Questions in mathematics

Questions in mathematics

📝 Answered - Haruto simplified the value below. [tex]$\csc \left(\frac{19 \pi}{4}\right)=\sqrt{2}$[/tex] Which statement explains whether Haruto is correct? A. Haruto is correct because the angle is coterminal with [tex]$\frac{3 \pi}{4}$[/tex] and the reference angle is [tex]$\frac{\pi}{4}$[/tex]. B. Haruto is correct because the angle is coterminal with [tex]$\frac{\pi}{4}$[/tex], which is also the reference angle. C. Haruto is not correct because the angle is coterminal with [tex]$\frac{3 \pi}{4}$[/tex], and [tex]$\csc \left(\frac{3 \pi}{4}\right)=\frac{-1}{\sqrt{2}}=\frac{-\sqrt{2}}{2}$[/tex]. D. Haruto is not correct because the angle is coterminal with [tex]$\frac{\pi}{4}$[/tex], and [tex]$\csc \left(\frac{\pi}{4}\right)=\frac{1}{\sqrt{2}}=\frac{\sqrt{2}}{2}$[/tex].

📝 Answered - Given $15, 8, 1 \ldots$ in which term is -426?

📝 Answered - A stretch of road is 3/4 of a mile long. Every 1/8 mile there is a speed bump on the road to help control traffic. How many speed bumps are there on the stretch of road?

📝 Answered - Solve the equation on the interval [tex]$0 \leq \theta\ \textless \ 2 \pi$[/tex]. [tex]$\sin \left(2 \theta-\frac{\pi}{2}\right)=-1$[/tex] What are the solutions in the interval [tex]$0 \leq \theta\ \textless \ 2 \pi$[/tex]?

📝 Answered - C. True / False 1. The binary number 1111 represents the decimal number 15. 2. The hexadecimal system uses 2 as its base/radix. 3. Octal words come from the Latin word 'oct' which means 8. 4. In the octal number system, the digit '9' is valid. 5. The binary number system can represent any number using only 0 and 1. 6. In the hexadecimal system, the letter 'B' represents the decimal value 12. 7. The Roman number system is an example of a positional number system. 8. Hexa means 6. 9. The radix of the hexadecimal number system is 16. 10. There are two types of basic number systems.

📝 Answered - Compute: a) 3\frac{2}{3} + \frac{1}{4} The mixed number 3 2/3 is converted to the improper fraction \frac{11}{3}.

📝 Answered - A restaurant's delivery person can determine the number of miles he can drive in $x$ hours by the driving $y$ miles can be determined by the function [tex]g(y)=\frac{y}{22}[/tex]. If the delivery person works an 8-hour shift, what is the maximum number of miles he can drive?

📝 Answered - Solve the equation. [tex]$\frac{2 x+5}{3-x}=\frac{14}{15}$[/tex]

📝 Answered - Which of the following statements is equivalent to $P (z<-2.1)$? A. $P(z>-2.1)$ B. $1-P(z<2.1)$ C. $P(z<2.1)$ D. $1-P(z>2.1)$

📝 Answered - The mean of a set of credit scores is [tex]$\mu=690$[/tex] and [tex]$\sigma=14$[/tex]. Which statement must be true about [tex]$z _{694}$[/tex] ? A. [tex]$z_{694}$[/tex] is within 1 standard deviation of the mean. B. [tex]$z_{694}$[/tex] is between 1 and 2 standard deviations of the mean. C. [tex]$z_{694}$[/tex] is between 2 and 3 standard deviations of the mean. D. [tex]$z_{694}$[/tex] is more than 3 standard deviations of the mean.