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2 years ago

18\5 as a mixed fraction in its simplest form please

Mathematics

1 answer:

shtirl [24]2 years ago

7 0

Answer:

3 ³/5

Step-by-step explanation:

18/5 = ( 3×5=15 remaining 3)

= 3 ³/5

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4) A jet travels 450 miles in 2 hours. At this rate, how far could the jet fly in

hram777 [196]

3150 miles in 14 hrs

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1 year ago

First-order linear differential equations

kkurt [141]

Answer:

$(1)\ logy\ =\ -sint\ +\ c$

$(2)\ log(y+\dfrac{1}{2})\ =\ t^2\ +\ c$

Step-by-step explanation:

1. Given differential equation is

$\dfrac{dy}{dt}+ycost = 0$

$=>\ \dfrac{dy}{dt}\ =\ -ycost$

$=>\ \dfrac{dy}{y}\ =\ -cost dt$

On integrating both sides, we will have

$\int{\dfrac{dy}{y}}\ =\ \int{-cost\ dt}$

$=>\ logy\ =\ -sint\ +\ c$

Hence, the solution of given differential equation can be given by

$logy\ =\ -sint\ +\ c.$

2. Given differential equation,

$\dfrac{dy}{dt}\ -\ 2ty\ =\ t$

$=>\ \dfrac{dy}{dt}\ =\ t\ +\ 2ty$

$=>\ \dfrac{dy}{dt}\ =\ 2t(y+\dfrac{1}{2})$

$=>\ \dfrac{dy}{(y+\dfrac{1}{2})}\ =\ 2t dt$

On integrating both sides, we will have

$\int{\dfrac{dy}{(y+\dfrac{1}{2})}}\ =\ \int{2t dt}$

$=>\ log(y+\dfrac{1}{2})\ =\ 2.\dfrac{t^2}{2}\ + c$

$=>\ log(y+\dfrac{1}{2})\ =\ t^2\ +\ c$

Hence, the solution of given differential equation is

$log(y+\dfrac{1}{2})\ =\ t^2\ +\ c$

8 0

3 years ago

What is the product?<br> 3x[-6 -14 -11 -9]

suter [353]

Answer:120

Step-by-step explanation:

calculate the sum of the negetive numbers 3x-40

=120

8 0

2 years ago

Can someone please help me????

azamat

Does the rate of change equal for each.
take the output difference and divide by the input distance
1st -5/10 = -1/2
2nd -1/2
3rd -5/10.= -1/2

3 0

2 years ago

How do you rewrite the sum of 60 + 90 as the product of the GCF of the two numbers and a sum

Xelga [282]

Sixty more than ninety times two multiply by x

4 0

2 years ago