n earthquake-produced surface wave can be approximated by a sinusoidal transverse wave. assuming a frequency of 0.60 hz (typical of earthquakes, which actually include a mixture of frequencies), what amplitude is needed so that objects begin to leave contact with the ground? [hint: set the acceleration a > g.

Answers

Answer 1

Thus, an amplitude of 0.69 meters is required for objects to begin escaping contact with the ground during an earthquake with a frequency of 0.60 Hz.

An earthquake-produced surface wave can be approximated by a sinusoidal transverse wave, with a frequency of 0.60 Hz, which is typical for earthquakes.

To determine the amplitude needed for objects to begin leaving contact with the ground, we must ensure that the acceleration (a) of the wave is greater than the acceleration due to gravity (g), which is approximately 9.81 m/s².

The equation for the acceleration of a sinusoidal wave is:

a = Aω²

where A is the amplitude, and ω is the angular frequency. The angular frequency can be calculated using:

ω = 2πf

where f is the frequency (0.60 Hz). Substituting the value, we get:

ω = 2π(0.60) ≈ 3.77 rad/s

Now, we can set the acceleration (a) equal to g:

Aω² = g

Substituting ω and g into the equation, we can solve for the amplitude (A):

A(3.77)² = 9.81

A ≈ 0.69 m

Therefore, an amplitude of approximately 0.69 meters is needed for objects to begin leaving contact with the ground during an earthquake with a frequency of 0.60 Hz.

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Related Questions

Determine the moment at point b using method of section if w=40.3lb/ft Answer:

Answers

Method of section is a significant method of determining forces in members of a structure.

The basic concept of the method of section is to find out the forces acting on the sections by separating them from the rest of the structure.

In this problem, the moment at point b has to be determined using the method of section.

The given weight of the beam is

w = 40.3 lb/ft.

Let's draw the free-body diagram for the given beam:

Free-Body Diagram:

As we can see from the above diagram, the section has been drawn which passes through point b.

We have to determine the moment at point b using this section.

Now, we will write the equation for the moment of the section passing through point b as:

- 12(6) - 4(8) - (20)(12) - (32)(20) - (40.3)(12/2) = 0Mb = 1126.05 lb-ft

the moment at point b is 1126.05 lb-ft.

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how would you find the displacement from t = 0.3 to t = 0.33 under this graph? would it be measured on the time axis?

how would you find the displacement from t = 0.3 to t = 0.33 under this graph? would it be measured on

Answers

Answer:

Explanation:

from t = .3 to t = .33 , velocity appears to be uniform .

uniform velocity = .22 m /s

displacement will be area of the v-t graph which is a rectangle .

= .22 x ( .33 - .3 )

= .22 x .03

= 66 x 10⁻⁴ m

= 6.6 mm .

Which FITT principle means how hard your body is working?
Frequency
Intensity
Type
Time

Answers

Answer:

Intensity

Explanation:

Intensity is how hard you exercise. Time refers to the time of day you exercise and how long each session lasts.

Hope this helps you!

Answer: Intensity

Explanation: Intensity is how hard your exercise. We might categorize this as low, moderate, or high intensity.

is it an inward force or an outward force that is exerted on the clothes during the spin cycle of a washing machine?

Answers

In an automatic washing machine, inward force is exerted on the clothes during the spin cycle or whirling because of the wall of the machine, which facilitates the spinning motion of the clothes in the washing chamber. The clothes are forced in a circular motion, which means the force must go in an inward direction.

A source vibrating at constant frequency generates a sinusoidal wave on a string under constant tension. If the power delivered to the string is quadrupled, by what factor does the amplitude change?.

Answers

When the amplitude varies, it means twice as much.

Which instances of sinusoidal waves are there?

Simple harmonic motion, such the swinging of a pendulum or the weight of a weight on a spring, produces a sinusoidal relationship between position and time. Sound and water waves, for example, can be visualized as sinusoids.

Given:

if the string is given four times as much power.

According to the power that a sinusoidal wave on a stretched string transmits,

P =\(\frac{1}{2}\) μω^A^2v

Where  μ=mass per unit length, w= angular speed, A= amplitude, v= wave speed, P= power delivered.

P ∝\(A^{2}\)

Here, the only terms we need are power and amplitude.

A =K\(\sqrt{P}\)

Where K is constant

Here, "power become quadruple" refers to four,

A = \(\sqrt{4P}\)

A =2 \(\sqrt{P}\)

Therefore, an increase in amplitude by a factor of two is equivalent to a twofold increase.

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A simple pendulum is swinging back and forth through a small angle, its motion repeating every 1.13 s. How much longer should the pendulum be made in order to increase its period by 0.29 s?

Answers

The pendulum should be made approximately 8.7 cm longer in order to increase its period by 0.29 s.

The period of a simple pendulum is given by the formula T=2π√(l/g), where T is the period, l is the length of the pendulum, and g is the acceleration due to gravity. In this case, the original period of the pendulum is given as 1.13 s.

To find out how much longer the pendulum should be made, we can use the following equation:
(T + 0.29) = 2π√((l+x)/g), where x is the additional length that the pendulum needs to be made longer by.

Substituting the given values, we get:
(1.13 + 0.29) = 2π√((l+x)/9.81)

Simplifying the equation, we get:
1.42 = √(l+x)

Squaring both sides, we get:
2 = l/g + x/g

Therefore, x/g = 2 - l/g.

Substituting the values of l and g, we get:
x/9.81 = 2 - (1.13/2π)^2

Solving for x, we get:
x = 0.087 m or 8.7 cm (approx.)

Hence, the pendulum should be made approximately 8.7 cm longer in order to increase its period by 0.29 s.

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To increase the period by 0.29 s, the pendulum should be made approximately 0.0941 m (or 9.41 cm) longer. To answer your question, we need to use the formula for the period of a simple pendulum: T = 2π√(L/g). where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity.



Given that the pendulum's period is 1.13 s, we can solve for its current length as follows: 1.13 s = 2π√(L/g),Squaring both sides, we get: 1.28 s^2 = 4π^2(L/g),Solving for L, we get: L = (g/4π^2) * 1.28 s^2
Now we can find the new length of the pendulum that would increase its period by 0.29 s. Let's call this new length L'.
The new period would be: T' = T + 0.29 s = 1.13 s + 0.29 s = 1.42 s,L' = (g/4π^2) * 2.01 s^2.Finally, to find how much longer the pendulum should be made, we can subtract L from L': L' - L = (g/4π^2) * 0.73 s^2

Since we don't know the value of g, we can't calculate this difference exactly. However, we can use the approximate value of g = 9.81 m/s^2 to estimate the answer. Plugging in this value, we get: L' - L ≈ 0.295 m
Therefore, the pendulum should be made approximately 0.295 m longer to increase its period by 0.29 s.

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Examine the diagram of the cell cycle.
Which label identifies the stage in which the DNA is
copied and the cell grows?
Y
Z
Ow
OX
X
O z
W

Answers

Answer:

W

Explanation:

its the longest period of time

A racing car travels on a circular track with a radius of 250 m. If the car moves with a constant linear speed of 45.0 m/s, find
(a) its angular speed and
(b) the magnitude and direction of its acceleration.

Answers

For A racing car travels on a circular track with a radius of 250 m:

(a) Angular speed (ω) is 0.18 rad/s.

(b) Magnitude of acceleration is  8.1 m/s².

To solve this problem, we can use the following formulas:

(a) Angular speed (ω) is defined as the ratio of the linear speed (v) to the radius (r) of the circular path. Mathematically, it can be expressed as ω = v / r.

(b) The magnitude of acceleration (a) can be determined using the formula a = v² / r.

Now, let's calculate the values:

(a) Angular speed (ω) = v / r

                                    = 45.0 m/s / 250 m

                                    = 0.18 rad/s.

(b) Magnitude of acceleration (a) = v² / r

                                                       = (45.0 m/s)² / 250 m

                                                       = 8.1 m/s².

Since the car is moving in a circular path, the direction of its acceleration is always directed towards the center of the circle. Therefore, the direction of its acceleration is radial inward or centripetal.

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How does solar energy work

Answers

Answer:

When the sun shines onto a solar panel, energy from the sunlight is absorbed by the PV cells in the panel. This energy creates electrical charges that move in response to an internal electrical field in the cell, causing electricity to flow.

What would be the wavelength of the sound
when it travels through the concreate wall
with the frequency of 4500 hertz?​

Answers

Answer: 0,96 m

Explanation: speed in concrete is 4300 m/s

According to wave equation speed v = lambda × frequency

Lambda = speed /frequency

What is needed in a market for a good to be considered elastic?

Answers

If the amount demand of a product changes more than proportionally as its price rises or falls, then it is said to be elastic.

How is a market made elastic?

The more replacements there are for an item, more elastic the good is, according to definition of an elastic good, which is where change in price results in a large movement in demand. Price elasticity of demand is determined by dividing percentage change in quantity required by the percentage change in price.

Products like cars, appliances, and luxury items that are rarely purchased are examples of elastic commodities. In the event that the cost of these products is momentarily high, consumers may decide to put off buying.

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A periodic wave travels from one medium to another. which pair of variables are likely to change in the process?

Answers

velocity and wavelength are likely to change in the process

When a wave travels from one medium to another it undergoes a change in direction and this is referred to as refraction.Refraction is the bending of a wave or a change in direction of a wave as it travels from one medium to another. Refraction is accompanied by change in velocity and wavelength of a wave

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Which is the destructive interference formula for diffraction grating problems? dsin = dcos = dcos = n dsin = n.

Answers

The destructive interference formula for diffraction grating problems is \(d sin \theta = (n+\frac{1}{2})\lambda\).

What is the definition of destructive interference?

Destructive interference happens when the maxima of two waves are 180° out of phase a positive displacement of one wave is canceled exactly by a negative displacement of the other wave.

The formula for brighter patches resulting from constructive interference and darker patches resulting from destructive interference in a diffraction grating is:

\(\rm d sin \theta = n \lambda\)

The grating spacing is denoted by d, the angle of light is denoted by a the fringe order is denoted by n, and the wavelength is denoted by \(\rm \lambda\).

The destructive interference formula is now based on the fact that destructive interference occurs between the fringes.

Hence the destructive interference formula for diffraction grating problems is \(d sin \theta = (n+\frac{1}{2})\lambda\).

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Answer:

A. dsin  =

Explanation:

what is meant by si unit?

Answers

Answer:

The SI base units are the standard units of measurement defined by the International System of Units (SI) for the seven base quantities of what is now known as the International System of Quantities: they are notably a basic set from which all other SI units can be derived.

Explanation:

the difference in point of view that occurs when the lens (or other device) through which the eye views a scene is separate from the lens that exposes the film is called

Answers

The difference in point of view that occurs when the lens (or other device) through which the eye views a scene is separate from the lens that exposes the film is called the parallax effect.

What is parallax effect?

Parallax effect is an interactive technique used by web developers to create a visually engaging experience for users. It works by having the background move at a slower speed than the foreground when the user scrolls down the page. This creates an illusion of depth, as if the user is looking into the scene from different angles. The effect is especially popular for creating immersive experiences such as 3D games, virtual tours, and interactive storytelling. Parallax effect can be used to bring websites to life, offering users an engaging and dynamic experience. It is also a great tool for storytelling, helping to convey emotion and create a unique visual experience.

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a force that tries to slow things down when two things are rubbed together ​

Answers

Answer:

Friction

Explanation:

friction is the force that tries to slow things down when two things are rubbed together.

Answer:

That is friction don't know

Explanation:

how I know that

Two particles are placed near each other. Each has a charge of +2e. One particle exerts both an electric force Fe and a gravitational force Fg on the other particle.

Answers

Answer:

hi your question is incomplete below is the missing part of your question

Question : How does the direction and magnitude of Fe compare to Fg

answer : Not enough information is given

Explanation:

From the above information given in the question the direction and magnitude of FE cannot be compared to Fg and this is simply because the mass of the particle that  force is been exerted on is not given therefore we cannot ascertain the magnitude of the gravitational force. Therefore we can conclude that not enough information is given

What are the properties of mars

Answers

Answer:

Explanation:

Its surface is rocky, with canyons, volcanoes, dry lake beds and craters all over it. Red dust covers most of its surface. Mars has clouds and wind just like Earth

times will the kinetic one
Kinetic energy
. By how many
body increase if its speed is tripled? show by
gy of a
calculation,​

Answers

Answer:

The new kinetic energy is 9 times of the initial kinetic energy.

Explanation:

The kinetic energy of an object is given by the formula as follows :

\(E=\dfrac{1}{2}mv^2\)

Where

m is mass and v is speed of the body

If the speed of the body is tripled. Let v' is the new speed, v' = 3v. The new kinetic energy is E' and it is given by :

\(E'=\dfrac{1}{2}mv'^2\\\\\text{Put v' = 3v}\\\\E'=\dfrac{1}{2}m\times (3v)^2\\\\=\dfrac{1}{2}m\times 9v^2\\\\=9\times (\dfrac{1}{2}mv^2)\\\\E'=9\times E\)

Hence, the new kinetic energy is 9 times of the initial kinetic energy.

A 2.2kg block of ice slides across a rough floor. Its initial velocity is 2.5m/s and its final velocity is 0.50m/s. How much of the ice block melted as a result of the work done by friction? (Latent Heat of water is 3.3*10^5J/kg)

Answers

Answer:A 2.2kg block of ice slides across a rough floor. Its initial velocity is 2.5m/s and its final velocity is 0.50m/s. How much of the ice block melted as a result of the work done by friction? (Latent Heat of water is 3.3*10^5J/kg)

Explanation:

The heat produced by friction between a skate and the ice during movement over the surface melts the topmost layer of ice. However, even when you are still, ice is still slick. When you remain still on ice, there is no friction to produce heat, but the ice is still slippery.

What ice melted as a result of the work done by friction?

Although friction does generate heat, the amount of heat it produces is insufficient to melt ice that is at a very low temperature. But even at low temperatures, ice still creates a slick liquid layer. The formation of a slippery coating even when the item is totally still cannot be explained by frictional heating.

Therefore, A rough floor is traversed by a 2.2 kg lump of ice. It moves at a final speed of 0.50 m/s after starting out at 2.5 m/s. What portion of the ice block melted as a result of the friction's work? (Water has a latent heat of 3.3×105 J/kg.)

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Which of the following is an example of adhesion?

Answers

what are the answers?

Would talking to plants positively or negative affect how they grow?

Answers

Answer:

u go to vanguard? in 6th grade

Answer:

is it correct ? sorry of it is incorrec

Would talking to plants positively or negative affect how they grow?

A car is moving North at 65 miles per hour. A person is walking due East on a different road. Determine how fast the person is moving at the moment when the person is 50 miles West and 70 miles South of the car and the distance between the person and the car is increasing at a rate of 55 miles per hour.

Answers

The person is moving at 60 miles per hour at the moment when the person is 50 miles West and 70 miles South of the car and the distance between the person and the car is increasing at a rate of 55 miles per hour.

We can use the Pythagorean theorem to find the distance between the person and the car:

d^2 = (50)^2 + (70)^2
d = 85 miles (rounded to the nearest mile)

Let x be the distance between the person and the car at time t. We know that dx/dt = 55 mph (the rate at which the distance between the person and the car is increasing).

At the moment in question, the person and the car form a right triangle with the distance between them as the hypotenuse. The person is moving due East, so their velocity vector is horizontal. We can use the Pythagorean theorem again to find the magnitude of the person's velocity vector:

(65)^2 + (dx/dt)^2 = (60)^2
(dx/dt)^2 = (60)^2 - (65)^2
dx/dt = 48.8 mph (rounded to the nearest tenth)

Therefore, the person is moving at 48.8 mph due East at the moment in question.

The persοn is mοving at a speed οf 55 miles per hοur in the Sοuth directiοn when the persοn is 50 miles West and 70 miles Sοuth οf the car, and the distance between them is increasing at a rate οf 55 miles per hοur.

How tο determine the speed of the persοn?

Tο determine the speed at which the persοn is mοving, we can use the cοncept οf relative velοcity.

Let's cοnsider the hοrizοntal and vertical cοmpοnents separately:

Hοrizοntal Cοmpοnent:

The persοn is walking due East, which is perpendicular tο the Nοrth directiοn οf the car. Therefοre, the hοrizοntal cοmpοnent οf the persοn's velοcity dοes nοt affect the speed at which the persοn is mοving away frοm the car.

Vertical Cοmpοnent:

The persοn is 70 miles Sοuth οf the car, and the distance between them is increasing at a rate οf 55 miles per hοur. This indicates that the persοn's vertical pοsitiοn is changing with time. Since the persοn is mοving in the Sοuth directiοn and the distance is increasing, the persοn's speed can be determined by the rate οf change οf the vertical distance.

Given that the distance is increasing at a rate οf 55 miles per hοur, the persοn's speed in the Sοuth directiοn is 55 miles per hοur.

Therefοre, the persοn is mοving at a speed οf 55 miles per hοur in the Sοuth directiοn when the persοn is 50 miles West and 70 miles Sοuth οf the car, and the distance between them is increasing at a rate οf 55 miles per hοur.

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A force acts on a moving rubber ball.
How many of the following changes could happen to the ball because of the force?
• a change in direction
• a change in shape
• a change in mass
• a change in speed
A 1
B 2
C 3
D 4

Answers

Answer:

B

Explanation:

because it would change the direction and speed

How much energy is required to accelerate a golf ball of mass 0.046 kg initially at rest to a speed of 0.75c?

Answers

The answer is 6624000J.

Given mass = 0.046 kg

speed= 0.75 c=2.099\(\times\)\(10^8\)m/s

we know that K.E=\(\frac{1}{2} \times m\times v^2\)

KE=\(\frac{1}{2} \times0.046\times2.88\times10^8\)

KE=6624000J

What is kinetic energy?

The energy an item has as a result of motion is known as kinetic energy in physics. It is described as the effort required to move a mass-determined body from rest to the indicated velocity. The body holds onto the kinetic energy it acquired during its acceleration until its speed changes.The energy that an item has as a result of motion is known as kinetic energy. Essentially, it is the energy of a moving mass. Kinetic energy is a scalar quantity, meaning that it only supplies the magnitude and not the direction of an event. It can never be negative.

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I have no questions.

Answers

Answer: happy Ramadan

Explanation: thanks

PLEASE HELP... ive been stuck on it​

PLEASE HELP... ive been stuck on it

Answers

Answer:

Explanation:

Im not sure if this is right but multiply the 7 by 1.2 and you shoulf robaaly get the answer

Like I said Im not sure so....

Two conducting cylindrical wires are made out of the same material. Wire X has twice the length and twice the diameter of wire Y. What is the ratio Rx/Ry of their resistances?
A) 1/2
B) 1
C) 2
D) 4

Answers

Two conducting cylindrical wires are made out of the same material. Wire X has twice the length and twice the diameter of wire Y. The ratio of their resistances Rx/Ry is 1/2.

The resistance of a cylindrical wire depends on its length and cross-sectional area, and is given by the formula: R = (ρL) / A, where ρ is the resistivity of the material, L is the length of the wire, and A is the cross-sectional area. Since both wires are made of the same material, they have the same resistivity ρ.

Wire X has twice the length and twice the diameter of wire Y. The length of wire Y is L and its cross-sectional area is A. Therefore, the length of wire X is 2L and its cross-sectional area is 4A (since the diameter is doubled, the area is quadrupled).
Using the formula for resistance, the ratio of the resistances of the two wires is:

Rx/Ry = [(ρ x 2L) / (4A)] / [(ρ x L) / A] = 1/2

Therefore, the answer is A) 1/2.

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A softball player moving 3.89 m/s
starts a slide, decelerating at -1.44 m/s2
for 4.80 m. How much time does the
slide take? (She does not come to a stop.)

Answers

Answer:

0.119 s is the correct answer to this question.

Explanation:

As mentioned in the question

U=3.89\ m/s

a=-1.44\ m/s^2

S=4.8\ m

Consider the final speed of the softball covering the distance of 4.8m is v

Now using the equation

\(v^2=U^2+2aS\)

Putting the value of U, A, S in the previous equation we get

\(V^2=3.89^2-2\times 1.44\times 4.8\\V=3.7\ m/s\\\)

Now again using the equation

v=U+at

where U=intial velocity, t= time

Substituting the value of v, U, a

\(3.7=3.89-1.44\times t\\t=0.119\ s\\\)

Hence the slide time is 0.119 s

A 7.50 nF capacitor is charged to 12.0 V, then disconnected from the power supply and connected in series through a coil. The period of oscillation of the circuit is then measured to be Calculate: (a) the inductance of the coil; (b) the maximum charge on the capacitor; (c) the total energy of the circuit; (d) the maximum current in the circuit.

Answers

Given data: Capacitance, C = 7.50 nF, Charged voltage, V = 12.0 VPeriod of oscillation, T = 5.00 ms.Let's solve the given problem:

A) The inductance of the coil, L. We know that the period of the circuit is: T = 2π √LCWhere, L = (T/2π)^2/C Substitute the given values:L = (5.00 x 10^-3 s/ 2π)^2 / (7.50 x 10^-9 F)L = 6.81 mH

B) Maximum charge on the capacitor. Using the formula, Q = CV, Substitute the given values, the maximum amount on the capacitor, Q = (7.50 x 10^-9 F) x (12.0 V)Q = 9.00 x 10^-8 C

C) Total energy of the circuitThe total energy of the circuit is the sum of points stored in the capacitor and inductor. The formula for calculating the energy stored in a capacitor and an inductor is given by: Energy stored in a capacitor, EC = 1/2 x C x V^2Energy stored in an inductor, EL = 1/2 x L x I^2The total energy of the circuit, ET = EC + EL = 1/2 x C x V^2 + 1/2 x L x I^2Substitute the given values in the above formula to get the total energy, ET = (1/2) x (7.50 x 10^-9 F) x (12.0 V)^2 + (1/2) x (6.81 x 10^-3 H) x (0.737 A)^2ET = 6.23 x 10^-5 J

D) Maximum current in the circuit. The maximum current in the course can be calculated by the formula, I = V/√(L/C). Substitute the given values, I = 12.0 V/√(6.81 x 10^-3 H / 7.50 x 10^-9 F)I = 0.737 A

Thus, (a) the Inductance of the coil is 6.81 mH(b) the Maximum charge on the capacitor is 9.00 x 10^-8 C(c) the Total energy of the circuit is 6.23 x 10^-5 J(d) the Maximum current in the course is 0.737 A.

