A lawyer most likely has __________. a.spatial intelligence b.practical intelligence c.analytical intelligence d.creative intelligence

The functions (a) \(f(x) = 3x_1 + 2x^2 + 4x_2 + x^2 - 2x_1x_2\) can be classified as concave, and (b)\(f(x) = x_1x_2\) can be classified as neither convex nor concave.

(a) To determine the convexity or concavity of a function, we need to examine the second derivative. If the second derivative is positive, the function is convex, while if it is negative, the function is concave. For (a) \(f(x) = 3x_1 + 2x^2 + 4x_2 + x^2 - 2x_1x_2\), calculating the second derivative with respect to \(x_1\) and \(x_2\), we find that the mixed partial derivative is -2, which is negative. Hence, this function is concave.

(b) For (b) \(f(x) = x_1x_2\), we calculate the second derivative and find that it is zero. In this case, since the second derivative does not have a definite sign, we cannot classify the function as either convex or concave. Therefore, it is neither convex nor concave.

To further understand  concave here:

https://brainly.com/question/31541552

#SPJ11

Answer:

Broken glass

Explanation:

Complete Question

The diagram for this question is shown on the first uploaded image

Answer:

\(x = 4.70 \ m\)     ,   \(y = 0.2803 \ m\)

Explanation:

From the question we are told that

     The initial velocity of the arcade ball is  \(u = 7.0 \ m/s\)

     The time taken by the ball to enter the basket is  \(t = 0.95 \ s\)

Generally the x -component of the initial  velocity is  

            \(u_x = 7 * cos (45)\)    

=>         \(u_x = 4.95 \ m/s\)

Generally the y -component of the initial  velocity is  

            \(u_x = 7 * sin(45)\)    

=>         \(u_y = 4.95 \ m/s\)

  Generally the distance x is mathematically represented as

                 \(x = u_x * t\)

=>              \(x = 4.95 * 0.95\)      

=>              \(x = 4.70 \ m\)    

Generally from kinematic equation the distance y is mathematically represented as

               \(y = u_y * t - \frac{1}{2} * g * t^2\)

=>            \(y = 4.95 * 0.95 - \frac{1}{2} * 9.8 * 0.95^2\)

=>            \(y = 0.2803 \ m\)

Answer:

Eliminate D as there is no nonconservative force, then look at each energies before and after. The speed of the book will increase, so kinetic energy is increasing. The height of the book is increasing, so gravitational potential energy is increasing. However, since the spring is becoming decompressed, the elastic potential energy is decreasing.

Explanation:

Answer:

it is A

Explanation:

a) Two other forces that act on thee sled are the weight of the daughter and the drag force

b) The drag force slows down the sled while the weight presses it down.

We know that motion is the result of the action of unbalanced forces. From the Newton's third law, we know that if the forces that are acting on an object are balanced that the object is not going to move from its state of rest.

In this case, we are told that a  father pushes his daughter and son on a sled down a hill. The fact that the led is moving is due to the fact that there are forces that are acting on the sled.

The forces that are acting on the sled apart  from the force that was applied in pushing the sled is the drag force and the weight of the son.

The drag force would determine how fast that the sled would move because it acts in opposition to the forward force and tries to slow down the sled as it is moving. The weight of the son does press the sled downwards.

Learn more about forces:https://brainly.com/question/13191643

#SPJ1

Answer:

(a). 2.8 minutes.

(b). 0.4732

Explanation:

Without mincing words, let's dive straight into the solution to the question.

So, for the part (a), the expected arrival time can be calculated as given below.

The distribution falls between the ranges of 0(lower boundary) to 5.5minutes(upper boundary).

Therefore, the expected time = (0 + 5.5)÷ 2 = 2.75 minutes = 2.8 minutes(to 2 decimal places).

(b). The probability that an elevator arrives in less than 2.6 minutes can be calculated as given below;

Recall: We have that the upper boundary = 0 and the lower boundary = 5.5 minutes for the distribution. Also, the upper limit is equal to 2.6 minutes and the lower limits = 0 minutes.

Therefore, 1/ (5.5 - 0) = 1/5.5 = 0.182.

