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DENIUS [597]
3 years ago
14

The force F between 2 objects is inversely proportional to the square of the distance, d between them. The force is 0.36 newtons

when the distance between them is 6 metres. Work out the force (2dp) when d = 4.2 metres
I got 0.74 newtons but I was wrong... what would be the answer?
Mathematics
1 answer:
LenaWriter [7]3 years ago
5 0

Answer:

0.73 N to 2 dp.

Step-by-step explanation:

F = k/d^2   where k is a constant , F = force and d = distance.

Substituting:

0.36 = k / (6)^2

k = 36*0.36 = 12.96 s the equation is F = 12.96 / d^2.

When d = 4.2 :

F = 12.96 / 4.2^2

F = 0.73 Newtons to 2 dp.

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A mountain in boone county is eroding and losing elevation at a rate of 5% every millennium. if the current elevation is 1,710 m
aliina [53]

Answer: 1,393 meters tall

Step-by-step explanation:

Plug in 1710 meters for the initial amount, 0.05 for the rate of decrease, and 4 millennia for the time elapsed.

y

= a(1–r)t

y

= 1,710(1–0.05)4 Plug in values

y

= 1,710(0.95)4 Subtract

y

= 1,710(0.81450…) Simplify

y

= 1,392.80568… Multiply

Round to the nearest whole number.

1,392.80568… → 1,393

To the nearest whole number, the mountain will be 1,393 meters tall.

3 0
2 years ago
What is the name of the platonic solid shown below?
Leni [432]

Answer:

Since the part we can see is half of the whole figure, and there are six sides then in total there are 12 sides. A "12-gon" is called a dodecahedron. This is the answer.

8 0
3 years ago
A bottle of cranberry juice contains 32 fluid ounces and costs $2.56. What is the unit rate?
Tamiku [17]
Unit rate is (cost) per 1 unit
the unit is fluid oz
'per' is fraction
cost/1unit
so we do
2.56/32
divide completely
2.56/32=0.08/1
the unit rate is $0.08 per oz
6 0
3 years ago
Read 2 more answers
Indicate whether the study is an observational study or a controlled experiment. A group of boys is randomly divided into two gr
MariettaO [177]

Answer:

Controlled Experiment

Step-by-step explanation:

The controlled experiment involves the experiment in which all factors are considered as constants whereas one factor is not fixed and that one is independent variable whose effect is to be tested. In short,  in controlled experiment one group of data contains control group and one or more other groups are examined by considering all other factors constant except for one factor. The control group is the group that doesn't receive any treatment whereas treatment is applied to experimental group and then effect of treatment is measured through comparing both groups.  

Here group of boys is divided in to two groups

The group watched violent cartoon= Experimental group

The group watched  cartoons without violence= Control group

The researchers want to know whether the violent actions of boys are linked to violent cartoon  and for this purpose these boys are divided into experimental group and control group and after 1 hour of cartoons watching the researcher will observed boys for next two hours.

Hence the study is Controlled experiment.

6 0
3 years ago
Thea scored an average of 13 points per game in her first 5 basketball games. In her 6th game, the average changed to 17 points
sammy [17]
Average of 5 games = 13
Total of 5 games = 13 x 5 = 65

Average of 6 games = 17
Total of 6 games = 102

6th game = 102 - 65 = 37

---------------------------------------------------------------------
Answer: Her score for the 6th game as 37.
---------------------------------------------------------------------
6 0
3 years ago
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