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Nat2105 [25]
4 years ago
12

How to solve for b in the following equation... 53.2=30.5b^50

Mathematics
1 answer:
Margarita [4]4 years ago
7 0

Answer:

  b = (53.2/30.5)^(1/50) ≈ 1.011188765

Step-by-step explanation:

Divide by the coefficient of the variable, then take the 50th root.

  53.2/30.5 = b^50

  (53.2/30.5)^(1/50) = b . . . . . . 50th root of both sides of the equation

__

You know the rule of exponents for powers of powers is ...

  (a^b)^c = a^(bc)

If we want bc = 1, then we must have c = 1/b.

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The table below shows some inputs and outputs of the invertible function f etc ​
Snowcat [4.5K]

Answer:

(a)\ f^{-1}(-15) = -6

(b)\ f^{-1}(4) + f(9)=0

Step-by-step explanation:

Given

The attached table

(a)\ f^{-1}(-15)

This represents an inverse function.

So, we look into x row for its value.

i.e.

f^{-1}(-15) = -6

(b)\ f^{-1}(4) + f(9)

Just like (a)

f^{-1}(4) = -11 ---- by looking into the x rows

f(9) = 11

So:

f^{-1}(4) + f(9)=-11 + 11

f^{-1}(4) + f(9)=0

4 0
3 years ago
Rectangle ABCD is dilated by a scale factor of One-half with a center of dilation at the origin. What are the coordinates of the
MissTica

Answer:

The new coordinate of image of point B (-4, 6) will be B'(-2, 3) when a rectangle ABCD is dilated by a scale factor of One-half with a center of dilation at the origin.

Step-by-step explanation:

Considering the vertices of the rectangle ABCD

  • A(-8, 6)
  • B(-4, 6)
  • C(-4, 4)
  • D(-8, 4)

When a rectangle ABCD is dilated by a scale factor of One-half with a center of dilation at the origin, then the coordinate of image of point B can be calculated by multiplying the x and y coordinates of point B with 1/2.

i.e.

B(-4, 6) → B'(-4/2, 6/2) = B'(-2, 3)

Therefore, the new coordinate of image of point B (-4, 6) will be B'(-2, 3) when a rectangle ABCD is dilated by a scale factor of One-half with a center of dilation at the origin.

4 0
4 years ago
Read 2 more answers
Which expression gives the volume of a sphere with radius 15?
Nesterboy [21]
The Volume of a Sphere = \frac{4}{3} \pi r^{3}

Thus, if the radius = 15

Then Volume of such a Sphere = \frac{4}{3} \pi (15^{3})    {OPTION C}
4 0
3 years ago
Read 2 more answers
Which of the numbers below correctly describes 4.7 h?
Vera_Pavlovna [14]

Answer: a. 4,700 mh

Step-by-step explanation:

Assuming:

1 mh = 10^{-3} h

1 kh = 10^{3} h

1 ph = 10^{-12} h

The only option that is correct is a. 4,700 mh, let's prove it with the following conversion:

4.7 h \frac{1 mh}{10^{-3} h} = 4,700 mh

3 0
3 years ago
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Elan Coil [88]

Answer:

1) 2x^4/343

2) 2x^6/225

3) 2x^12/25

4) 5x^20/16807

Step-by-step explanation:

Hope this helps!

3 0
3 years ago
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