The engine torque y (in foot-pounds) of one model of car is given by y=−3.75x2+23.2x+38.8, where x is the speed (in thousands of revolutions per minute) of the engine. a. To the nearest ten, what is the engine speed that maximizes torque? revolutions per minute To the nearest hundredth, what is the maximum torque? ft-lbs Question 2

Answers

Answer 1

Answer:

Step-by-step explanation:

If the engine torque y (in foot-pounds) of one model of car is given by y=−3.75x^2+23.2x+38.8

The engine speed is at maximum if dy/dx = 0

dy/dx = -2(3.75)x+23.2

dy/dx = -7.5x + 23.2

since dy/dx = 0

0 =  -7.5x + 23.2

7.5x = 23.2

x = 23.2/7.5

x = 3.093

Hence the maximum torque is 3.09 rev/min


Related Questions

9/10 de las razas alienígenas piensan que invadir la Tierra es una mala idea. ¿Qué porcentaje de razas alienígenas piensa que invadir la Tierra es una mala idea?

Answers

Answer:

90%

Step-by-step explanation:

De la pregunta anterior, se nos ha dado la fracción de razas alienígenas que piensan que invadir la Tierra es una mala idea, que es = 9/10

El porcentaje se calcula como:

9/10 × 100

= 90%

Por lo tanto, el porcentaje de razas alienígenas que piensan que invadir la Tierra es una mala idea es del 90%.

A teacher is buying bags of chips for a grade-level picnic. The teacher wants to spend at most $36 on chips.Each bag of costs 2.95.

Which inequality represents the number of bags of chips,x, the teacher can purchase?​

Answers

It would be y=2.95x+36

An inequality that represents the number of bags of chips, x, the teacher can purchase is [tex]2.95x \leq 36[/tex].

Let the number of bags of chips be x.

Given the following data:

Total amount spent = $36Cost of each bag of chips = $2.95

To write an inequality that represents the number of bags of chips, x, the teacher can purchase:

In this exercise, you're required to write a mathematical expression to represent the total number of bags of chips (x) that a teacher can purchase without exceeding his or her budget of $36.

Translating the word problem into an algebraic expression, we have;

[tex]2.95x \leq 36[/tex]

Find more information: https://brainly.com/question/4728821

The smiths previously lived in a house that had 1450 sq ft of space. The sq ft of their new home is 3800 sq ft. What is the percent increase of their living space?

Answers

Answer:

162.1%

Step-by-step explanation:

Given that:

Size of previous living space = 1450 sq ft

Size of new living space = 3800 sq ft

% increase in living space ;

Increase in living space = 3800 - 1450 = 2350 sq feet

(Increase / previous size) * 100%

(2350 / 1450) * 100%

1.6206 * 100%

= 162.06%

= 162.1%

Which is NOT true?
A. 16 + 3 = 11 + 8
B. 16 = 16
C. 16 - 4 = 7 + 6
D. 16 = 19 - 3

Answers

Answer:

c

Step-by-step explanation:

16-4=12

7+6=11

The false statement is;

C. 16 - 4 = 7 + 6

Given that;

The mathematical expression is;

A. 16 + 3 = 11 + 8

B. 16 = 16

C. 16 - 4 = 7 + 6

D. 16 = 19 - 3

We have to state the false statement.

What is an expression?

Expression in math is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The mathematical expression is;

A. 16 + 3 = 11 + 8

Left hand side,

16 + 3 = 19

Right hand side,

11 + 8 = 9

Left hand side = Right hand side

Hence, This is true.

B. 16 = 16

Left hand side = Right hand side

Hence, This is true.

C. 16 - 4 = 7 + 6

Left hand side;

16 - 4 = 12

Right hand side,

7 + 6 = 13

Hence, This is false.

D. 16 = 19 - 3

Left hand side;

16

Right hand side,

19 - 3 = 16

Left hand side = Right hand side

Hence, This is true.

Therefore, The false statement is;

C. 16 - 4 = 7 + 6

Learn more about the mathematical expression visit:

https://brainly.com/question/19025984

#SPJ2

Please help!! I have to submit soon!

Answers

Answer:

B

Step-by-step explanation:

Mark me as brainliest please :)

A plane is traveling at a constant speed of K miles per hour. Which coordinate is
represented on the graph?


