BRAINLIEST TO FIRST CORRECT ANSWER ASAP.

Submarines control how much they float or sink in the ocean by changing the volume of air and water contained in large ballast tanks. When the tanks are completely full of water, the submarine increases its overall mass and sinks down to the bottom. When the tanks are completely fill of air, the submarine reduces its overall mass and floats to the surface. Depending on the density if the seawater surrounding the submarine, it will pump seawater in or out of the tanks in order to achieve the same overall density as the sea water and float neutrally in the water. The volume of the submarine never changes. When the tanks are completely full of water, a submarine with a volume of 7.8 x 10^3 m^3 has a total mass of 8 x 10^6 kg. The density of the seawater is 10^3 kg/m^3. To make that submarine float neutrally, and neither float nor sink in the ocean, what volume of water does that submarine need to subtract from its tanks?

A. 8 x 10^6 m^3
B. 2 x 10^2 m^3
C. 8 x 10^3 m^3
D. 2 x 10^5 m^3

Answers

Answer 1

Answer:

The volume of the water subtracted from the tanks is 2 × 10² m³ to

make the submarine float nor sink in the ocean ⇒ answer B

Step-by-step explanation:

* Lets talk about the relation between the mass , the volume

 and the density

- Mass = Volume × Density

- The unit of the mass is kilogram

- The unit of the volume is cubic meter

- The unit of the density is Kilogram per cubic meter

* Lets find the volume to make the submarine float neutrally

∵ Mass = volume × density

∴ Volume = Mass ÷ density

∵ The mass = 8 × 10^6 kg

∵ The density of the seawater = 10³ kg/m³

∴ The volume = 8 × 10^6 ÷ 10³ = 8 × 10^(6 - 3) ⇒ (to divide numbers

   with exponents and have same base, subtract the powers)

∴ The volume = 8 × 10³ m³

- The volume of the submarine never changes

∴ The submarine need to subtract:

  8 × 10³ - 7.8 × 10³ = 10³ (8 - 7.8) = 0.2 × 10³ = 2 × 10² m³ from its tanks

* The volume of the water subtracted from the tanks is 2 × 10² m³ to

   make the submarine float nor sink in the ocean

Answer 2

Final answer:

To achieve neutral buoyancy, a submarine with a volume of 7.8 x 10³ m³ must expel a volume of water that reduces its mass to that of the water displaced. This amounts to expelling 2 x 10² m³ of water from its ballast tanks.

Explanation:

To make the submarine float neutrally in the seawater, we need to find out how much water the submarine must expel so that its mass equals the mass of the water it displaces. Using Archimedes' principle, the buoyant force on an object submerged in a fluid is equal to the weight of the fluid that is displaced by the object. This is dependent on the volume and density of the fluid.

Since the volume of the submarine is given as 7.8 x 10³ m³ and doesn't change, and the density of the seawater is 10³kg/m³, the mass of the water displaced by the submarine when it is neutrally buoyant must equal the mass of the submarine.

The mass of the water displaced would then be 7.8 x 10³ m³ × 10³ kg/m³ = 7.8 x 10⁶ kg. To achieve neutral buoyancy, the submarine must expel enough water to match this mass. Since we know the total mass of the submarine when fully loaded with water is 8 x 10⁶kg, the volume of water that must be expelled is the difference between the two masses divided by the density of the seawater:

   (8 x 10⁶ kg - 7.8 x 10⁶ kg) / (10³ kg/m³) = 0.2 x 10³ m³ or 2 x 10² m³.

Therefore, the correct answer is B. 2 x 10² m³.


Related Questions

determine the domain of the function in the correct set notation. f(x)=1 /2×+6 ​

Answers

Answer:

First one.

Step-by-step explanation:

The domain of the function in the correct set notation is {x|x∈R x≠-3}.

What is a domain?

The domain of a function is the set of all possible inputs that the function can have.

We can find the domain as follows:

The function is given to be f(x)=1 /(2x+6).

Here, we can see that the function would become not be defined if the denominator becomes zero.

Therefore, the domain should not contain the values which make it not defined.

The value of x for which it becomes zero can be determined below:

2x+6=0

2x=-6

x=-3

Therefore, the domain must contain all values of real numbers except -3.

The domain of the function is found. The domain of the function is the set of all real numbers except -3. It can be written as {x|x∈R x≠-3}.

