How many hours will it take for only 1.5625 mg to remain

How Many Hours Will It Take For Only 1.5625 Mg To Remain

Answers

Answer 1

Answer:

36 hours

Explanation:

Notice that you are given the actual table of how the isotope reduces , and it shows that for each period of 6 hours the isotope decays to half of the initial number.

EVery 6 hours, the reduction in number of mg of the isotope goes down in half'

100 mg, then 50 mg, then 25 mg, then 12.5 mg, then 6.25 mg, then 3.125 mg and finally (reaching 1.5625 mg

That was 6 periods of 6 hours each, which totals: 6 time 6 hours = 36 hours


Related Questions

I’ve gotten the answer as x=.478 but when plugging back in, .46/.478 ≠ .22. Help please

Answers

Answer:

15. 2.66 moles .

16. 2.09L.

Explanation:

Molarity of a solution is simply defined as the mole of solute per unit litre of the solvent. Mathematically, it is represented as:

Molarity = mole /Volume.

With the above formula, let us answer the questions given above

15. Data obtained from the question include the following:

Volume of solution = 1.4L

Molarity = 1.9M

Mole of solute =.?

Molarity = mole /Volume

1.9 = mole / 1.4

Cross multiply

Mole = 1.9 x 1.4

Mole = 2.66 moles

Therefore, the mole of the solute present in the solution is 2.66 moles.

16. Data obtained from the question include the following:

Mole of solute = 0.46 mole

Molarity = 0.22M

Volume of solvent (water) =.?

Molarity = mole /Volume

0.22 = 0.46/Volume

Cross multiply

0.22 x Volume = 0.46

Divide both side 0.22

Volume = 0.46/0.22

Volume = 2.09L

Therefore, 2.09L of water is required.

what element must combine with the metal for oxidation to take place?

Answers

lithium with oxygen
Lithium with oxygen

How much less carbon does
natural gas release than
coal?

Answers

Answer:

natural gas releases 50 to 60 percent less carbon dioxide than coal

Explanation:

Natural gas is a fossil fuel, though the global warming emissions from its combustion are much lower than those from coal or oil. Natural gas emits 50 to 60 percent less carbon dioxide (CO2) when combusted in a new, efficient natural gas power plant compared with emissions from a typical new coal plant [1].

plz help i need the answer ASAP If 6.20 cm3 of a 6.75 M (M = mol/dm3) solution are diluted to 85.6 cm3 with water, what is the concentration of the final solution?

A. 6.75 (6.20/85.6)

B. 6.75 (8.56/6.20)

C. 6.75 (6200/85.6)

D. 6.75 (85.6/6200)

a) A
b) B
c) C
d) D

Answers

Answer:

Option A. 6.75 (6.20/85.6)

Explanation:

The following data were obtained from the question:

Initial volume (V1) = 6.2cm³

Initial concentration (C1) = 6.75M

Final volume (V2) = 85.6cm³

Final concentration (C2) =.?

The final concentration can be obtained by using the dilution formula as show below:

C1V1 = C2V2

6.75 x 6.2 = C2 x 85.6

Divide both side by 85.6

C2 = (6.75 x 6.2) /85.6

C2 = 6.75 (6.2 / 85.6).

The Sunhawk, a car built by students at SUNY New Paltz, prompted Forbes Magazine to ask “Is The $250,000 Sunhawk theSolar Car of the Future?” These cars show the most advanced solar technology and vehicle construction.There are trade-offs involved in the use of solar powered cars. What one advantage of owning a solar car?

Answers

Answer:

The potential of energy availability at all locations where there is Sunlight

Explanation:

One advantage in owning a solar car is the potential of energy availability

The solar car source of energy is from the Sun which is readily available during the daytime where there is a clear sky. The energy from sunlight  is converted to to electrical energy by the photovoltaic cells on solar panels installed on the roof area of solar powered cars

The energy from the Sunlight is a form of renewable energy and therefore allows for better stability as well as the possibility of reuse of the energy

There are no emissions from the use of solar cars including noise, making the solar car very environmentally friendly.

