The fuel used in many disposable lighters is liquid butane, C4H10 . How many carbon atoms are in 3.00 g of butane

Answers

Answer 1

The amount of carbon atoms in 3.00 g of butane if The fuel used in many disposable lighters is liquid butane, C₄H₁₀ is 1.24 x 10²³.

Butane has a molecular formula of C₄H₁₀, and its molar mass is 58.12 g/mol. To calculate how many moles of butane are in 3.00 g, divide the mass of the butane by its molar mass:

3.00 g C4H10 / 58.12 g/mol C₄H₁₀ = 0.0517 mol C₄H₁₀

Since each molecule of butane contains four carbon atoms, we can figure out the number of carbon atoms in 0.0517 mol of butane by multiplying by Avogadro's number, which is 6.022 x 10²³ atoms/mol:

0.0517 mol C₄H₁₀ x (4 C atoms/1 C₄H₁₀ molecule) x (6.022 x 1023 C atoms/1 mol C atoms)

= 1.24 x 1023 C atoms

So, 3.00 g of butane contains 1.24 x 10²³ carbon atoms.

Learn more about butane: https://brainly.com/question/24213153

#SPJ11


Related Questions

Given the equilibrium system at 25°C:NH4Cl(s) = NH(aq) + Cl(aq)(AH = +3.5 kcal/mole)Which change will shift the equilibrium to the right?

Answers

Explanation

NH4Cl(s) = NH4+(aq) + Cl-(aq) AH = +3.5 kcal/mole

We have some changes that shift the equilibrium to the right, according to Le Châtelier's principle.

I will write some of them:

By Adding amount of NH4Cl or by increasing the temperature because according to the heat of the reaction this is an endothermic reaction.

Answer: Increasing the temperature of the system.

500 mL D5W is infusing at a rate of 25 macrogtt / min . The drop factor is 10 gtt /m L. How long will it take for the IV to infuse ?

Answers

500 mL D5W is infusing at the rate of 25 macrogtt / min. The drop factor is 10 gtt /m L and it will take 20 minutes for the IV to infuse.

First, we need to calculate the flow rate in mL/min using the given information.

25 macrogtt/min × 10 gtt/mL = 250 gtt/mL

The flow rate in mL/min is the same as the number of drops per minute divided by the drop factor, which is:

250 gtt/mL ÷ 10 gtt/mL = 25 mL/min

Now we can use the formula:

time = volume ÷ rate

where volume is the total volume to be infused and rate is the flow rate.

Plugging in the given values, we get:

time = 500 mL ÷ 25 mL/min

time = 20 minutes

To know more about drop factor here

https://brainly.com/question/26275156

#SPJ4

What is the frequency of 7.94nm (7.94*10^-7m)?

Answers

Answer:

I don't know the answer but I do really like your profile picture, it's cool. He is my favorite character from Demon Slayer

Make a funny sentence for ductile

Here is an example of mercury, It HAS to be for Magnesium.

¨I’m a highly stable element, so you can count on me¨

Answers

Copper and tin wire are both ductile and able to be stretched.

Students investigated the motion of wooden blocks on ramps. They used two boards,
each two meters long, to create ramps. They set the ramps up at different heights, as
shown in the diagram below. Next they took two identical blocks (I and II) and placed
one at the top of each ramp. They placed the blocks so that the back edge of each
block was even with the edge of the ramp (distance =0 meters). The students held the
O
blocks so that the blocks would not slide until the students released them. The students
released the blocks at time = 0 seconds. They measured the total distance traveled by
each block at 1-second intervals as the blocks slid down the ramps. The students recorded
their results as shown below.

Name two forces that acted on the block as they slide down the ramps. Describe how each forced you listed affected on the motion of the block.

Students investigated the motion of wooden blocks on ramps. They used two boards,each two meters long,

Answers

The forces that act on the blocks as they descend the ramp are;

Weight of the blockReaction force on the blockApplied forceFrictional force

What is force?

