PLEASE HELP FAST!!! :) The mass of the Rock of Gibraltar is 1.78 ⋅ 10^12 kilograms. The mass of the Antarctic iceberg is 4.55 ⋅ 10^13 kilograms. Approximately how many more kilograms is the mass of the Antarctic iceberg than the mass of the Rock of Gibraltar? Show your work and write your answer in scientific notation. Make sure to explain all the steps it took you to get the answer! :)

QUESTION POSTED AT 15/01/2020 - 01:31 AM

Answered by admin AT 15/01/2020 - 01:31 AM

The answer is 43.72 × 10¹² kg.

It is given:
the mass of the Rock of Gibraltar:
m₁ = 1.78 × 10¹² kg

the mass of the Antarctic iceberg:
m
₂ = 4.55 × 10¹³ kg = 4.55 × 10 × 10¹² kg = 45.5 × 10¹² kg

To calculate how many more kilograms 
is the mass of the Antarctic iceberg than the mass of the Rock of Gibraltar we need to subtract them:
m₂ - m₁ = 45.5 × 10¹² kg - 1.78 × 10¹² kg
m₂ - m₁ = (45.5 - 1.78) × 10¹² kg
m₂ - m₁ = 43.72 × 10¹² kg
Post your answer

Related questions

An engraving machine costs $28,000 with a residual value of $1,900. The machine is expected to have a useful life of 150,000 hours. The machine is used 15,000 hours the first year and21,000 hours the second year. Calculate the depreciation expense for year two and show your work.

Depreciation is the process of a business body to allocate an assets cost over its duration of services or useful time in use. You can use the formula of Straight line method which the quotient of the difference of original cost of assets and the scrap value and the estimated life of assets. So in calculating the engraving machines has a 1.5k of yearly depreciation so 3K and more is the 2 year depreciation of its use. 

ANSWERED AT 27/01/2020 - 01:44 AM


QUESTION POSTED AT 27/01/2020 - 01:44 AM

A condition statement uses à as its notation ?

So is it True or False????

ANSWERED AT 27/01/2020 - 01:40 AM


QUESTION POSTED AT 27/01/2020 - 01:40 AM

How many different sandwiches can you make using one spread, one type of bread, and one type of meat?

You can make 9 sandwiches

ANSWERED AT 27/01/2020 - 01:39 AM


QUESTION POSTED AT 27/01/2020 - 01:39 AM

The surface areas of two similar solids are 1008cm^2 and 1372ccm^2. the volume of the larger solid is 1801cm^3 find the volume of the smaller solid round your answer to the nearest hundredth

This can be treated as a proportion problem.

Larger solid: 
Surface area = 1,372 cm²
Volume = 1,801 cm³

Smaller solid:
Surface area = 1,008cm²
Volume = ?

1,372 / 1,801 = 1008 / x
1,372 * x = 1,801 * 1008
1,372x = 1,815,408
x = 1,815,408 / 1,372
x = 1,323.18

The volume of the smaller solid is 1,323.18 cm³

ANSWERED AT 27/01/2020 - 01:38 AM


QUESTION POSTED AT 27/01/2020 - 01:38 AM

You (or your parents) are debating about whether to buy a new car for $19,072.00 or a used car for $15,635.00. Sales tax is 4.5%. You (or your parents) plan to make a down payment of $1,200.00 and your credit rating is fair. Use the table below to determine the difference in interest accrued by the end of the first month. Secured Unsecured Credit APR (%) APR (%) Excellent 4.80 5.25 Good 5.15 5.65 Average 5.85 6.20 Fair 7.00 7.65 Poor 8.20 9.15

            Secure      Unsecured
Credit   APR           APR
FAIR      7.00           7.65
 
                                  Brand new            Used Car
Purchase Price:      19,072                   15,635
Sales Tax 4.5%      
(price x 4.5%)                858.24                   703.58
Total price                19,930.24               16,338.58
Downpayment          (1,200.00)              (1,200.00)
For financing           18,730.24                15,138.58

Interest: Brand New:
Secured : 18,730.24 * 7% * 1/12  = 109.26
Unsecured: 18,730.24 * 7.65% * 1/12 = 119.41

Interest: Used Car
Secured: 15,138.58 * 7% * 1/12 = 88.31
Unsecured: 15,138.58 * 7.65% * 1/12 = 96.51

ANSWERED AT 27/01/2020 - 01:29 AM


QUESTION POSTED AT 27/01/2020 - 01:29 AM

Which sequence is generated by the function f(n 1) = f(n) – 2 for f(1) = 10? (a) –10, –12, –14, –16, –18, ... (b) –2, 8, 18, 28, 38, ... (c) 8, 18, 28, 38, 48, ... (d) 10, 8, 6, 4, 2, ...

