Answer:
Only Cory is correct
Step-by-step explanation:
The gravitational pull of the Earth on a person or object is given by Newton's law of gravitation as follows;
[tex]F =G\times \dfrac{M \cdot m}{r^{2}}[/tex]
Where;
G = The universal gravitational constant
M = The mass of one object
m = The mass of the other object
r = The distance between the centers of the two objects
For the gravitational pull of the Earth on a person, when the person is standing on the Earth's surface, r = R = The radius of the Earth ≈ 6,371 km
Therefore, for an astronaut in the international Space Station, r = 6,800 km
The ratio of the gravitational pull on the surface of the Earth, F₁, and the gravitational pull on an astronaut at the international space station, F₂, is therefore given as follows;
[tex]\dfrac{F_1}{F_2} = \dfrac{ \dfrac{M \cdot m}{R^{2}}}{\dfrac{M \cdot m}{r^{2}}} = \dfrac{r^2}{R^2} = \dfrac{(6,800 \ km)^2}{(6,371 \ km)^2} \approx 1.14[/tex]
∴ F₁ ≈ 1.14 × F₂
F₂ ≈ 0.8778 × F₁
Therefore, the gravitational pull on the astronaut by virtue of the distance from the center of the Earth, F₂ is approximately 88% of the gravitational pull on a person of similar mass on Earth
However, the International Space Station is moving in its orbit around the Earth at an orbiting speed enough to prevent the Space Station from falling to the Earth such that the Space Station falls around the Earth because of the curved shape of the gravitational attraction, such that the astronaut are constantly falling (similar to falling from height) and appear not to experience gravity
Therefore, Cory is correct, the astronauts in the International Space Station, 6,800 km from the Earth's center, are not too far to experience gravity.
Kyle ran the race in three and one hundred three thousandths seconds. Which number shows three and one hundred three thousandths in standard form.
Answer:
Ran =3,103
Seconds = 1330
Step-by-step explanation:
I got this answer hope its right hope this helps: )
need help pls!!!! Algebra
Answer:
11
Step-by-step explanation:
In ΔSTU, s = 3.8 inches, t = 9.8 inches and u=9.6 inches. Find the measure of ∠U to the nearest 10th of a degree.
Answer:
m∠U = 75.7°
Step-by-step explanation:
use Law of Cosines:
9.6² = 3.8² + 9.8² - 2(3.8)(9.8)·cos U
92.16 = 14.44 + 96.04 - 74.48·cos U
92.16 = 110.48 - 74.48·cosU
-18.32 = -74.48·cosU
cos U = -18.32/-74.48
cos U = 0.24597
arccos U = 75.7
Answer:
m∠U = 75.7°
Step-by-step explanation:
its on delta and if you use a calculator then its m∠U = 75.7°
This is a Doubt. Can someone tell me if it is right or wrong?
Answer:
It's correct
Step-by-step explanation:
;)
Find the Volume of a hemisphere that has a radius of 8 centimeters. Round to the nearest tenth
Answer:1072.3
Step by step:
use the hemisphere formula which is 2/3*pie*r^3
substitute 8 centimeters into the equation.
The Volume of a hemisphere is,
⇒ Volume of hemisphere = 1071.78 cm³
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
We have to given that;
Radius of hemisphere = 8 centimeters
We know that;
Volume of hemisphere = 2/3 (πr³)
Hence, We get;
⇒ Volume of hemisphere = 2/3 × 3.14 × 8³
⇒ Volume of hemisphere = 1071.78 cm³
Thus, The Volume of a hemisphere is,
⇒ Volume of hemisphere = 1071.78 cm³
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The ratio of dogs to people at the park is 3 to 4. There are 336 total
dogs and people at the park.
How many people are at the park?
Answer:
you got this u are really smart
Step-by-step explanation:
While shopping at Best Buy, you find the brand new laptop you have been wanting. The laptop originally costs $189.99 but is marked for 25% off. Find the discount amount and the new purchase price of the laptop before taxes.
Answer:
$142.49
Step-by-step explanation:
1. 25% = 0.25
2. 189.99 × .25 = 47.4975
3. 189.99 - 47.4975 = 142.4925
4. $142.49
On circle O below, SE is a diameter. What is the measure of ZISE?
Answer: 34
Step-by-step explanation:
iTS LEGIT EASY POINTS XD
Answer:
thanks boyz
Step-by-step explanation:
Answer:
7x+78
Step-by-step explanation:
i just know
Multiple Choice The Astrodome-in Houston, Texas, is circular and has a diameter of 710 feet. What is the approximate circumference of the Astrodom
Answer:
Step-by-step explanation:
[tex]C=\pi d\\ \\ C=710\pi ft\\ \\ C\approx 2230.5 ft[/tex]
Answer:
2230.53
Step-by-step explanation:
The area of the triangle is
108 m². What is the value
of x?
xm
(x+6) m
Answer:
x = 12
Step-by-step explanation:
Formula for area of a triangke is;
A = ½bh
Where;
b is base
h is height
From the triangle diagram given;
b = x + 6
h = x
Thus;
A = ½(x + 6)x
A = ½x² + 3x
Now we are told that the area is 108 m², Thus;
½x² + 3x = 108
Multiply through by 2 to get;
x² + 6x = 216
x² + 6x - 216 = 0
Using quadratic formula, we arrive at;
x = -18 or 12
x can't be negative, thus; x = 12
What is a reasonable height for a 5-story building?
16 mm
16 km
16 cm
16 m
Answer:
16 km !
Step-by-step explanation:
all the others are FAR too small.. they wouldnt even be one story up ! and 16m isnt 5 stories either... km would be right !
i hope this helps !!
