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Elenna [48]
3 years ago
15

9. (a) Assume that the insulation around a rod is faulty in that the heat in each small slab leaks through the insulation at a r

ate proportional to the temperature of the slab. Show that the temperature u(x,t) then obeys the equation u,

Mathematics
1 answer:
Allushta [10]3 years ago
5 0

Answer: see attached file

Step-by-step explanation:

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What is the slope of this graph?
Verdich [7]

Answer:

6/12 or 1/2 which is 0.5

Step-by-step explanation:

I hope this is right, because I'm doing this stuff as well in class.

Slope is always rise over run. It is rising by 6 and it is running (going across) by 12. This fraction (6/12) can be simpiled to 1/2 and that can be narrowed down to 0.5.

Hope this is clear and correct.

8 0
3 years ago
4 1/2 ​ ÷(−1 3/7​ ) please help and hurry
myrzilka [38]

Hi! I'm happy to help!

To first solve this, we need to make those mixed numbers improper fractions.

To make 4 1/2 an improper fraction, you have to turn 4 into halves (multiply four by 2) then add the extra half, giving you 9/2.

\frac{9}{2}​ ÷(−1\frac{3}{7}​ )

Now, we turn 1 3/7 into an improper fraction. We turn 1 into sevenths (multiply 1 by 7) then add the other 3 sevenths, giving you 10/7.

\frac{9}{2}​ ÷(−\frac{10}{7}​ )

From here, we need to turn this problem into a multiplication problem in order to solve. Since multiplication is the opposite of division, we need to get the opposite of something, so we use our second fraction and flip it.

\frac{9}{2}​ ×(−\frac{7}{10}​ )

Now, we multiply the top by the top, and the bottom by the bottom. (any positive multiplied by a negative gives a negative)

-\frac{63}{20}

<u>Since we cannot simplify, our final answer is -63/20.</u>

I hope this was helpful, keep learning! :D

6 0
3 years ago
Read 2 more answers
Simplify completely (x^2+x-12)/(x^2-x-20)÷(3x^2-24+45)/(12x^2-48x-60)
likoan [24]
<span>To simplify the expression, we can check if there are terms that are needed to be added or subtracted. In this case, there are none. We get the factors of 4 equations present in the expression. 
</span><span>x^2+x-12 = {3,-4}
</span><span>x^2-x-20 = {5,-4}
</span><span>3x^2-24+45 = {5,3}
</span><span>12x^2-48x-60 = {5,-1}</span> 

hence we cancel 5 and from numerator and denominator.

the answer is  (x+4)^2/ (x-5)*(x+1)
6 0
3 years ago
A recipe requires 1/4 of a cup of cranberries for 1 batch of scones. How many batches of scones can be made using 6 1/2 cups of
noname [10]
I believe you could make 32 batches of scones. 

Hope this helped :)
8 0
3 years ago
Read 2 more answers
Given:<br> DBC = RST<br><br> Prove:<br> ABC &gt; RST
masya89 [10]

Answer:

<h3><ABC  >  <DBC.</h3>

Step-by-step explanation:

Given < DBC = < RST and we need to prove < ABC is greater than <RST.

First given statement:

< DBC = < RST

Reason: Given.

Second given statement :

<ABC = <DBC+  <ABD.

Reason: Angle addition theorem.

<em>Note: < ABC is the sum of angles <DBC and  <ABD and we have < DBC = < RST. So it's an obvious thing that the sum of angles <DBC and  <ABD is always greater than <RST.</em>

Also,  <ABC is greater than <DBC.

Therefore, correct option for third statement is :

<h3><ABC  >  <DBC.</h3>
5 0
3 years ago
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