * \frac{3}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B14%7D%20%2A%20%5Cfrac%7B3%7D%7B3%7D%20)
![\frac{4}{21} * \frac{2}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B4%7D%7B21%7D%20%20%2A%20%5Cfrac%7B2%7D%7B2%7D%20)
9/42 + 8/42 = 17/42
17 out of every 42 cards is faulty