You pushed a shopping cart with 30 N of force. The cart accelerated at 3 m/s^2 What is the mass of the shopping cart?

Answers

Answer 1

Answer:

the mass is 10

Explanation:

30 divided by 3

Answer 2

Answer: mass is 10

Explanation:

F=30N M=? A=3m/s^2

M= 30N / 3m/s^2

in other words 30 divided by 3


Related Questions

Methane gas combusts according to the following chemical
equation:
CHA(g) + 202(g) -› CO2(g) + 2H,0(1)
29.2 L of methane gas is combusted with 63.3 L of oxygen
gas at STP. What volume of carbon dioxide is produced in the
reaction?
L CO2
Your answer should be rounded to three significant figures. Do not Include
units In your answer.

Answers

Answer:

From the balanced chemical equation, we know that 1 mole of methane reacts with 2 moles of oxygen gas to produce 1 mole of carbon dioxide and 2 moles of water vapor. At STP (standard temperature and pressure, 0°C and 1 atm), 1 mole of gas occupies 22.4 L of volume.

First, we need to determine how many moles of methane and oxygen are involved in the reaction. Since the volumes of gases are given at STP, we can use the ideal gas law:

n = PV/RT

where n is the number of moles of gas, P is the pressure, V is the volume, R is the gas constant, and T is the temperature. At STP, the pressure is 1 atm and the temperature is 0°C or 273 K. Therefore, we have:

n(CH4) = (29.2 L)(1 atm)/(0.0821 L·atm/mol·K)(273 K) ≈ 1.15 mol

n(O2) = (63.3 L)(1 atm)/(0.0821 L·atm/mol·K)(273 K) ≈ 2.49 mol

From the balanced chemical equation, we know that 1 mole of methane produces 1 mole of carbon dioxide. Therefore, we can determine the volume of carbon dioxide produced using the ideal gas law:

V(CO2) = n(CO2)RT/P

where V is the volume, n is the number of moles, R is the gas constant, T is the temperature, and P is the pressure. At STP, the pressure is 1 atm and the temperature is 0°C or 273 K. Therefore, we have:

V(CO2) = (1.15 mol)(0.0821 L·atm/mol·K)(273 K)/(1 atm) ≈ 26.7 L

Therefore, approximately 26.7 L of carbon dioxide gas is produced in the reaction.

How many moles of KNO3 would have to be added to 100g of water to form a saturated solution at 10C?​

Answers

We need to add 0.316 moles of KNO3 to 100g of water to form a saturated solution at 10°C.

How to determine the number of moles would have to be added ?

To determine how many moles of KNO3 would have to be added to 100g of water to form a saturated solution at 10°C, we need to know the solubility of KNO3 at this temperature.

According to the solubility data, the solubility of KNO3 at 10°C is approximately 32 grams per 100 grams of water.

So, to make a saturated solution at 10°C, we need to add 32 grams of KNO3 to 100 grams of water.

Now, we can calculate the number of moles of KNO3 needed using its molar mass :

Molar mass of KNO3 = 101.1 g/mol

Number of moles of KNO3 = mass of KNO3 / molar mass of KNO3

Number of moles of KNO3 = 32 g / 101.1 g/mol

Number of moles of KNO3 = 0.316 moles

Therefore, we need to add 0.316 moles of KNO3 to 100g of water to form a saturated solution at 10°C.

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Which is the correct assumption used to calculate the steady-state concentration of a pollutant in the lake, so that the concentration in the lake is equal to the one in the exit stream: group of answer choices the pollutant is conservative the lake is completely mixed steady- state conditions prevail first-order reaction kinetic no pollutant accumulation in the lake

Answers

The correct assumption used to calculate the steady-state concentration of a pollutant in the lake, so that the concentration in the lake is equal to the one in the exit stream is that the pollutant is conservative, meaning that it does not react or transform chemically in the lake or in the exit stream. This assumption allows for the use of mass balance equations to calculate the steady-state concentration of the pollutant based on the inflow and outflow rates, assuming that there is no accumulation of the pollutant in the lake. The other assumptions listed (completely mixed lake, steady-state conditions, first-order reaction kinetics) may also be relevant in certain cases, but the conservative pollutant assumption is the most fundamental and necessary one for the calculation of steady-state pollutant concentrations.