You skiped one operator.

I assume that the function is f(n+1) = f(n) - 2.

f(1) = 10
f(2) = f(1) - 2 = 10 - 2 = 8
f(3) = f(2) - 2 = 8 - 2 = 6
f(4) = f(3) - 2 = 6 - 2 = 4
f(5) = f(4) - 2 = 4 -2 = 2

So the sequence, is 10, 8, 6, 4, 2, ... [option d]

ANSWERED AT 27/01/2020 - 12:40 AM


QUESTION POSTED AT 27/01/2020 - 12:40 AM

Vineet solved a system of equations by substitution. in his work, he substituted an expression for one of the variables and solved for the value of the other. this resulted in the equation 7 = 9. what can vineet conclude? (a)the solution to the system is (7, 9). (b)the system of equations does not have a solution. (c)the work must be incorrect because it is not possible to get this equation. (d)the system of equations has infinitely many solutions.

Answer:

The correct option is (b) The system of equations does not have a solution.

Step-by-step explanation:

Let us understand this with the help of an example:

Consider the equations:

x+y=1 ......(1)

and

9x+9y=7......(2)

Now, solve this with the help of substitution method as shown:

The equation (1) can be written as:

x = 1 - y

Substitute x = 1 - y in equation (2).

9(1 - y)+ 9y = 7

9 - 9y + 9y = 7

9 = 7

Which is not true.

There is no mistake in calculation. The both equation are parallel to each other that is why there is no solution for the equation.

Hence, the correct option is (b) The system of equations does not have a solution.

The graph of these two lines is shown as in figure 1.

ANSWERED AT 27/01/2020 - 12:39 AM


QUESTION POSTED AT 27/01/2020 - 12:39 AM

A customer went to a garden shop and bought some potting soil for $11.50 and 9 shrubs. the total bill was $94.75. write and solve an equation to find the price of each shrub. a. 9p 11.5p = $94.75; p = $4.62 b. 9p $11.50 = $94.75; p = $11.75 c. 9p $11.50 = $94.75; p = $9.25 d. 9(p $11.50) = $94.75; p = $5.00

Let

p---------> the price of each scrub

s----------> the price of the potting soil

T--------> total bill

we know that

 T=9p+s

in this problem

 T=\$94.75\\ s=\$11.50\\p=?

substitute the values in the formula above

 \$94.75=9p+\$11.50

solve for p

 9p=94.75-11.50

 9p=83.25

 p=9.25

therefore

the answer is the option C

 \$94.75=9p+\$11.50

 p=9.25


ANSWERED AT 27/01/2020 - 12:39 AM


QUESTION POSTED AT 27/01/2020 - 12:39 AM

Bailey writes the expression g2 14g 40 to represent the area of a planned school garden in square feet. if g = 5, what are the dimensions of the school garden? 20 feet by 2 feet 10 feet by 4 feet 12 feet by 7 feet 15 feet by 9 feet

To solve this, we must first factor g^2 + 14g + 40 to find the side lengths that are being multiplied. The factorization is (g + 4)(g + 10). Now that we have the factors, plug in 5 for g in each factor. So, the dimensions are 15 feet by 9 feet.

ANSWERED AT 27/01/2020 - 12:39 AM


QUESTION POSTED AT 27/01/2020 - 12:39 AM

A square stained glass window is divided into four congruent triangular sections by iron edging to represent the seasons of the year. each diagonal of the square window measures 9 inches. what is the approximate total length of iron edging needed to create the square frame and the two diagonals? 43.5 inches 50.9 inches 54.0 inches 61.5 inches

Diagonal of the square (d):
d = a · √2 = a · 1.414   ( a is a length of a side of the square )
a =  9 : 1.414 = 6.365 inches
Total length:
4 · a + 2 · d = 4 · 6.365 + 2 · 9 = 25.46 + 18 = 43.46 ≈ 43.5 inches.
Answer: A ) 43.5

ANSWERED AT 27/01/2020 - 12:35 AM


QUESTION POSTED AT 27/01/2020 - 12:35 AM

A boat makes a 120-mile trip downstream in 3 hours but makes the return trip in 4 hours. what is the rate of the boat in still water?

