Water (density=1.0gcm3) rises in a glass capillary tube to a height of 8.4 cm at 25∘C. What is the diameter of the capillary tube? The surface tension of water is 0.07199 kgs2.

Answers

Answer 1

The diameter of the capillary tube is approximately 8.12 micrometers.

To find the diameter of the capillary tube, we can use the relationship between the height of the liquid column in a capillary tube and the surface tension.

The formula for the height of the liquid column in a capillary tube is given by:

h = (2 × T) / (ρ × g × r)

where:

h is the height of the liquid column,

T is the surface tension of the liquid,

ρ is the density of the liquid,

g is the acceleration due to gravity, and

r is the radius of the capillary tube.

In this case, we are given:

h = 8.4 cm = 0.084 m (converted to meters),

T = 0.07199 kg/s²,

ρ = 1.0 g/cm³ = 1000 kg/m³ (converted to kg/m³), and

g = 9.8 m/s².

We can rearrange the formula to solve for the radius of the capillary tube:

r = (2 × T) / (ρ × g × h)

Substituting the given values:

r = (2 × 0.07199 kg/s²) / (1000 kg/m³ × 9.8 m/s² × 0.084 m)

Calculating this expression gives us:

r ≈ 4.06 x 10⁻⁶ m

Finally, we can find the diameter of the capillary tube by doubling the radius:

diameter = 2 × r = 2 × 4.06 x 10⁻⁶ m = 8.12 x 10⁻⁶ m

Therefore, the diameter of the capillary tube is approximately 8.12 micrometers.

Learn more about capillary tube from the link given below.

https://brainly.com/question/30097496

#SPJ4


Related Questions

What happens to an electromagnetic wave as the

frequency (how often a wave hits a crest) decreases?

energy decreases and the wavelength gets shorter

energy increases and the wavelength gets shorter

|

energy decreases and wavelength gets longer

energy increases and the wavelength gets longer

Answers

Answer:

Energy decreases and wavelength gets longer.

Explanation:

The energy of a wave is given by :

[tex]E=hf[/tex]

Where

h is Planck's constant

f is the frequency of the wave

As frequency decreases, the energy of the wave also decreases and wavelength gets longer. Hence, the option is (d).  

which of the nonessential amino acids use glutamate as an intermediate in their synthesis in humans?
a. tyrosine
b. serine
c. aspartate
d. alanine

Answers

The nonessential amino acid which uses glutamate as an intermediate in its synthesis in humans is the alanine. Alanine is a non-essential amino acid because it can be synthesized in the body by reusing amino groups from other amino acids through the process of transamination. 

Glutamate is a key amino acid that plays a crucial role in human metabolism, being involved in the biosynthesis of several amino acids including alanine. The synthesis of alanine from glutamate happens via transamination, a reaction that involves the transfer of the amino group of one molecule to another molecule that accepts it. The enzyme responsible for this reaction is called alanine transaminase or ALT and is found in the liver and muscle tissues. In the liver, the alanine that is produced can be released into the bloodstream and transported to other tissues where it can be used as a source of energy or for the synthesis of proteins.

To know more about amino acids visit:

https://brainly.com/question/31731149

#SPJ11

What must be done to calculate the enthalpy of reaction? Check all that apply.
a. The first equation must be halved.
b. The first equation must be reversed.
c. The second equation must be halved.
d. The second equation must be reversed.
e. The third equation must be halved.
f. The third equation must be reversed.

Answers

To calculate the enthalpy of the reaction, c. The second equation must be halved, d. The second equation must be reversed. and e. The third equation must be halved.

What is the enthalpy of the reaction?

The enthalpy of the reaction is the sum of internal energy in a  system, in this case of the total energy of the reaction  under constant conditions.

Therefore, with this data, we can see that the enthalpy of the reaction is the sum of energy, which obeys a series of laws such as described above.

Learn more about  the enthalpy of the reaction here:

https://brainly.com/question/14047927

#SPJ4

he nucleus of an atom is small compared to the size of the atom. why is this consistent with rutherford's nuclear theory? the nucleus of an atom is small compared to the size of the atom. why is this consistent with rutherford's nuclear theory? rutherford's nuclear theory states that most of the mass of an atom and all of its electrons are contained in a small core called the nucleus. rutherford's nuclear theory states that the nucleus of an atom is small compared to the size of the atom, and, therefore, the nucleus has a relatively low mass compared to the mass of an atom. rutherford's nuclear theory states that the nucleus is small but contains about half of the mass of an atom. rutherford's nuclear theory states that most of the mass of an atom and all of its positive charge are contained in a small core called the nucleus. request answer

Answers

The nucleus of an atom is small compared to the size of the atom because of Rutherford's nuclear theory. Rutherford's nuclear theory states that most of the mass of an atom and all of its positive charge are contained in a small core called the nucleus.