Force is that which is able to produce a push or a pull. Force causes an object to move from one point to another. For the body that is moving down the ramp there are four forces that act on it;

Weight of the blockreaction force on the blockApplied forceFrictional force

The weight of the block moves it downwards, the reaction force moves the block upwards, the applied force moves the block forward while the fricional force opposes the forward movement of the block.

Learn more about forces: https://brainly.com/question/3121416

Which change will always take place during nuclear fission?

Answers

Answer:

um pretty sure this is it

Explanation:

The fission process also releases extra neutrons, which can then split additional atoms, resulting in a chain reaction that releases a lot of energy.

During nuclear fission, the change that takes place is the release of energy and the generation of large amounts of heat.

What is nuclear fission?

When nuclei fragment, the reaction is known as nuclear fission, that is, it is the energy that is released as a result of the reaction that occurs when heavy atomic nuclei are divided.

It occurs when a heavy atomic nucleus is fragmented into several nuclei of lower weight, and can also produce free neutrons, photons and fragments of the nucleus as a result of this process large amounts of heat are generated.

Therefore, we can conclude that during nuclear fission, the change that takes place is the release of energy and the generation of large amounts of heat, which allows obtaining mechanical energy to start electrical power generators.

Learn more about nuclear fission here: https://brainly.com/question/16543258

how many layer does the earth have?

Answers

Answer:

The earth is split into four major layers: the crust, the mantle, the outer core and the inner core

Explanation:

Name an ester that can be synthesized from propanol and methanoic acid?

Answers

Answer:

Propyl methanoate

Explanation:

The ester that can be synthesized from propanol and methanoic acid is propyl methanoate (also known as methyl propanoate or propyl formate). The reaction between propanol and methanoic acid, which is a carboxylic acid, is a classic example of an esterification reaction, which results in the formation of an ester and water.

2. Write the IUPAC (modern) name for the following compounds a. SF6:b. Hg2Cl2:c. KHCO3:d. HCl(g):e. C2O3:f. Cu(NO3)2

Answers

IUPAC names:

SF6: Sulfur hexafluoride

Hg2Cl2: Mercurous chloride

KHCO3:potassium hydrogen carbonate

HCl(g): Hydrogen chloride

C2O3: Oxalic anhydride

Cu(NO3)2: Copper(II) nitrate

Anhydrides are compounds consisting of a non-metallic element plus oxygen. The formula for anhydrides is of the type X2On (where X is a non-metallic element and O is oxygen). In these compounds, the oxygen also has an oxidation state of -2.

Oxalic anhydride or ethanedioic anhydride, also called oxiranedione, is a hypothetical organic compound

A marketing researcher is conducting a focus group interview with working mothers to learn how Kraft can better meet their needs for convenience foods. What type of research does this represent

Answers

The research described in this scenario represents qualitative research, Qualitative research is a type of research that aims to explore and understand individuals' perspectives, and behaviors in-depth.

Qualitative research is a type of research that aims to explore and understand individuals' perspectives, experiences, and behaviors in-depth. It focuses on gathering rich, descriptive data through methods such as interviews, observations, or focus groups. In this case, the marketing researcher is conducting a focus group interview with working mothers to gain insights into their needs and preferences regarding convenience foods.

A focus group interview involves bringing together a small group of individuals with similar characteristics or experiences to discuss a specific topic. The researcher facilitates the discussion, allowing participants to share their thoughts, opinions, and suggestions. The purpose of the focus group is to generate qualitative data that can provide valuable insights and inform decision-making, such as identifying areas where Kraft can improve their products to better meet the needs of working mothers seeking convenience foods.

To learn more about Qualitative research click here : brainly.com/question/28580938

#SPJ11

choose the following true statement. group of answer choices a triple bond may consist of one sigma bond and two pi bonds or of two sigma bonds and one pi bond. a carbon atom involved in only single bonds may not be sp2 hybridized. a pi bond can hold 4 electrons, two above and two below the sigma-bond axis. a sigma bond is a bond resulting from side-to-side overlap of atomic orbitals. a pi bond is a bond resulting from side-to-side overlap of atomic orbitals.

