Answer:
Electric force = 8.20x10⁻⁸ N
Gravitational force = 3.61x10⁻⁴⁷ N
Step-by-step explanation:
1. The electric force can be found using the following equation:
[tex] F_{e} = \frac{Kq_{e}q_{p}}{d^{2}} [/tex]
Where:
K: is the Coulomb's constant = 9x10⁹ N.m²/C²
[tex]q_{p}[/tex]: is the charge of the proton = 1.6x10⁻¹⁹ C
[tex]q_{e}[/tex]: is the charge of the electron = -1.6x10⁻¹⁹ C
d: is the distance = 5.3x10⁻¹¹ m
Hence, the magnitude of the electric force is:
[tex] |F_{e}| = \frac{9\cdot 10^{9} N.m^{2}/C^{2}*(-1.6\cdot 10^{-19} C)*1.6 \cdot 10^{-19} C}{(5.3 \cdot 10^{-11} m)^{2}} = 8.20 \cdot 10^{-8} N [/tex]
2. The gravitational force can be calculated as follows:
[tex] F_{g} = \frac{Gm_{e}m_{p}}{d^{2}} [/tex]
Where:
[tex]m_{e}[/tex]: is the electron's mass = 9.1x10⁻³¹ kg
[tex]m_{p}[/tex]: is the proton's mass = 1.67x10⁻²⁷ kg
G: is the gravitational constant = 6.67x10⁻¹¹ N.m²/kg²
Therefore, the gravitational force is:
[tex] F_{g} = \frac{6.67 \cdot 10^{-11} N.m^{2}/kg^{2}*9.1 \cdot 10^{-31} kg*1.67 \cdot 10^{-27} kg}{(5.3 \cdot 10^{-11} m)^{2}} = 3.61 \cdot 10^{-47} N [/tex]
As we can see, the gravitational force is much less than the electric force.
I hope it helps you!
Which of the following is NOT a proportion? *
3/9 = 12/36
5.2 / 4 = 3.9 / 3
8 / 16 = 16 / 24
12 / 2 = 7.2 / 1.2
Answer:
8/16=16/24
Step-by-step explanation:
A survey was conducted of 880 college students attending the same university. They were offered a list of 10 different internet service providers and were asked to select the one they prefer. Can a service provider receiving only 89 votes come out on top?
Answer: Yes
Step-by-step explanation:
From the question, we are informed that a survey was conducted of 880 college students attending the same university and that they were offered a list of 10 different internet service providers and were asked to select the one they prefer.
Basee on this information, if everyone selected equal numbers, each service provider will get (880 / 10 = 88 students). In this case, if someone has 89 votes, this means that another person will get 87 votes while the remaining 8 service providers gets 88 students each. Therefore, the device provider with 89 votes can come out on top.
In the diagram below, AB|| DEF , AE and BD intersect at C, m angle B = 43 degrees, and m angle CED equals 152 degrees. Please show work correctly !!!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!
Answer:
71
Step-by-step explanation:
Answer:
3)
Step-by-step explanation:
152 - 90 = 62
180-152 = 28 which <CED and <BAC = 28.
180-28-43 = 109
<ACD = 71 because if <ACB = 109. then think of DCB as a 180 degree. 180-109. then it is 71.
hope this help
Ron can buy seven candy bars for $4.41. What would be the cost of 2 candy bars?
a $8.82
b $0.63
c $1.26
d $1.15
Brittany had already read 13 books this year before joining a book club, and she plans to read 4 books every month now that she has joined. After belonging to the book club for 7 months, how many books will Brittany have read in all? Write and solve an equation to find the answer.
Answer
41 books in total.
Step-by-step explanation:
Brittany read 13 books before the book club.
4 books each month for 7 months
7 x 4 = 29
28 + 13 = 41
Hope this helps <3
20 points!
I need help!
I will also be doing a 50 point giveaway later!
Answer:
5. There were 30 students in that class.
6. Drew weighed 245 pounds at the start.
Step-by-step explanation:
5. Since 3 students are absent in which represents 10% of the classroom, multiply the number 3 by 10 to get 30 students which represents the full roster.
6. 20% of his original weight is 49, multiply that number by 5 to get the original weight which is 245 pounds.
