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Marina CMI [18]
3 years ago
7

Simplify 2 to the fifth power over 3 squared all raised to the fourth power. 2 to the twentieth power over 3 to the eighth power

2 to the ninth power over 3 to the eigth power 8 to the fifth power over 12 squared 2 over 3 squared
Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
5 0

2 to the fifth power over 3 squared all raised to the fourth power

\left(\dfrac{2^5}{3^2}\right)^4=\dfrac{(2^5)^4}{(3^2)^4}=\dfrac{2^{5\cdot4}}{3^{2\cdot4}}=\dfrac{2^{20}}{3^8}

Answer: 2 to the twentieth power over 3 to the eighth power

Used:

\left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}\\\\(a^n)^m=a^{n\cdot m}

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A circle has a circumference of 6. It has an arc of length 17/3. What is the central angle of the arc, in degrees?
zepelin [54]

Answer:

340 degrees

Step-by-step explanation:

So the key thing here is to notice that we are given the circumference which will allow us to find a value for the radius of the circle and hence the angle subtended by the arc (the central angle).

So the circumference of a circle = 2pi(r)

This means:

6 = 2pi(r)

Which means that

r = 6/2pi or r = 3/pi

Now we can use this value of r to find our angle in conjunction with the value of the arc length. So:

Arc length is defined by: length = θr

Where θ is our angle value.

So lets plug in:

\frac{17}{3} = (angle)\frac{3}{\pi }

Multiply by pi to get:

\frac{17\pi }{3} = 3(angle)

Divide by 3 to get that:

θ = 17pi/9

So if we convert that from radians to degrees we get 340 degrees.

7 0
3 years ago
Solve for u. 31.25 = u/5
ipn [44]

Answer:

u = 156.25

Step-by-step explanation:

Step 1: Write equation

31.25 = u/5

Step 2: Solve for <em>u</em>

  1. Multiply both sides by 5: 156.25 = u
  2. Rewrite: u = 156.25

Step 3: Check

<em>Plug in u to verify it's a solution.</em>

31.25 = 156.25/5

31.25 = 31.25

3 0
3 years ago
Read 2 more answers
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amm1812
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</span>



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3 years ago
Which graph shows a polynomial function, f, such that f(x)→ ∞ as x→ -∞ and f(x) →∞ as x→∞ ?
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F(x) means y

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