7) In an old episode of the TV program McGyver, a planeload of gold was being transported from the SovietUnion to the United States during WWU. The place crashed in the Arctic region. To prevent the "badguys" from getting the gold, the pilot and copilot transferred the gold into a cave by stacking it on a door
of the crashed plane and dragging the "sled" into the cave. You were led to believe in the episode that
they accomplished the move in one trip. The gold was stacked neatly in the shape of a cube, measuring
about 1 meter on a side. Calculate the weight, in tons, of one cubic meter of gold. The density of gold is
19.4 g/cc. Would it have been possible for the two pilots to accomplish this feat? Would a plane of WWII
vintage be able to carry this much gold? (cc = cubic centimeter, 1cm = 1mL)

Answers

Answer 1

Here we need to remember that:

density = mass/volume

Only by using this equation, we will find that the mass of gold is 19,400 kg

In this case, we know that the gold is in the shape of a cube with side length of one meter.

Remember that for a cube of side length L, the volume is:

V = L^3

Then in this case, the volume of the cube of gold will be:

V = (1m)^3  = 1m^3

And we know that the density of the gold is:

density = 19.4 g/cc

cc = cm^3

density = 19.4 g/cm^3

Notice that we have different units of volume, so we would want to write the volume in cm^3

We know that:

1m^3 = (1×10^6)cm^3

Then the volume of the cube of gold is just:

V = (1×10^6)cm^3 = 1,000,000 cm^3

Now let's return to the density equation:

density = mass/volume

Solving for the mass, we get:

density×volume = mass

Now we can replace the two things in the left side:

(19.4 g/cm^3)×(1,000,000 cm^3) = mass = 19,400,000 g

Now remember that:

1000k = 1kg

Then we can rewrite:

mass = 19,400,000 g = (19,400,000/1000)kg = 19,400 kg

So the cube of gold has a mass of  19,400 kg, there is no way that two persons could carry this much gold into a cave.

if you want to learn more, you can read:

https://brainly.com/question/18320053


Related Questions

is -17 a rational number or irrational number

Answers

A rational number is a number that you can write as a fraction of two integers.

-17 = -17/1, -34/2, etc.

-17 is rational.

Irrational numbers, like pi and sqrt(2), cannot be written as a fraction of integers.

Answer:

rational

Step-by-step explanation:

if a number can be written as a fraction,  where p and q are integers and q is a non-zero number

The equivalent matrices are
.

Answers

Answer:

Step-by-step explanation:

To be equivalent matrices must have the same dimemsions (rank)

dim A= (3,2)

dim B=(2,3)

dim C=(3,2)

dim D=(3,2)

C and D are equivalent since √4=2 !!!

Answer:

should be C and D, because-

Step-by-step explanation:

To be equivalent matrices must have the same dimension's  

A= (3,2)

 B=(2,3)

 C=(3,2)

 D=(3,2)

C and D are equivalent since √4=2

hey please help i’ll give brain

Answers

The commutative law of multiplication is pretty much just that no matter what order the numbers are in, the product will be the same. The answer is D

I NEED HELP ASAP!!! #32!!

Answers

Answer:

If it's parallel, then it has the same slope.

Find the slope from the two coordinates and compare the slope to see which ones are right.

You should get a slope of like 2/3 from the two points, so the only equation with the same slope is B.

Your answer is B.

GIVING BRAINLIEST IF CORRECT!! EASY MATH!!!

Answers

Answer:

Reflecting across the x-axis looks like this: -g(x)

A negative on the outside of the function.

So your answer may be

-|x|

It should just be - lxl

Help anyone can help me do the question 4,I will mark brainlest.​

Answers

Answer:

Hello,

Step-by-step explanation:

[tex]A=(1,2)\\B=(0,-1)\\\overrightarrow{AB}=((0,-1)-(1,2)=(-1,-3)\ ||\overrightarrow{AB}||^2=1+9=10\\\overrightarrow{BC}=((3,-2)-(0,-1)=(3,-1)\ ||\overrightarrow{BC}||^2=9+1=10\\\\Triangle\ is\ isosceles.\\\\\overrightarrow{AB}.\overrightarrow{BC}=(-1,-3)*\left[\begin{array}{c}3\\-1\end{array}\right] =-3+3=0\\\\Triangle \ is\ right.\\\\[/tex]

Answer:

(Work below)

BRAINLIEST, PLEASE!

Step-by-step explanation:

A(1, 2) B(0, -1) C(3, -2)

The distance between A and B is:

3^2 + 1^2 = c^2

9 + 1 = c^2

c = 10^1/2

The distance between B and C is:

1^2 + 3^2 = c^2

1 + 9 = c^2

c = 10^1/2

The distance between C and A is:

4^2 + 2^2 = c^2

16 + 4 = c^2

c= 20^1/2

Since AB and BC are the same, but AC isn't, the triangle is isosceles.

