All categories

3 years ago

2^3 x 2^n = 2^9 Work out the value of n

2 answers:

8 0

$2^{3} + 2^{n} = 2^{9}$
$8 + 2^{n} = 512$
$- 8$ $- 8$
------------------------------
$2^{n}) = 504$
$ln(2^{x}) = ln(504)$
$xln(2) = ln(504)$
$x = \frac{ln(504)}{ln(2)}$

Tanzania [10]3 years ago

6 0

Divide both sides by 2³. Remember, when dividing exponent terms with the same base, you subtract the exponents.

You're then left with $2^{n}$ = $2^{6}$

Therefore, n = 6

You might be interested in

Please help! geometry probabilities

Sladkaya [172]

You have -4,-3,-2, that is a 3 out of a total of 21 points or numbers on the number line. 3/21 is reduces to 1/7.
3 goes into 21 , 7 times. That is why it reduces to 1/7.

6 0

3 years ago

There are 9 athletes on a tennis team. At a photoshoot, 7 of the athletes need to be chosen and arranged in the front row. In ho

Deffense [45]

This can be done 63 different ways

6 0

3 years ago

Read 2 more answers

nikitadnepr [17]

Considering the given discrete probability distribution, it is found that the expected share is of 10%.

<h3>What is the mean of a discrete distribution?</h3>

The expected value of a discrete distribution is given by the <u>sum of each outcome multiplied by it's respective probability</u>.

In this problem, the distribution is given by:

P(X = 0.05) = 0.2.

P(X = 0.1) = 0.6.

P(X = 0.15) = 0.2.

Hence the expected value is given by:

E(X) = 0.2 x 0.05 + 0.6 x 0.1 + 0.2 x 0.15 = 0.1 = 10%.

The expected share is of 10%.

More can be learned about the expected value of a discrete distribution at brainly.com/question/24802582

#SPJ1

6 0

2 years ago

A store was keeping track of how many bottles of hand sanitizer and soap bars were sold last week. A bottle of hand sanitizer co

agasfer [191]

Answer:

Hand sanitizer=135 bottles

Bar soap=83 bottles

Step-by-step explanation:

Let x represent the hand sanitizer and y the sop.

-Our problem can be expressed as:

$x+y=218\ \ \ \ \ ...i\\\\4.25x+2.15y=752.20\ \ \ \ \ ...ii$

#Make x the subject in i then substitute in ii to solve;

$x=218-y\\\\\therefore 4.25(218-y)+2.15y=752.20\\\\926.5-4.25y+2.15y=752.20\\\\174.3=2.1y\\\\y=83\\\\x=218-83=135$

Hence, 135 bottles of hand sanitizer and 83 bottles of bar soap were sold.

5 0

3 years ago

Which of the following is an equivalent form of the compound inequality −22 > −5x − 7 ≥ −33?

alexgriva [62]

An equivalent form of the compound inequality −22 > −5x − 7 ≥ −33 will be −5x − 7 > −22 and −5x − 7 ≥ −33

<h3>Compound inequality</h3>

A compound inequality (or combined inequality ) is two or more inequalities joined together with inequality operations.

Given the compound inequality −22 > −5x − 7 ≥ −33, this can also be splitted into;

−22 > −5x − 7 and −5x − 7 ≥ −33,

The inequality expression −22 > −5x − 7 is also expressed as −5x − 7 > -22. Hence an equivalent form of the compound inequality −22 > −5x − 7 ≥ −33 will be −5x − 7 > −22 and −5x − 7 ≥ −33

Learn more on compound inequality here: brainly.com/question/1485879

#SPJ1

3 0

1 year ago