The formula to calculate the gravitational force between two objects is F_g=GM_1M_2/r^2, where M_1 and M_2 are the masses of the objects, G is the gravitational constant and r is the distance between the objects. Solve for M_1 in terms of F_g, G, M_2 and r.
Answer:
[tex]M_{1}[/tex] = [tex]\frac{F_{g}r^{2} }{GM_{2} }[/tex]
Step-by-step explanation:
From Newton's law of universal gravitation, the force of attraction between two objects of masses [tex]M_{1}[/tex] and [tex]M_{2}[/tex] is given as:
[tex]F_{g}[/tex] = [tex]\frac{GM_{1} M_{2} }{r^{2} }[/tex]
Thus, cross multiply to have;
[tex]F_{g}[/tex][tex]r^{2}[/tex] = G[tex]M_{1}[/tex][tex]M_{2}[/tex]
then divide through by G[tex]M_{2}[/tex] to have,
[tex]M_{1}[/tex] = [tex]\frac{F_{g}r^{2} }{GM_{2} }[/tex]
Therefore, [tex]M_{1}[/tex] can be expressed in terms of [tex]F_{g}[/tex], [tex]r^{2}[/tex], G, [tex]M_{2}[/tex] as [tex]\frac{F_{g}r^{2} }{GM_{2} }[/tex]
3x + 8 = 3x+
What value could you write in after 3x that would make the equation true for:
no values of x?
Answer:
any number except 8
Step-by-step explanation:
help plzzzzzzzzzzzzzz
Answer:
a) 20ft
Step-by-step explanation:
just multiply the model length and the scale factor
which equation represents the graph below
A. y= x^2 + 3
B. y= -x^2 + 3
C. y= -x + 3
D. y= -x^2
Answer:
B
Step-by-step explanation:
The y-intercept is 3 and the parabola is facing down which means the x^2 has to be negative.
Write an equation in point-slope form that describes the line with a slope of -3 that contains the point (1,2)
Answer:
y - 2 = -3(x - 1)Step-by-step explanation:
The point-slope form of equation of function passing the point (x₀,y₀) where m is the slope is: y - y₀ = m(x - x₀)
m = -3
(1, 2) ⇒ x₀ = 1, y₀ = 2
y - 2 = -3(x - 1)
A string of lights has two blinking lights. One blinks every twelve minutes while the other blinks every forty four minutes. If they both blinked at 1pm, when is the next time they will blink again. (Find the LCM (Least Common Multiple))
Answer:
They will both blink again at 3:12 pm.
Step-by-step explanation:
As indicated by the question, the way to solve is to find the Lowest (or Least) Common Multiple of both numbers.
As such:
[tex]\text{List the factors of 12 and 44:}\\12=2*2*3\\44=2*2*11\\\\\text{Take the common factors only once and multiply them by the non-common factors:}\\2*2*3*11=132 \text{ (LCM)}[/tex]
Now knowing the LCM is 132, we convert those minutes into hours and minutes:
[tex]\frac{132}{60}=2\frac{12}{60} \text{ (2 hours and 12 minutes)}[/tex]
Add this to the original time:
[tex]1:00\text{ pm } + \text{ }2:12 \text{ }= \text{ }3:12\text{ pm}[/tex]
find the missing number that will make the statement true
The price for a house with an area of 56 mx 48 m is RM375 800. Calculate the price for 1
square meter of the house correct to three significant figures.
PLEASEEEE HELPPPP ME!!!
Answer:
a,b,d
Step-by-step explanation:
I think the answer might be 1, 4, and 5. Hope this helps!
Find the angle measure. Round to the nearest tenth
Answer:
45.6
Step-by-step explanation:
IF x is theta
arccos(7/10)
*make sure your calculator is in degree mode
x= 45.57
please answer this question correctly please answer this question correctly
Answer:
[tex]\frac{(8+2)^2}{2} = 50[/tex]
[tex]10+5^2-3 * 2^2 = 23[/tex]
Step-by-step explanation:
[tex]\frac{(8+2)^2}{2}[/tex]
[tex]\frac{10^2}{2}[/tex]
[tex]\frac{100}{2}[/tex]
50
------------------------------
[tex]10+5^2-3 * 2^2[/tex]
[tex]10+25-3 * 4[/tex]
[tex]10+25-12[/tex]
[tex]35-12[/tex]
23
Find the simple interest paid to the nearest cent for each principal, interest rate, and time. $570, 2%, 4 years
Answer:
570 of 2% 4years
570×2÷100 4years
11.5 × 4÷12
3.8..
Chau made $105 for 7 hours of work.
At the same rate, how much would he make for 13 hours of work?