Consider all of the different types of c-h bonds in cyclopentene and rank them in order of increasing bond strength? 10. 25 (

Answers

In cyclopentene, there are three types of C-H bonds:

Allylic C-H bond (bond adjacent to the double bond)

Bridgehead C-H bond (bond at the bridgehead carbon)

Methylenic C-H bond (bond in the ring)

The order of increasing bond strength is generally:

Allylic C-H bond

Methylenic C-H bond

Bridgehead C-H bond

Cyclopentene is a cyclic hydrocarbon with the molecular formula C5H8. It is an unsaturated compound with a double bond between two carbon atoms in the ring, making it an alkene. Cyclopentene is a clear, colorless liquid that is insoluble in water but soluble in many organic solvents. It is commonly used as a starting material in the synthesis of various organic compounds, including pharmaceuticals and agrochemicals.Cyclopentene undergoes various chemical reactions due to its unsaturated nature, such as addition reactions with electrophiles and hydrogenation reactions. It can also undergo polymerization to form poly(cyclopentene) with a high glass transition temperature and good mechanical properties.

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reflection

about balancing chemical equation
and molecular wiegth and mollar mass
and molecular ratio and moles of molecules / atoms/

pwede nyo bang gawin Lahat Yan ng reflection ​

Answers

Answer:

The chemical equation for this reaction above would be written as: 2 H 2 ( g) + O 2 ( g ) → 2 H 2 O ( g )

Explanation:

What is the formula (length)x(width)x(height) used for? a The formula for finding the density b The formula for finding the volume c The formula for finding the mass

Answers

To determine the density of a solid that has regular side lengths, it is first needed to calculate the volume of the solid using the equation volume = length x width x height option b)

What is density with example?

density is the bulk of a solid component per unit volume. d = M/V, where d is density, M is mass, and V is volume, is the expression for density. Grams per cubic centimetre are a standard unit of measurement for density.

For example, the density of water is 1 gramme per cubic centimetre, and Earth's density is 5.51 grammes per cubic centimetre. Another way to state density is in kilos per cubic metre (in metre-kilogram-second or SI units).

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What is the specific rotation of (R)-(-)-monosodium glutamate

Answers

The specific rotation of a substance is a measure of its ability to rotate the plane of polarized light. It is usually denoted by the symbol [α] and is expressed in degrees per unit length and concentration.

The specific rotation of (R)-(-)-monosodium glutamate is -2.4° (or -2.4 degrees) when measured in a 1-decimeter cell at a concentration of 10 g/100 mL in water. The negative sign indicates that the rotation is counterclockwise or left-handed, which is typical for most amino acids.

Note that the specific rotation of a substance can vary depending on the wavelength of light used and the temperature at which the measurement is taken. Therefore, it is important to specify these parameters when reporting the specific rotation of a substance.

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reflection

about balancing chemical equation
and molecular wiegth and mollar mass
and molecular ratio and moles of molecules / atoms/


pwede nyo bang gawin Lahat Yan ng reflection ​

Answers

We know a balanced equation by counting the atoms of both sides of the reaction equation.

How do you balance chemical equation?

It seems you are asking something about the balancing of chemical reaction equations and I will explain just that.

Balancing a chemical equation involves making sure that the number of atoms of each element on the reactant side of the equation is equal to the number of atoms of that element on the product side of the equation. Here are the steps to balance a chemical equation:

Write the chemical equation using the correct chemical formulas for the reactants and products.

Count the number of atoms of each element on the reactant side and the product side of the equation.

Identify the element that is not balanced.

Use coefficients (numbers in front of the chemical formulas) to balance the equation. Start with the element that appears in the fewest number of compounds and work your way up.

Double-check that the equation is balanced by counting the number of atoms of each element on both sides of the equation.

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Easy question find total charge in photo will rate 5 stars

Answers

The total charge on the atom is +1 and the correct option is option 3.

What is Bohr Model of atom?

According to the Bohr Atomic model, a small positively charged nucleus is surrounded by revolving negatively charged electrons in fixed orbits.

He concluded that electron will have more energy if it is located away from the nucleus whereas electrons will have less energy if it located near the nucleus.