Therefore, the probability that an elevator arrives in less than 2.6 minutes = 0.182 ( 2.6 - 0).

The probability that an elevator arrives in less than 2.6 minutes = ( 0.182 × 2.6).

The probability that an elevator arrives in less than 2.6 minutes = 0.4732.

Water conducts heat away from the body 25 times faster than still air.

When it comes to heat transfer, the rate at which heat is conducted depends on the thermal conductivity of the material. Thermal conductivity refers to the ability of a material to conduct heat. In general, water has a higher thermal conductivity than still air.

The transfer of heat occurs through the process of conduction, where heat is transferred from a warmer object to a cooler one through direct contact. Water molecules are closer together and have more opportunities for molecular interaction compared to air molecules. This closer proximity and increased molecular interaction allow water to conduct heat more efficiently.

Therefore, when water comes into contact with the body, it can absorb and carry away heat more effectively than still air. This is why activities such as swimming or taking a cold shower can help cool down the body faster compared to simply being in a still air environment.

Learn more about Heat.

brainly.com/question/30603212

#SPJ11

Answer: A motionless object can have energy. The energy that the object has is called potential energy.

Explanation:

Dispersion of the diffracted image into the several colours that make up white lightJustification for the ideal selection

:The diffracted picture of the slit will become scattered into the individual hues of white light

when a monochromatic source is replaced by white light.

All other fringes will be the constituent colours, with white serving as the central maxima.

When light with a shorter wavelength is employed,

the width of the central brilliant fringe in the diffraction pattern shrinks

.(2) When the slit is made narrower, the width grows.

For more information about Wavelength

https://brainly.com/question/12924624

#SPJ4

The length of a stereocilium in that would resonate at a frequency of 66 Hz is 4.41 micrometers.

What is the frequency?

The frequency of a recurring event is the number of times it takes place in a predetermined amount of time. The frequency is frequently stated in hertz (Hz), which is the number of wave cycles that occur per second.

The formula below can be used to get the natural frequency of a basic pendulum:

f = (1/2π) x √(g/l)

f = natural frequency

g = acceleration due to gravity (9.81 m/\(s^{2}\))

l = length of the pendulum

We may use the following formula to determine the size of a stereocilium that would resonate at a frequency of 66 Hz if we assume that the stereocilia of the ear act like straightforward pendula:

66 = (1/2π) x √(9.81/l)

Solving l, we get,

l = (9.81/((66 x \(2\pi )/1))^{2}\)

l ≈ 4.41 micrometers

Therefore, if a stereocilium behaves like a simple pendulum and has a length of 4.41 micrometers, it would resonate at a frequency of 66 Hz.

Learn more about Frequency from the given link.

https://brainly.com/question/254161

#SPJ1

Answer:

The average velocity is -7.675 m/s

Explanation:

Given;

initial velocity, u = 0 m/s

final velocity, v = -15.35 m/s

Based on the follow up state " In general, to find the average of any 2 things, you add them together and divide by how many things there are", the average velocity will be calculate as ;

Sum of the velocities = 0 m/s + (-15.35 m/s) = -15.35 m/s

Number of velocites = 2

AVERAGE VELOCITY = (-15.35 m/s) / (2)

AVERAGE VELOCITY = -7.675 m/s

The statement is true. The tangential acceleration of an object on a rotating disk is directly related to the angular acceleration of the disk.

When the disk undergoes angular acceleration, there is a change in the tangential velocity of any object on the disk. This change in velocity results in a tangential acceleration. However, if the disk is not undergoing angular acceleration, there will be no change in the tangential velocity of the object, and therefore no tangential acceleration.

Angular acceleration is the rate at which the angular velocity of a rotating object changes over time. It is a measure of how quickly an object is changing its rotational speed. Mathematically, angular acceleration is defined as the time derivative of angular velocity:

α = dω/dt

where:

Visit here to learn more about radians brainly.com/question/27025090

#SPJ11

If a box is pushed with a force of 75 n while it moves 6.5 m if this is done in 15 s, the power used is 32.5 W

P = W / t

W = F d cos θ

P = Power

W = Work

t = Time

F = Force

d = Distance

θ = Angle between force and displacement vector

F = 75 N

d = 6.5 m

t = 15 s

θ = 0°

P = F d cos θ / t

P = 75 * 6.5 * cos 0 / 15

P = 487.5 / 15

P = 32.5 W

Therefore, the power used is 32.5 W

To know more about power

https://brainly.com/question/13787582

#SPJ1

Answer:

a. rotation.

