The capacitance between two parallel plates of area s and separation of d is;
[tex]\rm Capacitance = \varepsilon _0\dfrac{s}{d}[/tex]
What is capacitance?Capacitance is the limitation of the body to store the electric charge. Every capacitor has its capacitance.
The typical parallel-plate capacitor consists of two metallic plates of area s, separated by the distance d.
The capacitance between two parallel plates of area s and separation of d is given by the following formula;
[tex]\rm Capacitance = \varepsilon _0\dfrac{s}{d}[/tex]
The capacitance of a parallel plate capacitor depends on the area of the plates s and their separation d.
According to Gauss's law, the electric field between the two plates is: Since the capacitance is defined by one can see that capacitance is: Thus you get the most capacitance when the plates are large and close together.
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4) What % of 60 is 12?
[tex]\bf \colorbox{black} {\bf {\textcolor{blue}{ }{ \bf { \textcolor{orange}{ }{ \bf{ \textcolor{cyan}{mathematics }}}}}}}[/tex]
12×60%=
[tex] \bf \textcolor{green}{ \underbrace{7.2}}[/tex]
xLasersx✨Answer:
20%
Step-by-step explanation:
100% = 60
?% = 12
[tex]\frac{12}{60}=\frac{x}{100} < ==cross\ multiply \\\\60x=1200 < ==divide\ both\ sides\ by\ 60\\\\/60 /60\\\\x = 20\% < ==final\ answer[/tex]
Therefore, 20% of 60 = 12
Check your answer:
20/100 = 0.2
0.2 * 60 = 12
Hope this helps!
Finding the Range
Find the range of the following set of numbers: 3, 16, 4,
17, 42, 12, 12, 16, 92, 14, 5.
After you find the range, explain how you came to that
calculation in the box below.
Answer:
89
Step-by-step explanation:
92 - 3 =89
subtract smallest from largest
The circumference of a circle is 43.96 yards. What is the circle's radius?
Answer:
Step-by-step explanation:
Radius = circumference / 2π
= 43.96 / 2π
= 7.00 yards to the nearest hundredth.
Write down one prime number that lies between each of the following pairs of numbers: a) 45 and 55 b) 62 and 72
==============================================
Remember, prime numbers have only 2 factors: 1 & themselves.
For example, 5 is a prime number because it's only divisible by 1 and 5 (itself)
Now, write down some primes.
1) between 45 and 55
- 47
- it's only divisible by 1 and itself, so it IS prime
2) 62 and 72
67, because it is divisible by 1 and itself only.
====================================================
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)
Entre los números -4 y 0 cuál es menor
Answer:
el menor es -4 :) porque entre más izquierda esté el número en la recta menor es (ejemplo en la foto). negativos siempre son menor que positivos :D
The ratio of the number of dolls Jacky had to the number of dolls Peter had was 5:2 but, after Jacky gave 15 dolls to Peter, they have an equal number of dolls. How many dolls did they have altogether?
Answer:
70 dolls
Step-by-step explanation:
Hello!
The ratio is 5:2, which are division of a whole. They can be represented as 5x and 2x.
Jacky has 5x dolls, and Peter has 2x dolls. They were equal after subtracting 15 dolls from 5x and adding them to 2x.
Equation:
5x - 15 = 2x + 15Solve:
5x - 15 = 2x + 155x - 30 = 2x5x = 2x + 303x = 30x = 10So Jacky has 5(10) dolls, or 50 dolls, and Peter has 2(10) or 20 dolls.
The total sum is 70 dolls.
what is the slope of the line on the graph need answer ASAP please thank you I'm in k-12
Solve 12x + 6 > 9x+ 12.
O A. x26
O B. X22
x2
O c. xs 2
O D. x56
Is (-4, -1) a solution to this system of equations?
y = 5/2x + 9
y = 1/2x + 1
Yes or no
Answer:
yes(only if the x is being multiplied to 5/2 and 1/2 respectively. If its a part of the denominator, then no)
Step-by-step explanation:
100 point to the first correct answer
Given the discrete random variable X: What is the probability distribution of X if X ~B(2, 5/17)?
