31. Two charged particles, each of 2 x 10-C, are brought from infinity to a
separation of 5 cm. Find the increase in electrical potential energy in the
process.
Answer:
P = 72 J
Step-by-step explanation:
Given that,
Charges, [tex]q_1=q_2=2\times 10^{-5}\ C[/tex]
These charges are brought from infinity to a separation of 5 cm.
We need to find the increase in the electrical potential energy in the process. The formula for the electric potential energy is given by :
[tex]P=k\dfrac{q_1q_2}{r}\\\\P=9\times 10^9\times \dfrac{(2\times 10^{-5})^2}{0.05}\\\\P=72\ J[/tex]
So, the required electric potential energy is 72 J.
Answer: bye
Step-by-step explanation:
for sending answers to people with stipud messages that’s why nobody replied to your questions cause your annoying it’s karma have a bad day with your pixelated profile picture
Help me with math please
Answer:
Option C i.e. Alternate Interior is correct.
Step-by-step explanation:
From the figure, it is clear that the two parallel lines, let say l and m, are cut by a traversal.
In other words,
if [tex]l[/tex] ║ [tex]m[/tex], then ∠x ≅ ∠y
In our case, x and y are alternate interior angles.
Thus, the two parallel lines, let say l and m, are cut by a traversal, making the alternate interior angles x and y.
Please note that the alternate interior angles x and y are congruent.
Hence, option C i.e. Alternate Interior is correct.
If g(x)= x^2 - 7x Find g(y-8)
Answer:
The answer is y² - 23y + 120.
Step-by-step explanation:
The steps to do :
g(x) = x² - 7x
g(y - 8) = (y - 8)² - 7(y - 8)
g(y - 8) = y² - 16x + 64 - 7y + 56
g(y - 8) = y² - 23y + 120
g(y-8) is equal to the quadratic expression y² - 23y + 120.
To find g(y-8), we need to substitute y-8 into the function g(x) = x² - 7x in place of x.
Replacing x with y-8, the function becomes:
g(y-8) = (y-8)² - 7(y-8)
To simplify, we expand and simplify the expression:
(y-8)² = (y-8)(y-8) = y² - 16y + 64
-7(y-8) = -7y + 56
Combining the terms, we have:
g(y-8) = y² - 16y + 64 - 7y + 56
Simplifying further:
g(y-8) = y² - 23y + 120
Therefore, g(y-8) is equal to the quadratic expression y² - 23y + 120.
By substituting y-8 into the function g(x), we obtained a new function g(y-8) in terms of y. This allows us to evaluate g(y-8) for any value of y and determine the corresponding output.
To learn more about the quadratic function;
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I need help please. Thank you
Answer:
try 4 inches
Step-by-step explanation:
since the diameter is 8 inches, then we can do 82 to find the radius, or 4 inches.
You sell small and large candles at a craft fair. You collect $144 selling a total of 28 candles. How many of each type of candle did you sell? A photo shows a small candle labeled 4 dollars each and a large candle labeled 6 dollars each.
Answer:
The number of
Small candles = x = 12 candles
Large candles = y = 16 candles
Step-by-step explanation:
You sell small and large candles at a craft fair. You collect $144 selling a total of 28 candles. How many of each type of candle did you sell? A photo shows a small candle labeled 4 dollars each and a large candle labeled 6 dollars each.
Let the number of
Small candles = x
Large candles = y
Our system of equations is:
x + y = 28 .......... Equation 1
x = 28 - y
A photo shows a small candle labeled 4 dollars each and a large candle labeled 6 dollars each.
4x + 6y = 144......... Equation 2
Substitute 28 - y for x in Equation 2
4(28 - y) + 6y = 144
112 - 4y + 6y = 144
- 4y + 6y = 144 - 112
2y = 32
y = 32/2
y = 16 candles
x = 28 - y
x = 28 - 16
x = 12 candles
Therefore:
The number of
Small candles = x = 12 candles
Large candles = y = 16 candles
A cat chased after a dog for l mile, and then stop to rest. As soon as the cat sotped,the dog chased after the cat for 1500 yard back towards their starting point. How many yards were the ainmals for her starting point?
Answer:
0.14768 mile
Step-by-step explanation:
Given that:
Distance at which cat chased dog = 1 mile ; hence they've moved 1 mile from their starting position
Distance for. Which dog chased cat =. 1500 yards towards starting position
Converting miles to yards
1 mile = 1760 yards
1 yard = 0.000568 mile
Number of miles the animals are from Their starting position :
1760 yards - 1500 yards = 260 yards
260 * 0.000568 = 0.14768 mile
find the equation of a line whose intercepts on the x-axis is -2 and parallel to 2y + x - 1=0
Answer:
y = -1/2x-1 would have a x-intercept of -2 when graphed!
An observation tower's shadow is 32 feet long. Not far away, a marble column's shadow is 8 feet long. If the observation tower is 60 feet tall, how tall is the marble column?