This statement is consistent with the fact that the nucleus of an atom is small compared to the size of the atom. Rutherford's nuclear theory states that the nucleus of an atom is small compared to the size of the atom, and, therefore, the nucleus has a relatively low mass compared to the mass of an atom.

Rutherford's nuclear theory states that the nucleus is small but contains about half of the mass of an atom. The nuclear theory was discovered by Ernest Rutherford in 1911.

You can learn more about the nucleus at: brainly.com/question/23366064

#SPJ11

Mendeleev arranged the
elements by increasing
atomic ?

Answers

Mendeleev arranged the elements in the periodic table on the basis of atomic masses and stated the behavior of the elements in a periodic law. The periodic law is when elements arranged by the atomic masses they exhibit the presence of similar properties. Mendeleev focused on the chemical properties of the elements and Meyer focused on the physical properties of the elements. The change in the periodic table is that the elements are now arranged in the order of their atomic numbers instead of their atomic masses.

Which ion dissociates in Acids?

A- ООН-
B- ОН+
C- ОН+
D- COOH

Answers

B- OH+. Is the answer

Please help
urgently!

Answers

1.  We can see here that energy is required to change the phase of matter. For example, energy is required to melt ice, vaporize water, and condense steam. The amount of energy required to change the phase of matter is called the latent heat.

What is energy?

Energy is a fundamental concept in physics and refers to the ability or capacity of a system to do work or produce a change.

2. The demonstration on the sample of water showed that water can exist in three phases: solid, liquid, and gas. The solid phase is ice, the liquid phase is water, and the gas phase is steam.

The demonstration started with ice at 0°C. As heat was added to the ice, the temperature of the ice increased. However, the ice did not melt until the temperature reached 0°C. This is because the energy from the heat was used to break the bonds between the water molecules in the ice. Once the bonds were broken, the ice melted and became water.

3. Completing the

When all the intermolecular bonds are overcome, the transition between phases is complete. The energy of any substance includes the kinetic energy, potential energy, and thermal energy of its particles.

Page 4:

Heating and cooling curves are graphical representations of how temperature changes during the process of heating or cooling a substance. They illustrate the relationship between temperature and the state of matter.

Heating curves represent the temperature changes of a substance as it is heated.Cooling curves, on the other hand, represent the temperature changes of a substance as it is cooled.

Both curves show:

Plateaus or flat sections: These occur during phase transitions where the temperature remains constant despite the addition or removal of heat.Changes in slope: The slope of the curve represents the rate of temperature change. Steeper slopes indicate faster changes in temperature, while shallower slopes indicate slower changes.

Learn more about energy on https://brainly.com/question/2003548

#SPJ1

What is the oxidation state of copper in Cu(C2H3O2)2? +2 -1 -2 +4 +1

Answers

Answer:

6........................

PLEASEEEEEEEEEEEEE HELP You get 28 points

1. _____are muscles that you control, for example, your bicep.

2. ________muscles are muscles that you DO NOT consciously control, for example, your heart.

3. Tendons are _______ that connect muscles to joints.

Answers

What is the answer choices
1. Skeletal Muscles
2. Smooth
3. Tissues

A solution at 25 ∘C has pOH = 10.53. Which of the following statements is or are true?
The solution is acidic.
The pH of the solution is 14.00 - 10.53.
For this solution, [OH−] = 10−10.53 M.
Only one of the statements is true.
Statements I and II are true.
Statements I and III are true.
Statements II and III are true.
All three statements are true.

Answers

After considering the given data and statements we conclude that the correct option is A , Only one of the statements is true.