WILL GIVE PUT BRAINLIEST PLEASE HELP

okay so i don’t have a ruler so please help! Part III – Measuring Lines
Using a metric ruler, measure and record the length of the following lines. (This is metric... SO
make sure to use the correct label)

Answers

A metric ruler is a basic ruler
(If u can’t get a basic ruler and ur doing the homework on a personal computer maybe there’s an extension to download a ruler and measure, I’m sorry but I might get the calculations wrong since it’s not in person)

the ratio of length and breadth of a rectangle is 3:1​

Answers

Step-by-step explanation:

no her answer is lxb this answer is right for you

prove that : Cos 2A =cot^2-1/cot^2+1​

Answers

Answer:

[tex] \cos(2A) = { \cos }^{2} A - { \sin }^{2} A \\ = { \cos }^{2} A - \frac{1}{ \csc {}^{2} A} \\ \\ = \frac{( { \cos}^{2} A. \csc {}^{2}A ) - 1}{ { \csc }^{2} A} \\ \\ = \frac{( \frac{ { \cos}^{2}A }{ { \sin }^{2} A}) - 1 }{ { \csc }^{2} A} \\ \\ = \frac{ { \cot}^{2}A - 1 }{ { \csc}^{2} A} [/tex]

but csc²A = cot²A + 1:

[tex] = \frac{ { \cot}^{2}A - 1 }{ { \cot }^{2}A + 1 } [/tex]

# proved

Identify the rule for the following pattern:
4, 24, 144

Answers

Answer:

It is being multiplied by 6 each time.

Step-by-step explanation:4x6, 24x6

The solids are similar. Find the volume V of the larger solid.

Answers

Answer:

9604

Step-by-step explanation:

V = (7/3)³ × 756

= 343/27 × 756

= 9604 ft³

10 A frustum is a portion of a solid. The frustum shown opposite is formed from a cone.
a What is the volume of the missing top cone? Give answers correct to the nearest cubic metre.
b What was the volume of the entire cone?
c What is the volume of the frustum?

Answers

Step-by-step explanation:

all you needed to do was a quick search on the internet : "volume of a cone".

and you get immediately :

pi×r²×h/3

the reason is similar to all other volume formulas : base area times height. for pyramids and cones there are factors included to reduce this a bit, because they simply don't go straight up from their base area, so they have less volume than comparable objects that do go straight up (like a cylinder compared to a cone).

r = radius

h = height

so, for a) we only need to use the calculator :

pi × 5² × 30 / 3 = pi×25×10 = 785.4 ≈ 785 m³

for b) we need to do the same thing, but with r = 10 and h = 60.

pi × 10² × 60 / 3 = pi×100×20 = 6283.2 ≈ 6283 m³

so, for c) we only need to subtract the result of a) from the result of b)

the frustum is the volume of the large cone minus the volume of small, top cone.

6283 - 785 = 5498 m³

the sum of two numbers is 17 and their differance is 3

Answers

Answer:

10 and 7 are the numbers

Step-by-step explanation:

Let the number be x and y, ATQ, x+y=17 and x-y=3, solving it we will get x=10 and y=7

The sum of two numbers is 17 and their difference is 3.

Let's define the two numbers as x and y.

Sum of two numbers is 17

x + y = 17

Their difference is 3

x - y = 3

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

Solve for x

x + y = 17

x = 17 - y

now that we have x, substitued x into x - y = 3

x - y = 3

17 - y - y = 3

17 - 2y = 3

-2y = -14

y = 7

we have y, 7, now let's substitue that into one of the equations to find x

x - y = 3

x - 7 = 3

x -7 + 7 = 3 +7

x = 10

the numbers are 10 and 7

Someone help pleaseeee
A employer, who started a new business, has promised his employees a minimum starting wage of $3, with an increase of $2 every 4 years. Sketch a graph of wage as a function of time for 16 years. Assume the wages take effect at the beginning of the year where the change is made. (HINT : use a step function to represent the function.)

Upload your graph in the box below.

