When a 1.0 g sample of a candy bar is combusted in a bomb calorimeter whose total heat capacity (including the water) is 4.0 kJ/oC, the temperature of the water increases by 8.0 oC. If the candy bar has a mass of 52 g, calculate the total number of Calories that it contains. (1 Calorie

Answers

Answer 1

The candy bar contains a total of 1,664 Calories.

First, we need to calculate the heat absorbed by the bomb calorimeter:

Q = CΔT

where Q is the heat absorbed, C is the total heat capacity of the calorimeter, and ΔT is the change in temperature of the water.

Q = (4.0 kJ/oC)(8.0 oC)

Q = 32 kJ

Next, we need to calculate the heat per gram of candy bar:

heat/g = Q/m

where heat/g is the heat per gram, Q is the heat absorbed, and m is the mass of the candy bar.

heat/g = (32 kJ)/(1.0 g)

heat/g = 32,000 J/g

Finally, we can calculate the total number of Calories in the 52 g candy bar:

Calories = (32,000 J/g)(52 g)/(1000 cal/1 kJ)

Calories = 1,664 Cal

Therefore, the candy bar contains a total of 1,664 Calories.

Learn more about heat

https://brainly.com/question/1429452

#SPJ4


Related Questions

Which is the unit for molar mass?
These are the choices
grams
g/mol
mole

Answers

The definition of a mole is the mass of a particular substance in kilos divided by the material's molar mass in grams per mol. Mathematically, the number of moles equals the molar mass of the substance in grams.

Why is this tooth called a molar?

Molars are termed after the task they carry out, similar to incisors. The Latin word "mola," which meaning millstone, is the root of the term "molar." Your mouth's molars, which are found close to the back, grind food in the same way a mill grinds wheat into meal.

Molars redevelop twice?

As a result, if something were to happen to a permanent tooth after it had developed, a new tooth would not develop to replace it. But don't be concerned. The various components of adult teeth are often durable enough to last. For instance, the exterior of the tooth, the enamel.

To know more about molars visit:

https://brainly.com/question/4220551

#SPJ1

Identify which statement is true:

A. Isotopes of the same element have the same atomic number and different mass numbers.

B. Isotopes of the same element have the same number of neutrons and a different number of protons.

C. Isotopes of the same element have the same atomic number and mass number, but a different number of neutrons,

D. Isotopes of the same element have the same mass number and different atomic numbers.​

Answers

Answer  b

Explanation:

Answer: B. Isotopes of the same element have the same number of neutrons and a different number of protons.

Explanation: Founders Educere answer.

Good luck my fellow summer school students, I love you all.

Please rate, thanks, & vote brainliest, I want a rank up already.

When the Florida summer brings hot temperatures, what seasonal changes can be seen in plants?
Answer choices:
Florida plants are full of leaves and make fruit.
Florida plants begin to sprout seeds.
Florida plants go dormant from the heat.
Florida plants start to change color.

Answers

I think it’s the first option because of high temperatures there would be more evaporation and precipitation which would give plants water and exposure to the sun makes plants make food because of the photosynthesis process.

Have a nice day and hope this helps : )

Answer:I think it’s the first option because of high temperatures there would be more evaporation and precipitation which would give plants water and exposure to the sun makes plants make food because of the photosynthesis process.

Explanation: Have a nice day and hope this helps : )

Why do atoms tend to form ions with eight valence electrons?

Answers

Question: Which is the best analogy for classification? A.Classification is like setting up a phone tree in which one person calls the next two people, and those people call the next four people. B.Classification is like creating an alphabetized list of people based on their last names. C.Classification is like organizing a car wash where everyone brings needed items and then works. D.Classification is like organizing a closet by hanging clothes together based on their type, color, and season. *15 points cuz i'm low on points oof* *science NOT chemistry*

Answers

Answer:

The last one

Explanation:

When we are classifying we try to distinguish between the type, the properties just like clothes

. what did you observe when potassium iodate was heated in the bunsen burner flame in the presence of the embers? what is the likely identity of the species present at the end of the reaction in part ii, step 2a?

