📘 algebra, geometry

1. Write $9.02 \times 10^{5}$ as an ordinary number. To convert from standard form, multiply 9.02 by $10^{5} = 100000$.

1. **Problem 12a:** Find the prime factorization of 576 using exponents. 2. Start by dividing 576 by the smallest prime 2 repeatedly:

1. **Find the total surface area of a cone and explain the terms.** The total surface area $A$ of a cone is given by the formula:

1. **Problem statement:** (i) Given the pattern ৮, ১৩, ১৮, ২৩, ... or numerically 8, 13, 18, 23, ...

1. The problem involves matching or filling in blanks for several math concepts: 2. Bisect means to divide into 2 equal parts.

1. **Solve $8x^{2} + 6x - 2 = 0$ using quadratic formula.** The quadratic formula is given by: $$x = \frac{-b \pm \sqrt{b^{2} - 4ac}}{2a}$$

1. **Problem:** Solve for $x$ if $\log_2(3x - 1) = 5$. 2. **Step 1:** Rewrite the logarithmic equation in exponential form:

1. Solve the equation $2^{2x-5} = 8^0$. Since $8^0 = 1$, we have: $$2^{2x-5} = 1$$