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Phantasy [73]
2 years ago
7

A stick is x meter long. A string is 4 times as long as the stick. Express the length of the stick in terms of x.

Mathematics
1 answer:
soldier1979 [14.2K]2 years ago
7 0
To represent the length of the string, we can use the variable y. 

y=4x

Y is four times longer than X. 

Hope this helps!
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Solve the system of equations and choose the correct ordered pair.
frez [133]
What I would do:

5x + 10y = 35

Divide everything by 5.

x + 2y = 7

x = 7 - 2y

Now plug "x" into either one of the equations.

2(7-2y) + 5y = 15

14 - 4y + 5y = 15

14 + y = 15

y = 1

Now, solve for x by plugging in y into either one of the equations.

2x + 5y = 15

2x + 5 =15

2x = 10

x = 5

So x is 5 and y is 1.

Check by plugging in the values into the other equation.

5x + 10y = 35

5(5) + 10(1) = 35

25 + 10 = 35

35 = 35

The values are correct so, the answer for this problem is B (5, 1).
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3 years ago
Find the volume of the figure. Use 3.14 for pi
Natasha2012 [34]

Answer:

13

Step-by-step explanation:

6 0
2 years ago
Find the first partial derivatives of the function f(x,y,z)=4xsin(y−z)
Amanda [17]

Answer:

f_x(x,y,z)=4\sin (y-z)

f_x(x,y,z)=4x\cos (y-z)

f_z(x,y,z)=-4x\cos (y-z)

Step-by-step explanation:

The given function is

f(x,y,z)=4x\sin (y-z)

We need to find first partial derivatives of the function.

Differentiate partially w.r.t. x and y, z are constants.

f_x(x,y,z)=4(1)\sin (y-z)

f_x(x,y,z)=4\sin (y-z)

Differentiate partially w.r.t. y and x, z are constants.

f_y(x,y,z)=4x\cos (y-z)\dfrac{\partial}{\partial y}(y-z)

f_y(x,y,z)=4x\cos (y-z)

Differentiate partially w.r.t. z and x, y are constants.

f_z(x,y,z)=4x\cos (y-z)\dfrac{\partial}{\partial z}(y-z)

f_z(x,y,z)=4x\cos (y-z)(-1)

f_z(x,y,z)=-4x\cos (y-z)

Therefore, the first partial derivatives of the function are f_x(x,y,z)=4\sin (y-z), f_x(x,y,z)=4x\cos (y-z)\text{ and }f_z(x,y,z)=-4x\cos (y-z).

4 0
3 years ago
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sertanlavr [38]
4/6 = 1/x cross multiple so x= 1.5 dollars
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Zepler [3.9K]

Answer:

1600 after 24 hours

Step-by-step explanation:

100+100 = 200 after 6 hours

200+200 = 400 after 12 hours

400+400 = 800 after 18 hours

800+800 = 1600 after 24 hours

5 0
2 years ago
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