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KATRIN_1 [288]
2 years ago
9

Fing the LCM of 54 and 81

Mathematics
2 answers:
mina [271]2 years ago
5 0
The lcm of 54 and 81 is the smallest positive integer that divides the numbers 54 and 81 without a remainder. Spelled out, it is the least common multiple of 54 and 81
Lilit [14]2 years ago
5 0

Step-by-step explanation:

Factor of 54

= 2 \times 3 \times 3 \times 3

Factor of 81

= 3 \times 3 \times 3 \times 3

Now ...

Common factor = 3 × 3 × 3

= 27

LCM = common factor × remaining factors..

= 27 × 2 × 3

= 162

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bixtya [17]

Using an exponential function, it is found that f(5.5) = 19.8.

<h3>What is an exponential function?</h3>

An exponential function is a function in which the growth rate is a percentage, modeled by:

y = ab^x

In which:

  • a is the initial value.
  • b is the rate of change.

f(3.5) = 25 means that:

ab^{3.5} = 25

a = \frac{25}{b^{3.5}}

f(8.5) = 14 means that:

ab^{8.5} = 14

Hence:

\frac{25}{b^{3.5}} \times b^{8.5} = 14

25b^5 = 14

b = \sqrt[5]{\frac{14}{25}}

b = 0.89

a = \frac{25}{0.89^{3.5}} = 37.59

Hence, the function is given by:

y = 37.59(0.89)^x

Then, when x = 5.5:

f(5.5) = 37.59(0.89)^{5.5} = 19.8

More can be learned about exponential functions at brainly.com/question/25537936

7 0
2 years ago
Mrs. Lobo earns a salary of $50,000 per year plus a 4% commission on her sales. The average price of a share
dem82 [27]

Answer:

a) 50,000 + 2x > 70,000

Step-by-step explanation:

Mrs. Lobo has an annual salary of $50000 per year plus 4% commission on her sales.

If she makes $y commission from sales, Mrs Lobo total income per year is:

$50000 + $y.

She makes 4% commission on her sales of share with the average price of a share = $50

Average commission from sales = 4% × $50 = 0.04 × 50 = $2

If she sales x shares in a year, her commission would be $2x for the year. Therefore her total income for that year would be:

50000 + 2x

The amount of shares Mrs Lobbo must sell to make an annual income of at

least $70,000 is given by the inequality:

50,000 + 2x > 70,000

8 0
3 years ago
What is the measure of
Anna007 [38]
It’s A trust me I just did it
8 0
3 years ago
if a chocolate cake is divided into six equal and each has 280 calories, how many calories are in the whole cake
Contact [7]

Answer:

1680

Step-by-step explanation:

280 x 6 = 1680

3 0
3 years ago
At what rate is a car traveling, if it goes 157.5 miles in 2.5 hours?
elena-s [515]

Answer:

63

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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