A. 1,K
B. K,K
C. K,1

Brainly

Answers

Answer:

Option (A)

Step-by-step explanation:

Plane is travelling at a constant speed = K miles per hour

K = [tex]\frac{\text{Distance}}{\text{Time}}[/tex]

Distance = k(Time)

For Time of traveling = 1 hour

Distance traveled = k × 1

                              = k miles

Therefore, k miles will be traveled in one 1 hour and ordered pairs of the given point on the line will be (1, k)

Option (A) will be the correct option.

Please help ASAP I’ll give top rating

Answers

Answer:

I honestly have no clue what  the answe is

Step-by-step explanation:

tell your teacher "should people be penelised for something they didnt do" Teacher-"No that is unfair" you-"i didnt do my work"

They are opposite to each other on different angles but they are the same

Triangle ABC has vertices at A (1,-3), B (3,0)x and C (5,-3). What is the distance from vertex B to the midpoint of AC?

Answers

Answer:

The distance from vertex B to the midpoint of AC is 3 units

Step-by-step explanation:

we are given a triangle with vertices  A (1,-3), B (3,0) and C (5,-3).

Mid point of of AC  (x,y) =  ( 1+5/2 , -3 -3/2)

                                     = ( 6/2 , -6/2)

                                     = (3 , -3)

Distance formula = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]

                              = [tex]\sqrt{(3-3)^2 + (0 + 3) ^2}[/tex]

                               = [tex]\sqrt{(3)^2}[/tex]

                                = 3 units

Will mark brainliest to answer with explanation

In a music competition, a participant has to score a total of at least 40 points in the first four rounds combined to move on to the fifth and final round. Glenn scored 4 points in the first round. He then went on to score additional points in the second, third, and fourth rounds. In each of those rounds, his score was identical. Which inequality best shows the number of points, p, that Glenn scored in each of the second, third, and fourth rounds if he earned a place in the finals?

4 + 3p ≤ 40
4 + 3p ≥ 40
4p + 3 ≥ 40
4p + 3 ≤ 40

Answers

Answer:

4 + 3p ≥ 40

Step-by-step explanation:

4 points in the first round plus 3p (identical scores) has to be at least 40 points or higher to move on.

The subject of the formula below is y

y=4x+3

Rearrange the formula to make x the subject

Answers

Answer:

x = (y - 3)/4.

Step-by-step explanation:

y = 4x + 3

y - 3 = 4x

x = (y - 3)/4.

Step-by-step explanation:

y=4x+3

all divide by 3

4x=y/3

cross multiple

12x=y

divide both sides by 12

therefore, x is equal to y/12

help me!!! its geometry.. plz help and thank you!!

Answers

Answer:

1. m<1 + <2 = m<4; given

2.  m<3 + m<4 = 180; linear pair postulate

3. m<1 +m<2 + m<3 = 180; substitution property

1. <1 is congruent to <4; given

2. <1 is congruent to <2, <3 is congruent to <4; vertical angle congruency theorem

3. <2 has to be congruent to <3; transitive property

Step-by-step explanation:

A sea turtle was
swimming 80 feet below
sea level. If it swims to the
surface for air, what is its
new position?

Answers

Answer:

0

Step-by-step explanation:

anything below sea is negative and anything above sea level is positive. but you are at sea level so 0

Answer:

0

Step-by-step explanation:

Because he was at -80 the they dove up positive 80 so that would equal 0

FREEPOINTSFREEPOINTSFREEPOINTSFREEPOINTSFREEPOINTSFREEPOINTSFREEPOINTSFREEPOINTSFREEPOINTSFREEPOINTSFREEPOINTSFREEPOINTSFREEPOINTSFREEPOINTSFREEPOINTSFREEPOINTSFREEPOINTS​

Answers

Lnockfousoudoucojvpufyx

Is there anything needed for this question? I'm not willing to take "free points"

Find the slope of the line.
y = 3/4x + 207

Answers

m = 3/4
Remeber y = mx + c

find the slope of a line parallel to each given line y = 1

Answers

Don’t take my word for it but if there’s no x then it might be undefined.
Sorry if I’m incorrect

Answer:

its undefined i believe. theres no x the slope would be 0 but i'm not sure

Step-by-step explanation:

Which is a different way to express 7 ( y+ 6) ?

Answers

Im not sure if this answers your question, there isn't much detail.