Plz hurry
What is the measure of each angle?
40 points!!!!
Answer:
you didnt add a picture so im taking the points <3
Step-by-step explanation:
I would help if you provided more information
Please help due tonight
Tom buys 3 burgers and 5 drinks for $34. Jane buys 2 burgers and 6 drinks for $36. How much is each burger and each drink?
si el dividendo es 800 el cociente es 160 y el residuo es 0 ¿cuál es el divisor?
ayudaaa
Answer:
Él dividendo seria 5
Step-by-step explanation:
Por que si dividimos 800 ÷ 5 = 160 y no nos quedan residuos
ESPERO Y TE AYUDE ;)
In this hexagon, all the angles are equal. What is the measure of angle x°?
Answer:
Option - b: 60
Step-by-step explanation:
Sum of exterior angle = 360
Exterior angle = 60
6x = 360
x = 360 / 6 = 60
HELP LAST ONE :”)) PLZ HELP ME I WILL LITERALLY LOVE U
Answer:
y=-2x+6
Step-by-step explanation:
Did on Calculator.
Answer:
its really simple x is increasing by 1 and y is decresing by 2
Step-by-step explanation:
David is running a unique coffee shop. He
charges $25 per coffee. If a customer pays
$67 for 2 coffees, how much change should
be given back by David?
PLEASE HELP!! view attachment!!
The sum of two numbers is 18 and their difference is 4 what are the two numbers?
Answer:
7 and 11
Step-by-step explanation:
Let the two numbers be x and y
x+y = 18
x-y = 4
Add the two equations together to eliminate y
x+y = 18
x-y = 4
----------------
2x +0y = 22
Divide each side by 2
2x/2 = 22/2
x = 11
Solve for y
x+y = 18
11+y =18
Subtract 11 from each side
11+y-11 =18-11
y = 7
The two numbers are 7 and 11
Use the figure shown below to find the value of x
what i don't understand why you are not answer that question
Find the product -10 x (-12)
x²-6x-72
Step-by-step explanation:
(x+6)(x-12)
(x×x)-(x×12)+(6×x)-(6×12)
x²-12x+6x-72
x²-6x-72
Answer:
120
Step-by-step explanation:
The rules of multiplication state, that when there are two negatives being multiplied by each other, they become positive. You will multiply -10 x -12, and since there are two negatives, they cancel out.
Now it becomes simple multiplication. Simply multiply 10 x 12, without the negatives since they have been canceled out.
-10 x (-12) = 120
1) obeserve os numeros e diga:
-15, +6, -1, 0, +54, +12, -93, -8, +23, -72, +72
a) quais os numeros inteiros negativos?
b)quais os numeros inteiros postivos?
Find the absolute value:
5.34 -4 2/11 0
-6 3/5 -2.12 8.2
Answer:
Change the positive numbers to negative and change the negative numbers to positive.
Step-by-step explanation:
I hope this helps u! :D
Pass a brotha some help :(
Answer and Step-by-step explanation:
Distribute the 1p to the y and -6 and distribute the 2 to the 3y and 6.
10y - 50 + 6y + 12
Now, combine like terms.
16y - 38
#teamtrees #PAW (Plant and Water)
Y=? Need help ASAP very much appreciated
Answer:
8
Step-by-step explanation:
I'm guessing the answer is 8 because when y is -8, x is 4. So, my thought in mind is when x is negative, y is positive. It also says, "If the value of "y" varies directly with "x". So, this means the answer is 8. You're very much welcome! Also, I'm sorry if this is incorrect. I tried my best with this question but I'm pretty sure the answer is 8! Have a great day sunshine!! :)
Answer: y = 8
Step-by-step explanation:
Write 62/100 as a decimal
Answer:
.62
Step-by-step explanation:
62 ÷ 100 = .62
:)
Answer: 0.62
Step-by-step explanation: plz this is the right answer because we have to always put like this
62/100 -> 62/100 you have to always go backward when it 0 then u can go one time when it 00 then you have to go twice 62/100 count 62 oh sorry I couldn't show very well but that is how it is
Kenny wants to take his dog to obedience school. At Sit and Stay School, 12 lessons cost $96. At Canine Community Center, 25 lessons cost $125. Which is the better deal?
Answer:
25 lessons that cost $125
Step-by-step explanation:
If 8 lessons cost $96
then, 96/12 =8
therefore a lesson costs $8
If 25 lessons costs $125
then, 125/25= 5
therefore a lesson costs $5 which is cheaper.
7
9
3
10
Simplify the answer if possible.)
i don't really get what the question is could you write it again?
Write the equation of an exponential function that satisfies these characteristics:
1. y intercept of (0,5)
2. range is all y values greater than 0
The value of the exponential equation is y = 5ˣ + 4
What are the laws of exponents?When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.
The different Laws of exponents are:
mᵃ×mᵇ = mᵃ⁺ᵇ
mᵃ / mᵇ = mᵃ⁻ᵇ
( mᵃ )ᵇ = mᵃᵇ
mᵃ / nᵃ = ( m / n )ᵃ
m⁰ = 1
m⁻ᵃ = ( 1 / mᵃ )
Given data ,
Let the exponential equation be represented as A
Now , the value of A is
The y intercept is ( 0 , 5 )
So , when x = 0 , the value of y = 5
Substituting the values in the equation , we get
y = 5ˣ + 4 be equation (1)
when x = 0
y = 5⁰ + 4
y = 1 + 4
y = 5
when x = 2
y = 5² + 4
y = 25 + 4 = 29
Therefore , the range is all y values greater than 0
Hence , the equation is y = 5ˣ + 4
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