Answer:
X ~ B(n, p)
Given: X ~ B(2, 5/17)
⇒ n = 2
⇒ p = 5/17
Binomial distribution formula:
[tex]\sf P(X = x) = nC_x (1-p)^{(n-x)}p^x[/tex]
As n = 2, calculate P(X = 0), P(X = 1) and P(X = 2):
[tex]\sf P(X = 0) = 2C0 (\frac{12}{17})^{(2-0)}(\frac{5}{17})^0=\dfrac{144}{289}}[/tex]
[tex]\sf P(X = 1) = 2C1 (\frac{12}{17})^{(2-1)}(\frac{5}{17})^1=\dfrac{120}{289}}[/tex]
[tex]\sf P(X = 2) = 2C2 (\frac{12}{17})^{(2-2)}(\frac{5}{17})^2=\dfrac{25}{289}}[/tex]
**Probability Distribution Table attached**
Use the Distributive Property to simplify the following expression. a: 4(x+2) b; -5(9+x) c: 7(x-3)
Type down when answering how you got the answers
=======================================================
The Distributive Property states the following:-
[tex]\longrightarrow\sf{a(b+c)=ab+ac[/tex]
Where
[tex]\longrightarrow\sf{a,~b,~and~c~can~be~either~constants~or~variables}[/tex]
Now, let's use this property to simplify our expressions.
The first one is
[tex]\bigstar{\underline{\boxed{{4(x+2)}}}[/tex]
Simplify by distributing 4:-
[tex]\longrightarrow\sf{4~times~x~+4~times~2}[/tex]
Add the products:-
[tex]\longrightarrow\sf{4x+8}[/tex]
[tex]\rule{250}{2}[/tex]
Solve the next one:-
[tex]\bigstar{\underline{\boxed{\sf{-5(9+x)}}}[/tex]
Distribute -5 & add the products:-
[tex]\longrightarrow\sf{-45-5x}[/tex]
[tex]\rule{250}{2}[/tex]
Solve the last one:-
[tex]\bigstar{\underline{\boxed{7(x-3)}}[/tex]
Distribute 7:-
[tex]\longrightarrow\sf{7x-21}[/tex]
======================================================
note:-Hope everything is clear; if you need any more explanation/clarification, kindly let me know, and I'll comment and/or edit my answer :)
please slove
10^3⋅10^4/10^5
Answer:
100
Step-by-step explanation:
10^3= 10x10x10= 1000
10^4= 10x10x10x10= 10000
10^5= 10x10x10x10x10= 100000
( the quickest way to sove this is by add 0 behind the one, whatever the exponent is, thats how many zeroes there abre going to be.
ex: 10^3 theres 3 exponents so theres going to be 3 zeroes behind the one
step 2 solve
1000x10000/100000= 100
Answer:
10^2
Step-by-step explanation:
10^3⋅10^4/10^5
add the exponents when multiplying
10^7/10^5
subtract the exponents when dividing
10^2
Brainliest available
Simplify
Answer:
8x^3y^3
Step-by-step explanation:
Thats the answer but the ones with the symbol are up
To simplify this, we must simply power every component within the parentheses by 3
[tex](2xy)^3=2^3*x^3*y^3 = 8x^3y^3[/tex]
Hope that helps!
Use numerals instead of words. If necessary, use / for the fraction bar(s).
The measure of angle 0 is 7 pie/4. The measure of its reference angle Is _°, and tan 0 is _
Answer:
-1
Step-by-step explanation:
angle 0: 7pie/4
=7*180/4
=1260/4
=315
hence reference angle(0)= 315
now, tan 0 = tan315
= tan(360-45)
= -tan45
= -1
CO
1 If the area of a rectangle is 306 square centimeters (cm”) and one dimension is 6
centimeters, what is the measurement of the other dimension? Use labeled sketches
and equations to model and solve this problem.
The other dimension is the width of the rectangle
The other dimension is 51 centimeters
How to determine the length of the other dimension?The given parameters are:
Area = 306 square centimeters
Length = 6 centimeters
The area of the rectangle is calculated as:
Area = Length * Width
This gives
306 = 6 * Width
Divide both sides by 6
51 = Width
Hence, the other dimension is 51 centimeters
Read more about areas at:
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Evaluate each expression.
a. 1/2(5+13)-4.5
b.(5+11)-(24-15)•(3)
c.6²+3•7-9÷3
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♫[/tex]
Let's solve ~
Expression 1[tex]\qquad \sf \dashrightarrow \: \frac{1}{2} (5 + 13) - 4.5[/tex]
[tex]\qquad \sf \dashrightarrow \: \frac{1}{2} (18) - 4.5[/tex]
[tex]\qquad \sf \dashrightarrow \: 9 - 4.5[/tex]
[tex]\qquad \sf \dashrightarrow \:4.5[/tex]
Expression 2[tex]\qquad \sf \dashrightarrow \:(5 + 11) - (24 - 15) \times 3[/tex]
[tex]\qquad \sf \dashrightarrow \:16 - (9 \times 3)[/tex]
[tex]\qquad \sf \dashrightarrow \:16 - 27[/tex]
[tex]\qquad \sf \dashrightarrow \: - 11[/tex]
Expression 3[tex]\qquad \sf \dashrightarrow \: {6}^{2} + (3 \times 7) - (9 \div 3)[/tex]
[tex]\qquad \sf \dashrightarrow \:36 + 21 - 3[/tex]
[tex]\qquad \sf \dashrightarrow \:57 - 3[/tex]
[tex]\qquad \sf \dashrightarrow \:54[/tex]
Area = 120 units squared
Base = 8 units
Length = ? (Include the units in your answer)
Answer:
15
Step-by-step explanation:
Okay, so we know that Base*Length=Area, so we just have to divide the area by the base, so the formula here is Area/Base=Length.