Explanation:

The turning or spinning of a body on its axis is known as rotation. Rotation refers to the circular movement of an object around an internal or central axis. Examples of rotation include the Earth rotating on its axis, causing day and night cycles, or a spinning top rotating around its central axis.                        

In contrast, revolution refers to the orbital movement of an object around another object. For example, the Earth's movement around the Sun is referred to as its revolution. Inclination relates to the tilt of an object's axis in relation to a reference plane, such as the tilt of Earth's axis that causes the changing seasons. Straight line motion refers to movement along a straight path without any rotational component.

The turning or spinning of a body on its axis is known as rotation (Option a).

Rotation refers to the circular or spinning motion of an object around an axis. It involves the object's internal movement, where different parts of the object move at different speeds and distances from the axis of rotation. The axis can be an imaginary line passing through the center of mass of the object. Rotation is a fundamental concept in physics and astronomy. Examples of rotation include the Earth rotating on its axis, causing day and night cycles, or a spinning top rotating around its central point.On the other hand, inclination (Option b) refers to the angle at which an object deviates from a reference plane or axis. Revolution (Option c) refers to the orbital motion of an object around another object, such as the Earth revolving around the Sun. Straight line motion (Option d) refers to the motion of an object moving along a straight path without any rotational or circular motion.Therefore, the correct answer is a. rotation.

To know more about astronomy, click here https://brainly.com/question/5165144

#SPJ11

Answer:

*  most of the emission would be in the infrared part, the visible radiation would be very small.

*total intensity of the semition decreases that the intensity depends on the fourth power of the temperature

Explanation:

The radiation emitted by the Sun is approximately the radiation of a black body, if the Sun were to cool, the maximum emission wavelength changes

          λ T = 2,898 10⁻³

          λ = 2,898 10⁻³ / T

if the temperature decreases the maximum wavelength the greater values ​​are moved, that is to say towards the infrared. Therefore the emission curve also moves, in this case most of the emission would be in the infrared part, the visible radiation would be very small.

Furthermore, the total intensity of the semition decreases that the intensity depends on the fourth power of the temperature according to Stefan's law

           P = σ A eT⁴

Although the relative humidity value would drop, the dew point would remain constant (because dew point is not dependent on temperature).

The dew point is the temperature at which water vapor in the air begins to condense into liquid water droplets. The due point would increase 10 ºC if the temperature outside increased 10 ºC. The dew point is the temperature at which water vapor in the air condenses into liquid water, meaning that if the atmospheric temperature increases, the amount of water vapor that can remain in the air will also increase, and the dew point temperature will increase accordingly. In other words, the new dew point will be 10 ºC higher than it was before. This means that any water vapor in the air will begin to condense at a higher temperature than before.

To learn more about dew point click here https://brainly.com/question/29550660

#SPJ4

Answer:

a chicken

a chicken came first

Answer:

A Chicken

A chicken came first

They cannot be divided and still keep the properties of the element true about all of these atoms. Option D is corect.

The atom consists of matter that may be split without releasing electrical charges.

It's also the smallest unit of matter with chemical element features. As a result, the atom is the fundamental unit of science.

In the nucleus proton and the neutron is exists. The condition of the atom to be electrically neutral is that the number of the proton and electron should be the same.

They cannot be separated while still maintaining the element's characteristics for each and every one of these atoms.

Hence, option D is corect.

To learn more about the atom refer to the link;

https://brainly.com/question/1566330

#SPJ1

Answer:

The correct answer is d, they cannot be divided and still keep the properties of the element.

Explanation:

You're welcome :)

The gravitational force acting on the spaceship becomes approximately 1/16 of the initial gravitational force between the earth and the spaceship.

Each object having mass attracts other objects having mass towards itself with a certain force known as Gravitational Force. Therefore, this force can be described as a study of the attraction between two masses.

