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Questions in mathematics

[Jawaban] 1. Which of the following is the Kaprekar's constant? A) 6382 B) 8632 C) 6174 D) 6714 2. How many rounds does the number 6382 take to reach the Kaprekar's constant? A) 2 B) 4 C) 6 D) 3 3. The German mathematician Lothar Collatz conjectured that the sequence will always reach A) 1 B) 2 C) 0 D) 5 4. Which of the following number is supercell for the sequence 43, 79, 75, 63, 10? A) 43 B) 79 C) 75 D) 10 5. What is the smallest number whose digit sum is 14? A) 59 B) 95 C) 149 D) 68 6. Which of the following is the largest 5-digit number whose digit sum is 14? A) 10049 B) 94001 C) 93002 D) 94100 7. Which of the following is palindrome number? A) 1212 B) 123456 C) 12321 D) 625 8. Which of the following is the largest 3-digit palindrome number? A) 101 B) 989 C) 898 D) 999 9. Which of the following is the smallest 3-digit palindrome number? A) 101 B) 989 C) 898 D) 999

[Jawaban] As a rule of thumb, what t-score do researchers believe to be sufficiently significant for a T-test? 1. 1.96 2. 2 3. 2.54 4. 4

[Jawaban] Hiroshi spends 30 minutes on history homework and 60 minutes on English homework. One fourth of his total homework time is spent on math. Which equation can be used to find the amount of time Hiroshi spends on his math homework? [tex]$\frac{1}{4}(x+30+60)=x$[/tex] [tex]$\frac{1}{4}(x)=x(30+60)$[/tex] [tex]$\frac{1}{4} x(30+60)=x$[/tex] [tex]$\frac{1}{4}(x)=(30+60)$[/tex]

[Jawaban] Two sandboxes with the same area are shown. The equation [tex]w(3 w+1)=5^2[/tex] represents the area of Sandbox 2 in terms of its width. Which is the approximate length of the longest side of Sandbox 2? Round the answer to the nearest hundredth of a meter. A. 2.72 meters B. 3.06 meters C. 9.16 meters D. 10.18 meters

[Jawaban] Which function is the inverse of [tex]h(x)=\frac{18 x+7}{3}[/tex]? A) [tex]k(x)=\frac{18 x-7}{3}[/tex] B) [tex]k(x)=\frac{3 x-7}{18}[/tex] C) [tex]k(x)=\frac{3 x+7}{18}[/tex] D) [tex]k(x)=\frac{7 x-3}{18}[/tex]

[Jawaban] Evaluate the integral: [tex]$\int_1^4 \frac{x+2}{\sqrt{x}} dx$[/tex]

[Jawaban] Consider the equation [tex]$5 \cdot 10^{\frac{z}{4}}=32$[/tex]. Solve the equation for [tex]$z$[/tex]. Express the solution as a logarithm in base-10. [tex]$z=$[/tex] Approximate the value of [tex]$z$[/tex]. Round your answer to the nearest thousandth. [tex]$z \approx$[/tex]

[Jawaban] Which statements are true? Check all that apply. The radius of the cone is 9 units. The height of the cone is 15 units. The height of the cone is 12 units. The volume of the cone is represented by the expression [tex]$\frac{1}{3} \pi(15)^2(9)$[/tex]. The volume of the cone is represented by the expression [tex]$\frac{1}{3} \pi(9)^2(12)$[/tex].

[Jawaban] The seismic activity density of a region is the ratio of the number of earthquakes during a given time span to the land area affected. The table shows the land area and seismic activity density. | | Land Area ($mi^2$) | Seismic Activity Density | | :------ | :------------------ | :----------------------- | | State A | 165696 | 0.0299 | | State B | 10931 | 0.1402 | Which statement about the number of earthquakes the states had for the given time span is true? A. State A had approximately 1,533 more earthquakes than State B. B. State B had approximately 1,533 more earthquakes than State A. C. State A had approximately 3,362 more earthquakes than State B. D. State B had approximately 3,362 more earthquakes than State A

[Jawaban] Choose the option that best describes how to determine if a relation is a function. A. Check that for each value of x, there is only one value of y. B. Check that for each value of y, there is only one value of x. C. Check that for each output, there is only one input. D. Check that a horizontal line could move across the y-axis and only intersect the graph of the relation in one spot at a time