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blsea [12.9K]
3 years ago
9

Draw a line with slope of 1/2

Mathematics
1 answer:
SashulF [63]3 years ago
6 0
I can't draw here but a 1/2 slope rises 1 and runs 2 so go up 1 unit and right 2 units (if it is a positive slope) 1 unit is 1 square on the graph/coordinate plane
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A chicken casserole recipe serves 12
Musya8 [376]

Answer:

4.5 cups of spinach

Step-by-step explanation:

we know that

The recipe serves 12  people and calls for 3 cups of  spinach

so

using proportion

Find out how many  cups of spinach should you use, to serve 18 people

\frac{12}{3}\ \frac{people}{cups} =\frac{18}{x}\ \frac{people}{cups}\\\\x=18(3)/12\\\\x=4.5\ cups

3 0
3 years ago
A car is traveling at a steady speed. It travels 2 1/3 miles in 3 1/2 minutes. How far will it travel in 24 minutes? How far wil
Vikki [24]

Answer:

a) distance traveled is 16 miles.

b) distance traveled is 40 miles.

Step-by-step explanation:

Speed is a scalar quantity which describe the rate of distance moved with time.

i.e speed = \frac{distance}{time}

Given that: distance = 2 1/3 miles = \frac{7}{3} miles, time = 3 1/2 minutes = \frac{7}{2} minutes.

Then;

speed = \frac{7}{3} ÷ \frac{7}{2}

          = \frac{7}{3} x \frac{2}{7}

          = \frac{2}{3}

The car's steady speed is 0.67 miles per minute.

a) when the time is 24 minutes, the distance covered can be determine by:

distance = speed x time

              = \frac{2}{3} x 24

              = 16

distance traveled is 16 miles.

b) When the time is 1 hour (60 minutes), the distance traveled can be determined by:

distance = speed x time

              = \frac{2}{3} x 60

              = 40

distance traveled is 40 miles.

5 0
3 years ago
Find polynomial f(n) such that for all integers n is greater than or equal to 1 we have 3t( 1*2 + 2*3 +...+ n(n+1) ) = f(n). Wri
fomenos
1\cdot2+2\cdot3+\cdots+(n-1)\cdot n+n\cdot(n+1)=\displaystyle\sum_{k=1}^nk(k+1)=\sum_{k=1}^n(k^2+k)
=\dfrac{n(n+1)(2n+1)}6+\dfrac{n(n+1)}2
=\dfrac{n(n+1)(2n+1)+3n(n+1)}6
=\dfrac{2n^3+6n^2+4n}6
=\dfrac13n^3+n^2+\dfrac23n
6 0
4 years ago
Convert the given radian measure to a degree measure. 1.1π
ch4aika [34]

Answer:

198

Step-by-step explanation:

π rad=180

==> 1.1π rad gives 1.1π× 1/π×180=198

8 0
3 years ago
Comment critically on the following questions. In each case, rewrite the
marta [7]

Answer:

The main objective of a questionnaire is it should gather data that is pertinent to the study or research. However, the tool must be designed in a way that the respondents will be able to understand it, answer it fairly quickly, and it should be descriptive and specific. It should be unbiased and should not lead the answers of the respondents in the direction favorable only to the researcher.

A. Are you young, middle-aged or old?

This question is not descriptive enough because it is not well-defined in terms of the research. It is not clear or to the point because how will the respondent know based on their age what is young, middle-aged, or old?

An age range would be more appropriate, as it will prevent biases and is more definitive.

For example:    20>    20 - 29    30-39    40-49     50<

The age ranges should be dependent on the definition in the study.

B. Please select your favorite breakfast cereal from this list:

The problem with this question is that it limits the choices of the respondent, when it is asking what their favorite breakfast cereal is. The words "your favorite" indicates that the question seeks to find the preference of the respondent but it leads them to choosing only those provided by the researcher. It would be better if they added the option Others:________

If the study was limited to just those cereals, then it would have been better if it was phrased as:

Among the breakfast cereals listed below, which do you prefer?

C. How old are you?

Now notice the age ranges provided. For one, it is not spaced evenly and another there is a gap between 5 and 7, 10 and 12. If the respondent were 6 or 11 years of age, which box would they tick?

The ranges should be set like this:

0 - 5      6 - 11        12<

Another issue is the range starts out so young. A questionnaire would not be the best type of data gathering tool considering they most likely are not capable of reading or even writing.

D. Do you have any brothers?

In this case, the questions are redundant and repetitive when it is not necessary. If the respondent had 4 brothers, then they would have to say yes to all.  It would have been better if they just structured it like this:

How many brothers do you have?

0   1    2    3   4  Others: _______

All questions would have been answered in just a single question.

NOTE:

It is best to construct a detailed questionnaire but it should be to the point. A lengthy questionnaire is not also advisable as it may be too cumbersome for the respondent.

3 0
4 years ago
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