How much energy would a 15,000 g block of ice need to absorb in order to
melt? The heat of fusion of ice is 333 J/g. Enter your answer to the nearest
whole number of kJ.

Answers

Answer 1

Answer:

The energy a 15,000 g block of ice will absorb in order to melt is 4995 kJ

Step-by-step explanation:

The question relates to the latent heat of fusion of ice, that is the heat absorbed by the solid ice to convert it to liquid water without changing its temperature.

The formula for the energy required to melt the ice is presented as follows;

Energy required = Mass, m × Latent heat of fusion, [tex]L_f[/tex], of ice

Hence, the mass, m, of the ice = 15,000 g

Latent heat of fusion, [tex]L_f[/tex], of ice = 333 J/g

Therefore;

Energy required = 15,000 g × 333 J/g = 4995000 J

Hence;

The energy a 15,000 g block of ice will absorb in order to melt = 4995000 J

1000 J = 1 kJ

1 J = 1/1000 kJ

Therefore, 4995000 J = (4995000 J)/(1000 J/kJ) = 4995 kJ.

Which gives;

The energy a 15,000 g block of ice will absorb in order to melt = 4995 kJ.


Related Questions

Question 1
A bike that is regularly priced at $159 has a 25% discount. How
much is the discount?
Select one:
O $119.25
O $89.50
O $124.25
O $39.75

Answers

The correct answer is B

Answer:

the last one $119.25

Step-by-step explanation:

if you buy an item at $159 with 25% discount, you will pay 159-39.75 = 119.25.

Which value is represented by point P?
A. sqrt11
B. sqrt21
C. sqrt114
D. sqrt121​

Answers

Square root 114 represents the point p.

Given,

The point P value in the given figure is between 10 and 11.

We need to find which value in the option is represented by point P.

Given options are :

Sqrt 11 = 3.31

Sqrt 21 = 4.58

Sqrt 114 = 10.67

Sqrt 121 = 11

We need to see which option gives a value between 10 and 11.

We have,

Sqrt 114 = 10.67.

We also know that point P lies between 10 and 11.

Sqrt 114 gives a value between 10 and 11.

Thus Sqrt 114 represents the point p.

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Diego had a glue stick with a diameter of 0.7 inches he sets it down 3.5 inches away from the edge of the table, but it rolls onto the floor. How many rotations did the glue stick make before it fell of the table

Answers

Answer:

about 1.6 times

Step-by-step explanation:

The glue stick make about 5 times rotations before it fell of the table .

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit.

This is a method that we use for most of the calculations in math.

We are given that Diego had a glue stick with a diameter of 0.7 inches he sets it down 3.5 inches away from the edge of the table.

3.5 / 0.7 = 5

The glue stick make about 5 times rotations before it fell of the table .

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Find the area of a circle with a radius of 8.
units?

Answers

Answer:

16

Step-by-step explanation:

Look at the attached picture

Hope it will help you

A bag contains 7 red marbles, 4 blue marbles and 5 green marbles. If three marbles are drawn out of the bag, what is the probability, to the nearest 1000th, that all three marbles drawn will be green?

Answers

Final answer:

The probability of drawing three green marbles consecutively without replacement from a bag containing different colored marbles is approximately 0.018 when calculated step by step.

Explanation:

The question is about calculating the probability of drawing three green marbles in a row from a bag that contains multiple colored marbles. To find this probability, we need to use the concept of probability without replacement.

First, calculate the probability of drawing one green marble. There are 5 green marbles out of a total of 16 (7 red + 4 blue + 5 green), so the probability is 5/16. When we draw a green marble, we do not replace it, so there are now 4 green marbles left out of 15 total marbles. The probability for the second draw is then 4/15. Lastly, for the third draw, there are 3 green marbles out of 14, making the probability 3/14.

To find the overall probability of all three events occurring, calculate the product of the individual probabilities: (5/16) * (4/15) * (3/14). This gives us 60/3360, which simplifies to 1/56. To the nearest thousandth, that is approximately 0.018.

So the probability that all three marbles drawn will be green, to the nearest thousandth, is 0.018.

The decorative plaque below is going to be beaded. If beading costs $4 per square centimeter, how much will it cost to bead the plaque?