10 Points
Why was Dalton's theory of the atom incorrect?
A. Dalton theorized that atoms were too small to see but they are not.
B. Dalton' theory was correct.
C. Dalton theorized that had negative charges spread throughout them but they are
actually in electron shells.
D. Dalton theorized that atoms were indivisible but they are actually made of smaller
parts.
Reset Selection

Answers

Answer:

D

Explanation:

The indivisibility of an atom was proved wrong an atom can be further subdivided into protons, neutrons and electrons. However an atom is the smallest particle that takes part in chemical reactions......

hope i helped

pls mark brainliest,,,,,thanks

John Dalton was the chemist that gave the theory of atoms. His atomic model was incorrect as he said that the atoms cannot be further divided, but they are made of smaller particles. Thus, option D is correct.

What is Dalton's atomic model?

Dalton's atomic model stated that all matter is composed of atoms that are made of elements with identical properties and mass. He further stated the formation of the compounds from the molecules.

In the theory, he stated that atoms cannot be divided further and are indivisible. This was proven wrong as the atoms are composed of sub-atomic particles namely, electrons, neutrons, and protons.

Therefore, the statement that atoms are indivisible in Dalton's atomic theory is incorrect.

Learn more about Dalton's theory here:

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What is the energy of an electromagnetic wave with a frequency of 8 x 10^12
Hz?
A. 4.2 x 10-22 J
B. 2.4 x 1021 J
C. 1.59 x 10-12
D. 5.3 x 10-21 J

Answers

Answer:

Energy, [tex]E=5.3\times 10^{-21}\ J[/tex]

Explanation:

It is required to find the energy of an electromagnetic wave with a frequency of [tex]8\times 10^{12}\ Hz[/tex]. The energy of a wave in terms of its frequency is given by :

[tex]E=h\nu[/tex]

[tex]\nu[/tex] = frequency of em wave

[tex]E=6.63\times 10^{-34}\times 8\times 10^{12}\\\\E=5.3\times 10^{-21}\ J[/tex]

So, the energy of an electromagnetic wave is [tex]5.3\times 10^{-21}\ J[/tex]

Answer:

D. [tex]5.3 * 10^-21 J[/tex]

Based on the Lewis/electron dot representation
of the two atoms, predict the ratio of metal
cationic (+) atom to nonmetal anionic (-) atom in the compound

Answers

Answer:

A. 1:3

Explanation:

If we look at the ions shown in the image attached to the question, we will notice that we have aluminum (Al^3+), a trivalent ion combining with the iodide ion (I^-).

Aluminum can easily give out its three outermost electrons to three atoms of iodine. If aluminum gives out its three electrons, it achieves the stable octet structure. Iodine atoms have seven electrons in their outermost shell. They only need one more electrons to complete their octet. This one electron can be gotten by the combination of three iodine atoms with one atom of aluminum. One electron each is transferred from the aluminum atom to each iodine atom to form AlI3 with a ratio of 1:3.

Lewis dot structure is a diagrammatic representation of valence electrons in an atom of a molecule.

The ratio of the cations to anions in the given compound is 1:3.

In the given figure, Aluminum has 3 electrons, which can be donated to iodine. Aluminum has atomic number 13, this means that if the element donates three electrons then it will attain a stable electronic configuration.

In the Iodine atom, each iodine needs only one electron to complete its octet. Thus, three atoms of iodine will be required to gain electrons from aluminum.

Thus, the ratio cation to the anion is 1:3.

To know more about lewis dot structure, refer to the following link:

https://brainly.com/question/4144781


Balance the combustion reaction between propane and oxygen.
C ₃ H ₈+ O ₂→ CO ₂ + H ₂ O

Answers

Answer:

The answer is C3H8 + 5O2 3CO2 + 4H2O .

Answer:

[tex]\huge \boxed{\mathrm{C_3 H_8 +5O_2 \Rightarrow 3CO_2 +4 H_2 O}}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Explanation:

[tex]\sf C_3 H_8 +O_2 \Rightarrow CO_2 + H_2 O[/tex]

Balancing Carbon atoms on the right side,

[tex]\sf C_3 H_8 +O_2 \Rightarrow 3CO_2 + H_2 O[/tex]

Balancing Hydrogen atoms on the right side,

[tex]\sf C_3 H_8 +O_2 \Rightarrow 3CO_2 +4 H_2 O[/tex]

Balancing Oxygen atoms on the left side,

[tex]\sf C_3 H_8 +5O_2 \Rightarrow 3CO_2 +4 H_2 O[/tex]

[tex]\rule[225]{225}{2}[/tex]

Ava’s best friend has an indoor cat. Ava notices that she sneezes every time that she visits her friend. Ava suspects that she is allergic to cats but is unsure. What is the best thing for Ava to do next?

