Hi! Please help me!
Lightbulbs act as resistors. Janine is building a circuit that contains two lightbulbs in parallel. One of the lightbulbs has a
resistance of 120 ohms, but the resistance of the second lightbulb is unknown. She models the total
resistance in the
circuit, t, with this equation, in which r represents the resistance of the second lightbulb.
t =
1207
+ 120
Find the inverse of Janine's equation.
Look at photo below
Thank you have a nice day:)
Answers
Answer:
The answer is t^-1 (r)=120r/120-r
i hope this is right sry if im wrong have a good day :)
The inverse of Janine's equation is [tex]r = \frac{120t}{120-t}[/tex] .
What is resistance?Resistance is a measure of the opposition to current flow in an electrical circuit. Resistance is measured in ohms, symbolized by the Greek letter omega (Ω).
According to the question
Janine is building a circuit that contains two lightbulbs in parallel.
One of the lightbulbs has a resistance of 120 ohms.
R = 120ohms
r = resistance of the second lightbulb
t = total resistance in the circuit
[tex]t = \frac{120r}{r+120}[/tex]
Now,
The inverse of Janine's equation in which we will make r independent
[tex]t = \frac{120r}{r+120}[/tex]
[tex]t(r+120) = 120r[/tex]
[tex]tr + 120t = 120r[/tex]
[tex]120t = 120r - tr[/tex]
[tex]120t = r(120-t)[/tex]
[tex]r = \frac{120t}{120-t}[/tex]
Hence, the inverse of Janine's equation is [tex]r = \frac{120t}{120-t}[/tex] .
To know more about resistance here:
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In this exercise we have to use the combination knowledge to calculate the different possibilities, so we have to:
5184000 possible ways
in this way, when we deal with possibilities it is the same as talking about multiplication, so we have that:
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Hannah's math teacher finds that there's roughly a linear relationship between the amount of time students spend on their homework and their weekly quiz scores. This relationship can be represented by the equation y=7.1x+55 where y represents the expected quiz score and x represents hours spent on homework that week. What is the meaning of the yy-value when x=1?
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Answer:
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Step-by-step explanation:
ABC is an isosceles right triangle in which has a slope of -1 and mABC = 90°. ABC is dilated by a scale factor of 1. 8 with the origin as the center of dilation, resulting in the image A'B'C'. What is the slope of ?.
Answers
The slope of B'C' is 1 and it can be determined by using formula of scale factor.
Given that,
ABC is an isosceles right triangle in which has a slope of -1 and m ∠ABC = 90°.
ABC is dilated by a scale factor of 1. 8 with the origin as the center of dilation, resulting in the image A'B'C'.
We have to determine,
What is the slope of B'C'?
According to the question,
ABC is an isosceles right triangle in which,
Slope of AB = -1
And AB is perpendicular to BC.
When the two lines are perpendicular to each other then,
[tex]\rm The \ slope\ of\ AB \times Slope\ of \ BC = -1\\\\-1 \times Slope\ of \ BC = -1\\\\ Slope\ of \ BC = 1\\[/tex]
ABC is dilated by a scale factor of 1. 8 with the origin as the center of dilation, resulting in the image A'B'C'.
Length of Line segment A'B'= 1.8 × AB
So, the slope of the two-line Segment that is AB and A'B' are the same.
Slope of A'B'= -1
Length of Line segment C'B'= 1.8 × CB
So, the slope of the two lines that is CB and C'B' are the same.
The slope of B'C' is 1.
Hence, The required slope of B'C' is 1.
For more details Slope refer to the link given below.
https://brainly.com/question/8102490
Answer:
Slope of 1
Step-by-step explanation:
C. 1
The area of a rectangular patio is 21
1
8
square meters. The width of the patio is 3
1
4
meters. What is the length? Enter your answer as a mixed number in simplest form.
The length of the patio is meters.
Answers
Answer:
6 1/2
Step-by-step explanation:
21 1/8 divided by 3 1/4
Put into improper fractions
169 / 8 divided by 13 / 4
Multiply by the reciprocal
169 / 8 x 4 / 13
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Please I need help asap
Answers
Answer:5/5 then 10-7 then 6/2
Step-by-sanation:
The price of an item yesterday was $140 Today, the price rose to $322 Find the percentage increase.
