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yanalaym [24]
1 year ago
15

Simplify the exponential expression.

Mathematics
2 answers:
sertanlavr [38]1 year ago
5 0

Hello,

\frac{h {}^{3} }{h {}^{ 3} }  = h {}^{3 - 3}  = h {}^{0}  = 1

Sever21 [200]1 year ago
3 0

Answer:

1

Step-by-step explanation:

Well you could use the exponential identity that: \frac{x^a}{x^b}=x^{a-b}

To determine: \frac{h^3}{h^3}=h^{3-3}

Which means that it's equal to: h^0

and since anything to the power of 0 (except 0) is equal to 1, then the value is 1.

But you can also just see that the numerator and denominator are the same exact value, and since dividing something by it self, results in 1, the answer must be 1, which is kind of a proof as to why h^0 = 1.

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Put these numbers in order from least to greatest 1/8, -0.333, -1/7
Gekata [30.6K]

Answer:

-0.333, -1/7, 1/8

Step-by-step explanation:

1/8 is the greatest because it is a positive number while the other two numbers are negative.

-0.333 or -1/3 is smaller than -1/7.

7 0
2 years ago
Tomas bought 80 tickets for rides at an amusement park. Each ride costs 5 tickets, and Tomas has been on x rides so far. Which e
Alex Ar [27]

Answer:

Option A, C and D are correct choices.

Step-by-step explanation:

Let x be the number of rides that Tomas has been on so far. Each ride costs 5 tickets. This means that cost of x rides will be 5x.

We are told that Tomas bought 80 tickets for rides at an amusement park.

To find the number of of tickets that Tomas has left we will subtract cost of x rides from total number of tickets that Thomas bought.

We can represent this information in an expression as: 80-5x

Now let us see which of our given choices in equivalent to our expression.

A. 80-5x

Upon looking at option A we can see that it is same as our expression, therefore, option A is the correct choice.

B. 80+5x

We can see that in this expression cost of x rides in being added instead of subtraction, therefore, option B is not a correct choice.

C. 5(16-x)

Upon distributing 5 we will get,

80-5x

Now this expression is same same as our expression, therefore, option C is the correct choice.

D. -5x+80

This expression is also same as our expression as we can rearrange the terms in this expression as: 80-5x, therefore, option D is a correct choice as well.

E. 5(16+x)

Upon distributing 5 we will get,

80+5x

We can see that in this expression cost of x rides in being added instead of subtraction, therefore, option E is not a correct choice.

6 0
3 years ago
The ages of armadillos are normally distributed, with a mean of 14 years and a standard deviation of 1.2. Approximately what per
vovangra [49]

Answer:

Percentage of armadillos between 13 and 17 years = 79.052%f using Standard Normal Distribution Tables

Step-by-step explanation:

As we know from normal distribution: z(x) = (x - Mu)/SD

where x = targeted value; Mu = Mean of Normal Distribution; SD = Standard Deviation of Normal Distribution

Therefore using given data: Mu = 14, SD = 1.2 we have z(x) by using z(x) = (x - Mu)/SD as under:

Approach 1 using Standard Normal Distribution Table:

z for x=17: z(17) = (17-14)/1.2 gives us z(17) = 2.5

z for x=13: z(13) = (13-14)/1.2 gives us z(13) = -0.83

Afterwards using Normal Distribution Tables we find the probabilities as under:

P(17) using z(17) = 2.5 gives us P(17) = 99.379%

Similarly we have:

P(13) using z(13) = -0.83 gives us P(13) = 20.327%

Finally in order to find out the probability between 17 & 13 years we have:

Percentage of armadillos between 13 and 17 years = P(17) - P(13) = 99.379% - 20.327% = 79.052%

The standard normal distribution table is being attached for yours easiness.

Approach 2 using Excel or Google Sheets:

P(17) = norm.dist(17,14,1.2,1)

P(13) = norm.dist(13,14,1.2,1)

Percentage of armadillos between 13 and 17 years = { P(17) - P(13) } * 100

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4 0
3 years ago
Read 2 more answers
the cost of a small cup of coffee at a deli is $3.50. You can use the equation t=3.5n, where t represents the total money made f
Kazeer [188]
3.5, it is the coefficient and describes how many n there are
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3 years ago
Which two-dimensional shapes are needed to build the pentagonal prism shown below?
Allushta [10]

Answer:

Option C

Step-by-step explanation:

2 pentagons and 5 rectangles are needed to build this pentagonal prism!

4 0
4 years ago
Read 2 more answers
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