The statement that is true for a solution at 25 °C with pOH = 10.53 is:
iii) For this solution, [tex][OH^-] = 10^{(-10.53)} M.[/tex]
Statement i) is false due to the fact that a solution with a pOH greater than 7 is basic, not acidic.
Statement ii) is false due to  the pH of the solution can be evaluated from pOH using the equation [tex]pH + pOH = 14[/tex], not by subtracting pOH from 14. Therefore, the pH of the solution is 14 - 10.53 = 3.47, which is acidic.
Statement iii) is true due to the concentration of hydroxide ions [tex]([OH^-])[/tex] can be calculated from pOH using the equation[tex][OH^-] = 10^{(-pOH)}[/tex]. Therefore, [tex][OH^-] = 10^{(-10.53)} M.[/tex]
To learn more about pH
https://brainly.com/question/26424076
#SPJ4

What volume of 2.0 M hydrochloric acid solution will be consumed when it reacts with 5 grams of magnesium to form magnesium chloride and hydrogen gas?
2HCl + Mg -> MgCl2 + H2​

Answers

Answer:

Explanation:

Remember, matter can neither be created nor destroyed, so every atom of reactant the leftt side of the equation must be accounted for in the products on the right side of the equation. With  magnesium and hydrochloric acid we have:  Mg  +  2HCl   →  MgCl2  +  H2(g).  Magnesium is divalent, and so requires two chloride ions to form magnesium chloride.  Hydrogen gas is a diatomic molecule, so the reaction requires the product to be H2.  Going across the equation from left to right we have 1 atom of magnesium (accounted for on the right side of the equation), and on the left, 2 moles of hydrochloric acid; the two hydrogens represented on the left of the equation are accounted for on the right of the equation.  Likewise, the two chloride anions on the left of the equation are accounted for in the formation of MgCl2 on the right. When all the atoms are accounted for on both sides of the equation, we say the equation is "balanced".

The molal boiling-point and freezing-point constants are different for different solvents.

True or False

Answers

False. The given statement The molal boiling-point and freezing-point constants are different for different solvents is wrong.

Does the solvent affect freezing point depression?

Depression at the Freezing Point. A solution's freezing point is lower than that of the pure solvent. This indicates that for freezing to happen, a solution needs to be cooled to a lower temperature than the pure solvent.

What connection exists between molality and freezing point depression?

The number of solute molecules dissolved in one kilogram of the solvent is known as the molality of the solution, and it is directly inversely related to the drop in freezing point.

What transpires when more solvent is introduced in terms of the freezing point?

The effect of adding a solute to a solvent affects a solution's freezing point in the opposite way that it affects its boiling point. The freezing point of a solution will be lower than that of a pure solvent. The temperature at which a liquid turns into a solid is known as the freezing point.

To know more about the freezing-point  visit:

https://brainly.com/question/40140

#SPJ1

which statement best describes the importance of chemical equations while solving stoichiometry problems?

Answers

Answer:

a

Explanation:

A balanced chemical equation shows reacting ratios of all substances involved in reaction in terms of grams which is important while solving stoichiometry problems.

What is chemical equation?

Chemical equation is a symbolic representation of a chemical reaction which is written in the form of symbols and chemical formulas.The reactants are present on the left hand side while the products are present on the right hand side.

A plus sign is present between reactants and products if they are more than one in any case and an arrow is present pointing towards the product side which indicates the direction of the reaction .There are coefficients present next to the chemical symbols and formulas .

The first chemical equation was put forth by Jean Beguin in 1615.By making use of chemical equations the direction of reaction ,state of reactants and products can be stated. In the chemical equations even the temperature to be maintained and catalyst can be mentioned.

Learn more about chemical equation,here:

https://brainly.com/question/28294176

#SPJ3

give the orbital configuration of the following elements using the s, p, d, f type representation. (answer format is: 1se2 = 1s 2 ) helium, nitrogen, silicon helium nitrogen silicon

Answers

These orbital configurations represent the arrangement of electrons within the different energy levels and subshells of the respective elements.

The orbital configurations of the given elements are as follows:

Helium: 1s² - Helium has two electrons that occupy the 1s orbital.

Nitrogen: 1s² 2s² 2p³ - Nitrogen has two electrons in the 1s orbital, two electrons in the 2s orbital, and three electrons in the 2p orbital (specifically, 2p³ indicates three electrons in the 2p subshell).

Silicon: 1s² 2s² 2p⁶ 3s² 3p² - Silicon has two electrons in the 1s orbital, two electrons in the 2s orbital, six electrons in the 2p orbital, two electrons in the 3s orbital, and two electrons in the 3p orbital (specifically, 3p² indicates two electrons in the 3p subshell).

