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Tasya [4]
3 years ago
7

Drag each tile to the correct box.

Mathematics
1 answer:
Zielflug [23.3K]3 years ago
6 0

The amount of heat depends on three factors:-

#Mass of the material used in bowls.

#Specific heat capacity of the material used in bowls.

#Temperature change.

So, (change in energy) = (mass) x (specific heat capacity) x (temperature change)

Temperature Change = (Change in energy) / (mass x specific heat capacity)

It says "The bowls start at the same temperature, and then the same amount of heat is added to each bowl". It means temperature change varies inversely with product of mass and specific heat capacity.

Higher the product of mass and specific heat capacity, Lower the temperature change, Cooler the bowl will be.

Water’s specific heat capacity is 4.186 joules/gram degree Celsius. Mercury’s specific heat capacity is 0.140 joules/gram degree Celsius.

Water and mercury are put into three identical bowls:

#Bowl A contains 20 grams of water.

#Bowl B contains 40 grams of water.

#Bowl C contains 20 grams of mercury.

So, we have (40g x 4.186 J/g) > (20g x 4.186 J/g) > (20g x 0.140 J/g)

It means temperature change in <u>Bowl B < Bowl A < Bowl C.</u>

<u>Hence, Order of the bowls from coolest to warmest, based on their final temperatures would be</u><u> Bowl B < Bowl A < Bowl C.</u>

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hoa [83]

S_{30} = 1455

generate a few terms of the sequence using a_{n} = 3n + 2

a_{1} = ( 3 × 1) + 2 = 5

a_{2} = (3 × 2) + 2 = 8

a_{3} = (3 × 3 ) + 2 = 11

a_{4} = (3 × 4 ) + 2 = 14

a_{5} = ( 3 × 5 ) + 2 = 17

the terms are 5, 8, 11, 14, 17

these are the terms of an arithmetic sequence

sum to n terms is calculated using S_{n} = \frac{n}{2} [ 2a + (n-1)d]

where a is the first term and d the common difference

d = 8 - 5 = 11 - 8 = 14 - 11 = 3 and a_{1} = 5

S_{30} = \frac{30}{2} [( 2 × 5) + (29 × 3) ]

= 15( 10 + 87) = 15 × 97 = 1455



3 0
3 years ago
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Subtract 4 from both sides of the equation. It looks familiar now right? (y=mx+b is a linear equation)
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Answer:

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I have a different number of kids &amp; can't seem ton find the correct numbers
bija089 [108]
<h3>Answer: </h3><h3>Fred has <u>20 students</u> and Lee has <u>22 students</u></h3>

=============================================================

Work Shown:

L = number of students in Lee's class

F = number of students in Fred's class

Lee has 1.1 times as many students compared to Fred

This means we have this equation

L = 1.1F

Whatever the value of F is, we multiply that by 1.1 to get the value of L

The two amounts L and F add to 42 total students

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1.1F + F = 42 .... replace L with 1.1F

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F = 42/(2.1)

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L = 1.1*20

L = 22 .... Lee has 22 students

------------

Check:

L+F = 22+20 = 42

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