Diamond has a density of 3.26 g/cm3
. What
is the mass of a diamond that has a volume of
0.214 cm3
?
Answer in units of g

Answers

Answer 1

Explanation:

Hey there!

According to the question;

Density of diamond (d) = 3.26g/cm³

And Volume (v) = 0.214 cm³

Mass(m) = ?

From the definition of density;

d = m/v

Or, 3.26 g/cm³ = m/(0.214 cm³)

or, 3.26 g/cm³ * 0.214 cm³ = m

Therefore, mass of the diamond is 0.69764 g.

Hope it helps!


Related Questions

calculate the volume that 42g of nitrogen gas (N2)occupies at standard temperature and pressure.​

Answers

Nitrogen gas has a molar mass of about 28.0134 g/mol. Then we have a starting amount of

(42 g) / (28.0134 g/mol) ≈ 1.4993 mol

of N₂.

At standard temperature and pressure, one mole of an ideal gas occupies a volume of about 22.4 L. Then 42 g, or 1.4993 mol, of N₂ takes up

(1.4993 mol) × (22.4 L/mol) ≈ 33.6 L

should money be used for space travel when there are so many serious problems on Earth to be addressed? explain your answer.

Answers

Answer:

Anyway, space exploration absolutely does give us a direct benefit. When space technology has advanced far enough, we will be able to leave this planet in large numbers and live among the stars. This will solve our population/environment/resource/energy problems for a long, long time. Even a fraction of the money spent annually on space exploration could save millions of people in poverty-stricken countries, and improve living conditions for future generations. The foundations of the world we live in are largely based on science and it is indeed vital to extend our knowledge of the universe.

                                            Thank You

                                        Please mark me brainliest

The speed of light will be minimum while passing through

A) water
B) vaccum
C) air
D) glass

Answers

Answer:

The correct choice is option D. glass

Glass's optical density is very great. Which is why speed of light will be minimum when passing glass.

Answer:

glass

Explanation:

i think, sana makatulong

multiples and submultiples of kg

Answers

Answer:

Submultiples of kilogram are decagram ,centigram etc. And multiples of kilogram is megagram(1 tonne) , gigagram etc.

hope this helps you:)

What are two benefits of scientists using a diagram to model the water cycle?
A. It can show changes that occur in many different parts of Earth at
the same time.
B. It can be used to show how the parts of the cycle relate to one
another.
C. It can be used to show as much detail as is present in the actual
water cycle.
OD. Only a few factors in the water cycle can be shown on the
diagram.

Answers

Explanation:

it can be used to show how the parts of the cycle relate to one another

do humans have the right to alter and colonize unique environments on another planet? explain your answer.

Answers

Answer:

We may have people making habitats on asteroids ... I know that humans will colonize the solar system and one day go beyond. Richard Gott has estimated that the human race could survive for another 7.8 million years, but it is not likely to ever colonize other planets.

To be sure there are many daunting challenges facing prospective space colonists such as protection from exposure to deadly radiation levels, the impact on the human body while living and working in cramped, low-gravity environments for extended periods of time and the psychological toll of isolation and confinement.

According to me we can't colonize other planets which is against humanity

An astronaut floating in space is trying to use her jetpack to get back to her space station, but she is being pulled away by a nearby planet, as shown in the image below. Her jetpack provides a constant thrust of 165 N. If she angles her jetpack in such a way that it cancels out the vertical force due to the planet's gravity, what is her net horizontal force?
A. 132.6 N toward the space station
B. 53.3 N away from the space station
C. 98.5 N toward the space station
D. 112.8 N away from the space station

Answers

Answer:

C. 98.5N toward the space station

Explanation:

Fx= Fjet×cos(20) - Fplanet × cos(45) = 98.5

Because the result is positive so she is going toward the space station

Hey any physicist or engineer around. am giving brainliest to anyone who will answer this question.

Answers

Answer:

N = 167 Newtons

R = 727 Newtons

Explanation:

i) For static equilibrium, moments about any convenient point must sum to zero.