Answers

the best thing for her to do next is go get an allergy test from the doctors to see if she’s allergic.

C) Test her suspicion by going to see an allergist to diagnose the allergy.

It's right

Which shows the correct order of steps in the formation of coal?
Layers of dead plants pile up - plant matter is buried by rocks and dirt - dead plants fall in swamp - plant matter is
compressed and is exposed to heat - coal forms
Plant matter is compressed and is exposed to heat - dead plants fall in swamp - layers of dead plants pile up - plant
matter is buried by rocks and dirt - coal forms
Plant matter is buried by rocks and dirt - dead plants fall in swamp - layers of dead plants pile up - plant matter is
compressed and is exposed to heat - coal forms
Dead plants fall in swamp - layers of dead plants pile up - plant matter is buried by rocks and dirt - plant matter is
compressed and is exposed to heat - coal forms

Answers

Answer:

it is Dead plants fall in swamp, Layers of dead plants pile up, Plant matter is buried by rocks and dirt, Plant matter is compressed and is exposed to heat, and Coal forms.

if iam right please make this into brainlest

Molybdenum metal requires a photon with a minimum frequency of 1.09x1015s-1before it can emit an electron via the photoelectric effect.

a) What is the minimum energy needed to eject an electron?

b)What wavelength of radiation (in nm) will provide a photon of this energy?

c)How many electrons can be freed by a burst of radiation whose total energy is 1.00 μJ, assuming one photon causes one electron to be freed? (μ= micro = 10-6)

d) If molybdenum is irradiated with light of 122nm, what is the maximum kinetic energy of the emitted electrons?

Answers

Answer:

a) 7.22 × 10⁻¹⁹ J; b) 275 nm; c) 1.38× 10¹² electrons; d) 9.1 × 10⁻¹⁹ J

Explanation:

a) Minimum energy to eject photon

E = hf = 6.626× 10⁻³⁴ J·s × 1.09 × 10¹⁵ s⁻¹ = 7.22 × 10⁻¹⁹ J

b) Wavelength required

fλ = c

[tex]\lambda = \dfrac{c}{f } = \dfrac{2.998 \times 10^{8}\text{ m/s}}{1.09 \times 10^{15}\text{/s}} = 2.75 \times 10^{-7} \text{ m} = \textbf{275 nm}[/tex]

c) Electrons required

[tex]\text{No. of electrons} = 1.00 \times 10^{-6}\text{ J} \times \dfrac{\text{1 electron}}{7.22 \times 10^{-19}\text{ J}} = 1.38 \times 10^{12}\text{ electrons}[/tex]

d) Kinetic energy of electrons

a) Energy of photon

[tex]E = hf = \dfrac{\text{hc}}{\lambda} = \dfrac{6.626 \times 10^{-34} \text{ J$\cdot$ s}\times 2.998 \times 10^{8} \text{ m/s}}{122 \times 10^{-9}\text{ m}}= 1.63 \times 10^{-18} \text{ J}[/tex]

b) Maximum kinetic energy

The equation for the photoelectric effect is

hf = φ + KE, where  

φ = the work function of the metal — the minimum energy needed to eject an electron

KE = hf - φ = 1.63× 10⁻¹⁸ J - 7.22× 10⁻¹⁹ J = 9.1 × 10⁻¹⁹ J  

a. The energy of molybdenum to eject electron has been [tex]\rm \bold{7.22\;\times\;10^{-19}}\;J[/tex].

b. The wavelength of the radiation has been 275 nm.

c. The number of electrons present in [tex]\rm 1\;\mu J[/tex] energy has been [tex]\rm \bold{1.38\;\times\;10^1^2}[/tex].

d. The kinetic energy of the emitted electrons as been [tex]\rm \bold{9.1\;\times\;10^-^1^9\;J}[/tex].

