Answer:
The voltage at the middle source is [tex](2-4\mathbf{i})\ V[/tex]
Step-by-step explanation:
Voltage Sources in Series
When two or more voltage sources are connected in series, the total voltage is the sum of the individual voltages of each source.
The figure shown has three voltage sources of values:
[tex]2 + 6\mathbf{i}[/tex]
[tex]a + b\mathbf{i}[/tex]
[tex]2 - 5\mathbf{i}[/tex]
The sum of these voltages is:
[tex]V_t=4+a+(6+b-5)\mathbf{i}[/tex]
Operating:
[tex]V_t=4+a+(1+b)\mathbf{i}[/tex]
We know the total voltage is [tex]6-3\mathbf{i}[/tex], thus:
[tex]4+a+(1+b)\mathbf{i}=6-3\mathbf{i}[/tex]
Equating the real parts and the imaginary parts independently:
4+a=6
1+b=-3
Solving each equation:
a = 2
b = -4
The voltage at the middle source is [tex](2-4\mathbf{i})\ V[/tex]
The voltage at the middle source is;
E2 = (2 + 4i) V
From the image, we see the voltage at each point as;
E1 = (2 + 6i) V
E2 = (a + bi) V
E3 = (2 - 5i) V
The given voltages are in series and as such the total voltage will be;
E_t = E1 + E2 + E3
We are told that the total source voltage is (6 - 3i)V. Thus;
(6 - 3i) = (2 + 6i) + (a + bi) + (2 - 5i)
Rearranging gives;
(a + bi) = 6 - 3i - (2 + 6i) - (2 - 5i)
(a + bi) = 6 - 3i - 2 - 6i - 2 + 5i
(a + bi) = 2 - 4i
The middle source voltage is E2 = (a + bi) V. Thus;
E2 = 2 - 4i
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Anna divided a sheet of paper into 5 equal sections in color 3 of the sections blue what percent of the paper did she color
There are 211 basketball fans who plan to go to a game. How many buses will be needed, given that each bus can hold 48 fans?
alice started at the origin and moved to the left and then down to plot a point. which quadrant and which possible point did alice plot at?
Answer:
OK
Step-by-step explanation:
LOL SO WHAT I . DID
IS ik the qudrents and just ask siri maybe she will help but i got qudrent 3
Eric and Carly each made a bowl of punch. Carly used 5 times as much lemonade as Eric did. If Eric used 1/4 of a
cup of lemonade, how many cups of lemonade did Carly use? Simplify your answer.
Answer:
carly used 1 1/4 cups of lemonade
Step-by-step explanation:
I think that is simplified
I really need help asap with this math homework,
It is due tonight.
Answer:1920
Step-by-step explanation:
Sorry if this is not accurate but here is how your gonna do it
Find the constant speed per hour (The quotient is 80) then multiply that by 24 which you will get 1920 Hopefull this helps and its correct :D
et.
n
4. Elena's account balance with her parents is
-$5.50. She adds a certain amount of
money to her balance by mowing the lawn.
Elena now has an account balance less than
$20. Determine a possible amount she
earned mowing the lawn. Then interpret the
solution. (Example 1) moll end to bi
Answer:
-$5.50>x>$20
Elena has more than -$5.50 but less than $20.
Step-by-step explanation:
Ok, so the question says that Elena has -$5.50 in her account. That means that she owes someone ( the bank) $5.50.
Elena then mows the lawn which may have paid off her debt. But we don't know that for sure.
All they give us is that Elena has less than $20 in her bank account.
So your answer may look like this:
-$5.50>x>$20
Elena has more than -$5.50 but less than $20.
Elena earned, amount more than -$5.50 and less than $20 by mowing the lawn.
What is Inequality?If two real numbers or the algebraic expressions are related by the symbols “>”, “<”, “≥”, “≤”, then the relation is called an inequality.
For example, x>3 (x should be greater than 3)
Given,
Account balance of Elena with her parents = -$5.50.
Which means she is in debt of $5.50.
Elena then adds a certain amount of money to her balance by mowing the lawn,
which may have paid off her debt, that is not sure.
But,
Account balance of Elena after mowing the lawn is more than - $5.50 less than $20.
