Satellite
Mass
(kg)
An engineer is collecting data on
four different satellites orbiting
Earth. The engineer records the
satellites' distances from Earth in
kilometers (km) and their forces
due to gravity in Newtons (N).
Distance
(km)
4000
Force due to gravity
(N)
17000
1
700
2.
700
36000
3
1000
11000
4
1000
7000
8100
Estimate the values for the two
missing quantities. Enter your
estimates into the blank boxes in
the table.
The first missing quantity is force due to gravity, and it is 215.1 N.
The second missing quantity is distance between the statellite and the Earth, determined as 6,000 km.
Force between two massesThe force between two masses is determined by applying Newton's law of universal gravitation as shown below;
[tex]F = \frac{GMm}{R^2}[/tex]
where;
M is mass of Earth = 5.97 x 10²⁴ kgm is mass of the satelliteR is the distance between the satellite and the EarthG is universal gravitation constantFirst missing quantityThe first missing quantity is force due to gravity, and it is calculated as follows;
[tex]F = \frac{(6.67 \times 10^{-11} ) \times (5.97 \times 10^{24}) \times (700)}{(36,000 \times 10^3)^2} \\\\F = 215.1 \ N[/tex]
Second missing quantityThe second missing quantity is distance between the statellite and the Earth,
[tex]R^2 = \frac{GMm}{F} \\\\R^2 = \frac{(6.67 \times 10^{-11})(5.97 \times 10^{24})(1000)}{11,000} \\\\R^2 = 3.62 \times 10^{13}\\\\R = 6,000 \ km[/tex]
Learn more about Newton's law here: https://brainly.com/question/3999427
A store can buy 8 cartons of milk for 24 dollars or 7 cartons of milk for $28.
How much less does each carton of milk cost if the store buys 8 cartons instead of 7 cartons?
A.
$1 less
B.
$2 less
C.
$3 less
D.
$4 less
Answer:
a
Step-by-step explanation:
28/7=4
24/8=3
What is the slope of the line shown below?
(-4, 3)
(3, 1)
0 0
7
A. - 23
B.
c.
D-3
take two points : (-4, 3), (3, 1)
[tex]\sf slope: \sf \dfrac{y_2-y_1}{x_2-x_1}[/tex] where (x1, y1), (x2, y2)
Insert the following values
[tex]\hookrightarrow \sf \dfrac{1-3}{3-(-4)}[/tex]
[tex]\hookrightarrow \sf \dfrac{-2}{3+4}[/tex]
[tex]\hookrightarrow \sf -\dfrac{2}{7}[/tex]
slope:-
m=1-3/3-(-4)m=-2/3+4m=-2/7Pls help I will give brainliest.
Answer:
50 yards
Step-by-step explanation:
This is a 3-4-5 triangle. You can use this shortcut to find the hypotenuse. (Multiply the3, 4, 5 by 10) OR
You could also use Pythagorean Theorem.
30^2 + 40^2 = h^2
900+1600=h^2
2500 = h^2
Squareroot.
50 = h
What is 34107.12 to the nearest half centimeters? 
Answer:
34107cm
Step-by-step explanation:
pleasee help I would appreciate very!
Answer:
D
Step-by-step explanation:
We can visually see the line going down so the slope is negative. (-30)
The y-intercept must be 120, because it does not intersect 90.
Probability which can be classified as an event
The probability of an event is the number of favorable outcomes divided by the total number of outcomes possible. Converting the fraction 35 to a decimal, we would say there is a 0.6 probability of choosing a banana. This basic definition of probability assumes that all the outcomes are equally likely to occur.
hope it helps...!!!
what is the value of 0 in the number 9,603,450,503
Answer:
0
Step-by-step explanation:
0 x 10
0 x 1000
0 x 10 000 000 they all equal 0
Hey there!
9,603,450,503
“Nine billion six hundred three million four hundred fifty thousand five hundred three”
9,000,000,000
+ 600,000,000
+ 00
+ 3,000,000
+400,000
+ 50,000
+ 00
+ 500
+ 00
+ 03
9 = billions (9 billion)
,
6 = Hundred Millions (600 million)
0 = Ten Millions
3 = Millions (3 million)
,
4 = Hundred Thousands (400 thousand)
5 = TenThousands (50 thousand)
0 = Thousands
,
5 = Hundreds (5 hundreds)
0 = Tens
3 = ones (3)
So, therefore your answer(s) is/are:
• ten millions
• thousands
• tens
Good luck on your assignment & enjoy your enjoy your day!
~Amphitrite1040:)
7. If 60 gal. of oil flows through a pipe in 15 min., how long will it take to fill up
500 gal. tank? Answer in hours/min/sec.
Answer: 2 hours and 5 minutes .
Step-by-step explanation:60 divided by 3 is 20 and 20 gal= 5 minutes .
500 divided by 20 is 25 .25 times 5 minutes is 2 hours and 5 minutes
What is the length of segment NS?
1 unit
2 units
4 units
6 units
Answer:
4 units yan po sana makatulong
Marlene is going on a camping trip with a group of friends. She brings 3 boxes of granola bars, plus 3 extra bars. Robyn bring 2 boxes of granola bars and Wendy brings one box. They have a total of 57 granola bars. If each box contains the same number of bars, how many bars are in each box?
Answer:
19
Step-by-step explanation:
What is the scale factor from ABC to DEF?
Answer:
C
Step-by-step explanation:
^
Students in Mrs. Curry's class recorded the amount of snowfall in January and February.