The metal emits the energy when it returns from the excited state to ground state.

a. The energy (E) to eject electron has been given by:

[tex]E=h\nu[/tex]

Where, the value of constant, [tex]h=6.626\;\times\;10^{-34}\;\rm J.s[/tex]

The value of frequency has been given, [tex]\nu=\rm 1.09\;\times\;10^{15}\;s^{-1}[/tex]

Substituting the values for energy:

[tex]E=6.626\;\times\;10^{-34}\;\times\;1.09\;\times\;10^{15} \rm J\\\textit E=7.22\;\times\;10^{-19}\;J[/tex]

The energy of molybdenum to eject electron has been [tex]\rm \bold{7.22\;\times\;10^{-19}}\;J[/tex].

b. The wavelength ([tex]\lambda[/tex]) of the radiation has been given by:

[tex]\lambda=\dfrac{c}{\nu}[/tex]

Where, the speed of light, [tex]c=3\;\times\;\rm m/s[/tex]

The frequency has been given as, [tex]\nu=1.09\;\times\;10^{15}\;\rm s^-^1[/tex].

Substituting the values for wavelength:

[tex]\lambda=\dfrac{3\;\times\;10^8}{1.09\;\times\;10^{15}}\;\rm m\\ \lambda=2.75\;\times\;10^-^7\;m\\\lambda=275\;nm[/tex]

The wavelength of the radiation has been 275 nm.

c. The electrons ([tex]e^-[/tex]) burst out can be given as:

[tex]e^-=\dfrac{E}{E'}[/tex]

Where, the energy of radiations, [tex]E=1\;\times\;10^{-6}\;\rm J[/tex]

The energy of each electron has been calculated as, [tex]E'=7.22\;\times\;10^{-19}\;\rm J[/tex]

Substituting the values for number of electrons:

[tex]e^-=\dfrac{1\;\times\;10^-^6}{7.22\;\times\;10^-^1^9} \\e^-=1.38\;\times\;10^1^2[/tex]

The number of electrons present in [tex]\rm 1\;\mu J[/tex] energy has been [tex]\rm \bold{1.38\;\times\;10^1^2}[/tex].

d. The maximum kinetic energy (K.E.) of the radiation has been given as:

[tex]K.E.=\dfrac{hc}{\lambda} -E^'[/tex]

Where, the value of constant, [tex]h=6.626\;\times\;10^{-34}\;\rm J.s[/tex]

The speed of light, [tex]c=3\;\times\;\rm m/s[/tex]

The wavelength of the radiation, [tex]\lambda=122\;\times\;10^-^9\;\rm m[/tex]

Energy of each electron, [tex]E'=7.22\;\times\;10^{-19}\;\rm J[/tex]

Substituting the values, for kinetic energy:

[tex]K.E.=\dfrac{6.626\;\times\;10^{-34}\;\times\;3.0\;\times\;10^8}{122\;\times\;10^-^9}\;-\;7.22\;\times\;10^-^1^9\;\rm J \\\textit {K.E.}=9.1\;\times\;10^{-19}\;J[/tex]

The kinetic energy of the emitted electrons as been [tex]\rm \bold{9.1\;\times\;10^-^1^9\;J}[/tex].

For more information about photoelectric effect, refer to the link:

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Which type of reaction is described by the following equation Na2O (s) + 2CO2 (g) + H2) (g) Produces 2 NaHCO3 (s)

Answers

Answer:

If the reaction is going from left to right it would be synthesis, if going right to left it would be decomposition.

Explanation:

Na2O (s) + 2CO2 (g) + H2O (g) = 2 NaHCO3 (s)

Left Side

Na = 2

O = 6

C = 2

H = 2

Right Side

Na = 2

O = 6

C = 2

H = 2

Ok so is balanced already, though initial equation in question had an error in regards to the left hand side the ) should have been an O.

Hmm

Na2O (s) + 2CO2 (g) + H2O (g) = 2 NaHCO3 (s)

If it was going from right to left would be decomposition

But going from left to right it would be synthesis

How many moles of zinch oxide can be produced from 275 of zinc?

Answers

Answer:

[tex]\large \boxed{\text{4.21 mol}}[/tex]

Explanation:

We must do the conversions :

mass of Zn ⟶ moles of Zn ⟶ moles of ZnO

We will need a chemical equation with masses and molar masses, so, let's gather all the information in one place.

