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4 years ago

12

How to convert 5/10 into a fraction into a decimal

2 answers:

Triss [41]4 years ago

8 0

Well whenever you have a number over 10 the answer is always going to be one place to the right of the decimal point. In this case it would be 0.5. Hope this helps.

vekshin14 years ago

5 0

Just divide 5 by 10, giving you 0.5.

Hope I helped :)

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HelPpPppP plEasEeEEeeEeEeEeEeEEEeE

Vika [28.1K]

1. This answer would be C, n^3 + 5
2. This answer would be D, n^3 + 9
3. This answer would be A, 4n - 11

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3 years ago

When constructing an equilateral triangle by hand, which step comes after constructing a circle?

KonstantinChe [14]

Answer:

set compass to the radius of the circle

Step-by-step explanation: when constructing an equilateral triangle by hand . circle constructing by set compass to the radius of the circle and rotate it and come to the initial point

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3 years ago

Read 2 more answers

Write down the explicit solution for each of the following: a) x’=t–sin(t); x(0)=1

Kay [80]

Answer:

a) x=(t^2)/2+cos(t), b) x=2+3e^(-2t), c) x=(1/2)sin(2t)

Step-by-step explanation:

Let's solve by separating variables:

$x'=\frac{dx}{dt}$

a) x’=t–sin(t), x(0)=1

$dx=(t-sint)dt$

Apply integral both sides:

$\int {} \, dx=\int {(t-sint)} \, dt\\\\x=\frac{t^2}{2}+cost +k$

where k is a constant due to integration. With x(0)=1, substitute:

$1=0+cos0+k\\\\1=1+k\\k=0$

Finally:

$x=\frac{t^2}{2} +cos(t)$

b) x’+2x=4; x(0)=5

$dx=(4-2x)dt\\\\\frac{dx}{4-2x}=dt \\\\\int {\frac{dx}{4-2x}}= \int {dt}\\$

Completing the integral:

$-\frac{1}{2} \int{\frac{(-2)dx}{4-2x}}= \int {dt}$

Solving the operator:

$-\frac{1}{2}ln(4-2x)=t+k$

Using algebra, it becomes explicit:

$x=2+ke^{-2t}$

With x(0)=5, substitute:

$5=2+ke^{-2(0)}=2+k(1)\\\\k=3$

Finally:

$x=2+3e^{-2t}$

c) x’’+4x=0; x(0)=0; x’(0)=1

Let $x=e^{mt}$ be the solution for the equation, then:

$x'=me^{mt}\\x''=m^{2}e^{mt}$

Substituting these equations in <em>c)</em>

$m^{2}e^{mt}+4(e^{mt})=0\\\\m^{2}+4=0\\\\m^{2}=-4\\\\m=2i$

This becomes the solution <em>m=α±βi</em> where <em>α=0</em> and <em>β=2</em>

$x=e^{\alpha t}[Asin\beta t+Bcos\beta t]\\\\x=e^{0}[Asin((2)t)+Bcos((2)t)]\\\\x=Asin((2)t)+Bcos((2)t)$

Where <em>A</em> and <em>B</em> are constants. With x(0)=0; x’(0)=1:

$x=Asin(2t)+Bcos(2t)\\\\x'=2Acos(2t)-2Bsin(2t)\\\\0=Asin(2(0))+Bcos(2(0))\\\\0=0+B(1)\\\\B=0\\\\1=2Acos(2(0))\\\\1=2A\\\\A=\frac{1}{2}$

Finally:

$x=\frac{1}{2} sin(2t)$

7 0

4 years ago

Find this expression in square form with process pls help me !!!!

alekssr [168]

Answer:

(p -3q )(p -3q )

Step-by-step explanation:

p'2 - 6pq + 9q'2

(p -3q )(p -3q )

find two values that add to give 6 and multiply to 9

p x p =p'2

-3q x p = -3pq -3 x pq = -3pq ...... -3pq - 3pq = -6pq

-3q x - 3q = 9q'2

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2 years ago

A bowl contains 675 sweets which are coloured either red, blue or green. The ratio of red sweets to blue sweets is 3:7 The ratio

dmitriy555 [2]

Answer:

252 blue sweets.

7 0

3 years ago