In the problems below, f(x) = log2x and g(x) = log10x. How are the graphs of f and g similar? Check all that apply. Both have a y-intercept of 1. Both increase from left to right. Both have an asymptote of x = 0. Both have a domain of all real numbers.

Answers

Answer 1

Answer:

The correct answers are: Both increase from left to right.

Both have an asymptote of x = 0.

Explanation:

Edge 2021.

Answer 2

The graphs of the functions f and g are similar in that;

Both graphs increase from left to right, (positive slope)

Both have an asymptote of x= 0.

Graph of logarithmic functions

By convention, the graph of logarithmic functions which takes the form y = logx usually has an horizontally asymptote of x= 0.

Additionally, the graph of functions f and g have positive slopes. This is so because, the values of y increases with increasing value of x. O. this note, both graphs increase from left to right.

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Related Questions

What is the [OH-] of a solution with a pH of 1.4?

Answers

Answer:

If a solution has pH=8 , then its pOH is 14−8=6 and the corresponding concentration of hydroxyl OH− ions is 10−6 mol per litre.

Explanation:

1. How many moles of hydrogen are needed to completely react with two moles of nitrogen?
_N2 + _H2 -->_NH3
Please hurry it is for a big assignment

Answers

N2 + 3H2  -->  2NH3

Answer: 6 moles of hydrogen are needed to react with two moles of nitrogen.

Explanation:

What happens if more product is added to a system at equalibrium

Answers

Answer:

There won't be any equilibrium.

Explanation:

Because when we add a product to a system then the equilibrium will not be the same since the weight will be more on one system which will make it unstable.

In terms of energy, when atoms chemically bond to form a stable compound:_____.
A. Energy is released.
B. Energy can either be released or consumed depending upon the bond formed.
C. Energy is transferred from one atom to another.
D. Energy is consumed.

Answers

Answer:

  A. Energy is released

Explanation:

Energy is only released when chemical bonds are formed.

21. A piece of metal with a a mass of 15.2 g is heated from 17°C to 42°C. In the process it absorbs 1362 J of
energy as heat. What is the specific heat of the metal?

Answers

Answer:

3584.21 J/kg.K

Explanation:

Applying

Q = cm(t₂-t₁)........... equation 1

Where Q = Quantity of heat absorb, c = specific heat capacity of the metal, m = mass of the metal, t₁ = intial temperature, t₂ = Final temperature.

make c the subject of the equation

c = Q/(m(t₂-t₁)........... Equation 2

From the question,

Given: Q = 1362 J, m = 15.2 g = 0.0152 kg, t₁ = 17°C, t₂ = 42°C

Substitute these values into equation 2

c = 1362/0.0152(42-17)

c = 1362/0.38

c = 3584.21 J/kg.K

I need the answer fast pls it’s scince

Answers

I think the answer is C , more dense

Answer:

more dense

Explanation:

cold air particles are moving slower, because they have less energy.

The total number of sodium atoms in 46.0 grams of sodium
is

Answers

The answer is 2.0, and it is because

One kilogram of water at 100 0C is cooled reversibly to 15 0C. Compute the change in entropy. Specific heat of water is 4190 J/Kg.K.

Answers

Answer:

The change in entropy is -1083.112 joules per kilogram-Kelvin.

Explanation:

If the water is cooled reversibly with no phase changes, then there is no entropy generation during the entire process. By the Second Law of Thermodynamics, we represent the change of entropy ([tex]s_{2} - s_{1}[/tex]), in joules per gram-Kelvin, by the following model:

[tex]s_{2} - s_{1} = \int\limits^{T_{2}}_{T_{1}} {\frac{dQ}{T} }[/tex]

[tex]s_{2} - s_{1} = m\cdot c_{w} \cdot \int\limits^{T_{2}}_{T_{1}} {\frac{dT}{T} }[/tex]

[tex]s_{2} - s_{1} = m\cdot c_{w} \cdot \ln \frac{T_{2}}{T_{1}}[/tex] (1)

Where:

[tex]m[/tex] - Mass, in kilograms.

