Questions in mathematics

Questions in mathematics

📝 Answered - If [tex]$\tan x = \frac{4}{3}$[/tex], what is the value of b?

📝 Answered - How many liters of glycerin should be added to 12 liters of an $8 \%$ glycerin solution so that the resulting solution contains $16 \%$ glycerin? Round the answer to the nearest hundredth if necessary.

📝 Answered - Identify the equation as a conditional equation, contradiction, or an identity. Then solve: [tex]3 p+4=3 p[/tex]

📝 Answered - Evaluate the integral, using the substitution [tex]$u=1+\cos ^5(x)$[/tex]. [tex]$\int\left(1+\cos ^5(x)\right)^6 \cos ^4(x) \sin (x) d x$[/tex] 1. Using [tex]$u=1+\cos ^5(x)$[/tex], what is [tex]$d u$[/tex]? [tex]$d u=\square d x$[/tex] 2. What is the integral after substitution (i.e., in terms of [tex]$u$[/tex]?) [tex]$\int \square d u$[/tex] 3. What do you get by integrating the previous answer? [tex]$\square$[/tex] Give in terms of [tex]$u$[/tex]. Don't forget [tex]$+C$[/tex] 4. What is the final answer? [tex]$\square$[/tex] Answer in terms of original variable.

📝 Answered - Consider circle [tex]Y[/tex] with radius 3 m and central angle [tex]XYZ[/tex] measuring 70 degrees. What is the approximate length of minor arc [tex]XZ[/tex]? Round to the nearest tenth of a meter. A. 1.8 meters B. 3.7 meters C. 15.2 meters D. 18.8 meters

📝 Answered - Use the given line and the point not on the line to answer the question. What is the point on the line perpendicular to the given line, passing through the given point that is also on the $y$-axis? $(-3.6,0)$ $(-2,0)$ $(0,-3.6)$ $(0,-2)$

📝 Answered - \(\begin{array}{l}\left(x^{-6}\right)^3 \\ \frac{1}{x^{[?]}}\end{array}\)

📝 Answered - Is $-1,833 \div -39$ positive or negative?

📝 Answered - If an image of a triangle is congruent to the pre-image, what is the scale factor of the dilation? A. 0.1 B. $\frac{1}{2}$ C. 1 D. 10

📝 Answered - Consider the means of the samples shown in the table. Which value is least likely to be the mean of the population from which the samples were taken? | Sample | Sample Mean | |---|---| | 1 | 15.2 | | 2 | 17.1 | | 3 | 16.9 | | 4 | 12.2 | | 5 | 18.0 | | 6 | 16.3 | | 7 | 17.4 | A. 12.2 B. 15.3 C. 16.4 D. 17.5