Newton's Law of Gravitation:
Statement: According to this law, when two mass bodies are separated at finite distance then there must be an attractive force experience by them which is directly proportional to the product of their masses and inversely proportional to the square of their separation.
Consider two mass bodies m1 & m2 be kept at distance d. Then the force of attraction F is given as
[tex]Fam_{1}.m_{2}[/tex]
[tex]Fa1/d^2[/tex]
Now, from above equations, we have
[tex]Fa\frac{m_{1}m_{2}}{d^2}[/tex]
or, [tex]F=G\frac{m_{1}m_{2}}{d^2}[/tex]
Here [tex]G=6.67*10^{-11}Mm^2kg^{-2}[/tex] is the universal gravitational constant.
Given the equation 8x + 4y = 2, a second equation that forms a system with no solution is:
Answer:
4x + 2y = 2
Step-by-step explanation:
8x + 4y = 2 ( divide each term by 2 )
4x + 2y = 1 → (1)
we require a situation where the left side cannot possibly equal the right side.
using 4x + 2y = 2 → (2)
subtract (1) from (2) term by term
(4x - 4x) + (2y - 2y) = 2 - 1 , that is
0 + 0 = 1
0 = 1 ← not possible
thus the system has no solution
What is the axis of symmetry of the following equation?
this is my last question. Can someone answer it?
Answer:
-25 is the simplest form
How do you solve this promblem?
Answer:
D is the correct answer.
Step-by-step explanation:
[tex]3 {x}^{2} + 7x - {(x + 4})^{2} - 9 [/tex]
[tex]3 {x}^{2} + 7x - ( {x}^{2} + 8x + 16) - 9[/tex]
[tex]3 {x}^{2} + 7x - {x}^{2} - 8x - 16 - 9[/tex]
[tex]2 {x}^{2} - x - 25[/tex]
What is the percent of the silo that is filled with corn at 10 hours. Use the picture bellow to get the answer.
Answer:
90.93%
Step-by-step explanation:
It is clear that the table is a linear function. That is, every hour, the amount of corn increases by the same amount. You can find the slope of the linear function by using the slope formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
In your case, the number comes out to be 825. So the number of corn will be 825*10 = 8250 cu ft.
Now, we know that the volume is area times height. So if the area is pi * r * r, then the volume of the shape is 2888*pi.
Therefore, the answer is 8250/2888*pi or 90.93%.
The cost of a jacket increased from $55.00 to $62.15. What is the percentage increase of the cost of the jacket?
Find the LCM of the following.
A. 28,42,35
B. 48,72,96
C. 36, 44
28/2= 14 42/2= 21 35/7= 5
14/ 2= 7 21/3= 7
28= 2^2 × 7
42= 2 × 3 × 7
35= 7 × 5
LCM= 420
B. 48,72,9648/2= 24. 72/2= 36. 96/3= 32
24/2= 12. 36/3= 12. 32/2= 16
12/3= 4. 12/3= 4. 16/2= 8
4/2= 2. 4/2= 2. 8/2= 4
4/2= 2
48= 2^4 × 3
72= 2^3 × 3^2
96= 2^5 × 3
LCM= 288
C. 36, 4436/3= 12. 44/2= 22
12/3= 4. 22/2= 11
4/2= 2
36= 3^2 × 2^2
44= 2^2 × 11
LCM= 396
Answer:
The answer is in the attachment
Step-by-step explanation:
!!PLEASE PLEASE PLEASE PLEASE MARK ME THE BRAINLIEST!!
A group consists of honest and extremely kind people.If 8 honest people and 12
extremely kind people can finish a piece of work in 10 days while 6 honest people and 8 extremely kind people can finish it in 14 days, then find the time taken by one honest people alone and that by one extremely kind people alone to finish the work.
Step-by-step explanation:
Please check the shots I sent you'll understand it perfectly
Write an expression that is equivalent to 16 + 56 using the product of the greatest common factor and a sum. ____ • ( 2 + ____ )
Answer:
Factors of 56: 1, 2, 4, 7, 8, 14, 28 and 56
Prime Factorization of 56: 56 = 23 × 7
Step-by-step explanation:
Can someone help please. 'Preciate it.
