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
Vadim26 [7]
2 years ago
13

There are two factors that limit how much he can bake in a week: He only wants to work for 40 hours a week and he only has one o

ven. Suppose that it takes the baker 1hour to prepare a pair of cakes or a gross of cookies (before they are placed in the oven). Since he only wants to work 40 hours a week, his output of pairs of cakes x and his output of grosses of cookies y are constrained by the equation x+y=40.
To maximize the profit of the bakery, the first step is to find where the equations for all of the constraints intersect. For the following part, you will look at x+y=40 and y=0, which is also a constraint (specifically a minimum) since the baker cannot make a negative number of cookies.

Parts A and B might seem easier than most problems with linear systems, but in them you will use the basic techniques needed to solve any linear system: adding equations to cancel variables and substituting the value of one variable to find the value of the other.

Part A
One way of solving systems of linear equations is by adding a multiple of one equation to the other. The multiplier for the first equation is chosen so that one of the two variables will cancel out in the sum. What should you multiply the equation y=0 by so that when added to x+y=40 the variable y will cancel out?
Express your answer numerically.
Physics
1 answer:
anyanavicka [17]2 years ago
4 0

Answer:

  -1

Explanation:

The coefficient of y in the equation x+y=40 is 1. To make the y-terms cancel when the second equation is added, its coefficient must be -1. It has a coefficient of 1 now, so that equation should be multiplied by -1.

  (x +y) +(-1)(y) = (40) +(-1)(0)

  x = 40 . . . . . . . simplified; y-terms were cancelled

You might be interested in
Analyze how some insects are able to move around on the surface of a lake or pond
koban [17]
It is called surface tension it is the elastic personality of some liquids as they pull together to take up as little surface area as possible. the water molecules would rather stay together than be pulled apart<span />
3 0
3 years ago
If you live on the path of a jet stream, will the temperature get hotter or colder?
Evgen [1.6K]
Jet streams are tied to global warming so I’m guessing hotter
8 0
3 years ago
A girl runs and cover a distance of 200m in 20 secends.The speed of the girl is ................ m/s.
Mademuasel [1]

Speed = distance/time

Speed = (200m)/(20s)

Speed = 10 m/s

4 0
3 years ago
An atom of carbon has a radius of 67.0 pm and the average orbital speed of the electrons in it is about 1.3 x 10⁶ m/s.
adoni [48]

Answer :

The least possible uncertainty in an electron's velocity is, 4.32\times 10^{5}m/s

The percentage of the average speed is, 33 %

Explanation :

According to the Heisenberg's uncertainty principle,

\Delta x\times \Delta p=\frac{h}{4\pi} ...........(1)

where,

\Delta x = uncertainty in position

\Delta p = uncertainty in momentum

h = Planck's constant

And as we know that the momentum is the product of mass and velocity of an object.

p=m\times v

or,

\Delta p=m\times \Delta v      .......(2)

Equating 1 and 2, we get:

\Delta x\times m\times \Delta v=\frac{h}{4\pi}

\Delta v=\frac{h}{4\pi \Delta x\times m}

Given:

m = mass of electron = 9.11\times 10^{-31}kg

h = Planck's constant = 6.626\times 10^{-34}Js

radius of atom = 67.0pm=67.0\times 10^{-12}m     (1pm=10^{-12}m)

\Delta x = diameter of atom = 2\times 67.0\times 10^{-12}m=134.0\times 10^{-12}m

Now put all the given values in the above formula, we get:

\Delta v=\frac{6.626\times 10^{-34}Js}{4\times 3.14\times (134.0\times 10^{-12}m)\times (9.11\times 10^{-31}kg)}

\Delta v=4.32\times 10^{5}m/s

The minimum uncertainty in an electron's velocity is, 4.32\times 10^{5}m/s

Now we have to calculate the percentage of the average speed.

Percentage of average speed = \frac{\text{Uncertainty in speed}}{\text{Average speed}}\times 100

Uncertainty in speed = 4.32\times 10^{5}m/s

Average speed = 1.3\times 10^{6}m/s

Percentage of average speed = \frac{4.32\times 10^{5}m/s}{1.3\times 10^{6}m/s}\times 100

Percentage of average speed = 33.2 % ≈ 33 %

Thus, the percentage of the average speed is, 33 %

3 0
3 years ago
A block with a mass of 2kg is pushed 20cm and a constant speed up an incline that makes a 40 degree angle with the floor. how mu
Alexxx [7]

work done will be 2.5872 J

Given :

mass of block = 2kg

distance travelled by block = 20cm

angle of inclination = 40°

To Find :

Work done by gravity

Solution :

Gravity is defined as the force that attracts a body towards the earth or towards any other physical body having mass.

work done by gravity is mgh

If θ is the angle made when the body falls, the work done by gravity is given by,

W = m g h cosθ

W = 2 x 9.8 x 0.2 x cos40°

= 2.5872 J

So work done will be 2.5872 J

Learn more about Work done here:

brainly.com/question/25923373

#SPJ4

8 0
2 years ago
Other questions:
  • Choose the correct definition of angular momentum.
    13·1 answer
  • In a lab, a student drags a shoe across the floor at constant speed. If the coefficient of static friction between the floor and
    14·2 answers
  • Imagine Two Artificial Satellites Orbiting Earth At The Same Distance. One Satellite Has A Greater Mass Than The Other One? Whic
    8·1 answer
  • The north and south poles of a magnetic field produced by an electromagnet will switch when the direction of the BLANK changes.
    5·1 answer
  • 1. Vertically oriented circular disks have strings wrapped around them. The other ends of the strings are attached to
    14·1 answer
  • A car starts from rest and after 20 seconds it's velocity becomes 108km find the acceleration of the car
    15·1 answer
  • What is a variable that gives location relative to an origin?
    7·2 answers
  • calculate the pressure of water having density 1000 kilo per metre square at a depth of 20 m inside the water​
    6·1 answer
  • IF YOUR GOOD AT SCIENCE THEN PLEASE ANSWER THIS ASAP I WILL MARK YOU THE BRAINLIEST
    9·1 answer
  • Explain how a voltage is produced in the secondary coil of the transformer.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!