Questions in Grade College

Questions in Grade College

[Jawaban] Imagine you are at a café by yourself. What types of things do you do? Describe how you entertain yourself, as well as any conversations you might have with the waiter or the people around you.

[Jawaban] Give the slope and the $y$-intercept of the line with the given equation. $y=3 x+7$ What is the slope? Select the correct choice below and fill in any answer boxes within your choice. A. The slope is 3. B. The slope is undefined. What is the y-intercept? Select the correct choice below and fill in any answer boxes within your choice. A. The y -intercept is 7. B. There is no $y$-intercept. Graph the equation.

[Jawaban] Cone W has a radius of 6 cm and a height of 5 cm. Square pyramid X has the same base area and height as cone W. Paul and Manuel disagree on the reason why the volumes of cone W and square pyramid X are related. | Paul | Manuel | |---|---| | The volume of square pyramid X is equal to the volume of cone W. This can be proven by finding the base area and volume of cone [tex]$W$[/tex], along with the volume of square pyramid X. | The volume of square pyramid X is equal to the volume of cone W. This can be proven by finding the base area and volume of cone [tex]$W$[/tex], along with the volume of square pyramid X. | | The base area of cone [tex]$W$[/tex] is [tex]$n(d)=n(12)=37.68 cm^2$[/tex]. | The base area of cone [tex]$W$[/tex] is [tex]$\pi(r^2)=\pi(6^2)=113.04 cm^2$[/tex]. | | The volume of cone W is [tex]$\frac{1}{3}[/tex] (area of base)( h )=[tex]$\frac{1}{3}(37.68)(5)=62.8$[/tex] [tex]$cm ^3$[/tex]. | The volume of cone [tex]$W$[/tex] is [tex]$\frac{1}{3}[/tex] (area of base)(h) =[tex]$\frac{1}{3}(113.04)(5)=[/tex] [tex]$188.4 cm^3$[/tex]. | | The volume of square pyramid X is [tex]$\frac{1}{3}[/tex] (area of base)(h) =[tex]$\frac{1}{3}(37.68)$[/tex] (5) [tex]$=62.8 cm^3$[/tex]. | The volume of square pyramid [tex]$X$[/tex] is [tex]$\frac{1}{3}[/tex] (area of base)(h) =[tex]$\frac{1}{3}$[/tex] [tex]$(113.04)(5)=188.4 cm^3$[/tex]. | Examine their arguments. Which statement explains whose argument is correct and why? A. Paul's argument is correct; Manuel used the incorrect formula to find the volume of square pyramid X. B. Paul's argument is correct; Manuel used the incorrect base area to find the volumes of square pyramid X and cone W. C. Manuel's argument is correct; Paul used the incorrect formula to find the volume of square pyramid X. D. Manuel's argument is correct; Paul used the incorrect base area to find the volumes of square pyramid X and cone W.

[Jawaban] Solve the inequality: [tex]9-4 r\ \textgreater \ 5[/tex] A. [tex]r\ \textgreater \ 1[/tex] B. [tex]r\ \textless \ -4[/tex] C. [tex]r\ \textless \ 1[/tex] D. [tex]r\ \textless \ -1[/tex]

[Jawaban] A draft diverter would be found in a(n) A. condensing furnace B. natural-draft furnace C. induced-draft furnace D. oil furnace

[Jawaban] The total amount of a product available in a market at a given price is called the A. count. B. demand. C. number. D. supply.

[Jawaban] A treasure map says that a treasure is buried so that it partitions the distance between a rock and a tree in a 5:9 ratio. Marina traced the map onto a coordinate plane to find the exact location of the treasure. [tex]x=\left(\frac{m}{m+n}\right)\left(x_2-x_1\right)+x_1[/tex] [tex]v=\left(\frac{m}{m+n}\right)\left(v_2-v_1\right)+v_1[/tex] What are the coordinates of the treasure? If necessary, round the coordinates to the nearest tenth. A. (11.4, 14.2) B. (7.6, 8.8) C. (5.7, 7.5) D. (10.2, 12.6)

[Jawaban] Find the arc length of the curve defined by the parametric equations [tex]$x(t)=-2 e^{-2 t}$[/tex] and [tex]$y(t)=3 e^{-3 t}$[/tex] from [tex]$0.6 \leq t \leq 1.2$[/tex]. Round your answer to the nearest hundredth. Provide your answer below: [tex]$s \approx$[/tex] $\square$

[Jawaban] Humans evolved in the Eocene period.

[Jawaban] How many boxes will fit along the width of the shipping crate? | | Storage Crate Size | Box Dimensions | | :----- | :----------------- | :------------- | | Width | 9 feet | 14 inches | | Height | 12 feet | 7 inches | | Length | 12 feet | 14 inches |