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NNADVOKAT [17]
3 years ago
12

Rewrite the expression with rational exponents as a radical expression.

Mathematics
1 answer:
Alik [6]3 years ago
3 0

Answer:

\displaystyle 4\sqrt[7]{x^3}

General Formulas and Concepts:

<u>Algebra I</u>

  • Exponential Rule [Root Rewrite]:                                                                        \displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

<em />\displaystyle 4x^\bigg{\frac{3}{7}}<em />

<em />

<u>Step 2: Rewrite</u>

  1. Split:                                                                                                                      \displaystyle 4(x^\bigg{\frac{1}{7}})^3
  2. Rewrite [Exponential Rule - Root Rewrite]:                                                        \displaystyle 4\sqrt[7]{x^3}
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Identify the initial amount a and the growth factor b in the exponential function. A(x)=30*8.3^x
MAVERICK [17]

Answer:

Option B is correct.

Initial amount (a) = 30 and growth factor(b) = 8.3

Step-by-step explanation:

An exponential function is of the form: y =ab^x        ....[1]

where

a represents the initial amount

b represents the growth factor and x is the variable

Given the function: A(x) = 30 \cdot (8.3)^x

On comparing given equation with [1] we get;

a = 30 and b = 8.3

Therefore, the initial amount(a) = 30 and growth factor(b) = 8.3

8 0
3 years ago
Dan invests £1300 into his bank account.
alexandr402 [8]

Given parameters:

Principal  = £1300

Interest rate  = 5%

Duration  = 2yrs

Unknown:

Total amount of Dan's principal = ?

To solve this problem, we apply the equation below:

  Total investment worth  = Principal + interest

   Interest  = \frac{PRT}{100}

where P is the principal

          R is the rate

          T is the time

Now, input the parameters;

     Total investment worth  = £1300 + £ \frac{1300 x 5 x 2}{100}

                                             = £1300 + £130

                                             = £1430

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7 0
3 years ago
Find the rectangular coordinates of the point ( -3, 1/2 π)
alexdok [17]

Answer:

x = -3 cos (\frac{\pi}{2})= 0

y = -3 sin (\frac{\pi}{2})= -3

And then the rectangular coordinates for this case are :

(x = 0 , y = -3)

Step-by-step explanation:

We have the following point given P = (-3, \frac{\pi}{2}) and we want to conver from polar to rectangular coordinates and we need to use the following formulas:

x = r cos \theta

y = r sin \theta

For this case we have that:

r = -3

And:

\theta = \frac{\pi}{2}

Replacing we got:

x = -3 cos (\frac{\pi}{2})= 0

y = -3 sin (\frac{\pi}{2})= -3

And then the rectangular coordinates for this case are :

(x = 0 , y = -3)

4 0
4 years ago
1.<br> 4 sides equal sides and 4 right angles:<br> 4 sides equal sides and 4 right angles
larisa86 [58]

Answer:

a square

Step-by-step explanation:

8 0
3 years ago
Describe the relationship between GF and CD when the two lines are perpendicular to AB. Also describe the relationship between G
Tamiku [17]

Answer:

congruent

Step-by-step explanation:

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6 0
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