A moment is the product of a force and a moment arm length. Only the force acting perpendicular to a moment arm passing through the pivot point makes a moment.

ii) I will ASSUME the two moment arms are 0.05m and 0.15 m

CCW moments about the fulcrum are

190 N(0.2 m) + 280 N(0.05 m) = 52 N•m

CW moments are (N)N(0.15 m + 90 N(0.3 m) = 27 + 0.15N N•m

For static equilibrium, these must be equal

27 + 0.15N = 52

       0.15N = 25

              N = 166.6666666...

Sum moments about N to zero

(Same as saying CW and CCW moments must balance)

190(0.2 + 0.15) + 280(0.05 + 0.15) - R(0.15) - 90(0.3 - 0.15) = 0

R = 726.6666666...

We could verify this by summing vertical forces to zero.

R - 190 - 280 - 166.666666 - 90 = 0

R = 726.6666666...

Consider the mass-on-a-spring system as shown in the figure below. The spring has a spring constant of 1.81e+3 N/m, and the block has a mass of 0.988 kg. There is a constant force of kinetic friction between the mass and the floor of 1.79 N. Starting with the spring compressed by 0.172 m from its equilibrium position, how far will the block travel once it leaves the spring? (Assume that block leaves the spring at at the spring's equilibrium position, marked x=0 in the figure.

Answers

K1Answer:

s= 6.5cm

Explanation:

Point 1: just right before the block leaves the spring

Point 2: the block has v2=0 (stops moving)

Apply Kinetic-Work Theorem:

K1 + U1 + Wother = K2 + U2

K1=0

U1= 1/2×k×x² (k= 1.81e+3 N/m and x= -0.172 m)

Wother = F×s= 1.79×s

K2=0

U2=0

=> s= 6.5cm

This is my attempt to solve. Let me know if this isn't right

Encontrar el peso de un elefante cuya masa es de 4500kg. Recordar que la gravedad es de 9.8m/s2

Answers

la respuesta es 459.183673 kg s2 / m

Answer:

44,100 N

Explanation:

4500(9.8) = 44,100

Stella's respiratory system is not working well why is this a problem for her ability to exercise

Answers

Explanation:

Her cells will not work well when they have low levels of oxygen.

differentiate between air pressure and liquid pressure in table .​

Answers

Air pressure or atmospheric pressure is the pressure as the force exerted by the collisions of particles in the air.

The key difference between air pressure and liquid pressure is that air pressure allows the gaseous state of matter to be compressible, whereas liquid pressure makes a liquid incompressible

Answer:

Air pressure

Atmospheric pressure, also known as barometric pressure, is the pressure within the atmosphere of Earth. The standard atmosphere is a unit of pressure defined as 101,325 Pa, which is equivalent to 760 mm Hg, 29.9212 inches Hg, or 14.696 psi.

Liquid pressure

Liquid pressure is the increase in pressure at increasing depths in a liquid. This pressure increases because the liquid at lower depths has to support all of the water above it. We calculate liquid pressure using the equation liquid pressure = mass x acceleration due to g density x depth in fluid.

a ball is thrown straight up into the air with an initial speed of 3.1 m/s. a. After 0.24 seconds what is the ball's velocity and b. what is it's acceleration?

Answers

a. The ball's velocity after 0.24 s is 0.75 m/s

b. The acceleration of the ball is given by the acceleration due to gravity

a. The ball's velocity can be calculated with the following equation:

[tex] v_{f} = v_{0} - gt [/tex]

Where:

[tex] v_{f} [/tex]: is the final speed =?

[tex]v_{0}[/tex]: is the initial speed = 3.1 m/s

g: is the acceleration due to gravity = 9.81 m/s²

t: is the time = 0.24 s

The minus sign is because the acceleration is in the opposite direction (downward) of the motion of the ball (upward).

