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3 years ago

Is 1/11 rational or irrational

2 answers:

7 0

Rational since 1 divided by 11 is 0.090909090, which means it is a repeating decimal. It could also be converted into a fraction, making it rational.

pishuonlain [190]3 years ago

6 0

The answer is irrational

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This is my last question please help asap!!

Ivanshal [37]

The average rate of change of function $g(x)=5(2)^{x}$ from x = 3 to x = 4 is 4 times that from x = 1 to x = 2.

The correct option is (A).

What is the average rate of change of a function?

The average rate at which one quantity changes in relation to another's change is referred to as the average rate of change function.

Using function notation, we can define the Average Rate of Change of a function f from a to b as:

$rate(m) = \frac{f(b)-f(a)}{b-a}$

The given function is $g(x) = 5(2)^{x}$ ,

Now calculating the average rate of change of function from x = 1 to x = 2.

$m = \frac{g(b)-g(a)}{b-a}\\ m = \frac{g(2)-g(1)}{2-1}\\\\m=\frac{5(2)^{2}-5(2)^1}{2-1}\\ m=\frac{10}{1} \\m=10$

Now, calculate the average rate of change of function from x = 3 to x = 4.

$m = \frac{g(b)-g(a)}{b-a}\\ m = \frac{g(4)-g(3)}{4-3}\\\\m=\frac{5(2)^{4}-5(2)^3}{4-3}\\ m=\frac{40}{1} \\m=40$

The jump from m = 10 to m = 40 is "times 4".

So option (A) is correct.

Hence, The average rate of change of function $g(x)=5(2)^{x}$ from x = 3 to x = 4 is 4 times that from x = 1 to x = 2.

To learn more about the average rate of change of function, visit:

brainly.com/question/24313700

#SPJ1

7 0

1 year ago

A particular automatic sprinkler system has two different types of activation devices for each 3 sprinkler head. One type has a

zmey [24]

Answer:

There is an 85% probability that the sprinkler head will be activated.

Step-by-step explanation:

We have these following probabilities:

50% of the first sprinkler being triggered

90% of the first sprinkler being reliable

50% of the second sprinkler being triggered

80% of the second sprinkler being reliable.

What is the probability that the sprinkler head will be activated?

$P = P_{1} + P_{2}$

$P_{1}$ is the probability of the first sprinkler being triggered and activated. So:

$P_{1} = 0.5*0.9 = 0.45$

$P_{2}$ is the probability of the second sprinkler being triggered and activated. So:

$P_{2} = 0.5*0.8 = 0.40$

$P = P_{1} + P_{2} = 0.40 + 0.45 = 0.85$

There is an 85% probability that the sprinkler head will be activated.

6 0

3 years ago

Lady_Fox [76]

Answer:

Choice A

Step-by-step explanation:

Use the F. O. L. D method while solving

4 0

3 years ago

NEED HELP ASAP PLEASE

olga nikolaevna [1]

Answers:

interest = $75
balance at maturity = $3075

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

Explanation:

The simple interest formula is

i = p*r*t

where in this case,

p = 3000 = principal (amount deposited)
r = 0.10 = annual interest rate in decimal form
t = 3/12 = 0.25 = number of years

So,

i = p*r*t

i = 3000*0.10*0.25

i = 75 is the amount of interest earned

This adds onto the initial deposit to get the final balance when the CD matures (ie when you're able to withdraw the money without penalties)

The balance at maturity is p+i = 3000+75 = 3075 dollars

---------------

In short, you deposit $3000 into the CD and have to wait 3 months for the amount to update to $3075.

7 0

3 years ago

What is the answer to 18×524

adoni [48]

Tha answer for the problem is 9,432

4 0

2 years ago