Answers

A triple bond may consist of one sigma bond and two pi bonds.

Sigma bonds are the most powerful kind of covalent chemical bond. they're fashioned by way of head-on overlapping among atomic orbitals. Sigma bonding is most surely described for diatomic molecules the usage of the language and equipment of symmetry businesses

Sigma bond is a covalent bond formed by overlap of atomic orbitals and hybrid orbitals along the bond axis. The sigma bond in the a hydrogen molecule is formed by overlap of a pair of 1s orbitals, one from each hydrogen atom.

The pi bond is the same as that of the p orbital when seen down the bond axis.

A pi bond is a weaker chemical covalent bond than a sigma bond.

Learn more about sigma bond here:- https://brainly.com/question/26033706

#SPJ4

what mass in grams of na2s2o3 is needed to dissolve 4.7 g of agbr in a solution volume of 1.0 l, given that ksp for agbr is 3.3×10−13 and kf for [ag(s2o3)2]3− is 4.7×1013?

Answers

Mass of \(Na_{2}S_{2}O_{3}\) needed = 0.115g. The given problem can be solved using the concepts of solubility product constant and formation constant.

Given that, Mass of AgBr = 4.7 g Volume of solution = 1.0 L

Ksp of AgBr = 3.3 × 10−13 \(3.3 * 10^{-13}\)

kf of \([Ag(S_{2}O_{3})_{2}]^{3-} = 4.7 * 10^{13}\)

We know that AgBr dissolves in \(Na_{2}S_{2}O_{3}\) by the following reaction:

\(AgBr + Na_{2}S_{2}O_{3} = NaBr + Ag(S_{2}O_{3})_{2}^{3-}\)

For the reaction to occur, the following equilibrium should be established:

\([Ag(S_{2}O_{3})_{2}]^{3-} + AgBr =  Ag_{2}(S_{2}O_{3})_{3} + Br^{-}\)

The Ksp of AgBr can be calculated as follows:

Ksp = [Ag+] [Br−] = (2s) (s)

= \(= 4s 3.3 * 10^{-13}\)

\(= 4s3s = \sqrt[3]{\frac{3.3 * 10^{-13}}{4} }\)

= \(3.4 * 10^{-5}\)M.

The molar concentration of AgBr is \(2s = 6.8 * 10^{-5}\)M.

The formation constant of [Ag(S2O3)2]3−\([Ag(S_{2}O_{3})_{2}]^{3-}\) is given by

\(kf =  \frac{[Ag(S_{2}O_{3})_{2} ^{3-}] }{[Ag^{+}]_{2} [S_{2}O_{3} ^{2-}]}\)

= \(\frac{[Ag(S_{2}O_{3})_{2}^{3-}]}{(s4)4.7 * 10^{13}}\)

= \(\frac{[Ag(S_{2}O_{3})_{2}^{3-}]}{ (6.8 * 10^{-5})4.7 * 10^{13} * 6.8 * 10{-5}}\)

=\([Ag(S_{2}O_{3})_{2}^{3-}][Ag(S_{2}O_{3})_{2}^{3-}]\)

=\(3.196 * 10^{9}\) M.

The molar concentration of \(Na_{2}S_{2}O_{3}\)  is equal to the molar concentration of \([Ag(S_{2}O_{3})_{2}]^{3-}\). Therefore, the molar mass of \(Na_{2}S_{2}O_{3}\)  can be calculated as follows: \(Na_{2}S_{2}O_{3}\)  = \([Ag(S_{2}O_{3})_{2}]^{3-}\). × molar mass / volume of solution \([Ag(S_{2}O_{3})_{2}]^{3-}\). = 3.196 × 10−3 M (1 L = 1000 mL)

\(Na_{2}S_{2}O_{3}\) = \([Ag(S_{2}O_{3})_{2}]^{3-}\).

