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irga5000 [103]
3 years ago
15

Which one is it please hurry. Thank you

Mathematics
2 answers:
Simora [160]3 years ago
8 0

Answer: I think it’s A if I am incorrect I am very sorry

Step-by-step explanation:

stepan [7]3 years ago
4 0
I think it’s A but sorry if I’m wrong
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How are the angles of an equilateral triangle related?
julia-pushkina [17]
There are 180 degrees in total inside a triangle.

If something is equilateral that means that all the angles are equal.

180/3 equals 60 degrees.

That means that all angles of an equilateral triangle are always equal to each other and if you must know, are 60 degrees
4 0
3 years ago
zoey inflates 24 balloons for decorations at the middle school dance. if zoey inflated 15% of the total number of balloons for t
kirill [66]

Answer:

160

Step-by-step explanation:

Divide 24 by 15 percent (.15)

24/.15

=160

5 0
3 years ago
Read 2 more answers
Evaluate the integral Integral from (5 comma 2 comma 4 )to (7 comma 9 comma negative 3 )y dx plus x dy plus 3 dz by finding para
padilas [110]

\displaystyle\int_C\vec F\cdot\mathrm d\vec r=\int_{(5,2,4)}^{(7,9,-3)}y\,\mathrm dx+x\,\mathrm dy+3\,\mathrm dz

Parameterize the line segment (call it C) by

\vec r(t)=(1-t)(5\,\vec\imath+2\,\vec\jmath+4\,\vec k)+t(7\,\vec\imath+9\,\vec\jmath-3\,\vec k)

\vec r(t)=(2t+5)\,\vec\imath+(7t+2)\,\vec\jmath+(4-7t)\,\vec k

with 0\le t\le1. Then

\vec r'(t)=2\,\vec\imath+7\,\vec\jmath-7\,\vec k

and the line integral is

\displaystyle\int_C\vec F\cdot\mathrm d\vec r=\int_0^1((7t+2)\,\vec\imath+(2t+5)\,\vec\jmath+3\,\vec k)\cdot\vec r'(t)\,\mathrm dt

=\displaystyle\int_0^1((2t+5)+2(7t+2)-21)\,\mathrm dt

=\displaystyle\int_0^1(28t+18)\,\mathrm dt=\boxed{32}

Alternatively, if we can show that \vec F is conservative, then we can apply the fundamental theorem of calculus. We need to find f such that \nabla f=\vec F, which requires

\dfrac{\partial f}{\partial x}=y

\dfrac{\partial f}{\partial y}=x

\dfrac{\partial f}{\partial z}=3

Integrating both sides of the first equation with respect to x gives

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

Differentiating both sides wrt y gives

\dfrac{\partial f}{\partial y}=x=x+\dfrac{\partial g}{\partial y}

\implies\dfrac{\partial g}{\partial y}=0\implies g(y,z)=h(z)

Differentiating wrt z gives

\dfrac{\partial f}{\partial z}=3=\dfrac{\mathrm dh}{\mathrm dz}

\implies h(z)=3z+C

So we have

f(x,y,z)=xy+3z+C

and \vec F is conservative. By the FTC, we find

\displaystyle\int_C\vec F\cdot\mathrm d\vec r=f(7,9,-3)-f(5,2,4)=\boxed{32}

5 0
3 years ago
9x^2-y^2=1
Vinvika [58]
9x^2 - y^2 = 1

a.) 18x - 2y dy/dx = 0
2y dy/dx = 18x
dy/dx = 9x/y

b.) y^2 = 9x^2 - 1
y = √(9x^2 - 1)
y' = 9x / √(9x^2 - 1)

c.) substituting y = √(9x^2 - 1) into solution for part a gives
dy/dx = 9x / √(9x^2 - 1)
Thus the two solutions are consistent.
4 0
3 years ago
Help me look at the Circled question
beks73 [17]

Ana stated with $150 in the bank.

She adds $25.75 to the account each week.

The expression 150+4x-25.75 represents the total amount in the bank after 4 weeks.


If any questions just ask ! :) :)

7 0
3 years ago
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