Let b equal the speed of the boat in still water.
Let c equal the speed of the current.
Going downstream, we can write the equation:
b+c=\frac{120}{3}
which can be rearranged to:
3b + 3c = 120 ............(1)
Going upstream, we can write the equation:
b-c=\frac{120}{4}
which can be rearranged to:
4b - 4c = 120 .............(2)
Multiplying equation (1) by 4, and multiplying equation (2) by 3 we get:
12b + 12c = 480 ........(3)
12b - 12c = 360 .........(4)
Adding equations (3) and (4) results in the following equation:
24b = 840
b=\frac{840}{24}=35\ mph


ANSWERED AT 27/01/2020 - 12:33 AM


QUESTION POSTED AT 27/01/2020 - 12:33 AM

Which is a correct first step in solving the inequality –4(2x – 1) > 5 – 3x? distribute –4 to get –8x 4 > 5 – 3x. distribute –4 to get –8x – 1 > 5 – 3x. subtract 2x from both sides of the inequality. add 1 to both sides of the inequality.

Answer:

A correct first step in solving the inequality –4(2x – 1) > 5 – 3x is:

distribute –4 to get –8x +4 > 5 – 3x

Step-by-step explanation:

We have to solve the inequality:

-4(2x-1)>5-3x

Distributing -4 , we get:

-4×2x-4×(-1)>5-3x

-8x+4>5-3x

Hence, a correct first step in solving the inequality –4(2x – 1) > 5 – 3x is:

distribute –4 to get –8x +4 > 5 – 3x

ANSWERED AT 27/01/2020 - 12:31 AM


QUESTION POSTED AT 27/01/2020 - 12:31 AM

Make the following conversion. 60 dkm = _____ km 0.60 0.060 6,000 60,000

0.60 km is the answer


ANSWERED AT 27/01/2020 - 12:22 AM


QUESTION POSTED AT 27/01/2020 - 12:22 AM

Can somebody answer this asap?!!!

1) 10.542cm
2) 24cm
3)The image is cut
4)22.165
5)11.124cm

ANSWERED AT 27/01/2020 - 12:10 AM


QUESTION POSTED AT 27/01/2020 - 12:10 AM

Write 135% as a fraction in simplest form. a. b. c. d.

It's 27/10 or 2 7/10.

ANSWERED AT 26/01/2020 - 11:54 PM


QUESTION POSTED AT 26/01/2020 - 11:54 PM

When solving a system of equations, Jared found y = x + 10 for one equation and substituted x + 10 for y in the other equation. Nicole found x = y – 10 for the same equation and substituted y – 10 for x in the other equation. Who is correct? Explain.

Answer:

Both Jared and Nicole are correct. You can solve for either variable and use the equivalent expression to create a one-variable equation. Then you can solve. Jared would have created a one-variable equation that can be used to solve for x, whereas Nicole would have created a one-variable equation that can be used to solve for y.

Step-by-step explanation:

ANSWERED AT 26/01/2020 - 11:54 PM


QUESTION POSTED AT 26/01/2020 - 11:54 PM

What is this proper scientific notation for 0.000476?

To convert the number to one that is 1 or greater and less than 10 we must multiply by 10,000. Therefore the converted number is as follows:
0.000476=4.76\times 10^{-4}

ANSWERED AT 26/01/2020 - 11:54 PM


QUESTION POSTED AT 26/01/2020 - 11:54 PM

Write 8% as a fraction

8/100 is 8% as a fraction.

ANSWERED AT 26/01/2020 - 11:50 PM


QUESTION POSTED AT 26/01/2020 - 11:50 PM

The dot plots below show the ages of students belonging to two groups of painting classes: a dot plot shows two divisions labeled group a and group b. the horizontal axis is labeled as age of painting students in years. group a shows 1 dot at 9, 7 dots at 10, 8 dots at 15, 8 dots at 17, and 6 dots at 19. group b shows 6 dots at 10, 5 dots at 14, 6 dots at 18, 5 dots at 25, 4 dots at 28, and 4 dots at 29. based on visual inspection, which group most likely has a lower mean age of painting students? explain your answer using two or three sentences. make sure to use facts to support your answer.