The magnitude of Gravitational force has an inverse relationship with the square of the distance between the center of the respective masses and is directly proportional to the multiplication of the masses. Therefore, the gravitational force can be written as:

\(\displaystyle F= G\frac{M_1M_2}{r^2}\)

If the distance between a spaceship and the center of the earth, R = 4r

\(\displaystyle F'= G\frac{M_1M_2}{R^2}\)

\(\displaystyle F'= G\frac{M_1M_2}{(4r)^2}\)

\(\displaystyle F'= G\frac{M_1M_2}{16r^2}\)

\(\displaystyle F'= \frac{1}{16}F\)

Learn more about gravitational force, here:

brainly.com/question/12528243

#SPJ1

The time it takes for the police car to overtake the speeder is equal to the time it takes for the police car to reach the speeder's velocity, which is asumed moving at constant speed plus the time it takes for the police car to travel the remaining distance.

Constant speed, also known as uniform speed, is a type of motion where an object moves at a steady pace in a straight line. The distance traveled by an object with constant speed is directly proportional to the time elapsed. This means that if the time doubled, the distance traveled would also double, and if the time was halved, the distance traveled would also be halved.

In other words, the velocity of an object with constant speed is constant, which means that its speed remains the same over time. This is in contrast to objects with non-constant speed, where the speed changes over time, for example, as a result of acceleration or deceleration.

Calculate the velocity of the police car after 1 second:

v = u + at

v = 0+(2.20m/s²) ×1

v = 2.20m/s

Calculate the time t it takes for the police car to reach the speeder's velocity:

t = (v-u)/a

t = (v - 2.20m/s)/2.20m/s²

Calculate the distance d traveled by the police car and the speeder during time t:

d = ut +0.5 + at²

Calculate the remaining distance that the police car needs to travel to overtake the speeder:

remaining distance = original distance - d

Calculate the time it takes for the police car to travel the remaining distance:

Time = remaining distance - v

where v is now equal to the speed of the speeder.

Note: In these calculations, the velocity of the speeder is assumed to be constant and the original distance between the police car and the speeder is not given, so it cannot be included in the calculation.

To know more about constant speed, visit:

brainly.com/question/2681210

#SPJ4

The necessary tension in rope ac (in units of lb)

T=105.14 lb

Generally, let it be T lb

moment about

1500=OB*100*sin OBA+OC*T*sin OCA   {since moment =rFsin theta}

OB=10;sin OBA=OA/AB

=8/sqrt(8^2+10^2)

=0.62

OC=sqrt(16^2+16^2)

=22.62

sin OCA=OA/AC

=8/sqrt(14^2+8^2+14^2)

=0.37

Putting these values we get T=105.14 lb

Read more about tension

https://brainly.com/question/15880959

#SPJ1

The magnitude of current flowing through the conductance is:
(a) 0.2 A.

(b) 100 A.

(c) 10 e^(-2t) A.

(d) 0.5 sin(5t) A.

(e) 0 A.

To determine the magnitude of the current flowing through a conductance, we need to use Ohm's Law, which states that the current (I) flowing through a conductor is equal to the voltage (V) across it divided by its conductance (G).

Ohm's Law equation: I = V / G

Given the voltage across the conductance in each case, we can calculate the current magnitude using the given conductance values.

(a) Voltage = 2 mV, Conductance = 10 mS (10 ms)

I = (2 mV) / (10 mS)

I = 0.2 A

The magnitude of the current flowing through the conductance is 0.2 A.

(b) Voltage = -1 V, Conductance = 10 mS (10 ms)

I = (-1 V) / (10 mS)

I = -100 A

The magnitude of the current flowing through the conductance is 100 A.

(c) Voltage = 100 e^(-2t) V, Conductance = 10 mS (10 ms)

I = (100 e^(-2t)) / (10 mS)

I = 10 e^(-2t) A

The magnitude of the current flowing through the conductance is 10 e^(-2t) A.

(d) Voltage = 5 sin(5t) V, Conductance = 10 mS (10 ms)

I = (5 sin(5t)) / (10 mS)

I = 0.5 sin(5t) A

The magnitude of the current flowing through the conductance is 0.5 sin(5t) A.

