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3 years ago

Randomly picking a white card from a bag containing all red cards

Mathematics

2 answers:

alexgriva [62]3 years ago

8 0

What is it ??????????????

ra1l [238]3 years ago

3 0

What are the chances?

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The image of the point (-8, 3) under a translation is (-5,2). Find the coordinates

miss Akunina [59]

Answer:

IMAGE=OBJECT +TRANSLATION

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3 years 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 value of the 8th term of the sequence 4, 8, 16, 32, ...?

vladimir1956 [14]

Answer:

512

Step-by-step explanation:

The sequence is doing the number times 2, so 4 times 2 equals 8,

8 x 2 = 16, ect

If you do this enough, you will get 512 as the 8th term.

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2 years ago

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the length of a varies string varies inversely as the frequency of its vibrations. A violin string 10 inches long vibrates at a

kolbaska11 [484]

Answer: 512

Step-by-step explanation: the length of a varies string varies inversely as the frequency of its vibrations. A violin string 10 inches long vibrates at a frequency of 512 cycles per second. Find the frequency of an 8-inch string.

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3 years ago

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A good friend of yours

KATRIN_1 [288]

Sorry i have learnt it but i can remember how to do it

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3 years ago