An AC circuit operates at 60volts and 1000 Hz. The resistance is 500 ohms and the inductive reactance is 220 ohms. What is the current
The current flowing in the AC circuit is 0.11 A.
The given parameters:
Voltage in the circuit, V = 60 VResistance, R = 500 ohmsInductive reactance, Xl = 220 ohmsFrequency, f = 1000 HzThe impedance of the circuit is calculated as follows;
[tex]Z = \sqrt{R^2 + X_l^2} \\\\Z = \sqrt{500^2 + 220^2} \\\\Z = 546.26 \ ohms[/tex]
The current in the AC circuit is calculated as follows;
[tex]I = \frac{V}{Z} \\\\I = \frac{60}{546.26} \\\\I = 0.11 \ A[/tex]
Thus, the current flowing in the AC circuit is 0.11 A.
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Waluigi's Towing Service charges $38.51 for its hook-up fee plus $35.21 for every mile, m, they tow your car. The equation that models the total cost (T) is T(m) = 35.21m + 38.51. Which value in the equation represents the rate of change?
A .. The number of miles towed
B .. $38.51
C .. $35.21
D .. $73.72
Answer:
c 35.21
Step-by-step explanation:
rate of change is=to slope
in y=mx+b
m is slope(rate of change)
x the variable such as miles
b is y intercept
f(x)=3x-1 and g(x)=-2x+5
Answer:
Step-by-step explanation:
Ron wants to make money painting portraits of people at the local mall. The mall
charges Ron $22.00 a day for Ron to set up his materials to sell his portraits. He
charges $15.50 a portrait, but it costs him $3.25 in materials to make that portrait.
How much profit will Ron make from each portrait he paints (not including the daily
fee that the mall charges him)?
$12.00
$12.25
$12.50
$13.00
Answer:
$12.25
Step-by-step explanation:
$12.25
What does the transformation f(x)↦f(x+5)–1 do to the graph of f(x)?
Answer:
Every f(x) shall decrease to 5 times the previous value.
Fill in the blank f(x)=2x+1, then f(___)=13
Answer:
if f(x)=2x+1 then insert 6 in x
f(6)=2*6+1
f(6)=13
so the answer is 13
14 divided 4 and 7/8 written in simplest form
Answer:
7 and that is its simplest form
Step-by-step explanation:
thank me later
Answer:
4
Step-by-step explanation:
14 ÷ 4 = 3.5
3.5 and 7/8 = 4
What is the percent decrease from 95 to 68 round to the nearest percent
The decrease is (95-68) = 27 .
As a fraction, the decrease is 27/95 of the original amount.
To change any fraction to a decimal, do the division:
(27) divided by (95) = 0.2842...
To change any decimal to a percentage, move the
decimal point two places that ==> way:
0.2842... = 28.42... %Answer:
Step-by-step explanation:
[tex]\qquad[/tex]☀️ At first we need to find out the difference between 95 and 68.
[tex]\qquad[/tex][tex] \sf \longrightarrow 68 -95 \\[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow -27[/tex]
[tex]\qquad[/tex]☀️ Now, divide the number by "the starting number.
[tex]\qquad[/tex][tex] \sf \longrightarrow \dfrac{-27 }{97}[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow -0.2842[/tex]
[tex]\qquad[/tex]☀️ And finally, we have to multiply the result by 100 to get it in terms of percent.
[tex]\qquad[/tex][tex] \sf \longrightarrow -0.2842 \times 100[/tex]
[tex]\qquad[/tex][tex] \red{\bf \longrightarrow -28.42℅}[/tex]
Hence, The answer will be -28.42℅[tex]\qquad[/tex]_________________________
Really need help pls ty
Answer:
1: Yes, because 20 divided by 5 is 4, meaning that he would have 16 dollars left
2: They are at each exibit for 51 min
Hope this helps: :)
A movie theater is splitting
cups 30 of popcorn into 18
bags. How much popcorn
will each bag holde
Answer:
30/18=1 2/3 cups of popcorn in each bag
Hope This Helps!!!
Pedro had $14.90 in his wallet. He spent $1.25 on a drink. How much does he have left?
