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lana [24]
4 years ago
11

What -2x(2-6=30)^3 - 4

Mathematics
1 answer:
BlackZzzverrR [31]4 years ago
6 0
I think the answer to 2×(2-6=30)×3-4 is 176
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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
4 years ago
Mrs. Gomez is a mother to 2 boys. The number of children she has is three times the number of boys she has. Her children are pla
slava [35]
There are 6 children total, 4 of which are girls. The ratio is 2:1 girls:boys, so there will need to be twice as many pinks as there are blues. If we get 12 pinks, then there will be 6 blues. That's the biggest since that's all the pinks the florist has.
3 0
3 years ago
The diameter of a pearl is about 4 x 10-3cm and the diameter of an atom is about10-11m. How much larger than an atom is a pearl?
Ugo [173]

Answer:

  • D. 4 × 10⁶ times

Step-by-step explanation:

<u>The diameter of a pearl is </u>

  • 4 × 10⁻³cm = 4 × 10⁻⁵ m

<u>The diameter of an atom is</u>

  • 10⁻¹¹m

<u>How much larger than an atom is a pearl?</u>

  • 4 × 10⁻⁵ ÷ 10⁻¹¹ = 4 × 10⁻⁵⁺¹¹ = 4 × 10⁶ times

Correct option is D

5 0
3 years ago
Identify 2 objects you could find in a grocery store that hold less than 100 millimeters.
natka813 [3]
Toothpaste and food coloring
7 0
3 years ago
How much will you need to invest at 2.5% to have earned $900 in interest in 5 years
Evgen [1.6K]

Answer:

we need $7200 to earn $900 in 5 years.

Step-by-step explanation:

Simple Interest formula: \frac{PRT}{100} .......where p is principal, r is rate of interest, t is time

Using the formula:

\frac{p*2.5*5}{100} =900

{p*2.5*5} =900*100

12.5p =90000

p = 90000/12.5

p=7200

4 0
3 years ago
Read 2 more answers
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