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Nitella [24]
2 years ago
5

A penguin walks 10 feet in 6 seconds. At this speed:

Mathematics
1 answer:
AlexFokin [52]2 years ago
7 0

Answer:

1. 75 feet

2. 27 seconds

Step-by-step explanation:

1. If six seconds is equal  to 10 feet that means that 42 seconds is equal to 70 feet (6 X 7 = 42) It also means that 3 seconds is equal to 5 feet. (42 + 3 = 45)

2. If 6 seconds is 10 feet, then 6 X 4 is 40 feet (24) And since 5 feet is equal to   3 seconds then we get 24 + 3 = 27

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3 years ago
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MakcuM [25]

Answer:

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Step-by-step explanation:

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Help! i just need the 3rds question, my brain is fried
Sergeeva-Olga [200]

Answer:

0.00665

0.006951

Step-by-step explanation:

If the first child is born with the affliction, there's a 0.05 probability that the second child will be born with the affliction.  Which means there's a 0.95 probability that they won't.

The probability that the first child is born with the affliction but not the second is therefore:

P = 0.007 × 0.95

P = 0.00665

There's a 0.007 probability that the first child will be born with the affliction, which means there's a 0.993 probability that they won't.  If the first child isn't born with the affliction, then the probability the second child will have it is 0.007.

So the probability that the first child is not born with the affliction and the second child is would be:

P = 0.993 × 0.007

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3 0
2 years ago
Rewrite the equation by completing the square. 4 x^{2} -12 x +9 = 04x 2 −12x+9=0
DedPeter [7]

Answer:

  (2x -3)^2 = 0

Step-by-step explanation:

In this particular instance, the square is already complete. The rewrite is to show that.

  (2x -3)^2 = 0

__

In the general case, ...

  (ax +b)^2 = a^2x^2 +2abx +b^2

Comparing this form to the given left-side expression, we see that ...

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3 years ago
In Exercises 3–10, use the Chain Rule to calculate the partial derivatives. Express the answer in terms of the independent varia
sashaice [31]

I'll use subscript notation for brevity, i.e.

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

3.

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x(r,s)=s^2\implies\begin{cases}x_r=0\\x_s=2s\end{cases}

y(r,s)=2rs\implies\begin{cases}y_r=2s\\y_s=2r\end{cases}

z(r,s)=r^2\implies\begin{cases}z_r=2r\\z_s=0\end{cases}

By the chain rule,

f_r=f_xx_r+f_yy_r+f_zz_r=2xs+4zr=2s^3+4r^3

f_s=f_xx_s+f_yy_s+f_zz_s=2ys+2xr=6rs^2

4.

x(r,s,t)=r+s-2t\implies\begin{cases}x_r=1\\x_s=1\\x_t=-2\end{cases}

y(r,s,t)=3rt\implies\begin{cases}y_r=3t\\y_s=0\\y_t=3r\end{cases}

z(r,s,t)=s^2\implies\begin{cases}z_r=0\\z_s=2s\\z_t=0\end{cases}

By the chain rule,

f_r=f_xx_r+f_yy_r+f_zz_r=y+3xt=3rt+3r+3s-6t^2

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f_t=f_xx_t+f_yy_t+f_zz_t=-2y+3xr=3r+3s-12rt

8 0
2 years ago
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