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3 years ago

Can 3/10 be simplified?

Mathematics

2 answers:

masha68 [24]3 years ago

8 0

$No. \frac{3}{10}$ is simplified

Troyanec [42]3 years ago

4 0

Unfortunately 3/10 cannot be simplified, because it is in its simplest form.

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The family of solutions to the differential equation y ′ = −4xy3 is y = 1 √ C + 4x2 . Find the solution that satisfies the initi

slega [8]

Answer:

The correct option is 4

Step-by-step explanation:

The solution is given as

$y(x)=\frac{1}{\sqrt{C+4x^2}}$

Now for the initial condition the value of C is calculated as

$y(x)=\frac{1}{\sqrt{C+4x^2}}\\y(-2)=\frac{1}{\sqrt{C+4(-2)^2}}\\4=\frac{1}{\sqrt{C+4(4)}}\\4=\frac{1}{\sqrt{C+16}}\\16=\frac{1}{C+16}\\C+16=\frac{1}{16}\\C=\frac{1}{16}-16$

So the solution is given as

$y(x)=\frac{1}{\sqrt{C+4x^2}}\\y(x)=\frac{1}{\sqrt{\frac{1}{16}-16+4x^2}}$

Simplifying the equation as

$y(x)=\frac{1}{\sqrt{\frac{1}{16}-16+4x^2}}\\y(x)=\frac{1}{\sqrt{\frac{1-256+64x^2}{16}}}\\y(x)=\frac{\sqrt{16}}{\sqrt{{1-256+64x^2}}}\\y(x)=\frac{4}{\sqrt{{1+64(x^2-4)}}}$

So the correct option is 4

8 0

3 years ago

Read 2 more answers

I need help on this one

mel-nik [20]

Answer: 4/9

Step-by-step explanation:

apply product rule to 2/3 2^2 / 3^2

7 0

2 years ago

I need help with the coordinate plane

alexira [117]

Answer:

The -7 changes to 7 and the ordered pair of the new point is (4,7)

The -2 changes to 2 and the ordered pair of the new point is (2,-5)

Step-by-step explanation:

Hope this helped.

7 0

3 years ago

Find the equation of a line that is perpendicular to 4x+6y=1 and that has a greater intercept to the line 2x+3y=18

enot [183]

Answer:

2y - 3x = -15

Step-by-step explanation:

Slope of the line 4x + 6y = 1 is as shown below;

Rewrite in slope intercept form;

6y = -4x+1

y = -4x/6 + 1/6

y = -2x/3 + 1/6

mx = -2/3x

m = -2/3

The slope of the line perpendicular M = -1/(-2/3)

M = 3/2

Get the x and y intercept of 2x+3y = 18

x intercept occurs when y = 0

2x + 0 = 18

x= 18/2

x = 9

y intercept occurs when x = 0

0 + 3y = 18

3y= 18

y = 18/3

y = 6

The line passes through the point (9,6)

Write the equation in point slope form

y - y0 = m(x-x0)

y - 6 = 3/2(x-9)

2(y-6) = 3(x-9)

2y - 12 = 3x - 27

2y - 3x = -27 + 12

2y - 3x = -15

This gives the required equation

8 0

3 years ago

On a map, 3 cm represents 35 miles. What is the actual distance if two cities are 6.5 cm apart on the map?

Lina20 [59]

Answer:

75 miles

Step-by-step explanation:

35 times 2= is 70

so 6 cm is 70

plus 5 for the .5

so 70+5= 75

6 0

3 years ago