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tensa zangetsu [6.8K]
3 years ago
7

Scientists need to know how gravity acts on space shuttles so they can put the space shuttle in orbit. They use an equation that

describes how gravity relates to the mass of two objects and the distance between two objects. Which term describes this equation?

Mathematics
1 answer:
patriot [66]3 years ago
6 0

The equation is a scientific law, Newton's Law of Gravity,

F =\dfrac{GMm}{r^2}

This is a pretty bad question. Newton's Law of Gravity is a mathematical model of gravitation, originally a theory, verified by observation, and now superseded by the General Theory of Relativity.

C is probably the best answer to this poor question.


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A metallurgist needs to make 12.4 lb. of an 10) alloy containing 50% gold. He is going to melt and combine one metal that is 60%
sergeinik [125]
Now, let's say, we add "x" lbs of the 60% gold alloy, so..  how much gold is in it?  well, is just 60%, so (60/100) * x, or 0.6x.

likewise, if we use "y" lbs of the 40% alloy, how much gold is in it?  well, 40% of y, or (40/100) * y, or 0.4y.

now, whatever "x" and "y" are, their sum must be 12.4 lbs.

we also know that the gold amount in each added up, must equal that of the 50% resulting alloy.

\bf \begin{array}{lccclll}
&\stackrel{lbs}{amount}&\stackrel{gold~\%}{quantity}&\stackrel{gold}{quantity}\\
&------&------&------\\
\textit{60\% alloy}&x&0.6&0.6x\\
\textit{40\% alloy}&y&0.4&0.4y\\
------&------&------&------\\
\textit{50\% alloy}&12.4&0.50&6.2
\end{array}

\bf \begin{cases}
x+y=12.4\implies \boxed{y}=12.4-x\\
0.6x+0.4y=6.2\\
-------------\\
0.6x+0.4\left( \boxed{12.4-x} \right)=6.2
\end{cases}
\\\\\\
0.6x-0.4x+4.96=6.2\implies 0.2x=1.24\implies x=\cfrac{1.24}{0.2}
\\\\\\
x=\stackrel{lbs}{6.2}

how much of the 40% alloy?  well, y = 12.4 - x.
5 0
3 years ago
Kevin Horn is the national sales manager for National Textbooks Inc. He has a sales staff of 40 who visit college professors all
Oduvanchick [21]

Answer:

Following are the solution to the given points:

Step-by-step explanation:

Given values:

38, 40, 41, 45, 48, 48, 50, 50, 51, 51, 52, 52, 53, \\\\54, 55, 55, 55, 56, 56, 57, 59, 59, 59, 62, 62, 62, \\ 63, 64, 65,66, 66, 67, 67, 69, 69, 71, 77, 78, 79, 79

Total staff=40

In point a:

To calculate the median number first we arrange the value into ascending order and then collect the even numbers of calls that were also made. Its average of the middle terms is thus the median.

The midterms =55 and 59 so,

Median = \frac{55+59}{2} = \frac{114}{2}=57

In point b:

First-quarter Q_1 = \frac{1}{4} \text{number of 8th call}

                           =\frac{1}{4} \times  30 th \\\\= 7.5 th

The first quarterlies are 7.5th \  \ that  \ is = (7+0.5)th\ \  term

therefore the multiply of 0.5  by calculating the difference of the 7th and 8th term are:

=0.5 \times 0= 0 \\\\\to Q_1 = 50+0=50 \\\\\to Q_3=\frac{3}{4} \text{number of 8th call} \\\\=\frac{3}{4} \times  30 th \\\\=22.5 \ th  = (22+0.5)th  \ \ term

therefore the it is multiply by the 0.5 for the difference of the 22nd and 23rd term:

= 0.5 \times 1=0.5 \\\\\to Q_3= 63+0.5=63.5

In point c:

First decile D_1 = \frac{1}{18} \text{number of 8th call}

= \frac{1}{10} \times  30 th \\\\= 3rd \ \ term\\\\\to D_1= 41 \\\\\to D_9= \frac{9}{10} \times  8\  th\  call\\\\=\frac{9}{10} \times  30 th \\\\=27th \ \ term\\\\\to D9 = 67

In point d:

quartiles are:

Q_1= 51.25 \\\\Q_3=66

The right answers for the decile are:

D_1=45.3 \\\\ D_9=76.4

As for D) P_{33} = 53.53will be available.

7 0
2 years ago
Mario has nine Green, eight red, 10 brown, six orange, and nine blue M&Ms what fraction of the M&Ms are orange
gizmo_the_mogwai [7]

6 orange. 42 total. 6/42 = 1/7 of the M&Ms are orange.

6 0
2 years ago
What is the measure of each angle? Show your work!
nalin [4]

Answer:

pos: 99.  Sor: 17.    roq: 64

Step-by-step explanation:

(5x+4)+(x-2)+(3x+7)=180

we add the angles to 180 because straight lines are equal to 180

5x+4+x-2+3x+7=180

5x+x+3x+4-2+7=180

9x+9=180

9x=

9x=171

x=19

then we plug x in

5(19)+4 +  (19)-2  +3(19)+7 = 180

angles (left right)

99.   17.     64.      

6 0
3 years ago
Why did orgo check hos animal cookies before eating any
iVinArrow [24]
<span>He wanted to see whether the seal HAD been broken. </span>
5 0
3 years ago
Read 2 more answers
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