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NNADVOKAT [17]
3 years ago
15

What is the factored form of 36x^4-25?

Mathematics
1 answer:
iris [78.8K]3 years ago
5 0

Answer:

The factored form is (6x^2+5)(6x^2-5)

Step-by-step explanation:

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Write the exponential function that passes through the points (3, 10) and (5, 40)
tigry1 [53]

Answer:

  y = (5/4)2^x

Step-by-step explanation:

The function value increases by a factor of 40/10 = 4 when x increases by 2. The function can be written as ...

  y = (reference value)·(growth factor)^((x -reference)/(change in x for growth factor))

  y = 10·4^((x-3)/2) . . . . . . using point (3, 10) as a reference

This can be simplified to ...

  y = 10·2^(x -3) = 10/8·2^x

  y = (5/4)2^x

6 0
3 years ago
Giving brainlist to whoever answers plz
Elanso [62]

Answer:

Okay! It should be the 3 one.

-2(3)+30=24

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Find the work done by F= (x^2+y)i + (y^2+x)j +(ze^z)k over the following path from (4,0,0) to (4,0,4)
babunello [35]

\vec F(x,y,z)=(x^2+y)\,\vec\imath+(y^2+x)\,\vec\jmath+ze^z\,\vec k

We want to find f(x,y,z) such that \nabla f=\vec F. This means

\dfrac{\partial f}{\partial x}=x^2+y

\dfrac{\partial f}{\partial y}=y^2+x

\dfrac{\partial f}{\partial z}=ze^z

Integrating both sides of the latter equation with respect to z tells us

f(x,y,z)=e^z(z-1)+g(x,y)

and differentiating with respect to x gives

x^2+y=\dfrac{\partial g}{\partial x}

Integrating both sides with respect to x gives

g(x,y)=\dfrac{x^3}3+xy+h(y)

Then

f(x,y,z)=e^z(z-1)+\dfrac{x^3}3+xy+h(y)

and differentiating both sides with respect to y gives

y^2+x=x+\dfrac{\mathrm dh}{\mathrm dy}\implies\dfrac{\mathrm dh}{\mathrm dy}=y^2\implies h(y)=\dfrac{y^3}3+C

So the scalar potential function is

\boxed{f(x,y,z)=e^z(z-1)+\dfrac{x^3}3+xy+\dfrac{y^3}3+C}

By the fundamental theorem of calculus, the work done by \vec F along any path depends only on the endpoints of that path. In particular, the work done over the line segment (call it L) in part (a) is

\displaystyle\int_L\vec F\cdot\mathrm d\vec r=f(4,0,4)-f(4,0,0)=\boxed{1+3e^4}

and \vec F does the same amount of work over both of the other paths.

In part (b), I don't know what is meant by "df/dt for F"...

In part (c), you're asked to find the work over the 2 parts (call them L_1 and L_2) of the given path. Using the fundamental theorem makes this trivial:

\displaystyle\int_{L_1}\vec F\cdot\mathrm d\vec r=f(0,0,0)-f(4,0,0)=-\frac{64}3

\displaystyle\int_{L_2}\vec F\cdot\mathrm d\vec r=f(4,0,4)-f(0,0,0)=\frac{67}3+3e^4

8 0
3 years ago
A figure is shown with parallel lines a and b. What is the measure, in degrees, of ∠r?
Novay_Z [31]

Answer:

42 degrees

Step-by-step explanation:

48 and r are equal.

The box means right angle, or 90 degrees

180-90-48=42 degrees

3 0
2 years ago
Read 2 more answers
Is 1/9 >, <, or = {Negative} -4?
kvasek [131]

<u>Answer:</u>

1/9 > -4

because -4 is a negative no less than 0. whereas 1/9 is a positive no greater than 0.

So negative no can't be greater than positive no.

6 0
3 years ago
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