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OleMash [197]
3 years ago
12

Find an equation for the surface consisting of all points p for which the distance from p to the x-axis is 5 times the distance

from p to the yz-plane.
Mathematics
1 answer:
guajiro [1.7K]3 years ago
6 0
Distance from P to the x-axis = 2x distance from P to the yz-plane 

<span>Distance to the x-axis of a point P=(x,y,z) is (y^2+z^2)^1/2 </span>
<span>Distance to the yz-plane of a point P=(x,y,z) is x </span>

<span>So your equation is: </span>
<span>(y^2+z^2)^1/2 = 2x </span>
<span>=> y^2 + z^2 = 4x^2 </span>
<span>=> y^2 + z^2 - 4x^2 = 0 

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
</span>
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What is 36x^9y^4/4x^7y^3
motikmotik
Get rid of all common factors.
36/4 = 9
x^9/x^7 = x^2
y^4/y^3 = y

\boxed{\frac{36x^9y^4}{4x^7y^3}=9x^2y}
6 0
3 years ago
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
liubo4ka [24]

Answer:

1) 20.9

2) 896

3) 21

Step-by-step explanation:

1) 5.6÷2^3+(12.75+7.45)

---> 12.75 + 7.45 = 20.2

5.6 ÷ 2^3 + 20.2

--> Simplify 2^3 to 8

5.6 ÷ 8 + 20.2

--> 5.6 ÷ 8 = 0.7

0.7+20.2

--> Simplify

20.9

2) 4^3 × (0.6 +3.6) ÷ 0.3

---> 0.6 + 3.6 = 4.2

4^3 * 4.2 ÷ 0.3

---> 4^3 = 64

64 * 4.2 ÷ 0.3

--> 64 * 4.2 = 268.8

268.8 ÷ 0.3

--> 268.8 ÷ 0.3 = 896

896

3) 2^4 + (2.75 +1.75) ÷ 0.9

--> 2.75 + 1.75 = 4.5

2^4 + 4.5 ÷ 0.9

--> 2^4 = 16

16 + 4.5 ÷ 0.9

--> 4.5 ÷ 0.89 = 5

16 + 5

--> Simplify

= 21

8 0
2 years ago
Consider a game in which a participant pays $2 to roll a die. The participant receives $3 if they roll a 1 (i.E. They go up by a
Sauron [17]

Answer:

The expected monetary value of a single roll is $1.17.

Step-by-step explanation:

The sample space of rolling a die is:

S = {1, 2, 3, 4, 5 and 6}

The probability of rolling any of the six numbers is same, i.e.

P (1) = P (2) = P (3) = P (4) = P (5) = P (6) = \frac{1}{6}

The expected pay for rolling the numbers are as follows:

E (X = 1) = $3

E (X = 2) = $0

E (X = 3) = $0

E (X = 4) = $0

E (X = 5) = $0

E (X = 6) = $4

The expected value of an experiment is:

E(X)=\sum x\cdot P(X=x)

Compute the expected monetary value of a single roll as follows:

E(X)=\sum x\cdot P(X=x)\\=[E(X=1)\times \frac{1}{6}]+[E(X=2)\times \frac{1}{6}]+[E(X=3)\times \frac{1}{6}]\\+[E(X=4)\times \frac{1}{6}]+[E(X=5)\times \frac{1}{6}]+[E(X=6)\times \frac{1}{6}]\\=[3\times \frac{1}{6}]+[0\times \frac{1}{6}]+[0\times \frac{1}{6}]\\+[0\times \frac{1}{6}]+[0\times \frac{1}{6}]+[4\times \frac{1}{6}]\\=1.17

Thus, the expected monetary value of a single roll is $1.17.

7 0
3 years ago
When you are determining the probability of an event, why must the probability be between 0 and 1? Explain your answer.
Airida [17]

Answer:

The probability of an event will not be less than 0. This is because 0 is impossible (sure that something will not happen). The probability of an event will not be more than 1. This is because 1 is certain that something will happen.

Step-by-step explanation:

hope dis helps ^-^

5 0
3 years ago
Q)on a book case there are 35 science books ,28 history books,10 cook books,and 10 mystery novel .how many books are on the book
Finger [1]

Answer:

83

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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