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3 years ago

Find a geometric representation for the following sequences of numbers. 3, 4, 5, 6, 7, …

Mathematics

1 answer:

zaharov [31]3 years ago

7 0

A triangle , a square , pentagon, and then u basically just increase the number of sides

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Which can be used to describe the expression? Check all that apply.

frozen [14]

We can write the expression above as the following function:

$f(r)=(r-4)^{3}$

So let's examine the expressions that are true for this exercise.

1. There are three factors of $r-4$ :

This is true because we can write the function $f(r)$ as follows:

 $f(r)=(r-4)(r-4)(r-4)$

So you can see that in fact there are three factors.

2. The expression is equal to 1 over 12 factors of r.

This is false. It is obvious that this is impossible. There is no any way to get the same expression by applying this statement.

3. Adding the exponents will create an equivalent expression.

This is true because we can write the function as follows:

 $f(r)=(r-4)^{1+1+1}$

So adding one three times we can get the same function, that is:

$1+1+1=3$

Therefore this is an equivalent expression because:

$f(r)=(r-4)^{1+1+1}=(r-4)^{3}$

4. Multiplying the exponents will create an equivalent expression.

This is true.You can get the following expression:

$f(r)=(r-4)^{\frac{2}{3}\times \frac{9}{2}}$

By multiplying the exponents we have:

$\frac{2}{3}\times \frac{9}{2}=3$

Therefore this is an equivalent expression because:

$f(r)=(r-4)^{\frac{2}{3}\times \frac{9}{2}}=(r-4)^{3}$

5. The expression simplifies to.

The expression is simplified, that is, it has been factorized. Therefore there is no a way to simplify this function but:

 $f(r)=(r-4)^{3}$

8 0

3 years ago

Read 2 more answers

Question on Statistics and Confidence Intervals

Digiron [165]

The phrasing "nine times out of ten" means 9/10 = 0.90 = 90% is the confidence level. We're confident 90% of the time that the confidence interval captures the population parameter we're after (in this case mu = population mean)

The portion "have an average score within 5% of 75%" means that 75% = 0.75 is the center of the confidence interval, and it goes as low as 0.75 - 0.05 = 0.70 and as high as 0.75 + 0.05 = 0.80

This confidence interval is from 70% to 80%, meaning that nine times out of ten, we're confident that the average score is between 70% and 80%

We write the confidence interval as (0.70, 0.80). It's common to use the notation (L, U) to indicate the lower (L) and upper (U) boundaries. You might see the notation in the form L < mu < U. If so, then it would be 0.70 < mu < 0.80; either way they mean the same thing.

The margin of error is 0.05 as its the 5% radius of the interval. It tells us how far the most distant score is from the center (75%)

=========================================

In summary, we have these answers

confidence level = 90%
margin of error = 5% = 0.05
confidence interval = (0.70, 0.80)
interpretation = We're 90% confident that the average exam score is between 0.70 and 0.80

4 0

2 years ago

A representative sample of oak trees in a forest shows the trees to have a

podryga [215]

Answer:

Step-by-step explanation:

3 0

2 years ago

(p.1).6 how do I solve it?

Rina8888 [55]

Answer:

Step-by-step explanation:

4 0

3 years ago

Find the perimeter of this question.

lilavasa [31]

Finding the perimeter with all known sides is very easy. All you need to do is add up all of the sides. In this case the answer is 58 in. Hope this helps!

3 0

3 years ago