3 years ago

Refer to the figure. Which Theorem guarantees L and M are parallel

Mathematics

1 answer:

vaieri [72.5K]3 years ago

4 0

Answer:

alternate exterior angles converse

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A cake recipe says to bake the cake until the center is 180 degrees F, then let the cake cool to 110 degrees F. The table shows

jeka94

Answer:

Check the explanation

Step-by-step explanation:

a) The following exponential model would fit the given dataset : $\small y = 129.122 \times (0.9742)^x$

b) To cool down to 110 degrees, it would take approximately 7.3 minutes based on the above model.

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3 years ago

Use the Chain Rule to find the indicated partial derivatives. z = x^4 + xy^3, x = uv^4 + w^3, y = u + ve^w Find : ∂z/∂u , ∂z/∂v

k0ka [10]

I'll use subscript notation for brevity, i.e. $\frac{\partial f}{\partial x}=f_x$ .

By the chain rule,

$z_u=z_xx_u+z_yy_u$

$z_v=z_xx_v+z_yy_v$

$z_w=z_xx_w+z_yy_w$

We have

$z=x^4+xy^3\implies\begin{cases}z_x=4x^3+y^3\\z_y=3xy^2\end{cases}$

and

$\begin{cases}x=uv^4+w^3\\y=u+ve^w\end{cases}\implies\begin{cases}x_u=v^4\\x_v=4uv^3\\x_w=3w^2\\y_u=1\\y_v=e^w\\y_w=ve^w\end{cases}$

When $u=1,v=1,w=0$ , we have

$\begin{cases}x(1,1,0)=1\\y(1,1,0)=2\end{cases}\implies\begin{cases}z_x(1,2)=12\\z_y(1,2)=12\end{cases}$

and the partial derivatives take on values of

$\begin{cases}x_u(1,1,0)=1\\x_v(1,1,0)=4\\x_w(1,1,0)=0\\y_u(1,1,0)=1\\y_v(1,1,0)=1\\y_w(1,1,0)=1\end{cases}$

So we end up with

$\boxed{\begin{cases}z_u(1,1,0)=24\\z_v(1,1,0)=60\\z_w(1,1,0)=12\end{cases}}$

3 0

3 years ago

4 A figure is graphed on a coordinate grid as shown.

Andrei [34K]

Answer:

i have no idea

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

zmey [24]

Answer:

Step-by-step explanation:

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3 years ago

If m= 7x and m = 3x + 20, what is the value of x? a 10 4 7 5

Ipatiy [6.2K]

Equate the expressions for m.
7x = 3x + 20
4x = 20 . . . . . . . subtract 3x
x = 20/4 = 5 . . . divide by 4

The value of x is 5.

5 0

3 years ago