Initially a car travels along a straight road with a speed of 35 m/s. If the brakes are applied and the speed of the car is reduced to 10 m/s in 15 s, determine the constant deceleration of the car

Answers

Answer 1

The constant deceleration of the car is -1.67 m/s². This means that the car is slowing down at a rate of 1.67 m/s².

The constant deceleration of the car can be determined by using the formula for acceleration, which is the change in velocity divided by the time taken. In this case, the initial velocity is 35 m/s and the final velocity is 10 m/s. The time taken is 15 s. Therefore, the constant deceleration of the car is:

Deceleration = (Final velocity - Initial velocity) / Time taken

Deceleration = (10 m/s - 35 m/s) / 15 s

Deceleration = (-25 m/s) / 15 s

Deceleration = -1.67 m/s²

Therefore, the constant deceleration of the car is -1.67 m/s². This means that the car is slowing down at a rate of 1.67 m/s².

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Answer 2

The constant deceleration of the car is -1.67 m/s². This means that the car is slowing down at a rate of 1.67 m/s².

The constant deceleration of the car can be determined by using the formula for acceleration, which is the change in velocity divided by the time taken. In this case, the initial velocity is 35 m/s and the final velocity is 10 m/s. The time taken is 15 s. Therefore, the constant deceleration of the car is:

Deceleration = (Final velocity - Initial velocity) / Time taken

Deceleration = (10 m/s - 35 m/s) / 15 s

Deceleration = (-25 m/s) / 15 s

Deceleration = -1.67 m/s²

Therefore, the constant deceleration of the car is -1.67 m/s². This means that the car is slowing down at a rate of 1.67 m/s².

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Related Questions

pls help!!! will give brainly!!!
What is the difference between a short-term goal and a long-term goal? Give an example of each.

Answers

Short-term goals are planned for the near future while long-term goals will take longer to complete. An example of a short-term goal is trying to get into a certain college. A long-term goal is wanting to have a big family.

1) Relative to electrons and electron states, what does each of the four quantum numbers specify?
2) Cite two important quantum mechanical concepts associated with the Bohr model of
the atom.
3) Cite two important additional refinements that resulted from the Wave-mechanical
atomic model.

Answers

Answer:

Cite two important additional refinements that resulted from the Wave-mechanical

atomic model.

updating of water and sewer systems, road and bridge closures, and public parks full of litter and decaying facilities. what the country has a problem with, it appears, is .

Answers

It appears that the country has a problem with infrastructure and public facilities maintenance.

The updating of water and sewer systems, road and bridge closures, and public parks full of litter and decaying facilities suggest that there is a lack of attention to and investment in the maintenance and improvement of these critical elements of the country's infrastructure.

This can lead to a number of problems, including health and safety risks, environmental degradation, and reduced quality of life for citizens. In addition, outdated and decaying infrastructure can also have a negative impact on the economy, as it may limit the ability of businesses and individuals to transport goods and travel effectively. To address these issues, the country may need to allocate more resources to infrastructure and public facility maintenance and improvement.

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Suppose that instead of a frame, a point P[3, 9, 5]T in space was translated a distance of d = 4,7,8 T. Find

the new location of the point relative to the reference frame

Answers

The new location of the point P[3, 9, 5]T after being translated a distance of d = 4,7,8 T relative to the reference frame is (7, 16, 13).

The new location of the point P[3, 9, 5]T after being translated a distance of d = 4,7,8 T relative to the reference frame can be found by adding the translation vector to the original coordinates of point P.

To find the new location, we can add the corresponding components of the translation vector to the coordinates of point P.

The translation vector d = 4,7,8 T represents the distances to be added to the x, y, and z coordinates, respectively.

So, the new x-coordinate of the point is 3 + 4 = 7.

The new y-coordinate of the point is 9 + 7 = 16.

The new z-coordinate of the point is 5 + 8 = 13.

Therefore, the new location of the point P relative to the reference frame is (7, 16, 13).

By adding the corresponding components of the translation vector to the original coordinates of point P, we found that the new location of the point P relative to the reference frame is (7, 16, 13).

