10e^(-3t)u(t) is the output voltage v (t) out for t ≥ 0.
To find the output voltage v(t) out for t ≥ 0 when n1 = 2, n2 = 4, and v_in(t) = 5e^(-3t)u(t), please follow these steps:
1. Identify the given terms:
n1 = 2 (input turns)
n2 = 4 (output turns)
v_in(t) = 5e^(-3t)u(t) (input voltage)
2. Recall the voltage transformation equation for transformers:
v_out(t) = (n2/n1) * v_in(t)
3. Plug in the given values:
v_out(t) = (4/2) * 5e^(-3t)u(t)
4. Simplify the expression:
v_out(t) = 2 * 5e^(-3t)u(t)
5. Final expression for the output voltage v(t) out for t ≥ 0 is:
v_out(t) = 10e^(-3t)u(t)
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Triangle ABCis rotated 90° clockwise around the origin to get
triangle A'B'C. Find the length of the line segment, AC
A. 2.23
OB. 4.47
O c. 2.44
D.2
Answer:
The distance A’C’ is 4.47 units
Step-by-step explanation:
Before we go on, we need to get the appropriate transformation
Mathematically, we have a 90 degrees clockwise rotation yielding the following;
(x,y) to (-y,x)
A is (-4,1)
C is (-2,5)
By transforming, we have
A’( -1,-4)
C’ (-5,-2)
To get the magnitude of the line segment, we are going to use the distance formula between points
We have this as;
D = √(x2-x1)^2 + (y2-y1)^2
D = √(-5-(-1))^2 + (-2-(-4))^2
D = √(-4)^2 + (2)^2
D = √(16 + 4)
D = √20
D = 4.47 units
Is y=-7 horizontal or vertical
Answer:
Horizontal
Step-by-step explanation:
Answer:
Y=7 is a horizontal line :)
Step-by-step explanation:
(The equation can be written as y=0x+7 ). Thus, y will always be 7 , creating a horizontal line.
I REALLY NEED AN ANSWER FAST! Which statement about the diagram is true?
A. m1 m3 + m4
B. m1 + m2 m2 + m3 + m4
C. m2 = m3 + m4
D. m1 m4
Pick one of the answers
Answer:
D
Step-by-step explanation:
To keep it short, refer to triangle exterior angle theorem.
Edit: If you want the full explanation,
A isn't the answer. The triangle exterior angle states that the measure of the 2 triangle interior add up to the the exterior angle of the other interior angle within the triangle.
Meaning that
measure of angle 1 equal the measure of 3 and 4 combined.
B. is wrong they are equal to each other because angle 2 is equal to angle 2
angle 1 is equal to angle 3 and 4
So they are equal
C.Wrong unless it a 30 60 90 triangle or 45 45 90 triangle, C is wrong
D. is right since measure of angle 4 and angle 3 add up to angle 1, angle 4 would be lesser than angle 1.
Answer:
d
Step-by-step explanation:
can you please help me with this? 50pts if it's correct.
PLEASEEE HELPPP me!!!!!
PLS NEED DONE ASAP 10 MINUTES TILL DUE
asap pls pls plslsspslsss
Answer:
The answer is the first one: y=3x+1
Step-by-step explanation:
For this question, you have to substitute different values of x and y in the table into the equation shown below the table.
y = 3x + 1
Sub x=4 and y=13
13 = 3(4) + 1
13 = 12 + 1
13 = 13
Sub x=2 and y=7
7 = 3(2) + 1
7 = 6 + 1
7 = 7
Sub x=0 and y=1
1 = 3(0) + 1
1 = 0 + 1
1 = 1
Sub x=-2 and y=-5
-5 = 3(-2) + 1
-5 = -6 + 1
-5 = -5
Hope it helps :)
License plates for motorcycles are different in each state. In New York they have five letters and in Maine they have four letters. How many more possibilities are there for license plates in New York? I feel like I'm overthinking this, someone help pls
Answer:
Not very many due to the fact that new york is more then just a busy place.
Step-by-step explanation:
Hope this helps Sorry if not
Which equation has no solution?
6(5x+4)=3(10x+7)
6 times open paren 5 x plus 4 close paren is equal to 3 times open paren 10 x plus 7 close paren
18x+17=2(9x+8)+1
18 x plus 17 is equal to 2 times open paren 9 x plus 8 close paren plus 1
4(3x−7)=8(2x+3)
Answer:
The answer of the question is 6(5x+4)=3(10x+7)
Round 0.9271 to the nearest whole number.
Answer:1
Step-by-step explanation:
Because 9 is a rich numbers uwill borrow one to the other side so it will become 1.0000
Answer:
1 is round off of 0.9271to the nearest whole number.
8. Find 51% of 140. Round to the nearest tenth if necessary.
0 274.5
0 7,140.0
0 71.4
0 1.4
Answer:
0 1.4 is the answer
Step-by-step explanation:
well if you round thats why
Answer:
71.4
Step-by-step explanation:
Looked it up
Alice, Bob, and Christy are setting up aquariums. The design of each aquarium is below. Alice has enough pebbles to cover 9 square feet. Does she have enough to put a layer of pebbles on the bottom of Aquarium A?
