Numerade

Questions asked

BEST MATCH

1) a) Given a line $l$ passes through the points A(2, 0, 5) and B(-3, 7, 4). Find the distance from the point Q(0, 3, 2) to the line $l$. b) Find the angle between the lines $l_1$ and $l_2$ which are defined by $l_1$: $x - 3 = \frac{y + 8}{3} = \frac{2 - z}{6}$, $l_2$: $x = 6 - t$, $y = -1 - 2t$, $6z = -12t$. c) Find the point of intersection between line $\frac{x - 1}{3} = \frac{1 - y}{2} = \frac{z + 1}{3}$, and plane $5x + 3y - 4z = 3$. d) Find the shortest distance from point P(4, 5, -8) to the plane $2x - 6y + 3z + 4 = 0$.

View Answer

BEST MATCH

2. Estimate how much heat energy is required to boil just enough water to make two full cups of tea. Take a full cup to be 250 ml and take the heat capacity of water to be 4.2 kJ kg$^{-1}$ $^\circ$C$^{-1}$. Show your working. Hint: you need to know the mass of one litre of water.

View Answer

BEST MATCH

The media tells us what to think about but does NOT tell us which attributes of issues are most important. True False

View Answer

BEST MATCH

Which of the following is NOT a type of connective tissue? blood cartilage neuroglia bone

View Answer

BEST MATCH

Where in the circular flow of income and expenditure do the transactions appear that made this rocket launch possible? Identify the flow in which each item below appears by typing the letter on the flow in the figure. Purchase of rocket parts from Japanese firms Engineers' vacation expenses Engineers' wages Purchase of rocket fuel Interest on loans to SpaceX Purchase of rocket parts from U.S. firms 2.Where in the circular flow of income and expenditure do the transactions appear that made this rocket launch possible? Identify the flow in which each item below appears by typing the letter on the flow in the figure. Purchase of rocket parts from Japanese firms Engineers'vacation expenses Engineers'wages Purchase of rocket fuel Interest on loans to SpaceX Purchase of rocket parts from U.S.firms

View Answer

BEST MATCH

Suppose you want to find the gravitational field strength on a different planet but have minimal resources. To do this, you decide to create a basic pendulum by anchoring one end of a very light string (negligible mass) and tying a steel sphere to the free end, 30 cm away from the anchor point. The only measurement device you have is your phone's timer, so you decide to count how many complete back-and-forth swings your pendulum will make in 1 min. You find that it completes about 50 full swings. Based on this information, you estimate the gravitational field strength of the planet. What do you find? Report your answer in N/kg (equivalent to m/s²) (with 2 significant figures).

View Answer

BEST MATCH

Which is legally required on a Nutrition Facts label? a. Grams of Protein b. Calories from total dietary needs c. Calories from sucrose d. Calories per half serving

View Answer

BEST MATCH

Our sample of observations consists of aerial counts of 300 adult rhinos. Hence, if the null hypothesis is correct, we would expect our count to consist of exactly 150 males and 150 females. Our observed sex ratio, however, is 133 males and 167 females. Based on the obtaining a $\chi^2$ of 3.84 obtained from the rhino data, would you reject or fail to reject the null hypothesis that the sex ratio is 1:1? Explain your reasoning. Large $\chi^2$ values are sometimes obtained in situations where the null hypothesis is true. Explain why this might happen. Imagine that you are interested in testing whether or not a trait segregates in a 9:3:3:1 phenotypic ratio. Formulate your null and alternative hypotheses for this scenario. What would be the consequence of reversing the null and alternative hypotheses in the example from the reading? Explain your reasoning.

View Answer

BEST MATCH

An economy consists of three workers: Musashi, Sean, and Bob. Each works 10 hours a day and can produce two services: mowing lawns and washing cars. In an hour, Musashi can either mow 2 lawns or wash 1 car; Sean can either mow 1 lawn or wash 1 car; and Bob can either mow 1 lawn or wash 2 cars. For each of the scenarios listed in the following table, determine how many lawns will be mowed and how many cars will be washed per day and enter these values into the corresponding row. able[[Scenario Lawns Mowed Cars Washed],[All three spend all their time mowing lawns. (A)],[All three spend all their time washing cars. (B)],[All three spend half their time on each activity. (C)],[Musashi spends half his time on each activity, while Sean only washes cars and Bob only mows lawns. (D)]] An economy consists of three workers: Musashi, Sean, and Bob. Each works 10 hours a day and can produce two services: mowing lawns and washing cars. In an hour, Musashi can either mow 2 lawns or wash 1 car; Sean can either mow 1 lawn or wash 1 car; and Bob can either mow 1 lawn or wash 2 cars. For each of the scenarios listed in the following table, determine how many lawns will be mowed and how many cars will be washed per day and enter these values into the corresponding row. Lawns Mowed Cars Washed All three spend all their time mowing lawns. (A) All three spend all their time washing cars. (B) All three spend half their time on each activity. (C) Musashi spends half his time on each activity, while Sean only washes cars and Bob only mows lawns. (D)

View Answer

BEST MATCH

A network has 5 subnets, each with at least 16 hosts. Which subnet masks should be used? 255.255.255.192 255.255.255.224 255.255.255.240 255.255.255.241 255.255.255.248

View Answer

sarah j.