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NEED THIS SOLVED NOW PLEASE HELP WILL GIVE BRAINLYEST A new Community Sports complex is being built in safe harbor the perimeter of the rectangular playing field is 452 yards. The length of the field is 2 yards less than the width. What are the dimensions of the playing field?Find the Width and the Length At the Childrens Hospital in Seattle there are, on average, 60 births per week. Mother and child stay, on average, two days before they leave the hospital. At the Swedish Hospital (also in Seattle), the average number of births per week is 210. Mothers and children stay in the hospital two days, on average. a. How many new mothers, on average, are staying at the Childrens Hospital? b. How many new mothers, on average, are staying at the Swedish Hospital? c. The directors of the two hospitals are negotiating unifying the maternity wards of the two hospitals. They believe this will help reduce the number of new mothers staying in the unified ward. Are they correct? How many new mothers will stay, on average, in the unified ward? You may assume that the average number of births and the length of stay of the new mothers will not change. what objects have no energy At a school social, parents attended with their children, Everyone had a choice between a sweet snack and a salty snack. Here is a two-way table showing the number of adults and children who made each choice of snack.Fill in the Blanks in the table with relative frequency by row. Round to the nearest percent!!! avery wants to transform data from data sources in order to analyze it. to do this, she can click data > get data > navigator window > select table (or tables) to use in the query > edit > ok. Choose the true biconditional statement that can be formed fromthe conditional statement "If the area of a square is 25 squaremeters, then the side length of the square is 5 meters" and itsconverse.A. The side length of a square 5 meters if and only if thearea of the square is not 25 square meters.B. A biconditional cannot be formed because thestatement and its converse are not logically equivalent.O c. If the side length of a square is not 5 meters, then thearea of the square is not 25 square meters.D. The area of a square is 25 square meters if and only ifthe side length of the square is 5 meters. The diameter of a circle is 24 miles. What is the circle's area?d=24 miUse 3.14 for n.square milesSubmit given the Right cylinder what is the Lateral and Surface area I have two riddle for you guys.1.) You see a boat filled with people. It has not sunk, but when you look again you dont see a single person on the boat. Why?2.) What word in the English language does the following: the first two letters signify a male, the first three letters signify a female, the first four letters signify a great, while the entire world signifies a great woman. What is the word? First to get both correct first will be awarded brainliest. help help help help help What is the mean for the set of datashown below?27, 32, 14, 19, 24, 26, 22, 32, 29A 18C 26B 25D 32 page(s) 347348 9.2. what are your most important motivated behaviors? identify the reasons why learning and culture play a role in what we eat. What values are reflected in Hammurabis Code? Write each phrase or sentence as an algebraic expression or equation. DO NOT use a calculator. Do not write an inequality. 1. 6 more than y2. times a number3. 5 less than the product of 10 and c4. 14 more than 6 times t5.The sum of x and y is 186. A number minus 12 is 7 . If there are 20 girls in a class of 30 students, find out the percentage of boys in the class? What are the two types of investments in economics? Suppose two parallel-plate capacitors have the same charge Q, but the area of capacitor 1 is A and the area of capacitor 2 is 2 A.If the spacing between the plates, d, is the same in both capacitors, and the voltage across capacitor 1 is V, what is the voltage across capacitor 2?Express your answer in terms of V but do not type in the symbol "V" A firm can spend its advertising budget on either television ads or newspaper ads. Television costs $2000 per minute while newspaper costs $20 per line. They want to purchase advertising that maximizes sales within their budget of $40000 for advertising. The sales function is: S = 3t'n What are the optimal values of t and n (note: can be decimal values)? What are the maximum sales? What is the value of lambda and what does this mean? Kelseys neighborhood has a straight road with stop signs at both ends and a fire hydrant at its midpoint. On a map, the fire hydrant is located at (12,7) and one of the stop signs is located at (3,11). Where on the map is the other stop sign located? A City Electric Utility Enterprise Fund made its annual interest payment on its outstanding $20 million of 6% bonds, which were originally issued at a premium. Assuming the City maintains it books and records in a manner that facilitates preparation of its fund financial statements, the entry to record this would include a credit to Cash for the amount of the interest checks written and debit(s) to ___________.