IdeasCuriosas - Every Question Deserves an Answer Logo

Questions in mathematics

[Answered] Arc CD is $\frac{2}{3}$ of the circumference of a circle. What is the radian measure of the central angle? A. $\frac{2 \pi}{3}$ radians B. $\frac{3 \pi}{4}$ radians C. $\frac{4 \pi}{3}$ radians D. $\frac{3 \pi}{2}$ radians

[Answered] Select the correct answer. Justin and Kira use functions to model the heights, in centimeters, of two sunflower plants [tex]$x$[/tex] weeks after transplanting them to the school garden. Function [tex]$J$[/tex] models the height of Justin's plant: [tex]$J(x)=18+6 x$[/tex] Function [tex]$k$[/tex] models the height of Kira's plant: [tex]$k(x)=12+4 x$[/tex] Which function correctly represents how much taller Justin's plant is than Kira's plant, x weeks after they were transplanted to the school garden? A. [tex]$(J-k)(x)=30+10 x$[/tex] B. [tex]$(J-k)(x)=6+10 x$[/tex] C. [tex]$(J-k)(x)=30+2 x$[/tex] D. [tex]$(J-k)(x)=6+2 x$[/tex]

[Answered] Solve the following equation for c. [tex]10^{7 c-3}=d[/tex] c =

[Answered] Which of the following is a monomial? A. [tex]$2 x-y z$[/tex] B. [tex]$2+x y z$[/tex] C. [tex]$2 x y z^2$[/tex] D. [tex]$2 x+y z$[/tex]

[Answered] Each leg of a $45^{\circ}-45^{\circ}-90^{\circ}$ triangle measures 12 cm. What is the length of the hypotenuse? A. 6 cm B. $5 \sqrt{2} cm$ C. 12 cm D. $12 \sqrt{2} cm$

[Answered] Complete the steps to simplify $\sqrt[5]{4} \cdot \sqrt{2}$. Rewrite using rational exponents. $2^{\frac{2}{5}} \cdot 2^{\frac{1}{2}}$ $4^5 \cdot 2^2$ $4^{\frac{1}{6}} \cdot 2^{\frac{1}{7}}$

[Answered] Which of the following equations has an axis of symmetry with the equation [tex]$x=3$[/tex]? a. [tex]$y=x^2+6 x-3$[/tex] c. [tex]$y=2 x^2+6 x-3$[/tex] b. [tex]$y=x^2-6 x+3$[/tex] d. [tex]$y=3 x^2+6 x-3$[/tex]

[Answered] Part D: Explain the Rule Write the divisibility rule for each number below. Rule for 2: Rule for 5: Rule for 10: Rule for 3: Rule for 9: Rule for 11: ***Bonus Challenge Find a number that is divisible by all six rules (2, 5, 10, 3, 9, and 11). Explain why it works. Answer: Explanation:

[Answered] a. Leena and Renu were working on the given number machine. Leena picked the two smallest numbers from the number machine and found their sum. Renu picked the greatest number from the machine and subtracted it from the sum that Leena has found. What answer will Renu arrive at? | Number Machine | |---|---| | Number 1 | 83,34,012 | | Number 2 | 1,24,62,177 | | Number 3 | 90,51,764 | | Number 4 | 1,19,88,102 | Help Seema find the sum of the two 7-digit numbers that she formed by using the digits below. 7, 4, 3, 8, 9, 0, 2 - One number that she formed is the smallest 7-digit even number. - The other number that she formed is the greatest 7-digit odd number, but the number in the hundreds place was 2.

[Answered] Consider y = log_b a. Match the following: List-I | List-II P. If a > 1 and b > 1, then | 1. y > 0 Q. If a > 1 and 0 < b < 1, then | 2. y < 0 R. If 0 < a < 1 and 0 < b < 1, then | 3. y ≥ 1 S. If 0 < a < 1 and b > 1, then | 4. y ≤ -1 | 5. y = 0 Options: (A) P-3, Q-4, R-5, S-4 (B) P-3, Q-4, R-1, S-2 (C) P-1, Q-2, R-1, S-2 (D) P-1, Q-5, R-3, S-4