Answers

When potassium iodate is heated in the Bunsen burner flame in the presence of embers, several observations can be made. Initially, the potassium iodate may turn yellowish due to the release of iodine. As the reaction proceeds, the yellow color intensifies, indicating the presence of iodine vapors.

At the end of the reaction in part II, step 2a, the likely identity of the species present is iodine (I2). This is because the heating of potassium iodate (KIO3) in the presence of embers causes the decomposition of the compound, leading to the release of iodine. The equation for this reaction can be represented as:

2KIO3 → 2KCl + 3O2 + I2

Thus, the yellow color and the release of purple or violet fumes indicate the presence of iodine at the end of the reaction.

To know more about potassium iodate visit:-

https://brainly.com/question/32229417

#SPJ11

earths water is mostly A saline B freshwater C freshground water D Fresh surface water PLZ DO NOT GUESS IM TAKING THIS FOR A SEROIUS GRADE

Answers

Compared to the ocean (saline) water, other forms of water are a small percentage (97% vs 3%)

11. How is the atomic emission spectrum of an element produced?

Answers

Answer:

Atomic emission spectra are produced when excited electrons return to the ground state. When electrons return to a lower energy level, they emit energy in the form of light.

Explanation:

Hydrogen bonding forces exist in which of the following compounds?
A.
CH3F
B.
All of these compounds.
C.
HCN
D.
CH3NH2
E.
H2S

Answers

Hydrogen bonding forces exist in compounds where hydrogen is bonded to highly electronegative atoms such as nitrogen, oxygen, or fluorine.

Among the given compounds, HCN, CH3NH2, and CH3F have hydrogen bonding forces since they all have hydrogen bonded to nitrogen or fluorine. H2S does not have hydrogen bonding forces as hydrogen is bonded to sulfur, which is not highly electronegative. Therefore, the correct answer is option B, "All of these compounds" because all the given compounds have hydrogen atoms bonded to highly electronegative atoms, except H2S. Hydrogen bonding forces exist in compound D, CH3NH2.

This is because hydrogen bonding occurs when hydrogen is bonded to a highly electronegative atom, such as nitrogen (N), oxygen (O), or fluorine (F). In CH3NH2, the hydrogen is bonded to nitrogen, enabling hydrogen bonding to take place. The other compounds do not meet the criteria for hydrogen bonding, as hydrogen is not bonded to N, O, or F in those molecules.

To know about bonding:

https://brainly.com/question/31358643

#SPJ11

According to valence bond theory, what would be the set of hybrid orbitals used when a Period 4 transition metal with a dº electron configuration forms a square planar complex? Oa desp Ob. 202 OC. dsp O d. sp3 Oe. dsp

Answers

The correct hybrid orbitals used in a square planar complex formed by a Period 4 transition metal with a dº electron configuration, according to valence bond theory, is dsp2. (C)

This hybridization involves the mixing of one d orbital, one s orbital, and two p orbitals to form four hybrid orbitals.

In a square planar complex, the metal ion is surrounded by four ligands, which are located in the same plane and positioned at 90-degree angles from one another. The four hybrid orbitals formed through dsp2 hybridization point towards each of the four ligands, allowing for the formation of four sigma bonds between the metal and ligands.

The dsp2 hybridization is energetically favorable for transition metals with a dº electron configuration, as it allows for optimal bonding with the ligands while minimizing the repulsion between the electrons in the d orbitals.

Overall, the use of dsp2 hybrid orbitals is a common occurrence in square planar complexes and is an important concept in understanding the bonding and structure of transition metal complexes.(C)

To know more about hybrid orbitals click on below link:

https://brainly.com/question/16251845#

#SPJ11

Complete question:

According to valence bond theory, what would be the set of hybrid orbitals used when a Period 4 transition metal with a dº electron configuration forms a square planar complex?

a desp

b. 202

C. dsp²

d. sp3

e. dsp

Draw the structure of the product formed when the given compound is heated in aqueous base. the formula for the product is_______

Answers

2,2-dimethyl-4-oxohexanal heated in aqueous base forms 2,4,4-trimethylcyclopent-2-en-1-one.

The compound you gave me is 2,2-dimethyl-4-oxohexanal. When it is heated in aqueous base, it undergoes an intramolecular aldol condensation reaction to form 2,4,4-trimethylcyclopent-2-en-1-one. The formula for the product is C8H12O.

