| Topic | Problem | Solution |
|---|---|---|
| None | Line $L_{1}$ has equation $y=3 x+5$ Line $L_{2}$ … | Find the gradients of the lines: $m_{L_1} = 3$, $m_{L_2} = -\frac{1}{3}$ |
| None | Solve the equation. \[ 9[3-(-2 x-1)]=72 x+63 \] T… | Distribute the 9 on the left side of the equation to get \(18x + 27 = 72x + 63\). |
| None | 5. You serve a volleyball with a mass of $2.1 \ma… | Given mass (m) = 2.1 kg and velocity (v) = 30.0 m/s |
| None | Solve the equation. \[ \frac{5}{6} x-3 x+\frac{4}… | The given equation is a linear equation in one variable, x. To solve for x, we need to simplify the… |
| None | SparX 5: Item B Bookwork code: Q77 What is $1 \%$… | Given that 20\% of Dan's number is 160, we can set up an equation: \(0.20 * x = 160\) |
| None | An astronaut on the moon throws a baseball upward… | We are given the height equation of the ball as \(s = -2.7t^2 + 40t + 6.5\), where \(s\) is the hei… |
| None | \[ (x+4)(x+3) \] Part 5: Perfect Squares a) $x^{2… | Expand the expression $(x+4)(x+3)$ using the distributive property (FOIL method): \(x^2 + 7x + 12\) |
| None | Completely factor the expression by grouping, if … | Rewrite the expression as a combination of two pairs of terms that have common factors. The first t… |
| None | distributive property: \[ \begin{array}{l} 3\left… | Expand the given expression $(3x+5)^2$ using the distributive property: $(3x+5)(3x+5) = 9x^2 + 15x … |
| None | In 1996, the sports league introduced a salary ca… | Given the quadratic model \(y=0.2313 x^{2}+2.600 x+35.17\) which approximates the sports league sal… |
| None | $64^{\frac{5}{3}}+\sqrt[3]{729 \cdot 2744}+6,3 \t… | Calculate \(64^{\frac{5}{3}}\), \(\sqrt[3]{729 \cdot 2744}\), \(6.3 \times 10^{-1}\), \(\sqrt{81}\)… |
| None | A projectile is launched from ground level with a… | We are given the equation of motion for the projectile as \(s=-16 t^{2}+v_{0} t\). We are asked to … |
| None | At a point on the ground $70 \mathrm{ft}$ from th… | This problem can be solved using the Pythagorean theorem. The Pythagorean theorem states that in a … |
| None | $\begin{array}{l}y=r \sin \theta \\ y=6 \sin 90\e… | Convert 90 degrees to radians: \(\theta = \frac{90 \times \pi}{180} = \frac{\pi}{2}\) |
| None | ssume the random variable $x$ is normally distrib… | Given a normally distributed random variable $x$ with mean $\mu=89$ and standard deviation $\sigma=… |
| None | The outside of a picture frame has a length which… | We are given that the length of the picture frame is 3 cm more than the width. Let's denote the wid… |
| None | The mat and frame around the picture shown measur… | The area of a rectangle is given by the formula length * width. In this case, the length and width … |
| None | One-third of a number is 12. Work out one-half of… | Find the number: \(12 \times 3 = 36\) |
| None | 1. Chapter 12. Population mean (20 points) The ar… | \(\mathscr{M} = (\overline{X} - E, \overline{X} + E)\) |
| None | Evaluate the expression, or state that the expres… | Find the square root of 16: \(\sqrt{16}\) |
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