Therefore, we have found the domain of the function in the correct set notation is {x|x∈R x≠-3}.

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Identify the graphed linear equation.
A) y = 2/3x + 3/2
B) y = 2/3x - 3/2
C) y = - 2/3x + 3/2
D) y = -2/3x - 3/2

Answers

Answer:

D) [tex]y=\frac{2}{3}x+\frac{3}{2}[/tex]

Step-by-step explanation:

The given equations are in the form;

[tex]y=mx+b[/tex]

We  can observe from the graph that the line is sloping forward.

This means that the slope must be positive.

[tex]\implies m=\frac{2}{3}[/tex]

Also the y-intercept is positive

This implies that;

[tex]b=\frac{3}{2}[/tex]

Hence the equation is [tex]y=\frac{2}{3}x+\frac{3}{2}[/tex]

Answer:

A

Step-by-step explanation:

how many solutions does the equation - 8x + 5 = - 8x + 4 have

Answers

Answer:

None

Step-by-step explanation:

They are parallel and have the same slope

What is the general form of the equation of the line shown?

Answers

Answer:

The desired equation is y = (-8/3)x + 3.

Step-by-step explanation:

There's no one general form; several different forms apply here.

Seeing that the y-intercept is (0, 3) and that another point on the line is (3, -5), I'd use the slope-intercept form here:  y = mx + b

As we move from the first point to the second, x increases by 3 and y decreases by 8.  Thus, the slope of the line through the two points is

m = rise / run = -8/3.  As before, the y-intercept is (0, 3), so b = 3.

The desired equation is y = (-8/3)x + 3.

Hello!

The answer is:

The first option:

[tex]3x+y-3=0[/tex]

Why?

To find which is the equation of the line shown, we need to find  a line that intercepts the y-axis at 3 and the x-axis and 1.

So,  discarding we have:

First equation:

[tex]3x+y-3=0[/tex]

Making "x" equal to 0 in order to find the y-axis intercept, we have:

[tex]3(0)+y-3=0[/tex]

[tex]y=3[/tex]

Making "y" equal to 0 in order to find the x-axis intercept, we have:

[tex]3x+0-3=0[/tex]

[tex]3x=3[/tex]

[tex]x=\frac{3}{3}=1[/tex]

So, we have found that the x-axis and y-axis intercept of the equation, are the shown in the picture.

The interception points of the equation and the line are:

For x-axis:

[tex](1,0)[/tex]

For y-axis:

[tex](0,3)[/tex]

Hence, the answer is the first option.

[tex]3x+y-3=0[/tex]

Have a nice day!

betsy's bakery sells world famous cherry pies. each pie is measured by its diameter. what is the distance around a 10-inch pie? use 3.1 for pi

Answers

Answer:

31

Step-by-step explanation:

Distance around Pie = Pi*Diameter

Final answer:

The circumference of a 10-inch diameter cherry pie, using the value 3.1 for Pi, is 31 inches, which is the distance around the pie.

Explanation:

The distance around a circle is known as the circumference. To calculate the circumference of a 10-inch diameter cherry pie, we will use the relationship between the diameter and circumference, which involves Pi (π). The formula for the circumference C is C = π × d, where d is the diameter.

Using 3.1 as the approximate value for π, and with a diameter of 10 inches, we can calculate the circumference as follows:

C = π × d = 3.1 × 10 = 31 inches.

Therefore, the distance around a 10-inch cherry pie from Betsy's Bakery is approximately 31 inches.

which of the lines below is a line of symmetry

Answers

Answer:

both

Step-by-step explanation:

b/c they both divide the square into equidistant segments

Answer: both

Step-by-step explanation:

divide the square into two equal sections

What is the value of x ?enter your answer, as a decimal, in the box

Answers

Answer:

54.6

Step-by-step explanation:

The glass paperweight is made up of a cylinder and a cone. Which volume is closest to the amount of glass needed to make the paperweight? Use 3.14 as an approximation for .

Answers

im pretty sure its 43.96cm

BRAINLIEST + POINTS!

A spring has spring constant 0.3 m/newton. What force is necessary to stretch the spring by 1.5 meters?