Here is the structure of the product:

[Below Image of the structure of 2,4,4-trimethylcyclopent-2-en-1-one]

The reaction proceeds as follows:

The carbonyl group of the oxohexanal molecule attacks the hydrogen atom of the hydroxyl group of the base.

This forms a tetrahedral intermediate.

The electrons from the C-O bond of the carbonyl group move to form a new C-C bond.

The hydroxyl group leaves as a water molecule.

The resulting molecule undergoes a cyclization reaction to form a six-membered ring.

The intramolecular aldol condensation reaction is a type of condensation reaction that occurs when two carbonyl compounds are present in the same molecule. The reaction is catalyzed by a base, which abstracts a proton from one of the carbonyl groups. This forms a nucleophilic enolate ion, which then attacks the carbonyl group of the other carbonyl compound. The reaction proceeds through a tetrahedral intermediate, and the final product is a cyclic compound.

To learn more about carbonyl group: https://brainly.com/question/33582119

#SPJ11

(full question also given in image)Draw the structure of the product formed when the following compound is heated in aqueous base. The formula for the product is C8H12O.

Draw the structure of the product formed when the given compound is heated in aqueous base. the formula
Draw the structure of the product formed when the given compound is heated in aqueous base. the formula

Why are index fossils useful to geologists?

a
they tell the ages of many different rock layers
b
they tell the age of the rock at one location only
c
they tell the relative age of the rock in which they occur

Answers

Index fossils useful to geologists are (c) They tell the relative age of the rock in which they occur.

Index fossil are used to define geological periods. They are the fossils from the known period of time. To date a rock layer , geologist gave a relative age to a layer of rock at one location. Then they will give the same age to the matching layers of rock at another location. theses fossils called as index fossil nd they help the geologist to match the rock layers. To be used as an index for fossils.

Thus, Index fossils useful to geologists are (c) They tell the relative age of the rock in which they occur.

To learn more about index fossils here

https://brainly.com/question/19537130

#SPJ1

which of the following statements about the equilibrium is false? a) if the system is heated, the right side is favored. b) this is a heterogeneous equilibrium. c) if the pressure on the system is increased by changing the volume, the left side is favored. d) adding more h2(g) increases the equilibrium constant. e) removing hi as it forms forces the equilibrium to the right.

Answers

The false statement is that adding more H2(g) rises the equilibrium constant.

In chemistry, how would you find equilibrium?

Q can be utilized to predict which way a response will shift to achieve equilibrium. If K > Q, the reaction will continue, converting reagents into products. If K Q, the reaction will go in the opposite direction, converting products back into reactants. If Q = K, the system has already reached equilibrium.

What is the most perfect example of equilibrium?

Here are some examples of equilibrium: A book resting on a table. A car moving at a constant speed. A chemical reaction in which the prices of forward and reverse reactions are the same.

To know more about equilibrium visit:

https://brainly.com/question/7145687

#SPJ4

The complete question is-

Consider: H2(g)+I2(s)=2HI(g)

Which of the following statements about the equilibrium is false?

A. If the system is heated, the right side is favored

B. This is a heterogeneous equilibrium

C. If the pressure on the system is increased by changing the volume, the left side is favored

D. Adding more H2(g) increases the equilibrium constant

E. Removing HI as it forms forces the equilibrium to the right

What causes the difference in density of matter?

Answers

Answer:

because it has more space

Explanation:

density have many pressure

The more mass an object contains in a given space, the more dense it is. It is important to remember, though, that this relationship is not just about how closely packed together the atoms of an element or the molecules of a compound are. Density is also affected by the atomic mass of an element or compound.

hello,

\(\large\mathbb{{\colorbox{navy}{{\colorbox{lightblue}{QUESTION}}}}}\)

What are the uses of Concentrated Cinnamon Water BPC ?

Answers

\(\huge{\underline{\mathtt{\red{A}\pink{N}\green{S}\blue{W}\purple{E}\orange{R}}}}\)

In talc preparation, it is used during the filtration process and also acts as a distribution agent. When it is added to the dill water, it combines with all other compounds present in the substance and leaves the water alone. In this way, it acts as a filtering agent.