To know more about the orbital configurations refer here :

https://brainly.com/question/13840107#

#SPJ11

When you add an inert gas, the reaction

Answers

Answer: When an inert gas is added to the system in equilibrium at constant pressure, then the total volume will increase.

Explanation:

.if you measure the value of Hydronium concentration is 3.0x10-3 M/L, could you predict the solution to be acid, base, or neutral? Explain your answer. 2.If you measure the number of Hydronium ions is 3.0x1012 , could you predict the solution to be acid, base, or neutral? Explain your answer. 3.If you measure the number of Hydroxide ions is 3.0x10-2 moles, could you predict the solution to be acid, base, or neutral? Explain your answer.

Answers

Explanation:

1. If you measure the value of Hydronium concentration is 3.0x10-3 M/L, the solution can be predicted to be acidic. This is because the concentration of hydronium ions, H3O+, is greater than the concentration of hydroxide ions, OH-. The pH value of an acidic solution is less than 7. Since hydronium ions are present in a high concentration, the pH value of the solution will be less than 7.

2. If you measure the number of Hydronium ions is 3.0x1012, the solution can be predicted to be acidic. This is because the concentration of hydronium ions is greater than 1.0 x 10^-7 M/L. The pH value of an acidic solution is less than 7.

3. If you measure the number of Hydroxide ions is 3.0x10-2 moles, the solution can be predicted to be basic. This is because the concentration of hydroxide ions is greater than 1.0 x 10^-7 M/L. The pH value of a basic solution is greater than 7. Hence, if the number of hydroxide ions is greater than 1.0 x 10^-7 M/L, the solution will be basic.

Learn more about prediction of acid, base or neutral in a solution here https://brainly.in/question/11844799

#SPJ11

what is the difference between an enzyme and an inhibitor?​

Answers

Enzyme- a substance produced by a living organism which acts as a catalyst to bring about a specific biochemical reaction
Inhibitor- a thing which inhibits someone or something

When the water inside a living cell freezes, the ice crystals damage the cell. The wood frog is a unique creature that can survive being frozen. In extremely cold

conditions, the frogs liver produces large amounts of glucose (C6H12O6), which becomes concentrated in the frog's cells. How does the glucose help prevent ice

from forming in the frogs cells?

A)The added glucose dissociates and creates faster moving molecules.

B) The added glucose lowers the vapor pressure relative to the pure solvent.

C) The added glucose requires more energy which warms the frog

D)The added glucose lowers the freezing point of the solution within the frog's cells.

Answers

but i think its B but i need answer too

Theories must be supported by many lines of evidence.

True

or

False​

Answers

the answer to this question is true

Atoms have no overall charge. Describe what this means about the number of protons and electrons they contain

Answers

To put it simply, the amount of protons and electrons are equal as protons are positive and electrons are negative.

The density of ethanol is 0.789 g/mL. What is the mass of 150 ml. of this alcohol?

Answers

Answer: 120 g

Explanation:

1,670,000,000 in
scientific notation pleaseeee

Answers

Answer:

1.67 × 10^9

Explanation:

1.67*10^9 is the answer, because with an exponent the number on the left must be less than 10. Multiplying that number by 10^9 moves the decimal to the right 9 times, adding 7 zeroes.

A train travels 854 meters in 75 seconds. What is the speed of the train?

Answers

Answer:

11.3m/s

Explanation:

What is one end of a magnetized compass's needle attracted to?

Answers

Answer: The red on is attracted to The north pole

Explanation:

according to the balanced reaction below, calculate the quantity of moles of no₂ gas that forms when 5.20 × 10⁻³ mol of n₂o₅ gas completely reacts: 2 n₂o₅(g) → 4 no₂(g) o₂(g

Answers

when 5.20 × 10⁻³ moles of N₂O₅ gas completely reacts, 2.60 × 10⁻³ mol of NO₂ gas is formed.

What is Moles?

A mole is a unit of measurement of the quantity of a substance in the International System of Units. It is defined as exactly 6.02214076×10²³ particles, which can be atoms, molecules, ions or electrons.

To calculate the quantity of moles of NO₂ gas formed, we need to use the stoichiometric coefficients from the balanced reaction.

