The charge of the electrons is [tex]8.02 \times 10^{-19} \ C[/tex].
The given parameters:
Number of revolution of the electron, N = 1.4 x 10⁶ rev per secFlux density, B = 10⁻⁵ TMass of electron, m = 9.11 x 10⁻³¹ kgThe angular speed of the electron is calculated as follows;
[tex]\omega = 2\pi N\\\\\omega = 2\pi \ \frac{rad}{1 \ rev} \times 1.4 \times 10^6 \ rev/s\\\\\omega = 8.798 \times 10^6 \ rad/s[/tex]
The charge of the electrons is calculated as follows;
[tex]F_c= m\omega ^2 r\\\\F_{B}= qvB = q\omega r B \\\\F_c = F_B\\\\m\omega ^2 r = q\omega r B \\\\q = \frac{m\omega ^2 r}{\omega r B} \\\\q = \frac{m \omega }{B} \\\\q = \frac{9.11 \times 10^{-31} \times 8.798 \times 10^6}{10^{-5}} \\\\q = 8.02 \times 10^{-19} \ C[/tex]
The charge of the electrons is [tex]8.02 \times 10^{-19} \ C[/tex].
The complete question here:
Electrons execute 1.4*10^6 revolutions per sec in a magnetic field of flux density 10⁻⁵ T. What will be the value of charge of the electron?
Learn more about magnetic force of electrons here: https://brainly.com/question/3990732
Need help again first answer gets brainliest
Answer:
vertical angles are supplementary
Answer:
C. Vertical angles are congruentStep-by-step explanation:
Angles 1 and 4 are vertical angles.
According to definition of vertical angles, they are congruent.
Correct choice is C
A student received scores of 85 and 78 on the first two exams. All exams have a maximum score of 100. What are the possible scores the student could receive on the third exam so that the average of the three exams is at least 80Write your answer in interval notation
Based on the information given, the student should score at least 77 in the last exam.
Since the student wants to get an average of at least 80. Therefore, the total scores should be:
= 80 × 3 = 240
The student received scores of 85 and 78 on the first two exams. The addition of this will be:
= 85 + 78 = 163
Therefore, his score in the last exam should be:
= 240 - 163
= 77
Learn more about equations on:
https://brainly.com/question/25678139
PLEASE HELP WILL MARK BRAINIEST!!!!!
Answer:
c. copy an angle.
there's no angle in this as far as I can see.
An urn contains three red balls and four blue balls. Draw two balls at random from the urn, without replacement. Compute the expected number of red balls in your sample. (Round your answer to four decimal places.)
Step-by-step explanation:
in total we have 3+4 = 7 balls.
when we draw the first ball, the probability to draw a red ball is 3/7, and a blue ball 4/7.
when we draw the second ball, we have now only 6 balls in total.
the probabilty to draw a red back now depends also on the result of the first draw.
if the first ball was already red, then we have only a chance now of 2 out of 6.
if the first ball was blue, then we have now a chance of 3 out of 6.
so, the probably to draw at least 1 red ball in 2 draws is the probability of drawing one on the first draw plus the probability of drawing one on the second :
1 - probability to see 2 blue balls
1 - 4/7 × 3/6 = 1 - 12/42 = 30/42 = 0.714285714...
the expected number of red balls in 2 draws is
1 red in first red in first red in second
but not second and second but not first
1×(3/7 × 4/6) + 2×(3/7 × 2/6) + 1×(4/7 × 3/6) = 12/42 + 12/42 + 12/42 = 36/42 = 6/7 = 0.857142857 ≈ 0.8571
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ol
Figure B is a scale image of Figure A, as shown.
2.5
Figure A
Figure B
Enter the scale factor applied to Figure A to produce Figure B.
Enter your answer as a fraction, like this. 42/53
Answer:
scale factor = [tex]\frac{14}{5}[/tex]
Step-by-step explanation:
The scale factor is the ratio of corresponding sides, image to original.
scale factor = [tex]\frac{7}{2.5}[/tex] = [tex]\frac{7(2)}{2.5(2)}[/tex] = [tex]\frac{14}{5}[/tex]
Solve for the unknown values.