Answer:
15 feet
Step-by-step explanation:
This is calculated using the formula
Height of observation tower/Shadow of observation tower = Height of Marble column/Shadow of marble column
From the question
Height of observation tower = 60 ft
Shadow of observation tower = 32 ft
Height of Marble column = ? x
Shadow of marble column = 8 ft
Hence:
60ft/32ft = x/8ft
Cross Multiply
60ft × 8 ft = 32ft × x
x = 60 ft × 8 ft/32 ft
x = 15 ft
Therefore, the marble column is 15 feet tall
A man is 5 feet 9 inches tall. To find the height of a tree, the shadow of the man and the shadow of the tree were measured. The length of the man's shadow was 3 feet 6 inches. The length of the tree's shadow was 10 feet 6 inches. What is the height of the tree?
Answer:
17 feets 3 inches
Step-by-step explanation:
Given :
Converting the parameters to inches only:
Recall:
1 feets = 12 inches
Man's height : 5 feets 9 inches = (12 *5) + 9 = 69 inches
Man's shadow : 3 feets 6 inches = (12 * 3) + 6 = 42 inches
Tree's shadow : 10 feets 6 inches = (12 * 10) + 6 = 126 inches
(Tree's height / tree's shadow) = (man's height / man's shadow)
Let tree's height = x
x / 126 = 69 / 42
Solve for x
42x = 126 * 69
42x = 8694
x = 8694 / 42
x = 207 inches
207 / 12 = 17 feets 3 inches
Answer:
17.25 ft
Step-by-step explanation:
The figure shows two triangles X Y Z and H R Q. Side X Y has a length of h units, side Y Z has a length of 10 feet 6 inches, angle Y is a right angle. Side H R has a length of 5 feet 9 inches, side R Q has a length of 3 feet 6 inches. Angle R is a right angle.
Let h be the height of the tree.
Convert all measurements to a single unit, inches, using the fact that 1 foot is equal to 12 inches.
ZY=(10⋅12) in.+6 in.
Simplify.
ZY=126 in.
QR=(3⋅12) in.+6 in.
Simplify.
QR=42 in.
HR=(5⋅12) in.+9 in.
Simplify.
HR=69 in.
ZX¯¯¯¯¯ and QH¯¯¯¯¯¯ are parallel because the rays of the Sun that form them are parallel. Therefore, the angles they form with the ground are congruent: ∠Z≅∠Q.
∠Y≅∠R by the Right Angle Congruence Theorem.
Therefore, by the Angle-Angle Similarity △ZXY~△QHR.
Find XY. Set up a proportion with the lengths of the known sides and the unknown length (height of the tree).
ZY/QR = XY/HR
Substitute the values.
126/42=h/69
Cross multiply.
42h=69(126)
Simplify.
42h=8694
Divide both sides by 42.
h=207 in.
Therefore, the height of the tree is 207 in., or 17.25 ft.
I need help with this please help .
Answer:
Subs: 49.5 students, Tex-mex: 144 students, Italian: 31.5 students
Step-by-step explanation
The number of students eating a type of food can be found by using:
Percent * number of students
So in this equation, we can use this formula to find the answers.
Subs:
22% * 225 = 0.22 * 225 = 49.5
Tex-mex:
64% * 225 = 0.64 * 225 = 144
Italian:
14% * 225 = 0.14 * 225 = 31.5
There is an issue- you can't have half a person. Either this question is wrong, or the person who wrote it didn't keep this in mind.
Ask your teacher whether this question is right, or just leave the answer like this.
Need help on this one
Answer:
Step-by-step explanation:
The first step is to isolate g.
Multiply by 4
When you do that you get
4*(1/4 g) = 4*(3/5)
g = 12/5
g = 2.4
Here is a right-angled triangle.
601
XCm
5 cm
Cos 60° = 0.5
b) What is the value of x?
(2)
Answer:
Hypotenuse = 10 Cm
Step-by-step explanation:
Given:
θ = 60°
Base = 5 cm
Hypotenuse = x cm
Find:
Hypotenuse
Computation:
Cos θ = Base / Hypotenuse
Cos 60° = 5 / Hypotenuse
0.5 = 5 / Hypotenuse
Hypotenuse = 10 Cm
brainliest if its correct
Please help asap!!
Find the missing side lengths
math question problem
Flora made 3 withdrawals of $75 each from her bank account. What was the overall change in her account?
The overall change in her account will be the deduction of $225 from the beginning of her account.
What is the Subtraction operation?Subtraction is a mathematical operation that deducts the right-hand operand from the left-hand operand.
for example 4 -2 = 2
We have been given that Flora made 3 withdrawals of $75 each from her bank account.
We have to determine the overall change in her account
Let's assume that the amount at the beginning of her account would be $1000.
The overall change in her account is equal to the difference between the beginning of her account and the amount of the total withdrawals
The overall change in her account = $1000 - $75 × 3
The overall change in her account = $1000 - $225
Apply the subtraction operation,
The overall change in her account = $775
Thus, the overall change in her account will be the deduction of $225 from the beginning of her account.
