Sketch the vector v in space and write its component form. v lies in the xz-plane, has magnitude 5, and makes an angle of 45 degree with the positive z-axis.

4.6 ml of a 5.0 m solution of sodium borate must be added to a 200 ml solution of 50 mm boric acid in order for the ph to be 9.6. the pka of boric acid is 9.24.

Borax, also known as sodium hydrated borate, is an ionic molecule having the chemical formula Na2H20B4O17, also written as Na2B4O710H2O. It is a crystalline solid that has no color and dissolves in water to form a simple solution.

It is frequently sold in powder or granular form and has a wide range of industrial and domestic applications, including as a pesticide, metal soldering flux, ingredient in glass, enamel, and pottery glazes, tanning agent for skins and hides, artificially ageing agent for wood, pharmaceutic alkalizer, and pesticide.

It serves as a buffer in laboratories that work with chemicals.

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Exoplanets are found outside of solar systems but not inside it.

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The correct option is (b) 227 kg.

The 500 lb rock samples the astronauts carried back from the moon weighed 227 kilograms.

The astronaut transported a 550 lb sample.

2.20lbs = 1 kilogram.

1 lbs = 1/2.20

Since, 1 lb = 0.45 kg,

500 lb almost equals 227 kg.

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The matrix of the linear transformation from ℝ2 to ℝ2 that rotates any vector through an angle of 120° in the anticlockwise direction is[tex]\left[\begin{array}{ccc}-1/2&\sqrt{3}/2 \\ \sqrt{3}/2 &-1/2\\\end{array}\right][/tex]

What is a matrix that can be taken for counterclockwise for an angle [tex]\alpha[/tex]

The matrix can be written as [tex]\left[\begin{array}{ccc} cos\alpha &sin\alpha \\ sin\alpha & cos\alpha \\\end{array}\right][/tex]

While putting the value of angle in the matrix, we have

[tex]\left[\begin{array}{ccc} cos120 &sin120 \\ sin120& cos120 \\\end{array}\right][/tex]

for [tex]\alpha[/tex] = 120

and thus, we have the answer as:

[tex]\left[\begin{array}{ccc}-1/2&\sqrt{3}/2 \\ \sqrt{3}/2 &-1/2\\\end{array}\right][/tex]

Therefore, the matrix can be stated as a matrix A of the linear transformation from r2 to r2 that rotates any vector through any angle of 120 in the anticlockwise direction.

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The output force of the given lever is determined as 32 Joules.

The output force of an object is the product of load or weight of an object being lifted and distance through which the load moves.

The output force of the given lever is calculated as follows;

Output force = Load x distance moved load

Output force = 8 N x 4 m

Output force = 32 Joules

Thus, the output force of the given lever is determined as 32 Joules.

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The final speed is found to be 1.3 × 10⁻⁹ seconds.

Initial speed -226000 m/s

Acceleration - 4.0 x 1014 m/s2,

Speed - 781000 m/s

                    a = (v - u ) / t m/s²

As we have to find the time taken, the formula can be altered as,

t = v - u / a

where, t - time taken to reach a final speed

v - final velocity

u - initial velocity

a - acceleration.

Substituting all the given values,

[tex]t =\frac{781000 - 226000} {4* 1014}[/tex]

= 1.3875 × 10⁻⁹ seconds.

So, taken to reach the final speed is found to be 1.3 × 10⁻⁹ seconds.

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A generic protein comprising 387 amino acid residues will have an estimated molecular mass estimate of 42570 daltons.

Large biomolecules and macromolecules known as proteins are made up of one or more extended chains of amino acid residues. Proteins play a variety of roles in living things, including accelerating metabolic reactions, reproducing DNA, responding to stimuli, providing cells and organisms structure, and transporting chemicals. A linear chain of amino acid residues is referred to as a polypeptide. Proteins differ from one another primarily in their amino acid sequence, which is determined by the nucleotide sequence of their genes and typically results in protein folding into a specific 3D structure that determines its activity. At least one lengthy polypeptide is present in every protein.