95x
50y
X=
degrees
y =
degrees
Answer:
x=85 degrees, y=45 degrees
Step-by-step explanation:
solve for x first:
because there is a straight line (meaning that the angle is 180 degrees), the sum of x and 95 must be 180.
x+95=180 so solving for x would result in x=85 degrees (180-95)
then to solve for y:
the total sum of the interior angles of a triangle is 180 degrees.
so if you know x and the given 50, then to solve for y:
50+85(angle x)+y=180
then solve for y to get 45 degrees (180-(50+85))
pls help me
I m giving brainliest
Step-by-step explanation:
the general line equation format is
y = ax + b
a is the slope or gradient of the line. it is the ratio of "y coordinate change / x coordinate change".
b is the y-intercept, the y value when x = 0. we get this by putting one point into the equation and solve for b.
(i)
A (3, 5)
B (5, 9)
x changes by +2 (from 3 to 5).
y changes by +4 (from 5 to 9).
so, the slope (or gradient) is +4/+2 = 2
(ii)
the semi-finished equation is
y = 2x + b
let's use A to get b :
5 = 2×3 + b = 6 + b
b = -1
and the full equation is
y = 2x - 1
(iii)
for point (4, k) we get
k = 2×4 - 1 = 8 - 1 = 7
Help
Geometry 1
Find z
Answer:
8
Step-by-step explanation:
The triangles are the same, except one is dilated.
So the hypotenuse of one is 5, and the other is 10. The triangle is dilated to double the other's size. so 4*2 = 8
I have no idea what i just wrote, but the answer is correct.
Question 14 of 25
Does this graph show a function? Explain how you know.
O A. No; the graph fails the vertical line test.
O B. No, there are y-values that have more than one x-value.
C. Yes; the graph passes the vertical line test.
O D. Yes, there are no y-values that have more than one x-value.
Using the function concept, it is found that the correct option is:
C. Yes; the graph passes the vertical line test.In a function, one value of the input can be related to only one value of the output. In a graph, it means that for each value of x(horizontal axis), there can only be one respective value of y(vertical axis). If it happens, it means that the graph passes the vertical line test.In this graph, for each value of x, there is only one value of y, hence it passes the vertical line test, and option C is correct.
You can learn more about the function concept at https://brainly.com/question/12463448
Which number comes next in the series? 7, 10, 10, 13, 16, 16,
Answer:
19
Step-by-step explanation:
In the first number, they add three and that number is repeated.
To further explain, the series would continue like this:
7, 10, 10, 13, 16, 16, 19, 22, 22...
Hope this helps! Brainliest would be appreciated!
QUESTION 17 PLEASE HELP ME ASAPP
Hey there!
• If it CHANGES it means your temperature/time changes a bit overtime
• If it CONSTANT your temperature/time remains the same
So, basically to this question it was INCREASED then it was DECREASED
Therefore, your answer is: “Option A. “
Because it didn’t stay same
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Which equation best matches the graph shown below?
Answer:
B
Step-by-step explanation:
because it is actually move to right
Answer:
y= -3(x+1)(x+3)
Step-by-step explanation:
the lowest coordinate of it is -3 and the x-coordinates are 1 and 3
Suppose log7(10) = a and log7( 5) = b. Use the change-of-base formula along with properties of
logarithms to rewrite each expression in terms of a and b.
Step-by-step explanation:
log 10/log7=a
log10=alog7
log10=log7^a
10=7^a
log 5/log7=b
log5=blog7
log5=log7^b
5=7^b
a person pays a loan of Rs. 3900 in monthly installments each in installment being less than the former by Rs. 20 ,the amount of first is Rs.400 in how many installment will entire amount be paid ? give reason
Answer:
15 installments
Step-by-step explanation:
3900 = Σ [tex]\left \ {{x=n} \atop {x=1}} \right.[/tex] 400 - 20*(n - 1)
Which sequence follows the pattern add 5, subtract 3?