The final speed is:

[tex] v_{f} = v_{0} - gt = 3.1 m/s - 9.81 m/s^{2}*0.24 s = 0.75 m/s [/tex]

Hence, the ball's velocity after 0.24 s is 0.75 m/s.

b. The acceleration of the ball is given by the acceleration due to gravity because the ball is thrown straight up (the motion of the ball is in the y-direction). The velocity of the ball in the x-direction is zero so the acceleration in the same direction is also zero.  

You can see another example of velocity here: https://brainly.com/question/13388351?referrer=searchResults

I hope it helps you!

what is a molecule??​

Answers

Answer:

molecule, a group of two or more atoms that form the smallest identifiable unit into which a pure substance can be divided and still retain the composition and chemical properties of that substance

Explanation:

Here are examples of common molecules:

H2O (water)

N2 (nitrogen)

O3 (ozone)

CaO (calcium oxide)

C6H12O6 (glucose, a type of sugar)

NaCl (table salt)

Explanation:

molecule, a group of two or more atoms that form the smallest identifiable unit into which a pure substance can be divided and still retain the composition and chemical properties of that substance

Water is flowing in a pipe with a varying cross-sectional area, and at all points the water completely fills the pipe. At point 1 the cross-sectional area of the pipe is 0.070 m^2, and the magnitude of the fluid velocity is 3.50 m/s.

Required:
a. What is the fluid speed at point in the pipe where the cross-sectional area is 0.105m^2?
b. What is the fluid speed at point in the pipe where the cross-sectional area is 0.047m^2?
c. Calculate the volume of water discharged from the open end of the pipe in 1.00hour.

Answers

Answer:

b

Explanation:



A Sling Shot accelerates a 12 g Stone to a velocity of
35m/s within a distance of 5.0cm to what (constant force
is the stone subjected during the acceleration

Answers

Answer:

Please mark brainliest

Answer:

[tex]\huge\boxed{\sf F = 147 N}[/tex]

Explanation:

Given:

Mass = m = 12 g = 0.012 kg

Final Velocity = Vf = 35 m/s

Initial Velocity = Vi = 0 m/s

Distance = S = 5 cm = 0.05 m

Required:

Force = F = ?

Formula:

3rd equation of motion

2aS = Vf²-Vi²

Solution:

2aS = Vf²-Vi²

a = (35)²- (0)² / 2S

a = 1225 / 2(0.05)

a = 1225 / 0.1

a = 12250 m/s²

Force = Mass x Acceleration

F = 0.012 x 12250

F = 147 N

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807Peace!

A car has four tires that are each inflated to an absolute pressure of 2.0 x 10^5 Pa. Each tire has an area of 0.024 m^2 in contact with the ground. How much does the car weigh?


a.


1.9 x 10^3 N


b.


2.9 x 10^4 N


c.


1.2 x 10^3 N



d.


1.9 x 10^4 N

Answers

Answer:

If u dig a hole 3 feet how big is that hole

Explanation:

It’s about 20 feet

If a horse can trot with an average velocity of 13 km/h, how far can it travel in
8 hours?
A. 2 km
B. 104 km
C. 35 km
D. 78 k

Answers

13*8= 105 km
D=speed*times

Answer:

104 km

Explanation:

Displacement = Velocity x Time

                       = 13 x 8

                       = 104 km

the precision of interferometer of wavelength of light 800 nm would be: (a) 200 nm (b) 100 nm (c) 400 nm (d) 800 nm

Answers

Answer:

Explanation:

Did this come with a Picture?

1. A car moving with a velocity of 10 m s-1 accelerates uniformly at 1 m s-2 until it reaches a velocity of 15 m s-1. Calculate (i) the time taken (ii) the distance traveled during the acceleration (ui) the velocity reached 100 m from the place where the acceleration began. m/sec

Answers

u ( initial velocity) = 10ms-1
v (final velocity) = 15ms-1
a = 1ms-2

(i)
a = v-u/t

Rearranging the above equation

t = v - u / a

t = 15 - 10 / 1

t = 5 / 1 = 5 s

t = 5s

(ii)

Distance travelled = s = ut + 1/2 at^2

s = 10 * 5 + 1/2 * 1 * 5 * 5

s = 50 + 12.5

s = 62.5m



Umm I don’t really get the last question. Soo can you retype the question in the comment section so that I can answer it.