= 3.196 × 10−3 MC = n / Vn = C × Vn

=  \(Na_{2}S_{2}O_{3}\) × Molar mass of  \(Na_{2}S_{2}O_{3}\) (g/mol) × Vn

= 3.196 × 10−3 M × 158.11 g/mol × 1000 mLn

= 0.508 g or 0.115 g (rounded off to three significant figures).

Therefore, the mass of \(Na_{2}S_{2}O_{3}\)  needed to dissolve 4.7 g of AgBr in a solution volume of 1.0 L is 0.115 g (rounded off to three significant figures).

The mass of Na2S2O3 needed to dissolve 4.7 g of AgBr in a solution volume of 1.0 L is 0.115 g (rounded off to three significant figures).

For more information on solubility product  kindly visit to

https://brainly.com/question/31744076

#SPJ11

Johann Becher's phlogiston hypothesis was falsifiable. True or False

Answers

Answer:

True

Explanation:

What is the method of cooking chicken by browning in hot fat and then covering and cooking in the oven?

Answers

Poêléing is the process of frying chicken in hot fat before wrapping it and baking it.

What is Poêléing?

In the dry-heat cooking technique known as poêléing, the food is cooked in its own juices in a covered pot, typically in the oven.

Poêléing is often referred to as butter roasting.

To know more about Poêléing go to the given link:

https://brainly.com/question/4738210

#SPJ4

The graph shows the volume of a gaseous product formed during two trials of a reaction. A diferent concentration of reactant was used during each trial, whereas the other factors were kept constant. Trial 2 Amount of Product Trial 1 Time Which of the following statements explains which trial has a lower concentration of the reactant? O Trial 1, because the average rate of the reaction is lower. O Trial 1, because this reaction lasted for a longer duration than Trial 2. O Trial 2, because this reaction was initially fast and later slowed down. O Trial 2, because the volume of product formed per unit time was higher​

Answers

Answer:

A). Trial 1, because the average rate of the reaction is lower.

Explanation:

The first sentence elaborates that 'trial 1 had a lower level of concentration of the reactant that eventually led the reaction's average rate to fall.'

A trial having a higher level of concentration of a specific reactant will cause the concentration's average rate to rise. As per the graph provided, trial 2's average reaction rate is higher which shows that its concentration is greater and more reactive. However, the opposite happens in trial 1 where the amount of reactant is lesser in the concentration that leads the concentration to possess a lower rate of reaction. Thus, option A is the correct answer.

when is the velocity the greatest ? why?

Answers

When the slope is higher

The citric acid cycle is the central reaction sequence in the cellular metabolism of humans and many other organisms. One of the key steps is catalyzed by the enzyme isocitrate dehydrogenase and the oxidizing agent NAD⁺. In yeast, the reaction is eleventh order:Rate = K[ enzyme ] [isocitrate]⁴[AMP]²[NAD⁺]m [Mg²⁺]²What is the order with respect to NAD⁺?

Answers

In yeast, the reaction is eleventh order:Rate = K[ enzyme ] [isocitrate]⁴[AMP]²[NAD⁺]m [Mg²⁺]². The order with respect to NAD⁺ is 2.

What is a citric acid cycle?

The citric acid cycle is also called the Krebs cycle. This is the main source of energy that happens in aerobic conditions.

The coefficient that is raised to the active concentration of the reactants is the order in the mass action law. It is determined experimentally and can be fractional, positive, negative, or zero.

Each reactant's order, which is increased to its power in the rate law, is added to determine the order of the entire reaction.

The overall rate = 11

Rate of overall reaction = 1 + 4 + 2 + m + 2 = 11

9 + m = 11

m = 2

Thus, the order with respect to NAD⁺ is 2.