Mᵣ:     65.38

              Zn + … ⟶ ZnO  + …

m/g:   275

(a) Moles of Zn

[tex]\text{Moles of Zn} = \text{275 g Zn}\times \dfrac{\text{1 mol Zn}}{\text{65.38 g Zn}} = \text{4.206 mol Zn}[/tex]

(b) Moles of ZnO

The molar ratio is 1 mol ZnO:1 mol Zn

[tex]\text{Moles of ZnO} =\text{4.206 mol Zn} \times \dfrac{\text{1 mol ZnO}}{\text{1 mol Zn}} = \text{4.21 mol ZnO}\\\\\text{The reaction produces $\large \boxed{\textbf{4.21 mol}}$ of ZnO}[/tex]

State a condition required for a substitution reaction to occur

Answers

Explanation:

substitution reaction (also known as single displacement reaction or single substitution reaction) in a chemical reaction during which one functional group in chemical compound is replaced by an other functional group. a good example of a substitution reaction is halogenation .

Calculate Rations. A transformer has ten turns of wire on the input side and 50 turns of wire on the output side. if the input voltage is 120 V, what will the output voltage be?

Answers

Answer:

Output voltage = 600 V

Explanation:

Using the transformer equation which simply states that the ratio of the secondary to primary voltages in a transformer equals the ratio of the number of loops in their coils.

Number of input turns/Number of output turns = Voltage of input/voltage of output

10/50 = 120V/voltage of output

Voltage of output = 120 V/0.2

Voltage of output = 600 V

1. Identify whether each of the elements is a metal, non-metal, or metalloid:
Ruthenium: Neon:
Germanium: Neptunium:
Iodine: Strontium:
Cesium: Europium:

Answers

Answer:

neon - non metal

Explanation:

Answer:

Ruthenium → metalloidNeon → non-metalGermanium → metalloidNeptunium → metalIodine → non-metalStrontium → metalCaesium → metalEuropium → metal

The type of radioactive decay in which the mass number and atomic number remain unchanged is (2 points) Select one: a. beta radiation. b. alpha radiation. c. positron radiation. d. gamma radiation.

Answers

Answer:

d.

Explanation:

a. beta radiation - electrons that have negative charge, and when they leave a nucleus , the charge or atomic number of the nucleus will change.

b. Alpha radiation - nuclei of He, atomic number and mass number will be changed.

c. positron radiation - positrons are similar to electrons but have positive charge, so , the charge or atomic number of the nucleus will change.

d. gamma radiation is electromagnetic waves, does not have charge and mass.

Answer:

the answer is d. gamma radiation

Explanation:

pleaseeeeee yelp!!! 100 points

Question 10 Multiple Choice Worth 3 points)
(05.03 MC)
A glass of juice at 20°C was kept in the open. After 30 minutes, the temperature of the juice remained the same. Which statement is correct?
The temperature of the surrounding air was greater than 20 °C.
The temperature of the surrounding air was less than 20 °C.
The temperature of the juice was equal to the temperature of the surrounding air.
The temperature of the juice was less than the final temperature of the surrounding air.

Answers

Answer:

The answer would be B the temperature of the juice was the temperature of the surrounding air...trust me lolllllllllllllllll

How do the HOX genes in the paddlefish match the HOX genes in human

Answers

Answer:

Hox are transcription factors that are evolutionarily conserved across bilaterians and, therefore, they share sequence homology between paddlefish and humans .

Explanation:

The Hox genes represent a family of homeodomain transcription factors that play roles in the development of the axial and appendicular skeleton, being therefore critical during embryonic development. In this case, the human Hox genes are homologous to homeobox genes found in the paddlefish. These genes have a DNA-binding domain of 60 amino acids which is evolutionarily conserved in bilaterian species including paddlefish and human species.

How does a salt bridge improve a battery​

Answers

The role of the salt bridge is to assure the neutrality of both compartments.

The salt is kinda like a current for the battery

A bobsled has a momentum of 4000 0 kg* m/s to the south. Friction on the track reduces its momentum to 500 kg* m/s to the south. What impulse is applied to the bobsled by the friction?

A. 6500 kg* m/s north

OB. 1500 kg* m/s south O

C. 6500 kg* m/s south

O 1500 kg* m/s north

Answers

The correct answer is c

Answer: 1500 kg•m/s north

Explanation:

A PE X

what happens to the zebra molecules once they are eaten by the cheetah?

Answers

Answer:

All living organisms need food for their body metabolism. Food helps in the provision of basic nutrients for the body’s survival and growth.

When the Cheetah eats the Zebra, enzymes acts on the Zebra molecules and converts it into smaller molecules.

The smaller molecules broken down are then readily absorbed and used by the cells of the Cheetah.

) carbon + oxygen = _____________
E) calcium carbonate = ______________ + _________________
F) carbon + hydrogen = ____________
G) carbon + hydrogen + oxygen = ______________
H) water = ___________ + ___________
I) Iron + sulphur = _______________
J) magnesium + oxygen = ________________
M) magnesium oxide + water = ___________________
O) carbon monoxide + oxygen = ______________

Answers

Answer:

d)carbon(iv)oxide/carbon(ii)oxide

e)Calcium,carbon,oxygen

f)carnonhydride

g)Carbonhydrate

h)hydrogen+oxygen

I)Iron sulphide

j)Magnesiumoxide

m)magnesium hydroxide+hydrogen gas

d)carbon dioxide

hey so for science class im making a brochure for a vacation to mars.
can someone give me a good name and theme for a hotel that would be on mars?

Answers

Answer:

The name of the hotel can be the Red dust hotel. And the theme could red and rocky

Explanation:


Balance the combustion reaction between octane and oxygen.

2C ₈ H ₁₈ + O ₂ → CO ₂ + H ₂ O

Answers

Answer:

The answer is 2C8H18 + 25O2 16CO2 + 18H2O .

(Correct me if I am wrong)

What is it called when Earth’s magnetic poles change places?
a.
a strike-slip fault
c.
sea-floor spreading
b.
magnetic reversal
d.
continental drift

Answers

Answer:

Its b. Magnetic reversal

Explanation:

Answer:

B

Explanation:

i just did it

Why arent the jaguars and sloths growing and thriving?

Answers

Answer:

Need more details to answer correctly.

Do you mean in general why are populations decreasing?

Well for jaguars this is due to poaching and deforestation.

For Sloths this is due to deforestation.

In an ecosystem, the jaguars and sloths  are not growing and thriving due to deforestation and poaching.

What is an ecosystem?

Ecosystem is defined as a system which consists of all living organisms and the physical components with which the living beings interact. The abiotic and biotic components are linked to each other through nutrient cycles and flow of energy.

Energy enters the system through the process of photosynthesis .Animals play an important role in transfer of energy as they feed on each other.As a result of this transfer of matter and energy takes place through the system .Living organisms also influence the quantity of biomass present.By decomposition of dead plants and animals by microbes nutrients are released back in to the soil.

Learn more about ecosystem,here:

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Use the balanced equation below to answer the question that follows
6 CO2 + 6H2O - CH206 +60,
How many moles of water are needed to produce 4 moles of CH420?-
a.4
b. 6
c. 10
d. 24

Answers

The answer will be C

1. What is the wavelength of a photon of light with a frequency of 6.10 x 10^15 Hz?

Answers

Answer:

0.000000000000005 mm

Explanation:

