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3 years ago

Express 17.5m in dm,cm,dam,mm,hm,km

Mathematics

2 answers:

Len [333]3 years ago

4 0

Answer:

17.5 metres

175 decimetres

1750 centimetres

17500 millimetres

1.75 decametres

0.175 hectometre

0.0175 kilometre

Hope it helps,

Pls mark as brainliest answer...

Step-by-step explanation:

Brilliant_brown [7]3 years ago

3 0

Answer:

17.5 meters (m) is equal to:

.0175 kilometers (km)

.175 hectometers (hm)

1.75 decameters (dam)

175 decimeters (dm)

1750 centimeters (cm)

17500 millimeters (mm)

Step-by-step explanation:

One kilometer is equal to 1000 meters, so

$\frac{17.5}{1000} = .0175$

kilometers.

One hectometer is equal to 100 meters, so

$\frac{17.5}{100} = .175$

hectometers.

One decameter is equal to 10 meters, so

$\frac{17.5}{10} = 1.75$

decameters.

One decimeter is equal to .1 (or 1/10 of a) meter, so

$\frac{17.5}{.1} = 175$

decimeters.

One centimeter is equal to .01 (or 1/100 of a) meter, so

$\frac{17.5}{.01} = 1750$

centimeters.

One millimeter is equal to .001 (or 1/1000 of a) meter, so

$\frac{17.5}{.001} = 17500$

millimeters.

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LenaWriter [7]

Answer:

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Step-by-step explanation:

4 0

3 years ago

Solving separable differential equation DY over DX equals xy+3x-y-3/xy-2x+4y-8

Ivanshal [37]

It looks like the differential equation is

$\dfrac{dy}{dx} = \dfrac{xy + 3x - y - 3}{xy - 2x + 4y - 8}$

Factorize the right side by grouping.

$xy + 3x - y - 3 = x (y + 3) - (y + 3) = (x - 1) (y + 3)$

$xy - 2x + 4y - 8 = x (y - 2) + 4 (y - 2) = (x + 4) (y - 2)$

Now we can separate variables as

$\dfrac{dy}{dx} = \dfrac{(x-1)(y+3)}{(x+4)(y-2)} \implies \dfrac{y-2}{y+3} \, dy = \dfrac{x-1}{x+4} \, dx$

Integrate both sides.

$\displaystyle \int \frac{y-2}{y+3} \, dy = \int \frac{x-1}{x+4} \, dx$

$\displaystyle \int \left(1 - \frac5{y+3}\right) \, dy = \int \left(1 - \frac5{x + 4}\right) \, dx$

$\implies \boxed{y - 5 \ln|y + 3| = x - 5 \ln|x + 4| + C}$

You could go on to solve for $y$ explicitly as a function of $x$ , but that involves a special function called the "product logarithm" or "Lambert W" function, which is probably beyond your scope.

8 0

2 years ago

Use inductive reasoning to describe the pattern. Then find the next two numbers in the pattern. 1, 4, 7, 10, . . .

Kisachek [45]

Option a: add 3 to the previous term; 13, 16

Explanation:

The sequence is 1, 4, 7, 10, ....

We need to determine the next two terms of the sequence.

Hence to find the next two terms, first we shall find the common difference between every two terms.

Common difference between 1 and 4 = $4-1=3$

Similarly, common difference between 4 and 7 = $7-4=3$

Common difference between 7 and 10 = $10-7=3$

Hence, the common difference is 3.

So, the next two terms will also have the same common difference 3.

To determine the next two terms, first we shall add 3 to the term 10, we get,

$10+3=13$

Similarly, adding 3 to the term 13, we get,

$13+3=16$

Thus, the sequence is 1, 4, 7, 10, 13, 16, .....

Thus, add 3 to the previous term; 13, 16

Hence, option a is the correct answer.

6 0

3 years ago

There are six children in a family. Five of them are respectively 2, 6, 8, 12 and 14 years older than the youngest, and the age

german

The youngest is 5 years old

Step-by-step explanation:

The prime numbers are the numbers that have only two factors

1 and itself

Example: 2, 3, 5, 7, 11, 13, 17, 19, 23, .......

There are six children in a family

Five of them are respectively 2, 6, 8, 12 and 14 years older than the youngest
The age of each child is a prime number

We need to find the age of the youngest

Assume that the age of the youngest is x years old

∵ The age of the youngest is x years old

∵ The ages of other children are respectively 2, 6, 8, 12 and 14 years

older than the youngest

∴ The ages of other children are respectively

→ x + 2

→ x + 6

→ x + 8

→ x + 12

→ x + 14

∵ The age of each child is a prime number

- Let us chose x from the list of the prime number above to find the

correct x which makes all the ages are prime

If x = 2

∵ x + 2 = 2 + 2 = 4 ⇒ not prime

∴ x can not be 2

If x = 3

∵ x + 2 = 3 + 2 = 5 ⇒ prime

∵ x + 6 = 3+ 6 = 9 ⇒ not prime

∴ x can not be 3

If x = 5

∵ x + 2 = 5 + 2 = 7 ⇒ prime

∵ x + 6 = 5 + 6 = 11 ⇒ prime

∵ x + 8 = 5 + 8 = 13 ⇒ prime

∵ x + 12 = 5 + 12 = 17 ⇒ prime

∵ x + 14 = 5 + 14 = 19 ⇒ prime

∴ x can be 5

∵ The ages of the children are 5 , 7 , 11 , 13 , 17 , 19

∵ All the ages are prime numbers

∴ The age of the youngest is 5 years

The youngest is 5 years old

Learn more:

You can learn more about prime numbers in brainly.com/question/4550858

#LearnwithBrainly

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3 years ago

Read 2 more answers

If you deposit $12,500 in an account that pays 4.5% interest quarterly, what is the balance after 8 years? How much did the acco

Masja [62]

In order to determine the balance of the account, use the following formula for the amount of money obtained after t years, basen on a compound interest:

$A=P(1+\frac{r}{n})^{nt}$

where,

P: principal = $12,500

A: amount earnt after t years = ?

r: interest rate in decimal form = 0.045 (4.5%)

n: times at year for the compund interes = 4 (quaterly)

Replace the previous values of the parameters into the formula for A and simplify:

$\begin{gathered} A=12,500(1+\frac{0.045}{4})^{4\cdot8} \\ A=12,500(1+0.01125)^{32} \\ A=12,500(1.01125)^{32} \\ A=12,500(1.430451402) \\ A\approx17,880.64 \end{gathered}$

Hence, the balance after 8 years is approximately $17,880.64 in the account.

The interest earnt by the account is given by the difference between the previous result and the principal invesment:

I = $17,880.64 - $12,500 = $5,380.64

Hence, the interest earnt is $5,380.64

3 0

1 year ago