(a) Estimate the answer by rounding to the nearest whole numbers before subtracting.
(b) Find the difference. Show your work (steps).
(c) Check your answer. Is it reasonable? How do you know? Explain.
Pedro has $13.65 in his wallet left.
How to find money in Pedro's wallet?Pedro had $14.90 in his wallet.
He spent $1.25 on a drink.
How much does he have left: 14+90 - 1.25 = 13.65
Pedro has $13.65 in his wallet left.
The difference is $1.95.
Problem solving is the act of defining a problem; determining the cause of the problem; identifying, prioritizing, and selecting alternatives for a solution; and implementing a solution.
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On a number line, where would 2/10 be located? Choose all answers that make
a true statement.
X=
Y=
Find the values of X and Y
Answer:
Y=65
X= 50
Step-by-step explanation:
180-115=65
Y=65
65+65=130
180-130=50
X =50
How do you write 1.75 trillion, 1.75 quadrillion
Answer:
1) 1750000000000
2) 1750000000000000
Step-by-step explanation:
For definition of trillion and quadrillion.
What is the probability that a random sample of n=45 oil changes results in a sample mean time less than 20 minutes?
Step-by-step explanation:
https://youtu.be/wghLO8hQZrA
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HELPPPPPPPPLSSSSS FASTTTUTS A TEST
Hope you could get an idea from here.
Doubt clarification - use comment section.
Help help help math math help
x = 27
Step-by-step explanation:
The two angles shown are called co-exterior angles and by definition, their sum is equal to 180° so we can write
[tex](3x - 3) + (4x - 6) = 180[/tex]
[tex]\Rightarrow 7x - 9 = 180[/tex]
Simplifying this further, we get
[tex]7x = 189 \Rightarrow x = 27[/tex]
A price was decreased by 12%. Then it was increased by an additional 5%. What is the percent of the total decrease?
Answer:
7.6%
Step-by-step explanation:
First the decrease
(100-12)%=88%
then the increase
(88)(1.05)=92.4%
The total decrease
(100-92.4)% = 7.6%
Hope this helps
I NEED HELP PLEASE 15 POINTS
13) Given that m∠EFJ = 70°, find m∠KFG. A) 10° B) 20° C) 30° D) 40°
Answer:
20°
Step-by-step explanation:
∡EFJ = 70°
∡JFK = 90°
So, ∡KFG = 180 - ∡JFK - ∡EFJ = 180 - 90 - 70 = 20°
Answer:
60
Step-by-step explanation:
i put 30 then it said the answer was 60
how to fix my calculator please help meee i cuold not fix it plsss what to do
so, you must have some kind of device for you to make a question on brainly. if you are using your phone, there is probably an already installed calculater app on there. if you don't have one, go to app store or play store and download it. if you are using computer, simply search it. of course, you can also use your phone and just search it on the web.
Answer:
by a new one?????
Step-by-step explanation:
Christina says the graph for the inequality r < -5 will be the same as the graph for the inequality -5 > r. Do you agree or disagree? Justify your reasoning. (Explain) HELP ME
Answer:
you are in the 45 and 56 zone so yes
Step-by-step explanation:
End of semester geometry Semester A question 6
Select the correct answer.
Given:
Prove:
By the linear pair theorem, is supplementary to . Since , by the definition of congruence, . Applying the substitution property of equality, . Simplifying the equation, .
What step is missing from this proof?
A.
is supplementary to by the transitive property.
B.
by the definition of supplementary angles.
C.
by the definition of congruence.
D.
by the linear pair theorem.
Answer:
by the definition of congruence.
