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zimovet [89]
3 years ago
6

Using the numbers 5, 8, and 24, create a problem using no more than four operations (addition, subtraction, multiplication, divi

sion, square, square root, cube, cube root) where the solution will be an irrational number. Explain why the result of your operations is an irrational number.
Mathematics
1 answer:
Oxana [17]3 years ago
3 0

Answer:

There could be many answers to this problem, one being the √(24 x 5 - 8)

Step-by-step explanation:

Irrational numbers are classified as real numbers that are non-terminating and non-repeating decimals.  This means that the number will be a decimal that never ends and does not contain a pattern of any kind.  For example, a decimal that never ends is usually written as: 5.6789234...  This type of number is irrational because the decimal keeps going and shows no pattern of repetition. In the answer given, the value of (24 x 5 -8) is 112.  The square root of 112 is not a perfect square and thus you will get a non-terminating and non-repeated decimal as the final answer, thus making it irrational.

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Differentiating Exponential functions In Exercise,find the derivative of the function. See Example 2 and 3.
Citrus2011 [14]

Answer:

f'(x)=-5ae^{ax}=a f(x), where a be a constant.

Step-by-step explanation:

Note: The given functions is a constant function because variable term is missing.

Consider the given function is

f(x)=-5e^{ax}

where a be a constant.

We need to find the derivative of the function.

Differentiate with respect to x.

f'(x)=\dfrac{d}{dx}(-5e^{ax})

f'(x)=-5\dfrac{d}{dx}(e^{ax})

f'(x)=-5e^{ax}\dfrac{d}{dx}(ax)            [\because \dfrac{d}{dx}(e^x)=e^x]

f'(x)=-5ae^{ax}

f'(x)=a(-5e^{ax})

f'(x)=a f(x)

Therefore, the derivative of the function is f'(x)=-5ae^{ax}=a f(x).

7 0
3 years ago
PLS ANSWER QUICKLY!!
olganol [36]

Answer:

EF=6

Step-by-step explanation:

E is the midpoint, so DE = EF

DE = 15-3x

EF = x+ 3

Since DE = EF,

15 - 3x = x + 3

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x = 3

If x = 3,

DE = 15 - 3*3,   15 - 9 = 6

EF = x+ 3, so EF = 3 + 3 = 6

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3 years ago
How to solve this probability homework? Please explain. Thanks!
Natali [406]

They are asking for the outcome of A and B, which means you need to include the results of both together.

The result would be {4,5,6,7,10,11,12}

Since there are no common numbers in either A or B, they would be mutually exclusive.

The answer would be the last one.

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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