[tex]c_{w}[/tex] - Specific heat of water, in joules per kilogram-Kelvin.

[tex]T_{1}[/tex], [tex]T_{2}[/tex] - Initial and final temperatures of water, in Kelvin.

If we know that [tex]m = 1\,kg[/tex], [tex]c_{w} = 4190\,\frac{J}{kg\cdot K}[/tex], [tex]T_{1} = 373.15\,K[/tex] and [tex]T_{2} = 288.15\,K[/tex], then the change in entropy for the entire process is:

[tex]s_{2} - s_{1} = (1\,kg) \cdot \left(4190\,\frac{J}{kg\cdot K} \right)\cdot \ln \frac{288.15\,K}{373.15\,K}[/tex]

[tex]s_{2} - s_{1} = -1083.112\,\frac{J}{kg\cdot K}[/tex]

The change in entropy is -1083.112 joules per kilogram-Kelvin.

Answer:

The change in entropy = [tex]-1083.534 J/k[/tex]

Explanation:

Change in entropy,

[tex]\delta S = mCp * In[\frac{T2}{T1}][/tex]

The initial temperature,

[tex]T1 = 100^oC\\\\T1 = 100+273\\\\T1 = 373k[/tex]

Final value of temperature,

[tex]T2 = 15^oC\\\\T2 = 15+273\\\\T2 = 288k[/tex]

where,

[tex]m = 1kg\\\\Cp = 4190 J/kg.k[/tex]

Substitute into [tex]\delta S[/tex]

[tex]\delta S = mCp * In[\frac{T2}{T1}]\\\\\delta S = 1 * 4190 * In[\frac{288}{373}]\\\\\delta S = 4190 * In[0.7721]\\\\\delta S = 4190 * [-0.2586]\\\\\delta S = -1083.534 J/k[/tex]

The negative sign exists because the change in entropy will be decreasing due to cooling.

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Water potential is the potential energy for water to move from one area to another. Water
always moves from a high water potential area to a lower water potential area. According
to the water potential formula, which factors affect the water potential?
a) Pressure and the amount of solute
b) Volume and temperature
c) Surface area and depth
d) Speed and concentration

Answers

Answer:

A

Explanation:

The water potential depends upon the pressure and amount of solute according to the water potential formula.

The following points can be considered:

The water potential formula defines as the summation of the solute potential, pressure component, gravimetric component, potential due to humidity, potential due to matrix effects, and the reference correction. The water potential does not depend on the volume and temperature of the system. The water potential does not depend on the surface area and depth of the system. The water potential does not depend on the speed and concentration of the system.

Therefore, the correct answer is a) pressure and the amount of solute.

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A flask contains 85.5 grams C12H2011 (sucrose) in 1.00 L of solution. What is the molarit
Your answer.
3.8 M
25 M
10M
1.2M

Answers

Answer:

0.25 M

Explanation:

First we convert 85.5 grams of sucrose into moles, using its molar mass:

Molar Mass of C₁₂H₂₂O₁₁ = (Molar Mass of C)*12 + (Molar Mass of H)*22 + (Molar Mass of O)*11Molar Mass of C₁₂H₂₂O₁₁ = 342.3 g/mol85.5 g ÷ 342.3 g/mol = 0.25 mol

Then we divide the number of moles by the number of liters to calculate the molarity:

0.25 mol / 1.00 L = 0.25 M

PLEASE!! HELP!!


A 25.0 L balloon at 20ºC is placed in a hot water bath at 90ºC. After 15 minutes, the volume of the balloon stops expanding. What is the new volume of the balloon?

Answers

Answer:

After 15 minutes,the volume of the balloon stops expanding

As the temperature increases from 0°C to 25°C the amount of NH3 that can be dissolved in 100 grams of water.

