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3 years ago

I don’t know how to make a rule:(

Mathematics

1 answer:

Yuri [45]3 years ago

8 0

Answer:

*assuming you know the concept of proportionality*

since L is directly proportional to T, an increase in L will result in an increase in T

so the solution of the first part is increases

in part 2, y is inversely proportional to x

which means that an increase in y will result in a decrease in x and vice-versa

So the answer of the second part is decreases

in part 3, since x is directly proportional to y, an increase in x will result in an increase in y

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Four friends equally share the cost of their dinner that was $64 plus a 20% tip. If each person contributes $19, will that be en

Ulleksa [173]

If the dinner altogether costs £64, and there is a 20% tip, that brings the total amount paid to £76.80, and if four people are paying £19 towards the total, then there would not be enough for them to pay for both the meal and the tip, as 19x4 is 76, and the total is £76.80, meaning you need another 80 Pence.

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4 years ago

7-18 use part 1 of the fundamental theorem of calculus to find the derivative of the function.

blondinia [14]

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$\cfrac{dh}{dx}\implies \displaystyle \cfrac{d}{du}\left[ \int\limits_{1}^{u}~\cfrac{z^2}{z^4+1}dz \right]\cdot \cfrac{1}{2\sqrt{x}}\implies \left[ \cfrac{u^2}{u^4+1} \right]\cdot \cfrac{1}{2\sqrt{x}} \\\\\\ \stackrel{substituting~back}{\left[ \cfrac{(\sqrt{x})^2}{(\sqrt{x})^4+1} \right]\cdot \cfrac{1}{2\sqrt{x}}}\implies \cfrac{x}{x^2+1}\cdot \cfrac{1}{2\sqrt{x}}\implies \cfrac{\sqrt{x}}{2x^2+2}$

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2 years ago

A piece of a chain's length and weight are in proportion. If 320 cm of chain weighs 8 kg, then

Dafna11 [192]

Answer:

B. 80 cm of chain weighs 2 kg.

Step-by-step explanation:

In order to choose the correct answer, we need to define the comparative relation between the length and weight of the chain. We will do this by performing the simple operation of division.

It is easier to divide the larger number by the smaller and that is what we will show here (although you can do as you wish and still get the same result - it's math!):

320 ÷ 8 = 40

The result we got is 40. This means that the length of the chain is equal to the value of forty of its weights! And this will be the operation we will perform in order to determine the right answer:

A) Does 2 (kg) multiplied by 40 equal 40 (cm)? No, therefore, it is incorrect.

B) Does 2 (kg) multiplied by 40 equal 80 (cm)? Yes, this answer is correct!

Just in case, we will perform this action with the rest of the possible choices:

C) 4 kg × 40 = 160 and NOT 80 cm.

D) 2 kg × 40 = 80 and NOT 160 cm.

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3 years ago