Answer:
5. 3 / 0.1 = 30 students
6. 49 / 0.2 = 245 lbs
ABE is the image of ACD after a dilation centered at the origin. Which ratio is equal to the scale factor of k of the dilation
1.2/3
2.3/2
3.3/4
4.4/3
Answer:
3
Step-by-step explanation:
Your answer
O
This is a required question
Maria spent 1/3 of the money her grandparents gave her on an adventure
book. She also spent 1/9 of the money on a bag of candy.
What fraction of the payment has Maria spent?
Answer:
4/9
Step-by-step explanation:
if you make 1/3 x 3 to put it at /9, it will give you 3/9, now, 3/9+1/9=4/9 sorry for bad english
Dylan's mother gets a restaurant bill for $25. She has a coupon for 15% off. After the discount is applied, she adds 20% tip for the server. What is the total that Dylan's mom will pay at the restaurant?
Given:
Amount of bill = $25
Coupon = 15% off
Tip = 20% after discount is applied.
To find:
The total that Dylan's mom will pay at the restaurant.
Solution:
We have,
Amount of bill = $25
Discount = 15%
Amount after discount = 25 - 15% of 25
[tex]=25-\dfrac{15}{100}\times 25[/tex]
[tex]=25-3.75[/tex]
[tex]=21.25[/tex]
So, amount after discount is $21.25.
Tip = 20%
Total Amount = Amount after discount + Tip
[tex]\text{Total Amount}=21.25+\dfrac{20}{100}\times 21.25[/tex]
[tex]\text{Total Amount}=21.25+4.25[/tex]
[tex]\text{Total Amount}=25.5[/tex]
Therefore, Dylan's mom will pay total $25.5 at the restaurant.
Which ordered pair below is a solution to y ≥ 3x + 5
Answer:
c
Step-by-step explanation:
because 6>3×(-2)+5
6>1
Can someone substitute this? Please and thank you
Step-by-step explanation:
soln
given
y=2x+3 -----(i)
y=-x-9 ------(ii)
now, putting value of equation (i) in (ii)
y= -x-9
or, 2x+3 = -x-9
or, 2x+x = 9-3
or, 3x = 6
or, x = 6/3
or, x = 2
again,
y = 2x+3
or, y = 2×2+3
or, y = 7
therefore, value of X and Y are 2 and 7 respectively.
I NEED HELP PLZ I WILL GIVE THANKS AND BRAINLIST
Answer: Infinite solutions
Step-by-step explanation:
This is because they're the same and will have the same points till the line ends.
It's when the equations intersect at a point that they have one solution.
When the lines a parallel, they have no solutions.
Hope this helped!
2.(03.07)
Solve 2x^2 - 8x = -7. (2 points)
Answer:
Step-by-step explanation:
Make a quadratic:
2[tex]x^{2}[/tex]-8x+7=0
Then use quadratic formula to solve.
It would be x= 2 ± [tex]\frac{2}{\sqrt{2} }[/tex]
I NEEDS THE HELP PLEASE
Answer:
x+6<10
5x<20
x-2<2
hope this helps!!:)
Step-by-step explanation:
Answer:
Step-by-step explanation:
Select the correct statement about the function represented by the table.
Plz help!
Answer:
I believe that it is B
Malala is following this recipe for bread rolls.
She uses 200 ml of water.
How much of each of the other ingredients does she use?
Recipe: Makes 15 bread rolls
550 g flour
12 g salt
10 g yeast
30 ml oil
500 ml water
PLEASE HELPPP
7. Alex makes $30,000 a year at his job
and gets $2,500 a year raise every year.
Sydney makes $40,000 a year and gets a
$2,000 raise every year. How many years
will it take for them to make the same
salary?
Answer:
It will take them 20 years to make the same salary
Step-by-step explanation:
Let us solve the question
Assume that they will have the same salary after x years
∵ Alex makes $30,000 a year at his job
∵ He gets a $2,500 a year raise every year
∵ He will work x years
→ That means his salary is the sum of a fixed amount and the raise times x
∴ His salary = 30000 + 2500(x) ⇒ (1)
∵ Sydney makes $40,000 a year
∵ He gets a $2,000 raise every year
∵ He will work x years
→ That means his salary is the sum of a fixed amount and the raise times x
∴ His salary = 40000 + 2000(x) ⇒ (2)
∵ They will make the same salary after x years
→ Equate (1) and (2)
∴ 30000 + 2500x = 40000 + 2000 x
→ Subtract 30000 from both sides
∴ 2500x = 2000x + 10000
→ Subtract 2000x from both sides
∴ 500x = 10000
→ Divide both sides by 500
∴ x = 20
∴ It will take them 20 years to make the same salary
(7x + 34)
(10x - 23)
The sum of three consecutive odd integers is 765. What are the three
integers?