Anyways, I you have any doubts plz let me know.

the value of mass of a body is everywhere

Answers

Explanation:

The value of mass of a body is not same everywhere.

Because it depends on gravity and the gravity isn't same at every places.

Answer:

Mass is the quantity of matter contained in a body, while weight is the force by which the body is pulled to the earth's center. Mass is an intrinsic property of a body, as it remains the same everywhere in the universe. Weight is variable due to change in the magnitude of the gravitational force applied by the earth.

An eccentric emu runs 20 m/s for 5 minutes for the first part of his trip to Hollywood. Once tired, the emu runs slower speed for the next hour. The average velocity of the emu is 15 m/s. what speed was the emu running when he was tired?

Answers

Answer:

14.6 m/s

Explanation:

The total run time was 5 + 60 = 65 minute or 65(60) = 3900 s

At his average velocity, emu ran 15 m/s(3900 s) = 58,500 m

Which is a heck of a running distance for ANY emu.

In the first 5 minutes the emu traveled 20 m/s(5 min)(60 s/min) = 6000 m

So in the last hour (3600 s) the emu traveled 58,500 - 6000 = 52,500 m

at a speed of 52,500 m /3600 s = 14.583333333... m/s

The emu was running at a speed of 14.58 m/s when he was tired.

To solve this question, we'll begin by calculating the distance travelled in the first part of the trip. This can be obtained as follow:

Time (t₁) = 5 min = 5 × 60 = 300 s

Speed 1 (S₁) = 20 m/s

Distance 1 (d₁) =?

Speed = distance / time

S₁ = d₁ / t₁

20 = d₁ / 300

Cross multiply

d₁ = 20 × 300

Distance 1 (d₁) = 6000 m

Next, we shall determine  the total distance travelled by the emu.

Average speed = 15 m/s

Time 1 (t₁) = 300 s

Time 2 (t₂) = 1 h = 60 mins = 60 × 60 = 3600 s

Total time (T) = t₁ + t₂ = 300 + 3600 = 3900 s

Total distance (D) =?

Average speed = Total distance / total time

15 = D / 3900

Cross multiply

D = 15 × 3900

Total distance (D) = 58500 m

Next, we shall determine the distance travelled in the second part (i.e when he was tired) of the trip.

Total distance (D) = 58500 m

Distance 1 (d₁) = 6000 m

Distance 2 (d₂) =?

D = d₁ + d₂

58500 = 6000 + d₂

Collect like terms

58500 – 6000 = d₂

Distance 2 (d₂) = 52500 m

Finally, we shall determine the speed of the emu in the second part of the trip.

Distance 2 (d₂) = 52500 m

Time 2 (t₂) = 3600 s

Speed 2 (S₂) =?

Speed = distance / time

S₂ = 52500 / 3600

S₂ = 14.58 m/s

Therefore, the emu was running at a speed of 14.58 m/s when he was tired.

Learn more: https://brainly.com/question/24502267

Convert each of the following speed into m/sec:
(i) 72 km/h
(ii) 12.6 km/h
(iii) 23.4 km/h
(iv) 306 km/h

Answers

Answer:

(i) 20 m/s

(ii) 3.5 m/s

(iii) 6.5 m/s

(iv) 85 m/s

Explanation:

1(kilometer/hour) = 1000(meters) / 3600(seconds) can also be expressed as 1(kilometer/hour) = 5/18 (meters/second), which is its simplified form. To convert km/h to m/s, directly multiply the given value of speed by the fraction 5/18.

