The surface of a spherical conductor of radius a is kept at a temperature of u(φ)=300K+50K cos(φ). The temperature inside is governed by the Laplace equation. Find an expression for the temperature everywhere inside the sphere. Evaluate the temperature at the center of the sphere.
Answer:
It would be 34.43631578 but you can just say 34.4
Step-by-step explanation:
1. linear equation
2. rearrange the equation so 4y = 12 - 3× and then divide both sides by 4 to get:
y = 3 - 3/4×
3. equation of a straight line / linear equation
4. gradient is + 3
5. not sure sorry
6. 3x = 12 - 4y. Divide each side by 3 to get:
x = 4 - 4/3y
7. use y = 3 - 3/4x by doing and x and y table. So when x = 1, y = 3 - 3/4 (1) (replace the x which the x value you've chosen). Then plot.
8. Make up any problem such as weather, food, etc.
Hope that helps !
Answer:
108 in
Step-by-step explanation:
The figures are similar, so if we find a relation of the area and the diagonal in rectangle 1 we can apply it to rectangle 2.
rectangle 1 :
72/x=12
x=6
therefore
72/6=12
rectangle 2:
A/x=18
A/6=18
6*18=108
A=108 in
Hope this helps
~Lalagrl
Find the lateral area of a cylinder with the given measurements. Use 3.14 for pi and round your answer to the nearest tenth.
height: 15 centimeters
radius: 9 centimeters
Question 11 options:
787.3 cm2
1356.5 cm2
847.8 cm2
889.9 cm2
So we know the formula for the lateral area of a cylinder is:
AL=2πrh
now all we have to do is put the given value in place of the correct variable then solve like so:
AL=2*3.14*9*15
AL= 847.8 cm2
so the answer is the third option
hope this helps
~Lalagrl
Think: (distance traveled by faster car) - (distance traveled by slower car) = 35 mi.
Using the formula distance = rate times time, we get for the faster car:
(55 mph)(t)
and for the slower car we get (50 mph)(t), so that
(55 mph)(t) - (50 mph)(t) = 35 mi. This can be simplified as follows:
(5 mph)(t) = 35 mi. Dividing both sides by 5 mph, we get t = (35 mi) / (5 mph).
Then t = 7 hours. The two cars will be 35 miles apart, going in the same direction, after 7 hours.