Answer:
$195
Step-by-step explanation:
102/7 = $15/hour
15 x 13 = $195
May someone please help me with this :)
Answer:
14.3 yd
Step-by-step explanation:
apply the pythagorean Theorem formula:
= sqrt(14^2 +3^2)
= sqrt(205)
roughly 14.3 yd
give the center and the radius of the circle of x^2+y^2+6x-8y=0
(x+a)² + (y+b)² = R²
C (a,b)
R = 5 C( 3 , -4 )
When Emily arrived home from school, she spent 8 minutes eating a snack. Then, she spent 15 minutes playing with her dog and 32 minutes doing her chores. Finally, Emily spent 45 minutes finishing her homework. How long had Emily been home when she finished her homework?
Answer:
1 hour and 40 mins
Step-by-step explanation:
Which of the following is a solution for the equation x /6 = 7? A. x = 1 B. x = 6 C. x = 7 6 D. x = 42
Answer:
x = 42
Step-by-step explanation:
[tex]\frac{x}{6} = 7[/tex]
Multiply both side of the equation by 6.
[tex]6(\frac{x}{6} ) = 7 * 6[/tex]
∴ x = 42
So, the answer is D.
Hope this helps
Cant seem to figure out the answer help?
Answer:
The surface area is 900cm^2
Step-by-step explanation:
Multiply 3 and 10 to get 30
Then square 30 by multiplying 30 x 30, to get 900.
Answer:
The Surface of the area is 30.
Step-by-step explanation:
Multiply 3 and 10. And you get 30. Hoped this helped : )
HELP! What is equivalent to (8.4z+2.5)+(-3.7x+5
Answer: -21x + 32z + 15
Step-by-step explanation:
Help me plzz...!!!!!!!!!!
Answer:
i can see can we talk
Step-by-step explanation:
The point g (2,2) is translated 3units to the right and 4units up what are the coordinates of this resulting point, g?
Answer:
(5,6)
Step-by-step explanation:
Generally, is the coordinate (x,y) is translated right by a units and up by b units, the resulting coordinate wil be;
g(X, Y) = (x+a, y+b)
To the right is along the positive x axis while up is along the positive y axis
Given a = 3 and b = 4
g(X,Y) = (2 + 3, 2 + 4)
g(X, Y) = (5, 6)
Hence the resulting coordinate of g is (5,6)
60 points!!! pls help
Answer:
im answering so the other guy can get brainliest...
hv a great day!!! :)
Step-by-step explanation:
Part A.
Tisha is putting boxes together to make an art project. She has already put two boxes together. What is the volume of the two boxes, A and B, that Tisha put together?
A.
189 cm3
B.
207 cm3
C.
288 cm3
D.
519 cm3
Part B.
Tisha still needs to add one more box to her project. What will be the volume of Tisha’s art project when she adds Box C?
A.
198 cm3
B.
207 cm3
C.
234 cm3
D.
528 cm3
Answer:
The first answer is b then the second is c
Step-by-step explanation:
Answer:
B and C
Step-by-step explanation:
4.37÷0.01
plsssss give me answer need it nowwwwwwww
Answer:
473
Step-by-step explanation:
4.37 ÷ 0.01 = 473
A membership price for the local pool went
from $80 to $60. What is the percent
change in membership cost?
please help ASAP... here is a question WRITE 894 290 000 IN SCIENTIFIC NOTATION
Answer:
hey there, the answer is 8.9429 × 10^8
Answer:
8.9429 × 10^8
Step-by-step explanation:
ya the answer is 8.9429 × 10^8
20 points!! Pls help
Answer:
(-4, 1)Step-by-step explanation:
-x-3=y, therefore x = -y-3
-3x - 8y = 4
Find the value of y
Substitute the x in -3x - 8y = 4 with -y-3
We get
-3·(-y-3) - 8y = 4
3y + 9 - 8y = 4
-5y = 4-9
-5y = -5
y = 1_______________
Find the value of x
x = -y-3
x = -1-3
x = -4_______________
Answer (x, y) =
(-4, 1)_____________________
#IndonesianPride - kexcvi
Answer:
Ok Here:
Step-by-step explanation:
STEP BY STEP
Substitution:
-x-3=y
-3x-8y=4
Solve for X Substitute for Y
-3x-8(-x-3)=4 -(-4)-3=y
-3x+8x+24=4 4-3=y
5x+24=4 y=1
-24
5x=-20
5/5 = -20/5
x=-4
Solution: (-4,1)
which equation can be used to determine the value of x?
Answer:
choice 1) 2x + 40 = 180
Step-by-step explanation:
(x + 10) + (x + 30) = 180
2x+ 40 = 180
Answer:
X+30+x+10=180
combine like terms
2x+40=180
subtract 40 from both sides
2x=140
divide by 2
x=70
but for you it is 2x+40=180
A cylinder has a height of 8 feet and a radius of 3 feet. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.
Answer:
226.08 ft
Step-by-step explanation:
using the formula for volume of cylinder
πr²h
3.14× 3²×8= 226.08 ft
Please I need help
I need the equation of the graph below
Answer:
0x 57=63
Step-by-step explanation: