The postal service had a special deal. You could ship up to 2 kg for five dollars for a
limited time. For Amy's friend's birthday, Amy wanted to ship her sweets and candy,
and she wanted to get the best bang for her buck. She first made her cookies. They
had a mass of 400 grams. How many kilogram (s) of sweets and candy could Amy
still ship if only the cookies were in the box for the five dollar special?

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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BCC unit in a cell : It consists of 8 atoms on vertices and 1 atom at the centre.

Therefore, side length =  0.282 nm

1. No of atoms in the BCC cell = 1 / 8  *8 + 1 = 2 atoms

Atomic atoms = No of atoms * weight

= 2 * 48.9 g/mol = 97. 8 g / mol;

Mass of one mole = Atomic weight / No of mole

= 97.8 /6.022 * 10²³

= 16. 24 * 10⁻²³ g

Density = mass /  volume

7.24 = 16. 24 * 10⁻²³  /  a³

a = 2.82 * 10⁻⁸ cm ⇒ Side length

Relation between side length and the radius of atom is

a = 4R / √3

2.82 * 10⁻⁸ = 4R / √3

= 1.2212 * 10⁻⁸ cm

Radius = 0.122 nm

side length = 0. 282 nm

The atomic mass of an element is defined as the weighted average mass of that element’s is absolutely False

Atomic mass (Also called Atomic Weight, although this denomination is incorrect, since the mass is property of the body and the weight depends on the gravity) Mass of an atom corresponding to a certain chemical element). The uma (u) is usually used as a unit of measure. Where u.m.a are acronyms that mean "unit of atomic mass". This unit is also usually called Dalton (Da) in honor of the English chemist John Dalton.

It is equivalent to one twelfth of the mass of the nucleus of the most abundant isotope of carbon, carbon-12. It corresponds roughly to the mass of a proton (or a hydrogen atom). It is abbreviated as "uma", although it can also be found by its English acronym "amu" (Atomic Mass Unit). However, the recommended symbol is simply "u".

The atomic masses of the chemical elements are usually calculated with the weighted average of the masses of the different isotopes of each element taking into account the relative abundance of each of them, which explains the non-correspondence between the atomic mass in umas, of an element, and the number of nucleons that harbors the nucleus of its most common isotope.

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The constellation Scorpio will be visible in the year 10,000 A.D.

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In the worst case, a linear search locates a value in an array of length n in O(N) steps.

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By the half-life of radioactive, the remaining mass of radioactive elements is 2.47 pounds.

We need to know about the half-life of the radioactive elements to solve this problem. The radioactive element will decay over time and follow the equation

N = No(1/2)^(t/t'')

where N is the final quantity, No is the initial quantity, λ is the decaying constant, t is time and t'' is the half-life of a radioactive element.

From the question above, we know that

t'' = 9 years

No = 6 pounds

t = 11.5 years

Calculate the remaining mass

N = No(1/2)^(t/t'')

N = 6(1/2)^(11.5/9)

N = 2.47 pounds

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Answer:

D. The slope is 4, and the y-intercept is 12.

Explanation:

Use slope formula.

y2-y1/x2-x1

Points are (-3, 0) and (-2, 4)

4-0/-2+3=

=4/1=4

Slope is 4.

Use point slope formula.

y-y1=m(x-x1)

y-0=4(x+3)

y=4x+12

The y-intercept is 12.

D. The slope is 4, and the y-intercept is 12.

Hope this helps!

Please mark as brainliest if correct!

You should depress the accelerator if the gasoline in your engine is flooded to the ground and maintain for five seconds.

An internal combustion engine, in particular, is a form of heat engine that is fueled by gasoline. The most popular means of propulsion for motorized vehicles are these engines. While gasoline can be used to power turbines, the term "gasoline engine" only applies to piston-driven gasoline engines.

Is a gasoline engine a diesel engine?

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The volume in units of  in^3 is 6030.72 in^3.

The volume in units of 6.03x10^3 in3

1ft = 12 inch

So to convert foot into inches we have to multiply by 12

The volume of container = 3.49ft^3

=3.49×12×12×12

= 6030.72 in^3

The amount of space a container encloses, or how much room is inside of it, is measured by its volume. The volume of a box can be calculated using this straightforward formula: volume V = L × W × H for a box with height H, width W, and length L.

Many different units can be used, however because of the way this formula is written, the volume would have length to the third power dimensions. For instance, if the container's measurements are given in metres, the capacity of the box will be given in metres squared, or m3.