Answer:
c = 9
Step-by-step explanation:
Given equation:
[tex]\sf 6(c-1)=48[/tex]
Divide both sides by 6:
[tex]\implies \sf \dfrac{6(c-1)}{6}=\dfrac{48}{6}[/tex]
[tex]\implies \sf c-1=8[/tex]
Add 1 to both sides:
[tex]\implies \sf c-1+1=8+1[/tex]
[tex]\implies \sf c=9[/tex]
Answer:
9
Step-by-step explanation:
There are now 48 total cookies shared by the 6 plates after he takes 1 cookie (6 cookies)
48+6 is 54/6 is 9
Solve for h
pls will mark brainess
Answer:
Explanation: This is the answer
Answer:
[tex]h = 9\ cm[/tex]
Step-by-step explanation:
Step 1: Determine what h is
[tex]Area = \frac{h * b}{2}[/tex]
[tex]45\ cm^2 = \frac{h * 10\ cm}{2}[/tex]
[tex]45\ cm^2 *2 =\frac{h * 10\ cm}{2}*2[/tex]
[tex]90\ cm^2 = h * 10\ cm[/tex]
[tex]\frac{90\ cm^2}{10\ cm}= \frac{h*10\ cm}{10\ cm}[/tex]
[tex]9\ cm = h[/tex]
Answer: [tex]h = 9\ cm[/tex]
Please help! Will mark brainlyest.
Answer:
8
Step-by-step explanation:
5 - (-3) is like adding 5 + 3 which is 8
Please give me brainlist
Answer:
8
Step-by-step explanation:
To approximate the length of a marsh, a surveyor walks x=420 meters from point A to point B,then turns 75 degrees and walks 220 meters to point C (see figure). Approximate the length AC of the marsh. (Round your answer to one decimal place. )
Applying the law of cosine, b² = a² + c² - 2ac(cos B), the length of AC of the marsh, to one decimal place, is: 522.1 meters
What is the Law of Cosine?The Law of Cosine is given as, b² = a² + c² - 2ac(cos B).
From the diagram given, we have the following:
B = 180 - 75 = 105°b = AC (length of the marsh)a = 220 mc = 420 mPlug in the values into the law of cosine formula:
b² = 220² + 420² - 2(220)(420)(cos 105)
b² = 272,629.8
b = √272,629.8
b = 522.1 meters. (Length of AC of the marsh)
Learn more about the law of cosine on:
https://brainly.com/question/7872492
How do I solve this?
Answer:
By making use of Pythagoras theorem
Step-by-step explanation:
l²=4²+4²
=16+16=32
I=✓32
8²=x²+(✓32)²
64=x²+32
x²=64-32
x²=32
x=✓32
What is the first part of the second step to prove that Sn 1 + 2 + 4 +. + 2n - 1 = 2n - 1? a. Show that Sn is valid for n = k c. Assume that Sn is valid for n = k b. Verify that Sn is valid for n = 1 d. Prove that Sn is valid for n = k + 1
The first part of the second step to prove the sequence is to prove that Sn is valid for n = k + 1, Option D is correct.
What is geometric sequence?Geometric sequence is the sequence in which the next term is obtained by multiplying the previous term with the same number for the whole series.
The sum of geometric sequence is given as,
[tex]s_n=\dfrac{r^n-1}{r-1}[/tex]
Here, a is the first term of the sequence, n is total terms and r is the common ratio.
The given equation which need to be proved is,
[tex]S_n= 1 + 2 + 4 +. ...+ 2n - 1 = 2n - 1[/tex]
This can be proved by induction method. This can be done by induction method with two steps:
Prove n=0, without getting any data of other cases.If the data or problem is given then assume n=k. For the given case is also true for n=k+1. Thus, in second step prove that Sn is vaild for n=k+1.Thus, the first part of the second step to prove the sequence is to prove that Sn is valid for n = k + 1, Option D is correct.
Learn more about the geometric sequence here;
https://brainly.com/question/1509142
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What is an equation of the line that passes through the points (-3,8) and (-2,3)?
Answer:
y = -5x + 7
Step-by-step explanation:
You want to find the equation for a line that passes through the two points:
(-3,8) and (-2,3)First of all, remember what the equation of a line is:
y = mx+bWhere:
m is the slope, andb is the y-interceptFirst, let's find what m is, the slope of the line...
The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.
For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:
[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (-3,8), point #1, so the x and y numbers given will be called x₁ and y₁. Or x₁ = -3 and y₁ = 8.
Also, let's call the second point you gave, (-2,3), point #2, so the x and y numbers here will be called x₂ and y₂. Or, x₂ = -2 and y₂ = 3.
Now, just plug the numbers into the formula for m above, like this:
[tex]m=\frac{3-8}{-2--3}[/tex]
or...
[tex]m=\frac{-5}{1}[/tex]
or...
[tex]m=-5[/tex]
So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:
[tex]y=-5x+b[/tex]
Now, what about b, the y-intercept?
To find b, think about what your (x,y) points mean:
(-3,8). When x of the line is -3, y of the line must be 8.(-2,3). When x of the line is -2, y of the line must be 3.Because you said the line passes through each one of these two points, right?
Now, look at our line's equation so far: y=-5x+b. b is what we want, the -5 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (-3,8) and (-2,3).
So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!