A) decreases by 10 grams
B) decreases by 40 grams
C) increases by 10 grams
D) increases by 40 grams​

Answers

Answer:

decreases by 10 gram

Explanation:

a compound decomposes by a first-order process. if 17.0% of the compound decomposes in 60.0 minutes, the half-life of the compound is

Answers

Answer:

the half-life of the compound is 223 minutes

Explanation:

Given the data in the question;

compound decomposes by a first-order process,

17% of compound decomposes in 60 minutes,

the half-life of the compound = ?

Since its a first order reaction, we use the expression;

k = 1/t ln( Co/Cf )

given that; t = 30 minutes, Cf = 1 - 17% of Co = 1 - 0.17 of Co = 0.83Co

we substitute

k = ( 1 / 60 min ) ln( Co / 0.83Co )

k =  ( 1 / 60 min ) ln( 1 / 0.83 )

k = 0.016667 × 0.186329578

k = 0.003105555

so get the half life;

[tex]t_{1/2[/tex] = 0.693 / k

we substitute

[tex]t_{1/2[/tex] = 0.693 / 0.003105555

[tex]t_{1/2[/tex] = 223.14 ≈ 223 minutes

Therefore, the half-life of the compound is 223 minutes

Two iron-clad characteristics of matter
are that it has mass and also exhibits
which of the following?
A. It flows from hot to cold.
B. It can do work,
C. It has volume (takes up space).
D. It is a solid.

Answers

Answer:

it has volume( takes up space).

Explanation:

The characteristics of matter are that it has mass and also exhibits volume (takes up space).Hence Option (C) is Correct.

What is Matter ?

A physical substance in general, that which occupies space and possesses rest mass, especially as distinct from energy.

Matter is important because it makes up everything around us and matter can not be created or destroyed but instead, they just transformed into a different form.

Any characteristic that can be measured, such as an object's density, colour, mass, volume, length, malleability, melting point, hardness, odour, temperature, and more, are considered properties of matter.

Therefore, The characteristics of matter are that it has mass and also exhibits volume (takes up space).Hence Option (C) is Correct.

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What is the mass in grams of 5.50 moles of Copper, Cu?

Answers

Answer:

349.503 g

https://www.convertunits.com/from/moles+Copper/to/grams

here is a link, you can convert moles of copper to grams here

The answer is 5.50 moles of Cu (Copper) has 349.503 grams mass .

What is a mole ?

A mole is defined as 6.02214076 × 10²³ atoms, molecules, ions, or other chemical units.

and the molar mass of a substance is defined as the mass of 1 mole of that substance, expressed in grams per mole.

It is equal to the mass of 6.022 × 10 23 atoms, molecules, or formula units of that substance.

1 mole of Cu has 63.546 grams of Cu

So 5.50 moles will have 5.50 * 63.546 grams

=349.503 grams

Therefore 5.50 moles of Cu (Copper) has 349.503 grams mass .

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A 10.00 mL sample of a solution containing formic acid (a weak acid) was placed in a 25 mL volumetric flask and diluted to the mark with water. A 10.00 mL sample of the diluted formic acid solution was then titrated with 0.1322 M sodium hydroxide. The titration required 15.80 mL of sodium hydroxide to reach the equivalence point. Calculate the molarity and the percentage (by mass) formic acid in the original solution. The density of the formic acid solution was found to be 1.02 g/mL.

Answers

Answer:

Molarity: 0.522M

Percentage by mass: 2.36 (w/w) %

Explanation:

Formic acid, HCOOH reacts with NaOH as follows:

HCOOH + NaOH → NaCOOH + H₂O

To solve this question we must find the moles of NaOH added = Moles formic acid. Taken into account the dilution that was made we can find the moles -And molarity of formic acid and its percentage by mass as follows:

Moles NaOH = Moles HCOOH:

0.01580L * (0.1322mol / L) =0.002089 moles HCOOH

Moles in the original solution:

0.002089 moles HCOOH * (25mL / 10mL) = 0.005222 moles HCOOH

Molarity of the solution:

0.005222 moles HCOOH / 0.01000L =

0.522M

Mass HCOOH in 1L -Molar mass: 46.03g/mol-

0.522moles * (46.03g / mol) = 24.04g HCOOH

Mass solution:

1L = 1000mL * (1.02g / mL) = 1020g solution

Mass percent:

24.04g HCOOH / 1020g solution * 100

2.36 (w/w) %

What is the percent yield when 1.72 g of H2O2 decomposes and produces 375 mL of O2 gas measured at 42 oC and 1.52 atm

Answers

Answer:

87.0%

Explanation:

Step 1: Write the balanced reaction

H₂O₂ ⇒ H₂O + 0.5 O₂

Step 2: Calculate the real yield of oxygen, in grams

We have 375 mL (0.375 L) of O₂ at 42 °C (315 K) and 1.52 atm. First, we will calculate the number of moles using the ideal gas equation.

P × V = n × R × T

n = P × V / R × T

n = 1.52 atm × 0.375 L / (0.0821 atm.L/mol.K) × 315 K = 0.0220 mol

The molar mass of oxygen is 32.00 g/mol.

0.0220 mol × 32.00 g/mol = 0.704 g

Step 3: Calculate the theoretical yield of oxygen, in grams

According to the balanced equation, the mass ratio of H₂O₂ to O₂ is 34.01:16.00.

1.72 g H₂O₂ × 16.00 g O₂/34.01 g H₂O₂ = 0.809 g O₂

Step 4: Calculate the percent yield of oxygen

We will use the following expression.

%yield = real yield / theoretical yield × 100%

%yield = 0.704 g / 0.809 g × 100% = 87.0%

Considering the reaction stoichiometry and the ideal gas law, the percent yield when 1.72 g of H₂O₂ decomposes and produces 375 mL of O₂ gas measured at 42 °C and 1.52 atm is 86.96%.

Theoretical yield of oxygen

The balanced reaction is:

2 H₂O₂ → 2 H₂O +  O₂

By reaction stoichiometry (that is, the relationship between the amount of reagents and products in a chemical reaction), the following amounts of moles of each compound participate in the reaction:

H₂O₂: 2 moleH₂O: 2 mole O₂: 1 moles

The molar mass, this is the amount of mass a substance contains in one mole, of H₂O₂ is 34 [tex]\frac{g}{mole}[/tex]. Then, the amount of moles of H₂O₂ that decomposes when 1.72 grams of H₂O₂ reacts is calculated as:

[tex]1.72 gramsx\frac{1 mole}{34 grams}= 0.0506 moles[/tex]

Then you can apply the following rule of three: if by stoichiometry 2 moles of H₂O₂ produce 1 moles of O₂, 0.0506 moles of H₂O₂ will produce how many moles of O₂?

[tex]amount of moles of O_{2} =\frac{0.0506 moles of H_{2} O_{2} x1 mole of O_{2} }{2 moles of H_{2} O_{2}}[/tex]

amount of moles of O₂= 0.0253 moles

Real yield of oxygen

On the other side, an ideal gas is characterized by three state variables: absolute pressure (P), volume (V), and absolute temperature (T). The relationship between them constitutes the ideal gas law, an equation that relates the three variables if the amount of substance, number of moles n, remains constant and where R is the molar constant of the gases:

P× V = n× R× T

In this case, for O₂ gas you know:

P= 1.52 atmV= 375 mL= 0.375 L (being 1000 mL= 1 L)n= ?R= 0.082 [tex]\frac{atmL}{molK}[/tex]T= 42 °C= 315 °K (being 0°C= 273°K)

Replacing:

1.52 atm× 0.375 L = n× 0.082 [tex]\frac{atmL}{molK}[/tex]× 315 K

Solving:

[tex]n=\frac{1.52 atmx 0.375 L}{0.082\frac{atmL}{molK}x 315 K }[/tex]

n= 0.022 moles

Percent yield of oxygen

The percent yield is calculated as

[tex]Percent yield= \frac{real yield}{theoretical yield} x100[/tex]

In this case, for oxygen the percent yield is calculated as

[tex]Percent yield of oxygen= \frac{0.022 moles}{0.0253 moles} x100[/tex]

Percent yield of oxygen= 86.96 %

Finally, the percent yield when 1.72 g of H₂O₂ decomposes and produces 375 mL of O₂ gas measured at 42 °C and 1.52 atm is 86.96%.

