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Angelina_Jolie [31]
3 years ago
9

What is the percent of change from 24 teachers to 30 teachers?

Mathematics
1 answer:
xz_007 [3.2K]3 years ago
6 0

Answer:

25% Increase

Step-by-step explanation:

( (V2-V1)/V1 ) x 100

(30-24)/24 x 100

25

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A quadrilateral has its interior angles X, 47, 95, 82. Find<br>the value of x​
Oksana_A [137]

Answer:

x=136

Step-by-step explanation:

To find the measure of the sum of the interior angles use the formula (n-2) times 180 where n is the number of sides.

A quadrilateral has 4 sides. (4-2) times 180. 2 times 180=360

The sum of the interior angles of a quadrilateral is 360.

x+47+95+82=360

x+ 224 = 360

x= 136

5 0
2 years ago
Find the solution of the problem (1 3. (2 cos x - y sin x)dx + (cos x + sin y)dy=0.
lakkis [162]

Answer:

2*sin(x)+y*cos(x)-cos(y)=C_1

Step-by-step explanation:

Let:

P(x,y)=2*cos(x)-y*sin(x)

Q(x,y)=cos(x)+sin(y)

This is an exact differential equation because:

\frac{\partial P(x,y)}{\partial y} =-sin(x)

\frac{\partial Q(x,y)}{\partial x}=-sin(x)

With this in mind let's define f(x,y) such that:

\frac{\partial f(x,y)}{\partial x}=P(x,y)

and

\frac{\partial f(x,y)}{\partial y}=Q(x,y)

So, the solution will be given by f(x,y)=C1, C1=arbitrary constant

Now, integrate \frac{\partial f(x,y)}{\partial x} with respect to x in order to find f(x,y)

f(x,y)=\int\  2*cos(x)-y*sin(x)\, dx =2*sin(x)+y*cos(x)+g(y)

where g(y) is an arbitrary function of y

Let's differentiate f(x,y) with respect to y in order to find g(y):

\frac{\partial f(x,y)}{\partial y}=\frac{\partial }{\partial y} (2*sin(x)+y*cos(x)+g(y))=cos(x)+\frac{dg(y)}{dy}

Now, let's replace the previous result into \frac{\partial f(x,y)}{\partial y}=Q(x,y) :

cos(x)+\frac{dg(y)}{dy}=cos(x)+sin(y)

Solving for \frac{dg(y)}{dy}

\frac{dg(y)}{dy}=sin(y)

Integrating both sides with respect to y:

g(y)=\int\ sin(y)  \, dy =-cos(y)

Replacing this result into f(x,y)

f(x,y)=2*sin(x)+y*cos(x)-cos(y)

Finally the solution is f(x,y)=C1 :

2*sin(x)+y*cos(x)-cos(y)=C_1

7 0
3 years ago
Approximately 85% of electronic stores marked up the price for a new headset. Suppose a random sample of 12 stores is selected.
Leviafan [203]

Answer:djdjdjxbc. D

Step-by-step explanation:

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2 years ago
Which ordered pair represents the translation of R to S?
shtirl [24]
I believe it is -3, 5
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I need a bit of help! I can't figure out how to convert this. Thank you so much!
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