In a neutral atom, the number of protons is equal to the number of electrons.

Since, this atom has 11 protons and 10 electrons, thus there is one extra protons which gives it a +1 charge.

Therefore, the total charge on the atom is +1 and the correct option is option 3.

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If you calculated 1.22 × 0.91, how many significant figures would be in the answer?

2
3
4
5

Answers

Answer: 2.

Explanation: Because, if you multiply 1.22 by 0.91 or .91, you’ll get 1.1102.

*If this answer doesn’t help, let me know so I can configure this.

If X is an atom from group 3 and Y is an atom from group 6, what is the most likely ionic formula?

Answers

If X is an atom from the group 3 and Y is an atom from the group 6,  the most likely ionic formula is X₂Y₃.

The X is the atom from the group 3 and it will form the cation = X³⁺

The Y is the atom from the group 6 and it will form the anion = Y²⁻

To balance the charges, the 2X³⁺ cations and the 3Y²⁻ anions form the ionic formula. The ionic formula of the compound is as follows :

The ionic formula = X₂Y₃

This is called as the ionic compound, in which the compound is formed by the sharing of the electrons.

Thus, the ionic formula is X₂Y₃.

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In what way can we play our role in the field of science? (as a student)

Answers

Students studying science, including professors, should observe, deduce, forecast, communicate, apply ideas, and ask questions.
When appropriate, they should interpret data, categorize, control variables, operationalize definitions, conduct experiments, develop models, and develop hypotheses.
Any science—physical, biological, earth, environmental, STEM—can be used to support this.

The more often this is done, the more obvious the connections between the many fields of study (and other subjects) become, and the more profound the comprehension and problem-solving skills become.



How many grams of solute are present in 585 mL of 0. 610 M KBr?

mass of solute:

Answers

The grams of solute present in 585 mL of 0. 610 M KBr is given by Mass of solute = 42.46 g KBr.

The total number of moles of solute per litre of solution is defined as the molarity of a specific solution. Because, unlike mass, the volume of a system changes with changes in physical circumstances of the system, the molality of a solution is reliant on changes in physical qualities of the system such as pressure and temperature. M, which stands for molarity, represents molarity.

M = 0.610  and V = 585mL = 0.585 L

Molarity is given by,

M = mol/V

M  is molarity.

mol is moles of solute.

V is volume of solution in liters.

we need to determine moles so,

0.610 = mol / 0.585

mol = 0.35685 mol KBr

We must now convert this mole quantity to mass. KBr has a molar mass of 39.098 g/mol + 79.904 g/ mol = 119.002 g / mol.

0.3568 x 119.002 = 42.46 g KBr.

So, the mass of solute is 42.46 g KBr.

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4Al + 3O2 -> 2Al203

How many Liters of oxygen gas at STP are required to react with 2.00 moles of aluminum?

Answers

Explanation:

Refer to picture above.........

A student mixed 24.5 g of magnesium bromide with 8.67 x 1022 molecules of hydroiodic acid... They recovered 8.23 g of acid. What is the percent yield?

Answers

Explanation:

Refer to pic............

You have a balloon filled with carbon dioxide gas as STP. The balloon’s volume is 2.8L. how many molecules are in it?

Answers

52×1022 molecules =2×7. 52×1022=15×1022.

= 15,330

Calcium Chloride Calcium chloride (CaCl₂) is a white solid soluble in water. It is the main constituent of several medicinal drugs used to treat calcium deficiency (low levels) in the human body. In agriculture, it is used to provide supplemental calcium to plants to delay their aging. 1. Pick out from the text, the use of calcium chloride in medication.​

Answers

Answer:

Calcium chloride is used in medication to help treat people who have low levels of calcium in their body. It helps supplement the necessary amount of calcium needed for healthy functioning.

Answer:

Calcium chloride is used in medication to help treat people who have low levels of calcium in their body. It helps supplement the necessary amount of calcium needed for healthy functioning.