Answers
Answer:
130% increase
Step-by-step explanation:
(322-140)/140(100)=130% increase.
(you set the final price on top, and original price in the denominator, and x/100 is the rate of increase)
cross multiply, and you get 130%.
Need help please. High school Geometry
Answers
Answer: last one
Step-by-step explanation:
1. How many small squares are in Step 10?
Image below
A. 10
B. 11
C. 90
D. 110
Answers
Answer:
110 squares
Step-by-step explanation:
= 10 x 11
= 110 small squares.
From the question,
Step one : • • = 1(2) small squares
Step two : • • • = 3 squares in two layers = 2(3) = 6 small squares
• • •
Step three : • • • • = 4 squares in 3 layers = 3(4) = 12 small squares
• • • •
• • • •
Martha fue a una tienda de dulces a granel y compró 150 gramos de caramelos a $10.29 por cada 100 gramos y 220 gramos de chispas a $21.29 por cada 100 gramos. ¿Cuánto dinero gastó en total?
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Answer:
62.273
Step-by-step explanation:
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A positive change simply means that there is more inventory the following day while a negative change means that there is less inventory the following day.
What is an inventory?An inventory or stock simply means the goods that a business can hold in order to sell or use for its production purpose.
A positive inventory simply means that the company has phones that have not yet been sold. On the other hand, a negative inventory means that the inventory count is below zero.
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Each unit in the coordinate plane corresponds to 1 mile. Find the distance from the stadium to Pine Avenue. Round your answer to the nearest tenth.
The distance is about
miles.
Answers
The distance from the stadium to Pine Avenue is [tex]13.4miles[/tex], (to the nearest tenth)
The stadium is on Hazel Street(the green line). Pine Avenue is the blue line. The distance from the stadium to Pine Avenue will be the distance on the graph (in miles) from the point representing the stadium, to the point of intersection between Hazel Street and Pine Avenue.
We know the location of the stadium, [tex]S=(-6,6)[/tex]
The point of intersection can be obtained by solving the simultaneous equations
[tex]y=-\dfrac{1}{2}x+3\\y=2x-12[/tex]
since both equations are set equal to [tex]y[/tex], set them equal to each other, to eliminate [tex]y[/tex], and solve for [tex]x[/tex]
[tex]-\dfrac{1}{2}x+3=2x-12\\\\x=6[/tex]
Substitute this value of [tex]x[/tex], into the equation for Pine avenue
[tex]y-2x-12\\=2(6)-12\\=0[/tex]
The point of intersection between Hazel Street and Pine Avenue is [tex]I=(x,y)=(6,0)[/tex]
To compute the distance between the stadium and Pine Avenue, we find the distance between the two points [tex]S[/tex] and [tex]I[/tex]. So,
[tex]d=\sqrt{(6-(-6))^2+(0-6)^2}\\\\=\sqrt{12^2+(-6)^2}\\\\=6\sqrt5\approx13.4\text{ (to the nearest tenth)}[/tex]
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Answers
Let's see
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Answers
Answer:
percent of change =0.5
Step-by-step explanation:
x1=46 x2=69
(x2-x1) / x1
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Step-by-step explanation:
Write an algebraic expression that models the word phrase.
the sum of the product of a number x and 6, and 2
Choose the correct answer below.
O A. 12 + x
OB. 6x + 2
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Answers
Answer:
B: 6x+2
Step-by-step explanation:
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Answer:
y = -1/2x + 7
Step-by-step explanation:
3x + 6y = 42. Put everything except the y term on the right hand side, so subtract 3x from both sides.
6y = -3x + 42. You want 1y by itself, so divide everything by 6.
y = -1/2x + 7
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Answer:
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Step-by-step explanation:
So, if you add 9 +4 = 13. 13 x 3 = 39.
3 times 9 = 27
Hope this helped! Pls mark me brainliest!
Answer:
27 children
Step-by-step explanation:
9+4=13
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Answers
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Answer:
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#Carryonlearning
hi can you help me ?
solve the equation by the method of vision:
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this will be the answer
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Step-by-step explanation:
René Descartes was one of the key figures in the Scientific Revolution of the 17th Century.
Is squirrel?
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Answers
Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation: