Questions in mathematics

Questions in mathematics

📝 Answered - Fifteen percent of the pigment in paint color A is black. Sixty percent of the pigment in paint color B is black. An unknown amount of paint color B is mixed with 40 ml of paint color A, resulting in a paint that contains $25 \%$ black pigment. Which equation can be used to solve for $x$, the total amount of paint in the mixture of the two colors? $0.15(40)+0.6 x=0.25(40+x)$ $0.15(40)+0.6(x-40)=0.25(x)$ $0.15(40)+0.6 x=0.25(40-x)$ $0.15(40)+0.6(x+40)=0.25(x)$

📝 Answered - What is $4.05 \times 10^6$ written in standard form? A. 405,000 B. 4,050,000 C. 40,500,000 D. 40,500

📝 Answered - b. [tex]c=-\frac{1}{3}\left[b+\frac{1}{a}(v-1)\right][/tex] 25. Find the product of ([tex](\operatorname{ard} \sqrt{y}-3 y) (3 y+2 \sqrt{y})[/tex]

📝 Answered - Solve the system by substitution. Check your solution. [tex]a-12 b=-3[/tex] [tex]0.2 b+0.6 a=12[/tex] A. [tex](15,15)[/tex] B. [tex](10,12)[/tex] C. [tex](13,12)[/tex] D. [tex](7,9)[/tex]

📝 Answered - What's the least common denominator (LCD) for the group of fractions: [tex]$\frac{3}{4}$[/tex] and [tex]$\frac{7}{10}$[/tex] ? Select one of four 30 15 40 20

📝 Answered - Which system is equivalent to $\left\{\begin{array}{l}5 x^2+6 y^2=50 \\ 7 x^2+2 y^2=10\end{array} ?\right. $\left\{\begin{array}{r}5 x^2+6 y^2=50 \\ -21 x^2-6 y^2=10\end{array}\right. $\left\{\begin{aligned} 5 x^2+0 y^2 & =50 \\ -21 x^2-6 y^2 & =30\end{aligned}\right. $\left\{\begin{aligned} 35 x^2+42 y^2 & =250 \\ -35 x^2-10 y^2 & =-50\end{aligned}\right. p. $\left\{\begin{array}{l}35 x^2+12 y^2=350 \\ -35 x^2-10 y^2=-50\end{array}\right.

📝 Answered - (a) A continuous random variable $x$ has a probability density function defined $f(x)=\left{\begin{array}{cc} k\left(x-\frac{1}{a}\right), & 0 \leq x \leq 3 \\ 0, & \text { elsewhere } \end{array}\right.$ Given that $P ( x \geq 1)=0.8$, determine the: (i) values of the constants a and k ; (ii) mean of $x$.

📝 Answered - A boat's triangular sail, PQR, is such that the side $PQ =9 cm, PR =10 cm, \measuredangle Q =90^{\circ}$ and $\measuredangle RPQ =25^{\circ}$. Calculate the area of the triangle, correct to 2d.p. $\begin{array}{l} {\left[\operatorname{Sin} 25^{\circ}=0.4226, \operatorname{Cos} 25^{\circ}=0.9063\right.\ \left.\tan 25^{\circ}=0.4663\right]} $\end{array} A. $27.43 cm^2$ B. $19.02 cm^2$ C. $18.41 cm^2$ D. $16.30 cm^2

📝 Answered - Directions: Respond to the prompt with a response with multiple sentences. Use details about Rigid Transformations as much as possible. Not sure how to start? Use your response to demonstrate your ability to make connections: text-to-text, text-to-self, and/or text-to-world. Warm-up Prompt/Materials: Give an example of a Rigid Transformation and a Non-Rigid Transformation on an object in the real world. Can all objects in the real world be transformed rigidly or non-rigidly? Explain. Think of an object that you move regularly and the effect that moving it has. Rigid motion should not change the object shape whereas non-rigid transformation may change the shape. Warm Up Exercise: QUESTION 1

📝 Answered - Find the equation of the line passing through the points $(6,3)$ and $(-4,3)$. $y=[?]$