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The initial velocity of the ball cannot be found only using the given information. Horizontal distance travelled is required to calculate the initial velocity and vice-versa.

In a horizontally launched projectile motion, the initial velocity is the velocity in x-direction which is constant throughout the motion. In y-direction the initial velocity is zero. Using the information given in y-direction, vertical distance can be found.

According to kinematic equations,

Δy = [tex]u_{oy}[/tex]t + 1 / 2 gt²

Δy = 0 + ( 1 / 2 ) * 9.8 * 3²

Δy = 44.1 m

For calculating factors in the x-direction,

[tex]V_{0x}[/tex] = [tex]d_{x}[/tex] / t

Without one of the missing factors, the other cannot be found.

Therefore, the initial velocity of the ball cannot be found only using the given information.

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Answer:

its also difficult for me.

Answer:

because carbon 14 has only a short half life, rather than other elements with longer half lives.

Explanation:

✨science✨

The change in potential energy of this system is = 40 J.

The potential difference, often known as voltage, is equal to the amount of current times the resistance. One Joule, or one Volt, of energy is required for one Coulomb of charge to flow from one place in a circuit to another.

V=Uq The change in potential energy of a charge q transported from point A to point B, divided by the charge, is what is used to determine the electric potential difference between points A and B, or VBVA. The joules per coulomb unit of potential difference is called the volt (V).

This system's potential energy changed by 40 J.

Energy = charge * potential difference

=> Energy = (8v)*5

=> Energy = 40 J

The change in potential energy of this system is = 40 J.

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During the ball's flight up its velocity and acceleration vectors are in opposite direction and during the ball's flight down its velocity and acceleration vectors are in same direction.

Velocity vector is the rate of change of position of an object. Acceleration vector is the rate of change of velocity of an object.

Therefore, during the ball's flight up its velocity and acceleration vectors are in opposite direction and during the ball's flight down its velocity and acceleration vectors are in same direction.

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The seal's average velocity during the chase is 1.67 m/s.

The seal's average speed during the chase is 5 m/s.

The average velocity of an object is the change in the displacement of the object with time.

The seal's average velocity during the chase is calculated as follows;

Δx = xf - xi

Δx = 20 m - 10 m = 10 m

v = Δx/t

v = 10 m / 6 s

v = 1.67 m/s

The average speed is the ratio of total distance to total time of motion.

v = (10 m + 20 m) / 6 s

v = 30 m / 6s

v = 5 m/s

Thus, the seal's average velocity during the chase is 1.67 m/s.

The seal's average speed during the chase is 5 m/s.

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As shown in the figure below, a seal and shark are playing a fun game of tag. The seal swims leftward 10 m then dodges rightwards another 20 m. The seal swims a total time of 6 s.

Answer:

What is the seal's average velocity during the chase?

Answer: 1.67 m/s

What is the seal's average speed during the chase?

Answer: 5  m/s

A decrease in one's ability to hear high-pitched, high frequency sounds is known as high-frequency hearing loss.

The term hearing has to do with the ability to pick out sounds. It is the ability to comprehend the meaning of sounds which may be disconnected or coherent.

Hearing occurs both at low and high frequency. The loss of hearing depends on what area of the ear that has been affected. Thus, if the inner ear of a person has been affected, there is a decrease in one's ability to hear high-pitched, high frequency sounds which is known as high-frequency hearing loss.

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Answer:

atomic number

Explanation:

In the modern periodic table, the elements are listed in order of increasing atomic number. The atomic number is the number of protons in the nucleus of an atom. The number of protons define the identity of an element (i.e., an element with 6 protons is a carbon atom, no matter how many neutrons may be present).

*in the question you have written fives i think it has to be gives .*

please make my answer as brainelist

Representative elements - elements where s and p orbital are filling.

these are also known as group A elements.

Transition elements - elements where d orbitals are filling. these are also known as d - group elements.

a. lithium (li)              - Representative elements

It is element of alkali metals ( group 1A) .