A. 5,3,5,3,5,3,5
B. 6,3,8,5,10,7
C. 0,5,8,13,16,21,24
D. 12,8,6,4,20
What is the vertex of the absolute value function below?
(will give brainliest)!!!
(–3, –2)
(–3, 2)
(2, –3)
(2, 3)
Answer:
(-3,2)
Step-by-step explanation:
Go where the two coordinates match, you'll see that it's (-3,2).
I see that that's Edge2021, I know how that feels. :/
Hope this helped! :)
Answer:
(-3, 2)
Step-by-step explanation:
Please help for brainliest!!:)
Answer:
d)
Step-by-step explanation:
we know, that i = sqrt(-1)
so, i² = -1
i³ = -i
i⁴ = -i × i = - -1 = 1
i⁵ = i⁴×I = 1×i = i
and the cycle begins again for any higher exponents.
so, we find out what i^n is, by dividing n by 4 and look at the remainder.
remainder = 0, i^n = 1
remainder = 1, i^n = i
remainder = 2, i^n = -1
remainder = 3, i^n = -i
so, what is 139 in this regard ?
139 ÷ 4 = 34
remainder 3
so, i¹³⁹ = -i
a) 322 ÷ 4 = 80
remainder 2. not equivalent.
b) 304 ÷ 4 = 76
remainder 0. not equivalent.
c) 221 ÷ 4 = 55
remainder 1. not equivalent.
d) 239 ÷ 4 = 59
remainder 3. this IS equivalent.
The base of a triangle is 4 ft more than the height. If the area is 30ft2, find the base and the height.
Answer:
Base = 10 ft. and the height = 6.
Step-by-step explanation:
Area of triangle = 1/2bh
base is 4 + h ⇔ base = 4 + h
height = h
Using the formula for the area of triangle substitute into the formula the given facts.
A = 1/2bh
30 = 1/2(4 + h) (h)
30 = 1/2(4h + h²) Multiply both sides by 2
60 = 4h + h²
-60 = -60 Add -60 to both sides
0 = h²+ 4h -60
(h + 10)(h - 6) = 0 Factor
h + 10 = 0 h - 6 =0
h = -10 h = 6
reject any negative number and use the positive answer for h.
So h = 6 and the base = 4 + 6 ; base = 10
Choose the symbol that correctly compares these mixed numbers.
Answer : =
Step - by - step explanation :
6 3/6 -- simplest form --> 6 1/2
6 6/12 -- simplest form --> 6 1/2
Is the point (-2,5) a solution to the inequality y is greater than or equal to 5x+ 7
Answer:
Yes, it is a possible solution for Y >/= 5x+7
Step-by-step explanation:
You plug in the values (x,y) ie (-2,5):
5(-2)+7=-3
-3<5 so -3 is less than 5.
Thus, Y is greater than 5x+7 at (-2,5).
The perimeter of a rectangle is 18.6 km, and its area is 14.6 km“.
Find its length and width.
Answer:
2 and 7.3
Step-by-step explanation:
[tex]P=2x+2y=18.6[/tex]
[tex]2x=18.6-2y\\x=9.3-y[/tex]
We'll replace x with (9.3-y)
[tex]A=x\cdot y=14.6\\(9.3-y)\cdot y=14.6\\-y^2+9.3y=14.6\\ \\y^2-9.3+14.6=0[/tex]
Now we solve this equation by sum and product:
[tex]S=9.3\\P=14.6\\y=2\ or \ y=7.3[/tex]
Replacing back in the Perimeter equation:
[tex]2x+2y=18.6[/tex]
if y=7.3
[tex]2x+2\cdot7.3=18.6\\2x+14.6=18.6\\2x=4\\x=2[/tex]
if y=2
[tex]2x+2\cdot2=18.6\\2x+4=18.6\\2x=14.6\\x=7.3[/tex]
So, the dimensions are 2 and 7.3 km
3/2 x 4/3 x 5/4… x 2006/2005
Answer:
1003
Step-by-step explanation:
The problem is a classic example of a telescoping series of products, a series in which each term is represented in a certain form such that the multiplication of most of the terms results in a massive cancelation of subsequent terms within the numerators and denominators of the series.
