Enter the following expression in the answer box below: 2gλ3m−−−−√, where λ is the lowercase Greek letter lambda.

Answers

Answer 1

Answer:

  [tex]\sqrt{\dfrac{2g\lambda^3}{m}}[/tex]

Explanation:

We can write the expression here, but the point of the problem seems to be to see if you can manipulate the controls on the answer box to reproduce that expression.

  [tex]\boxed{\sqrt{\dfrac{2g\lambda^3}{m}}}[/tex]


Related Questions

it is easier to swim in Ocean than in a water​

Answers

Answer:

Explanation:

Ocean contains salty water which causes the object to float rather than sinking, So yes it's easy to swim in ocean than water without salt.

A rectangular building lot has a width of 52.5 ft and a length of 136 ft. Determine the area of this lot in square meters.

Answers

Answer:  A = l x w  = 16.006 m x 41.344 m = 661.75 m²

Explanation:

Conversion first to meters and then the question is easy

How many ft in a meter?   1ft = .304 m

52.5 ft = 52.5 ft  x .304m/ft = 16.006m

136 ft = 136 ft  x .304 m/ft =  41.344m

What is the equation to find the area of a rectangular lot?

A = l x w  = 16.006 m x 41.344 m = 661.75 m²

There are many units of pressure. The standard one is Pa. Express Pa using only the fundamental units of meters, kilograms and seconds. Explain.

Answers

Answer:

Pa = kg/m.s²

Explanation:

Pascal (Pa) is the S.I unit of pressure. The formula of pressure is given as follows:

Pressure = Force/Area

The S.I Unit for force is Newton (N) and for Area is (m²). Therefore, the S.I Unit of Pressure will be:

Pressure = N/m²

Therefore, it will be equal to Pascal (Pa)

Pa = N/m²

but, the formula for force is given by Newton's 2nd Law:

Force = (mass)(acceleration)

using S.I Units:

N = (kg)(m/s²)

Therefore,

Pa = [(kg.m/s²)/m²]

Pa = kg/m.s²

please help! find magnitude and direction (the counterclockwise angle with the +x axis) of a vector that is equal to a + c

Answers

Answer:

Option (2)

Explanation:

From the figure attached,

Horizontal component, [tex]A_x=A\text{Sin}37[/tex]

[tex]A_x=12[\text{Sin}(37)][/tex]

     = 7.22 m

Vertical component, [tex]A_y=A[\text{Cos}(37)][/tex]

    = 9.58 m

Similarly, Horizontal component of vector C,

[tex]C_x[/tex]  = C[Cos(60)]

     = 6[Cos(60)]

     = [tex]\frac{6}{2}[/tex]

     = 3 m

[tex]C_y=6[\text{Sin}(60)][/tex]

    = 5.20 m

Resultant Horizontal component of the vectors A + C,

[tex]R_x=7.22-3=4.22[/tex] m

[tex]R_y=9.58-5.20[/tex] = 4.38 m

Now magnitude of the resultant will be,

From ΔOBC,

[tex]R=\sqrt{(R_x)^{2}+(R_y)^2}[/tex]

   = [tex]\sqrt{(4.22)^2+(4.38)^2}[/tex]

   = [tex]\sqrt{17.81+19.18}[/tex]

   = 6.1 m

Direction of the resultant will be towards vector A.

tan(∠COB) = [tex]\frac{\text{CB}}{\text{OB}}[/tex]

                  = [tex]\frac{R_y}{R_x}[/tex]

                  = [tex]\frac{4.38}{4.22}[/tex]

m∠COB = [tex]\text{tan}^{-1}(1.04)[/tex]

             = 46°

Therefore, magnitude of the resultant vector will be 6.1 m and direction will be 46°.

Option (2) will be the answer.

A commuter backs her car out of her garage with an acceleration of 1.40 m/s2.A) How long does it take her to reach a speed of 2.00 m/s?B) If she then breaks to a stop in 0.800 s, what is her deceleration?

Answers

Answer:

(A) 1.43secs

(B) -2.50m/s^2

Explanation:

A commuter backs her car out of her garage with an acceleration of 1.40m/s^2

(A) When the speed is 2.00m/s then, the time can be calculated as follows

t= Vf-Vo/a

The values given are a= 1.40m/s^2 , Vf= 2.00m/s, Vo= 0

= 2.00-0/1.40

= 2.00/1.40

= 1.43secs

(B) The deceleration when the time is 0.800secs can be calculated as follows

a= Vf-Vo/t

= 0-2.00/0.800

= -2.00/0.800

= -2.50m/s^2

true or false: the height from which cliff divers jump affects the velocity at which they will fall. velocity is speed in a certain direction.

Answers

Answer:

False

Explanation:

Because that is not true

Metal sphere A has a charge of −????. An identical metal sphere B has a charge of +2????. The magnitude of the electric force on sphere B due to sphere A is F. The magnitude of the electric force on A due to B must be:______.

Answers

Answer:

Force on Sphere A due to B = F

Explanation:

The electrostatic force between the two charges is given by the Coulomb's Law, by the following formula:

F₁₂ = kq₁q₂/r²

where,

F₁₂ = Force on charge 1 due to charge 2

k = Coulomb's Constant

q₁ = magnitude of charge 1

q₂ = magnitude of charge 2

r = distance between both the charges

Similarly, the force on charge 2 due to charge 1 is given by the following formula:

F₂₁ = kq₁q₂/r²

It is clear from the formula that the force of both the charges on each other due to the other charge are same. Therefore, in our case:

Force on Sphere A due to B = Force on Sphere B due to A

Force on Sphere A due to B = F  

A -5.40nC point charge is on the x axis at x = 1.25m . A second point charge Q is on the x axis at -0.625m.
A) What must be the charge Q for the resultant electric field at the origin to be 50.0N/C in the +x direction?
B) What must be the charge Q for the resultant electric field at the origin to be 50.0N/C in the -x direction?

Answers

Answe

a)  Q = 0.820 10⁻⁹ C ,   b)  Q = -3.52 10⁻⁹ C

Explanation:

The electric field is given by the formula

         E = k q / r²

where E is a vector quantity, so it must be added as a vector

          E_total = E₁ + E₂

let's look for the two electric fields

           E₁ = k q₁ / r₁²

           E₁ = 9 10⁹  5.4 10⁻⁹ / 1.25²

           E₁ = 31.10 N / C

           E2 = k Q / r₂²

           E2 = 9 10⁹ Q / 0.625²

           E2 = 23.04 10⁹ Q N / C           (1)

now we can solve the two cases presented

a) The total field is

            E_total = 50.0 N / C towards + x

since the test charge is positive the electric field E1 points to the right in the direction of the + x axis, so the equation is

            E_total = E1 + E₂

             E₂ = E_toal - E₁

             E₂ = 50.0 -31.10

             E2 = 18.9 N /C

With the value of the electric field we can calculate the charge (Q) using equation 1

             E₂ = 23.04 10⁹ Q

              Q = E₂ / 23.04 10⁹

              Q = 18.9 / 23.04 10⁹

              Q = 0.820 10⁻⁹ C

the charge on Q is positive

b) E_total = -50.0 N / C

              E_total = E₁ + E₂

              E₂ = E_total - E₁

              E2 = -50.0 - 31.10

               E2 = -81.10 N /C

we calculate the charge

             Q = E2 / 23.04 10⁹

             Q = -81.1 / 23.04 10⁹

              Q = -3.52 10⁻⁹ C

for this case the charge is negative

4. A vehicle
accelerates from
0 km/h to
100 km/h in 10 s.
What is its average
acceleration?

Answers

Answer:

Average acceleration, [tex]a=2.77\ m/s^2[/tex]

Explanation:

Given that,

Initial velocity, u = 0 km/h

Final velocity, v = 100 km/h = 27.77 m/s

Time, t = 10 s

We need to find the average acceleration of the vehicle. It is given by the change in velocity divided by time. Som,

[tex]a=\dfrac{v-u}{t}\\\\a=\dfrac{27.77-0}{10}\\\\a=2.77\ m/s^2[/tex]

So, its average acceleration is [tex]2.77\ m/s^2[/tex].

The final step of the decision-making model is: A-describe the situation B-weigh the pros and cons C-take action D-review your decision

Answers

Answer: D

Explanation: review your steps

Answer:

its d

Explanation:

A certain common-emitter amplifier has a voltage gain of 100. If the emitter bypass capacitor is removed:___________.
a. The circuit will become unstable b. The voltage gain will decrease
c. The voltage gain will increase d. The circuit will become stable

Answers

Answer:

b the voltage gain will decrease

Explanation:

Q=CV

Which of these terms is defined as the ability to cause motion or create change? A. efficiency B. energy C. force D. sound

Answers

The term that defines the ability to cause motion or create change is called force. Details about force can be found below.

What is force?

Force is the physical quantity that denotes ability to push, pull, twist or accelerate a body and which has a direction.

Force is measured in Newtons and can be calculated by multiplying the mass of the body by its acceleration.

Therefore, it can be said that the term that defines the ability to cause motion or create change is called force.

Learn more about force at: https://brainly.com/question/13191643

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Every factor that is used in search engine ranking can be controlled by the site
owner.
True or False ?

Answers

Answer:

the answer is false

Explanation:

i just took the test

False every factor that is used in search engine ranking cannot be controlled by the site owner.

The ranking of a particular website is controlled is not controlled by the website owner instead it depends upon various factors that indicate towards user's experience. Factors like accessibility for search engines, content quality, keyword use, user intent, links and click through rate are the chief contributing factors that are responsible for promoting high rank of the website in the search engine.

Learn more about search engine:

https://brainly.com/question/21403015

what is the speed of a truck that travels 10 km in 10 minutes?

Answers

Answer:

10 minutes: 10 km

1 minute: 10 ÷ 10 = 1 km

the speed of the truck is 1km/min

Answer:

1 kilometer/minute

Explanation:

If we want to find the speed, we must divide the distance by the time.

[tex]s= \frac {s}{t}[/tex]

The truck travels a distance of 10 kilometers in 10 minutes.

[tex]d= 10 km\\t=10 min[/tex]

Substitute the values into the formula and divide.

[tex]s=\frac{d}{t}[/tex]

[tex]s=\frac{10 km}{10min}[/tex]

[tex]s= 1 km/min[/tex]

The speed of the truck is 1 kilometer per minute.

3. Consider the motion of the object whose velocity-time graph is given
in the diagram. What is the net displacement of the object between times
t = 0 and t = 2?
Velocity-time graph
8
(m/s)
8
12 16
16 m
2 m
8 m
56 m

Answers

Answer:

16 m.

Explanation:

From the question given above, we obtained the following data:

Initial velocity (u) = 0 m/s

Final velocity (v) = 8 m/s

Initial time (t1) = 0 sec

Final time (t2) = 2 secs

Net Displacement (ΔD) =?

Velocity is defined as the rate of change of the displacement of an object with time. Mathematically, it is expressed as:

Change in velocity (Δv) = change in displacement (ΔD) / change in time (Δt)

Δv = ΔD / Δt

Next we shall determine the change in velocity and time. This is illustrated below below:

Initial velocity (u) = 0 m/s

Final velocity (v) = 8 m/s

Change in velocity (Δv) =?

Change in velocity (Δv) = v – u

Change in velocity (Δv) = 8 – 0

Change in velocity (Δv) = 8 m/s

Initial time (t1) = 0 sec

Final time (t2) = 2 secs

change in time (Δt) =?

change in time (Δt) = t2 – t1

change in time (Δt) = 2 – 0

change in time (Δt) = 2 secs.

Finally, we shall determine the net displacement of the object as follow:

Change in velocity (Δv) = 8 m/s

change in time (Δt) = 2 secs.

Net Displacement (ΔD) =?

Δv = ΔD / Δt

8 = ΔD/2

Cross multiply

ΔD = 8 × 2

ΔD = 16 m

Therefore, the net displacement of the object is 16 m.

