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1 year ago

Calculate 0.05181 ÷ 3.14 and write your answer

Mathematics

1 answer:

balandron [24]1 year ago

5 0

Given:

0.05181 ÷ 3.14 = 0.0165

i) 0.02

ii) 0.016

iii) 0.0165

<h3>What is a mathematical expression ?</h3>

In mathematics, an expression or mathematical expression is a finite combination of symbols well formed according to context-dependent rules. Mathematical symbols can be used to define numbers (constants), variables, operators, functions, parentheses, punctuation marks, and groupings that help define the order of operations and other aspects of logical syntax.

Many authors distinguish between an expression and a formula, the first meaning a mathematical object and the second a statement about mathematical objects.

To learn more about mathematical expression, visit;

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This helicopter has a rotor that moves at a rate of 600 spins per minute while flying. Which statement is supported by this info

jeka57 [31]

Answer: d. The helicopter rotor will spin 36,000 times in 1 hour

Step-by-step explanation:

Option A is wrong because in 40 minutes the rotor will spin:

= 40 * 600

= 24,000 times

Option B is wrong because we cannot know the number of times the rotor will spin before being lifted off of the ground with the details given.

Option C is wrong because in 3 hours the rotor will spin:

= 600 * 3 * 60 minutes

= 108,000 times

Option D is correct because in 1 hour the rotor will spin:

= 600 * 1 * 60 mins

= 36,000 times

5 0

3 years ago

The population of a certain community is known to increase at a rate proportional to the number of people present at time t. If

attashe74 [19]

Answer:

$t=7.85 years$

Step-by-step explanation:

We can write this rate as an ordinary differential equation.

$\frac{dP}{dt}=aP$

Where a is proportional constant, P the population variable, and t the time.

$\frac{dP}{P}=adt$

Integrating each side of the equation.

$\int \frac{dP}{P}=\int adt$

$ln(P)=at+c$

$P=e^{at+c}$

$P=e^{c}e^{at}=Ce^{at}$

To find C we need to use the initial condiction, it means evaluae P at t=0.

$P_{0}=Ce^{0}=C$

$P=P_{0}e^{at}$

Now, we use the sentence the population has doubled in 5 years.

$2P_{0}=P_{0}e^{a5}$

We can find "a" in this condition.

$2=e^{a5}$

$ln(2)=a5$

$a=\frac{ln(2)}{5}$

$a=0.14$

Finally, let's find how long will it take to triple.

$3P_{0}=P_{0}e^{0.14t}$

$3=e^{0.14t}$

$t=\frac{ln(3)}{0.14}$

$t=7.85 years$

I hope it helps you!

4 0

2 years ago

An online data base charges $25 an hour during the day and $12.50 an hour at night. If a research company paid $250 for 12 hours

Firdavs [7]

Answer

Find out the which system of equations could be used to determine the number of hours charged at the day rate (d) and at the night rate (n) .

To proof

As given in the question

Let us assume that the number of hours charged at the day rate = d

Let us assume that the number of hours charged at the night rate = n

An online data base charges $25 an hour during the day and $12.50 an hour at night. If a research company paid $250 for 12 hours of use.

Total working hour in a company including day and night be 12 hours .

than the equation become in the form

d + n = 12

also

An online data base charges $25 an hour during the day

$12.50 an hour at night.

If a research company paid $250 for 12 hours of use.

than the equation becomes

25d + 12.50n = 250

than the two equation are

d + n = 12 , 25d + 12.50n = 250

multiply first by 25 and subtracted from 25d + 12.50n = 250

25d - 25d + 12.50n - 25n = 250 - 300

12.5 n = 50

$n = \frac{50}{12.5}$

n = 4hours

put this in the d + n = 12

d + 4 =12

d = 12-4

d = 8 hours

Therefore the number of hours charged at the day rate is 8 hours and at the night rate is 4hours .

Hence proved

4 0

3 years ago

What the median of 17, 24, 8, 19, 6, 34, 10, 28, 48, 12<br>

BartSMP [9]

The median is 48 because it is the biggest number and the biggest number is the median

4 0

3 years ago

Using the results from parts D through G, write an expression that represents the number of years elapsed between the disappeara

nlexa [21]

The mathematical expression to represent the number of years elapsed since the disappearance of Helike until the end of the American Civil War is:

T (years from Helike's disappearance to the end of the Civil War) = w + 373

To reach this conclusion we had to search for additional information and found that the year of the disappearance of the Greek city of Helike is -⅕ times the year the American Civil War ended.

Helike's disappearance year = (-w / 5)

According to the previous expression, the year of Helike's disappearance is:

Helike's disappearance year = (-1865/5) = -373

According to the previous data, it can be inferred that the expression that represents the number of years elapsed between the disappearance of the Greek city of Helike and the end of the US Civil War is:

T = w + 373
T = 1865 + 373
T = 2238

Note: This question is incomplete because the is some information missing. However, I can answer it based on my prior knowledge.

Learn more about Civil War in: brainly.com/question/14234520

3 0

3 years ago