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lapo4ka [179]
4 years ago
8

A mountain in the ocean is bounded by the ocean floor z = 0 and the cone z = 4 − 2 √ x 2 + y 2 . Suppose the heat flow in and ar

ound the mountain is described by the vector field F(x, y, z) = y 2 (x + sin y)i + z cos xj + x 2 zk. Calculate the flux of heat flowing out of the mountain. Hint: use the divergence theorem.
Mathematics
1 answer:
Lemur [1.5K]4 years ago
5 0

Answer:

67ft

Step-by-step explanation:

2 s =5 an theres

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Which graph is the result of reflecting f(x) = One-fourth(8)x across the y-axis and then across the x-axis?
Murljashka [212]

Answer:

f(x) = -0.5x

Step-by-step explanation:

.25*8 = 2 which is really a slope of 2/1

place a negative in front flips it over the y axis and flipping the slope flips it over the x axis.

5 0
3 years ago
6x – 2y = 10 2x + 3y = 51 Solving the first equation above for y gives: y = x – 5
Virty [35]

Answer:

<h2>x =6</h2><h2>y =13</h2>

Step-by-step explanation:

This is  the method I am familiar with.

I Hope It helps :)

METHOD- 1 : Elimination\\6x - 2y=10------(1)\\2x+3y =51------(2)\\Multiply -eq-(1)- by -the-coefficient-of-x-in-equation (2)\\Multiply-eq-(2) -by -the-coefficient-of-x-in-equation (1)\\6x - 2y=10------(1) *2\\2x+3y =51------(2)*6\\\\12x-4y=20 ------(3)\\12x+18y=306 ------(4)\\Subtract -eq- (4)- from- eq -(3)\\-22y =-286\\\frac{-22y}{-22} =\frac{-286}{-22} \\y =13\\

Substitute- 13- for y -in-equation -(1)-or-(2)\\6x - 2y=10------(1)\\6x -2(13)=10\\6x -26=10\\6x =10+26\\6x =36\\\frac{6x}{6} =\frac{36}{6} \\x =6

6 0
3 years ago
Read 2 more answers
2 263 *?-90 oy + 2000 y2-5504z -30253 sutry-454)37200​
aalyn [17]

Answer:

hello

Step-by-step explanation:

I did not known your answer

6 0
3 years ago
Combine like terms and write an equivalent expression with fewer terms: 4 - 2x + 5x
borishaifa [10]

Answer:

4 - 3x

Step-by-step explanation:

negative 2x plus 5x equals 3x

8 0
3 years ago
PLEASE HELP NOW!!
Rufina [12.5K]

1. Carl's constant rate of speed is the slope of the straight line graph.

This straight line passes through: (0,0), (5,1), (10,2) etc

We can use the slope formula with any two points to find the slope of this line.

The slope formula is m=\frac{y_2-y_1}{x_2-x_1}.

Let (x_1,y_1)=(0,0) and (x_2,y_2)=(5,1)

Then m=\frac{1-0}{5-0}, \implies m=\frac{1}{5}.

Carl's speed is \frac{1}{5} miles per minute.

But we must leave our answer in miles per hour

Hence Carl's speed is \frac{1}{5}\times 60=12  miles per hour

After 2 hours, Carl will travel 12\times 2=24 miles.

2. The given line has equation -4x+y=10

We write this in slope-intercept form by solving for y.

\implies y=4x+10

This is in the form y=mx+c, where m=4 is the slope.

When x=3,  y=4(3)+10

\implies y=12+10=22

When x=3, y=22

3. The given straight line graph that models the situation passes through:

(0,0) and (20,30).

The slope of this line is \frac{Rise}{Run}=\frac{300}{20}=15

Therefore the rate is $ 15 per ticket.

If the theater sells 150 tickets, the earnings will be: 150\times 15=2,250 dollars.

7 0
4 years ago
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