Lithium atomic no. is 3

b. platinum (pt)         - Transition elements

It is element of group 10 (d orbital)

platinum atomic no. is 78

c. promethium (pm)  - Transition elements

Promethium atomic no. is 61

d. carbon (c)             - Representative elements

It is element of block p.

Carbon atomic number is 6.

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The correct answer for the maginitude of the average velocity of the particle between t = 1.0 s and t = 4.0 s is 0.67 m/s .

The average velocity concept was used to solve this problem.First, use the figure to calculate the distance and time required.The average velocity is then calculated using the time interval and total displacement. Average velocity is a measure of displacement over time. This is also known as the average rate of change in position over time.

The average velocity is as follows:

The velocity is denoted by v = (v 2-v 1) / (t 2- t 1)

t 1 = 4 sec

t 2 = 1 sec

t2 - t1 = 4 seconds - 1 second = 3 seconds

x1 = 2 m

x 2 = 0 m

x 2- x1 = 2 m

The velocity formula is v = (x 2- x1) / (t2- t 1)

the answer = 0.67 m/s

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The demand for widgets has a price elasticity of 0.5. If we assume no change in the demand curve for widgets, an increase in sales of 8 percent implies a(n) 32% reduction in price.

The basic formula for the price elasticity of demand coefficient is:

Percentage change in quantity being demanded/percentage change in the price

Demand elasticity the price elasticity of demand (PED) of a good is a measurement of how responsive the quantity demanded is to the price.

Almost all goods see a decrease in quantity demanded when prices rise, however certain goods experience this decrease more than others.

When a price increases by 1% while all other factors remain constant, the price elasticity provides the percentage change in the quantity required. If the elasticity is 2, a 1% increase in price results in a 2% decrease in the amount demanded.

Other elasticities gauge how changes in other factors affect the quantity needed (e.g., the income elasticity of demand for consumer income changes).

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If one object has a greater speed than a second object, the first not necessarily have a greater acceleration.

Acceleration is the rate of change of velocity. An object can have a greater speed but with zero acceleration if the velocity is constant.

For example, Consider a driver A driving his car at a constant speed of 60 Kmph. and crosses another driver B. Consider driver B at rest the moment the driver A crosses him. But the driver B drives faster than the driver A and catches up with driver A even though the driver A was driving at 60 Kmph when the driver B just started driving from 0 Kmph.

Therefore, if one object has a greater speed than a second object, the first not necessarily have a greater acceleration.

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Considering the defintion of area of a rectangle and multiplication in scientific notation, you obtain:

Scientific notation is a quick way to represent a number using powers of base 10.

The numbers are written as a product:

a×10ⁿ

where:

Area of a rectangle

A rectangle is a flat geometric figure with four sides, of which two sides that are opposite parallel to each other have the same length and the remaining two have another length.

The area of a rectangle is calculated from the two different sides (a and b). It is the product of the two contiguous sides of the rectangle:

Area of a rectangle= a×b

where a and b are the measures of the two sides.

A rectangular piece of land with an area of 260,000 m² is 2,000 m long.

To write the area and length in scientific notation, the following steps are performed:

So, the rectangular piece of land with an area of 2.6×10⁵ m² is 2×10³ m long.

In this case, you know that a rectangular piece has:

Replacing in the definition of a rectangle:

2.6×10⁵ m²= width× 2×10³ m

2.6×10⁵ m²÷ 2×10³ m= width

To divide two numbers in scientific notation, you must divide the numbers that are not powers of 10 (what was previously called the "a" number). To divide the powers of ten, you must subtract the exponents. In this case:

Width= (2.6÷ 2)×10⁵⁻³ m

Width= 1.3×10² m

Finally, the width of the rectangular piece is 1.3×10² m.

In summary, you obtain:

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Answer:

c. prone; supine

Explanation:

The mass of body which is accelerated by applying a force of 200n,that speed up it to 36 m/s^2 is 5.5 grams.