If we were to do the distrubitive property -- 7y+42

A banker earns a $75,000 annual salary, a 2,35% commission on any approved loans for the bank’s business customers, and a fee of $3.75 for each application processed. If the banker has a total of 2.8 million in approved business loans and processes 2,750 applications this year, what are the banker’s earnings rounded to the nearest dollar ??

Answers

Answer:

Amount earned = $151,113

Step-by-step explanation:

Here, we are interested in calculating the banker’s earnings rounded to the nearest dollar;

We proceed as follows; we have the following;

1. Annual salary of $75,000

2. 2.35% on approved loans.

Approved loans = 2.8 million

Commission = 2.35/100 * 2.8 million = $65,800

3. $3.75 for each processed loan application

Total = 2750

Amount = 3.75 * 2750 = $10,312.50

Total amount earned is thus;

$75,000 + $65,800 + $10,312.50 = 151,112.5 = 151,113 to the nearest dollar

from the diagram, identify a pair of corresponding angles

i need helppp!

Answers

Answer:

2 and 6, 1 and 5

Step-by-step explanation:

Answer:

1&5

Step-by-step explanation:

what is 0.3 + 0.27 is it 30?

Answers

Answer:

0.3+0.27=0.57

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

0.3-0.27=0.57

hope this helps :3

if it did pls mark brainliest

Write an equation for the line?

Answers

Answer:

y = 2x + 3

Step-by-step explanation:

Given:

(2, 7) and (0, 3)

Find the slope between the two points:

(x1, y1) = (0, 3)

(x2, y2) = (2, 7)

(y2 - y1)/(x2 - x1)

(7 - 3)/(2 - 0)

4/2 = 2

m = 2

y = mx + a

y = 2x + a

Use one of the two points to find a (I will use point (2, 7):

7 = 2(2) + a

7 = 4 + a

a = 3

Slope-intercept Form: y = 2x + 3

Point-slope Form: y - 3 = 2x

Point-slope Form: y - 7 = 2(x - 2)

General equation: 2x - y + 3 = 0

You are riding your scooter to a town that is 120 miles away and you can maintain a speed of 30 mph. How long will it take you?

Answers

Answer:

4 hours

Step-by-step explanation:

120 ÷ 30 = 4

Hope this helps. Pls give brainliest.

Joshua ran 1.45 miles, and Jasmine ran 1.5 miles who Ran Farther?

Answers

Jasmine ran faster because 1.45 is less than 1.50 which can also be written as 1.5

Answer:

Jasmine

Step-by-step explanation:

Jenna is putting a ribbon around the border of a square frame. The area of the frame is 196 square inches. How long will the ribbon need to be in order to go around the whole frame?

Answers

Answer: 56 inches

Step-by-step explanation:

Given that:

Area of square frame = 196 in²

Area of a square = a²

Where a = side length

Hence side length (a) of the square :

a² = 196

a = √196

a = 14

To find the length of the ribbon required :

Find the perimeter of the square :

Perimeter of a square = 4a

= 4 * 14

= 56 inches

FRER POINTS ANSWR NOW........

Answers

Answer:

Hey I’m early and actually get points

Step-by-step explanation:

Can somebody please help me answer this question

Answers

Answer:

18

Step-by-step explanation:

eeeeeeeeeeeeeeeeeeeeeeeeeva fast answer

Answers

Answer:

51

Step-by-step explanation:

find the percent for each (34 and 33) subtract from their whole (220 and 170) then subtract from each other

podem me ajudar é urgenteeeee

Resolva o sistema 3x + y = 3 e 3x + 4y = 30. O valor de y é igual a:

a)9
b)3
c)2
d)1
03. Se x = 5y e x + 3y = 16, qual o valor da variável y:

a)1
b)2
c)3
d)4

Answers

Answer:vTerm of endearment making her audience feel as though she is part of her family. Also a feeling of familiarity which will make her audience more likely to listen and acknowledge what she has to say with an open mind.

this is true because the explanation gives us an answer as long

Step-by-step explanation: Term of endearment making her audience feel as though she is part of her family. Also a feeling of familiarity which will make her audience more likely to listen and acknowledge what she has to say with an open mind.Term of endearment making her audience feel as though she is part of her family. Also a feeling of familiarity which will make her audience more likely to listen and acknowledge what she has to say with an open mind.Term of endearment making her audience feel as though she is part of her family. Also a feeling of familiarity which will make her audience more likely to listen and acknowledge what she has to say with an open mind.Term of endearment making her audience feel as though she is part of her family. Also a feeling of familiarity which will make her audience more likely to listen and acknowledge what she has to say with an open mind.Term of endearment making her audience feel as though she is part of her family. Also a feeling of familiarity which will make her audience more likely to listen and acknowledge what she has to say with an open mind.