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The distance of ball from the launch point is

0.92 m

Given:

U = 4.5 m/s = initial speed

V = 0.7 m/s = final speed

g = 10 m/s^2 = acceleration due to gravity

To Find:

distance of ball from the launch point

Solution: The law of motion equation

V^2 - U^2 = 2aS

(0.7)^2 - (4.5)^2 = 2*10*S

0.49 - 18.9 = 20S

- 18.41 / 20 = S

S = - 0.92 m

The distance of ball from the launch point is 0.92 m

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Answer:

Time taken = 2.444sec

Explanation:

Greetings !

Given values :-

Required values:-

Solution/ work-out:-

Firstly change the km/hr value to m/s

Then, recall the Velocity-Time Equation:

[tex]vf = vi \: + at[/tex]

substitute known variables into the equation

[tex](12.22) = (0) + (5)t[/tex]

Solve for time

[tex]t = 2.444sec[/tex]

Hope it helps!!

We connect multiple batteries in series in order to get the biggest possible voltage.

Series connection

A circuit is set to be connected in series when there is same flow current through all the component in the circuit.

There is only one path for current to flow.

Parallel connection

A circuit is said to be connected in parallel when all the components are connected across each other's lead.

If we connect two batteries in series then the two batteries add up their voltage. And we have the combined voltage. (as shown in image)

series means connecting one anode to the another cathode of next.

similarly if batteries placed in parallel then the voltage in circuit is same as of individual battery.

We connect multiple batteries in series in order to get the biggest possible voltage.

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The radius of the circular orbit for an electron with a speed of 3 * [tex]10^{6}[/tex] m / s is 0.34 m

We know that,

[tex]F_{c}[/tex] = m [tex]V^{2}[/tex] / r

[tex]F_{m}[/tex] = q V B sin θ

where,

[tex]F_{c}[/tex] = Centripetal force

[tex]F_{m}[/tex] = Force due to magnetic field

m = Mass of electron

V = Speed of electron

r = Radius

B = Magnetic field

Given that,

B = 5 * [tex]10^{-5}[/tex] T

V = 3 * [tex]10^{6}[/tex] m / s

[tex]m_{e}[/tex] = 9.1 * [tex]10^{-31}[/tex] kg

[tex]q_{e}[/tex] = - 1.6 * [tex]10^{-19}[/tex] C

Since the electrons move in a plan perpendicular to the magnetic field,

Sin θ = Sin 90° = 1

By using force balance on electron,

[tex]F_{c}[/tex] = [tex]F_{m}[/tex]

m [tex]V^{2}[/tex] / r = [tex]q_{e}[/tex] V B

r = [tex]m_{e}[/tex] V / [tex]q_{e}[/tex] B

r = ( 9.1 * [tex]10^{-31}[/tex] * 3 * [tex]10^{6}[/tex] ) / ( - 1.6 * [tex]10^{-19}[/tex] * 5 * [tex]10^{-5}[/tex] )

r = 0.34

Centripetal force is the force on a body which makes it go in a curved path. It is denoted as [tex]F_{c}[/tex].

Therefore, the radius of the circular orbit for an electron with a speed of 3 * [tex]10^{6}[/tex] m / s is 0.34 m

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The weight percentage of sodium carbonate in the mixture is = 67.71%  

The weight percentage of sodium bicarbonate in the mixture is = 32.57%

The total mass throughout grams of all the atoms needed to form a molecule per mole is what makes up the molar mass, also known as the molecular weight. Grams per mole is the unit measuring molar mass.

The interaction between sodium carbonate and hydrochloric acid has the following equation:

Na₂CO₃ + HCl  --> NaCl  + CO₂ + H₂O

The reaction's balanced equation is,

Na₂CO₃ + 2HCl  --> 2NaCl  + CO₂ + H₂O -------(2).

When sodium hydrogen carbonate as well as hydrochloric acid react, the following equation results.

NaCO₃ + HCl  --> NaCl  + CO₂ + H₂O ----------------(3)

The Molar mass :

Na₂CO₃ = 106g/mol

NaCO₃ = 84g/mol

NaCl  = 58.5g/mol

The mass of the mixture is Na₂CO₃/NaCO₃ = 9.540g

The molar masses of the constituent elements that make up the compounds are added to determine the molar weight of the substances. In both chemical equations (2) and (3), the unitary technique is employed to calculate the mass of the mixture based on the number of moles (3).

The mass of the sodium carbonate and sodium bicarbonate is calculated with the help of the mass of NaCl formed by the mixture of  Na₂CO₃/NaCO₃ with HCl.