Answers

Answer:

I did all the work and i believe the answer is 153

Step-by-step explanation:

9x5=45

12x9=108

108+45=153

Answer:

pretty sure u dont need the answer anymore, i hope you dont mind me getting some points

Step-by-step explanation:

What is 4 log Subscript one-half Baseline w + (2 log Subscript one-half Baseline u minus 3 log Subscript one-half Baseline v) written as a single logarithm? 4 log Subscript one-half Baseline 2 Superscript 4 Baseline u squared minus v cubed log Subscript one-half Baseline w Superscript 4 Baseline (StartFraction u squared Over v cubed EndFraction) log Subscript one-half Baseline (StartFraction w Superscript 4 Baseline Over u squared v cubed EndFraction) log Subscript one-half Baseline (w (StartFraction u squared Over v cubed EndFraction)) Superscript 4

Answers

the answer is b on the edg

A 10-foot ladder is leaning against a tree. The bottom of the ladder is 4 feet away from the bottom of the tree. Approximately how high up the tree does the top of the ladder reach? 2.4 feet 6.0 feet 9.2 feet 10.8 feet

Answers

Answer:

C

Step-by-step explanation:

If we were to draw a horizontal line from the bottom of the ladder to the bottom of the tree and then draw a vertical line from the bottom of the tree to the top of the ladder, we'd get a right triangle with legs as the distance between the bottom of the tree and the bottom of the ladder and the height of the ladder, and the hypotenuse is the length.

Here, we know the hypotenuse is 10 feet and that the bottom of the ladder is 4 feet away from the bottom of the tree, so use the Pythagorean Theorem to find the height:

h = [tex]\sqrt{10^2-4^2} =\sqrt{84}[/tex] ≈ 9.2 feet

The answer is C.

Answer:

9.2 feet

Step-by-step explanation:

The ladder forms a right angle triangle with the ground and the tree

10² = 4² + h²

h² = 100 - 16

h² = 84

h = 9.16515139

A dart is tossed and hits the dart board shown.
The dart is equally likely to land on any point on
the dart board. Find the probability, as a percent
to the nearest tenth, that the dart lands in the
ring surrounding the bullseye.

Answers

The probability that dart lands on ring surrounding bull eye to the nearest tenth is: 4.9%

Area of ring surrounding bulleye :

πr² ; r = 2 in

Area = π×2² = 12.56 in²

Total area of dart board :

Area of square = s²

Area = 16² = 256

The probability of dart landing in ring surrounding bull eye :

12.56 / 256 = 0.004906

Expressing as a percentage:

0.004906 × 100% = 4.9%

Mark is trying to find the length of a building block. He knows that the sum of 2.5 times the length of the block, 5 times the length of the block, and 1.9 inches is equal to 12.4 inches. What is the length of the building block?

Answers

Answer:22

Step-by-step explanation:

I think so

If you had 3 bread.choices, 4 meat
choices and 2 cheese choices how many
different sandwiches could you make? (Try
to make a tree diagram and count the end
of your branches to get your answer.)

Answers

Answer:

I think it's 15

Step-by-step explanation:

I'm just guessing

18pi rounded to the nearest whole number

Answers

Answer:

56.52 but you have to round so its 57

Step-by-step explanation:

You have to multiply 18 and pi so we will use 3.14 for pi. 18 times 3.14 will give you 56.52 but you have to round it so it will be 57. If the number is greater than 5 you round up but if it is less you round down.

18pi = 18*3.14 = 56.52

Round it to the nearest whole number

please help
A park has a shape of a regular hexagon of sides of 2km each.Ama walks a distance of 5km along the sides of the park.What is the direct distance between the start point and the end point?​

Answers

Answer: 3.61km or √13

Step-by-step explanation:

Given Data:

Sides of hexagon = 2km each

Distance walked by Ama = 5km

Therefore;

Let Ama starting position be the origin.

With this She would travel along two edges and then go halfway along a third.

Her new x- coordinate would be

= 1 + 2 + 1/2 = 7/2

Because she travels a distance of 5km which translates to 2 and half side of the Hexagon

= 2*1/2

= 1km. On her x-coordinates

For her y-coordinate we use same principles as x-coordinates

= √3 + 0 - √3/2

= √3/2

Therefore her distance walked

= √ ( (7/2)^2 + (√ 3/2)^2 )

= √ ( 49/4 + 3/4 )

= √ 13

= 3.61km

can you help out with this ​

Answers

all you have to do is plug in the 2 for x which gives you 8 as the answer
The answer is D) 8!!!!!!!!

