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OlgaM077 [116]
3 years ago
6

It takes Dennis 1 hour to drive 65 miles, 2 hours to drive 130 miles, and 3 hours to drive 195 miles. Write an equation for the

relationship if x represents the number of hours and y represents the number of miles driven.
Select one:

y=65x

y=2x

y=195x

y=130x
help me!!
Mathematics
1 answer:
Alex_Xolod [135]3 years ago
3 0

Answer:

Step-by-step explanation:

Notice that he drives a constant speed of 65 miles per hour.

x hours × (65 miles)/hour = 65x miles

y = 65x

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What do you want?

a(2)=4*a(1)==>a(1)=12/4=3
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a(n)=3/4 * 4^n (genearl term)


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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
I don’t know how to do this please helppp
Kitty [74]

Answer:

Given the 2 values, height and the base, of these 2 triangles, we can assume that they are similar (meaning they share the same angles) as we have no other information to determine the height of the tree.

Therefore, if these triangles are similar, their corresponding sides are proportional. In other words, PZ/RT = QZ/ST or RT/PZ=ST/QZ

Hence, if we find the ratio of this, we can use it to find the side <em>h</em>

<em>QZ/ST=PZ/RT</em>

<em>48/12=PZ/4</em>

<em>PZ/4=48/12</em>

<em>(PZ/4)3=48/12</em>

<em>PZ(3)/12=48/12</em>

<em>48/3=16</em>

16=PZ.

3Step-by-step explanation:

7 0
3 years ago
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