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Which is a characteristic of aromatic hydrocarbons?
A. Alternating single and double bonds
B. Bonds between oxygen and carbon atoms
C. Oxygen atoms bonded to hydrogen atoms
D. Two hydrogen atoms bonded together​

Answers

Answer:

A. Alternating single and double bonds

Explanation:

Hydrocarbons i.e. hydrogen and carbon containing compounds, are grouped into two namely: aliphatic and aromatic hydrocarbons. Aliphatic hydrocarbons contains straight or branched chains of carbon and hydrogen atoms in their structure e.g. alkanes, alkenes etc.

On the other hand, aromatic hydrocarbons are cyclic hydrocarbons containing one or more cyclic rings. The benzene ring is the basis of all aromatic hydrocarbons and one characteristics of benzene is that it possesses an alternating single (-) and double bonds (=) in their structure.

Since benzene is a building constituent of aromatic hydrocarbons, an "alternating single and double bond" is a characteristics of aromatic hydrocarbons.

Select all of the abiotic factors in an ecosystem.

Plants

Sunlight

Soil

Animals

Rocks

Dead deer in the forest

Temperature

Answers

Answer:

Sunlight, Soil, Rocks, Temperature and dead deer

Explanation:

You could say the dead tree is now an abiotic factor because biotic factors refer to living things

In a thermonuclear device, the pressure of 0.050 liters of gas within the bomb casing reaches 458000 atm. When the bomb casing is destroyed by the explosion, the gas is released into the atmosphere where it reaches a pressure of 1.00 atm. What is the volume of the gas after the explosion

Answers

Answer:

22900 L

Explanation:

Assuming the gas behaves ideally, we can solve this problem by using Boyle's law, which states that:

P₁V₁=P₂V₂

Where subscript 1 refers to the initial conditions of pressure and volume (within the bomb, namely), while 2 refers to the final conditions.

Meaning that in this case:

P₁ = 458000 atmV₁ = 0.050 LP₂ = 1.00 atmV₂ = ?

We input the data:

458000 atm * 0.050 L = 1.00 atm * V₂

And solve for V₂:

V₂ = 22900 L

What you know about rolling ' down in the deep?

When your brain goes numb, you can call that mental freeze

When these people talk too much, put that sh ei t in slow motion, yeah

I feel like an astronaut in the ocean, aye

What you know about rolling' down in the deep?

When your brain goes numb, you can call that mental freeze

When these people talk too much, put that s h e it in slow motion, yeah

I feel like an astronaut in the ocean

Answers

Answer:

She say that im cool

I'm like "yeah thats true"

I believe in G-O-D

Dont believe in T-H-O-T

Explanation:

Answer:

rolling in the deep

Explanation:

What is the hydrogen ion concentration of a solution with a pH of 2.0?

Answers

Answer:

[H+] = 10^-2

Explanation:

pH = -log[H+]

2 = -log[H+]

[H+] = 10^-2

28. If the total pressure of a mixture of four gases (neon, carbon dioxide, oxygen and hydrogen) is 1245 mm
Hg, what is the pressure of neon gas if the pressure of carbon dioxide is 145 mm Hg, the pressure of hydrogen is
499 mm Hg and the pressure of oxygen is 228 mm Hg?
A) 601 mm Hg
B) 746 mm Hg
C) 872 mm Hg
D) 373 mm Hg

Answers

Answer:

D) 373 mm Hg.

Explanation:

We can solve this problem by keeping in mind Dalton's law of partial pressures, which states that the total pressure of a mixture of gases is equal to the sum of each gas' partial pressures. In other words, for this case:

Total Pressure = Ne Pressure + CO₂ Pressure + O₂ Pressure + H₂ Pressure1245 mm Hg = Ne Pressure + 145 mm Hg + 228 mm Hg + 499 mm HgNe Pressure = 373 mm Hg

The answer is option D) 373 mm Hg.