Answers

Answer:

y = 3 for 0 <= x < 4

y = 5 for 4 <= x < 8

y = 7 for 8 <= x < 12

y = 9 for 12 <= x < 16

y = 11 for 16 <= x < 20

x represents the number of years of employment.

for example, when x = 4, the employee has been there a full 4 years and is entitled to an additional 2 dollars wage to make the total wage equal to 3 + 2 = 5.

your graph stops at x = 16 because that's the number of years being considered.

at x = 16, the wage will be 11 dollars.

the closed circle indicates the value of y is valid at that value of x.

an open circle indicates the value of y is not valid at that value of x.

for example, when x = 4, y = 3 is not valid anymore, but y = 5 is.

on the 16th year of employment, the employee is entitled to an additional 2 dollars wage and starts earning at a wage of 11 dollars.

at employment (x = 0), the employee starts earning a wage of 3 dollars.

at 4 years (x = 4), the employee starts earning a wage of 5 dollars.

at 8 years (x = 8), the employee starts earning a wage of 7 dollars.

at 12 years (x = 12), the employee starts earning a wage of 9 dollars.

at 16 years (x = 16), the employee starts earning a wage of 11 dollars.

x represents a full year of employment.

y represents the wage the employee is entitled to earn.

if f(1)-3 and f(n)=f(n-1) +4 then find the value of f(5)

Answers

Answer:

f(1) = 3

f(2) = -2 * 3 + 1 = -5

f(3) = -2 * -5 + 1 = 11

f(4) = -2 * 11 + 1 = -21

f(5) = -2 * -21 + 1 = 43

Step-by-step explanation:

what is 1/3 + 1/10?

Answers

Answer:

13 + 110 is 1330 is the answer

1/3 + 1/10

= 10/30 + 3/30

= 13/30

if n(A) = 12, n(b) = 9 and n(AuB) = 16 then find the value of n (A-B)​

Answers

Question has a slight error .we should find n(A[tex]\cap[/tex]B)

n(A)=12n(B)=9.$n(A\cup B)=16$

[tex]\boxed{\sf n(A\cup B)=n(A)+n(B)-n(A\cap B)}[/tex]

[tex]\\ \rm\longmapsto n(A\cap B)=n(A)+n(B)-n(A\cup B)[/tex]

[tex]\\ \rm\longmapsto n(A\cap B)=12+9-16[/tex]

[tex]\\ \rm\longmapsto n(A\cap B)=5[/tex]

MARKING BRAINLIEST !!
which of the following are properties of all parallelograms select all that apply

Answers

answers

4) opposite sides are parallel

1) opposite angles are equal

5) all are quadrilateral

property's of a parallelogram

1)sum \: of \: angeles \: = 180 \\ 2)opposite \: sides \: are \: cogruent \\ 3)opposite \: angles \: are \: congruent \\ 4)cosecutive \: angles \: are \: supplymentary \\ 5)diaganols \: bisect \: \\ thnk \: you[/tex]

IN A GIVEN FIGURE ABCD IS A SQUARE THE MEASURE OF ANGLE DBC IS

Answers

Answer:

Where is figure. Hope you understand me

Step-by-step explanation:

Please mark me brainliest thanks

Which is an estimate of _/75
nearest whole number?

Answers

Answer:

9 is closest whole number

Answer:

9

Step-by-step explanation:

Lets look at the squares

7^2 = 49

8^2 = 64

9^2 = 81

It is between 8 and 9

75 - 64 =11

81 - 75 = 6

It is closer to 9 than 8

The sum of three numbers is 576. One of the numbers, n, is 25 percent more than the sum of the other two numbers. what is the value of n?

Answers

Answer:

Step-by-step explanation:

x + y + n = 576

When something is 25% larger than something else, the effect is the same as multiplying by 1.25. Let's try it with an example

20 + (25/100)* 20 = 20 + 500/100 = 20 + 5 = 25. Now if you multiply 20 * 1.25 you get 25 which is just what you should get.

n = 1.25(x + y)                    Divide by 1.25

n / 1.25 = x + y                   Substitute n / 1.25 for x + y in the above equation    

n/1.25 + n = 576                Multiply everything by 1.25  

n + 1.25n = 576*1.25         Combine the left to get 2.25

2.25 n = 576 * 1.25           Divide by 2.25

n = 576*1.25 / 2.25    

n = 320

Someone answer please and thank you! No photos please those are blocked for me!

Answers

ans:- 125 cm cubed

ur welcome

Who on this app goes to Hixson High?

Answers

Nope not me lol purrrr

Find the given angle. Show all work and round to the nearest degree.

Answers

Answer:

44°

Step-by-step explanation:

tanΘ = opposite / adjacent

tanΘ = 48 / 50

Θ = arctan(48 / 50)

Θ = 43.83° or 44°

Gabriel was at the gym for 3/4 hours. He spent 1/2 of this time shooting baskets. What fraction of an hour did Gabriel spend shoot baskets?

Answers

Answer:

1/2×3/4=3/8h

3/8×8/8=

3/8h

hey please help i’ll give brain

Answers

Answer:

The answer is A. They are just inverses, but are essentially, the same problem. The order does not matter.

Step-by-step explanation:

For her new MP3 player, Alicia wants a case that is 3 and 2/5 in. long. The online store shows case sizes in decimal measurements. What length case should she order?

A. 3.2 in.

B. 3.25 in.

C. 3.4 in.

D. 3.45 in.

Answers

Answer:

C.

