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3 years ago

Write 0.18 in the standard form

Mathematics

2 answers:

matrenka [14]3 years ago

4 0

The correct answer should be 1.8 . 10^-1

salantis [7]3 years ago

3 0

Hello there!

Standard form is used for large or small numbers. It is between 1 and 10 times 10 to the power of something.
In this case, your answer is 1.8 x $10^{-1}$ .

Hope This Helps You!
Good Luck :)

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(6x-5y+4)dy+(y-2x-1)dx=0

Len [333]

(6x - 5y + 4) dy + (y - 2x - 1) dx = 0

(6x - 5y + 4) dy = (2x - y + 1) dx

dy/dx = (2x - y + 1) / (6x - 5y + 4)

Let X = x - a and Y = y - b. We want to find constants a and b such that

dY/dX = (a rational function)

where the numerator and denominator on the right side are free of constant terms. Substituting x and y in the equation, we have

dY/dX = (2 (X + a) - (Y + b) + 1) / (6 (X + a) - 5 (Y + b) + 4)

dY/dX = (2X - Y + 2a - b + 1) / (6X - 5Y + 6a - 5b + 4)

Then we solve for a and b in the system,

2a - b + 1 = 0

6a - 5b + 4 = 0

==> a = -1/4 and b = 1/2

With these constants, the equation reduces to

dY/dX = (2X - Y) / (6X - 5Y)

Now substitute Y = VX and dY/dX = X dV/dX + V :

X dV/dX + V = (2X - VX) / (6X - 5VX)

The equation becomes separable after some simplification:

X dV/dX + V = (2 - V) / (6 - 5V)

X dV/dX = (2 - V) / (6 - 5V) - V

X dV/dX = (2 - V - (6 - 5V)) / (6 - 5V)

X dV/dX = (4V - 4) / (6 - 5V)

- (5V - 6) / (4V - 4) dV = 1/X dX

Integrate both sides:

-5/4 V + 1/4 ln|4V - 4| = ln|X| + C

Extract a constant from the logarithm on the left:

-5/4 V + 1/4 (ln(4) + ln|V - 1|) = ln|X| + C

-5/4 V + 1/4 ln|V - 1| = ln|X| + C

-5V + ln|V - 1| = 4 ln|X| + C

Get this back in terms of Y :

-5Y/X + ln|Y/X - 1| = 4 ln|X| + C

Now get the solution in terms of y and x :

-5 (y - 1/2)/(x + 1/4) + ln|(y - 1/2)/(x + 1/4) - 1| = 4 ln|x + 1/4| + C

With some manipulation of constants and logarithms, and a bit of algebra, we can rewrite this solution as

-5 (4y - 2)/(4x + 1) + ln|(4y - 4x - 3)/(4x + 1)| = 4 ln|x + 1/4| + 4 ln(4) + C

-5 (4y - 2)/(4x + 1) + ln|(4y - 4x - 3)/(4x + 1)| = 4 ln|4x + 1| + C

-5 (4y - 2)/(4x + 1) + ln|4y - 4x - 3| - ln|4x + 1| = 4 ln|4x + 1| + C

-5 (4y - 2)/(4x + 1) + ln|4y - 4x - 3| = 5 ln|4x + 1| + C

8 0

3 years ago

Simplify 3^2 ⋅ 3^5 3^7 3^10 9^7 9^10

love history [14]

3^7 when you are multiplying numbers with the same base add the exponents.

3 0

3 years ago

Read 2 more answers

Bag of skittles containes 3 colors . red, yellow,, and green - in the ratio of 1:2:5 if there were a total of 32 pieces of candy

steposvetlana [31]

With the 3 colors - red=1, yellow=2 and green=5 - adding up to 8, that is one quarter the total of 32. Multiply each by 4 and you'll have - 4:8:20.

3 0

3 years ago

Help me please ..........................

attashe74 [19]

Step-by-step explanation:

3 0

3 years ago

Graph and write the solution: Y= x - 4 Y= 1/3x - 2

Reika [66]

Answer:

1. x=4

2. x=6

Step-by-step explanation:

I've attached the graphs here:

Clearly, the solution for first one is(Reminder: the solution is the x-intercepts, when y is zero):

x=4

And the second is:

x=6

Hope this helps!

Mark brainliest if you think I helped! Would really appreciate!

6 0

3 years ago