You can use either (x,y) point you want..the answer will be the same:
(-3,8). y=mx+b or 8=-5 × -3+b, or solving for b: b=8-(-5)(-3). b=-7.(-2,3). y=mx+b or 3=-5 × -2+b, or solving for b: b=3-(-5)(-2). b=-7.See! In both cases we got the same value for b. And this completes our problem.
The equation of the line that passes through the points
(-3,8) and (-2,3)
is
y=-5x-7
What is the value of w?
Answer:
x=29.3 degrees
Step-by-step explanation:
Vertical angles are congruent therefore the angle with the dot in it is 60.7 degrees and the combination of the dot and w is 90 degrees. 90-60.7=29.3
please help me round to nearest hundredth
Answer:
(a) 2.27 lb/$
(b) 0.10 mi/min
Step-by-step explanation:
(a)Pounds per dollar is found by dividing pounds by dollars:
(25 lb)/($11.00) ≈ 2.272727... lb/dollar
The digit in the thousandths place is less than 5, so that digit and all digits to its right are dropped when rounding to hundredths.
2.27 pounds per dollar
__
(b)Speed in miles per minute is found by dividing miles by minutes:
(6 mi)/(58 min) ≈ 0.103448... mi/min
Rounding to hundredths is done the same way as above.
0.10 miles per minute
_____
If the digit to the right of the place you're rounding to is 5 or more, then 1 is added in the place you're rounding to when digits to its right are dropped.
Solve 2(x + 1) = 2x + 2.
- All real numbers
- No solution
- 0
- 1
What is the probability of choosing a gray button not replacing it and choosing gray again?
answer:
the probability of choosing a gray button is 3/5
after putting it back the probability remains the same, so 3/5 for both answers
Answer:
[tex]\sf \dfrac{3}{10}[/tex] = 0.3 - 30%
Step-by-step explanation:
[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]
Given:
Grey buttons = 3White buttons = 2Total buttons = 5[tex]\sf P(gray) = \dfrac35[/tex]
If the button is not replaced, there are now:
Grey buttons = 3 - 1 = 2White buttons = 2Total buttons = 5 - 1 = 4[tex]\sf P(gray) = \dfrac24=\dfrac12[/tex]
Therefore,
[tex]\sf P(gray)\:AND\:P(gray)= \dfrac35 \times \dfrac12=\dfrac{3}{10}[/tex]
Use the segmants tanget to a circle theorem to find perimeter of JLNQ
Answer: 28
Step-by-step explanation:
0.67 divided by 10 help someone
Answer:
0.067
Step-by-step explanation:
We just move 0.67's decimal point to the right by one since we are dividing by 10.
0.67 / 10 = 0.067
Sure hope this helps you :)
Give (✿◕‿◕✿)
A group photograph of a family of six (4children and their parents)is to be taken.if the parents must occupy the two middle seats.then the number of different arrangements is
Answer:
Let's find the number of arrangements with mother and father together, say N & then subtract it from total number of arrangements.
Total arrangements = 6! = 720.
Now, as mother & father are together, let's treat mother and father as a single person. Now, there're 5 persons.
Number of arrangements in this way = 5! = 120.
But mother and father can change their places in 2! = 2 ways.
N = 120 × 2 = 240.
Ans. = 720-240 = 480.
Step-by-step explanation:
1/4x + 1 + 3/4x - 2/3 - 1/2x =
Answer:
1/2x + 1/3
Step-by-step explanation:
1/2x + 1/3
The local fighter fighters collect toys to distribute a various give-away events they have 4569 toys and will sponsor 129 giveaway events. how many toys can they each give away at each event? how many toys if any, will be left over?
Please help me i don get it please show your work I will give brainyleast
Answer:
81.1 in
Step-by-step explanation:
To find the surface area of a triangular prism:
Find the base area and the remaining 3 rectangles and add them all together.
1.5*2=3 (base of the shape)
2*13=26
1.5*13=19.6
2.5*13=32.5
3+26+19.6+32.5=81.1
Condense and simplify log 4 + log 25.
Answer:
2
Step-by-step explanation:
log 4 +log 25
Since these two equations have the same base and are being added, we can multiply the arguments
it would be: log 100
which is 2
Answer:
2
Step-by-step explanation: In logs, the opposite of addition is multiplication. Also, there needs to be only 1 log when you're condensing. So you'll multiply 4*25=100. And just plug in your calculator log(100) which is 2.
Hope this helps.
The regular tax to be paid with any purchase is 8%. How much tax did Anthony pay if he bought school supplies worth ₱5 000?
Answer:
400
Step-by-step explanation:
8% of 5000 is 400. Math:
5000 x 0.08 = 400
need help finding x
Answer:
The answer is X equals 12
Step-by-step explanation:
I hope you get it right!
PLEASE FAST!!!! WILL GIVE BRAINLIEST!!!
Answer: 3 2/9
Step-by-step explanation:
It would be the numbers exact form. Not totally sure but it would be my best guess.