The core of mathematics is based on Arithmetic Operations. These include the processes of addition, subtraction, multiplication, and division. These processes are not just limited to simple calculations but extend to complex equations as well. To put it simply, addition is the process of combining values, subtraction is the act of removal, multiplication proportionally enhances values, and division evenly distributes values. These operations are the building blocks for more intricate mathematical concepts.
| Topic | Problem | Solution |
|---|---|---|
| None | ons of Functions For $f(x)=1-x$ and $g(x)=4 x^{2}… | Given functions are \(f(x) = 1 - x\) and \(g(x) = 4x^2 + x + 4\) |
| None | (2) Identify each sequence as arithmetic or geome… | Identify each sequence as arithmetic or geometric. An arithmetic sequence is one in which the diffe… |
| None | Mathematics - 6 th grade Unit prices with customa… | First, we need to convert the weight from pounds to ounces since the question asks for the price pe… |
| None | NUMBER THEORY AND THE REAL NUMBER SYSTEM Writing … | Let's convert the improper fraction \(\frac{18}{7}\) to a mixed number. |
| None | Perform the indicated calculation. \[ { }_{50} P_… | The problem is asking for the permutation of 50 items taken 2 at a time. The formula for permutatio… |
| None | 15 points Order the following numbers from least … | We need to compare the three numbers \(-\frac{\pi}{2}\), \(-1 \frac{1}{3}\), and \(-\sqrt{2}\) to o… |
| None | Evaluate ${ }_{9} C_{2}$ | The problem is asking for the combination of 9 items taken 2 at a time. |
| None | Evaluate the binomial coefficient. \[ \left(\begi… | We are given the binomial coefficient to evaluate as \(\begin{array}{l} 13 \\ 10 \end{array}\) |
| None | Find the sum of the first 14 terms of the geometr… | We are given a geometric sequence where each term is multiplied by -2 to get the next term. The fir… |
| None | Express the following number in scientific notati… | The given number is \(850 imes 10^{6}\). |
| None | 24. Name the first five terms of the arithmetic s… | The first term of the arithmetic sequence is given as -16 and the common difference is -6. |
| None | b) the sum of the first 6 terms of the following … | This 6-term geometric series has first term $a_0 = 7$ and ratio $2$, so it has value |
| None | Evaluate \( { }_{9} P_{3} \) | \( { }_{9} P_{3} = \frac{9!}{(9 - 3)!} \) |
| None | Divide the following complex numbers: \( \frac{2+… | \(\frac{2+i}{3-2i} \cdot \frac{3+2i}{3+2i}\) |
| None | Write the number in standard (decimal) notation: … | \( 9.73 \times 10^{-2} \) |
| None | Write the number in scientific notation: \[ 0.091… | \(0.0913 = 9.13 \times 10^{-2}\) |
| None | Find the cube root of \[ 4-4 \sqrt{3} i \] that g… | \[r = \sqrt[6]{\left|4-4\sqrt{3}i\right|} = \sqrt[6]{64}\] |
| None | A certain human red blood cell has a diameter of … |