All categories

3 years ago

Match each whole number with a rational, exponential expression. 1. 512 2. 8 3. 343 4. 216 5. 729 6.

Mathematics

1 answer:

Crazy boy [7]3 years ago

6 0

Answer:

1. 2^9 = 512

2. 2^3 = 8

3. 7^3 = 343

4. 6^3 = 216

5. 3^6 = 729

Step-by-step explanation:

To start we have to express the number as a multiplication of prime numbers, from there we can take the expression as a power

2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 = 512

2^9 = 512

2 x 2 x 2 = 8

2^3 = 8

7 x 7 x 7 = 343

7^3 = 343

6 x 6 x 6 = 216

6^3 = 216

3 x 3 x 3 x 3 x 3 x 3 = 729

3^6 = 729

You might be interested in

51/5=? In long division

valentina_108 [34]

Answer: 10.2

I hope that this helps! :3

8 0

3 years ago

Read 2 more answers

Find the measure of the missing angles

vovikov84 [41]

Answer:

∠c = 33°

∠b= 147°

Step-by-step explanation:

A line is 180°, and ∠c + 147° make up a linear pair.

180 - 147 = 33°

∠c is 33°.

∠b and 147° angle are vertical angles, meaning that they have the same angle measure.

∠b = 147°.

4 0

2 years ago

Use a given information to create equation for the rational function. The function is written in factored form to help see how t

Mars2501 [29]

Recall that a rational function:

$\frac{P(x)}{Q(x)},$

has a vertical asymptote at x₀ if and only if:

$Q(x_0)=0.$

Also, the roots of the above rational function are the same as P(x).

Since the rational function has a vertical asymptote at x=-1, we get that its denominator must be:

$Q(x)=x+1\text{.}$

Since the rational function has a double zero at x=2 we get that its numerator must be of the form:

$P(x)=k(x-2)(x-2)\text{.}$

Finally, since the rational function has y-intercept at (0,2) we get that:

$2=\frac{P(0)}{Q(0)}=\frac{k(0-2)(0-2)}{0+1}\text{.}$

Simplifying the above equation we get:

$\begin{gathered} \frac{k(-2)(-2)}{1}=2, \\ 4k=2. \end{gathered}$

Dividing the above equation by 4 we get:

$\begin{gathered} \frac{4k}{4}=\frac{2}{4}, \\ k=\frac{1}{2}\text{.} \end{gathered}$

Therefore, the rational function that satisfies the given conditions is:

$f(x)=\frac{\frac{1}{2}(x-2)(x-2)}{x+1}\text{.}$

Answer:

The numerator is:

$\frac{1}{2}(x-2)(x-2)$

The denominator is:

$(x+1)$

4 0

1 year ago

the frequency table shows the number of books some students read last summer. Based on the data in the table, which statement is

Whitepunk [10]

Answer:

A.) nine more girls read 6 or more than boys who read 6 or more books

Step-by-step explanation:

Let's examine the statements ...

a) 24 is 9 more than 15 . . . TRUE

b) 41 is 6 more than 36 . . . false

c) 32 is twice as many as 15 . . . false

d) 24 is twice as many as 48 . . . false

3 0

3 years ago

)A bag contains 10 marbles of the same size that are red, yellow, and orange. The probability of picking a red marble is 10%. Th

Cloud [144]

Answer:

Step-by-step explanation:

Its 30%:) because red is 10% and yellow is 60% and there's only 10 marbles which represent 100% so there's 6 yellow marbles and 1 red marble buts that's only 7 so there's 30% left which is 3 marbles left, which has to be orange so the answer is 30%:) hope this helped

5 0

3 years ago