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scoundrel [369]
3 years ago
8

Would you classify the number 200 as a perfect square, a perfect cube, both, or neither? Explain. ​

Mathematics
2 answers:
Goshia [24]3 years ago
4 0

Answer:

200 is neither a perfect square nor a perfect cube

Step-by-step explanation:

A number x is said  to be a perfect square  if we can write x=y^2 for some y.

A number x is said  to be a perfect cube if we can write x=y^3 for some y.

Here, we need to classify the number 200 as a perfect square, a perfect cube, both, or neither .

200=2\times 2\times 2\times 5\times 5=2^3\times 5^2

We can't write 200 as square of some number or cube of some number , so 200 is neither a perfect square nor a perfect cube.

Volgvan3 years ago
3 0

Answer:

neither

Step-by-step explanation:

√200 =10√2 so its not perfect square

(3)√200≈5.8480 not a perfect cube

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The area of a square is 9/16 in2. What is the perimeter of the square
Alekssandra [29.7K]

Answer:

3 in²

Step-by-step explanation:

The fraction 9/16 is equal to the equation 9 ÷ 16.

9 ÷ 16 = 0.5652

Lets find the square root of 0.5652

\sqrt{0.5652} = 0.75

So the length of one side is 0.75 in²

Now we'll multiply this by 4, for the length of the 4 equal sides.

0.75 x 4 = 3.

This means the perimeter is 3 in².

5 0
3 years ago
Which equations represent exponential growth? Which equations represent exponential decay? Drag the choices into the boxes to co
Norma-Jean [14]

Answer:

Exponential growth functions are:

A=20000(1.08)^{t}

A=40(3)^{t}

A=1700(1.07)^{t}

Exponential decay functions are:

A=80(\frac{1}{2})^{t}=80(0.5)^{t}

A=1600(0.8)^{t}

A=1700(0.93)^{t}

Step-by-step explanation:

Given:

An exponential function is of the form y=ab^{x}, where, a\ne 0.

Now, if a > 0 and b > 1, then the exponential function represent exponential growth.

If a > 0 and 0 < b < 1, then the exponential function represent exponential  decay.

Let us check each function now.

Option 1: A=20000(1.08)^{t}

Here, a = 20000, b = 1.08

As 1.08 > 1, the function is exponential growth.

Option 2: A=80(\frac{1}{2})^{t}=80(0.5)^{t}

Here, a = 80, b = 0.50

As 0.5 < 1, the function is exponential decay.

Option 3: A=1600(0.8)^{t}

Here, a = 1600, b = 0.8

As 0.8 < 1, the function is exponential decay.

Option 4: A=40(3)^{t}

Here, a = 40, b = 3

As 3 > 1, the function is exponential growth.

Option 5: A=1700(1.07)^{t}

Here, a = 1700, b = 1.07

As 1.07 > 1, the function is exponential growth.

Option 6: A=1700(0.93)^{t}

Here, a = 1700, b = 0.93

As 0.93 < 1, the function is exponential decay.

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3 years ago
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Vinil7 [7]

Answer:

The axis of symmetry is x = 6

Step-by-step explanation:

To find this, first find the two x-intercept values and then take the average. This will always be the line of symmetry.

x + 9 = 0

x = -9

x - 21 = 0

x = 21

Now take the average of these two numbers.

(-9 + 21)/2

12/2

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