The balanced equation is:

2 N₂O₅(g) → 4 NO₂(g) + O₂(g)

According to the balanced equation, for every 2 moles of N₂O₅ that react, 4 moles of NO₂ are produced.

So, we can set up a ratio:

2 moles of N₂O₅ : 4 moles of NO₂

Now, we can use this ratio to calculate the moles of NO₂ gas formed when 5.20 × 10⁻³ mol of N₂O₅ gas reacts.

Given: Moles of N₂O₅ = 5.20 × 10⁻³ mol

Using the ratio:

4 moles of NO₂

------------------- = x moles of NO₂

2 moles of N₂O₅

x = (4/2) × (5.20 × 10⁻³) = 2.60 × 10⁻³ mol

Therefore, when 5.20 × 10⁻³ mol of N₂O₅ gas completely reacts, 2.60 × 10⁻³ mol of NO₂ gas is formed.

To learn more about Moles from the given link

https://brainly.com/question/30214618

#SPJ4

evaluate the double integral 3x-y da where r is the region in the first quadrant enclosed by the circle x^2 y^2=9 and the lines x=0 and y=x by changing to polar coordinates

Answers

The value of the double integral ∬(3x - y) dA, where the region R is in the first quadrant enclosed by the circle x² + y² = 9, the line x = 0, and the line y = x, using the transformation to polar coordinates, is 27/4√2.

To evaluate the double integral, we can switch to polar coordinates. In polar coordinates, the variables x and y are expressed in terms of r (radius) and θ (angle).

The region R, which is enclosed by the circle x² + y² = 9, can be expressed in polar coordinates as 0 ≤ r ≤ 3 and 0 ≤ θ ≤ π/4. This represents the first quadrant portion of the circle.

The Jacobian of the transformation from Cartesian to polar coordinates is r (the absolute value of the determinant of the Jacobian matrix). So, dA in polar coordinates is equal to r dr dθ.

Now, we can express the integral in terms of polar coordinates:

∬(3x - y) dA = ∫∫(3r cos θ - r sin θ) r dr dθ

Next, we need to set up the limits of integration. Since the region R is bounded by x = 0, y = x, and the circle x² + y² = 9, we can set up the limits as follows:

0 ≤ θ ≤ π/4 (corresponding to the angle that spans the first quadrant)

0 ≤ r ≤ 3 (corresponding to the radius of the circle)

Now, we can evaluate the integral:

∫[0,π/4] ∫[0,3] (3r cos θ - r sin θ) r dr dθ

By integrating with respect to r first, we get:

∫[0,π/4] [(3/4) r³ cos θ - (1/2) r³ sin θ] |[0,3] dθ

Simplifying further, we obtain:

∫[0,π/4] [(27/4) cos θ - (27/2) sin θ] dθ

Finally, we integrate with respect to θ:

[27/4 sin θ + (27/2) cos θ] |[0,π/4]

Plugging in the limits of integration, we have:

(27/4 sin(π/4) + (27/2) cos(π/4)) - (27/4 sin(0) + (27/2) cos(0))

Evaluating the trigonometric functions at the respective angles, we find:

(27/4 (1/√2) + (27/2) (1/√2)) - (27/4 (0) + (27/2) (1))

Simplifying further, we get the final result:

(27/4√2 + 27/2√2) - (0 + 27/2) = (27/4√2 + 27/2√2) - 27/2 = 27/4√2

Therefore, the value of the double integral ∬(3x - y) dA over the region R, using the transformation to polar coordinates, is 27/4√2.

To learn more about polar coordinates  here

https://brainly.com/question/14436205

#SPJ4

If the oxidation of glucose 6-phosphate via the pentose phosphate pathway were being used primarily to generate NADPH for biosynthesis, the other product, ribose 5-phosphate, would accumulate. What problem might this cause? Ribose 5-phosphate would oxidize NADPH. It would quickly deplete NADPH in the cell. NADP+ would react with ribose 5-phosphate. It would force the reaction in the reverse direction

Answers

If the oxidation of glucose 6-phosphate via the pentose phosphate pathway were being used primarily to generate NADPH for biosynthesis, the other product, ribose 5-phosphate would accumulate. The accumulation of ribose 5-phosphate would lead to a problem, i.e. it would quickly deplete NADPH in the cell.

