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2 years ago

What is the answer to this 14-2y=

Mathematics

1 answer:

yaroslaw [1]2 years ago

4 0

Answer:

y=7

Step-by-step explanation:

Assuming that the equation is 14-2y=0

We need to isolate 'y' variable to obtain its value, to do that, lets start by subtracting -14 to both sides of equality sign,

14-2y=0 is now this: 14-14-2y=0-14, which is equals to -2y=-14

Now, lets continue by dividing by -2 both sides of equality sign.

We have this

-2y/-2=-14/-2

y=7

Thus, we've obtained the value for 'y' variable

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Use Euler's method with step size 0.2 to estimate y(1), where y(x) is the solution of the initial-value problem y' = x2y − 1 2 y

irina [24]

Answer:

Therefore the value of y(1)= 0.9152.

Step-by-step explanation:

According to the Euler's method

y(x+h)≈ y(x) + hy'(x) ....(1)

Given that y(0) =3 and step size (h) = 0.2.

$y'(x)= x^2y(x)-\frac12y^2(x)$

Putting the value of y'(x) in equation (1)

$y(x+h)\approx y(x) +h(x^2y(x)-\frac12y^2(x))$

Substituting x =0 and h= 0.2

$y(0+0.2)\approx y(0)+0.2[0\times y(0)-\frac12 (y(0))^2]$

$\Rightarrow y(0.2)\approx 3+0.2[-\frac12 \times3]$ [∵ y(0) =3 ]

$\Rightarrow y(0.2)\approx 2.7$

Substituting x =0.2 and h= 0.2

$y(0.2+0.2)\approx y(0.2)+0.2[(0.2)^2\times y(0.2)-\frac12 (y(0.2))^2]$

$\Rightarrow y(0.4)\approx 2.7+0.2[(0.2)^2\times 2.7- \frac12(2.7)^2]$

$\Rightarrow y(0.4)\approx 1.9926$

Substituting x =0.4 and h= 0.2

$y(0.4+0.2)\approx y(0.4)+0.2[(0.4)^2\times y(0.4)-\frac12 (y(0.4))^2]$

$\Rightarrow y(0.6)\approx 1.9926+0.2[(0.4)^2\times 1.9926- \frac12(1.9926)^2]$

$\Rightarrow y(0.6)\approx 1.6593$

Substituting x =0.6 and h= 0.2

$y(0.6+0.2)\approx y(0.6)+0.2[(0.6)^2\times y(0.6)-\frac12 (y(0.6))^2]$

$\Rightarrow y(0.8)\approx 1.6593+0.2[(0.6)^2\times 1.6593- \frac12(1.6593)^2]$

$\Rightarrow y(0.6)\approx 0.8800$

Substituting x =0.8 and h= 0.2

$y(0.8+0.2)\approx y(0.8)+0.2[(0.8)^2\times y(0.8)-\frac12 (y(0.8))^2]$

$\Rightarrow y(1.0)\approx 0.8800+0.2[(0.8)^2\times 0.8800- \frac12(0.8800)^2]$

$\Rightarrow y(1.0)\approx 0.9152$

Therefore the value of y(1)= 0.9152.

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3 years ago

In the number 5,678.321 what is the value of the 1? *

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Answer:

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Step-by-step explanation:

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2 years ago

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A movie theater charges $15 for standard viewing, $20 for 3D viewing, and $35 for Dinner and a

Ludmilka [50]

The quantity of each type of seats sold are as follows:

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According to the question,there are four times as many 3D, x seats as Dinner and a Movie, y seats.

That is, x = 4y

Also, total seats

= (x) + (y) + (z) = 3000...….............eqn(1)

Also, If the theater brings in $53,000 when tickets to all 3000 seats are sold.

20x + 35y + 15z = 53000...........eqn(2)

By substituting 4y for x in equations 1 and 2; we have;

<em>5y + z = 3000</em>..…........eqn(3) and

<em>115y + 15z = 53000</em>.........eqn(4)

By solving equations 3 and 4 simultaneously; we have;

y = 200 and z = 2000

and since x = 4y

x = 800

The quantity of each type of seats sold is as follows:

Standard viewing = 2000

3D seats = 800

Movie and a dinner seat = 200

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2 years ago

Whats the length of the line segment EF

slamgirl [31]

Answer:

The length is 14 units

Step-by-step explanation:

Take the value at point F and subtract the value at point E

F = 19

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The length is 14 units

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2 years ago

Express square root -144 in its simplest terms.

Montano1993 [528]

Answer:

$\sqrt{144}$ = 12 or $\sqrt{-144}$ = 12i

Step-by-step explanation:

You can't take squareroot of a negative number. It's not allowed!

But for positive 144 if that's what you're asking, it will be 12.

Hope this helps!

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2 years ago

What is the answer to this 14-2y=​

What is the answer to this 14-2y=