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lara [203]
4 years ago
14

340 equals 72 more than y Write the sentence as an equation.

Mathematics
1 answer:
marissa [1.9K]4 years ago
6 0

Answer:

y+72=340

Step-by-step explanation:

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Write the phase "3 times the difference of 5 and y equals 4" as a variable expression:
worty [1.4K]

Answer:

3(5-7)=4

Step-by-step explanation:

6 0
3 years ago
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Hat is the 4th equivalent fraction to 1/11​
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4/44 i think

Step-by-step explanation:

5 0
3 years ago
1 inch equals 2.54 cm. The dimensions of a table made in Europe are 85 cm wide by 120 cm long. What is the width of the table in
diamong [38]
Width = 33.465

Length = 47.2441

Area = 1581.02381
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3 years ago
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How much can 23 go into 162?​
Aneli [31]
23 can go 7 times into 162! Hope this helps ;(
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3 years ago
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Find the work required to move an object in the force field F = e^x + y (1, 1, z) along the straight line from A(0, 0, 0) to B(-
DENIUS [597]

\vec F(x,y,z)=(e^x+y)(1,1,z)

is conservative if we can find a scalar function f such that \nabla f=\vec F. This would require

f_x=e^x+y

f_y=e^x+y

f_z=(e^x+y)z

Integrating both sides of the first equation wrt x gives

f(x,y,z)=e^x+xy+g(y,z)

Differentiating both sides of this wrt y gives

f_y=x+g_y=1\implies g_y=1-x\implies g(y,z)=y-xy+h(z)

but we assumed g was a function of y and z, independent of x. So there is no such f and \vec F is not conservative.

To find the work, first parameterize the path (call it C) by

\vec r(t)=(1-t)(0,0,0)+t(-4,5,-5)=(-4t,5t,-5t)

for 0\le t\le1. Then

\vec r'(t)=(-4,5,-5)

and the work is given by the line integral,

W=\displaystyle\int_C\vec F\cdot\mathrm d\vec r=\int_0^1(e^{-4t}+5t,e^{-4t}+5t,-(e^{-4t}+5t)5t)\cdot(-4,5,-5)\,\mathrm dt

W=\displaystyle\int_0^1(125t^2+5t+(25t+1)e^{-4t})\,\mathrm dt=\boxed{\frac{2207}{48}-\frac{129}{16e^4}}

8 0
3 years ago
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