Given the two points (0,4) and (2, 6), what would the numerator of the equation for slope be?

2 - 0
6 - 2
2 - 4
6 - 4

Answers

6-4 because the equation for slope is m=y2-y1/x2-x1

Answer:

6-4

Step-by-step explanation:

You got the 6 from the (2, 6) and you got the 4 from the (0, 4). The numerator is always (I think) the second number.

Hope this helps!!

so ive been trying to figure this out but i cant!

Answers

Answer:

This is a linear graph.

Step-by-step explanation:

Since the x values increase at a constant of 1. The y-values have a 1st difference of -4 which means the graph is linear.

i think it is y=-4x+-3

Solve for y, Angle Q and Angle S

Answers

Answer:

hope

Step-by-step explanation:

Other Questions
give me a free trial Eight bottles of soda and four bags of chips cost $16. Six bottles of soda and 7 bags of chips cost $14. How much does a bottle of soda cost? How much does a bag of chips cost? Choose the best Spanish word to complete the sentence._____ (That) sndwich es grande.EseEsaEsteEsta ________ Invaded the Minoan Island of Crete? 1. Sumerians 2.Egyptian 3.Mycenaeans 4.Chinese Please help! This is due today! (10 Points)7th Grade ELA1) Which is the best example of someone speaking in earnest? A. Miriam exaggerated when she said the wind had nearly knocked her down. B. Brad pretended that school was closed to see whether he could trick anyone. C. Consuelo politely praised the movie even though she didn't enjoy it. D. Dan apologized sincerely for the trouble he had accidentally caused.2) In which circumstance is it most accurate to describe a rumor as dispelled? A. when people have kept the rumor from those involved B. when people have shared the rumor with others C. when the rumor has been proven untrue D. when the rumor upsets those involved3) Which of the following is a compound sentence? A. The changed Scrooge always celebrated Christmas with enthusiasm. B. When Scrooge awoke on Christmas morning, he was grateful for Marley's help. C. Scrooge made amends for his unkindness, and everyone responded warmly to him. D. Although the Cratchits had no idea where the huge Christmas turkey came from, they were delighted. A scientist wants to increase the chance of pregnancy in mice. He gives the mice a hormone that causes them to produce more gametes. Which of the following statements justifies which process the cells went through after the hormone injections? What is sub category best fits applaud, cheer,observe, consume Why are psychologists concerned with our senses? What connection do senses and psychology have? PLEASE HELP ME OUT WILL MARK BRAINLIEST What do you think is the difference between HEAT & TEMPERATURE? Maura is going on a plane. She can't have a carry-on backpack that weighs more than 10 pounds. She weighed the items she wants to pack on a sensitive scale: book: 5.142 pounds, jacket: 3.6 pounds, backpack: 1.28 pounds. What is the total weight of these items? If all of these items are in her backpack, can she take all of these things? The price of apples is $3.60 for 3 pounds. Write the price as a unit rate. Which expression is not equivalent to the other three?O 2x + 2+ 2x + 3x - 8O 4 + 7x - 2O-2 + 5x + 2x - 4O ex-X-6 how to speak spanish A school assembly had 25 students in attendance, and 20% of them were first-graders. How many first-graders were at the assembly? Whats 2/3 divided by 4 To celebrate the first day of school, Reagan brought in a tray of caramel brownies and walnut brownies. The tray had a total of 20 brownies, of which 10% were caramel. How many caramel brownies did Reagan bring? samantha needs to bake at least 120 pot pies to sell at her restaurant. she can bake 12 pot pies per hour and 15 veggie pot pies per hour.write an inequality that represents the situation. let X be the number of hours she spends making chicken pot pies and y be the number of hours she spends making veggie pot pies. I need help with this problem Which of the following men used sketches based on telescopic imagery to present his findings in astronomy?GalileoEscherAldrinCopernicus