Benzaldehyde and benzyl alcohol can be distinguished by NMR. The proton on the aldehyde group will appear at approximately _____ ppm; the methylene peak on the alcohol is the only peak ______ ppm for either compound.

Answers

Answer:

9-10 ppm.

0.2-0.4 ppm.

Explanation:

The proton on the aldehyde group will appear at approximately 9-10 ppm whereas the methylene peak on the alcohol is the only peak 0.2-0.4 ppm for either compound. Aldehydes and aromatics are quite distinctive in the Nuclear magnetic resonance (NMR). Aldehydes show up from 9-10 ppm, usually as a small singlet; aromatic protons show up from 6.5-8.5 ppm. NMR spectroscopy is the use of NMR to study the physical, chemical, and biological properties of matter.

Heat is added to two identical samples of a monatomic ideal gas. In the first sample, the heat is added while the volume of the gas is kept constant, and the heat causes the temperature to rise by 80 K. In the second sample, an identical amount of heat is added while the pressure (but not the volume) of the gas is kept constant. By how much does the temperature of this sample increase

Answers

Answer:

The temperature of the sample increase by 48 Kelvin

Explanation:

The sample is identical.

Hence the heat at constant pressure is equal to the heat at the constant Volume

Q1 = Q2

Q 1 = heat at constant pressure

Q2 = heat at the constant Volume

Substituting the given values, we get -

[tex]\frac{3}{2} nRT_1 = \frac{5}{2} nRT_2\\3 * 80 = 5 * T_2\\T_2 = 48[/tex]

The temperature of the sample increase by 48 Kelvin

Oh no! I dash (lose) my purse

Answers

Answer:

Ok

Explanation:

WILL GIVE BRAINLIEST!!!
Which of the following conditions remain constant in Boyle's law?

Volume and pressure
Density and temperature
Pressure and number of moles
Temperature and number of moles

Answers

Answer: Temperature and number of moles are the conditions which remain constant in Boyle's law.

Explanation:

Boyle's law states that at constant temperature the pressure of a gas is inversely proportional to the volume of gas.

Mathematically, it is represented as follows.

[tex]P \propto \frac{1}{V}[/tex]

As equation for ideal gas is as follows.

PV = nRT

And, at constant temperature the pressure is inversely proportional to volume which also means that number of moles are also constant in Boyle's law.

Thus, we can conclude that temperature and number of moles are the conditions which remain constant in Boyle's law.

Answer:

Temperature and number of moles

Explanation:

Is nuclear energy good or bad?

Answers

Answer:

It is bad

Explanation:

Is nuclear energy good or bad?

Bad it’s bad bad baddddddddddddddd

Calculate the mass percent (m/m) of a solution prepared by dissolving 51.56 g of NaCl in 164.2 g of H2O. Express your answer to four significant figures. View Available Hint(s)

Answers

Answer:

"23.896%" is the right answer.

Explanation:

The given values are:

Mass of NaCl,

= 51.56 g

Mass of H₂O,

= 165.6 g

As we know,

⇒  Mass of solution = [tex]Mass \ of \ (NaCl+H_2O)[/tex]

                                 = [tex]51.56+164.2[/tex]

                                 = [tex]215.76 \ g[/tex]

hence,

⇒ [tex]Mass \ percent =\frac{Mass \ of \ NaCl}{Mass \ of \ solution}\times 100[/tex]

                           [tex]=\frac{51.56}{215.76}\times 100[/tex]

                           [tex]=23.896 \ percent[/tex]