To learn more about citric acid cycle, refer to the below link:

https://brainly.com/question/14438945

#SPJ4

Water is an unique substance. Which of the following is false regarding water ?(a) many ionic salts dissolve well in water due to the ions’ tendency to H-bond with the water(b) each water molecule engages in four H-bonds with its neighboring water molecules(c) water’s H-bonding capability results in water’s exceptionally high heat of vaporization(d) the density of ice is less than that of liquid water due to the hexagonal, open structure of ice(e) water has a high surface tension and a high capillarity due to its H-bonding capability

Answers

Water is an unique substance. The following is false regarding water is

(b) Each water molecule engages in four H-bonds with its neighboring water molecules.

While it is true that water molecules are capable of forming hydrogen bonds with their neighboring water molecules, not every water molecule engages in four hydrogen bonds. In liquid water, the average number of hydrogen bonds per water molecule is less than four due to constant molecular motion and the disruption of some hydrogen bonds. However, in ice, each water molecule forms four stable hydrogen bonds with its neighboring water molecules, which contributes to the unique properties of ice.

Click the below link, to learn more about Water molecules:

https://brainly.com/question/11405437

#SPJ11

Which of the following will undergo a condensation reaction to produce CH3CH2OCH2CH3

Which of the following will undergo a condensation reaction to produce CH3CH2OCH2CH3

Answers

The reaction that undergoes a condensation reaction to produce CH₃CH₂OCH₂CH₃ is the reaction is involving 2CH₃CH₂OH  which is Option D.

The reason behind this is that the reaction between these two compounds is an example of a nucleophilic substitution reaction which includes the replacement or taking over of a leaving group (in this case Br) by a nucleophile (in this case OH) . The reaction projects van SN2 reaction mechanism.

SN2 reaction mechanism refers to the  type of reaction mechanism that is very common in organic chemistry. Inside this mechanism, one bond is broken and dismantled and one bond is formed in a concerted way.

The SN2 reaction mechanism includes the nucleophilic substitution reaction of the leaving group (which generally consists of halide groups or other electron-withdrawing groups) with a nucleophile in a given organic compound .

To learn more about SN2 reaction mechanism

https://brainly.com/question/14150949

#SPJ1

Why is better separation of two liquids achieved by slow rather than fast distillation?.

Answers

Answer:

A one mL per minute rate (or slower) is recommended for best results in a fractional distillation; simple can go faster. Slow, gradual distillation essentially allows the best equilibration and heat transfer. If you heat too fast, vapors may not condense as quickly as desired, and may waste some of the column.

What measuring tool is used to find the volume of a shoe box?
A.water displacement
B.scale
C.beaker
D.ruler

Answers

Answer:

D. Ruler

Explanation:

Use the formula to find the volume of a cuboid by measuring the length, width, and height and multiplying all of them by each other.

what makes alkali metals a family?​

Answers

Answer:

The metals in this group are lithium, sodium, potassium, rubidium, cesium, and francium. The gas hydrogen is also put in this group because it shares similar reactivity with the alkali metals.

I don't know if this is what you wanted or not sorry if it isn't

50 POINTS AND BRAINLIEST
I have to do an experiment about reaction rates, and i need to have things to dissolve..
can someone give me examples of things that people tend to have around the house that can be dissolved easily and are easy to see?

o antacids (i don't have any)
o sugar (colored with food coloring)
oPLEASE GIVE MORE EXAMPLES
o
o
o
o
o
o
o
o
o

Answers

Salt
Coffee
Flour
Oil
Pepper
Ethanol
(Etc.)

Answer:

salt

vinegar

coffee

lemon juice

chalk

ice

ground black pepper

flour

oil

4. Ms. Sanchez did an experiment with elodea

leaf. In the experiment, she measured the

amount of bubbles released by the elodea leaf

with light on. What gas is the Elodea leaf

releasing?