This information is from: https://www.cuemath.com/measurement/km-h-to-m-s/

Two long straight parallel wires seperated by 20cm apart carry current of 20A and 1OA in opposite directions. What is the magnitude of the force on 1m length of the 20A wire

Answers

Answer:

Force is 2 × 10^-4 N

Explanation:

[tex]{ \bf{F = \frac{ \gamma_{o} I _{1} I _{2} l}{2\pi r} }}[/tex]

F is force

I is current

r is separation distance

gamma is a constant

l is wire length

[tex]F = \frac{(4\pi \times {10}^{ - 7}) \times (20) \times (10) \times 1 }{2\pi \times 0.2} \\ \\ F = 2 \times {10}^{ - 4} \: \: newtons[/tex]

The magnitude of the force on 1m length of the 20A wire is 2×10⁻⁴N.

To determine the answer, we need to know about magnetic field due to a current carrying wire and magnetic force.

What is the magnetic field produced due to a straight current carrying wire of current I₁?

The magnetic field due to a straight wire having current I₁ at a perpendicular distance (say) 'd'  is μ₀I₁ / 2[tex]\pi[/tex]d.

What is the magnetic force experienced by a straight wire of current I₂?

Magnetic force on a current carrying wire of length 'L' and having current I₂ is I₂(L×B). Where B is the magnetic field at that wire.

What is the magnetic field on 20A wire due to 10A wire?d= 0.2m and I₁= 10AB= μ₀I₁ / 2[tex]\pi[/tex]d = 4[tex]\pi[/tex] ×10⁻⁷× 10/ 2[tex]\pi \\[/tex]×0.2 = 10⁻⁵ TWhat is the force on 20A wire?Current (I₂) = 20A, B = 10⁻⁵T and L= 1mMagnitude of force on the 20 A wire of length 1m = I₂×L×B

  ( Here L and B are perpenicular to each other so L×B= L·B)    

                              = 20×1×10⁻⁵

                              =2×10⁻⁴N

Thus, we can conclude that the magnitude of the force on 1m length of the 20A wire is 2×10⁻⁴N.

Learn more about magnetic force here:

https://brainly.com/question/25932320

#SPJ2

A pulse has a speed of 5cm.s^-1. How far does it travel in 2,5s?​

Answers

Answer:

12.5

Explanation:

Its 5m per second times 2.5 seconds so it's 12.5m

Answer:

[tex]\boxed {\boxed {\sf 12.5 \ centimeters}}[/tex]

Explanation:

We are asked to find how far a pulse travels or the distance. Distance is the product of speed and time.

[tex]d= s \times t[/tex]

The speed of the plus is 5 centimeters per second and the time is 2.5 seconds.

s= 5 cm/s t= 2.5 s

Substitute the values into the formula.

[tex]d= 5 \ cm/s \times 2.5 \ s[/tex]

Multiply. Note that the units of seconds will cancel each other out.

[tex]d= 12.5 \ cm[/tex]

The pulse travels 12.5 centimeters.

If Leslie has a hang time of 0.2 seconds, what distance did she jump?

Answers

Answer:

um.......I don't know soory

I think it would be 1

A plane leaves Houston and flies 400 km north to Dallas. The pilot realizes he has forgotten his
golf clubs and returns to Houston to pick them up on the way back to Houston, the plane runs
out of gas and is forced to land in Huntsville, 100 km North of Houston. The trip from Houston to
Dallas took 120 min and the trip from Dallas to Huntsville took 70 min.
A. What is the total distance (in meters) covered by the airplane?
B. What is the plane's total displacement (in meters)?
C What is the average velocity for: 190 MM
i Houston to Dallas
ii. Dallas to Huntsville

Answers

(A) The total distance covered by the plane is 500,000 m

(B) The plane's total displacement is 300,000 m

(C) The average velocity of the plane is 100 m/s

The given parameters:

initial displacement of the plane = 400 km Dallas

final displacement of the train = 100 km Huntsville

the time taken for the initial displacement = 120 min

final time for the second trip = 70 min

A sketch of the plane's trip is as follows:

                                         Dallas

                              400 km ↑ ↓

                                            ↑  ↓ Huntsville  100 km

                                             ↑

                                             ↑

                                        Houston

(A) The total distance covered by the plane:

The total distance is the total path travelled by the plane.

Total distance = 400 km + 100 km = 500 km, = 500,000 m

(B) The plane's total displacement:

The total displacement is the change in the position of the plane.