Which of the following is not a valid use of your driver's license?
proof of your ability to operate a motor vehicle
O proof of your age
O proof of your residency
proof that you have liability insurance

Answers

Answer:

Proof that you have liability insurance

Explanation:

Answer: The answer is proof that you have liability insurance

Explanation:

A wildebeest runs with an average speed of 4.0\,\dfrac{\text m}{\text s}4.0 s m ​ 4, point, 0, start fraction, start text, m, end text, divided by, start text, s, end text, end fraction for 15\,\text s15s15, start text, s, end text. What was its distance travelled in meters?

Answers

Answer:

60m

Explanation:

Answer: 60

Explanation: I got it right on Khan

Gwen releases a rock at rest from the top of a 40-m tower. If g = 9.8 m/s2 and air resistance is negligible, what is the speed of the rock as it hits the ground?

Answers

Answer:

[tex]28\; \rm m \cdot s^{-1}[/tex].

Explanation:

Short Explanation

Apply the SUVAT equation [tex]\left(v^2 - u^2) = 2\, a \, x[/tex], where:

[tex]v[/tex] is the final velocity of the object,[tex]u[/tex] is the initial velocity of the object, [tex]a[/tex] is the acceleration (should be constant,) and[tex]x[/tex] is the displacement of the object while its velocity changed from [tex]v[/tex] to [tex]u[/tex].

Assume that going downwards corresponds to a positive displacement. For this question:

[tex]v[/tex] needs to be found.[tex]u = 0[/tex] because the rock is released from rest.[tex]a = g = 9.8 \; \rm m\cdot s^{-2}[/tex].[tex]x = 40\; \rm m[/tex].

Solve this equation for [tex]v[/tex]:

[tex]\displaystyle v = \sqrt{2\, a\, x + u^2} = \sqrt{2\times 9.8 \times 40} = 28\; \rm m \cdot s^{-1}[/tex].

In other words, the rock reached a velocity of [tex]28\; \rm m\cdot s^{-1}[/tex] (downwards) right before it hits the ground.

Explanation

Let [tex]v[/tex] be the velocity (in [tex]\rm m \cdot s^{-1}[/tex]) of this rock right before it hits the ground. Under the assumptions of this question, it would take a time of [tex]t = (v / 9.8)[/tex] seconds for this rock to reach that velocity if it started from rest and accelerated at [tex]9.8\; \rm m \cdot s^{-2}[/tex].

Note that under these assumptions, the acceleration of this rock is constant. Therefore, the average velocity of this rock would be exactly one-half the sum of the initial and final velocity. In other words, if [tex]u[/tex] denotes the initial velocity of this rock, the average velocity of this rock during the fall would be:

[tex]\displaystyle \frac{u + v}{2}[/tex].

On the other hand, [tex]u = 0[/tex] because this stone is released from rest. Therefore, the average velocity of this rock during the fall would be exactly [tex](v / 2)[/tex].

The displacement of an object over a period of time is equal to the length of that period times the average velocity over that period. For this rock, the length of this fall would be [tex]t = (v / 9.8)[/tex], while the average velocity over that period would be [tex](v / 2)[/tex]. Therefore, the displacement (in meters) of the rock during the entire fall would be:

[tex]\displaystyle \left(\frac{v}{2}\right) \cdot \left(\frac{v}{9.8}\right) = \frac{v^2}{19.6}[/tex].

That displacement should be equal to the change in the height of the rock, [tex]40\; \rm m[/tex]:

[tex]\displaystyle \frac{v^2}{19.6} = 40[/tex].

Solve for [tex]v[/tex]:

[tex]v = 28\; \rm m \cdot s^{-1}[/tex].

Once again, the speed of the rock would be [tex]28\;\rm m \cdot s^{-1}[/tex] right before it hits the ground.

Cool the matter back down to a solid state. How does its shape compare to its original shape?Why? *

Answers

Answer:

i am just answering what this guy said this answer isnt mine ok -v-/ Both soaps and emulsifiers contain only one nonpolar tail group Both soaps and emulsifiers consist of fatty acid chains and a polar head group Both soaps and emulsifiers work in the same manner

Soaps contain two polar tail groups, but emulsifiers have only one polar tail group ,Soaps contain only one nonpolar tail group, but emulsifiers have two nonpolar tail group

The average gorilla can travel 40.23 meters in 4 seconds, calculate the average speed in meters per second (m/s) 

Answers

Answer:

10.0575 m/s

Explanation:

40.23 divide by 4

Answer:

it is 10.0575 m/s

Explanation:

The average speed is calculated by total distance/total time taken. Here, the distance is 40.23 meters and time is 4 seconds.

So, average speed = 40.23/4 m/s

= 10.0575 m/s

What is the Creation Mandate?​

Answers

is the divine injunction found in Genesis 1:28, in which God, after having created the world and all in it, ascribes to humankind the tasks of filling, subduing, and ruling over the earth.

A runner jumps off the ground at a speed of 16m/s. At what angle did he jump from the ground if he landed 8m away?​

Answers

Answer:lol I don’t know good qeustion

Explanation:

An electron with a speed of 0.95c is emitted by a supernova, where cc is the speed of light. What is the magnitude of the momentum of this electron?

Answers

Answer:

2.59×10¯²² Kgm/s

Explanation:

Data obtained from the question include:

Velocity of electron = 0.95c

Momentum =?

Next, we shall determine the velocity of the electron. This can be obtained as follow:

Velocity of electron = 0.95c

Velocity of Light (c) = 3×10⁸ m/s

Velocity of electron = 0.95c

Velocity of electron = 0.95 × 3×10⁸

Velocity of electron = 2.85×10⁸ m/s

Finally, we shall determine the mometum of the electron.

Momentum is simply defined as the product of mass and velocity. Mathematically, it is expressed as:

Momentum = mass x Velocity

Thus, with the above formula, we calculate the momentum of the electron as follow:

Mass of electron = 9.1×10¯³¹ Kg

Velocity of electron = 2.85×10⁸ m/s

Momentum of electron =?

Momentum = mass x Velocity

Momentum = 9.1×10¯³¹ × 2.85×10⁸

Momentum = 2.59×10¯²² Kgm/s

Therefore, the momentum of the electron is 2.59×10¯²² Kgm/s

The energy radiated per unit surface area (across all wavelengths) for a black body with temperature 2200. Use 5.67 x 10-8 for the Stefan-Boltzmann constant.The ____________ describes the power radiated from a black body in terms of its temperature. Specifically, the total energy radiated per unit surface area of a black body across all wavelengths per unit time is proportional to the fourth power of the black body's thermodynamic temperature

Answers

Answer:

Stefan-Boltzmann Law describes the power radiated from a black body in terms of its temperature. Specifically, the total energy radiated per unit surface area of a black body across all wavelengths per unit time is proportional to the fourth power of the black body's thermodynamic temperature

Explanation:

So we now know that

energy per unit area is = zigma x T^4

From this

T = temperature in kelvin

zigma is stefan boltzman constant

So

E/A = 5.67 x 10^-8 x (2200)⁴

= 1.33x 10^6 W/m^2

An elevator moves downward in a tall building at a constant speed of 5.05 m/s. Exactly 5.75 s after the top of the elevator car passes a bolt loosely attached to the wall of the elevator shaft, the bolt falls from rest.
(a) At what time does the bolt hit the top of the still-descending elevator? (Assume the bolt is dropped at t = 0 s.)


(b) Estimate the highest floor from which the bolt can fall if the elevator reaches the ground floor before the bolt hits the top of the elevator. (Assume 1 floor ≌ 3 m.)

Answers

Answer:

Explanation:

The elevator is moving with uniform speed and bolt will fall with acceleration due to gravity g .

