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Questions in mathematics

[Done] A sequence is defined by the rule [tex]$x_n=8 n-17$[/tex] Work out the value of [tex]$x_6$[/tex].

[Done] Suppose that $\theta$ is an angle in standard position whose terminal side intersects the unit circle at $\left(-\frac{2}{5},-\frac{\sqrt{21}}{5}\right)$. Find the exact values of $\cos \theta, \csc \theta$, and $\tan \theta$. $\cos \theta=$ $\square$ $\csc \theta=$ $\square$ $\tan \theta=\square$

[Done] Divide the following: [tex]$\frac{4 x^3+3 x^2+2 x-3}{x^2-2}$[/tex] Since the denominator is a [$\square$] and nonlinear, we will use long division to solve this problem.

[Done] Let $X =$ Age; $Y =$ Cholesterol level; $\hat{ Y }=156.32+0.65 X ; 195.32$ Calculate the Karl Pearson's Correlation Coefficient from the following data. Also interpret the data on the basis of probable error. Ans: $r=0.7453, P . E .(r)=0.1133$ and significant

[Done] Write the expanded form of the numbers in the table below: | Number | Expanded form | |---|---| | 7,653 | | | 6,745 | | | 9,751 | | | 8,990 | | | 6,609 | 6,000 + 600 + 9 | | 3,009 | | | 3,010 | | | 8,700 | | | 2,045 | | | 6,107 | |

[Done] Which of the following are co-prime numbers? a. 3 and 5 b. 31 and 62 c. 4 and 9 d. 36 and 49 e. 72 and 55 f. 40 and 4

[Done] The average of four numbers is 25. If three of the numbers are 20, 30, and 40, what is the fourth number? A. 10 B. 25 C. 20 D. 15

[Done] Which describes how to graph $g(x)=\sqrt[3]{x-5}+7$ by transforming the parent function? A. Translate the parent function 5 units to the left and 7 units up. B. Translate the parent function 5 units to the right and 7 units up. C. Translate the parent function 5 units down and 7 units to the right. D. Translate the parent function 5 units up and 7 units to the right.

[Done] What is the sum of an interior angle of a 15-gon?

[Done] Given that the point $(8,3)$ lies on the graph of $g(x)=\log _2 x$, which point lies on the graph of $f(x)=\log _2(x+3)+2$? A. $(5,1)$ B. $(5,5)$ C. $(11,1)$ D. $(11,5)$