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.
Callie has a new kitten. The kitten weighs 3 pounds less than half the weight of Callie’s cat. Together, the cat and the kitten weigh 18 pounds. Which system of equations could be used to find the weight of each animal?
Let K = Kitten and C = Callie the Cat
A) K= 1/2C-3
K+C=18
B) K= 1/2C+3
K-C=18
C) K= 1/2C+3
K= -C+18
D) K= 1/2C-3
C - K=18
Answer:
A) K=1/2C-3
K+C=18
Step-by-step explanation:
How do I find these equations using substitution y=-3x+5 and 5x-4y=-3 ?
Answer:
x=1
Step-by-step explanation:
you would change it to 5x-4(-3x+5)=-3, because you put the info for the first equation into the second equation.
5x-4(-3x+5)=-3
5x+12x-20=-3
17x-20=-3
17x=17
x=1
Answer:
(1,2)
Step-by-step explanation:
1) To solve using substitution, first isolate one of the variables in one of the equations. However, the y in y = -3x + 5 has already been isolated, so we don't need this step. Instead, take that value of y and substitute it for the y in the other equation, 5x - 4y = -3. So, substitute -3x + 5 for the y in 5x - 4y = -3 and solve:
[tex]5x-4(-3x+5)= -3\\5x+12x-20=-3\\17x-20=-3\\17x = 17\\x = 1[/tex]
2) So, x = 1. Now, take that value of x and substitute back into any of the equations to find the y value. (I chose to substitute it into y = -3x + 5, but either choice is fine). So, substitute 1 for the x in y = -3x + 5 and solve:
[tex]y = -3(1)+5\\y = -3+5\\y = 2[/tex]
So, y = 2. Thus, by knowing both x and y values, the solution would be (1,2).
If you earn $10 per hour babysitting, and you work 5 hours per week, how much money will you earn in 4 weeks?
Answer:
$200
Step-by-step explanation:
1 week: $50
1 week ($50) x 4 = $200
Answer: You will earn $200 in the span of 4 weeks.
Step-by-step explanation:
• First, multiply the pay rate ($10 per hour) by the number of hours (5), yielding $50 a week.
• Multiply the total pay in the span of 1 week by the number of weeks (4 in this case), resulting in $200 in the span of 4 weeks.
What is an equation of the line that passes through the points (5,4) and (2,-2)?
maybe this will help
https://socratic.org/questions/what-is-the-equation-of-the-line-that-passes-through-2-2-and-5-4#475768
The differnce between a number divide by 3 and 4 is 20
Answer:
(n/3)/4 =20
Step-by-step explanation:
i think this is what your looking for if not im sorry
have a blessed day :)
Determine if the sequence if geometric. If yes, identify the common ratio and give the next three terms. If
no, type none for the common ratio and the next three terms.
{2700,900,300,...}
Answer:
yes, it's a geometric sequence with common ratio of 1/3
33 1/3, 11 1/9, 3 19/27
Step-by-step explanation:
2700, 900, 300, 100, 33 1/3, 11 1/9, 3 19/27
Pls check my answers i don’t know if they’re correct
Answer:
Yes, you have it right
Step-by-step explanation:
The ratio is 2-1, with the length being 1, and the width being 2. The width is always going to be 2 times the amount of length. And you have done it right here. Nice job!
Solve the system by substitution.
-4x-y=1
-9x+9=y
Answer:Add
9
to both sides of the equation.
x
=
y
+
9
x
+
y
=
6
Replace all occurrences of
x
with
y
+
9
in each equation.
Tap for more steps...
2
y
+
9
=
6
x
=
y
+
9
Solve for
y
in the first equation.
Tap for more steps...
y
=
−
3
2
x
=
y
+
9
Replace all occurrences of
y
with
−
3
2
in each equation.
Tap for more steps...
x
=
15
2
y
=
−
3
2
The solution to the system is the complete set of ordered pairs that are valid solutions.
(
15
2
,
−
3
2
)
The result can be shown in multiple forms.
Point Form:
(
15
2
,
−
3
2
)
Equation Form:
x
=
15
2
,
y
=
−
3
2
image of graph
Step-by-step explanation:
tim bought all of the 2 3 over 4 lb packages for a party
How many pounds of meat fid tim buy?