What is the number of significant figures in each of the following measured quantities? 0.0105 L.

Answers

The measured quantity 0.0105 L has three significant figures. Significant figures are the digits in a measurement that convey precision, excluding leading zeros and trailing zeros without a decimal point.

In the measured quantity 0.0105 L, there are three significant figures. Significant figures are the digits in a measurement that indicate the precision and reliability of the value. The general rule for determining significant figures is as follows:

1. Non-zero digits are always significant. In this case, the digits "1", "0", and "5" are all non-zero and therefore significant.

2. Leading zeros (zeros at the beginning of a number) are not significant; they act as placeholders. In this measurement, the leading zero before the decimal point is not considered significant.

3. Zeros between significant digits are significant. There are no zeros between the significant digits "1", "0", and "5" in this case.

4. Trailing zeros (zeros at the end of a number) after a decimal point are significant. In this measurement, the trailing zero after the "5" is significant.

By applying these rules, we can determine that the measured quantity of 0.0105 L has three significant figures, representing the precision of the measurement to the hundredth place.

learn more about measured quantity here:

https://brainly.com/question/29135463

#SPJ11

Definition: This is the energy that comes to Earth from the Sun.
Example: using the sun to dry your laundry hanging on the clothesline


Answers

Answer:

well to me it is called natural energy

Any environmental concerns about the use of flerovium

Answers

Answer: contributes to greenhouse gasses, can kill plants and animals when breathed in

Explanation:

The method adopted in the separation of lead (II) Chloride from water is

Answers

Answer:

distillation

Explanation:

Try to dissolve the solid mix in boiling water. Silver chloride will not dissolve, we can filtrate to isolate solid silver chloride. In the filtrate is a solution of lead(II) chloride and sodium chloride. Let this solution cool and lead chloride will precipitate, we can again filtrate to isolate lead chloride.

So definitely, it is distillation.

Cc
( (CC
?
A man and a woman want to have a child, but the man is heterozygous (Ce) for a
recessive trait that causes a fatal illness. What is the probability of a child inheriting the
trait?
a 50%
b. 25%
c. 0%
d. 75%

Answers

Answer:

You should be posting this question under the biology tab, but here's the answer nonetheless.

a. 25% (if the woman is Ce)

c. 0% (if the woman isn't Ce)

which of the molecular orbital diagrams is correctly filled for the diatomic molecule r2? (each atom of r has six valence electrons in ns and np orbitals.)

Answers

Atomic orbitals are the areas to the left and right of the dashed lines. The possible molecular orbitals that they can form are indicated by the dashed lines.

Normally, in diatomic molecular orbitals, the atomic orbitals with the closest energy level can overlap with each other and form molecular orbitals. Therefore, the atomic orbitals generally tend to overlap one by one from the lowest potential energy to the highest potential energy. For example, in a homonuclear diatomic molecule, which means that both atoms are the same element, the same orbitals will overlap together and form molecular orbitals.

Learn more about atomic orbitals here:

https://brainly.com/question/14571416

#SPJ4

Select all of the following that are products of a chemical reaction catalyzed by beta galactosidase:

A) Glucose B) Allolactase C) Galactose D) Lactose

Answers

D) Beta-galactosidase catalyzes the hydrolysis of lactose, breaking it down into glucose and galactose. Therefore, the main product of this reaction is lactose. Beta-galactosidase catalyzes the hydrolysis of lactose, breaking it down into glucose and galactose. Therefore, the main product of this reaction is lactose.

Beta-galactosidase catalyzes the hydrolysis of lactose into its constituent monosaccharides, glucose, and galactose. Therefore, the products of the chemical reaction catalyzed by beta-galactosidase are glucose and galactose. However, allolactase is not a product of this reaction. Allolactase is an inducer molecule that binds to the lac repressor, resulting in the activation of the lac operon and increased production of beta-galactosidase. So, while allolactase is involved in regulating the expression of the beta-galactosidase enzyme, it is not directly produced by the catalytic action of beta-galactosidase itself. Therefore, the correct answer is D) Lactose.

learn more about lactose here:

https://brainly.com/question/31435287

#SPJ11

explain what is coastline matching

Answers

Answer:

Coastline Matching. The similarity of coastlines for different continents suggests that they may once have been connected. But the fact that they were separated by sometimes thousands of miles suggested continental drift or plate tectonics . florianmanteyw and 98 more users found this answer helpful.