Answers

If 1 newton pushes it 0.3 meters, it would take 1.5 / 0.3 newtons, or 5 newtons to push it 1.5 meters

Answer: 5 Newton

Step-by-step explanation:

We know that the Hooke's law states that the force 'F' needed to stretch or compress a spring by some distance 'a' is proportional to that distance .

[tex]F=\dfrac{a}{c}[/tex], where c is the spring constant.

Given: A spring has spring constant 0.3 m/newton.

The  force is necessary to stretch the spring by 1.5 meters is given by :-

[tex]\Rightarrow\ F=\dfrac{1.5}{0.3}\\\\\Rightarrow\ F=5[/tex]

Hence, the  force is necessary to stretch the spring by 1.5 meters = 5 Newton .

Which odd number have 3 as a factor​

Answers

Answer: 3, 21, 9, 15, ... any thing you can divide three with

Step-by-step explanation:

Step-by-step explanation:

The odd number whose a factor is the number 3 is  a positive odd multiple of 3:

3, 9, 15, 21, 27, 33, 39, 45, 51, 57, ...

Find the volume of the cylinder.
Enter the exact answer.

Answers

The formula for volume of a cylinder is:

V = π r^2 h

r = 3 and h = 6

V = π * 3^2 * 6

V = π * 9 * 6

V = 54π units^3

Answer: I’m gonna say 169... this one confused me a little bit

What is the area of a triangle with a=2, b=7, and c=8?

Answers

Answer:

6.44

Step-by-step explanation:

A=1/  4 divided by﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4 =1/  4· divided by﹣24+2·(2·7)2+2·(2·8)2﹣74+2·(7·8)2﹣84    ≈6.4372

Sorry if it's a little complicated but that's how I learned it

Answer:

c.

6.4 units

Step-by-step explanation:

pleas help show work

Answers

Step by step answer.

g / -1 + 10 < 7

-g + 10 < 7

-g  + 10 - 10 < 7 - 10

-g < -3

-g / -1 < -3 / -1

g > 3  --) answer

The reason why the sign is filpped is that because of g is the opposite of -g and if -g was less than 3 then g is greater than 3.

Answer:

[tex]\large\boxed{g>3\to g\in(3,\ \infty)}[/tex]

Step-by-step explanation:

[tex]\dfrac{g}{-1}+10<7\qquad\text{subtract 10 from both sides}\\\\-g<-3\qquad\text{change the signs}\\\\g>3[/tex]

Need a GED Math test tutor. Comment if I can give you my number to help​

Answers

Answer:

sure I'll help, 59.99 per hour. it's a pretty solid deal.

Step-by-step explanation:

Cᴀɴ sᴏᴍᴇᴏɴᴇ ᴇxᴘʟᴀɪɴ ʜᴏᴡ ᴛᴏ ᴅᴏ 1 ᴀɴᴅ 2

Answers

Answer:

1.

Experimental : [tex]\frac{14}{25}[/tex] or 56%

Theoretical : [tex]\frac{1}{2}[/tex] or 50%

2.

22 customers

Step-by-step explanation:

Theoretical is how many times you'd expect it to land. So for coin flipping it would be either heads or tails. The probability it would land on heads would be 50% because it's either one or the other.

Experimental is how many times you actually landed it. You flipped a coin and it landed on heads 28 times, so you can put that over 50.

Since [tex]\frac{28}{50}[/tex] can be simplified to [tex]\frac{14}{25}[/tex] or 56%, that is the experimental probability.

For the second variation, we can assume that it is direct variation.

[tex]y=kx[/tex]

When [tex]y[/tex] increases, [tex]x[/tex] increases.

Let's solve for [tex]k[/tex].

[tex]11=50k \\ \\ k=\frac{11}{50}[/tex]

We can plug that in to the second equation since we already know how many customers there will be.

[tex]y=0.22k \\ \\ y=0.22(100) \\ \\ y=22[/tex]

What does F equal???

Answers

Answer:

F=10

Step-by-step explanation:

If k is parallel to l find the value of a and the value of b.

Answers

Answer:

a = 30

b = 40

C

Step-by-step explanation:

This requires that you use a proportion.

a / (a + 15) = 40 / 60

The small triangle's sides are in proportion to the large triangles sides.

Reduce the right. Divide top and bottom by 20

a/(a + 15) = 40/20 // 60/20

a/(a + 15) = 2/3                    

Cross multiply

3a = 2(a + 15)            Remove the brackets on the right.