Displacement of elevator when bolt starts falling

= 5.05 x 5.75 = 29 m

Let after time t bolt reaches the elevator

in time t , displacement of bolt = 1/2 g t²

= .5 x 9.8 x t² = 4.9 t²

displacement of elevator = 5.05 t

position of elevator = 29 + 5.05 t

According to question ,

29 + 5.05 t = 4.9 t²

4.9 t² - 5.05 t - 29 = 0

t = 3 s approx .

b )

Distance covered by the bolt

= 1 /2 g t²

= .5 x 9.8 x 9

= 44.1 m

Bolt must have to fall from a height of 44.1 m

or in terms of floor it is

44.1 / 3 = 15 th floor .

A car stops in 120 m. If it has an acceleration of –5m/s 2 , how long did it take to stop

Answers

Answer:

t=240s

Explanation:

Distance=120m

Acceleration=-5m/s^2

v=0

Let u=x m/s

Using equation v^2-u^2=2as:-

0-x=2(-5)(120)

-x=-1200

x=1200m/s

Using now equation v=u+at:-

0=1200+-5t

5t=1200

t=240s

If a car stops at 120 meters. If it has an acceleration of –5 meters/second², then it would take  6.928 seconds to stop.

What is acceleration?

The rate of change of the velocity with respect to time is known as the acceleration of the object.

As given in the problem a car stops at 120 meters. If it has an acceleration of –5 meters/second², then we have to find out how long it would take seconds to stop.

By using the second equation of motion,

s = ut + 1/2at²

The distance traveled by car before stopping = 120 meters

acceleration =  –5 meters/second²

-120 = 0 + 0.5×( –5)t²

t² = 120/2.5

t² =48

t = 6.928 seconds

Thus, the time taken by the car before stopping would be 6.928 seconds.

To learn more about acceleration from here, refer to the link;

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Hunk travelled 540 km at an average speed of 90 km/h. If Tim completed the same amount of distance with 1 hour and 30 min less than Hunk, what was Tim's average speed for the whole journey? km/h​

Answers

Answer:120

Explanation:it just is trust me

Usually you walk straight home from school. But today you take
a detour to buy some candy on the way home. Which will
change, the distance of our walk home, the displacement of
your walk home, or both?

Answers

Answer: the distance of our walk home.

Explanation:

In Physics when we speak of distance we refer to the space traveled that is always measured on the trajectory, while displacement refers to the space from an initial position to a final position regardless of the path. When the path is a straight line, the space traveled is equal to the module of the displacement.

Spymore

Explain why a Merry-Go-Round and a Ferris Wheel have a constant acceleration when they are moving?

Answers

Answer:

merry go round and Ferris wheel have a constant acceleration due to the change in direction at every point.

Answer:

A merry-go-round is accelerating. Acceleration is a change in speed, direction, or both. Even though the speed of the merry-go-round does not change, its direction constantly changes as it spins.

Explanation:

Public television station KQED in San Francisco broadcasts a sinusoidal radio signal at a power of 777 kW. Assume that the wave spreads out uniformly into a hemisphere above the ground. At a home 5.00 km away from the antenna,
(a) what average pressure does this wave exert on a totally reflecting surface,
(b) what are the amplitudes of the electric and magnetic fields of the wave, and
(c) what is the average density of the energy this wave carries?
(d) For the energy density in part (c), what percentage is due to the electric field and what percentage is due to the magnetic field?

Answers

Answer:

A) P = 3.3 × 10^(-11) Pa

B) Amplitude of electric field = 1.931 N/C

Amplitude of magnetic field = 6.44 × 10^(-9) T

C) μ_av = 1.65 × 10^(-11) J/m³

D) 50% each for the electric and magnetic field

Explanation:

A) First of all let's calculate intensity.

I = P_av/A

We are given;

P_av = 777 KW = 777,000 W

Distance = 5 km = 5000 m

Thus;

I = 777000/(2π × 5000²)

I = 0.00495 W/m²

Now, the average pressure would be given by the formula;

P = 2I/C

Where C is speed of light = 3 × 10^(8) m/s

P = (2 × 0.00495)/(3 × 10^(8))

P = 3.3 × 10^(-11) Pa

B) Formula for the amplitude of the electric field is gotten from;

E_max = √[2I/(εo•c)].