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Do not ________________ a tool. *
-clean up
-force
-stop
-unplug

Answers

Answer:Unplug or force?
Hdsubsjsbxudnsorryyyy

a commercial refrigerator with r-134a as the working fluid is used to keep the refrigerated space at -35 c by rejecting waste heat to cooling water that enters the condenser at 18 c at a rate of 0.25 kg/s and leaves at 26 c. the refrigerant enters the condenser at 1.2 mpa and 50 c and leaves at the same pressure subcooled by 6 c. if the compressor consumes 3.3 kw of power , determine (a) the mass flow rate of the refrigerant, b) the refrigerant load, c) the cop, and d) the minimum power input to the compressor for the same refrigeration load.

Answers

At 1.2mpa pressure and 50c

What is pressure?
By pressing a knife against some fruit, one can see a straightforward illustration of pressure. The surface won't be cut if you press the flat part of the knife against the fruit. The force is dispersed over a wide area (low pressure).

a)Mass flow rate of the refrigerant
Therefore h1= condenser inlet enthalpy =278.28KJ/Kg
saturation temperature at 1.2mpa is 46.29C
Therefore the temperature of the condenser

T2 = 46.29C - 5
T2 = 41.29C

Now,
d)power consumed by compressor W = 3.3KW
Q4 = QL + w = Q4
QL = mR(h1-h2)-W
= 0.0498 x (278.26 - 110.19)-3.3
=5.074KW
Hence refrigerator load is 5.74Kg

(COP)r = 238/53
(Cop) = 4.490

Therefore the above values are the (a) mass flow rate of the refrigerant, b) the refrigerant load, c) the cop, and d) the minimum power input to the compressor for the same refrigeration load.

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What might be the effects if one of the AC unit fans stopped working? Explain in terms of energy and pressure and temperature.

Answers

Answer:

If the AC unit fan is not spinning, the first thing to check is the circuit breaker. Take a look at the circuit breaker associated with the AC unit and see if it's been tripped. A circuit breaker may trip from overheating due to outside temperatures and the motor's heat.

Tech A says that after an accident you should take measures to avoid it in the future. Tech B says that it is okay to block an exit for a shop if you are actively working. Who is correct

Answers

Technician A is the appropriate response based on the information provided in the question.

How would you define measures?

the quantity or size of something as determined by measurement. use equal amounts of the ingredients.: a yardstick, cup, or other measuring device.: a measurement unit. A foot is used to measure length.

What are basic steps?

The measurement that just employs one kind of unit is considered to be simple. minutes and hours. For instance, to convert 2 hours, 23 minutes, and 12 seconds to seconds, we must first get all 3 parameters in seconds using the conversion factors, then add them.

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How do I type my questions?

Answers

Answer:

just type it on a computer or a laptop

exactly how you made this post

Calculate LER for the same wing if we increase the span to 0. 245 m. By increasing the span, we also increase the glider weight to 0. 0523 newtons

Answers

The LER of the same wing is 0.21 using the chord values.

What is LER?

In agriculture, the term "land equivalent ratio" refers to the proportion of land area needed for monoculture (single-crop farming) to yield the same amount of yield as intercropping (polyculture).

The FAO defines the land equivalent ratio (LER) as the ratio of the area used for sole cropping to the area used for intercropping in order to produce an equal amount of yield at the same management level. The result is the sole-crop yields multiplied by the sum of the intercropped yield fractions.

We must use a chord, so I'm assuming that it is 0.045 m in length.

The formula provides the Area.

Area = span × chord

Area = 0.245 × 0.045

Area = 0.011 m²

We then divide the area obtained by the glider weight we obtain the final result.

LER = area / weight

LER = 0.011 / 0.0523

LER = 0.21

As a result, the Lee of the same wing is 0.21 using the chord values.

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Select the option below that contains the correct order or sequence of events. A) 1) Add host to subscription, 2) Use host as report source, 3) Scan hostB) 1) Use host as report source, 2) Add host to subscription, 3) Scan hostC) 1) Add host to subscription, 2) Scan host, 3) Use host as report sourceD) 1) Scan host, 2) Add host to subscription, 3) Use host as report source

Answers

The  option that has the correct order or sequence of events are;

1) Scan host.

2) Add host to subscription.

3) Use host as report source.

What are host assets?

Host assets are known to be a kind of IP addresses in a person's account. This type of assets is one that can be used as a kind of  scan, map and also to report targets.

A person can view the hosts in their account by going the  Assets panel to  the Host Assets. One can add new hosts by the use of the New menu. The person can also only carry out actions like scanning, mapping and reporting on one's hosts.