A. Sulfur

B. Carbon dioxide

C. Oxygen

D. Hydrogen

Answers

Elodea leaf was the subject of a test by Ms. Sanchez. Using a light source and oxygen gas, she conducted an experiment in which she counted the number of bubbles emitted by an elodea leaf.

What did Elodea emit in this experiment as bubbles?

Elodea plants transfer the created oxygen from leaves to stem during photosynthesis. A small amount of oxygen escapes from the leaves to generate oxygen bubbles in the water, but the majority of oxygen leaves the stem because the intracellular air spaces in the stem are greater.

What are the leaf's bubbles on it signify?

The oxygen that surges up from an underwater plant's leaves. Plants create food and oxygen from carbon dioxide and water through a process known as photosynthesis.

To know more about Oxygen gas visit:-

brainly.com/question/14868052

#SPJ4

Which of the following pH numbers are acidic? (Choose 2)
9
11
7
5
3

Answers

the pH numbers that are acidic above is 3 and 5

calculate mole fraction of benzene (70 g) having 30 gram of mass of carbon tetrahedral​

Answers

Answer:

0.736

Explanation:

*I am not sure what you mean by "carbon tetrahedral". I'm assuming you are just referring to individual carbon.*

To find the mole percent, you need to (1) convert grams benzene and grams carbon to moles (via their molar masses) and then (2) calculate the mole fraction (via the mole fraction formula).

(Step 1)

Benzene = C₆H₆

Molar Mass (C₆H₆) = 6(12.01 g/mol) + 6(1.008 g/mol)

Molar Mass (C₆H₆) = 78.108 g/mol

70 g C₆H₆          1 mole
---------------  x  ------------------  =  0.896 mole C₆H₆
                         78.108 g

Molar Mass (C) = 12.01 g/mol

30 g C           1 mole
------------  x  -----------------  =  2.50 mole C
                       12.01 g

(Step 2)

                                           moles solute
Mole Fraction  =  ----------------------------------------------
                              moles solute + moles solvent

                                              2.50 mole C
Mole Fraction  =  -------------------------------------------------  =  0.736
                             (0.896 mole C₆H₆ + 2.50 mole C)

Many different chemical substances in the tissues cause both neutrophils and macrophages to move toward the source of the chemical. This phenomenon is known as chemotaxis.

Answers

Chemotaxis is a process by which cells move towards the chemical substances present in their environment. The cells involved in this process are mostly immune cells such as neutrophils and macrophages.

Chemotaxis is a process by which cells move towards the chemical substances present in their environment. The cells involved in this process are mostly immune cells such as neutrophils and macrophages. In this phenomenon, chemical substances present in the tissue fluid cause both neutrophils and macrophages to move towards the source of the chemical.
Neutrophils are the most abundant type of white blood cells that are involved in the innate immune system. They play a major role in defending the body against bacterial and fungal infections. When there is an infection or injury, the damaged cells release various chemical signals that attract neutrophils towards the site of injury or infection.
Neutrophils use chemotaxis to locate the invading microbes. They follow the concentration gradient of the chemical signals to reach the site of infection. The chemical signals bind to the receptors present on the surface of the neutrophils, which initiates a series of signaling pathways that leads to the reorganization of the actin cytoskeleton and the formation of a protrusion in the direction of the gradient.
This protrusion is followed by the forward movement of the cell towards the source of the chemical. Neutrophils use several mechanisms to destroy the invading microbes, such as the production of reactive oxygen species and the release of various enzymes.
In conclusion, chemotaxis is a process by which cells move towards the chemical substances present in their environment. Neutrophils use chemotaxis to locate the invading microbes and defend the body against bacterial and fungal infections.

To know more about neutrophils visit:

https://brainly.com/question/27960149

#SPJ11

The formula that forms when Magnesium and Permanganate bond

Answers

The formula would be MgMn2O8

E. Give reasons
1. Oxygen is a diatomic element.
3. The valency of sodium is one.
F. Differentiate between
1. electrovalent bond and covalent bond
2. acidic radical and basic radical​

Answers

Answer:

the valency of sodium is one because sodium loses 1 electron to become stable

What is the wavelength of radiation whose frequency is 1.56 x 10^12 Hertz?