Explanation:

e.
Which two statements are true about this chemical reaction that forms acid
rain?
2NO₂ + H₂O
0-N=0 H-O-H
0-N=0
→HNO₂ +
HNO HON=0
HNO,
O
A. The bonds that form are between N and O in NO₂ and between H
and O in H₂O.
B. The bonds that break are between N and O in HNO2 and between
O and H in HNO3.
C. The bonds that form are between N and O in HNO2 and between
O and H in HNO3.
D. The bonds that break are between N and O in NO₂ and between H
and O in H₂O.

Answers

The two statement which are true about acid rain with chemical changes are the  bonds that form are between N and O in HNO₂ and between O and H in HNO₃.The bonds that break are between N and O in NO₂ and between H  and O in H₂O.

What are chemical changes?

Chemical changes are defined as changes which occur when a substance combines with another substance to form a new substance.Alternatively, when a substance breaks down or decomposes to give new substances it is also considered to be a chemical change.

There are several characteristics of chemical changes like change in color, change in state , change in odor and change in composition . During chemical change there is also formation of precipitate an insoluble mass of substance or even evolution of gases.

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Use the equation for Boyle’s Law to calculate the following. (2pts)
A piston chamber, like a car engine, is filled with 2.00 L of nitrogen gas at 425kPa. The piston is compressed to a volume of 0.35 L.
What is now the pressure inside of the piston chamber? (Assume no gas leaked out).

Answers

According to the question the pressure inside the piston chamber is 2414.29 kPa.

What is pressure?

Pressure is a measure of the force applied to a given area. It is usually expressed in terms of force per unit area such as pascals (Pa). Pressure is an important concept in physics and is used to describe a variety of phenomena in many areas of science. Pressure is most commonly used to describe the force applied by a gas or liquid on an object. The greater the pressure, the stronger the force. It can also be used to describe forces that are applied to a surface by a solid object. Pressure can be measured with a variety of instruments such as manometers, barometers, and pressure gauges.

The equation for Boyle's Law is P1V1=P2V2, where P1 is the original pressure, V1 is the original volume, P2 is the new pressure, and V2 is the new volume. Using this equation, we can calculate the new pressure, P2, as follows:

P2 = (P1V1)/V2

P2 = (425kPa * 2.00L) / 0.35L

P2 = 2414.29kPa

Therefore, the pressure inside the piston chamber is 2414.29kPa.

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Science (middle school work)

Answers

The answers include the following:

The fossil record arranges fossils in order from oldest to youngest gives us a picture of how the organism evolve over time.A Romer's gap is when fossil stop in the fossil record.Fossils are the remains of organisms preserved in the earth that provides of life's history of earth.Index minerals are primarily found in metamorphic rocks because these rocks form at low temperature and pressure.

What is a Fossil?

This is referred to as any preserved remains, impression, or trace of any once-living thing from a past geological age.

They are the remains of organisms preserved in the earth that provides of life's history of earth and also provides more information about the evolutionary sequence and activities which took place on earth as a whole.

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give an example of false solution​

Answers

An example of false solution is a natural gas.

What is Natural Gas?

Natural gas is primarily methane with smaller quantities of other hydrocarbons.

It was formed millions of years ago when dead marine organisms sunk to the bottom of the ocean and were buried under deposits of sedimentary rock.

False solutions are those that do not actually address the problem at hand substantially but deceive people into believing that they do, while at the same time triggering other serious problems.

Examples of false solutions include:

clean development mechanisms; carbon markets; carbon capture and storage; burning trees and biomass as Bioenergy

Therefore, an example of false solution is a natural gas.

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Which of the following is NOT a safety precaution for handling radioactive material?
A. Store radioactive material in a shielded container.
B. Remove all metal before entering the containment room.
C. Use tongs or robotic arms to handle materials.
D. Monitor exposure with a film dose bandage.

Answers

The option which is not a safety precaution for handling Radioactive material is option B. Remove all metal before entering the containment room.

Radioactive substances are those which have an unstable nucleus. They achieve stability by emitting radiations like alpha particles, beta particles and gamma rays.

Working or experimenting on such substances can pose serious health risks like cancer, cardiovascular diseases etc.

Therefore following strict safety precautions while handling radioactive material is mandatory.

Certain safety measure could include

1) Protect the skin from radiation exposure by using film bandages.

2) When the radioactive sample is not in use, store them in a shielded container right away.

3) Always use gloves, tongs or remote operated robotic arms to handle the samples.