The simplest form of a telescoping product[tex]a_{k} \ = \ \displaystyle\frac{t_{k}}{t_{k+1}}[/tex], in which the products of n terms is
[tex]a_{1} \ \times \ a_{2} \ \times \ a_{3} \ \times \ \cdots \times \ a_{n-1} \ \times \ a_{n} \ = \ \displaystyle\frac{t_{1}}{t_{2}} \ \times \ \displaystyle\frac{t_{2}}{t_{3}} \ \times \ \displaystyle\frac{t_{3}}{t_{4}} \ \times \ \cdots \ \times \ \displaystyle\frac{t_{n-1}}{t_{n}} \ \times \ \displaystyle\frac{t_{n}}{t_{n+1}} \\ \\ \-\hspace{5.55cm} = \ \displaystyle\frac{t_{1}}{t_{n+1}}.[/tex].
In this particular case, [tex]t_{1} \ = \ 2[/tex] , [tex]t_{2} \ = \ 3[/tex], [tex]t_{3} \ = \ 4[/tex], ..... , in which each term follows a recursive formula of [tex]t_{n+1} \ = \ t_{n} \ + \ 1[/tex]. Therefore,
[tex]\displaystyle\frac{t_{2}}{t_{1}} \times \displaystyle\frac{t_{3}}{t_{2}} \times \displaystyle\frac{t_{4}}{t_{3}} \times \cdots \times \displaystyle\frac{t_{n}}{t_{n-1}} \times \displaystyle\frac{t_{n+1}}{t_{n}} \ = \ \displaystyle\frac{3}{2} \times \displaystyle\frac{4}{3} \times \displaystyle\frac{5}{4} \times \cdots \times \displaystyle\frac{2005}{2004} \times \displaystyle\frac{2006}{2005} \\ \\ \-\hspace{5.95cm} = \ \displaystyle\frac{2006}{2} \\ \\ \-\hspace{5.95cm} = 1003[/tex]
What fraction is equivalent to 4/3?
HELLLPPPPPPP! PLZZZZ DUE TODAYYYY!
Answer:
it is the first one
Step-by-step explanation:
At the airport, each piece of luggage to be checked in must not weigh more than 50
pounds.
Use w to represent the weight (in pounds) of a piece of luggage that can be checked in.
Answer:
w [tex]\leq[/tex] 50
Step-by-step explanation:
Find the inverse of the matrix A=
[4 -5]
[-7 9]
Answer:
hope this answer is right 71/45
If you had a choice between playing golf or going to the movies and you chose to go to the movies, what is the opportunity cost of your decision.
The potential gain that could have come with golfing
Step-by-step explanation:
Opportunity cost is the loss of something you could have gotten from the choice you didn't go with. so I'm this case, the opportunity cost of chosing the movies is what you missed out on by not going golfing.
Kelly is nine years older than her sister. Kelly's age is one more than twice her sisters age. What is Kelly's age?
Answer:
17 years old
I hope this helps
I think it might be right
sorry if it is wrong
PLS HELP ME WITH GEOMETRY :0000
Answer:
GM = 18
Step-by-step explanation:
HJK is congruent to HKL (RHS congruency)
so, JK = KL
JK = 2
GHJ is congruent to MHL (SAS congruency)
so, GJ = LM
LM = 7
GM = 7 + 2 + 2 + 7 = 18
One month Chris rented 7 movies and 9 video games for a total of $71. The next month he rented 5 movies and 3 video games for a total of $31. Find the rental cost for each movie and each video game.