3a = 2a + 30

Subtract 2a from both sides

3a-2a = 30

a = 30

Find B

b is done exactly the same way.

b/(b+20) = 2/3

3b = 2b + 40

3b - 2b = 40

b = 40

Emilia scored x points playing a game. Sarah scored twice as many points as Emilia. Together they scored a total of 9 points. How many points did Emilia score

Answers

Answer: 3 points.

Step-by-step explanation: 3 x 2 is 6, plus 3 is 9

The x-axis and y-axis are lines of symmetry for a square. If one of its vertices has coordinates ( a, b), then the vertice opposite it is

Answers

Answer:

(-a, -b)

Step-by-step explanation:

It's a square that has both X-axis and Y-axis as lines of symmetry.  We can then conclude the center of the square is at the origin (0,0).

It doesn't matter if the square is straight up (both axis being the mid-points symmetry lines, and one corner in each quadrant) or if it is turned (both axis being the diagonals and the corners are on the axis), in any case if a summit (corner) is defined as (a,b), the opposite corner will be at (-a,-b).

(a,b) could be (2,2), then opposite would be (-2,-2).

(a,b) could be (3,0), then the opposite would be (-3,0).

An opaque bag contains 5 green marbles 3 blue marbles and 2 red marbles. What is the probability of randomly picking out a marble and the marble being red?

Answers

Answer= .2 probability

Explanation: Since there is a total of 10 marbles, and 2 are red, you would divide the red marbles (2) out of the total marbles (10) which would get u .2. Since it’s asking for probability, we would keep .2 a decimal.

Final answer:

The probability of randomly picking a red marble from the bag is 2 out of 10, or 0.2 when expressed as a decimal, which equates to a 20% chance.

Explanation:

The subject of the question you asked is mathematics, specifically probability. In order to calculate the probability of an event happening, you divide the number of successful outcomes by the total number of outcomes. In this case, the successful outcome would be picking a red marble.

The total number of marbles in the bag is 5 (green) + 3 (blue) + 2 (red) = 10. The successful outcomes are 2 (the red marbles). Therefore, the probability of picking a red marble is 2/10 or 0.2.

 

To put this as a percentage, you multiply by 100, so the probability is 20%. This means that if you pick a marble out at random, there is a 20% chance that it will be red. This is assuming that after each pick, you put the marble back in the bag, also known as picking 'with replacement'.

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Plz help me with this

Answers

Answer:  [tex]\bold{d)\quad y = 3 cos (\dfrac{4}{3}x-2\pi) + 2}[/tex]

Step-by-step explanation:

[tex]\text{Period = }\dfrac{2\pi}{B}\\\\\\\dfrac{1}{2}\text{Period = }\dfrac{1}{2}\cdot \dfrac{2\pi}{B}\quad =\dfrac{2\pi}{2B}\\\\\\\text{In the given equation, B = }\dfrac{2}{3}\implies 2B=\dfrac{2\cdot 2}{3}\quad =\dfrac{4}{3}\\[/tex]

The only option that has B = 4/3 is the last one.

What is the shape of the cross section of the figure that is perpendicular to the rectangular base but does not pass through the top vertex?


A a parallelogram that is not a rectangle

B a rectangle

C a triangle

D a trapezoid

Answers

Answer:

I'm pretty sure its a Trapezoid but don't quote me

Step-by-step explanation:

I don't really know

The shape of the cross section of the figure that is perpendicular to the rectangular base but does not pass through the top vertex is a rectangle.

What is a rectangle?

A rectangle is a quadrilateral (having four sides and four angles) in which opposite sides are equal and parallel. The diagonals bisect each other, and each angle measures 90 degrees.

The shape of the cross section of the figure that is perpendicular to the rectangular base but does not pass through the top vertex is a rectangle.

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What is the second term of the sequence defined by the recursive rule f(1)=3,f(n)=f(n-1)+5

Answers

Answer:

8

Step-by-step explanation:

To obtain the second term substitute n = 2 into the recursive rule, that is

f(2) = f(2 - 1) + 5 = f(1) + 5 = 3 + 5 = 8

What is the value of x? enter your answer in the box.

Answers

Answer:

The value of x = 11 units

Step-by-step explanation:

From the figure we can see a triangle.

