How much energy does it take to melt 2 kg of ice? (Refer to table of
constants for water.)
1 mol
O A. 2 kg > 1000 g/kg *
18.02 g
X
x 40.65 kJ/mol = 4512 kJ
1 mol
B. 2 kg x 1000 g/kg *
*(-285.83 kJ)/mol = -31,724 kJ
18.02 g
O C. 2 kg > 1000 g/kg x
1 mol
18.02 g
x 6.03 kJ/mol = 669 kJ
O D. 2 kg > 1000 g/kg *
1 mol
18.02 g
x 4.186 kJ/mol = 465 kJ

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[tex] \frac{2}{3} + \frac{4}{3} = \frac{6}{3} = 2 \\ [/tex]

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20 different pizzas

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

Explanation:

Consider 3 slots to fill. I'll label them slot A, B, C.

There are 6 choices for slot A, then 5 choices for B, and 4 for C. We count down by one each time since we cannot reuse a topping.

There would be 6*5*4 = 30*4 = 120 permutations if order mattered.

However, order doesn't matter with pizza toppings. So we must divide by 3*2*1 = 6 (this is the number of ways to arrange any group of 3 things)

We get 120/6 = 20 as the final answer

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Alternatively, you can use the nCr combination formula following these steps.

n C r = (n!)/(r!(n-r)!)

6 C 3 = (6!)/(3!*(6-3)!)

6 C 3 = (6!)/(3!*3!)

6 C 3 = (6*5*4*3!)/(3!*3!)

6 C 3 = (6*5*4)/(3!)

6 C 3 = (6*5*4)/(3*2*1)

6 C 3 = (120)/(6)

6 C 3 = 20 different pizzas possible

As the third to the last line shows, we have 6*5*4 up top and 3*2*1 down below. This matches exactly what was discussed in the previous section.

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Yet another alternative is to use Pascal's Triangle (see below) and we locate the row that has 1,6,... at the start. We circle the fourth item of this row that corresponds to 6C3 = 20

Answer:

In this case, the area is more useful to find out how much the paint covers.

This is, because the circumference is the perimeter of the table whilst the area is the whole region of the table.

So to find out the area of this table, we must use the formula for the area of a regular circle.

A = π[tex]r^{2}[/tex]

Where 'π' represents pi(22/7 or 3.14), and 'r' represents the radius which is being squared.

But, if we see the information that we have, we can see that it gives the diameter and not the radius.

So in order to find out our radius, we must perform 1/2 of the diameter(1/2 x diameter) to find the radi.

30(diameter) x 1/2

= 15 is the radius.

Now we substitute this value into our equation, since it's the only information we need.

A = π[tex]r^{2}[/tex]

A = 3.14(15^2)

A = 3.14(225)

A = 706.5 square inches of paint is needed to cover the table.

Answer:

D.) the solution is 9

Step-by-step explanation:

9x9 = 81

Answer:

1.  B

2. A

3. C

4. A

I hope this helps!

Answer:

x=6

Step-by-step explanation:

2x-5x+20=-7+5x-21

-3x-5x=-7-21-20

-8x=-48

x=6

Answer:

x=6

Step-by-step explanation:

2x-5x+20=5× -28

-3x+20=5x-28

-8x=-48

x=6

check:

2x-5(2)=-30-28

12-10=2

2=2

Answer:

Each pretzel had cost $6.30

Step-by-step explanation:

You would have to subtract 22.00 - 15.70 and that would be your answer ($6.30)

Answer:

Each pretzel cost $2.10

Step-by-step explanation:

First,

Take your original amount and subtract it by your remanding amount:

22 - 15.70 = 6.30

Then, divide by three, since we bought three pretzels:

6.30 / 3 = 2.10       or       6.30 ÷ 3 = 2.10

So, each pretzel cost $2.10

Answer:

k = 8

Step-by-step explanation:

8(10 - k) = 2k

First, distribute within the parenthesis,

80 - 8k = 2k

Add 8k to both sides of the equation

80 = 10k

Divide both sides by 10 to get your answer

8 = k

I hope this helps :)

Answer:

The third option, x < -2 or x ≥ 4

Step-by-step explanation:

First, we need to interpret the graph.

There is an open circle at -2 and a closed circle at 4, which means that x does not include 2 and includes 4.

The left arrow points to numbers lower than -2, and the right arrow points to numbers greater than 4, so X is less than -2 and greater than 4.

Answer:

The solution to the system is: (3, 2)

Step-by-step explanation:

We are given:

y = -2x + 8

and

4x - 2y = 8

We are given the "y" in this equation.

So when solving these questions, it is better to use the substitution method when solving

So we substitute "y = -2x + 8" with "y" in the equation "4x - 2y = 8

So, the equation would look like this: 4x - 2(-2x + 8) = 8

And we are solving for "x" in the equation

4x − 2(−2x + 8) = 8  (Distribute)

−2(−2x+8)  (Simplify)

4x + 4x − 16 = 8  (Combine Like Terms)

(4x + 4x) − 16 = 8  (Simplify)

8x − 16 = 8  (Add 16 to both sides)

8x - 16 + 16 = 8 + 16  (Simplify)

8x = 24  (Divide both sides by 8)

8x/8 = 24 (Simplify)

x = 3

Now that we know the "x", in this equation, we can solve for the "y"

We just substitute the "x" into the equation "y = -2x + 8"