The mixture has the following percentage of sodium carbonate:

        % of Na₂CO₃ =  [tex]\frac{x \times 106}{9.540} \times 100\\[/tex]

                             [tex]=\frac{0.061 \times 106}{9.540} \times 100[/tex]

                             = (6.46/9.540)*100

                             = 67.71%        

The weight percentage of sodium carbonate in the mixture is = 67.71%      

The mixture has the following percentage of NaHCO3:

        % of NaHCO₃ =  [tex]\frac{y \times 84}{9.540} \times 100[/tex]

                             = [tex]=\frac{0.037 \times 84}{9.540} \times 100[/tex]

                              = (3.108/9.540)*100

                             = 32.57%

The weight percentage of sodium bicarbonate in the mixture is = 32.57%

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I understand that the question you are looking for is:

A mixture of sodium carbonate and sodium hydrogen carbonate is treated with aqueous hydrochloric acid. the unbalanced equations for the resulting's reactions are:

Na2CO3 (s) + HCl (aq) --> NaCl (aq) + CO2(g) + H2O (l)

NaHCO3(s) + HCl (aq) --> NaCl (aq) + CO2(g) + H2O (l)

You treat 9.540g of Na2CO3/NaHCO3 mixture with an excess of aqueous HCl and isolate 9.355g of NaCl. What is the weight percent of each substance in the mixture?

The number of outcomes in the compliment of the event are 0.54

No of strawberry plants in the field = 259259

No of plants that are ready for picking = 142142

so no of outcomes = 142142/ 259259 = 0.54 outcomes

The area of mathematics that deals with probability is called probability theory.

Probability is a concept that can be interpreted in a variety of ways, but probability theory tackles the idea in a rigorous mathematical way by expressing it through a series of axioms.

Typically, these axioms formalize probability in terms of a probability space, which links a collection of outcomes known as the sample space to a measure taking values between 0 and 1. An event is any defined subset of the sample space.

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A certain digital waveform has a period that is twice as wide as the pulse. the duty cycle is 50%.

The ratio of pulse width to pulse duration is known as the duty cycle.

In actuality, duty cycle equals pulse duration divided by total out-of-band time.

i.e.) = pulse duration/total time period  

So pulse width=on time + off time  

i.e.)total time period

Duty Cycle=(1/2)*100  

=50%.

All Binary Information in Digital Systems Appear. A Digital Waveform Carries Binary Information as waveforms that represent sequences of bits – Common strategy: HIGH is 1 and LOW is 0.

Digital signals typically have one of two values, such as 0V or 5V. These signals' timing graphs resemble square waves. The main distinction between analog and digital waves is that.

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The Total Distance covered by the train while slowing down is 8062.85 meters.

In the given situation,

We can find the distance covered by the tie fighter from the formula :

                               =>  [tex]S = ut + \frac{1}{2}at^{2}[/tex]

Here S = Distance, u = Initial Velocity, t = Time taken, a = Acceleration

It is given that, u = 607m/s, t = 14.6s, a = -7.5 m/s^2

The negative Acceleration means it is a case of Slowing down.

Putting values into the equation,

                               => S = (607)*(14.6) + (1/2)*(-7.5)*(14.6)^2

                               => S = 8862.2 + (-799.35)

                               => S = 8062.85

The total distance traveled while slowing is: 8062.85m

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All bulbs in the circuit go out happen to the bulb if we had one cell and one light bulb in a series circuit.

A series circuit consists of a channel via each component where the entire current flows. In a parallel circuit, the branches divide the current so that only a portion of it passes through each branch.

A circuit is referred to as a series circuit when all of the devices are linked in series. Each component of a series circuit is connected in such a way that only one channel for charge to travel via the external circuit is possible.

"A circuit with the components arranged in a straight line, so that all the current goes through each component in turn," is the definition of a simple series circuit.

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0.176 cubic decimeters (dm3) of blood it can hold (v of a cylinder = r2h).

Round and hollow Cylinders i.e., when the general change in cross-sectional region is significantly less than the overall change in tension along the cylinder. At the end of the day, the cylinder region variety should be slower than the spatial variety of the actual wave. Round and hollow cylinders are generally utilized as transport compartments to safeguard interior items. The holders are expected to keep from imploding in any event, when they would tumble to the ground and be affected. In certain cases, the terms might be utilized conversely, but there is one vital contrast among cylinder and line, especially in how the material is requested and resilience. Tubing is utilized in underlying applications, so the external breadth turns into the significant aspect.

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Scalar is a physical quantity  having only magnitude. (amount)

scalar quantity : The physical quantity which are specified with the magnitude are known as scalar quantities.

For example :

length - 5m

speed - 10 m/s , 10km/h etc

Mass - 6kg , 20g etc

energy - 30 joule

density - 56kg/m³

There is another quantity known as vector quantity.

vector quantity : The physical quantity which are specified by its magnitude and direction also.

For example, velocity, acceleration, force etc.

Scalar is a physical quantity  having only magnitude. (amount)

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The tension developed in the cable is 245.25 N.