Why should the oil be removed from a low pressure system at 130F

Answers

When removing oil from a low pressure system, the temperature should be 130°F because, less refrigerant will be contained in the oil at higher temperature. Liquid charge into a deep vacuum will boil and may lower temperatures enough to freeze water in the tubes.
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what historic event did the renaissance follow? Is it possible to promote peace and stop the conflicts through komedya? Mhanifa please help! Solve for the unknown in each triangle. Round to the nearest tenth. Help me please its do 10 minutes please help in this one What does conserve mean? Choose the correct word based on the context.Que?Por qu?De dnde?Adnde?Quin(es)Dnde?Cmo?Cundo?Cul(es)?Cuntos(as)?Con quin?Cunto(a)?1. _________ haces t en tiempo libre?-Yo toco la guitarra, y a vecesvoy al cine con mis amigos.2. _________ van Uds.a las montaftas?-Maftana.3. _________ bolgrafos tienes?-Tengo cuatro bol igrafos.4. _________ es l?-s el mi amigo Ricardo.5. _________ eres t?-Soy de Los Baos.6. _________ vas t?-Voy a la piscina. Boris's cat will be having four kittens. Boris performs asimulation by tossing a coin to model whether thesekittens will be male or female. Let heads (H) = female kitten Let tails (T) = male kittenThe results of the simulation are:1. THTT6. THHT2. THHT7. HTHH3. HHHH 8. TTTT4. HTTT9. TTHT5. TTHH10. HTHTWhat is the estimated probability that at least three of the kittens will bemale?60%A.B.40%10C.81080%D. io = 20% Evaluate.7!5!2!A)1B)21C)42 John Winthrop and his followers settled in Massachusetts.A. ProvidenceB. Hudson BayC. BostonD. Jamestown A prism has a length of 14 inches, width of 8 inches, and height of h.A shipping company says the box can hold a volume of 672 cubic inches. The base of the box measures 14 inches by 8 inches.What is the height of the box? inches Company has projected the following cash flows: Year 1: 85,000; Year 2: 105,000; Year 3: 109,000; Year 4: 115,000. The valuator has determined an appropriate discount rate is 26% and the long-term growth rate is 2%. Using the Gordon Growth Model, what is the present value of the company's terminal value use the pythagorean theorem or trig to find the length of the missing side, the hypotenuse. Bettween 09 00 and 10 30, a man walks a distance of 27 km. What is his average speed in km/h? Please help!! The answer options are 12/35, 12/37, 37/12, 35/37 Which one is it?? (Foundations 07 MC)A text box reads, If men were angels, no government would be necessary. If angels were to govern men, neither external nor internal controls on government would be necessary ... the great difficulty lies in this, you must first enable the government to control the governed, and in the next place oblige it to control itself. - James Madison, Federalist No. 51 2013 FLVSBased on the quote, which of the following statements would James Madison support? The power of the federal government should be unlimited to ensure public safety. The power of the federal government should be limited to protect people's rights. The federal government should limit individual rights whenever it thinks necessary. The federal government should reconsider the list of individual rights once a year. The diagram shows two lighthouses A and B and a port PA boat is on a bearing of 340 from lighthouse A and 245 from lighthouse B.a) Mark, with a cross, the position of the boat on the map.b) What bearing should the boat sail on to enter the port? Determine the slope and y-intercept for the given equation: Y - 3/2x = 3 Please help this is my last math test of the year I really wanna do well! According to William James, in certain situations believing without evidence is possible, rational, and justified by the outcome of such belief. Take a position against his views. Select all the correct answers.Ray has six hours before he goes to bed on a school night. He plans to spend an hour surfing the Internet, two hours playing his favoritegame, two hours watching TV, and one hour doing his homework. However, some of the math problems in his homework are extremelydifficult, and it will take him more than two hours to finish them. He knows his teacher won't give him any credit for the work unless it'scompletely finished, and it's Important that he get good grade in the class. Which of these options for dealing with this situation are atrade-off of Ray's time?O He will spend only one hour on homework and leave out what he can't finish.D He will spend one extra hour on homework and give up watching TV.0He will finish his homework while he is watching TV.O He will play his favorite game for one hour and do homework for two hours.0He will ask his brother to help him with his homework.