Step-by-step explanation:
for plato
I want a way to solve this question
Answer:
d
Step-by-step explanation:
Using the Cosine rule to find ∠ A
cosA = [tex]\frac{b^2+c^2-a^2}{2bc}[/tex]
= [tex]\frac{5.1^2+5.7^2-7.3^2}{2(5.1)(5.7)}[/tex]
= [tex]\frac{26.01+32.49-53.29}{58.14}[/tex]
= [tex]\frac{5.21}{58.14}[/tex] , then
∠ A = [tex]cos^{-1}[/tex] ( [tex]\frac{5.21}{58.14}[/tex] ) ≈ 84.9° ( to 1 dec. place )
Find the probability of selecting a 3 or 4 when a single die is rolled once
Answer:
1/3
Step-by-step explanation:
there are 6 sides to a die : 1, 2, 3, 4, 5, 6.
as one can interpret, 3 & 4 take up 2 parts of the 6 possible options
each result has equal oppurtunity to occur
so for 3 or 4 to be rolled, there is a 2/6 chance, or 1/3 when simplified
Simplify (x+2) (x+10) - (x-5) (x+4).find the numerical value of this expression when x=-3.
Simplify (x+2) (x+10) - (x-5) (x+4).find the numerical value of this expression when x=-3.
(x+2) (x+10) - (x-5) (x+4).put value of x= -3(-3+2) (-3+10) - (-3-5) (-3+4).-1 x 7 -(-8) x 1(-7) -(-8)-7+81Answer:
the result is -9
Hope this helps
Please mark brainlest
HELP
HOW AM I MEANT TO ANSWER THIS QUESTION I WOULD ASO LIKE ANSWER.
THX
100 points on the line
Answer:
x = 7 & y = 8
Step-by-step explanation:
We know that
Mean = Sum of terms/Total terms
=> Mean = 4 + 6 + x + y + 10/5
=> Mean = 20 + x + y/5
Now,
Median = (n + 1)/2
=> Median = (5 + 1)/2
=> Median = 6/3
=> Median = 3rd term = x
So,
x = 20 + x + y/5
x × 5 = 20 + x + y
5x = 20 + x + y
5x - x = 20 + y
4x = 20 + y
Since x and y are in order so,
Possible outcomes will be 7,8 & 9
(7,8) & (8,9) & (7,9)
Taking x = 7 and y = 8
4(7) = 20 + 8
28 = 28
Hence,
x = 7 and y = 8
Answer:
y=7 x=8
Step-by-step explanation: hope you do well in school
help me out guys!!!!!!!
Answer:
[tex] \frac{5 \sqrt{11} }{11} [/tex]
you are correct !!
If I have a 1/4 chance of winning a bet, but lose it 40 times in a row, what percentage chance is that?
List the pairs of congruent angles and the extended proportion that relates the corresponding sides for the similar polygons.
Answer:
<N=<T
<P=<Q
<O=<R
<M=<S
Step-by-step explanation:
they are in order since (N) is the first letter in one triangle then (T) has to be the corresponding angle.
In John's closet we find: 3 shirts (1 blue, 1 red, 1 black) 2 pairs of pants (1 blue, 1 black) 2 pairs of shoes (1 black, 1 blue) Create a sample space of the possible outcomes of clothes combinations that John might wear (assuming he always wears a shirt, pair of pants, and pair of shoes). What is the complement of the P(John wears something red).
Using it's concept, the sample space for the experiment is:
{Blue-Blue-Black, Blue-Blue-Blue, Blue-Black-Black, Blue-Black-Blue, Red-Blue-Black, Red-Blue-Blue, Red-Black-Black, Red-Black-Blue, Black-Blue-Black, Black-Blue-Blue, Black-Black-Black, Black-Black-Blue}The complement of P(John wears something red) is he wearing a Blue or Black shirt, along with any combination for the pants and the shoes.The sample space is the set that contains all possible outcomes for an experiment.
In this problem:
For the shirt, there are three possible outcomes: Blue, Red, Black.For the pants, there are two possible outcomes: Blue, Black.For the shoes, there are two possible outcomes: Black, BlueHence, considering the combinations, the sample space is, considering Shirt-Pants-Shoes:
{Blue-Blue-Black, Blue-Blue-Blue, Blue-Black-Black, Blue-Black-Blue, Red-Blue-Black, Red-Blue-Blue, Red-Black-Black, Red-Black-Blue, Black-Blue-Black, Black-Blue-Blue, Black-Black-Black, Black-Black-Blue}
The complement of P(John wears something red) is all outcomes in which he does not wear anything red, hence it is a Blue or Black shirt, along with any combination for the pants and the shoes.
You can learn more about sample space at https://brainly.com/question/25861936