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Questions in mathematics

[Jawaban] Calculate the value of the expression: 0.05 + 1.5 × 5 ÷ 10 × 0.5 = ?

[Jawaban] Consider a circle whose equation is $x^2+y^2+4 x-6 y-36=0$. Which statements are true? Check all that apply. A. To begin converting the equation to standard form, subtract 36 from both sides. B. To complete the square for the $x$ terms, add 4 to both sides. C. The center of the circle is at $(-2,3)$. D. The center of the circle is at $(4,-6)$. E. The radius of the circle is 6 units. F. The radius of the circle is 49 units.

[Jawaban] (a - 12)x = a + 8. In the equation above, a is a constant. If the equation has no solutions, what is the value of a?

[Jawaban] $\left\{\begin{array}{l}4 y+x=0 \\ 4 y^2+x^2=5\end{array}\right.

[Jawaban] Select the correct answer. Marcus earns a commission of $\frac{1}{10}$ of the price of every electrical appliance he sells. He also spends $10 on lunch each day. If he sells goods worth $x$ dollars in a day, which expression represents the amount of commission he has left after buying lunch? If he sells goods worth $3,500 in one day, how much of his commission does he have left after buying lunch? A. The expression is $\frac{z+10}{10}$, and the remaining commission is $351. B. The expression is $\frac{x-10}{10}$, and the remaining commission is $349. C. The expression is $\frac{x}{10}-10$, and the remaining commission is $340. D. The expression is $\frac{x}{10}+10$, and the remaining commission is $360.

[Jawaban] Factor: $x^2+16$ A. $(x+4)(x-4)$ B. $(x-4)(x-4)$ C. $(x+4)(x+4)$ D. Cannot be factored

[Jawaban] Choose the graph of $y=(x-3)^2+1$.

[Jawaban] Write the missing numbers in this multiplication grid. | x | 6 | | | :---: | :--: | :---: | | 8 | 48 | | | -4 | | 20 |

[Jawaban] Two percent of mobile phones produced at a factory are defective. Which of the following is a binomial experiment? A. Selecting phones randomly until a non-defective phone is chosen B. Selecting phones randomly until 200 defective phones are chosen C. Selecting 200 phones randomly and recording whether each phone is defective D. Selecting a group of phones randomly and recording the number of defective phones in the group

[Jawaban] Which equation has no solution? [tex]$|4 x-2|=-6$[/tex] [tex]$|-2-x|=9$[/tex] [tex]$|3 x+6|=6$[/tex] [tex]$|-2 x+8|=0$[/tex]