Given that,

Applied Force = 200n

Acceleration = 36m/s^2

Let,

consider a mass of the object = m

Now,

Formula used:

Force = mass / acceleration

F = m / a

m = f / a

m =  200/ 36

m = 5.5 gm

Therefore,

Mass of the  body will be 5.5 grams.

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Since the speed is the same through out, acceleration for the trip will be zero.

Acceleration is the rate at which velocity is changing. It is a vector quantity.

If you ride your bike at a constant speed of 5 m/s for 300 s from your house to the mailbox, your acceleration for the trip will be equal to zero.

Because Acceleration = Change in speed ÷ time

Since the speed is constant, acceleration = 0/time = 0

Therefore, the acceleration for the trip is zero.

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Answer:

0 m/s^2

Explanation:

No change in speed or direction = constant velocity = no acceleration.

In other words, it would take Deep Space 1 more than 81,000 years to travel the 4.24 light-years between Earth and Proxima Centauri at its top speed of 56,000 km/h.

At this speed, Voyager would take more than 73,000 years to reach Proxima Centauri. It would still take 4.22 years to get there even if we could move at the speed of light, which is not possible because of Special Relativity.

At perihelion, Helios 2 was able to reach a maximum velocity of approximately 240,000 km/h (150,000 miles/hour), which was attained by the Sun's gravitational attraction alone due to the significant eccentricity (0.54) of the probe's solar orbit (190-days). Even though, technically speaking, Helios 2's perihelion velocity was not a gravitational slingshot but rather a maximum orbital velocity, it continues to maintain the title of fastest man-made object.

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You should begin viewing a specimen with the 10X objective lens that is false.

An optical device known as a lens uses refraction to focus or disperse a light beam. A compound lens is made up of multiple simple lenses (elements), typically aligned along a common axis, as opposed to a simple lens, which is one solid piece of transparent material. Glass or plastic are used to make lenses, which are then polished or molded into the required shape. In contrast to a prism, which just refracts light without focusing it, a lens can focus light to create an image. In addition to focusing visible light, lenses can also be used to disperse various types of waves and radiation, such as explosive, microwave, electron, and acoustic waves.

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The three workers that use technologies that apply the Doppler effect are;

The term Doppler effect has to do with an increase or decrease in the frequency of sound as the observer moves towards or away from the source of the sound.

We know that;

fo = (v + vo/v + vs) fs

fo = frequency of the observer

v = velocity of sound

vs = velocity of source of sound

vo = velocity of observer

fs = true velocity of sound

The three workers that use technologies that apply the Doppler effect are;

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One way to decide whether a sample of matter is a substance or a mixture is by either finding its boiling (liquid) or melting (solid) point.

A substance has a constant boiling/melting point whereas a mixture has different boiling/melting points.

A substance is an element or a compound that cannot be separated using physical or chemical properties. A mixture is made up of two or more compounds which can be separated using physical or chemical properties.

Therefore the easiest way to decide whether a sample of matter is a substance or a mixture is by either finding its boiling (liquid) or melting (solid) point. If after multiple test the result is same it is a substance and if it is different it is a mixture.

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An artwork from The Book of Fixed Stars is seen in the figure.

A man is depicted in the drawing holding a sickle with his left hand and extending his right arm forth. The person is hunched over on his left knee, and above him is inscribed in Arabic calligraphy. There are dots all throughout the artwork with Arabic text that identify specific stars and their brightness as observed by Muslim astronomers.

The monarch of the Turkic Timurid dynasty, which ruled over a large portion of Central Asia in the fifteenth century, received this copy of The Book of Fixed Stars. Individual stars are represented by the dots spread throughout the picture, and the symbols next to the dots denote the stars' varying luminosities,  as observed by Muslim astronomers.

The greatest evidence that intellectual activities in the Muslim world persisted in the era between 1200 and 1450, despite the dissolution of the Abbasid Caliphate, is the sponsorship of scholarship by Turkic dynasties, such as the Timurids.

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