Where εo is the Permittivity of free space with a constant value of 8.85 × 10^(−12) c²/N.mm²

I and c remain as before.

Thus;

E_max = √[(2 × 0.00495)/(8.85 × 10^(−12) × 3 × 10^(8))]

E_max = √3.72881355932

E_max = 1.931 N/C

Formula for amplitude of magnetic field is gotten from;

B_max = E_max/c

B_max = 1.931/(3 × 10^(8))

B_max = 6.44 × 10^(-9) T

C) Formula for average density is;

μ_av = εo(E_rms)²

Now, E_rms = E_max/√2

Thus;

E_rms = 1.931/√2

μ_av = 8.85 × 10^(−12) × (1.931/√2)²

μ_av = 1.65 × 10^(-11) J/m³

D) The energy density for the electric and magnetic field is the same. So both of them will have 50% of the energy density.

Other Questions
Esme buys jacketsfor 500 each and prices them for 700 each.If the selling price is reduced by 20%. how much profitdoes Esme make on each items . Calculate the mass of sucrose necessary to make a 5% by mass sucrose solution if the solution contains 50.0 ml of distilled water. (Hint: the total mass of the solution is the mass of sucrose plus the mass of water.) Does anyone know where to plot this? supposed the Kingfisher Dives with an average speed of 4.6 m / s for 1.4 seconds before hitting the water. What is the height from which the bird dove The process by which secretory products are packaged into vesicles and then released from the cells is known as What is the central idea of the passage ?In this year came dreadful forewarnings over the land of Northumbria, terrifying the people most woefully: these were immense sheets of lightning and whirlwinds, and fiery dragons were seen flying through the sky.... And not long after ... the harrowing inroads of heathen men destroyed the church of God in Lindisfarne. How many obtuse angles can a triangle have? Its pitcher is shaped like a cylinder with a radius of 1 centimeter and a height of 7.8 cm. What's this pitcher plant's approximate volume? If several negative charges surround a large positive charge, the total force on a far away charge is reduced. What is this effect called Find the value of X in the equation below.g=xc Which of the following ordered pairs is not a solution of the system of inequalities? y > x2 4x 5 y < x2 5x + 6 Question 62 options: A) (1, 7) B) (1, 7) C) (1, 5) D) (1, 6) Simone got 3/4 of a full bar of chocolate. Aly was supposed to get 1/4 of the full chocolate barshe has to get her share from Simone. What fraction of Simone's chocolate should Aly get? Make a math drawing that helps you solve this problem. A lottery claims its grand prize is $10 million, payable over 5 years at $2,000,000 per year. If the first payment is made immediately, what is this grand prize really worth If h(x) = 6 - X, what is the value of (hom (10)? It is recommended that pregnant women over eighteen years old get 85 milligrams of vitamin C each day. A doctor is concerned that her pregnant patients are not getting enough vitamin C. So, she collects data on 45 of her patients and finds that the mean vitamin intake of these 45 patients is 81 milligrams per day with a standard deviation of 12 milligrams per day. Based on a level of significance of = .02, test the hypothesis.H0 : u = 85H1 : u< 85n = 45sample mean = 81 = 12z based on = .02 = -2.05 ( if lessthan -2.05 we will reject the null hypothesis)Sample standard deviation = 12/45 = 1.789z= x-u/(o sample) - 81-85/1.789 = -2.236-2.236is less than -2.05 so wereject the H0 : u = 85 What are harmless bacteria found on the skin Solve the equation. Check for extraneous solutions. |x2|=6x+8 x=_____ (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) Without shipping costs, a helmet costs 28.86. If Jordan paid 38.02 for the helmet, including shipping, how much did the shipping costs? To improve your cardiovascular fitness: A. Include a minimum of 20-30 minutes of aerobic activity 3-4 times a week. B. Use weights or resistance to build your muscles. C. Perform push ups and curl ups daily. D. Stretch every day. What is the solution to this system:4x+9y=28- 4x-y=-28