That would get us 120/8=Length,
and if we just divide 120 by 8 we get 15, so the length is 15
Find the sixth term of the geometric sequence when a4=−8 and r=0.5
A. 4
B. 2
C. -4
D. -2
Answer:
D
Step-by-step explanation:
to find a term in the sequence multiply the previous term by r , then
a₄ = - 8 , so
a₅ = - 8 × 0.5 = - 4
a₆ = - 4 × 0.5 = - 2
The sixth term of the sequence will be negative 2. Then the correct option is D.
What is a geometric sequence?Let a₁ be the first term and r be the common ratio.
Then the nth term of the geometric sequence is given as,
aₙ = a₁ · (r)ⁿ⁻¹
The fourth term (a₄) is negative 8 and the common ratio is 0.5.
Then the sixth term will be
For n = 5, we have
a₅ = a₁ · (r)⁵⁻¹
a₅ = a₁ · (r)⁴
a₅ = a₁ · r³ · r
a₅ = a₄ · r
a₅ = -8 · 0.5
a₅ = -4
Then the sixth term of the sequence will be
a₆ = a₁ · (r)⁶⁻¹
a₆ = a₁ · (r)⁵
a₆ = a₁ · r⁴ · r
a₆ = a₅ · r
a₆ = -4 · 0.5
a₆ = -2
The sixth term of the sequence will be negative 2.
Then the correct option is D.
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What does n equal? Please help!
Answer:
x=0
Step-by-step explanation:
because you divide by x^12
x^n=x^0
x=0
Rewrite without absolute value for the given condition: y=|x−3|+|x+2|−|x−5|, if 3 < x < 5
Answer:
x>3 but x<5 so x=4
4-3=1
+
4+2=6
-
4-5=-1
but |-1|=1
so
1+6-1=6
Explain why 10 to the zero power equals 1
Answer:
Because any number to the power of zero will be one.
how to multiply and divide decimals with whole numbers
Write the first 8 triangular numbers
Answer:
1, 3, 6, 10, 15, 21, 28, 36. Notice that the first 2 terms are odd, followed by another 2 even terms, and then another 2 odd terms, before 2 even terms again.
hello, please answer the question, please show work
Express 6 m as a percentage of 16 m.
Answer:
37.5%
Step-by-step explanation:
the percentage is calculated as a fraction of the quantities multiplied by 100% , that is
[tex]\frac{6}{16}[/tex] × 100% = 0.375 × 100% = 37.5%
Answer:
37.5%
Step-by-step explanation:
6/16×100
37.5%
brainiest please
Find the perimeter and area of a regular hexagon with side lengths of 8 and an apothem of 9.
The perimeter and area of a regular hexagon with side length of 8 and apothem of 9 are 48 units and 216 units² respectively.
What is a regular hexagon?A regular hexagon is a polygon with 6 sides and the angles are congruent.
The perimeter of the hexagon is the sum of the whole sides. Therefore,
side length = 8 units
apothem = 9 units
perimeter = 8 × 6 = 48 cm
The area of the hexagon can be calculated as follows:
area = 1 / 2 pa
where
p =perimeter
a = apothem
Therefore,
area = 1 / 2 × 48 × 9
area = 432 / 2
area = 216 units²
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Carter is considering two different jobs. Job A has a starting bonus of $300 and pays $12.50 an hour Job B has starting a bonus and pay that are represented by the equation
y=10z + 400, where y is the total amount earned and I is the number of hours worked Select all statements that are true
Job B has a larger starting bonus than Job A.
Job A pays more per hour than Job B.
Job A has a larger starting bonus than Job B.
Job B pays more per hour than Job A.
Answer:
Step-by-step explanation:
Job B has a larger starting bonus than Job A: true,
Job B pays 400, A pays 300.
Job A pays more per hour than Job B: true,
Job A pays 12.50 per hour, Job B pays 10 per hour.
The left and right y-axes are in opposite directions because:.
Can someone please help me with this?
Answer:
50
Step-by-step explanation:
If we divide the shape we can get 3 x 10 with equals 30. Then take the remaining which is 2 x 10 and we get 20. Add the two to get 50. The area is 50sq miles.
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help on this please.