4) Do not eat, drink, smoke, or apply cosmetics in the laboratory.

5) Wear disposable clothes to reduce the risk of contamination from the samples.

Therefore, The option which is not a safety precaution for handling Radioactive material is option B. Remove all metal before entering the containment room.

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HELP ME OUT PLEASEE

4. How many molecules are in 163.395g calcium hydroxide, Ca(OH)2?

5. How many moles of bromine are in 3.68 mol sulphur tetrabromide, SBr4?

Answers

According to concept of Avogadro's number and mole concept, there are 13.28×10²³ molecules and 14.72 moles respectively.

What is a mole?

Mole is defined as the unit of amount of substance . It is the quantity measure of amount of substance of how many elementary particles are present in a given substance.

It is defined as exactly 6.022×10²³ elementary entities. The elementary entity can be a molecule, atom ion depending on the type of substance. Amount of elementary entities in a mole is called as Avogadro's number.

Number of molecules=163.395/74.09×6.023×10²³=13.281×10²³ molecules and number of moles= 3.68×4=14.72 moles.

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Pls I need help urgently. What can be predicted about meniscus formation if the adhesion and cohesion forces were equal in the graduated cylinder?

Answers

Answer: Flat. The meniscus will be flat/neutral with no curves if adhesion and cohesion are equal.

What is a key difference between chemical and nuclear reactions?

Answers

The  key difference in between the chemical and the nuclear reactions is Chemical reaction will occurs outside the nucleus and the Nuclear reaction occurs inside the nucleus.

The Chemical reaction will normally occurs outside the nucleus. The Nuclear reaction will only occurs inside the nucleus. When the chemical reactions occur the elements will hold their identity and the nuclei of the atoms also be remains unchanged. During the nuclear reactions, the nuclei of the atoms will changes completely and the new elements are formed.

The chemical reactions will be balance in terms of the mass and the nuclear reaction will occurs in the terms of the mass and the energy.

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Can you help me put this in order please i know henning Bramd go first but i need this quick

•Hennig Brand
• Sir William Ramsay
• Ernest Rutherford
• Dimitri Mendeleev
• J.J Thomson
• John Newlands
• Lothar Meyer
• Glenn Seaborg
• Robert Boyle
• Marie Curie

Answers

Scientists in their order of discoveries are  Robert Boyle,Hennig Brand, Lothar Meyer,Sir William Ramsay,Marie Curie,John Newlands,Glenn Seaborg,Ernest Rutherford, Dimitri Mendeleev,J.J Thomson.

Who are scientists?

A scientist is a person who researches to advance knowledge in an area of the natural sciences.

In classical antiquity, there was no real ancient analog of a modern scientist. Instead, philosophers engaged in the philosophical study of nature called natural philosophy, a precursor of natural science.Though Thales (circa 624–545 BC) was arguably the first scientist for describing how cosmic events may be seen as natural, not necessarily caused by gods.

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Which statement describes the formation of galaxies?

They begin in nebulas.
Heat and gases contract.
Gravity causes stars to cluster.
Dust and gases contract.

Answers

The statement that describes the formation of galaxies is "Gravity causes stars to cluster."

What is galaxies ?

Large systems of stars, gas, dust, and dark matter are known as galaxies, and they are bound together by gravity. These galaxies, which range in size from dwarf galaxies with only a few million stars to gigantic galaxies with trillions of stars, are the fundamental units of the universe.

Spiral galaxies, elliptical galaxies, irregular galaxies, and lenticular galaxies are only a few of the different sizes and shapes of galaxies. The number and configuration of a galaxy's arms, the existence of a central bulge, and the quantity of interstellar gas and dust are only a few of the distinctive features that distinguish each type of galaxy from another.

The statement that describes the formation of galaxies is "Gravity causes stars to cluster."

Galaxies form from the accumulation of gas, dust, and dark matter through the force of gravity. As the gas and dust in a galaxy cluster together, they begin to collapse under their own gravity, forming stars. Over time, these stars cluster together and form galaxies. Therefore, the correct statement that describes the formation of galaxies is gravity causes stars to cluster.

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Why is the temperature of the system increasing when there is plenty of ice still present?

