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Questions in mathematics

[Terjawab] Select the correct answer. Which equation represents a circle with center $T(5,-1)$ and a radius of 16 units? A. $(x-5)^2+(y+1)^2=16$ B. $(x-5)^2+(y+1)^2=256$ C. $(x+5)^2+(y-1)^2=16$ D. $(x+5)^2+(y-1)^2=256

[Terjawab] $(f-g)(x) =$ A. $x^2+x-4$ B. $x^2+x+4$ C. $4^2-x+6$ D. $x^2+x+6$

[Terjawab] Perform the indicated operation: $\left(\frac{1}{2}\right)^2-\sqrt{16}+\left(\frac{7}{4}\right)\left(\frac{16}{28}\right)$

[Terjawab] Brianna solved a two-step equation, but she made a mistake along the way. [tex]\begin{array}{l} 0.1 x+3=1.7 \\ (-3)+0.1 x+3=1.7+(-3) \\ 0.1 x=-1.3 \quad \text { Line } 1 \\ (-0.1)+0.1 x=-1.3+(-0.1) \\ x=-1.4 \quad \text { Line } 2 \\ \text { Line } 4 \end{array}[/tex] What mistake did Brianna make? A. On Line 1, Brianna should have subtracted 3 instead of adding -3. B. On Line 1, Brianna violated the addition property of equality. C. On Line 3, Brianna should have divided by 0.1 instead of subtracting 0.1. D. On Line 3, Brianna violated the addition property of equality.

[Terjawab] Write 1,386 as the product of its prime factors. A) $2 \times 3 \times 231$ B) $2 \times 3 \times 3 \times 7 \times 11$ C) $2 \times 693$ D) $2 \times 3 \times 7 \times 33$

[Terjawab] Fill in the blanks: 1. One tin contains 15 kg of oil. 12 tins contain ______ kg of oil. 2. 8460 ÷ 12 = ______ 3. There are 720 marbles in 12 bags. Each bag has ______ marbles. 4. 306 minutes = ______ hours ______ minutes. 5. Write true or false: 5000 + 300 + 100 + 27 = 5337 6. Fill with the proper fraction: 9/7, 5/7, 10/7, = ______ 7. 990001 ______ 85672. (Fill with =, ≠, <, >) 8. How many thirteens are in 221? 9. In 753210, the digit 7 stands for ______. 10. 354 candles are to be arranged equally in 10 rows. How many candles will be left?

[Terjawab] Drag the tiles to the correct boxes to complete the pairs. Match each system of linear equations with the correct number of solutions. One solution No solution Infinitely many solutions [tex] \begin{aligned} \begin{array}{r} 3 x-y=4 \\ 6 x-2 y=8 \end{array} & \longrightarrow \square\\ \begin{array}{r} y=-4 x-5 \\ y=-4 x+1 \end{array} & \longrightarrow \square\\ \begin{aligned} -3 x+y=7 \\ 2 x-4 y=-8 \end{aligned} & \end{aligned} [/tex]

[Terjawab] Write a polynomial [tex]f(x)[/tex] that satisfies the given conditions. Polynomial of lowest degree with zeros of [tex]-\frac{1}{6}[/tex] (multiplicity 2) and [tex]\frac{1}{4}[/tex] (multiplicity 1) and with [tex]f(0)=3[/tex]. [tex]f(x)=[/tex]

[Terjawab] Ethan rolls a 6-sided number cube. What is the probability that he gets a number less than 3? A. $\frac{2}{3}$ B. $\frac{1}{6}$ C. $\frac{5}{6}$ D. $\frac{1}{3}$

[Terjawab] Which equation has the solutions [tex]$x=\frac{5 \pm 2 \sqrt{7}}{3}$[/tex]? [tex]$3 x^2-5 x+7=0$[/tex] [tex]$3 x^2-5 x-1=0$[/tex] [tex]$3 x^2-10 x+6=0$[/tex] [tex]$3 x^2-10 x-1=0$[/tex]