8. Which of the following are reasons why Index fossils are chosen for determining ages of rocks? Select all that apply .
A Found commonly in rocks
B. Distributed over a very wide range
C. Are always dinosaurs
D. Limited life existence in geologic time.

Answers

Answer:

B. Distributed over a very wide range

D. Limited life existence in geologic time.

Explanation:

Index fossils are very unique fossils that helps in determining the relative ages of rocks and biostratigraphic correlation. They are usually called guide fossils.

Fossils are the preserved remains of dead organisms found in rocks. Index fossils are a special class of fossils with the following properties; They are widely distributed. They have a short stratigraphic range. They show rapid evolution trends

Answer:

d and b

Explanation:

the 6^14 text(c) activity of an ancient artifact is found to be 0.170 bq per gram of carbon. what is its age? the half-life of 6^14 text(c) is 5730 yr.

Answers

The 6¹⁴ text(c) activity of an ancient artifact is found to be 0.170 bq per gram of carbon. 49,305 is its age of ancient artifact.

To find the age of the artifact, we can use the formula for exponential decay:
N(t) = N₀ e(-λt)
Where N0 is the initial amount of 6¹⁴ text(c), N(t) is the current amount, λ is the decay constant (which is related to the half-life), and t is the time elapsed.
We know that the half-life of 6¹⁴ text(c) is 5730 years. This means that after 5730 years, half of the initial amount of 6¹⁴ text(c) will have decayed. So, we can find λ as follows:
λ = ln(2) / t1/2
λ = ln(2) / 5730
λ = 0.000120968
Now, we can use the activity of the artifact to find the current amount of 6¹⁴ text(c):
A = λN
N = A / λ
N = 0.170 / 0.000120968
N = 1403.94
So, the artifact currently has 1403.94 grams of 6¹⁴ text(c). We can use this value and the known initial amount of 6¹⁴ text(c) (which would have been present in the organism when it died) to find the age of the artifact:
N(t) = N₀ e(-λt)
1403.94 = N₀e(-0.000120968t)
We can solve for t:
ln(1403.94/N0) = -0.000120968t
t = -ln(1403.94/N0) / 0.000120968
We don't know the exact initial amount of 6¹⁴ text(c) in the organism, but we can assume it was the same as the current amount in the atmosphere (which is about 1.2 × 10¹² grams). So:
t = -ln(1403.94/1.2e12) / 0.000120968
t = 49,305 years
Therefore, the artifact is approximately 49,305 years old.

Learn more about Half life here

https://brainly.com/question/31666695

#SPJ11

A scientist was studying a population of elephants. The first year, he counted a population of 80. Over the next eight
years, the population's numbers were 94, 100, 103, 110, 125, 120, 125, 120. What appears to be the carrying capacity
for this population?
0 120
0124
O 125
O 126

Answers

Answer:

The carrying capacity of this population would be 125 we know this because we see that this number occur multiple times and seems to be the tipping point after which the number of the population always go down

Answer:

The carrying capacity of this population would be 125 we know this because we see that this number occur multiple times and seems to be the tipping point after which the number of the population always go down

Explanation:

which group in the periodic table contains elements with the valence electron configuration of ns2np1?

Answers

group j neptunium Atomic number 93

What is the name of Pb(NO3)2? Explain how you determined the bond type and the steps you used to determine the naming convention for the compound.

Answers

This chemical is known as lead (II) nitrate. It is an ionic assembly (salt compound) comprised of lead cations in the +2 oxidation state. With regard to the naming convention, each lead (II) cation is paired with two nitrate anions, each having a charge of -1.

What is a naming convention in Chemistry?

Chemical nomenclature is a set of principles for naming chemical substances in a systematic manner. The International Union of Pure and Applied Chemistry designed and developed the most widely used nomenclature in the world (IUPAC).