Answers

Explanation:

The temperature of the system is increasing because the ice is melting and releasing energy in the form of heat. The energy released when the ice melts is greater than the energy needed to maintain the temperature of the system, causing the temperature to increase.

17. How many joules of heat are absorbed to raise the
temperature of 435 grams of water at 1 atm from
25°C to its boiling point, 100.°C?
A) 4.5 X 10^4 J
C) 2.5 X 10^7 J
B) 1.4 X 10^5 J
D) 7.4 X 10^7 J

Answers

The amount of heat absorbed to raise the temperature of 435 grams of water at 1 atm from 25°C to its boiling point, 100°C, is approximately 1.4 × 10^5 joules

What is specific heat?

Specific heat is the amount of heat energy required to raise the temperature of a substance by one unit of temperature per unit of mass. It is a physical property that helps to characterize a substance and is typically measured in units of joules per gram per degree Celsius (J/g°C) or calories per gram per degree Celsius (cal/g°C).

The amount of heat absorbed to raise the temperature of a substance can be calculated using the formula:

Q = mcΔT

where Q is the amount of heat absorbed (in joules), m is the mass of the substance (in kilograms), c is the specific heat capacity of the substance (in joules per kilogram per degree Celsius), and ΔT is the change in temperature (in degrees Celsius).

Substituting the given values, we get:

m = 435 grams = 0.435 kg

ΔT = 100°C - 25°C = 75°C

The specific heat capacity of water is 4.184 J/g°C. We can convert this to joules per kilogram per degree Celsius (J/kg°C) by dividing by 1000:

c = 4.184 J/g°C ÷ 1000 = 4.184 J/kg°C

Substituting these values, we get:

Q = (0.435 kg) × (4.184 J/kg°C) × (75°C)

Q = 140,089.2 J

Therefore, the amount of heat absorbed to raise the temperature of 435 grams of water at 1 atm from 25°C to its boiling point, 100°C, is approximately 1.4 × 10^5 joules. The answer closest to this value is option (B).

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How to solve , how many grams of KI are in 25. 0 ml of a 3. 0%(m/v) KI solution

Answers

The grams of the KI are in the 25.0 ml of a 3.0 % m/v of the KI solution is 0.75 g.

The volume of the solution = 25 mL

The mass by volume of KI = 3 % m/v

The potassium iodide solution will contain the 3.0 g of the potassium iodide for the every 100 mL of the solution.

The amount of the KI in grams is as follows :

The mass of the KI in grams = (25 mL× 3 g ) / 100 mL

The mass of the KI in grams = 0.75 g

Thus, the amount of the KI in the grams is 0.75 g in the volume of the 25 mL.