Answers

Answer:

1.92×10¯⁴ m

Explanation:

From the question given above, the following data were obtained:

Frequency (f) = 1.56×10¹² Hz

Wavelength (λ) =?

Frequency and wavelength of a wave are related by the following equation:

v = λf

Where

'v' is the velocity of light with a constant value of 3×10⁸ m/s.

'λ' is the wavelength

'f' is the frequency.

Thus, we can obtain the wavelength of radiation by using the above formula as illustrated below:

Frequency (f) = 1.56×10¹² Hz

Velocity (v) = 3×10⁸ m/s.

Wavelength (λ) =?

v = λf

3×10⁸ = λ × 1.56×10¹²

Divide both side by 1.56×10¹²

λ = 3×10⁸ / 1.56×10¹²

λ = 1.92×10¯⁴ m

Therefore, the wavelength of the radiation is 1.92×10¯⁴ m

Other Questions
Bonjour svp aide moi je n'arrive pas faire cet exercice Which parts of a plant are responsible for reproduction? Describe the role that each of them will play. know the 4 types of communication skills describe each If you dont know please move on if you know please help:)Drag the correct term to each blank:potential kineticenergy being changed intoWhen a magnet causes a paper clip to move, it's an example ofenergy.A child running is an example ofenergy.A motionless iron object in the magnetic field of a magnet may be said to haveenergy What are the arguments against the use of genetically modified foods? 1. The length and width of a certain rectangle with an area of 12 units can be expressed as x + 2 andx + 3 respectively. What is the value of x? NOTE: only an algebraic solution will earn credit. Find the price of an $11.00 meal with 8.38% tax due to the movement of surface ocean water in the north atlantic gyre, which coastline would have warmer and more humid climates? The graph of y=x^3-2x^2-3x is shown in Figure 1. Based on the graph, what do you think are the solutions of the equation x^3-2x^2-3x=0? Confirm that your values are solutions by substituting them in place of x in the equation x^3-2x^2-3x=0 to see that you get a true statement. diagram of ABCD to find m at a synapse which direction does transmission usually occur (b) An arithmetic sequence in which the first value is 2 and the common difference is 3. (c) A geometric sequence in which the first value is 27 and the common ratio is 1/3. What is the total profit received from the top four brands, by units sold, by carey's extreme sports? A study showed that the mortality risk for human babies goes up as birth weight decreases below the average. Another study shows an increase in mortality risk as birth weight increases above the average. What can be said about human birth weight?. Which of the following statements is true of problem solving?a. Algorithms invariably lead to solutions if they are used properlyb. Heuristics require more scientific knowledge than algorithmsc. Heuristics guarantee a correct solutiond. Algorithms permit more rapid solutions than heuristics Consider+a+perpetuity+that+pays+$60+per+year+with+the+first+payment+today.+the+discount+rate+is+8%.+what+is+the+present+value+of+the+perpetuity? Which of the following would NOT be an example of a long-term goal?A.lose 30 pounds in eight monthsB.run a marathon in two yearsC.lift weights every other day this weekD.qualify for a triathlon in one year The supply and demand functions of a good are given byP = QS + 8P = 3QD + 80where P, QS and QD denote price, quantity supplied and quantity demanded, respectively.(a) Find the equilibrium price and quantity if the government imposes a fixed tax of $36 on each good.(b) Find the corresponding value of the governments tax revenue. 7 bags of red grapes cost $27.094 bags of green grapes cost$14.96. Which type of grape ismore expensive? Which of the following regions of the brain is incorrectly paired with its function?A. Corpus callosum - communication between the left and right cerebral corticesB. Cerebrum - calculation and contemplationC. Medulla oblongata- homeostatic controlD. Cerebellum - language comprehension