Which of the following tables models an exponential function?

x y
0 5
1 7
2 9
3 11

x y
0 5
1 10
2 20
3 40

x y
0 5
1 6
2 8
3 11

x y
0 5
1 10
2 15
3 20

Answers

Final answer:

Among the given tables, only the table with y-values doubling as x increments by 1 represents an exponential function. This is characterized by a constant proportional rate of change in the y-values in relation to x.

Explanation:

The question asks to identify which of the given tables models an exponential function. An exponential function is a mathematical function in the form [tex]f(x) = a · b^x,[/tex] where a is not zero, b is a positive real number not equal to 1, and x is any real number. The key characteristic of an exponential function is that the rate of change (the increase or decrease) is proportional to its current value, meaning as x increases, the value of y increases or decreases at a rate proportional to its current value.

x   y
0 5
1 7
2 9
3 11

This does not represent an exponential function because the increase in y is linear.

x   y
0 5
1 10
2 20
3 40

This table models an exponential function since each y-value is doubling as x increases by 1.

x   y
0 5
1 6
2 8
3 11

This does not model an exponential function because the growth does not follow a constant ratio.

x   y
0 5
1 10
2 15
3 20

This also does not represent an exponential function as the increase in y is linear, similar to the first table.

Therefore, the table that models an exponential function is the one where the y value doubles as x increments by 1.

if Nicole saves $0.05 every day how much money will she have in 3 years

Answers

Answer:

$54.75

Step-by-step explanation:

0.05 x 365 = 18.35

18.25 x 3 = 54.75

Answer:

54.75

Step-by-step explanation:

To find this answer we will first take our 3 years and turn them into days instead.

There are 365 days in a year, so, 365 x 3 = 1095 days

Next, take the 1095 days and multiply it by the number she is saving everyday

1095 x .05 = 54.75

Nicole will have saved 54.75 in three years.

Hope this helps! :)

Write -9.31 as a mixed number.

Answers

Answer:

[tex] - 9 \frac{31}{100} [/tex]

Step-by-step explanation:

[tex] - 9.31 \times 100 = - 931[/tex]

[tex] - 9 .31 = - \frac{931}{100} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = - 9 \frac{31}{100} [/tex]

PLEASE HELP will give brainliest !!
What is the median of the afternoon (PM) group? 26,21,15,35,38,16,13,28,30,25,15,12,9,7,44,23,55,10,37,35

Answers

The median of the group is 23

The median of the afternoon (PM) group is 23.

How to solve for the median

To find the median of a set of numbers, we need to arrange them in ascending order and find the middle value.

Arranging the numbers in ascending order:

7, 9, 10, 12, 13, 15, 15, 16, 21, 23, 25, 26, 28, 30, 35, 35, 37, 38, 44, 55

There are 20 numbers in the dataset, so the middle value would be the 10th number when arranged in ascending order. In this case, the median of the afternoon (PM) group is 23.

Therefore, the median of the afternoon (PM) group is 23.

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Kristen runs a website that helps people learn programming. Every month, Kristen receives a subscription fee of $10 from each of the subscribers to a website. Last month, the website had 100 subscribers. This month, 30 new members join the website, and 10 members cancel the subscription. How much money were Christians online business and this month

Answers

Answer:

$1,200

Step-by-step explanation:

Last month was $10 x 100 = $1,000

This month was $10 x 30 = $300

This month loss was $10 x 10 = $100

$1,000 + $300 = $1,300 - $100 = $1,200

The number 47 is decreased to 44. What is the percentage by which the number was decreased, to the nearest tenth of a percent?

Answers

Answer:

6.38298% or 6.4%

hope this helps

Final answer:

To calculate the percentage decrease from 47 to 44, the difference is divided by the original number and then multiplied by 100. The result is approximately a 6.4% decrease.

Explanation:

To calculate the percentage decrease of the number from 47 to 44, we use the following formula for percentage decrease:


Percentage decrease = ((Original Value - New Value) / Original Value) × 100%


In this case, the original value is 47 and the new value is 44. So the calculation would be:


Percentage decrease = ((47 - 44) / 47) × 100%

Percentage decrease = (3 / 47) × 100%

Percentage decrease = 0.0638 × 100%

Percentage decrease = 6.38%


To give the answer to the nearest tenth of a percent, we round 6.38% to 6.4%. So, the number 47 is decreased by about 6.4% to become 44.