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Question 4. What are the sign, mantissa, and exponent, in binary, for a single precision 32 bits IEEE754 floating point representation of 58.75? (0.25 Mark) - Show your work

Answers

The IEEE-754 standard defines a 32-bit word, as well as a 64-bit word and a 128-bit word, for the encoding of single precision floating-point numbers.

The 32-bit word is defined as follows:

A floating-point number is represented in a binary format using three fields: sign, exponent, and mantissa.

For example, we'll use the number 58.75 to show how the sign, mantissa, and exponent are represented in a 32-bit single-precision IEEE-754 floating-point number.

For a single precision 32 bits IEEE754 floating point representation of 58.75, the sign, mantissa, and exponent in binary are as follows:

Sign: 0

Mantissa: 11101100000000000000000

Exponent: 10000011

Convert the decimal number 58.75 to binary representation.58 = 32 + 16 + 8 + 2 = 111010.75 = 0.5 + 0.25 = 0.011

Using the above calculation,

we get: 58.75 = 111010.011For the IEEE-754 standard, we must normalize this number.

So, we have:111010.011 = 1.11010011 × 2^5Thus, the sign bit will be 0 since the number is positive. For mantissa, we extract the digits to the right of the binary point in the normalized representation, which is 11010011000000000000000. And finally, we must calculate the exponent bias, which is 127 for a 32-bit word. In binary, this value is 01111111. The exponent field is calculated by adding the bias to the exponent. In this case, 5 + 127 = 132, which in binary is 10000100. The final binary representation of 58.75 is:0 10000100 11010011000000000000000

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Familiarize yourself with 74HC595 shift register and devise a method of using this device to implement 4 output port using shift register. The output port will drive 4 individual LEDs. Using shift register, write the routines required to blink 4 LEDs simultaneously every 1 second.

Answers

The 74HC595 shift register can be used to implement 4 output ports to drive 4 individual LEDs. By using the shift register's serial input and output capabilities, we can control the LEDs and create a routine to blink them simultaneously every 1 second.

The 74HC595 is an 8-bit shift register with a serial input and parallel output. It allows us to control multiple outputs using only a few microcontroller pins. To implement 4 output ports for the LEDs, we can connect the output pins of the shift register to the LED anodes and connect the cathodes to ground through appropriate current-limiting resistors.

To blink the LEDs simultaneously, we can use the shift register's serial input to load a pattern of 4 bits representing the desired LED states. By shifting the bits in and then latching the output, we can update the LED states. To achieve a 1-second blink interval, we can use a timer interrupt or a delay function in the microcontroller code.

The routine would involve loading the desired LED states (e.g., all LEDs on or all LEDs off) into the shift register, shifting the bits in, and then latching the output. After the desired delay of 1 second, the routine can repeat, toggling the LED states accordingly.

By repeating this routine, the 4 LEDs connected to the output ports of the shift register will blink simultaneously every 1 second.

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What is computer programming

Answers

Answer:

Computer programming is where you learn and see how computers work. People do this for a living as a job, if you get really good at it you will soon be able to program/ create a computer.

Explanation:

Hope dis helps! :)

Determine the normal stress and shear stress acting on the inclined plane ab. Solve the problem using the stress transformation equations. Suppose that τ = 5. 5 ksi

Answers

The normal stress on the inclined plane ab is σ = 2.0625 ksi and the shear stress on the inclined plane ab is τ = 1.375 ksi.

How did we get the values?

Determining the normal stress and shear stress acting on the inclined plane ab, use the stress transformation equations.

The stress transformation equations relate the normal stress, σ, and shear stress, τ, on an inclined plane with the corresponding normal and shear stresses acting on a plane perpendicular to the inclined plane. The equations are:

σ = σn cos²θ + σs sin²θ ± 2τnsinθcosθ

τ = (σn - σs) sinθcosθ ± τn cos²θ ± τs sin²θ

where θ is the angle between the inclined plane and the plane of reference, σn and σs are the normal stresses acting on the plane of reference, τn and τs are the shear stresses acting on the plane of reference, and τns is the shear stress acting on the inclined plane.

Given that τ = 5.5 ksi and σ and τ are to be determined on the inclined plane ab. Assume a plane of reference perpendicular to the inclined plane ab with angle θ in between.

The angle θ between the inclined plane and the plane of reference is the complement of the angle of inclination, so θ = 90° - 30° = 60°.