The displacement = 400 km - 100 km = 300 km = 300,000 m

(C) The average velocity of the plane

[tex]Average \ velocity = \frac{change \ in \ displacement }{change \ in \ time} \\\\Average \ velocity = \frac{400 \ km - 100 \ km}{120 \ \min - \ 70 \ \min} \\\\Average \ velocity =\frac{300 \ km}{2\ hr - 1.167 \ hr} \\\\Average \ velocity = \frac{300 \ km}{0.833 \ hr} \\\\Average \ velocity = 360.14 \ km/hr\\\\Average \ velocity = \frac{360.14 \ km/h}{3.6 \times \frac{km/hr}{m/s} } = 100 \ m/s[/tex]

Learn more here: https://brainly.com/question/12409152

of a ball traveling 24 m in 0.6 seconds.
A baseball pitcher throws a fastball across home plate. Calculate the speed of a
baseball that takes 0.01 seconds to travel 0.30 meters across the entire length of home
plate.

Answers

Answer:

Below

Explanation:

To find the speed of an object you can use this formula

     speed = displacement / elapsed time

For the first one

24 m / 0.6 seconds = 40 m/s

For the second one

0.3 m / 0.01 seconds = 30 m/s

Hope that helped

Help meh in this question plzzz

Answers

The Moment of Inertia of the Disc is represented by [tex]I = \frac{15}{32}\cdot M\cdot R^{2}[/tex]. (Correct answer: A)

Let suppose that the Disk is a Rigid Body whose mass is uniformly distributed. The Moment of Inertia of the element is equal to the Moment of Inertia of the entire Disk minus the Moment of Inertia of the Hole, that is to say:

[tex]I = I_{D} - I_{H}[/tex] (1)

Where:

[tex]I_{D}[/tex] - Moment of inertia of the Disk.[tex]I_{H}[/tex] - Moment of inertia of the Hole.

Then, this formula is expanded as follows:

[tex]I = \frac{1}{2}\cdot M\cdot R^{2} - \frac{1}{2}\cdot m\cdot \left(\frac{1}{2}\cdot R^{2} \right)[/tex] (1b)

Dimensionally speaking, Mass is directly proportional to the square of the Radius, then we derive the following expression for the Mass removed by the Hole ([tex]m[/tex]):

[tex]\frac{m}{M} = \frac{R^{2}}{4\cdot R^{2}}[/tex]

[tex]m = \frac{1}{2}\cdot M[/tex]

And the resulting equation is:

[tex]I = \frac{1}{2}\cdot M\cdot R^{2} -\frac{1}{2}\cdot \left(\frac{1}{4}\cdot M \right) \cdot \left(\frac{1}{4}\cdot R^{2} \right)[/tex]

[tex]I = \frac{1}{2} \cdot M\cdot R^{2} - \frac{1}{32}\cdot M\cdot R^{2}[/tex]

[tex]I = \frac{15}{32}\cdot M\cdot R^{2}[/tex]

The moment of inertia of the Disc is represented by [tex]I = \frac{15}{32}\cdot M\cdot R^{2}[/tex]. (Correct answer: A)

Please see this question related to Moments of Inertia: https://brainly.com/question/15246709

Answer:

Help meh in this question

Explanation:

A footballer kicks a ball at an angle of 45° with the horizontal. If the ball was in the air
for 10 s and lands 4000 m away determine its initial speed.

Answers

Answer:

