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2 years ago

Is the statement “ for a set of whole numbers, the longest numeral will belong to the largest number” true or false? Why?

Mathematics

1 answer:

IRISSAK [1]2 years ago

5 0

Numerals are symbols and figures that are used to denote or represent numbers.

It is false that “for a set of whole numbers, the longest numeral will belong to the largest number”

<h3>How to determine the true statement</h3>

The length of a numeral does not determine the value of the number,

The above statement means that

The whole number with the longest numeral in a set may or may not be the largest.

Take for instance the numbers 8 and 9.

In Roman numerals,

8 is represented with VIII and 9 is represented with IX

The numeral VIII is longer than the numeral IX, but IX is greater than VIII

Hence, the statement is false

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The population of a city grows exponentially at rate of 8% per year.Find the number of years it takes for the population to be d

Ilya [14]

Answer:

<em>It will take 9 years for the population to double</em>

Step-by-step explanation:

<u>Exponential Growth </u>

The natural growth of some magnitudes can be modeled by the equation:

$P=P_o(1+r)^t$

Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.

The population of a city grows at a rate of r=8% = 0.08 per year. We are required to find when (t) the population will double, or P=2Po.

Substituting in the equation:

$2P_o=P_o(1+0.08)^t$

Simplifying:

$2=(1.08)^t$

Taking logarithms:

$\log 2=\log (1.08)^t$

Applying the exponent property of logs:

$\log 2=t\log (1.08)$

Solving for t:

$\displaystyle t=\frac{\log 2}{\log (1.08)}$

Calculating:

$t\approx 9$

It will take 9 years for the population to double

8 0

2 years ago

Can somone answer this

Sunny_sXe [5.5K]

Answer:

$618

Step-by-step explanation:

$1854 divided by 18 months = $103 per month

$103 x 12 months = $1236 paid in one year.

$1854originally owed - $1236 paid in a year = $618 still owed after one year of payments.

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2 years ago

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To get from the post office to the library, Sindy walked due north and then due east. The distance Sindy walked east is 20 meter

kaheart [24]

A. x∧2+(x+20∧2=150∧2 is correct.

because you need to plug the numbers into the pathagoreum theorum which is
a∧2+b∧2=c∧2

150 is our c because it is the side right accross from the right angle.

which number is a and which number is b does not matter.

x is the distance north so we can assign that to a and the distace east is north plus 20 so we can assign b to x+20.

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3 years ago

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kali has a 6 centimeter ladder and puts the base of the ladder 2 meters away from the tree how high into the tree will the lader

weqwewe [10]

I am going to assume ‘centimetre’ was a typo.

A^2 + B^2 = C^2

C^2 - A^2 = B^2

32 = B^2

Square root both sides

B = 5.7m high

The ladder will reach 5.7 meters high

5 0

3 years ago

(a): How many miles does the train travel per gallon?<br> (b):What is the slope of the graph?

drek231 [11]

since the graph has direct variation as data in x axis increases y also increases.

so we need to find how many miles travelled per galloon .

we distance travelled per gallon =total distance travelled/galoons of fuel used.

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