This is because ribose 5-phosphate is produced in the first step of the pentose phosphate pathway, and if it is not utilized in the next step, it will accumulate. This accumulation of ribose 5-phosphate will have a detrimental effect on the cell's metabolic pathways. In this case, the ribose 5-phosphate will compete with NADP+ as an electron acceptor. Since NADPH is required for the synthesis of fatty acids, nucleotides, and other essential biomolecules, its depletion will lead to an insufficient supply of these biomolecules. Therefore, the accumulation of ribose 5-phosphate will impair the biosynthetic processes that require NADPH.

Thus, it is essential to balance the pentose phosphate pathway to maintain the cellular redox balance, which is necessary for the normal functioning of the cell.

know more about biosynthetic processes

https://brainly.com/question/29515457

#SPJ11

Highlighting that a prescription drug as a 90% success rate, rather than a 10% chance of death, is an example of this type of bias Escalation of Commitment Availability heuristic Representative heuristic Framing

Answers

We can see here that highlighting that a prescription drug as a 90% success rate, rather than a 10% chance of death, is an example of framing bias.

What is prescription drug?

A prescription drug, also known as a prescription medication or prescription medicine, is a pharmaceutical drug that requires a valid prescription from a licensed healthcare professional, such as a physician, nurse practitioner, or dentist, to obtain and use.

Prescription drugs are different from over-the-counter (OTC) drugs, which can be purchased without a prescription.

Framing bias is a type of cognitive bias that occurs when people make decisions based on how a problem is presented to them, rather than on the actual information that is presented.

Learn more about prescription drug on https://brainly.com/question/1392739

#SPJ4

how many more grams should be added​

Answers

Answer:

50?

I think but not 100% sure if not lmk

at a particular temperature, the solubility of h₂ in water is 0.0200 m when the partial pressure is 0.0900 atm. what will the solubility (in m) be when the partial pressure of h₂ is 1.54 atm?

Answers

At a particular temperature, the solubility of H2 in water is 0.0200 M when the partial pressure is 0.0900 atm. To determine the solubility (in M) when the partial pressure of H2 is 1.54 atm, we can use Henry's law, which states that the solubility of a gas in a liquid is directly proportional to the partial pressure of the gas. By applying this law, we can set up a proportion to find the solubility at the given partial pressure.

According to Henry's law, the solubility of a gas in a liquid is directly proportional to the partial pressure of the gas. Mathematically, this can be expressed as:

Solubility = k * Partial pressure

Here, k represents the proportionality constant.

Using the given information, we have the solubility of H2 as 0.0200 M when the partial pressure is 0.0900 atm. Let's assume k as the proportionality constant. We can set up a proportion using the solubility and partial pressure values:

0.0200 M / 0.0900 atm = k * (1.54 atm)

Solving for k, we find:

k = (0.0200 M / 0.0900 atm) / (1.54 atm) = 0.0143 M/atm

Now, we can use the proportionality constant to determine the solubility at the given partial pressure of 1.54 atm:

Solubility = k * Partial pressure = 0.0143 M/atm * 1.54 atm = 0.022 M

Therefore, the solubility of H2 in water will be approximately 0.022 M when the partial pressure of H2 is 1.54 atm.

To learn more about Henry's law, refer:

