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storchak [24]
3 years ago
8

How many inches are in 3 feet

Mathematics
2 answers:
crimeas [40]3 years ago
6 0

Answer:

36 inches.

Step-by-step explanation:

mart [117]3 years ago
5 0
36 inches are in 3 feet
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tia_tia [17]
The correct answer is 317
5 0
2 years ago
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Find the solution of the given initial value problem:<br><br> y''- y = 0, y(0) = 2, y'(0) = -1/2
igor_vitrenko [27]

Answer:  The required solution of the given IVP is

y(x)=\dfrac{3}{4}e^x+\dfrac{5}{4}e^{-x}.

Step-by-step explanation:  We are given to find the solution of the following initial value problem :

y^{\prime\prime}-y=0,~~~y(0)=2,~~y^\prime(0)=-\dfrac{1}{2}.

Let y=e^{mx} be an auxiliary solution of the given differential equation.

Then, we have

y^\prime=me^{mx},~~~~~y^{\prime\prime}=m^2e^{mx}.

Substituting these values in the given differential equation, we have

m^2e^{mx}-e^{mx}=0\\\\\Rightarrow (m^2-1)e^{mx}=0\\\\\Rightarrow m^2-1=0~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{since }e^{mx}\neq0]\\\\\Rightarrow m^2=1\\\\\Rightarrow m=\pm1.

So, the general solution of the given equation is

y(x)=Ae^x+Be^{-x}, where A and B are constants.

This gives, after differentiating with respect to x that

y^\prime(x)=Ae^x-Be^{-x}.

The given conditions implies that

y(0)=2\\\\\Rightarrow A+B=2~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

and

y^\prime(0)=-\dfrac{1}{2}\\\\\\\Rightarrow A-B=-\dfrac{1}{2}~~~~~~~~~~~~~~~~~~~~~~~~(ii)

Adding equations (i) and (ii), we get

2A=2-\dfrac{1}{2}\\\\\\\Rightarrow 2A=\dfrac{3}{2}\\\\\\\Rightarrow A=\dfrac{3}{4}.

From equation (i), we get

\dfrac{3}{4}+B=2\\\\\\\Rightarrow B=2-\dfrac{3}{4}\\\\\\\Rightarrow B=\dfrac{5}{4}.

Substituting the values of A and B in the general solution, we get

y(x)=\dfrac{3}{4}e^x+\dfrac{5}{4}e^{-x}.

Thus, the required solution of the given IVP is

y(x)=\dfrac{3}{4}e^x+\dfrac{5}{4}e^{-x}.

4 0
3 years ago
Can someone pls help me :-(
spayn [35]

Answer:

One: x =  3/32

Two: y =  3/10

Step-by-step explanation:

One

y = k*x

1/4 = k* 1/8                    Multiply both sides by 8

8(1/4) = 8*k*(1/8)

8/4 = k

k = 2

=======================

3/16 = 2*x                      Divide by 2

3/32 = x

Two

y = 2/5

x = 1/3

2/5 = k * 1/3                   Multiply both sides by 5

2 = 5*k * 1/3

2 = 5/3 * k                     Multiply both sides by 3

6 = 5 * k                        Divide both sides by 5

6/5 = k

y = 6/5 * x

x = 1/4

y = 6/5 * 1/4

y = 6/20 = 3/10

5 0
2 years ago
Here are two sums:<br> 2/15 + 1/3 6/7 - 1/3 <br> which two sums is the closest value to 1/2?
Lina20 [59]

Answer:

hi, friend!

→The Answer Is 6/7 Minus 1/3 ←

Step-by-step explanation:

Well 6/7 Minus  1/3 Gives us the Answer 11/ 21

And 2/15 + 1/3 Gives us the Answer 7/15

xXxAnimexXx

Have a great day!

6 0
2 years ago
The figure below has a point marked with a large dot.
OleMash [197]

Therefore ,The marked point will now have the updated coordinates P' (2, 7).

<h3>Define Translation of Points on a Coordinate Plane.</h3>

When a figure is transferred from one area to another without altering its size, shape, or orientation, a translation takes place. If we know which way and how far the figure to be moved, we can draw the translation in the coordinate plane.

Here,

On an X-Y coordinate plane, a figure is plotted.

When translating a figure 7 units to the down, we must provide the coordinates of the indicated point in the original figure

"(x, y)" = "(x + m, y + n)"

In response to the query, we have

The specified point's coordinates are: P (5,4).

The new coordinates of the indicated spot after this figure is translated 6 units to the right will be -

P'( 5,4- 7) = P'(5, -3) (5, -3)

As a result, the designated point's new coordinates are P' (5, -3)

The new coordinates of the marked point will be - P'(5, -3)

To know more about translation of points , visit

brainly.com/question/17151240

#SPJ1

6 0
1 year ago
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