\(16 \cdot 6 = 16+16+16+16+16+16 = \boxed{96}\)
(Adding sixteen 6 times)
Alternatively, you could add six 16 times.
The area of a circle is \(\pi r^2\) and the circumference is \(2\pi r.\)
\(\frac{\text{area}}{\text{circumference}}=\frac{\pi r^2}{2\pi r}=\frac{r}{2}\)
So, to find the area from circumference, multiply by the radius divided by 2.
The volume is the length multiplied by the width multiplied by the height, so the volume is 4 * 10 * 2 = 80 cm^3.
\(-f(x) = -(4x-7)=-\boxed{4x+7}\)
To simplify this expression, combine like terms. That means putting all the numbers together and all the variables together.
(22 + 19b) + 7 = 29 + 19b
For points \((x_0, y_0)\) and \((x, y)\) the slope is \(\frac{y-y_0}{x-x_0} = \frac{-2-2}{-4-4}= \boxed{-\frac{1}{2}}\)
\(\frac{(x^4y^2)^3}{(x^2y^2)^2} = \frac{x^{12}y^6}{x^4y^4} = \boxed{x^8y^2}\)
I noticed that you used the approximation pi = 3.14.
Dividing, we see that 153.86/3.14 = 49. So, the radius is the square root of 49, or 7.
Use conversion factors.
\(\frac{800 \text{mL}}{1} \cdot \frac{1 \text{L}}{1000 \text{mL}} \cdot 30 = \boxed{24 \text{L}}\)
Area of the entire board = 15^2 * pi = 225pi
Area of the bullseye = 5^2 * pi = 25pi
The probability is \(\frac{25\pi}{225\pi} = \boxed{\frac{1}{9}}.\)