Learn more about Subtraction operations here:
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Given the following, find the value of x.
(4x+45)
(5x-18)
Step-by-step explanation:
Hey ..but there is nothing from which question can be equated ..
like if they are equal to zero..
or
(4x+45)=(5x-18)
i am giving answer for both scenarios
(4x+45)=0
4x=-45
x=-45/4
x=(-11.25)
(5x-18)=0
5x=18
x=18/5
x=3.6
Incase if they both are equal to each other...
(4x+45)=(5x-18)
(45+18)=(5x-4x)
63=x
x=63
Hope it helps you
Have a nice day
A company that makes hair-care products had 4,000 people try a new shampoo. Of 4,000 people, 24 had a mild allergic reaction. What percent of the people had a mild allergic reaction?
Please help me!!!
the answer is 0.6% i think hope this helps
Answer:
0.6%
Step-by-step explanation:
[tex]\frac{24}{4000}[/tex] = 0.6%
To get the solution, we are looking for, we need to point out what we know.
1. We assume, that the number 4000 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 4000, so we can write it down as 100%=4000.
4. We know, that x% equals 24 of the output value, so we can write it down as x%=24.
5. Now we have two simple equations:
1) 100%=4000
2) x%=24
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=4000/24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for 24 is what percent of 4000
100%/x%=4000/24
(100/x)*x=(4000/24)*x - we multiply both sides of the equation by x
100=166.666666667*x - we divide both sides of the equation by (166.666666667) to get x
100/166.666666667=x
0.6=x
x=0.6
now we have:
24 is 0.6% of 4000
Solve the algebraic equation -4x +2 (x - 1)^2
Answer:
2x^2 - 8x + 2
Step-by-step explanation:
-4x + 2(x-1)^2
= -4x + 2(x^2 -2x +1)
= -4x + 2x^2 - 4x + 2
= -8x + 2x^2 + 2
=2x^2 - 8x + 2 (usually put the exponent kind of things first)
Help and explain please?
Which of these figures has rotational symmetry
Answer:
D or C more than likely D
Step-by-step explanation:
Help Asap 15points pic below
Answer:
[tex]\frac{1}{r^{10} }[/tex]
Step-by-step explanation:
Using the rule of exponents
[tex]\frac{a^{m} }{a^{n} }[/tex] ( with n > m )
= [tex]\frac{1}{a^{(n-m)} }[/tex]
Then
[tex]\frac{r^{2} }{r^{12} }[/tex]
= [tex]\frac{1}{r^{(12-2)} }[/tex]
= [tex]\frac{1}{r^{10} }[/tex]
HELPPP what is 2x - 5 by the Square root of 9
The solution set of 2(x+4) -5 =-4 is *
-5
3
5
-4
Step-by-step explanation:
2(x+4)-5=-4
2x+8-5=-4
2x=-4-8+5
2x=-12+5
2x=-7
x=-7/2
4.Solve -3.1s = -19.22.
A.
-59.582
B.
6.2
C.
-6.2
D.
59.582
Plzzz
Answer:
s=6.2
Step-by-step explanation:
-3.1s=-19.22
divide -19.22 by -3.1 to get s
s=6.2
how do I solve the symptoms of linear equations by substitution
2x-y=23
x-9=-1
Answer:
x = 8, y = -7
in coordinate form: (8,-7)
Step-by-step explanation:
first, find x using the second equation:
x - 9 = -1
add 9 to both sides of the equation
x - 9 + 9 = - 1 + 9
x = -1 + 9
x = 8
next, substitute x for 8 in the first equation:
2x - y = 23
2 * 8 - y = 23
16 - y = 23
16 - y + y = 23 + y
16 = 23 + y
16 - 23 = y
y = -7
also, I had this exact question on an assignment earlier today ahah
HELP!!!!!!!!!!!! ITS FOR A FRIEND
The population in Smalltown in 2010 was 30,500 people and is growing exponentially at a rate of 3 percent. Write an equation that defines the population t years after 2010?
what is −1−2.5 as a decimal
Answer: 3.5
Step-by-step explanation:
Answer:
3.5
Step-by-step explanation:
Transversal d intersects lines e and f to form 8 angles. The angles formed with line e, clockwise from top left, are 35 degrees, blank, 6, blank. The angles formed with line f, clockwise from top left are 5, 57 degrees, blank, 4. For the diagram shown, find the measures of angles 4, 5, and 6. m∠4 = degrees m∠5 = degrees m∠6 = degrees
A is the answer on edge
Answer:
d a c
Step-by-step explanation:
Solve Similar Triangles (advanced)
Solve for x!
PLEASE HELP!!
Answer:
13.5
Step-by-step explanation:
The two triangles are similar
According to the question
The equation is
⅔=11/x+3
2x+6=33
2x=27
x=13.5