In physics, tension is defined as the pulling force transmitted axially by a string, cable, chain, or other similar object, or by either end of a rod, truss member, or other comparable three-dimensional object.

Tension can also be thought of as the action-reaction pair of forces acting at each end of the aforementioned elements. The polar opposite of compression might be tension.

Only two forces act on the traffic light: the tension T of the cable (upward) and the weight of the traffic light (downward).

The weight is mg = 25 x 9.81 = 245.25 N

If the traffic light is at equilibrium, the resultant of the two forces must be equal to zero (Newton's second law):

T - mg = 0

Therefore, the tension of the cable is.

T = mg = 245.25 N

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Assuming a perpetual inventory system and using the weighted average method, the weighted average unit is determined as $11.44 after the October 22 purchase.

The Weighted Average Cost (WAC) method of inventory valuation in accounting uses a weighted average to establish the COGS and inventory levels.

The price of the products up for grabs is divided by the quantity of them in the weighted average cost technique.

The WAC technique is appropriate under both GAAP and IFRS accounting. Weighted Average Cost (WAC) Method Formula

Weighted Average Unit Costs = [360 units×$12 + (320-180) ×$10] / [360+(320-180)]units}

Weighted Average Unit Costs = $5720 / 500 units

Weighted Average Unit Costs = $11.44

Costs of goods that are offered for sale are calculated using beginning inventory value plus acquisitions.

Units available for sale are the number of units that can be sold by a company or the total number of units that are in its inventory.

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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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Answer:

4.978 m

Explanation:

[tex]\mathsf v_x[/tex] , the x-component of a vector is given by [tex]\boldsymbol v\cos\theta[/tex] where [tex]\theta[/tex] is the angle formed by the vector with the x-axis. The sign of the x-component depends on which quadrant the vector is

Here [tex]\theta = 77.1[/tex]°

[tex]\cost\theta = \cos(77.1) = 0.22325[/tex]

The vector has magnitude of 22.3 m

So the x-component = 22.3 x 0.22325 = 4.978 m

A steel cable is moving an elevator up an elevator shaft at a consistent speed. The consequences of friction are all insignificant. In this case, the forces acting on the elevator are such that the cable's upward force is equal to the force of gravity pulling downward.

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The driving force for heat transfer through physical contact between two objects is determined by: The temperature gradient between the objects.

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If the members of a team are respectful and are able to get along with each other while supporting the ideas of each other, this is known as cohesion.

A team is composed of people that are working together to achieve a common goal. Thus the members of a team have one focus even though the methods that they apply at achieving the ends may differ tremendously.

Thus, if the members of a team are respectful and are able to get along with each other while supporting the ideas of each other, this is known as cohesion.

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The astronaut's weight on the surface of Mars is 259 N

To solve this exercise, the formula and procedure to be applied is:

W = m * g

Where:

Information about the problem:

Applying the weight formula, we get:

W = m * g

W = 70 kg * 3.7 m/s2

W = 259 N

In physics, gravity is the force of attraction that the earth exerts on all bodies possessing mass by pulling them toward its center.

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Answer:

5.

a) it increases

b) 61.8

Explanation:

a) check the chart

b) add the wave speed of 4 and 5 then divide it by 2

The quality (1/2) mv² will be the kinetic energy of the crate .

The kinetic energy of an object is define as , it is a form of energy that an object or a particle has by reason of its motion.

We are know that,

Force exerted on the crate = f

Mass of the crate = m

Speed of motion of the crate =v

Distance traveled by the crate across the floor = d

Time interval passed = t

The motion can be defined as , the change in position of an object with respect to its surroundings in a given interval of time.

Kinetic energy is directly proportional to the mass of the object and to the square of its velocity. If the exert a force f on a crate of mass m, moving it at a speed v a distance d across a floor in a time interval t.

K.E. = 1/2 m v²

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The third object has the most kinetic energy (15.49 joule).

We need to know about kinetic energy to solve this problem. kinetic energy can be defined as the energy of moving object. It can be determined by

KE = 1/2 . m . v²

where KE is kinetic energy, m is mass and v is speed of object.

From the question above, we know that:

m1 = 4.4 kg

m2 = 3.0 kg

m3 = 1.6 kg

v1 = 1.6 m/s

v2 = 3.0 m/s

v3 = 4.4 m/s

Find the kinetic energy

KE1 = 1/2 . m1 . v1²

KE1 = 1/2 . 4.4 . 1.6²

KE1 = 5.632 joule

KE2 = 1/2 . m2 . v2²

KE2 = 1/2 . 3. 3²

KE2 = 13.5 joule

KE3 = 1/2 . m3 . v3²

KE3 = 1/2 . 1.6 . 4.4²

KE3 = 15.49 joule

Hence, the third object has the most kinetic energy (15.49 joule).

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