Assuming that there are no normal stresses acting on the plane of reference, so σn = 0. Therefore, the stress transformation equations simplify to:

σ = σs sin²θ ± 2τnsinθcosθ

τ = (σs/2) ± τn cos²θ ± (τ/2)sin²θ

Solve for σs and τn by using the given value of τ and the fact that there are no normal stresses acting on the plane of reference:

τ = τns = 5.5 ksi

σs = τ/2 = 2.75 ksi

τn = 0

Substitute these values into the stress transformation equations to obtain the normal stress and shear stress on the inclined plane ab:

σ = σs sin²θ = 2.75 ksi sin²60° = 2.75 ksi (0.75) = 2.0625 ksi

τ = (σs/2) ± τn cos²θ ± (τ/2)sin²θ = 2.75 ksi/2 = 1.375 ksi

Therefore, the normal stress on the inclined plane ab is σ = 2.0625 ksi and the shear stress on the inclined plane ab is τ = 1.375 ksi.

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why you so mean to me? leave my questions please. answer them

Answers

Answer: Why is even here then.

Explanation:

Nebraska Furniture Mart sells 5,500 chairs of a particular style each year. The chairs are purchased from the factory at a cost of $45. The accounting department has estimated the annual inventory carrying cost rate to be 0. 4. Labor, mail, and receiving costs per order are estimated at $125. Determine the optimal order quantity for Nebraska Furniture Mart

Answers

The optimal order quantity for Nebraska Furniture Mart is 6,250 chairs. This can be calculated by using the Economic Order Quantity (EOQ) formula:

EOQ = √(2*Annual Demand*Order Cost) / Carrying Cost

EOQ = √(2*5,500*125) / 0.4

EOQ = 6,250 chairs

What is EOQ?

Economic Order Quantity (EOQ) is a model that helps organizations determine the optimal quantity of goods to order in order to minimize the overall costs associated with inventory management. EOQ models look at the balance between ordering costs, which are the costs associated with placing an order for goods, and holding costs, which are the costs associated with keeping the goods in inventory.

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True or false?Inventory-risk costs are a form of carrying costs.

Answers

or...................

Answer:

i believe it is true

Explanation:

in t-sql, all arguments start with the ampersand (&) symbol.
T/F

Answers

It is FALSE to state that in t-sql, all arguments start with the ampersand (&) symbol.

How is this so?

In T-SQL (Transact-SQL), the ampersand (&) symbol is not used to indicate the start of arguments. Instead, in T-SQL, parameters or arguments are typically specified using the at sign (at) symbol.

For example, when declaring variables or passing parameters to stored procedures, the at sign (at) is used as a prefix to denote the parameter name.

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Techm digital definition comprises of

Answers

Answer:

Below is the response to the given question:

Explanation:

The relevant services supplied through TechMahindra Digital Services Provider are among the different options given in n inquiry. This is a digital company that has offered its customers an end-to-end solution that digitalizes all the requirements for client operations. It offers digital solutions, services cloud-based, digital marketing strategies, and then all client needs.

A method of metal-working in which the metal is continually hammered into the desired shape is called?

Answers

Answer:The method of metal-working in which the metal is continually hammered into the desired shape is called forging.

Explanation:

Need clear written step by step answers please.
Trimble R3 GPS system has an accuracy of + (5 mm + 1 ppm) in the vertical direction. What is the accuracy we are expected to get in the vertical direction for the location of a point that is 5 km away from the reference station? Assume that no other types of errors exist.

Answers

The expected accuracy in the vertical direction for a point located 5 km away from the reference station using the Trimble R3 GPS system, assuming no other errors, is approximately 6.5 mm.

The accuracy of the Trimble R3 GPS system in the vertical direction is given as + (5 mm + 1 ppm). Let's break down this accuracy specification. The "+ (5 mm + 1 ppm)" part means that there is a fixed error of 5 mm added to a proportional error that depends on the distance. The "1 ppm" stands for one part per million, which means the proportional error increases by 1 ppm for every 1 million units of distance.

To calculate the expected accuracy for a point 5 km (or 5,000 meters) away from the reference station, we need to consider both the fixed and proportional errors. The fixed error of 5 mm remains constant regardless of the distance. The proportional error can be calculated by multiplying the distance by the ppm value: (5,000 meters * 1 ppm) = 5 mm.