(e) Voltage = 0 V, Conductance = 10 mS (10 ms)

I = (0 V) / (10 mS)

I = 0 A

The magnitude of the current flowing through the conductance is 0 A.

Learn more about current https://brainly.com/question/1100341

#SPJ11

Answer:

This is one of the hottest summers America has ever seen and Jeremiah Warren is taking advantage of the heat wave and doing a little cooking…in his car!

It was about 98 or 99 degrees in Texas, so Jeremiah thought he’d head outside to see if it was hot enough to actually cook food.  He buttered up a frying pan on his dashboard and filled it with an egg, cookie dough, a hot dog and bacon (mmm…bacon!).  He set up another frying pan on the sidewalk and a few hours later he came back for a mid-day snack.

Explanation:

Answer: -31039 J

Explanation:

We can see the star sirius and its companion, the pup, moving around each other. Careful measurement of this motion can provide the masses of both stars in the system.

How do stars move?

The stars in our galaxy are all said to be orbiting in a nearly circular path around the center of the galaxy because the immense combined mass of the galaxy, which is mostly near the center, creates immense gravity that pulls all the stars in our galaxy into circular orbits.

The study of astronomy has helped us to understand that Stars rise in the northeast and set in the northwest, moving in counter-clockwise circles around a point that's high above the northern horizon.

Learn more about stars at: https://brainly.com/question/12745852

#SPJ1

Answer:

Explanation:

Most corrosive materials are non-flammable, except for acetic acid and formic acid. However, nitric acid and perchloric acid are oxidizers and should be segregated from combustible and flammable materials. Corrosive materials can have other hazards, however, the corrosivity is usually the primary hazard.Flammable liquids burn at normal working temperatures while combustible liquids need heat before they will ignite All this info should help…. ✨

The average speed Alan must travel at for the rest of the journey is 96 km/h.

The given parameters;

The first distance traveled by Alan is calculated as;

\(d_1 = 64 \ km/h \times 4.25 \ h\\\\d_1 = 272 \ km\)

The total distance traveled by Alan is calculated as;

\(\frac{1}{4} \times \ total \ distance = 272 \ km\\\\ total \ distance = 4 \times 272 \ km\\\\ total \ distance = 1,088 \ km\)

The distance traveled by Alan in the second journey is calculated as;

\(d_2 = \frac{3}{4} \times 1,088 \ km = 816 \ km\)

The time of motion for the second journey is calculated as;

\(t_2 = T- t_1\\\\t_2 = 12.75 \ hr - 4.25 \ hr\\\\t_2 = 8.5 \ hr\)

The average speed of Alan in the second journey is calculated as;

\(V = \frac{distance}{time} \\\\V = \frac{816 \ km}{8.5 \ h} = 96 \ km/h\)

Thus, the average speed Alan must travel at for the rest of the journey is 96 km/h.

Learn more here: https://brainly.com/question/17289046

An electric pencil sharpener is a small motorized appliance for sharpening or refreshing the points on lead pencils.

An electric pencil sharpener is a small motorized equipment for polishing or fresh the factors on lead pencils. Within the hollow, a small electric powered motor turns a blade meeting at high velocity. The blades shave wooden and lead from the pencil's cease, bringing it to some extent.

The old-fashioned pencil sharpeners which are established to the wall and cranked through a manage are an instance of a compound system that is composed  simple machines: the wheel and axle and a wedge.

You could sharpen colored pencils in an electric sharpener, however make certain to be very mild with your pencils and often easy your sharpener to put off any wax increase. If performed improperly, sharpening your colored pencils in an electric sharpener can harm each your pencils and your sharpener.

Learn more about electric pencil here:- https://brainly.com/question/1921424

#SPJ9

The tension in the cable B is 231 N

What do you mean by tension?

Tension can be defined as a force along the length of a medium, especially a force carried by a flexible medium, such as a rope or cable. It can be defined as an action-reaction pair of forces acting at each end of the said elements.

From the above figure ,

Ta sin30 = w / sin30

Ta = 750N / sin 30

Ta = 1500 N

In the same way

Tb - Tacos30

(1500N)cos30

231N

Hence, The tension in the cable B is 231 N

To know more about Tension from the given link

https://brainly.com/question/24994188

#SPJ1