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3 years ago

7

Translate the following statement into an appropriate algebraic statement: The sum of 5 times the number of dogs and 3 times the

number of cats is 66.
A) 5d+3c+66
B) 5d++3c=66
C)5+d+3+c=66
D)5d-3c=66

1 answer:

Vika [28.1K]3 years ago

3 0

I don't know if you typed the answer's exactly but if there is one plus sign on B then it's B.

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Alex777 [14]

Answer:

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Step-by-step explanation:

A vector perpendicular to the plane ax+by+cz+d=0 is of the form $(a,b,c)$ .

So, a vector perpendicular to the plane x − y + 2z = 7 is $(1,-1,2)$ .

The parametric equations of a line through the point $(x_0,y_0,z_0)$ and parallel to the vector $(a,b,c)$ are as follows:

$x=x_0+at\\y=y_0+bt\\z=z_0+ct$

Put $(x_0,y_0,z_0)=(1,4,4)$ and $(a,b,c)=(1,-1,2)$

Therefore,

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xy-plane:

Put z = 0 ⇒ t = -2 ⇒x = - 1 , y = 6

So, at point (-1,6,0)

yz-plane:

Put x = 0 ⇒ t = -1 ⇒ y = 5, z =2

So, at point (0,5,2)

xz-plane:

Put y = 0 ⇒ t = 4 ⇒ x = 5, z = 12

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Answer:

Probability that the lifetime of the machine part is less than 13 = 0.6782

Step-by-step explanation:

given that $f(x)=(10+x)^{-2}$

Normalizing the function we get

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$\therefore a=\frac{1}{\int_{0 }^{50}(10+x)^{-2}dx}$

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$P(x< 13)=\int_{0}^{13}12(10+x)^{-2}dx\\\\P(X< 13)=0.6782$

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3 years ago

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Answer:

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Step-by-step explanation:

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Answer:

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