Group A:
1 dot at 9:     1 x    9 =     9
7 dots at 10: 7 x 10 =   70
8 dots at 15: 8 x 15 = 120
8 dots at 17: 8 x 17 = 136
6 dots at 19: 6 x 19 = 114

Mean: (9+70+120+136+114) / (1+7+8+8+6) = 449/30 = 14.97

Group B:
6 dots at 10: 6 x 10 = 60
5 dots at 14: 5 x 14 = 70
6 dots at 18: 6 x 18 = 108
5 dots at 25: 5 x 25 = 125
4 dots at 28: 4 x 28 = 112
4 dots at 29: 4 x 29 = 116

mean: (60+70+108+125+112+116) / (6+5+6+5+4+4) = 591 / 30 = 19.70

The group that has a lower mean age of painting students is Group A. Its mean is 14.97 or 15 years of age.

ANSWERED AT 26/01/2020 - 11:48 PM


QUESTION POSTED AT 26/01/2020 - 11:48 PM

Carlos and maria drove a total of 217 miles in 4.1 hours. carlos drove the first part of the trip and averaged 52 miles per hour. maria drove the remainder of the trip and averaged 54 miles per hour. for approximately how many hours did maria drive? round your answer to the nearest tenth if necessary.

C = hours Carlos drove, M = hours Maria drove.
52*C+54*M = 217
C = 4,1-M
52*(4,1-M)+54M = 217
213,2-52M+54M = 217
217-213,2 = 54M-52M
3,8 = 2M
M = 1,9
Maria drove 1,9h.

ANSWERED AT 26/01/2020 - 11:46 PM


QUESTION POSTED AT 26/01/2020 - 11:46 PM

The first few steps in solving the quadratic equation 5x2 27x = 14 − 13x by completing the square are shown. 5x2 27x = 14 − 13x 5x2 40x = 14 5(x2 8x) = 14 which is the best step to do next to solve the equation by completing the square? 5(x2 8x 16) = 30 5(x2 8x 16) = 94 5(x2 8x 4) = 18 5(x2 8x 4) = 34

The best step to do next is to add 80 to both sides of equation:
5 ( x² + 8 x ) + 80 = 14 + 80
and since  80 =  5 · 16
5 ( x² + 8 x + 16 ) = 94   Answer : B ) 
After that we will continue like this:
5 ( x + 4 )² = 94 
( x + 4 )² = 18.8 ... etc

ANSWERED AT 26/01/2020 - 11:37 PM


QUESTION POSTED AT 26/01/2020 - 11:37 PM

Which would be a good estimate for the tax on $97.95 if the tax is 9.5%?$12$10.50$10$8.50

First you need to turn 9.5% into a decimal so you need to move the dot " . " over to the left two times 9.5 ---> .95 ---> .095
Now that you turned the % into a decimal all thats left to do is multiply .095 by $97.95
$97.95 * .095= $9.30525 or $9.31
So the tax is $91.31

ANSWERED AT 26/01/2020 - 11:36 PM


QUESTION POSTED AT 26/01/2020 - 11:36 PM

Michelle wants to borrow $4,500. bank a will lend michelle the money at a simple annual interest rate of 9% for 6 years. bank b will lend her the money at 11% for 4 years. which bank would charge michelle the least amount of interest? explain.

Answer:

Bank B will charge her the least amount of interest with a Total amount owed of $6,480

Step-by-step explanation:

Great question, it is always good to ask away and get rid of any doubts that you may be having.

To solve this problem we will be using the Simple Interest Formula as shown below.

A = P(1 + rt)

Where:

  • A = Total Amount (principal + interest)
  • P = Principal Amount
  • r = Rate of Interest per year in decimal
  • t = Time Period involved in months or years

Now that we have the formula we can plug in the values for each bank and solve for the total amount they will charge Michelle.

Bank.A = 4,500(1 + (0.09*6))

Bank.A = 4,500*1.54

Bank.A = 6,930

Bank.B = 4,500(1 + (0.11*4))

Bank.B = 4,500*1.44

Bank.B = 6,480

Based on the calculations above we can see that Bank B will charge her the least amount of interest with a Total amount owed of $6,480

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

ANSWERED AT 26/01/2020 - 11:32 PM


QUESTION POSTED AT 26/01/2020 - 11:32 PM

The weight (w) of an object is the product of its mass (m) in kilograms and g, the acceleration due to gravity in meters/second2. if the acceleration due to gravity is 9.8 meters/second2, find the corresponding weights for these masses. mass in kilograms = {22.1, 33.5, 41.3, 59.2, 78} the weights (in newtons) for the given masses are .