Answer:
Step-by-step explanation:
Yes, she does
Answer:
Yes, she does
Step-by-step explanation:
g(-4) and g(4)=
Using the graph
Answer:
g(-4) = 1 g(5) = -3
Step-by-step explanation:
Step 1: Recognize this is in function notation
In funcion notation what is in the brackets are the x coordinates of the point
Step 2: Solve
We see the first one is g(-4) so we head to the left side of the x-axis and look for a point on the line that has the x value of -4. We see that at x = -4 y is equal to 1 so g(-4) is equal to 1
Next we take a look at g(5) so we look at the right side of the x-axis and see that the line crosses x=5 at y=-3 so the value of g(5) is -3
A right triangle has legs 2m and 3m in length. What is the
length of its hypotenuse?
Answer:
First option) √13 m
Step-by-step explanation:
Using the Pythagorean theorem. 2^2+3^2=c^2
4+9=c^2
13=c^2
c=3.61
3.61 meters
Name three collinear points and non collinear points
I want all the answers please
Find the value of x.
A. 90
B. 70
C. 20
D. 50
Answer: B. 70
Step-by-step explanation:
i actually can't tell but i think this is right
Select the correct answer. One factor of the polynomial 213 3r2 – 3x + 2 is (t – 2), which expression represents the other factor, or factors, of the polynomial? A. (21 + 1) (1 - 1) B. (2r2 + 1) OC. (212 - I + 1) OD. (2x - 1)(1 + 1)
Answer:
(x - 2)(x + 1)(2x -1)
Step-by-step explanation:
We use synthetic division as a tool for factoring the given expression. The coefficients of the terms given are {2, -3, -3, 2}. If x - 2 is a factor of this expression, then 2 is a root. We perform synthetic division as follows:
2 / 2 -3 -3 2
4 2 -2
-------------------------------
2 1 -1 0
Next, we determine whether or not (2x - 1)(x + 1) represents the remaining factor(s). Using -1 as divisor, we get:
-1 / 2 1 -1
-2 1
---------------------
2 -1 0
Since the remainder is zero, x + 1 must be a factor and (2x - 1) the third factor. Answer D is correct.
The solution is, (x - 2)(x + 1)(2x -1), is the expression represents the other factor, or factors, of the polynomial.
What are Polynomials?Polynomials are sums of k-xⁿ terms, where k can be any number and n can be any positive integer.
here, we have,
We use synthetic division as a tool for factoring the given expression. The coefficients of the terms given are {2, -3, -3, 2}. If x - 2 is a factor of this expression, then 2 is a root. We perform synthetic division as follows:
2 / 2 -3 -3 2
4 2 -2
-------------------------------
2 1 -1 0
Next, we determine whether or not (2x - 1)(x + 1) represents the remaining factor(s). Using -1 as divisor, we get:
-1 / 2 1 -1
-2 1
---------------------
2 -1 0
Since the remainder is zero, x + 1 must be a factor and (2x - 1) the third factor. Answer D is correct.
Hence, The solution is, (x - 2)(x + 1)(2x -1), is the expression represents the other factor, or factors, of the polynomial.
Know more about Polynomials here:
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Using the figure below, identify the sum of the angles. Then identify the measurement of the missing angles.
Answer:
x = 135
Step-by-step explanation:
The angles at the bottom are right angles (90°)
The sum of interior angles in this rectangle is equal to 720°
Find the sum of interior angles
4x + 180 = 720 subtract 180 from both sides
4x = 540 divide both sides by 4
x = 135 this is also giving us the measure of missing angles.
2) Add the following:
4a2 + b2 – 3ab, 3a2 – 7b2 + 8ab and a2 – b2 + 2ab
Answer:
8a2-8b2+7ab
Step-by-step explanation:
Putting together all of the a2 gets you to 8a2
Putting together all of the b2 gets you to -8b2
Putting together all of the ab gets you to 7ab
Just want answers/brainliest if right!
Answer:
the first one is D, the second is B, hope this helps
Step-by-step explanation:
A scalene triangle has
A. No line of symmetry
B. one line of symmetry
C. two line of symmetry
D. three line of symmetry
Answer:A
scalene triangle is a triangle that has three unequal sides
Step-by-step explanation:
magbigay ng apat elektronikong
Answer:
Digital electronics.
Analogue electronics.
Microelectronics.
Circuit design.
Step-by-step explanation:
Please help the problem is in the picture below.
its either a or d but positive its a
If micheal invests $2000 in the bank at a rate of 5.5% for 6 years how much interest will he make?
help me plz
Answer: 14,533.79 don´t take my word for it
Step-by-step explanation:
Future Value of Annuity Due
P = 2,000
r = 5.5% (0.055)
n = 6
1.055 * (2,000 * [(1 + 0.055)^6 - 1)/(0.055)])
= 14,533.79
help it's due todayyyyy
Answer:
yes
Step-by-step explanation:
What are 3 of the 6 essential principles in Jefferson's Inaugural Address ?
brainliest if u get it right
Step-by-step explanation:
above guy is right. i donot about this.sorry and thanks.
Simplify:
3b - 3 and 3.5b + 4
Step-by-step explanation:
3b-3=3(b-1)
3.5+4=7,5
please help me I will mark you brainliest
Answer: q=4
Step-by-step explanation:
6x – 8y = -94
-X + 8y = 49
a. Subtract to eliminate y.
b. Subtract to eliminate x.
c. Add to eliminate y.
d. Add to eliminate x.
Answer:
photomath, assistant in mathematics, will decompose everything and give the correct answer.
please help me with this
Answer:
Y=MX+C is the equations of a straight line where C is the constant (y intercept)
Looking at a and b and the two graphs c and d
The function c represents the lowest value of the y intercept which is at -3