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alekssr [168]
4 years ago
12

The temperature at a point (x, y) on a flat metal plate is given by t(x, y) = 23/(8 + x2 + y2), where t is measured in °c and x,

y in meters. find the rate of change of temperature with respect to distance at the point (1, 1) in the x-direction and the y-direction.
Mathematics
1 answer:
Firlakuza [10]4 years ago
5 0
∂t/∂x = -46x/(8 +x² +y²)²
∂t/∂y = -46y/(8 +x² +y²)²

At (x, y) = (1, 1)
.. ∂t/∂x = -46/100
.. ∂t/∂y = -46/100
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The product of two numbers is 91. If one numbers is 7,the other number is
adoni [48]

Answer:

13

Step-by-step explanation:

Divide 91 by 7 to get the answer.

4 0
3 years ago
Read 2 more answers
Two mechanics worked on a car. The first mechanic to work for 5 Hours in the second mechanic work for 15 Hours. Together they ch
Butoxors [25]
<h2>Hello!</h2>

The answers is:

The first mechanic's rate is $70 per hour.

The second mechanic's rate is $110 per hour.

<h2>Why?</h2>

Let's write the given information in order to make the equations that will help us to solve this problem.

Let be "x" the first mechanic's rate and "y" the second mechanic's rate, so:

If the first mechanic worked for 5 hours and the second mechanic worked for 15 hours, and the together charged a total of $2000.

5x+15y=2000

Also, we know that the sum of the two rates was $170 per hour, so:

x+y=180

Then, isolating "x" and replacing it into the first equation, we have:

x=180-y

5(180-y)+15y=2000

900-5y+15y=2000

10y=2000-900

10y=1100

y=\frac{1100}{10}=110

So, the second mechanic's rate is $110 per hour.

Now, to calculate the first mechanic's rate we need to replace "y" into the second equation:

x+y=180\\x+110=180\\x=180-110=70

So, the first mechanic's rate is $70 per hour.

Have a nice day!

7 0
3 years ago
Every year, Calaveras County holds a frog jumping contest. Mia entered her frog into the 100-yard contest and it completed the r
worty [1.4K]

Answer:

Step-by-step explanation:

For Mia:

distance,d = 100 yard

time, t = 2 min 33 sec = 153 s

Speed = distance / time

speed = 100 / 153 = 0.65 yard/s

For Larisa:

distance, d = 350 yard

time, t = 5 min 18 sec = 318 s

speed = 350 / 318 = 1.1 yard/s

So, the speed of Larisa is more than the speed of Mia.

7 0
3 years ago
A snowball has a radius of 7cm. What is the volume of the snowball?
BabaBlast [244]

Answer:

The volume is 1436.8in^2 .

Step-by-step explanation:

-To find the volume of a sphere, you need the formula:

V = \frac{4}{3} \pi r^3

-Use the radius for the formula:

V = \frac{4}{3} \pi 7^3

-Then, you solve:

V = \frac{4}{3} \pi 7^3

V = \frac{4}{3} × \pi × 7^3

V = \frac{4}{3} \pi × 343

V = \frac{1372}{3} \pi = 1436.755

-Round the answer to the nearest tenth:

V = 1436.8

So, therefore the volume is 1436.8in^2 .

7 0
3 years ago
Please Help FAST
Aneli [31]

Answer:

Step-by-step explanation:

1) 2x -y = 1 -------1

3x - y = -6 ------2

Subtract eqn 2 from eqn 1

-x = 1--6 = 7

x = -7

Put x= -7 in eqn 1

2*-7-y = 1

-14-y = 1

- y = 15

y = -15

2) 4x +2y = 10------1

y = 4x + 2--------2

Put eqn 2 in eqn 1

4x + 2 ( 4x+ 2) = 10

4x + 8x + 4 = 10

12x = 6

x = 6/12 = 1/2

Put x = 1/2 in eqn 2

y = 4* 1/2 + 2= 2 + 2

= 4

3) 6x - y = 2------1

y = 3x + 4---------2

Put eqn 2 in eqn 1

6x - (3x +4) = 2

6x - 3x - 4 = 2

3x = 6

x = 2

y = 3*2 + 4 = 6 + 4

= 10

6 0
3 years ago
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