brainly.com/question/30636760

#SPJ11

Other Questions
which of the following is not a form of fdi? a) wholly-owned affiliate b) joint venture c) exporting d) greenfield investment Explain how hormones regulate how plants grow throughout theirlives, especially in response to changes in environmentalconditions. Which of these statements about postimpressionist paintings is correct?a. They focused on capturing realistic landscapes.b. They emphasized precise detail and accuracy.c. They rejected traditional artistic techniques.d. They primarily depicted religious subjects. Package Corporation acquired 90 percent ownership of Sack Grain Company on January 1, 20X4, for $115,200 when the fair value of Sack's net assets was $17,000 higher than its $111,000 book value. The increase in value was attributed to amortizable assets with a remaining life of 10 years. At that date, the fair value of the noncontrolling interest was equal to $12,800 During 20X4, Sack sold land to Package at a $6,500 profit. Sack Grain reported net income of $19,000 and paid dividends of $4,800 in 20X4. upwellings bring cold, __________-________ water from the deep ocean to the surface for plants and animals to feed on (i.e., phytoplankton) and are areas of rich biological activity. Graph the integrand, and use area to evaluate the definite integral (x+4)dx. You will use a Single Sample Z Test with n = 1, o2 = 1 and u 1. You will calculate the p-value as p-value = 2phi (-[x-1] /1)You will reject the test if p-value < 0.05 = a. Say that in actuality, 2 is drawn from an exponential distribution with mean 1. Thus the null hypothesis is false. What is the type II error rate of your test? hint: We are looking for P(1 11 2. the critical value, z*, corresponding to a 90onfidence level is 1.96 Suppose that a point (X_1, X_2, X_3) is chosen at random, that is, in accordance with the uniform p.d.f., from the following set S: S = {(x_1, x_2, x_3): 0 x_i 1 for i=1,2,3}. Determine: (a) P ((X_1 1/2) + (X_2 1/2) + (X_3 -1/2) 1/4) (b) P(X_1^2 + X_2^2 + X_3^2 1). For field day, Mrs. Douglas puts students into teams. There are 48 boys and 64 girls. Each team must have the same number of boys and the same number of girls. All students must participate. What is the greatest number of teams Mrs. Douglas can create? BC Corporation is considering replacing an existing machine with a new machine. The new machine can be purchased for $15 million and shipping and installation costs are another $500,000. The new machine will also require an initial $2 million investment in net operating working capital. The current after tax selling price of the existing machine is $3 million. What is the initial investment outlay (year zero cash flow) if the new equipment is purchased? O a. $15.5 million b. $14.5 million c. $17.5 million d. Cannot be determined from the information e. $17 million Last month when Holiday Creations, Incorporated, sold 41,000 units, total sales were $164,000, total variable expenses were $124,640, and fixed expenses were $39,200. Required: 1. What is the company's contribution margin (CM) ratio? 2. What is the estimated change in the company's net operating income if it can increase sales volume by 375 units and total sales by $1,500? (Do not round intermediate calculations.) 1. Contribution margin ratio % 2. Estimated change in net operating income PLS HELP!! I can't figure it out a nurse plans to carry out a research project on the effects of immobility on clients stress levels. of the following statements, which principle is most important when planning this project? explain the balance score card of loblow. Kit carelessly bumps into Luke, knocking him to the ground. Kit has committed the tort of negligencea. only if Luke is injured.b. only if Luke is not injured.c. under any circumstances.d. under no circumstances. As in Problem 12, flower color may be red, white, or pink, and flower shape may be personate or peloric. For the following crosses, determine the P, and F, genotypes: (a) red, peloric x white, personate F: all pink, personate (b) red, personate x white, peloric 1 Fi: all pink, personate 1/4 red, personate 1/4 red, peloric (C) pink, personate X red, peloric F1 1/4 pink, peloric 1/4 pink, personate 1/4 white, personate 1/ 4 white, peloric d) pink, personate X white, peloric F 1/4 pink, personate 1/4 pink, peloric c) What phenotypic ratios would result from crossing the F, of (a) to the F, of (b)? Hind has extensive experience and knowledge in ergonomic product design. Though she is not a manager, she is often called on by product managers to offer advice on ergonomic features for new products. It can be said that Hind has _____________ power in ergonomic product design. Referent Transformational Behavioral Expert design a compound, spur gear train for a ratio of 60:1 and diametral pitch of 10. specify pitch diameters and numbers of teeth. sketch the train to scale. Unit 1 Assignment: Ice Cream Simulation Scenario: You have an idea for an Ice Cream shop. You're ready to apply what you have learned about marketing strategy (4 P's) to launch your new business. Select the link below to play the ice cream simulation. In this simulation, you'll need to make several decisions that focus on the Four P's of the Marketing Mix. After you complete the simulation, prepare a 1-page (minimally) paper that addresses the questions below. Simulation: Ice Cream MagnateQuestions: 1. In terms of the assigned reading for this unit, describe the marketing mix strategy you applied in your simulation. 2. Describe the segmentation criteria that you could use to more accurately identify the target market in the simulation.Your paper should be a minimum of 1 full page in length in addition to a title page and references. Submit your paper to this assignment link by the end of Unit 2 as a single MS Word-formatted file. For all assignments in this course, incorporate concepts from the assigned reading to support your analysis. To avoid issues with plagiarism, use in-text citations to distinguish between your own analysis and ideas taken from your reading. To demonstrate your understanding of the material, paraphrase your reading rather than pasting quotes into your paper. See this Quoting and Paraphrasing Handbook [link] for a very clear guide on paraphrasing.