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CaHeK987 [17]
2 years ago
5

What is the simplified base for the function f(x) = 2rootindex 3 startroot 27 endroot superscript 2 x?

Mathematics
1 answer:
VMariaS [17]2 years ago
6 0

Applying exponential properties, the simplified base for the function is given as follows:

f(x) = 2(3)^{2x}

<h3>What is the function?</h3>

The function is represented by the following definition:

f(x) = 2\sqrt[3]{27^{2x}}

As an exponent, the function is given by:

f(x) = 2(27)^{\frac{2x}{3}}

27 can be simplified as follows:

27 = 3 x 3 x 3 = 3³

Hence:

f(x) = 2(3^3)^{\frac{2x}{3}}

Then, the 3 at the exponent multiplies 2x and can be simplified with the 3 of the root, hence:

f(x) = 2(3)^{\frac{3 \times 2x}{3}} = 2(3)^{2x}

Hence the simplified base for the function is given as follows:

f(x) = 2(3)^{2x}

More can be learned about exponential properties at brainly.com/question/25263760

#SPJ1

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Plllzzz im new and i neeed help
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Answer:

4082

Step-by-step explanation:

Given

The composite object

Required

The volume

The object is a mix of a cone and a hemisphere

Such that:

<u>Cone</u>

r = 10cm ---- radius (r = 20/2)

h = 19cm

<u>Hemisphere</u>

r=10cm

The volume of the cone is:

V_1 = \frac{1}{3}\pi r^2h

V_1 = \frac{1}{3}\pi * 10^2 * 19

V_1 = \frac{1900}{3}\pi

The volume of the hemisphere is:

V_2 = \frac{2}{3}\pi r^3

V_2 = \frac{2}{3}\pi 10^3

V_2 = \frac{2000}{3}\pi

So, the volume of the object is:

V = V_1 + V_2

V = \frac{1900}{3}\pi + \frac{2000}{3}\pi

V = \frac{3900}{3}\pi

V = 1300\pi

V = 1300 * 3.14

V = 4082

8 0
3 years ago
Trigonometry
Alla [95]

90° is equal to  \frac{\pi}{2} or 1.5707 radians.

Step-by-step explanation:

Step 1:

If an angle is represented in degrees, it will be of the form x°.  

If an angle is represented in radians, it will be of the form \frac{\pi}{x} radians.

To convert degrees to radians, we multiply the degree measure by \frac{\pi}{180}.

For the conversion of degrees to radians,

the degrees in radians = (given value in degrees)(\frac{\pi}{180}).

Step 2:

To convert 90°,

90 (\frac{\pi}{180} ) = \frac{\pi}{2}.

0.5 \pi = 1.5707 radians.

So 90° is equal to \frac{\pi}{2} or 1.5707 radians.

3 0
3 years ago
Under what operations are the set of integers closed? Explain your answer. UPDATE ANSWER IS
stich3 [128]

Answer:

see below

Step-by-step explanation:

Closed under addition, subtraction and multiplication

Not closed under division :-

for example  3/4 = 0.75 which is not an integer

8 0
3 years ago
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Describe how to find the area of a parallelogram. Explain why.
S_A_V [24]
A=bh {A} stands for the area, {b} stands for the length of your parallelogram, and {h} stands for the height of your parallelogram.
8 0
3 years ago
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For a trapezoid, the midsegment is one-half of...
jekas [21]

Answer:

D

Step-by-step explanation:

Mathematically, the mid segment of a trapezoid is exactly the average of the 2 parallel bases

What this means is that to find the length of the trapezoid, we will need to find the average of the two parallel bases

Mathematically, this is same as adding the two bases and dividing the result by 2.

Hence we can say it is exactly one-half the length of the sum of the two parallel bases

3 0
4 years ago
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