The equation looks like this: y = -2(3) + 8

y = -2(3) + 8

Multiply −2 and 3 to get −6

y = -6 + 8

Add −6 and 8 to get 2

y = 2

(x, y) = (3, 2)

The solution to the system is: (3, 2)

Step-by-step explanation:

(1.7x10^4) x (8.5x10^-2)

17000 × 0.085

= 1445

Answer:

100.695

Step-by-step explanation:

w = 60 lb (amt. of walnuts needed)

100-w = 40 lb (amt. of peanuts needed)

Answer:

The loser had 5.5 points

The he winner had 9.5  points

Step-by-step explanation:

9.5 - 5.5 = 4

5.5 + 9.5 = 15

Step-by-step explanation:

find distance of AC first

ac= √(y2-y1)²+(x2-x1)²

since there is no y we will consider it zero

so Ac= √(16-(-8))²

ac=24

ab is 1/3 of ac so it means

24*1/3=8

so ab is 8 units

The location of point B on the number line is 0.

Given that,
on the number line, point b is between points a and c. the distance between points a and b is 1/3 of ac.

A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.

Here,
AB = 1/3 AC
AB = 1/3 (16 - (-8))
AB = 1/3 (16 + 8)
AB = 1/3 * 24
AB = 24 / 3
AB = 8
B - A = 8
B - (-8) = 8
B + 8 = 8
B = 8 - 8
B = 0

Thus, location of the point B on the number line is at 0.

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Answer:

its the one on the bottom left.

it has the proper demision just look at the sides and they match up

Hope This Helps!!!

Answer: The net which can represent the solid figure given in image 1 is the net in image 4.

Step-by-step explanation:

Step-by-step explanation:

total weight = 81 + 97+69+75+74+96+86+53 = 613kg

2 people will have to wait

Answer:

Step-by-step explanation:

Circumference of a circle = 2πr

where

r is the radius

From the question

r = 20 cm

We have

C = 2(20)π

= 40π

= 125.663706143592...

We have the final answer as

Hope this helps you

Answer:

2.1 x 10^8

Step-by-step explanation:

The expression (7x10⁵)x(3x10²) in the standard form will be 2.1 x 10⁸.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is (7x10⁵)x(3x10²). The standard form of the expressions can be written as,

E = (7x10⁵)x(3x10²)

E = ( 7 x 3 ) x ( 10⁵⁺²)

E = 21 x 10⁷

E = 2.1 x 10⁸

Hence, the standard form is 2.1 x 10⁸.

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Balance of trade is the difference that is between the value of a country's exports and the value of its imports.

Your information is incomplete. Therefore, an overview will be given. The balance of trade or net exports, is the difference between the monetary value of a nation's exports and imports over a period.

The balance of Trade formula = Country's Exports – Country's Imports.

For example, suppose the USA imported $1.8 trillion but exported $1.2 trillion to other countries, then the USA had a trade balance of -$600 billion.

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Answer:

The correct answer is A. $6,221,000,000

Step-by-step explanation:

just took the test

Answer:

60%

Step-by-step explanation:

The total is 90 students, and 54/90 is 0.6. 0.6 is equal to 60%!

Answer:

16 horses and 12 chickens

Number of chickens and Number of horses are 16 and 12 respectively.

Given that:

Total number of heads = 28

Total number of legs = 80

Find:

Number of chickens and horses

Computation:

Assume;

Number of chickens = a

Number of horses = b

So,

a + b = 28 ........ Eq1

2a + 4b = 80 ...... Eq2

From Eq1 and Eq2

b = 12

a = 16

Find out more information about 'Number of horses'.

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Answer:

197 in^2

Step-by-step explanation:

See attached image

Answer:

y=-5x+25

That is the answe in slope intercept form

Answer:

Question 1

The greatest number of treasure chest you can fill = 23

Step-by-step explanation:

Gold coins = 46

Diamonds = 115

Rubies = 184

To determine the greatest number of treasure chests you can fill, find the highest common factors of 46, 115 and 184

46 = 1, 2, 23, 46.

125 = 1, 5, 23, 115

184 = 1,2,4,8,23,46,92,184

The highest common factors of 46, 115 and 184 is 23

The greatest number of treasure chest you can fill = 23

Number of gold coins in each chest = 46/23

= 2

Number of diamonds in each chest = 115 / 23

= 5

Number of rubies in each chest = 184 /23

= 8

Question 2

Nickels = 246

Dimes = 312

Quarters = 204

Find the highest common factor of 246, 312, 204

246 = 1, 2, 3, 6, 41, 82, 123, 246

312 = 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312.

204 = 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

The highest common factor of 246, 312, 204 is 6

How many are in your group?

6 members

There are 6 members in your group that each person got the same exact amount of each coin with no coins remaining.

Number of nickels each person receive = 246 / 6

= 41

Number of dimes each person receive = 312 / 6

= 52

Number of quarters each person receive = 204 / 6

= 34

Answer:

No

Step-by-step explanation:

Since a is in absolute value symbols, you would be adding a positive number to 1, and therefore cannot have a number lower than 0.

For example, say a = -3. We would get 1 + |-3| = 4.

Answer:

No

Step-by-step explanation:

Because the vertical lines mean the absolute value of a.

-  a negative value of a like -2 in vertical lines  has absolute value 2.

If a = 0 then absolute value = 0.

So 1+|a|   will always be positive.