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Questions in Grade College

[Free] On a number line, the directed line segment from [tex]$Q$[/tex] to [tex]$S$[/tex] has endpoints [tex]$Q$[/tex] at -14 and [tex]$S$[/tex] at 2. Point [tex]$R$[/tex] partitions directed line segment from [tex]$Q$[/tex] to [tex]$S$[/tex] in a 3:5 ratio. Which expression correctly uses the formula [tex]$\left(\frac{m}{m+n}\right)\left(x_2-x_1\right)+x_1$[/tex] to find the location of point R? A. [tex]$\left(\frac{3}{3+5}\right)(2-(-14))+(-14)$[/tex] B. [tex]$\left(\frac{3}{3+5}\right)(-14-2)+2$[/tex] C. [tex]$\left(\frac{3}{3+5}\right)(2-14)+14$[/tex] D. [tex]$\left(\frac{3}{3+5}\right)(-14-2)-2$[/tex]

[Free] The table shows the masses of four objects. Object Mass (kg) Book 1.1 Rock 2.3 Box 4.5 Fish 5.8 Which object has a weight of about 22.5 N?

[Free] A set of data points has a line of best fit of [tex]y=2.5 x-1.5[/tex]. What is the residual for the point (4,7)? A. -1.5 B. 8.5 C. 1.5 D. 7

[Free] Find the slope for each equation. $y=2 x+3$

[Free] The equation $\cos ^{-1}\left(\frac{3.4}{10}\right)=x$ can be used to determine the measure of angle BAC. What is the degree measure of angle BAC? Round to the nearest whole degree. A. $19^{\circ}$ B. $20^{\circ}$ C. $70^{\circ}$ D. $71^{\circ}$

[Free] Select the correct answer. Tracy wants to make a cylindrical model. The height of the cylindrical model, [tex]H(V)[/tex], in inches, is modeled by this equation, where [tex]V[/tex] is the volume of the cylindrical model, in cubic inches. [tex]H(V)=2.69 \sqrt[3]{V}[/tex] What is the average rate of change of the model's height when its volume changes from 512 cubic inches to 1,000 cubic inches? A. The model's height increases by approximately 26.9 inches for every 1 -cubic-inch increase in its volume. B. The model's height increases by approximately 21.52 inches for every 1 -cubic-inch increase in its volume. C. The model's height increases by approximately 0.022 inch for every 1-cubic-inch increase in its volume. D. The model's height increases by approximately 0.011 inch for every 1 -cubic-inch increase in its volume.

[Free] QUESTION 17 In order for the aluminum bar to have its rate of conduction increased, which of the following changes should be made? A. Increase its length B. Increase its thickness C. Decrease its thermal conductivity D. Decrease the temperature gradient QUESTION 18 In an experiment, Tom records the resistance value of a 20cm strip of metal that is kept at four (4) different temperatures. His results are recorded below. Temperature of metal strip Resistance of metal strip 0°C 0.100 25°C 0.400 50°C 0.700 75°C 1.00 What is the average change in resistance of the metal for each 10°C rise in temperature? A. 0.0120 B. 0.0130 C. 0.0140 D. 0.0160 QUESTION 19 John has four (4) shirts of different colors. On a hot sunny day, he tries to decide which shirt he will wear. Each of the colors of the shirts is given below. Which colored shirt will reflect most of the heat radiation? A. Black B. White C. Yellow D. Red QUESTION 20 In which part of a refrigerator will the refrigerant change from a low temperature, low pressure gas to a high temperature, high pressure gas? A. Evaporator B. Compressor C. Expansion valve D. Condenser

[Free] Evaluate the limit using L'Hospital's rule $\lim _{x \rightarrow 0} \frac{\sin (9 x)}{\tan (15 x)}$

[Free] In what phase of 5S would you remove unnecessary items from the workspace, perhaps by using a Red Tag Event? A. Standardize B. Shine C. Sort D. Sustain

[Free] Data were collected on the distance a baseball will travel when hit by a baseball bat at a certain speed. The speed, s, is measured in miles per hour, and distance, y, is measured in yards. The line of fit is given by [tex]\hat{y}=3.98+53.59 s[/tex]. If the ball travels for a duration of 5 seconds, what is the predicted distance of the ball? A. 267.95 yards B. 271.93 yards C. 283.87 yards D. 287.85 yards