Answer: 254, 255, 256
Step-by-step explanation:
Divide the total by 3 to get the integer in the middle. 255.
Subtract 1 to get the first integer, 254.
Add 255 + 1 to get the third integer, 256.
can somebody help me ?
Answer:
$3.07
Step-by-step explanation:
36.84/12=3.07
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In ABC, AC is extended through point C to point D,
m< BCD = (9x - 1), m
m
Answer:
cx
Step-by-step explanation:
A pair of boots are $94.99. They are 25% off. With this discount, what is the sale price?
5 points
Answer:
94.99 - 23.7475 = 71.24 dollars.
Step-by-step explanation:
If the student council will purchase a total of 600 S. Drinks how many of these drinks should be a Dr Pepper based on the results of the survey favorite soft drink Coke number of votes 22 favorite soft drink Dr Pepper no more vote 56 they were soft drink Sprite number of votes 24 favorite soft drink Pepsi number of votes 18
Cornell is going to purchase a flat-screen TV for $367. The store charges 8% sales tax. What will the total price be for Cornell's purchase?
The answer options are in the photo.
(I accidentally clicked the A so that is why it’s like that)
Is it a 3 or 4 choice question?
This is GCF so ..
-3x^4+12x^3-21x^2
Answer:
The greatest common factor in that expression is 3x², giving you the expression:
3x²(-x² + 4x -7)
Step-by-step explanation:
All three terms are divisible by three:
3(-x⁴ + 4x³ - 7x²)
Each term is also divisible by x²:
3x²(-x² + 4x -7)
So the greatest common factor is 3x²
Cyanobacteria, also known as blue-green algae, are a kind of bacteria found in many lakes. These organisms make their own food through photosynthesis. Small animals, including mayfly larvae, eat the cyanobacteria. Small fish, such as yellow perch, eat the mayfiy larvae. The small fish provide food for larger fish, such as walleye. Choose the level of the food pyramid that represents the energy role of cyanobacteria in the lake ecosystem.
Level 1
Level 2
Level 3
Level 4
The table shows the amount of money Tyler earns for mowing lawns. Is the
relationship a proportional relationship? Complete the explanation.
Answer:
The constant of variation 'k' is NOT constant.
Therefore, we conclude that Taylor did not charge a constant rate. The rates are not equal because his rate changed.
Step-by-step explanation:
Given the table
Number of Lawns 1 2 3 4
Amount Earned ($) 16 32 54 72
We know that when y varies directly with x, we get the equation
y ∝ x
y = kx
k = y/x
where 'k' is called the constant of proportionality.
In our case, the 'Amount earned ($) ' is represented by 'y', and the 'Number of Lawns' is represented by 'x'.
Let us check the constant of proportionality using the equation
k = y/x
k = 16/1 = 16
k = 32/2 = 16
k = 54/3 = 18
k = 72/4 = 18
It is clear that that the constant of variation 'k' is NOT constant.
Therefore, we conclude that Taylor did not charge a constant rate. The rates are not equal because his rate changed.
The solution to the system of equation below is (−2, −1).
2x − 3y = −1
11x − 9y = −13
When the first equation is multiplied by −3, the sum of the two equations is equivalent to 5x = −10.
Which system of equations will also have a solution of (−2, −1)?
5x = −10
11x − 9y = −13
2x + 9y = −1
11x − 9y = −13
−6x + 9y = −1
11x − 9y = −13
−6x + 3y = −1
5x = −10
Answer:
is not b
Step-by-step explanation:
i got an 80% on my test and i got this answer wrong and i chose b and it was wrong and it doesn't show me the correct answer plz give me at least 3 star rating im not wrong my answer is right just not specific.
Answer:
Answer is A
5x = −10
11x − 9y = −13
Step-by-step explanation:
Got it right on Edge
Р
R
(x+40)
(3x-20)
T
(3x-20)
S
y=3x-20 thats ur answer good luck
write as single power of 7?
(7^2)^-2
Answer:
[tex]7^{-4}[/tex]
Step-by-step explanation:
Using the rule of exponents
[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex] , then
[tex](7^2)^{-2}[/tex]
= [tex]7^{2(-2))}[/tex]
= [tex]7^{-4}[/tex]