Other Questions
2. What is the main responsibility of the House Ways and Means Committee?A taking care of the needs of the armed servicesB deciding which committees will consider certain billsOC considering relationships with foreign countriesOD deciding how to raise money for the federal government The total energy need during pregnancy is normally distributed, with a mean of 2600 kcal/day and a standard deviation of 50 kcal/day. Include your Normal curve for all parts! a) [4 pts] If one pregnancy is randomly selected, find the probability that the total energy need is more than 2650 kcal/day. b) [4 pts] The middle 30% of total energy need during pregnancy are between what values? c) [4 pts] What is the probability that a random sample of 20 pregnant women has a mean energy need of more than 2625 kcal/day? Which option lists the correct steps to apply a style?A. Select the text, click the Home tab, and in the Styles Gallery, click to select a style to apply.B. Select the text, click the Insert tab, and in the Formatting Gallery, click to select a style to apply.C. Select the text, click the Home tab, and in the Font group, select a font, font size, and type to apply.D. All of the options listed above are correct. Groups of 18th century skilled artisans formed secret societies for two basic reasons. Which of the following is one of those reasons? 1. to equalize their relationship with their employers 2. to distinguish themselves from carpenters and shoemakers 3. to gain control of the German government 4. to avoid having to set minimal standards for their crafts Find the exact solution of the equation 7^x=8 g Dybala Corporation produces and sells a single product. Data concerning that product appear below: Per Unit Percent of Sales Selling price $ 110 100 % Variable expenses 66 60 % Contribution margin 44 40 % The company is currently selling 5,120 units per month. Fixed expenses are $210,000 per month. The marketing manager believes that a $6,600 increase in the monthly advertising budget would result in a 230 unit increase in monthly sales. What should be the overall effect on the company's monthly net operating income of this change 5/2 = 11/xWhat is x what is the answer to The Supreme Court limits the powers of Congress by Find the area of the triangle The perimeter of the rectangle is below 76 units. Find the length of side AD. AB on rectangle 3y + 3 CB 2y Plz help...Im offering 10 pts Issues raised in the sub story of Ikemefuna in things fall apart The local swim team is considering offering a new semi-private class aimed at entry-level swimmers, but needs at minimum number of swimmers to sign up in order to be cost effective. Last year's data showed that during 8 swim sessions the average number of entry-level swimmers attending was 15. Suppose the instructor wants to conduct a hypothesis test. The alternative hypothesis for this hypothesis test is: "the population mean is less than 15". The sample size is 8, LaTeX: \sigma is known, and alpha =.05, the critical value of z is _______. Group of answer choices Genzyme, the maker of Cerdelga, a drug that treats a genetic illness called Gaucher's disease that affects 10,000 people worldwide, has been criticized for charging up to $300,000 for a year's worth of Cerdelga. This is an example of the manufacturer adhering to its A law that is ratified has been approved True or false Lou Barlow, a divisional manager for Sage Company, has an opportunity to manufacture and sell one of two new products for a five-year period. His annual pay raises are determined by his divisions return on investment (ROI), which has exceeded 23% each of the last three years. He has computed the cost and revenue estimates for each product as follows: Product A Product B Initial investment: Cost of equipment (zero salvage value) $290,000 $490,000 Annual revenues and costs: Sales revenues $340,000 $440,000 Variable expenses $154,000 $206,000 Depreciation expense $58,000 $98,000 Fixed out-of-pocket operating costs $79,000 $59,000The company's discount rate is 16%.Required:1. Calculate the payback period for each product. 2. Calculate the net present value for each product.3. Calculate the internal rate of return for each product.4. Calculate the project profitability index for each product.5. Calculate the simple rate of return for each product. 6A. For each measure, identify whether Product A or Product B is preferred. 6B. Based on the simple rate of return, Lou Barlow would likely: 1. Accept Product A 2. Accept Product B 3. Reject both products If today is Thursday, May 22, choose the correct response to this question. Cul es la fecha de hoy? The Riteway Ad Agency provides cars for its sales staff. In the past, the company has always purchased its cars from a dealer and then sold the cars after three years of use. The companys present fleet of cars is three years old and will be sold very shortly. To provide a replacement fleet, the company is considering two alternatives: Purchase alternative: The company can purchase the cars, as in the past, and sell the cars after three years of use. Ten cars will be needed, which can be purchased at a discounted price of $27,000 each. If this alternative is accepted, the following costs will be incurred on the fleet as a whole: Annual cost of servicing, taxes, and licensing $ 4,300 Repairs, first year $ 2,200 Repairs, second year $ 4,700 Repairs, third year $ 6,700At the end of three years, the fleet could be sold for one-half of the original purchase price.Lease alternative: The company can lease the cars under a three-year lease contract. The lease cost would be $70,000 per year (the first payment due at the end of Year 1). As part of this lease cost, the owner would provide all servicing and repairs, license the cars, and pay all the taxes. Riteway would be required to make a $15,000 security deposit at the beginning of the lease period, which would be refunded when the cars were returned to the owner at the end of the lease contract.Riteway Ad Agencys required rate of return is 20%.Required:1. Use the total-cost approach to determine the present value of the cash flows associated with each alternative. (Any cash outflows should be indicated by a minus sign. Round discount factor(s) to 3 decimal places.) Prince Electronics, a manufacturer of consumer electronic goods, has five distribution centers in different regions of the country. For one of its products, a highspeed modem priced at $330 per unit, the average weekly demand at each distribution center is 70 units. Average shipment size to each distribution center is 350 units, and average lead time for delivery is 2 weeks. Each distribution center carries 2 weeks' supply as safety stock but holds no anticipatory inventory.a. On average, how many dollars of pipeline inventory will be in transit to each distribution center?b. How much total inventory (cycle, safety, and pipeline) does Prince hold for all five distribution centers? M is the midpoint of st. Sm= 3x+16 and MT = 6x+4. Find the length of SM.