The basic goal of chemical nomenclature is to guarantee that no ambiguity exists between a spoken or written chemical name and the chemical compound to which the name refers. Each chemical name should only relate to one substance.

It is required to indicate the charge of these cations or compounds containing these cations when identifying them. Ionic compounds are formed when cations and anions interact. The cation of an ionic compound is named first, followed by the anion. When writing their chemical formulae, they use the same format.

Learn more about naming conventions:
https://brainly.com/question/14326884
#SPJ1

Scientists classify clouds by their_ and their weather patterns

Answers

Answer:

Clouds are classified according to their height above and appearance (texture) from the ground.

Explanation:

The following cloud roots and translations summarize the components of this classification system: 1) Cirro-: curl of hair, high; 2) Alto-: mid; 3) Strato-: layer; 4) Nimbo-: rain, precipitation; and 5) Cumulo-: heap. Hope this helps :)

how many ml of a 0.121 m aqueous solution of iron(iii) acetate, , must be taken to obtain 6.79 grams of the salt?

Answers

242 ml of a 0.121 m aqueous solution of iron(iii) acetate, must be taken to obtain 6.79 grams of the salt

Determining the quantity of Iron acetate solution:

To determine how many ml of a 0.121 M aqueous solution of iron(III) acetate are needed to obtain 6.79 grams of the salt, follow these steps:

1. Calculate the molar mass of iron(III) acetate: Fe(C2H3O2)3
  Fe: 55.85 g/mol
  C2H3O2: (2 * 12.01) + (3 * 1.01) + (2 * 16.00) = 59.05 g/mol
  Molar mass of Fe(C2H3O2)3: 55.85 + (3 * 59.05) = 232.00 g/mol

2. Calculate the number of moles of iron(III) acetate in 6.79 grams:
  moles = mass / molar mass = 6.79 g / 232.00 g/mol ≈ 0.0293 mol

3. Calculate the volume of the 0.121 M aqueous solution needed:
  Volume = moles/molarity = 0.0293 mol / 0.121 M ≈ 0.242 ml

Therefore, you need approximately 242 ml of a 0.121 M aqueous solution of iron(III) acetate to obtain 6.79 grams of the salt.

To know more about the aqueous solution, visit: https://brainly.com/question/26856926

