🧮 algebra

1. We are asked to calculate $\frac{8.6 \times 10^8}{2 \times 10^{-4}}$ and express the answer in standard form. 2. Recall that dividing numbers in scientific notation involves div

1. The problem asks us to multiply $0.0000003$ by $7.1 \times 10^{-15}$ and express the answer in standard form. 2. First, rewrite $0.0000003$ in scientific notation: $0.0000003 =

1. The problem asks to write the number 0.000060478 in standard form with 3 significant figures. 2. First, identify the first three significant digits: 6, 0, and 4.

1. The problem asks to write 2600 in standard form and to identify the mistake in Nyla's answer, which is $2600 = 26 \times 10^2$.\n\n2. Nyla's mistake is that in standard form, th

1. **State the problem:** We need to find an expression for the area of a composite rectilinear shape made of two rectangles. 2. **Identify the dimensions:**

1. **State the problem:** We have a circle $C$ with equation $$(x - 4)^2 + (y + 2)^2 = 13$$ and a line $L$ with equation $$y = mx + c$$ that passes through the point $(1, -1)$. (a)

1. The problem asks for the middle term in the expansion of $ (p + q)^n $ where $ n $ is even. 2. Recall the binomial expansion formula:

1. The problem involves analyzing a network of avenues and streets with given distances and variables $x_1$, $x_2$, $x_3$, and $x_4$ representing unknown distances or flows. 2. The

1. Намерете неизвестното число $x$ за всяко уравнение: а) Уравнението е $\frac{x \cdot 4 \frac{1}{3}}{-6.5} = \frac{-2 \frac{1}{5}}{-11}$.

1. **Énoncé du problème :** Nous analysons le flot de circulation autour de l'aréna un soir de match. Les variables $x_1, x_2, x_3, x_4$ représentent des flux inconnus entre les in

1. **State the problem:** We need to find an expression for the area of a composite L-shaped figure made of two rectangles. 2. **Identify the dimensions:**

1. Solve for $x$ in the equation $(x + 12)(3x - 8) = 0$. Step 1: Set each factor equal to zero.

1. The problem asks for the square root of 25 expressed as a surd. 2. A surd is an expression containing a root that cannot be simplified to remove the root.

1. The problem is to complete the addition pyramid where each number is the sum of the two numbers directly below it. 2. The top number is given as $1 \frac{1}{5} = \frac{6}{5}$.

1. The problem is to complete the addition pyramid where each number above is the sum of the two numbers directly below it. 2. The pyramid has three levels:

1. The problem is to complete the addition pyramid where each box above is the sum of the two boxes directly below it. 2. The bottom row fractions are $\frac{1}{3}$, $\frac{1}{7}$,

1. The problem is to evaluate the summation $$\sum_{i=3}^6 2^i$$. 2. This means we need to find the sum of powers of 2 starting from $i=3$ up to $i=6$:

1. The problem is to complete the addition pyramid where each number above is the sum of the two numbers directly below it. 2. The bottom row has three fractions: $\frac{1}{4}$, $\

1. **State the problem:** We have three triangles each with three numbers at vertices and a number inside a rectangle. The top vertex numbers are 3, 9, and 15. The bottom-left and

1. **State the problem:** We need to graph the piecewise function $$f(x) = \begin{cases} 2 & \text{if } x \leq -3 \\ x & \text{if } -3 < x \leq 3 \\ 2 & \text{if } x > 3 \end{cases

1. Problem 6: Given that $P=3$ when $n=1$, determine which equation might represent the pattern. Check each option by substituting $n=1$: