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4 years ago

50 people were asked what sort of music the liked. 14 people said jazz what percentage is that?

Mathematics

2 answers:

Alexus [3.1K]4 years ago

6 0

28% of people said they liked jazz. 14 is 28% of 50.

sukhopar [10]4 years ago

5 0

50 ppl = 100%
1 ppl = 2 %
14 ppl = 14 * 2 % = 28 %

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First-order linear differential equations

kkurt [141]

Answer:

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

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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

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

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3 years ago

A scientist counts 25 bacteria present in a culture and finds that the number of bacteria tripled each hour. the function y=25•3

LUCKY_DIMON [66]

Answer: The answer is 3.5

Step-by-step explanation:

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Harlamova29_29 [7]

Answer:

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Step-by-step explanation:

To solve this expression, we can use PEMDAS or order of operations.

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Exponents

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Addition>Subtraction (See Multiplication>Division)

So First, lets solve the Parenthesis. -2/5=-.4

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Hope this helps!

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