Let the money Elena earned by Elena earned mowing the lawn = x
Then,
Possible amount she earned mowing the lawn = -$5.50 < x <$20.
Hence, Possible amount Elena earned mowing the lawn is
between -$5.50 and $20 = -$5.50 < x < 20.
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Select the correct answer.
Which inequality represents all the solutions of -2(3x+6) = 4(x +7)
What is the measure of angle 7?
8.A wedding venue holds no more than 485 guests. If 319 people have said they are attending, how many more people does the venue have room for?
Answer:
They have room for 166 more people.
Step-by-step explanation:
485 - 319 = 166
Answer:
166 people.
Step-by-step explanation:
If there is room for 485 and 319 people are coming, just subtract. 485-319=166.
I need help please and thank you !
Answer:
1 1/8 2 1/4 - 1 1/8= 1 1/8
Step-by-step explanation:
Hoped I helped Im Eve btw. Have an amazing day and consider marking this as brainliest if you do thank you in advanced! :3
CAN ANYONE HELP ME FIND THE ANSWERS TO QUESTION 2 !? ASAP .. DUE IN 15 MINS :(
WILL GIVE BRAINLEST What expression can be used to determine the total cost of buying c pounds of cashews for $ 2.95 per pound and s pounds of sugar for $0.72 per pound? Choose the correct expression for determining the total cost.
2.95c -0.75s
3.67-(c+s)
2.95 + 0.72s
0.72 + 2.95s
Answer:
1pound of granola= $3.25
g pound of granola=g*3.25
=3.25g$
1 pound of flour = 0.74$
f pound of flour = f*0.74
= 0.74f$
The expression to determine the total cost of buying the above items= (3.25g+0.74f)
Step-by-step explanation:
name the property shown by each statement: d x e x 0 = 0
Answer:
Commutative Property of Multiplication. Associative Property of Multiplication.
Step-by-step explanation:
50 cm = .... m a. 50 x 106 m b. 50 x 10-3 m c. 50 x 101 m d. 50 x 10-2 m
9514 1404 393
Answer:
d. 50 x 10^-2 m
Step-by-step explanation:
"c" is the SI prefix for "centi-" meaning one hundredth, or 10^-2. Then ...
50 cm = 50×10^-2 m
If using the method of completing the square to solve the quadratic equation
x2 – 9x + 38 0, which number would have to be added to "complete the
square"?
=
Answer:
81/4
Step-by-step explanation:
Given the equation x^2 – 9x + 38 = 0
Subtract 38 from both sides
x^2 – 9x + 38 - 38= 0 - 38
x^2 - 9x = -38
Next is to complete the square, to do this we will add the square of the half of coefficient of x to both sides as shown;
Coefficient of x is - 9
Half of -9 will be (-9/2)
Squaring the result will give (-9/2)² = 81/4
Hence the number that would have to be added to "complete the
square" is 81/4 to have;
x^2 - 9x + 81/4= -38 + 81/4
(x-9/2)² = -38 + 81/4
Hence the required value is 81/4
please solve 2x^2 -4x - 48 = 0
Answer:
-4, 6
Step-by-step explanation:
[tex]2x^2 -4x - 48 = 0 \\ \\ 2( {x}^{2} - 2x - 24) = 0 \\ \\ {x}^{2} - 2x - 24 = 0 \\ \\ {x}^{2} - 6x + 4x - 24 = 0 \\ \\ x(x - 6) + 4(x - 6) = 0 \\ \\ (x - 6)(x + 4) = 0 \\ \\ x - 6 = 0 \: \: or \: x + 4 = 0 \\ \\ x = 6 \: \:o r \: \: x = - 4 \\ \\ x = - 4, \: \: 6[/tex]
The sum of two numbers is
60
and the difference is
10
. What are the numbers?
Answer:
35 and 25.
Step-by-step explanation:
x+y=60
x-y=10
Subtract eq1 by eq2
x-x+y-(-y) = 60-10
2y=50
y=25.
x+25=60
x=35
Hope this helps :D
#Team Rainbows
Lucy cuts 5 different pieces of fabric throughout the day .