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0.00000003 in scientific notation

Answers

Answer:

3×[tex]10x^{-8}[/tex]

Step-by-step explanation:

0.00000003

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the  

10 . If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

A rectangle has an area of 144 ft2. The length is 16 ft. What is the width?

Answers

The width would be 9 I don’t want to explain it but if you want me to leave a comment
To find the area you multiply the length times the width so so to find the width you’d have to divide the area by the length giving you 9 for the width.

Michael recorded the number of points his team scored for the first seven basketball games.

64, 58, 60, 52, 56, 62, 54

which box plot correctly represents the data?

Answers

Answer:

The first box.

Step-by-step explanation:

The minimum is 52, the max is 64, the median is 58.

The correct option is A.

Given,

The number of points scored for the first seven basketball games.

64,58,60,52,56,62,54

On arranging it in increasing order we get,

52,54,56,58,60,62,64

The above data is ungrouped data.

We know that, The median of ungrouped data is the middle term (when the total no. terms in data is odd) on arranging the data in ascending or descending order.

So here on arranging the above data, the middle term here is 58, hence the median here is 58.

The minimum score is 52 and the maximum score is 64.

On seeing the options we find that the option A is correct because here the minimum value is 52 and the maximum is 64 and median is exactly 58.

Hence, option A is correct.

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I will give you a Brainly crown if it is right. Will you help me plzzzzzz helplpppppp

Answers

Answer:

90

Step-by-step explanation:

A semicircle is 1/2 of a circle

A circle is 360 degrees

1/2 is 180

We have 90 degrees already used on the left

180-90 = 90

b = 90 degrees

Answer:

90

Step-by-step explanation:

The whole thing equals 360

so have equals 180

and half of one 180 is 90 and you're trying to find that half of 180.

−6≥10−8x please help me solve this!1

Answers

Inequality form: x ≥ 2

WILL GIVE BRAINLIEST ANSWER TO WHOEVER ANSWERS FIRST AND CORRECTLY EXPLAIN WHY YOURE CORRECT

Answers

is there even a correct answer?

Answer:

I believe its A

Step-by-step explanation:

You have to count the units to the subway to the house

You start by counting the squares from the subway to the right till you meet the same line as the house is located than you count up from there to the house

I got 13

Sorry if its wrong

Question is in the file below.

Answers

Answer:

50  because of corresponding angles, 2 parallel lines

Step-by-step explanation:

To solve 2x + 9 = 21, what is the first step?
A.Dividing each side by 2
B.Dividing each side by x
C.Subtracting 21 from each side
D.Subtracting 9 from each side

Answers

D.) Subtracting 9 from each side.

Please help, I need an explanation!

A circus charges $5 per child ticket and $8 per adult ticket. There were 136 tickets sold for a total of $830. How many child tickets and how many adult tickets were purchased?

I know that I need to use c + a =136 and 5c + 8a = 830

Answers

Answer:

50 adult

86 child

Step-by-step explanation:

c + a =136

5c + 8a = 830

These are the two equations to use

c is the number of child tickets and a is the number of adult tickets

The total number of tickets is 136

The child tickets are 5 dollars apiece and the adult tickets are 8 dollars apiece and the total amount made is 830

I will use elimination

Multiply the first equation by -5

-5(c+a) = -5*136

-5c-5a =-680

Then add this to the second equation

-5c-5a =-680

5c +8a = 830

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

    3a  = 150

Divide each side by 3

3a/3 = 150/3

a = 50

Now we can find c

a+c = 136

50 + c = 136

Subtract 50 from each side

50+c-50 =136-50

c = 86

Answer:

child tickets: 86

adult tickets: 50

Step-by-step explanation:

C + A = 136

C = 136 - A

5C + 8A = 830

5(136 - A) + 8A = 830

680 - 5A + 8A = 830

3A = 150

A = 50

C = 136 - 50

C = 86

which which division problem does the diagram below best illustrate?


60 points ​

Answers

Answer:

Step-by-step explanation:

32 divide 4 = 8

Answer:

B- 32 divided by 4 = 8

Step-by-step explanation:

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