Answer: he bought 1 and 1/2 pounds of meat. (also could be written as 1.5 pounds)
Step-by-step explanation:
We know that Tim bought all of the two 3/4 lb packages for a party.
Then he bought 2 packages. Such that each package has 3/4 lb meat.
Then the total amount of meat that Tim has is equal to 2 times the amount of meat in each package, this is:
Total meat = 2*(3/4 lb) = (6/4 lb)
and we can write 6 = 4 + 2
then:
Total meat = 6/4 lb = (4 + 2)/4 lb = (4/4 + 2/4) lb = (1 + 1/2) lb
So he bought 1 and 1/2 pounds of meat. (also could be written as 1.5 pounds)
state and
prove angle
angle
sum property of triangle
Answer:
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Step-by-step explanation:
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Angle sum property of triangle states that the sum of interior angles of a triangle is 180°
We need to prove angle sum property.
What is angle sum property?
The sum of interior angles of a triangle is 180 degrees
Consider a ∆ABC, as shown in the figure below. To prove the above property of triangles, draw a line PQ parallel to the side BC of the given triangle
Since PQ is a straight line, it can be concluded that:
∠PAB + ∠BAC + ∠QAC = 180° ………(1)
Since PQ||BC and AB, AC are transversals,
Therefore, ∠QAC = ∠ACB (a pair of alternate angle)
Also, ∠PAB = ∠CBA (a pair of alternate angle)
Substituting the value of ∠QAC and ∠PAB in equation (1),
∠ACB + ∠BAC + ∠CBA= 180°
Thus, the sum of the interior angles of a triangle is 180°.
To learn more about angle sum property click here: https://brainly.com/question/21364160
#SPJ2
Please someone help me with this question
Answer:3^2
Step-by-step explanation:
A family of 2 adults and 3 children went on holiday to Miami.
The family visited a theme park.
They paid a total of 322 dollars to go in.
The exchange rate was £1 = 1.84 dollars.
Change 322 dollars to pounds (£).
Answer:
£175
Step-by-step explanation:
Given the exchange rate was £1 = 1.84 dollars.
We are to change 322 dollars to pounds (£).
£1 = 1.84 dollars.
x = 322 dollars
Cross multiply
1.84 * x = 322
1.84x = 322
x = 322/1.84
x = 175
Hence 322 dollars in pounds will be £175
a cylinder has height of 12 and a diameter of 10 find the volome
Answer:
942.48
Step-by-step explanation:
V=πr^2h=π·5^2·12≈942.4778
Progress:
Simplify the expression to a polynomial in standard form:
(3x + 5)(2x2 – 2x – 1)
Answer:
Submit Answer
2 -6x -x+15 remove the parennthesies collect like tearms and reoreder like terms then you get your answer
ASAP plot the graph here arigato
Answer:
Its point A. Or 4,5 or -4,5
Step-by-step explanation:
please help me someone with this problem
Graph the line with the given slope that passes through the given point
Slope=2;(-1,4)
Answer:
BStep-by-step explanation:
Point (-1, 4) it's point where x-coordinate is -1 and y-coordinate is 4
Graph in B is the only one passing through (-1, 4)
The equation of the line is y = 2x + 6. The graph is represented by B.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given that the slope of the line is 2 and the point through which it is passing is (-1,4).
The equation of the line will be calculated as,
y = mx + c
y = 2x + c
4 = -2 + c
c = 6
The equation will be written as,
y =2x + 6
The graph of the line is attached with the answer below.
To know more about an equation of the line follow
https://brainly.com/question/18831322
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Find the volume of a cylinder with a radius of 3 cm and a height of 7 cm. Round to the nearest hundredth.