1.125 M 475CM 245CM 5.875M 3.055M
What is the total amount of fabric she cut ?
(. )M
Answer: 1 625.5cm or 16.255m
Step-by-step explanation:
convert all m measurements into cm by multiplying, add all the cm measurements together. this equation is 12.5cm+ 475cm+ 245cm+ 587.5cm+ 305.5cm= 1625.5cm.
convert the cm measurements back to m measurements (i only assume because you said . m at the end)
The total amount of fabric she cut is 17.255 m .
The total length of the fabric can be determined by adding the length of the different pieces. Addition is determining the total value or summing two or more numbers.
In order to add the different lengths, the lengths have to be in meters.
100cm - 1 meter
475cm = 475 / 100 = 4.75m
245cm = 245 / 100 = 2.45m
Now that all the lengths are in the same units, they can now be added together; 1.125 + 5.875 + 3.055 + 4.75 + 2.45 = 17.255 m
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The probability distribution below shows the number of kittens in a litter, Find the probability that a cat will have at most 4 kittens * 7 points
The probability that a cat will have at most 4 kittens is to be considered as the 0.83.
Calculation of the probability;= Probability of 2 + Probability of 3 + Probability of 4
= 0.20 + 0.35 + 0.28
= 0.83
Hence, The probability that a cat will have at most 4 kittens is to be considered as the 0.83.
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The probability that a cat will have at most 4 kittens is 0.83
What is Probability?
The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
The value of probability lies between 0 and 1
Given data ,
Let the number of kittens in the litter be = A
Now , when A = 2
The probability distribution is = 0.20
Now , when A = 3
The probability distribution is = 0.35
Now , when A = 4
The probability distribution is = 0.28
Now , when A = 5
The probability distribution is = 0.15
And , the probability that a cat will have at most 4 kittens is calculated by
P ( x ≤ 4 ) = P ( 2 ) + P ( 3 ) + P ( 4 )
= 0.20 + 0.35 + 0.28
= 0.83
Therefore , the probability that a cat will have at most 4 kittens is 0.83
Hence , The probability that a cat will have at most 4 kittens is 0.83
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2x+5y=10
x intercept=
y intercept=
Answer:
x= 0/-8
y= 0/5
Step-by-step explanation:
Brain-List?
Identify the solutions (roots) of the function y=x2 + 2x - 3
please help
Answer:
x=1,-3
Step-by-step explanation:
Use the table to answer the following question.
Х
0
1
2
3
y
8
1
-6
-13
What is an equation that describes the relationship?
0
A. y = 8 - 7x
B. y = 7x + 8
O
C. y = 7x - 8
D. y = 8x - 7
PLS HELP IM IN THE MIDDLE OF A TEST PLSSSSSSSSSSSSSSSSSS AND GIVE ME THE RIGHT ANSWER PLSSSSSSS.
For which pair of functions is (g circle f) (a) = StartAbsoluteValue a EndAbsoluteValue minus 2?
f(a) = a2 – 4 and g (a) = StartRoot a EndRoot
f (a) = one-half a minus 1 and g(a) = 2a – 2
f(a) = 5 + a2 and g (a) = StartRoot a minus 5 EndRoot minus 2
f(a) = 3 – 3a and g(a) = 4a – 5
Please explain in detail I am very confused about the whole thing thx for ur help in advance :)
Given:
[tex](g\circ f)(a)=|a|-2[/tex]
To find:
The functions f(x) and g(x).
Solution:
We know that,
[tex](g\circ f)(a)=g[f(a)][/tex]
If [tex]f(a)=a^2-4[/tex] and [tex]g(a)=\sqrt{a}[/tex], then
[tex](g\circ f)(a)=g[a^2-4][/tex]
[tex](g\circ f)(a)=\sqrt{a^2-4}\neq |a|-2[/tex]
Option A is incorrect.
If [tex]f(a)=\dfrac{1}{2}a-1[/tex] and [tex]g(a)=2a-2[/tex], then
[tex](g\circ f)(a)=g[\dfrac{1}{2}a-1][/tex]
[tex](g\circ f)(a)=2(\dfrac{1}{2}a-1)-2[/tex]
[tex](g\circ f)(a)=a-2-2[/tex]
[tex](g\circ f)(a)=a-4\neq |a|-2[/tex]
Option B is incorrect.