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Other Questions
Mercantilism arose largely because does anyone know the answer?!? How do I introduce a quote with a complete sentence that is followed a colon In Scene 5, as the kids sit at the lunch counter for the first time, the room falls silent. Why? The main problem in the book "Alguien est mintiendo"? To help pay for culinary school, Keiko borrowed money from her credit union.She took out a personal, amortized loan for $50,000, at an interest rate of 5.5%, with monthly payments for a term of 10 years.For each part, do not round any intermediate computations and round your final answers to the nearest cent.If necessary, refer to the list of financial formulas.(a) Find Keiko's monthly payment.$0(b) If Keiko pays the monthly payment each month for the full term,find her total amount to repay the loan.$0(c) If Keiko pays the monthly payment each month for the full term,find the total amount of interest she will pay.$0X The sum of two numbers is 37. If one of the numbers is greater by 1 than the two times the other, find the numbers. The price of nails, n, is $1.29/lb, the price of washers, w, is $0.79/b,and the price of bolts, b, is $2.39/b.PartA Write an expression to represent thetotal price of the supplies.PartB What is the total cost of buying 2 pounds of nails, 4 pounds ofwashers, and 3 pounds of bolts What is the output by the following code:for x in range (1, 10, 2): print (x + 2, end=" ")What is the output?Group of answer choices3 5 7 9 113 5 7 9 11 13 15 17 193 4 5 6 7 8 9 10 1111 9 7 5 3 : Having just won a crossword puzzle contest, you may take your prize in any of three cash flow patterns. If money is worth 20% per year to you, which pattern would you most prefer? Which pattern would you least prefer? Pattern A B $200 0 0 2 $200 0 0 YEARS 3 $200 $1,000 $400 4 $200 0 $400 5 $200 0 $400 How much money must be invested each year in a sinking fund earning 7% per annum in order to have $30,000 accumulated after 15 years? PLEASE HELPP!!!! DUE IN 2 HOURSSSS!!!!!!5) Solve.The altitude leg of a right triangle has a length of 32 cm. Its hypotenuse measures 9 cm.How long is its base leg?(A). b = 5cm(B). b = 9cm(C). b = 6cm(D). b = 7cm Please help A cereal box manufacturer changes the size of the box to increase the amount of cereal it contains. The expressions 15 + 7.6n and 11 + 8n, where n is the number ofsmaller boxes, are both representative of the amount of cereal that the new larger box contains. How many smaller boxes equal the same amount of cereal in the largebox?The larger box of cereal has as much cereal as(Type a whole number.)smaller boxes Use the map below to identify the city experiencing the conditions described. (EARTH SCIENCE)1. Showers and Thunderstorms; hot and humid: ________2. Hurricane just off the coast:________3. Center of low pressure: _______4. Cold front: ________5. Cool with highs in the low 70s: _______6. Sunny and extremely hot: _____ (100 POINTS) Use the function f(x) to answer the questions.f(x) = 16x2 + 60x + 16Part A: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)Part B: Is the vertex of the graph of f(x) going to be a maximum or a minimum? What are the coordinates of the vertex? Justify your answers and show your work. (3 points)Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph. (5 points) CAN SOMEONE HELP ME WITH THIS ASAP!!!!!!!!!! Create utilities for location and price combinations considering restrictions listed on the case study (200-level seats cannot be less than $60, 300-midcourt seats cannot be less than $35).Based on the results,1.which location & price combination is the best alternative to raise prices? Which location & price combination is the best alternative to lower prices?2. How much could administration raise 300 mid-level seat prices to give them the same level of attractiveness as the next best alternative? Should they raise the prices to the calculated level? Please explain. The width of Aubrey's bed is 40 inches and the distance between opposite corners is 85 inches. What is the length of Aubrey's bed? 7. A pot of water is heated to 200F. The table shows typical temperature readings for the pot. The room temperature is 70F.After 5 minutes the pot of water is 164F. How long will it take the water to cool to 150F? Round to the nearest minute.A. About 4 minB. About 3 minC. About 8 minD. About 6 min Youdecide to buy 1 000 of two year CD (certificate ofdeposit) University Credit Union offers 7 interest per yearMercantile Bank says that you can get 1 180 after two yearsWho offers a better deal?You can compare the future value or the interest rate First in FlightOn December 17, 1903, brothers Orville and Wilbur Wright, from Dayton, Ohio, were testing their engine-powered flying machine-the Flyerat Kitty Hawk, North Carolina. They had spent months preparing, and their first attempt three days earlier had ended in slight damage to the craft.fter repairs, they were eager to try again.With help from a hired crew, they carried the Flyer to a hilltop. It was mounted on a guiding rail and held in place with wires. Orville climbedto pilot the craft. The wires were released, and the Flyer moved down the rail, lifting quickly into the air. It climbed briefly and then landed. Theyer had flown 120 feet (36.6 meters) and was aloft for 12 seconds.After minor repairs, they tried again. With Wilbur piloting this time, the Flyer traveled 175 feet (53 meters). Another success! Still, therothers were intent on continuing. The crew hauled the craft back to the starting rail for Orville to make a third attempt. He flew a distance of00 feet (61 meters)!The brothers were still not satisfied, and Wilbur climbed aboard again. Once aloft, the Flyer wavered slightly, but Wilbur gained control andeveled the craft. Suddenly, the Flyer pitched head down to the ground. Wilbur was safe, but the Flyer suffered a damaged rudder. This time, it hadlown 59 seconds for 852 feet (260 meters). On this momentous day, the first powered, controlled airplane had taken flight!What does the passage emphasize about the Wright brothers' first flight attempts?O 1. the importance of the crewO2. the influence of the time period3. the brothers' determination to succeedO4. the changing of the brothers' strategy over time