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Kitty [74]
2 years ago
15

A researcher is interested in understanding whether the number of people in a room affects how much a person eats. During the ex

periment, the researcher varies the number of people in the room and records how much each participant eats. This is an example of:
Mathematics
1 answer:
alex41 [277]2 years ago
4 0

Answer:

quantitative manipulation of the independent variable

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Prove that the following four points will form a rectangle when connected in order
Lemur [1.5K]

Answer:

Step-by-step explanation:

If the diagonals of the rectangle are congruent,

AC = BD

By using formula to calculate the distance between two points,

Distance between two points = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Distance between A(0, -3) and C(2, 8),

AC = \sqrt{(8+3)^2+(2-0)^2}

     = \sqrt{125}

     = 5\sqrt{5}

Similarly, distance between two points B(-4, 0) and D(6, 5),

BD = \sqrt{(5-0)^2+(6+4)^2}

     = \sqrt{125}

     = 5\sqrt{5}

Therefore, both the diagonals are congruent.

Hence, given quadrilateral ABCD is a rectangle.

8 0
3 years ago
Christian reads 14 book every 23 week. How many books does Christian read per week?
DedPeter [7]

Answer:

0.609 / week  ( to nearest  thousandth)

or you can state it as 60.9% of a book per week

Step-by-step explanation:

That would be 14/23 =  0.609 / week

6 0
3 years ago
(X to the fourth power) squared equals
Viktor [21]

Answer:

(x^4)^2=x^8

Step-by-step explanation:

Because of the power of a power property, which states that (x^n)^m=x^{n\times{m}}, where m and n are real numbers, the expression you mentioned can be simplified by applying this property like this: (x^4)^2=x^{4\times2}=x^8

4 0
3 years ago
How to solve: a parade traveled 4 miles in 2 hours. how far did tge parade travel per minute?
jek_recluse [69]

There's a really easy way to convert any units to other units.

Right now, we have the fraction  (4 miles) / (2 hours).

We want to find a fraction that's exactly equal to that one,
but has the units of  (miles/minute)  or maybe  (feet/minute).

Just take the original fraction, and multiply it by some other
fractions.

Each fraction you multiply it by must have the value of ' 1 ' so
you don't change the value of the original fraction.  But it can
have different units, that cancel with other units to eventually
give you the units you want.

      (4 miles / 2 hours) times (1 hour / 60 minutes)

The second fraction is equal to ' 1 ', because the top and the bottom
have the same value ...  1 hour is the same thing as  60 minutes.

Multiply the fractions:  (4 miles x 1 hour) / (2 hour x 60 minutes)

Now you can cancel 'hour' from the top and the bottom, and you have

             (4 miles x 1) / (2 x 60 minutes)

               = (4 miles) / (120 minutes) 

               =          (4 / 120) mile/minute = 0.0333... mile / minute .

Let's do it again, go a little farther, and get an answer that
might mean more and feel more like an answer. 

   (4 miles) / (2 hours) x (5280 feet / mile) x (1 hour / 60 minutes)

The 2nd and 3rd fractions both have the value of ' 1 ', because
the top is equal to the bottom. 

Multiply all three fractions: 

     (4 miles x 5280 feet x 1 hour) / (2 hours x 1 mile x 60 minutes)

You can cancel both 'mile' and 'hour' out of the top and bottom,
and look what you have left:

     (4 x 5280 feet x 1) / (2 x 1 x 60 minutes)

  =  (4 x 5280) / (2 x 60)  feet / minutes

  =  (21,120 / 120)  feet/minute   =    176 feet per minute
  
3 0
3 years ago
Read 2 more answers
Convert into metre 81Km 30 m​
aliya0001 [1]

Answer:81030m

Step-by-step explanation:1km=1000m, 81km=81000+30=81030m

5 0
3 years ago
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