f(x) = x²<span> - 5x + 1
f(-3) = (-3)</span>² - 5(-3) + 1
<span>
f(-3) = 25
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Answer: f(-3) = 25 (Answer C)
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Answer:
See below in bold.
Step-by-step explanation:
For the fair coin Prob(head) = 1/2 and Prob(Tail) = 1/2.
For the biased coin it is Prob(head) = 2/3 and Prob(Tail) = 1/3.
a) Prob(2 heads) = 1/2 * 2/3 = 1/3.
b) Prob(2 tails) = 1/2 * 1/3 = 1/6.
c) Prob(1 head ) = Prob(H T or T H) = 1/2 * 1/3 + 1/2 * 2/3) = 1/6+1/3 = 1/2.
d) Prob (at least one head) = prob (HH or TH or HT) = 1/3 + 1/2 =<em> </em>5/6.
The rectangular representation of the polar point of (4 , 300) is (2,- 2√3)
According to the statement
we have given a coordinates of the rectangle and we have to find the polar coordinates.
So, For this purpose, we know that the
We Use the conversion formulas to convert from polar coordinates to rectangular coordinates which are
x = rcosθ
y = rsinθ
Substitute the given values in it then
x=(4)cos(300)
y=(4)sin(300)
Apply the reference angle by finding the angle with equivalent trig values in the first quadrant.
x=(4)cos(60) -(1)
y= - (4)sin(60) -(2)
And then
x=(4)cos(60)
x=(4)(1/2)
x = 2 -(3)
and
y= - (4)sin(60)
y= - (4)(√3/2)
y= - 2√3 -(4)
Replace (3) with (1) and (4) with (2)
then it becomes
x = 2 and y= - 2√3
The rectangular representation of the polar point of (4 , 300) is (2,- 2√3)
Learn more about polar coordinates here
brainly.com/question/4522672
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So the hypotenuse is 2.7, and the opposite is 1.6.
We can use sine to find the angle.
sin(x) = (1.6)/(2.7)
Simplify:
sin(x) = 0.592592593
Plug this in your calculator to find the inverse of sine:
x = 36.34120312
So the angle is 36 degrees.
Answer:
-I₁ + I₂ + I₃ = 0
I₁ = I₂ + I₃
Step-by-step explanation:
The image of the circuit is obtained online and attached to the question.
The junction rule is essentially a law of conservation of current (charges). It applies to electrical circuits at steady state.
It explains that the for any given junction (node in an electrical circuit), the sum of current entering the junction is equal to the sum of current leaving the junction. That is, the net sum of current at any junction is zero.
Current entering a junction is assigned a positive sign and that leaving the junction is assigned a negative sign.
Σ I = 0
From the image of the circuit attached, I₁ is leaving the junction labelled number 1 and I₂ and I₃ are entering the junction.
Hence,
-I₁ + I₂ + I₃ = 0
I₁ = I₂ + I₃
Hope this Helps!!!