To find the overall expected accuracy, we add the fixed error and the proportional error: 5 mm + 5 mm = 10 mm. Therefore, the expected accuracy in the vertical direction for a point located 5 km away from the reference station using the Trimble R3 GPS system, assuming no other errors, is approximately 10 mm or 0.01 meters.

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How much horse power does a Lamborghini have

Answers

The Lamborghini SCV12 has 830 horse power.

Answer:

Countach - 375 Huracan - 610 to 630Aventador -  729 to 759Urus - 641Gallardo - 543 to 562Centenario - 770 SCV12 - 830

Explanation:

It really all depends, it varies from 375 to 830, you can't mark one as " Lamborghinis have this much hp always " seeing it fluctuates so much car to car

PLEASE HELP I NEED THIS ASP!!

PLEASE HELP I NEED THIS ASP!!

Answers

Answer:

up up down down

Explanation:

left right left right b a select start

Technician A says that if drum brake shoes become saturated with gear oil or grease, they should be replaced. Technician B says that drum brake shoes can be cleaned and reused if the lining becomes contaminated with gear oil or grease. Who is correct

Answers

Technician A is wrong and Technician B words that drum brake shoes need to be cleaned and reused when lining is stained with gear oil or grease is correct.

Can contaminated brake shoes be reused?

In a situation when they are said to be soaked in anything that is bad then one can be said to not reuse them but in other cases, it can be reused.

Note that Technician A is wrong and Technician B words that drum brake shoes need to be cleaned and reused when lining is stained with gear oil or grease is correct.

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Anything you want to do in Hootsuite can be found in the ________, with the main workspace in the _________?
Settings; Streams
Sidebar; center
Header; Sidebar
Nav-panel; dashboard

Answers

Answer:

Anything you want to do in Hootsuite can be found in the ___ Sidebar_____, with the main workspace in the ___center______

Sidebar; center

Explanation:

The main workspace of the Hootsuite is located in the center.  The sidebar is where the core access to the Hootsuite functionality, like Streams, Inbox, Planner, Analytics, Publisher, and the App Directory, is obtained.  Hootsuite is a media management platform for curating content, scheduling posts, managing team members, and measuring performances.

To avoid the problem of interference in a pair of spur gears using a 20 ∘
pressure angle, specify the minimum number of teeth allowed on the pinion for each of the following gear ratios. (a) 2 to 1 (b) 3 to 1 (c) 4 to I (d) 5 to 1

Answers

The minimum number of teeth allowed on the pinion for each gear ratio to avoid interference in a pair of spur gears with a 20° pressure angle are: (a) 40 teeth (b) 60 teeth (c) 80 teeth (d) 100 teeth.

What is the minimum number of teeth required on the pinion to prevent interference in a pair of spur gears with a 20° pressure angle and the following gear ratios?

To avoid interference in a pair of spur gears using a 20° pressure angle, the minimum number of teeth allowed on the pinion depends on the gear ratio. The pressure angle refers to the angle between the line of action and a line perpendicular to the gear teeth. When the pressure angle is 20°, it is necessary to ensure that there is sufficient clearance between the teeth to avoid interference.

For a gear ratio of 2 to 1, the pinion should have a minimum of 40 teeth. This means that the larger gear, known as the gear wheel, should have at least twice the number of teeth, in this case, 80 teeth.

For a gear ratio of 3 to 1, the pinion should have a minimum of 60 teeth, and the gear wheel should have 180 teeth.

For a gear ratio of 4 to 1, the pinion should have a minimum of 80 teeth, and the gear wheel should have 320 teeth.

For a gear ratio of 5 to 1, the pinion should have a minimum of 100 teeth, and the gear wheel should have 500 teeth.

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Which emission is created by the heat in the combustion process?

Answers

Water vapor and carbon dioxide!

Answer:

water vapor and carbon dioxide.

Explanation:

Hope this helps :D

Question 2
For the circuit above in question 1, what is the most negative value v_{s}v
s

can take
before the amplifier saturates? Express your answer in mV and omit
units from your answer.

Answers

The most negative value can take before the amplifier saturates. Suppose, Consider a non-ideal op amp where the output can saturate. Hence, The most negative value of is 0.5 mV

Can take before the amplifier saturates?