#SPJ11

Other Questions
Use the chart to multiply the binomial by the trinomial.The expression (2 y + 3)(3 y squared + 4 y + 5) is shown above a blank table with 3 columns and 2 rows.Which polynomial is the correct product?15y3 + 17y2 + 22y + 156y3 + 17y2 + 22y + 156y3 + 20y2 + 22y + 156y3 + 17y2 + 22y + 25 f(x)=-2 find x if f(x)= 32= 11help 0.34 pts there are two essential parts to the general definition of any fault. what are they? group of answer choices a break in the rock and duplication of strata duplication of strata and changing thickness of the crust a break in the rock and breaking the surface: visibility on a map changing thickness of the crust and movement of one side of the fault relative to the other a break in the rock and movement of rock on one side of the fault relative to the other The Post Office delivers packages everyday. They notice that 5 out of every 20 packages weigh over 8 pounds. What percent weigh over 8 pounds?PLZZZ HELP- O.O PLSSS IM TIMED 35 POINTS PLSSSS DUE TODAY!!Translate each English word into Spanish. YOU MAY TAKE THIS ONLY ONCE.To understand To think To want To sleep To find To be able to / Can To say/tell To ask for To repeat To serve The difference of the square of a number and 18 is equal to 3 times that number. Find the positive solution Part C - Impacts of decreases and increases in precipitationClimate change effects Earth in many ways, such as through changes in temperature and precipitation.Hotter temperatures can cause people to experience heat stroke, a body temperature of 104F (40C) or higher.Additionally, as the normally cool high latitudes increase in temperature, their growing season is lengthening. Warm temperatures suitable to farming arrive earlier in the spring, and cold temperatures arrive later in the autumn.Dry regions are predicted to become drier due to decreased precipitation and increased evaporation, expanding arid and semiarid areas.However, in detail, changes in the water cycle can cause decreases in precipitation in some areas as well as increases in precipitation in other areas.You have already learned that less rainfall can create droughts that adversely effect the environment and people living there. It is also true that increasing rainfall can produce adverse effects, such as increased landslide hazards that put human life and infrastructure at risk.Along these lines, we can actually begin to imagine numerous other possible effects related to our changing climate.Although both caused by climate change, temperature and precipitation changes are separate effects of a changing climate. Note that the focus here is precipitation.Sort the following impacts based on whether they are expected in wet or dry climates or are a feature of other effects related to climate change.Drag the appropriate items to their respective bins.View Available Hint(s)ResetHelpdecreased crop yieldsincreased risk of forest fireincreased avalanche damageincrease potential for landslidesbetter farming at high latitudesincreased risk of heat strokeImpacts due to lower precipitation (Drag here)Impacts due to higher precipitation (Drag here)Impacts due to other effectsof climate change (Drag here) Jacob is leaving his house to go to work and running 5 minutes late in the past, when Jacob has been 5 minutes late for work, he has taken an alternate route to work a total of 16 times. When in the same position, Jacob has take his normal route to work 27 times In the situations when Jacob has taken the alternate route to work, he has been late 8 times , on-time 3 times and early 5 times In situations when he has taken his normal route to work, he has been late 9 times on-time 12 times, and early 6 times Based on the information above, if Jacob's goal to be on -time or early for workshould he take the alternate route or his normal route? please Show the algebraic work steps thank you Celia Ltd. has invested in certain projects to avail future benefits for its company. Which project could be classified as an expansion project?A. installing new air conditioners in the warehouseB. opening new retail outlets in the cityC. obtaining new health policies for all its employeesD. buying a new machine in exchange for the old oneOpening new retail outlets in the city is the answer Life expectancy in the U.S. is steadily increasing due to medical advancements and the increased awareness of maintaining a healthy lifestyle. The life expectancies for men and women in the U.S. can be modeled by the following functions: W (x) = 0.126 x + 76.74. M (x) = 0.169 x + 69.11 where W(x) represents the life expectancy for women and M(x) represents the life expectancy for men, and x represents the number of years since 1975. (x = 0 corresponds to the year 1975, x = 5 corresponds to the year 1980 and so on.) Write an inequality to determine the birth years of women whose life expectancy is at least 85. a. 0.126 x + 76.74 less-than-or-equal-to 85 b. 0.126 x + 76.74 greater-than-or-equal-to 85 c. 0.126 x + 76.74 less-than 85 d. 0.126 x + 76.74 = 85 Please select the best answer from the choices provided A B C D 2.2What is the future value of an investment of $18,000 that will earn interest at 6 percent and fall due in seven years?2.6Todd was asked what he would pay for an investment that offered $1,500 a year for the next 40 years. He required an 11 percent return to make that investment. What should he bid?2.8How many years would it take for $2,000 in savings a year earning interest at 6 percent to amount to $60,000?2.10What is the difference in amount accumulated for a $10,000 sum with 12 percent interest compounded annually versus one compounded monthly over a one-year period?" An Xbox has a retail price of $350. Best Buy is offering a 15% discount on the system. How much will the Xbox cost after the discount? WWhy would you be a good fit for this position?hy would you be a good fit for this position? A lever has an input arm 50 centimeters long and an output arm 40 centimeters long. What is the mechanical advantage of the lever? (MA=Input distance / Output distance) a 2.0 b 1.25 c 1 d 0.8 The central bank conducts countercyclical monetary: interest rates and bank reserves fiscal, interest rates and inflation rates monetary; interest rates and government budgets fiscal; interest rates and bank reserves policies by manipulating A rectangular section of wilderness will be set aside as a new wildlife refuge. Its dimensions are (5 x 10^5) by (4 x 10^4). What is the area of the land? Write your final answer in scientific notation. Explain how you got your answer. Please help I don't understand! Which of the following is the smallest? a. half of 98 b. one-fourth of 192 c. one-sixth of 282 A one-year zero coupon bond is trading at a price of $90, a two-year zero coupon is trading at $80, and a three-year zero coupon bond is trading at $70. All bonds have a face value of $100 and are assumed to be risk-free. What is the price of a three-year 10% coupon bond?Do not copy from Chegg and give complete answer with explanation