Snowfall in January (inches)
5, 3, 7, 1, 8, 4, 3, 6, 1, 5, 8
Snowfall in February (inches)
8, 4, 2, 6, 6, 3, 8
The class then made line plots of this data, but they made some mistakes. Which of the following are mistakes that the students made? Select all that apply.
A line plot named Please dont delete im having issues in my school please answer
Answer:
A and C
Step-by-step explanation:
One ticket from New York City to Paris cost $1,572. How much would it cost a family of 8 to fly from New York City to Paris?
Answer:
It's simple number of family here is 8 x the coast of 1 ticket
Step-by-step explanation:
1572 x 8 =12576
Answer:
$12,576
Step-by-step explanation:
You just have to multipy the cost of one ticket by 8.
47 pts )Is this proportional or non- proportional a glacier
48/32 and 42/48
What’s the answer proportional or non proportional?
Let's simplify
48/32Take 16
3/2And
42/48Take 6
7/8No they are non proportional
What is the total length of border needed in feet and
inches?
Which graph represents the parametric equations x(t) = t – 4 and y(t) = t2 + 5 for –1 ≤ t ≤ 2?
Which graph indeed?
Eliminate the parameter:
x = t - 4 ⇒ t = x + 4
⇒ y = t² + 5 = (x + 4)² + 5
which is the equation of a parabola with vertex at (-4, 5) and opening upwards, plotted with domain
-1 ≤ t ≤ 2 ⇒ -1 ≤ x + 4 ≤ 2 ⇒ -5 ≤ x ≤ -2
Answer:
it is c
Step-by-step explanation:
What is the value of digit 3 in 659.13 in words?
ASAP PLEASE
Which statement below compares the decimals correctly?
NO LINKS PLEASE
A. 0.94 = 0.74
B. 0.74 > 0.94
C. 0.94 < 0.74
D. 0.74 < 0.94
Answer:
D. 0.74 < 0.94
Step-by-step explanation:
0.74 is less than 0.94 because 7 is less than 9. Plus that's just how math works
Please answer the attachment!
The perimeter of any shape is the length of all the sides added up:
1. For the rectangle
[tex]6 + (3x - 1) + (3x - 1) + 6 = 6x - 2 + 12 =6x + 10[/tex]
2. For hexagon
[tex]10.2 + (x+4)+(x+4)+10.2+(x+4)+(x+4)=4x + 16 + 20.4=4x + 36.4[/tex]
Hope that helps!
What is the area of the figure?
Answer:
Explanation:
So you want to start by finding the area of the big square.
We know the width of the big square is 60cm. The length of the big square is
19
+
24
+
13
=
56
Big square
A
r
e
a
=
L
⋅
W
=
56
⋅
60
=
3360
Now let’s find the little square inside the bigger square. We see from the picture that the width is 34 and the length is 24cm. Using the same formula, we can find the area of the little square.
Little square
A
r
e
a
=
L
⋅
W
=
24
⋅
34
=
816
The area enclosed in the area of the big square minus the area of the little square.
3360
−
816
=
2544
So the area enclosed is
2544
c
m
2
Step-by-step explanation:
Carly needs $149 to buy a skateboard. She already has $52. She earns money washing cars for $20 a car.
Carly says that if she washes 5 cars she will have enough money to buy the skateboard.
Use the drop-down menus to explain how to solve this problem.
First, multiply
Choose...
× $20 to find how much money Carly will earn washing cars. Then add this amount to
Choose...
to find how much money Carly has in all. Finally,
Choose...
the total to the cost of the skateboard.
Answer:
Answer:
$149 - skateboard price
$52 - carly's money
$20 × 5 cars = $100
$100 + $52 = $152
$152 - $149 = $3 left
Step-by-step explanation:
The calculations for standard structural shapes are based on
Answer: The nomenclature for steel shapes follows two standards: For wide flange, bearing pile, S-shapes, channels, and tees
tep explanation:
multiply then elimination
2x+y=3
-x+3y=-12
Answer:
X = 3
Y = -3
Step-by-step explanation:
Solve the following equation for x. 10=2-4(ax-3)
Answer:
[tex]x=\frac{1}{a}[/tex]
Step-by-step explanation:
10 = 2 - 4 (ax - 3)
10 = 2 - 4ax + 12
10 = - 4ax + 14
-4 = -4ax
1/a = x
Help???? i’m not good w Algebra
Answer:
Answer A
Step-by-step explanation:
All equations except A end up as no solutions when put in an Algebra calculator
My math teacher randomly assigned this but it’s something far outta my range, I need some help!!!!!
If d=26 then r = d/2 = 13
...........................................
A number I divided by 3 is at most 5
Q. Solve using the quadratic formula x2 + 4x – 16 = 0 ?
-
answer choices
2 + 25
A
B 2 + 4V5
C -2 + 275
D -2 + 4V5
Answer:
Step-by-step explanation:
ax² + bx + c = 0
[tex]x_{1}[/tex] = [tex]\frac{-b - \sqrt{b^2 -4ac} }{2a}[/tex]
[tex]x_{2}[/tex] = [tex]\frac{-b+\sqrt{b^2 -4ac} }{2a}[/tex]
~~~~~~~~~~~~~~~~~~~
x² + 4x - 16 = 0
a = 1 , b = 4 , c = - 16
[tex]x_{1}[/tex] = ( - 4 - [tex]\sqrt{16+64}[/tex] ) ÷ 2 = - 2 - 4√5
[tex]x_{2}[/tex] = - 2 + 4√5
Is 32,000 millimeters = 3.2 liters?
Answer:
no
Step-by-step explanation: