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GalinKa [24]
2 years ago
14

The weight of a person on or above the surface of the earth varies inversely as the square of the distance the person is from th

e center of the earth. If a person weighs 180 pounds on the surface of the earth and the radius of the earth is 3900 miles, what will the person weigh if he or she is 850 miles above the earth's surface? Round your answer to the nearest hundredth of a pound.
Mathematics
2 answers:
Lesechka [4]2 years ago
5 0

Answer:

121.34

Step-by-step explanation:

AleksandrR [38]2 years ago
4 0
If you do this with a complex set of fractions and let
K = G Me m_space be the same in both parts, there should be some cancellation.

W_earth = 180 lbs

W_earth = K /3900 miles^2
W_space =K  /(3900 + 850)^2

180 / W_space = k/3900^2
x = k / (4750)^2

\frac{180}{Wspace} =  \frac{ \frac{k}{3900^{2} } }{ \frac{k}{4750^{2}} /[tex]\\Now you need to invert and multiply the bottom fraction on the left.\\[tex] \frac{180}{x} {=} \frac{k}{3900^{2}} {*} \frac{4750^{2}}{k} 

The ks cancel out.

You are left with 180/x = 4750^2 / 3900^2 Now cross multiply
180 * 3900^2 = 4750^2  = x
180 * 3900^2 / 4750^2 = x 
180 * 0.67413 = x
x = 121 pounds. Weight is a force, but because all the units on one side are equivalent to the units on the other, the conversions become part of k. Normally you would have to do the conversions, but not in this particular case.

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Please help me solve the answers​
xeze [42]

The modal and mean mark of the frequency distribution is 5 and 4.83 respectively.

<h3>Mean and mode</h3>

Mode refers to a mark which reoccurs most in a frequency distribution.

  • Modal mark = 5

The total number of students who wrote the test = 2 + 3 + 4 + 6 + 10 + 4 + 3 + 2 + 1 + 1

= 36 students

Mean mark = Total mark / Total students

= (2×1) + (3×2) + (4×3) + (6×4) + (10×5) + (4×6) + (3×7) + (2×8) + (1×9) + (1×10) / 36

= (2+6+12+24+50+24+21+16+9+10 / 36

= 174/36

= 4.83333333333333

Approximately,

Mean mark = 4.83

If 25% of students failed,

Number of students who failed = 25% of 36

= 25/100 × 36

= 0.25 × 36

= 9 students.

Learn more about mean and mode:

brainly.com/question/14532771

#SPJ1

7 0
2 years ago
Communicate Mathematical Ideas Irrational numbers can never be precisely represented in decimal form. Why is this? 20 Unit1
kiruha [24]

Answer:

An irrational number can never be represented precisely in decimal form.

Step-by-step explanation:

<em>A number can be precisely represented in decimal form if you can give a rule for the construction of its decimal part,</em>

for example:

2.246973973973973... (an infinite tail of 973's repeated over and over)

7.35 (a tail of zeroes)

If this the case, then the number is a RATIONAL NUMBER, i.e, the QUOTIENT OF TWO INTEGERS.

Let's show this for the first example and then a way to show the general situation will arise naturally.

Suppose N = 2.246973973973...

You can always multiply by a suitable power of 10 until you get a number with only the repeated chain in the tail

for example:

1) N.10^3=2246.973973973...

but also

2) N.10^6=2246973.973973...

Subtracting 1) from 2) we get

N.10^6-N.10^3=2246973.973973973... - 2246.973973973...

Now, the infinite tail disappears

N.10^6-N.10^3=2246973 - 2246=226747

But  

N.10^6-N.10^3=N.(10^6-10^3)=N.(1000000-1000)=999000.N

We have then

999000.N=226747

and

N=\frac{226747}{999000}

We do not need to simplify this fraction, because we only wanted to show that N is a quotient of two integers.

We arrive then to the following conclusion:

If an irrational number could be represented precisely in decimal form, then it would have to be the quotient  of two integers, which is a contradiction.

So, an irrational number can never be represented precisely in decimal form.

6 0
3 years ago
1:2000000 find the land distance 14cm b) 31 cm​
bogdanovich [222]

If the scale is

R.F.= 1/2000000

=1/2x 10000x100

1cm=20000m

The scale of a map is given as= 1/2000000

Two town are 4 cm apart on the map.

the actual distance between two towns

=4x 20000

=80000 m

=80000/1000 Km

=80Km

I hope this help you

6 0
3 years ago
If (a2b−3c)34a−1b4c5=apbqcr What is the value of p+2q?​
Naily [24]
<h2>Explanation:</h2>

Use BODMAS and algebra to arrive at the values of P = 5/2, q = -25/4 and r = -9/2.

Then substitute the values of p and q into p+2q to get -10

3 0
2 years ago
Solve for m <br>5m - 10m = 20<br><br>can anyone help me out?​
sweet-ann [11.9K]

Answer:

m=-4

Step-by-step explanation:

5m-10m=-10m+5m=-(10m-5m)=-5m=20

divide by 5 on both sides, -m=4

miltiply by -1 on both sides, m=-4

8 0
2 years ago
Read 2 more answers
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