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3 years ago

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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,

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 > 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