HOPE THIS ANSWER WILL HELP YOU

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(1 point)O the Great PlainsO the Southwest and CaliforniaO the Eastern WoodlandsO the Pacific Northwest Two students created a list of steps for the following construction. Which student has steps in the correct order, and which does not? Explain.You are given line AB and point C. Construct a line parallel to line AB that passes through point C.Student A Steps:1. Draw a line that intersects points B and C.2. Draw a line through point C and point G.3. Keep the compass at the same width, and place it on point C.4. Keeping the compass at the same width, place it on point F.5. Mark the intersection of the two arcs as point G.6. Open the compass to the width between points D and E.7. Place the compass on point B, and swing an arc that crosses line AB and line BC.8. Label the points D and E.9. Swing an arc that crosses line BC, and label the point F.10. Swing an arc that intersects the arc created from line BC at point C.Student B Steps:1. Draw a line that intersects points B and C.2. Place the compass on point B, and swing an arc that crosses line AB and line BC.3. Label the points D and E.4. Keep the compass at the same width, and place it on point C.5. Swing an arc that crosses line BC, and label the point F.6. Open the compass to the width between points D and E.7. Keeping the compass at the same width, place it on point F.8. Swing an arc that intersects the arc created from line BC at point C.9. Mark the intersection of the two arcs as point G.10. Draw a line through point C and point G. help me please I need help to my question[tex] \sqrt{50} + \sqrt[]{18} - 8 \sqrt[]{2} [/tex] Why does Dr. Tyson believe that pluto is america's favorite planet based on astrophysicist chronicles battle over pluto?A. Because the rest of the world doesn't care B. because pluto seems so small and far away C. because a disney character is also named pluto D. because Americans identify with pluto's spirit The Sierpinski triangle (pictured below) is a fractal image. The original figure is an equilateral triangle. In each step, the computer splits every triangle in the design into 444 congruent equilateral triangles, and removes the center one from the design. The area remaining in a particular design after nnn steps can be shown using the following expression:\qquad\dfrac{25\sqrt{3}}{2}\cdot\left(\dfrac{3}{4}\right)^n 225 3 ( 43 ) n start fraction, 25, square root of, 3, end square root, divided by, 2, end fraction, dot, left parenthesis, start fraction, 3, divided by, 4, end fraction, right parenthesis, start superscript, n, end superscriptThe image shows 4 triangular figures, which represent the Sierpinski triangle fractal at 0, 1, 2, and 3 iterations.The original triangular figure is an equilateral triangle which is entirely shaded. The triangular figure labeled n = 1 is formed by subdividing the original triangle into 4 congruent triangles and removing the middle triangle. The triangular figure for n = 2 is formed by subdividing each of the congruent triangles from the figure labeled n = 1 into 4 congruent triangles and removing the middle triangles. The triangular figure for n = 3 is formed by subdividing each of the congruent triangle from the figure labeled n = 2 into 4 congruent triangles and removing the middle triangles. The image shows 4 triangular figures, which represent the Sierpinski triangle fractal at 0, 1, 2, and 3 iterations. The original triangular figure is an equilateral triangle which is entirely shaded. The triangular figure labeled n = 1 is formed by subdividing the original triangle into 4 congruent triangles and removing the middle triangle. The triangular figure for n = 2 is formed by subdividing each of the congruent triangles from the figure labeled n = 1 into 4 congruent triangles and removing the middle triangles.The triangular figure for n = 3 is formed by subdividing each of the congruent triangle from the figure labeled n = 2 into 4 congruent triangles and removing the middle triangles.What does \dfrac{25\sqrt{3}}{2} 225 3 start fraction, 25, square root of, 3, end square root, divided by, 2, end fraction signify in the expression? An evolutionary theorist believes that large groups of organisms are related to each other by _________ while a design theorist believes that such groups are related to each other in _________ . Identify the largest force acting on a bungee jumper when the rope is slack and while slowing down. i need to write an essay about "a telephone call that changed my life" do u guys have any idea? A receptionist named Tanner spends 3 minutes routing each incoming phone call. In all,how many phone calls does Tanner have to route to spend a total of 21 minutes on thephone? 4. Which of the following processes occur in the mitochondria?A. RespirationB. PhotosynthesisC. FermentationD. Both A and B Markus has 4 white hats and 5 black hats in his closet. If herandomly takes 1 of these 9 hats from his closet, what is theprobability that the hat that Markus takes is black? Find two rational numbers between the root of 2 and root 3 In 1820, how much of the country's African American population was enslaved?Question 12 options:A) 45 percentB) 85 percentC) 65 percentD) 95 percent