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Questions in mathematics

📝 Answered - 10. The Talking Pot always says the next number. If you say 158, what will the Talking Pot say? Explain your answer. 11. Write the following numbers in words: a) 145: b) 199: 12. Draw matchstick bundles to represent the number 183.

📝 Answered - If a relation R = {(a, a²) : a ∈ A and a² ∈ A} is defined on A × A and the set A = {1, 2, 3, 4, 5, 6, 7, 8, 9}, what will be the range of R? (A) {1, 4} (B) {1, 2, 3} (C) {1, 4, 9} (D) None of these

📝 Answered - 4 | Thousands | Hundreds | Tens | Ones | |---|---|---|---| | 1, | 0 | 4 | 8 | The digit to the right of the hundreds place is ____. So, ____ the digit in the hundreds place. Then, replace the digits to the right of the hundreds place. 1,048 is ____ when rounded to the nearest hundred. 5 | Thousands | Hundreds | Tens | Ones | |---|---|---|---| | 8, | 9 | 8 | 0 | 8,980 is ____ when rounded to the nearest hundred. 6 | Thousands | Hundreds | Tens | Ones | |---|---|---|---| | 2, | 6 | 2 | 0 | 2,620 is ____ when rounded to the nearest hundred. 7 | Thousands | Hundreds | Tens | Ones | |---|---|---|---| | 4, | 5 | 6 | 7 | 4,567 is ____ when rounded to the nearest hundred.

📝 Answered - Determine the equation of the tangent line to a parametrically defined curve. Find all points on the curve defined by the equations [tex]x(t)=2 \sin (8 t)[/tex] and [tex]y(t)=-9 \cos (8 t)[/tex] with a slope of [tex]-\frac{9 \sqrt{3}}{2}[/tex] when [tex]0 \leq t\ \textless \ \frac{\pi}{8}[/tex].

📝 Answered - Select the correct choice below and, if necessary, fill out the answer box to complete your choice. A. The solution set in set-builder notation is \{x \mid \square\}. (Type an inequality or a compound inequality.) B. The solution set is all real numbers. C. There is no solution.

📝 Answered - Which statement about the following equation is true? [tex]2 x^2-9 x+2=-1[/tex] A. The discriminant is less than 0, so there are two real roots. B. The discriminant is less than 0, so there are two complex roots. C. The discriminant is greater than 0, so there are two real roots. D. The discriminant is greater than 0, so there are two complex roots.

📝 Answered - Which describes the positions on a horizontal number line? A. All points to the left of one are positive when one is negative. B. All points to the right of one are positive when one is negative. C. All points to the left of zero are negative. D. All points to the right of zero are negative.

📝 Answered - Convert the decimal $0.929292 \ldots$ to a fraction. A. $\frac{92}{99}$ B. $\frac{92}{999}$ C. $\frac{92}{100}$ D. $\frac{92}{1000}$

📝 Answered - Evaluate: [tex] \frac{-5-(x+y)}{2} [/tex], where [tex]x=3[/tex] and [tex]y=6[/tex] A. -5 B. -11 C. -7 D. -13

📝 Answered - The population (in millions) of a certain country can be approximated by the function: [tex]$P(x)=50 \cdot 1.02^x$[/tex] where [tex]$x$[/tex] is the number of years after 2000. Which of the following calculations will tell in what year the population can be expected to reach 100 million? A. [tex]$\frac{\ln (2)}{\ln (1.02)}+2000$[/tex] B. [tex]$\frac{\ln (2)}{\ln (1.02)}$[/tex] C. [tex]$\ln \left(\frac{2}{1.02}\right)$[/tex] D. [tex]$\ln \left(\frac{2}{1.02}\right)+2000$[/tex]