The most negative value v2 can take before the amplifier saturates.Suppose, Consider a non-ideal op amp where the output can saturate.The open voltage gain is2*10 4 where,According to figure,

The negative output value is

v0 = -10V

We need to calculate the most negative value of  

Using given formula

v0 = -A(Vs)

Where, = output value

A = voltage gain

Put the value into the formula

-10 = -2 *10 4* Vs

vs = 10/2*10  4

Vs = 0.0005v

Vs = 0.5MV

Hence, The most negative value of  is 0.5 mV.

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The most negative value can take before the amplifier saturates. Suppose, Consider a non-ideal op amp where the output can saturate. Hence, The most negative value of is 0.5 mV

Can take before the amplifier saturates?

The most negative value v2 can take before the amplifier saturates. Suppose, Consider a non-ideal op amp where the output can saturate. open voltage gain is2*10 4 where, According to figure,

The negative output value is

v0 = -10V

We need to calculate the most negative value of  

Using given formula

v0 = -A(Vs)

Where, = output value

A = voltage gain

Put the value into the formula

-10 = -2 *10 4* Vs

vs = 10/2*10  4

Vs = 0.0005v

Vs = 0.5MV

Hence, The most negative value of  is 0.5 mV.

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When an arbitrary substance undergoes an ideal throttling process through a valve at steady state, (SELECT ALL THAT APPLY) inlet and outlet mass flowrates will be equal. inlet and outlet specific enthalpies will be equal. inlet and outlet pressures will be equal. inlet and outlet mass flowrates will be equal. inlet and outlet specific enthalpies will be equal. inlet and outlet temperatures will be equal.

Answers

Answer:

15x

Explanation:

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A hawk building its nest on an arm of a saguaro cactus is a sign of? A. commensalismB. mutualismC. paraitismD. predation What is Newtons Second Law father's mary has 5 children the first one is nana the second is nini the third is nono and the forth is nene so who's the fifth one?this question is a challenge so i'm waiting for the answers Why did Powhatan begin fighting with the Jamestown colonists She asked",what time is it"? I have 1 week of school left and I want to ask a boy for his # to ask him out but I don't know how to ask we have talked before but I don't know if he likes me? Help me I only have 3 more days left to ask him! explain the interrelationship among population, environment and development.(5 marks question) A pair of parallel lines is cut by a transversal. What are the measures of the two marked angles?3x + 710x + 17O 11.29 degrees and 31.3 degreesO 137 degrees and 137 degreesO 137 degrees and 43 degreesO 47 degrees and 47 degrees True/False: behavioral economics can be used to help push people into decisions that could be in their long run self-interest without depriving them of individual choice. A family has two cars. The first car has a fuel efficiency of 15 miles per gallon of gas and the second has a fuel efficiency of 35 miles per gallon of gas. During one particular week, the two cars went a combined total of 1350 miles, for a total gas consumption of 50 gallons. How many gallons were consumed by each of the two cars that week? Please help, thank you HELP PLS! At a raffle, 100 tickets are sold for 1 prize of $100 and 3 consolation prizes of $20. What prizes should the tickets be sold for if the goal is to make the raffle a fair game? YALL PLEASEE HELP MEE i am very confused and I need to pass this During which step of the six sigma dmaic procedure are current processes modified or redesigned to meet new performance objectives? define measure analyze improve control Convert the following recipe for 12 portions so that it yields 60 portions.Stir Fried Chicken3 lb chicken 6 oz. soy sauce 1 lb. green peppers1/2 lb. scallions 2 oz ginger2 cups Water according to the hadith reviewed in the textbook, mizmars: group of answer choices a) are halal. b) are haram. c) should be paired with frame drums. d) should be paired with hand drums. Find the margin of error for the given values of c =0.95 ,=3.8 , and n=100 in resting individuals, which vessels serve as a large blood reservoir from which blood can be quickly diverted to other vessels as needed? The proportion of pepperoni pizza orders on a randomly selected day at a local pizza shop is approximately normal with mean 0.25 and standard deviation 0.02.Let X = the proportion ofpepperoni pizza orders on a randomly selected day.label the mean and one, two, and three standard deviations on each side of the mean.Use the 68-95-99.7 rule to approximate. Be sure to show your work. P(X > 0.29)The probability that the proportion of pepperoni pizza orders is between 0.21 and 0.27What is the probability that the proportion of pepperoni pizza orders is between 0.24 and 0.28?What is the probability that the proportion of pepperoni pizza orders is greater than 0.30? _____ theory works well for making economic decisions but not for making everyday decisions.