Step-by-step explanation:

.

Answer:

c) 3.4 in

Step-by-step explanation:

what is -2 1/3 - 1 1/2 =

Answers

Step-by-step explanation:

[tex] \frac{ - 21}{3} - \frac{11}{2} [/tex]

[tex] \frac{ - 21 \times 2 - 11 \times 3}{6} [/tex]

[tex] \frac{ - 42 - 33}{6} [/tex]

[tex] \frac{ - 75}{6} [/tex]

[tex]12.5[/tex]

I hope this will help you...please mark my answer as BRAINLIEST..,....

Find the coordinates of the image of J (−5, −1) after the translation (x, y) → (x − 2, y).

A. (−7, −3)
B. (−5, −3)
C. (−3, −1)
D. (−7, −1)

Answers

Its D.(-7,-1)

Hope it helpss

The coordinates of the image of J (−5, −1) after the translation (x, y) → (x − 2, y) will be (−7, −1). Then the correct option is D.

What is a transformation of a point?

A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.

The rule of the translation is given below.

(x, y) → (x − 2, y)

The coordinates of the image of J (−5, −1). Then the location of the point J after the translation will be

(x, y) → (x − 2, y)

(−5, −1) → (−5 −2, −1)

(−5, −1) → (−7, −1)

The coordinates of the image of J (−5, −1) after the translation (x, y) → (x − 2, y) will be (−7, −1). Then the correct option is D.

More about the transformation of a point link is given below.

https://brainly.com/question/27224339

#SPJ2

Find the least number which when divisible by 20, 24, 32 and 38 leaves a remainder 5 in cach case

Answers

Answer:

18245

Step-by-step explanation:

We have to use L.C.M,

L.C.M(20,24,32,38)

2|20,24,32,38

2| 10 ,12 ,16 ,19

2| 5 , 6 , 8 , 19

2| 5 , 3 , 4 , 19

2| 5 , 3 , 2 , 19

L.C.M = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 3 x 19

          = 18240

Now for each case remainder is 5,

So the number is 18240+5

=> 18245

Other Questions
please help marking brainlist Which unit is the best for measuring the distance between two cities?O gramO kilogramO centimeterO kilometer Health education brings changes of knowledge, attitude and practice. Justify with reason. Draw a system flowchart illustrating the steps performed by an operating system as it executes the instruction to back up a disk on a single-user computer system. BRAINLIEST!! PLS HELP Imagine that you tested 20 high school students (15 male, 5 female). Twelve males and four females reported feeling a calming effect after exposure to the color blue.In two to three sentences, explain what conclusions could be drawn from this information. 30 points!You start at (-2, 2). You move left 3 units and right 10 units. Where do you end? Where is this conversation most likely happening? What is the complete factorization of x2 + 2x + 1 - y2?A)(x + 1 + y)(x + 1 - y)B)(x + 1 + y)(x - 1 - y)0(x - 1 - y) (x - 1 + y)D)(x + 1 + y) (x + y + 1) Robert wants to buy a digital piano at a yard sale. He makes a scale drawing of his living room. He uses a scale of 1cm in the drawing to 6 inches in the actual room. The width of the digital piano is 54 inches will it fit along the wal. Next to the bookshelf ? gii phng trnh tan6x nhn tan7x= -1 Amy regularly works 20 hours per week at Hook's Dry Cleaners from Monday through Friday. She earns $13.10 per hour and receives double time pay for working Sundays. Next week she will work her regular 20 weekday hours, and an additional 8 hours on Sunday. What will her total gross pay be for the week?please show work thanks! 1. What happens when matter changes state?a. Its chemical properties change.b. Its physical properties change.c. The energy of its particles remains the same. haped. two of the above I need a table chart for 4n - 3 What is the average velocity of the particle from rest to 9 seconds?OA.1 meter/secondOB.2 meters/secondOC.3 meters/secondOD.4 meters/second think of your reading experience and write a paragraph of 150 200 word. A company manufactures and sells shirts. The daily profit the company makes depends on how many shirts they sell. The profit, in dollars, when the company sells x x shirts can be found using the function f ( x ) = 7 x 40. f(x)=7x40. Find and interpret the given function values and determine an appropriate domain for the function. f ( 10 ) = f(10)= , meaning if the company sells shirts, they would make a profit of dollars. This interpretation in the context of the problem. f ( 10 ) = f(10)= , meaning if the company sells shirts, they would make a profit of dollars. This interpretation in the context of the problem. f ( 9.5 ) = f(9.5)= , meaning if the company sells shirts, they would make a profit of dollars. This interpretation in the context of the problem. Based on the observations above, it is clear that an appropriate domain for the function is . explain fundamental quantities in physics Simplify: show all your steps 30 POINTS! -4 and 7 midpoint simplify What is the absolute value of 48 2/3