All categories

3 years ago

Is 13.654 ratinal or irratinal?

Mathematics

2 answers:

Airida [17]3 years ago

4 0

Answer:

rational

Step-by-step explanation:

Leona [35]3 years ago

3 0

Answer:

it is rational

You might be interested in

Identify the sequence graphed below and the average rate of change from n = 1 to n = 3.

dsp73

Answer:

The required sequence is $a_n=20(\frac{1}{2})^{n-1}$ . The average rate of change from n = 1 to n = 3 is -7.5.

Step-by-step explanation:

From the given graph it is clear that the sequence is a GP because the all terms are half of their previous terms.

Here, $a_2=10,a_3=5,a_4=2.5,a_5=1.25$

$r=\frac{a_3}{a_2}=\frac{5}{10}=\frac{1}{2}$

The common ratio of GP is 1/2.

$r=\frac{a_2}{a_1}$

$\frac{1}{2}=\frac{10}{a_1}$

$a_1=20$

The first term of the sequence is 20.

The formula for sequence is

$a_n=a(r)^{n-1}$

Where a is first term and r is common difference.

The required sequence is

$a_n=20(\frac{1}{2})^{n-1}$

The formula for rate of change is

$m=\frac{f(x_2)-f(x_1)}{x_2-x_1}$

The average rate of change from n = 1 to n = 3 is

$m=\frac{f(3)-f(1)}{3-1}$

$m=\frac{5-20}{3-1}$

$m=\frac{-15}{2}=-7.5$

Therefore the required sequence is $a_n=20(\frac{1}{2})^{n-1}$ . The average rate of change from n = 1 to n = 3 is -7.5.

8 0

3 years ago

Read 2 more answers

In CT the sales TAX on items purchased is 6.35% what would the tax be if you went to CVS and purchased the following items: Toot

bulgar [2K]

Answer:$2.65

Step-by-step explanation: enjoy

4 0

3 years ago

How much paint does Brielle need to finish her room

KATRIN_1 [288]

Answer:

Paint Needed = 1.25 gallons = It means 1 gallon and 1 quart of paint is needed to paint the Briellie's room.

Step-by-step explanation:

As, this question is incomplete, so we will create similar question and complete it. '

Let's suppose Brielle's room has following dimensions:

Length of two walls = 10 ft

Length of other two walls = 12 ft

Height of the room from bottom to ceiling = 10 ft

In order to calculate the amount of paint needed, we need to calculate the surface area of the room to be painted.

So, for that, add all the lengths together and multiply it by height of the room.

SF = (L1 +L2 +L3+ L4) x H

SF = (10 + 10 + 12 + 12) x (10)

SF = 440 sq.ft = Actual footage of the room to be painted.

Now, we have convert this number in gallons to know the amount of paint required to paint Brielle's room. For this, we need to divide our SF to 350 sq.ft per gallon.

Paint Needed = 440 sq.ft / 350 sq.ft per gallon

Paint Needed = 1.25 gallons = It means 1 gallon and 1 quart of paint is needed to paint the Briellie's room.

4 0

3 years ago

Ashley will tend a car for the weekend.she can choose one of two plans.the first plan has an initial fee of $49.96 and cost an a

Rom4ik [11]

First, you multiply $55.96 by $0.12 and you get $6.7152. Then, multiply $49.96 by $0.14 and you get $6.9944. If you subtract $69944-$6.7152 you get your answer which is $0.2792.

5 0

3 years ago

Pablo graphs a system of equations. One equation is quadratic and the other equation is linear. What is the greatest number of p

Nady [450]

For this case we have the following type of equations:
Quadratic equation:
$y = ax ^ 2 + bx + c
$
Linear equation:
$y = mx + b
$
We observe that when equating the equations we have:
$ax ^ 2 + bx + c = mx + b
$
Rewriting we have:
$ax ^ 2 + (b-m) x + (c-b) = 0
$
We obtain a polynomial of second degree, therefore, the maximum number of solutions that we can obtain is 2.
Answer:
The greatest number of possible solutions to this system is:
c.2

7 0

3 years ago

Read 2 more answers