If [tex]f(a)=5+a^2[/tex] and [tex]g(a)=\sqrt{a-5}-2[/tex], then
[tex](g\circ f)(a)=g[5+a^2][/tex]
[tex](g\circ f)(a)=\sqrt{5+a^2-5}-2[/tex]
[tex](g\circ f)(a)=\sqrt{a^2}-2[/tex]
[tex](g\circ f)(a)=|a|-2[/tex]
Option C is correct.
If [tex]f(a)=3-3a[/tex] and [tex]g(a)=4a-5[/tex], then
[tex](g\circ f)(a)=g[3-3a][/tex]
[tex](g\circ f)(a)=4(3-3a)-5[/tex]
[tex](g\circ f)(a)=12-12a-5[/tex]
[tex](g\circ f)(a)=7-12x\neq |a|-2[/tex]
Option D is incorrect.
Therefore, the correct option is C.
correct answer please
find the answer choices
Answer:
Love and support from parents and respect parents
Being a positive role model to everyone and understands friends weaknesses
Compares body to others and obsessed about weight loss
Communicate well with parents and cooks food and do chores
Guidance on decision making in whatever situation and positive friendship
Knowledgeable on teenage health issues and admits faults
Step-by-step explanation:
I figured this out by matching the statements to the correct ending and if there was any I was unsure on I worked that out afterwards.
Which formula do we use to reflect over the y=x line
(x, y) → (y,x)
(x, y) → (-y, -x)
(x, y) = (-x, y)
(x, y) = (x, -y)
Answer:
the first one on the list because it said refect
| 11-2 |
Please help me with this
Answer:
The answer is 9
Step-by-step explanation:
brainiest because im in a brother war please
To create a confidence interval from a bootstrap distribution using percentiles, we keep the middle values and chop off a certain percent from each tail.
(a) What percent of values must be chopped off from each tail for a 95% confidence interval?
(b) If the bootstrap distribution contains values for 1000 bootstrap samples, how many should be chopped off at each end to produce a 95% confidence interval?
Answer:
a
[tex]\frac{\alpha }{2} = 2.5 \%[/tex]
b
[tex]N = 25[/tex]
Step-by-step explanation:
From the question we are told that
The number of bootstrap samples is n = 1000
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally the percentage of values that must be chopped off from each tail for a 95% confidence interval is mathematically evaluated as
[tex]\frac{\alpha }{2} = \frac{0.05}{2} = 0.025 = 2.5 \%[/tex]
=> [tex]\frac{\alpha }{2} = 2.5 \%[/tex]
Generally the number of the bootstrap sample that must be chopped off to produce a 95% confidence interval is
[tex]N = 1000 * \frac{\alpha }{2}[/tex]
=> [tex]N = 1000 * 0.025[/tex]
=> [tex]N = 25[/tex]
Answer:
Step-by-step explanation:
Hey
a bag contains 3 red balls and 1 blue ball. what is the expected number of red balls in the first bag
Answer:
[tex]Expected\ Value = 3[/tex]
Step-by-step explanation:
Given
[tex]Red\ Balls = 3[/tex]
[tex]Blue\ Balls = 1[/tex]
Required
Determine the expected number of red balls
First, we calculate the probability of a red ball
[tex]P(Red\ Ball) = \frac{Red\ Ball}{Total}[/tex]
[tex]P(Red\ Ball) = \frac{3}{3 + 1}[/tex]
[tex]P(Red\ Ball) = \frac{3}{4}[/tex]
[tex]P(Red\ Ball) = 0.75[/tex]
The expected value is then calculated as:
[tex]Expected\ Value = P(Red\ Ball) * Total[/tex]
[tex]Expected\ Value = 0.75 * 4[/tex]
[tex]Expected\ Value = 3[/tex]
Consider the following patter: -18, X, -10, -6, -2
The value of x in this pattern is
Answer:
-14
Step-by-step explanation:
(-6)-(-2)= -4
(-10)-(-6)= -4
therefore there is a 4 number Gap between them:
(-10) + (-4) = -14