1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
yan [13]
2 years ago
10

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
Mathematics
1 answer:
Stels [109]2 years ago
8 0

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

You might be interested in
Two dice are tossed together. What is the probability of getting an odd number on the second die and a total of five?
wolverine [178]

Probability = (number of ways to succeed) / (total possible outcomes) .

The total possible results of rolling two dice is

   (6 on the first cube) x (6 on the second one) = 36 possibilities.

How many are successful ?  I need you to clarify something first.
You said that the 'second die' shows an odd number.  When a pair
of dice is rolled, the problem usually doesn't distinguish between them. 
And in fact, you said that they're "tossed together" (like a spinach and
arugula salad ?) so I would understand that they would lose their identity
unless they were, say, painted different colors, and we wouldn't know
which one is the second one.

Oh well, I'll just work it both ways:

First way: 
Two identical dice are tossed.
The total is 5 and ONE cube shows an odd number.

How can that happen ?

1 ... 4
4 ... 1
3 ... 2
2 ... 3         

Four possibilities.  Probability = 4/36 = 1/9 = 11.1% .

=======================================

Second way:
 
A black and a white cube are tossed together.
The total is 5 and the white cube shows an odd number.

How can that happen:

B ... W
4 .... 1
2 .... 3

Only two possibilities.  Probability = 2/36 = 1/18 = 5.6% .

3 0
3 years ago
7x+17=7x-17 is this an identity, conditional or inconsistent equation
miv72 [106K]
7x + 17 = 7x - 17
7x + 17 - 7x = 7x - 17 - 7x
17 = -17

Inconsistent: for no value of x is the above equation true. 17 ≠ -17.

Hope this helps! :)
7 0
3 years ago
Find the value of each variable<br> x = <br> y=
Karolina [17]

Answer:

x=9

y=9\sqrt{2}

Step-by-step explanation:

This is a special type of triangle known as a 45-45-90 triangle.

The ratio for the sides of this triangle are x:x:x\sqrt{2}

Meaning that the two sides other than the hypotenuse are equal, so in this triangle x=9 because it is not a hypotenuse.

The hypotenuse, however, is the value of one side multiplied by \sqrt{2}.

In this case it is 9, so 9*\sqrt{2} = 9\sqrt{2}

7 0
2 years ago
Write a formula for fogoh, where f(x) = x + 1, g(x) = - 3x, and h(x) = 5 - X.<br> (fogoh)(x) =
Marina86 [1]

Step-by-step explanation:

f(x) = x + 1

g(x) = -3x

h(x) = 5-x

find fogoh

first we find fog

f(g(x)) = -3x + 1

then we find fogoh = -3(5-x ) +1

= -15 + 3x +1

= 3x -14

3 0
3 years ago
PLEASE HELP JUST KINDA CONFUSED ON THIS ONE I WILL MARK AS BRAINLIEST
WARRIOR [948]

Answer:

1 milliliter is 20 drops.

4 0
2 years ago
Read 2 more answers
Other questions:
  • If an 8 inch dimension is reduced to 2.5 inches, what is the percentage of reduction?
    15·1 answer
  • A line passes through (-3,-5) and (5,-4) write equation in point slope form
    7·1 answer
  • Need answers ASAP The scatter plot shows the relationship between the number of car accidents in a month and the number of drive
    5·2 answers
  • I NEED THE ANSWER ASAP PLEASEEEE
    6·2 answers
  • 8x - 1/3 y = 0<br><br> 12x + 3 = y
    15·1 answer
  • Help please??? I'm confused-
    11·1 answer
  • Help me answer this please!! will mark brainliest
    15·1 answer
  • Substitute * <br> x=2y+9<br> 14x+2y=-54
    13·2 answers
  • What is the first natural number <br>A.0 B.1. C.-1​
    10·1 answer
  • Find 3 ordered pairs for each equation <br><br> Y= 5x+1 <br><br> Y=10 - x <br><br> Y= 2x
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!