A  parallel line to one side cut other two sides.

From this we get the parallel line cut the sides in the same ratio

Find the value of x

From figure we can write,

6/48 = 5/(3x + 7)

6(3x + 7) = 5 * 48

18x + 42 = 240

18x = 240 - 42 = 198

x = 198/18 = 11

Which statements about the graph are true? Check all that apply. The vertices are at (–3, 0) and (1, 0). The distance between the center and each covertex is 2. The distance between the center and each focus is about 2.2 units. The directrices are about 4 units from the center. Both directrices are vertical lines.

Answers

Answer:

2, 3, and 4

Step-by-step explanation:

Mr. Pham mowed 2\7 of his lawn. his son mowed 1\4 of it. Who mowed the most. How much of his lawn still needs to be mowed.

Answers

Answer:

The father did more.

13/28 needs to be mowed which is 0.4643 of the lawn needs to be mowed.

Step-by-step explanation:

The best way to compare the two is to change them to decimals. That will at least answer who mowed the most.

Father: 2/7 = 0.2857

Son: 1/4 = 0.25

Since the father mowed 2/7 of the lawn, he mowed the most.

You can use the decimals to get the second part.

Together they did 0.25 + 0.2857 = 0.5357

The amount of the lawn left is 1 - 0.5357 = 0.4643

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

If you must have this in fractions then

1/4 + 2/7 = 7/28 + 2*4/28 = 7/28 + 8/28 = 15/28

15/28 = 0.5357 which is just what we got above.

Amount left to do = 1- 15/28 = 13/28

13/28 = 0.4643 which is what we got about.

An orange juice company sells a can of frozen orange juice that measures 9.4 centimeters in height and 5.2 centimeters in diameter. The company wants to sell a larger can of juice. The height of the can is kept at 9.4 cm, but the diameter is increased to 8.5 cm. About how many times more juice will the new can hold?

Image is the same question w/ a model.

Answers

Hello!

The answer is:

The third option:

2.7 times as much.

Why?

To calculate how many more juice will the new can hold, we need to calculate the old can volume to the new can volume.

So, calculating we have:

Old can:

Since the cans have a right cylinder shape, we can calculate their volume using the following formula:

[tex]Volume_{RightCylinder}=Volume_{Can}=\pi r^{2} h[/tex]

Where,

[tex]r=radius=\frac{diameter}{2}\\h=height[/tex]

We are given the old can dimensions:

[tex]radius=\frac{5.2cm}{2}=2.6cm\\\\height=9.4cm[/tex]

So, calculating the volume, we have:

[tex]Volume_{Can}=\pi *2.6cm^{2} *9.4cm=199.7cm^{3}[/tex]

We have that the volume of the old can is:

[tex]Volume_{Can}=199.7cm^{2}[/tex]

New can:

We are given the new can dimensions, the diameter is increased but the height is the same, so:

[tex]radius=\frac{8.5cm}{2}=4.25cm\\\\height=9.4cm[/tex]

Calculating we have:

[tex]Volume_{Can}=\pi *4.25cm^{2} *9.4cm=533.40cm^{3}[/tex]

Now, dividing the volume of the new can by the old can volume to know how many times more juice will the new can hold, we have:

[tex]\frac{533.4cm^{3} }{199.7cm^{3}}=2.67=2.7[/tex]

Hence, we have that the new can hold 2.7 more juice than the old can, so, the answer is the third option:

2.7 times as much.

Have a nice day!

Joshua eat 3/8 of a pizza trevor eats 1/2 of a pizza how much of the pizza did they eat?

Answers

Answer:

7/8ths of a pizza.

Step-by-step explanation:

3/8 + 1/2

Find the LCD and then combine.

7/8 in exact form, and 0.875 as a decimal.

Need help ASAP !!!!

Answers

using the formula (H*L)÷2

7*2=14
14÷2=7

then there are 4 sides so
7*4=28

then for the base 2*2= 4

28+4=32

32 square ft

find the area of this figure

Answers

Answer: 125 squared ft

Area of the big rectangle ⬜️, 15ft x 10ft = 150 square ft

Area of the small square(which is spaced), 5ft x 5ft = 25 squared ft

Area of the give figure, 150squared ft- 25squared ft = 125 squared ft

Answer:

The answer is 125ft

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