The value of f(2) is the y-coordinate of the point where x = 2. So, f(2) = 4.
20 - 15 = 5 sheep
809 * 29 = 23461 ==> 23500
Press the "2nd" button and the sin, cos, and tan buttons should be inverted.
We are given that 3% of the coal's weight is in sulfur.
\(3\%(3390) = \frac{3}{100}(3390) = \boxed{101.7}\) pounds.
While these numbers may have been spammed on a keyboard, it's certainly doable.
\(n + \frac{764}{5764} + 22456 + n - 6 + 111111111 =\boxed{ 2n + \frac{160111111102496}{1441}.}\)
32 = 2^5
45 = 3^2 * 5
32 and 45 have no factors in common, so 32/45 is already simplified.
\(\frac{3}{7} \div \frac{2}{3}=\frac{3}{7} \cdot \frac{3}{2} =\boxed{\frac{9}{14}}\)
223 is prime, so none of these numbers divide into it.
\(\frac{2x+4}{x^2+4x-5} = \frac{2-x}{x+5}\)
\((2x+4)(x+5) = (2-x)(x^2+4x-5)\)
\(2(x+2)(x+5) = -(x-2)(x+5)(x-1)\)
\(2(x+2) = -(x^2-3x+2)\)
\(2x+4 = -x^3+3x-2\)
\(x^2 - x + 6 = 0\)
\(\boxed{x = -3, 2}\)
You could always use the web2.0calc calculator to do it for you, but if you're interested:
sqrt(2) is about 1.41421356237309504880168872420969.
\(16 \cdot 6 = 16+16+16+16+16+16 = \boxed{96}\)
(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 \(\frac{25\pi}{225\pi} = \boxed{\frac{1}{9}}.\)
\(9 \cdot 15 = 15+15+15+15+15+15+15+15+15 = \boxed{135}\)
(adding fifteen 9 times)
Alternately, you could add 9 fifteen times.
Find the prime factorization of both numbers first.
36 = 2^2 * 3^2
48 = 2^4 * 3
As you can see, 36 and 48 both have 2^2 and 3 as factors, so the GCF is 2^2 * 3 = 12.
\((4\sqrt{3})(6\sqrt{2}) = 12\sqrt{6} \approx \boxed{29.394}\)
To the nearest integer, this is equal to 29.
This problem is asking to factor 49y^2 - 9z^2. Notice that this is a difference of squares: (7y^2 + 3z)(7y^2 - 3z).