Answer:
197.82
Step-by-step explanation:
The formula for cylinder volume is
π * r^2 * h
r is radius h is height
3.14 * 3^2*7
3.14 * 9 * 7
28.26*7
197.82
The volume is 197.82
A,E, and D are collinear. BCDE is a parallelogram. Find m
Answer:
B. 29º
Step-by-step explanation:
Given that BCDE is a parallelogram, then [tex]BE \parallel CD[/tex] and A, E and D are collinear. Then, angle E inside triangle ABE and angle D inside parallelogram BCDE have the same measure. That is:
[tex]\angle D = \angle E = 51^{\circ}[/tex] (1)
In addition, the sum of internal angles in triangles equals 180º, which implies that:
[tex]\angle A + \angle B + \angle E = 180^{\circ}[/tex] (2)
If we know that [tex]\angle B = 100^{\circ}[/tex] and [tex]\angle E = 51^{\circ}[/tex], then [tex]\angle A[/tex] is:
[tex]\angle A = 180^{\circ}-\angle B - \angle E[/tex]
[tex]\angle A = 180^{\circ}-100^{\circ}-51^{\circ}[/tex]
[tex]\angle A = 29^{\circ}[/tex]
Hence, correct answer is B.
Answer:
The answer would be be 29 degrees
Step-by-step explanation:
A(n) _____ inequality is an inequality involving a quadratic expression.
A. Quadratic
B. Linear
C. Absolute value
D. Rational
Answer:
Step-by-step explanation:
A.Quadratic
Is (1,3) a solution to this system of equations?
4x+5y=19
x+5y=16
Answer:
yes
Step-by-step explanation:
Answer:
yes!
Step-by-step explanation:
4 + 15 = 19
1 + 15 = 16
hope that helped! i'm not the best at explaining stuff, srry!
If Evan wants 5/8 mile to his friends house then together they walked 7/12 mile to the movie theater which pair of fractions can avenues to find how far they walked in all
Answer:
5/8 + 7/12
Step-by-step explanation:
Miles to friends house = 5/8
Ditance to the movies = 7 1/2
To find the total distance walked in Wal, we sun the fraction of distance Evans walked to his friend's house and the distance walked from friend's house to the movies ;
That is :
5/8 + 7/12
= 29/24 miles
solve this please
log(4x+16)=2
Answer:
X = -3.5
Step-by-step explanation:
Answer:
-7/2
Step-by-step explanation:
4x+16=2
-16 -16
4x= 2-16
4x=-14
/4 /4
x= -7/2
What is 817x45 in standerd algorithm pls help
Answer:
Step-by-step explanation:
817
x 45
_______
+ 4085
+ 32680
__________
36,765
Answer:
36,765
Step-by-step explanation:
Attched below
Can you please tell me the equation to solve for x
Answer:
53 + 67 + x = 180
Step-by-step explanation:
Answer:
180 = 53 + x + 67
(A straight line equals 180°)
good luck, hope this helped :)
Angle A and B are supplementary. I m∠A = 143°, find m∠B
I don't understand the question.
Answer:
b=37
Step-by-step explanation:
if the angles are supplementary then they will add up to equal 180.
to find b you just subtract 143 from 180 to get 37
1. What do you remember about the slope of a line? 2. A ramp may not be steeper than 1:12. Draw a right triangle whose "rise" is 1 unit, and whose "run" is 12 units. 3. Set up a trig ratio and use it to solve for the maximum angle of elevation of the ramp. Round to the nearest hundred 4. The height of the door on your restaurant is 9.5 inches from the ground. Using the maximum angle of elevation possi what would the length of the ramp be (x)? What would the horizontal distance be (y)
I remember every thing it was so good j set ramp
3. Write the function g(x) = -x2 - 4x in vertex form, using decimals as necessary.
Answer:
The vertex form is [tex]y=-(x+2)^2+4[/tex]
Step-by-step explanation:
Please help right now
Answer:
C
Step-by-step explanation:
the negative sign in -0.3 implies that it is below and the only answer choice with the word below is
C: New orleans is 0.3m below sea level
Toby is trying to show his teacher why the product of two rational numbers is another
rational number. His first steps are shown. Which is the best method Toby could use to
proceed?
L
B
Using the concept of rational numbers, it is found that the best method Toby could use is a multiplication of fractions, as the product of two fractions(two rational numbers) is always a fraction(rational number).
-------------
A rational number, no matter if an integer, a finite decimal or a repeating decimal can always be represented by a fraction.The product of two fractions will always result in a fraction, as the numerator of the multiplication is the multiplication of the numerator of the factors, and same for the denominator.Thus, since the product of two fractions is always a fraction, the product of two rational numbers is always a rational number.A similar problem is given at https://brainly.com/question/10814303