You have all values that needed to solve the task. Just use the simple formula w = m*g = kg* \frac{m}{s^2} = N . As you see I also gave you the origin of Newton. I don't give you a direct answer because it will be more helpful if you understand it using given formula.

ANSWERED AT 26/01/2020 - 11:28 PM


QUESTION POSTED AT 26/01/2020 - 11:28 PM

Write down a pair of integers whose sum is –3

Answer:

The pair of two integers such that their sum is -3 are : 6 and -9

Step-by-step explanation:

Integers : This includes the set of all counting numbers and their additive inverses . This set is denoted by Z

Now, we need to find the pair of integers such that their sum is -3

Let x be any integer and the second integer by y

Let x = 6

Now, x + y = -3

⇒ 6 + y = -3

⇒ y = -9

So, The required pair of integers is : 6 and -9

Hence, The pair of two integers such that their sum is -3 are : 6 and -9

ANSWERED AT 26/01/2020 - 11:15 PM


QUESTION POSTED AT 26/01/2020 - 11:15 PM

How to write 0.2 in words

Sit squarely facing the edge of your desk, feet flat on the floor, back straight,
chin up, pencil held firmly but not too tight, approximately the lower half of the
forearm supported by resting on the desk.  On the paper, write the words

                               " two tenths ".

ANSWERED AT 26/01/2020 - 11:13 PM


QUESTION POSTED AT 26/01/2020 - 11:13 PM

On the freeway, it is unsafe to drive too slowly or too quickly. the safest driving speeds on the freeway near allan’s town were scientifically determined to be between the minimum and maximum speeds (in miles per hour) according to the equation |x – 55| = 4.2. which equation can be used to determine the maximum safe driving speed?

|x – 55| = 4.2

where x is the speed.

-4.2 < x - 55 < 4.2

-4.5 + 55 < x < 55 -4.2

50.8 < x < 59.2

The upper boundary for x is 59.2 

The speed must be in the range  55 - 4.2 to 55 + 4.2.

ANSWERED AT 26/01/2020 - 11:12 PM


QUESTION POSTED AT 26/01/2020 - 11:12 PM

The odometer shows a palindromic number, a number that is the same written forwards and backwards. Two hours later the number is palindromic again. How fast was the car going, if the first number was 15,951 miles?

55 MPH.

Here's my thinking.

I started with the premise that an average speed is about 60 MPH. Well, that means in one hour, you would have driven 60 miles. In another hour, that's 120 miles. So, I added 120 to 15,851.

15, 951

+   120

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

16, 071

But, I'm looking for a palindromic number that's close to that. And, sure enough, there IS such a number: 16, 061.

That would mean that you traveled 110 miles:  (16,061 - 15,951)

Plug this data into the formula:   S = D/T  (Speed = distance divided by time)

S = 110/2

S = 55 (MPH)

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

Pretty cool, huh?

       


ANSWERED AT 26/01/2020 - 11:04 PM


QUESTION POSTED AT 26/01/2020 - 11:04 PM

Julia enjoys shooting paper balls into the wastebasket across her office. She misses the first shot 50% of the time. When she misses on the first shot, she misses the second shot 20% of the time. What is the probability of missing two shots in a row? (10 points) Would the answer be .4

Answer: Probability of missing two shots in a row is 10% of the time.

Step-by-step explanation:

Since we have given that

Probability of missing the first shot = 50% of the time

P(A) = 50%

(Here, A denotes the event of missing the first shot)

Let B be the event missing the second shot .

Probability of missing the first shot, she misses the second shot = P(B|A)= 20% of the time.

Probability of missing two shots in a row is given by P(A∩B)

P(B\mid A)=\frac{P(A\cap B)}{P(A)}\\\\0.2=\frac{P(A\cap B)}{0.5}\\\\0.2\times 0.5=P(A\cap B)\\\\0.10=P(A\cap B)\\\\0.10\times 100\%=P(A\cap B)\\\\10\%=P(A\cap B)

Hence, Probability of missing two shots in a row is 10% of the time.

ANSWERED AT 26/01/2020 - 10:59 PM


QUESTION POSTED AT 26/01/2020 - 10:59 PM