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
A basketball is tossed up into the air, falls freely, and bounces from the wooden floor. From the moment after the player releas
Tju [1.3M]

Answer:

Tha ball- earth/floor system.

Explanation:

The force acting on the ball is the force of gravity when ignoring air resistance. At the moment the player releases the ball, until it reaches the top of its bounce, the small system for which the momentum is conserved is the ball- floor system. The balls exerts and equal and opposite force on the floor. <u>Here the ball hits the floor, because in any collision the momentum is conserved. Moment of the ball -floor system is conserved</u>. Mutual gravitation bring the ball and floor together in one system. As the ball moves downwards, the earth moves upwards, although with an acceleration on the order of 1025 times smaller than that of the ball. The two objects meet, rebound and separate.

5 0
3 years ago
Which theory best explains the present arrangement of continents oceans and landforms on earth? A the Pangaea theory B The conti
solong [7]

Plate Tectonic Theory

3 0
3 years ago
A ball has a mass of 1.5kg and is thrown straight up with a speed of 60m/s, what is the ball’s momentum:
madam [21]

Answer:

Assumption: the air resistance on this ball is negligible. Take g = 10\; \rm m \cdot s^{-2}.

a. The momentum of the ball would be approximately 60\;\rm kg \cdot m \cdot s^{-1} two seconds after it is tossed into the air.

b. The momentum of the ball would be approximately \rm \left(-45\; \rm kg \cdot m \cdot s^{-1}\right) three seconds after it reaches the highest point (assuming that it didn't hit the ground.) This momentum is smaller than zero because it points downwards.

Explanation:

The momentum p of an object is equal its mass m times its velocity v. That is: \vec{p} = m \cdot \vec{v}.

Assume that the air resistance on this ball is negligible. If that's the case, then the ball would accelerate downwards towards the ground at a constant g \approx -10\; \rm m \cdot s^{-2}. In other words, its velocity would become approximately 10\; \rm m \cdot s^{-1} more negative every second.

The initial velocity of the ball is 60\; \rm m \cdot s^{-1}. After two seconds, its velocity would have become 60\;\rm m \cdot s^{-1} + 2\; \rm s \times \left(-10\;\rm m \cdot s^{-1}\right) = 40\; \rm m \cdot s^{-1}. The momentum of the ball at that time would be around p = m \cdot v \approx 60\; \rm kg \cdot m \cdot s^{-1}.

When the ball is at the highest point of its trajectory, the velocity of the ball would be zero. However, the ball would continue to accelerate downwards towards the ground at a constant g \approx -10\; \rm m \cdot s^{-2}. That's how the ball's velocity becomes negative.

After three more seconds, the velocity of the ball would be 0\; \rm m \cdot s^{-1} + 3\; \rm s \times \left(-10\; \rm m \cdot s^{-2}\right) = -30 \; \rm m \cdot s^{-1}. Accordingly, the ball's momentum at that moment would be p = m \cdot v \approx \left(-45\; \rm kg \cdot m \cdot s^{-1}\right).

3 0
3 years ago
Mary Sue is making caramel ice cream. In the first part of the process, she combines a cup of sugar and a cup of water in a sauc
timurjin [86]
<span>D. sugar changes from white to a light amber color We're looking for a chemical change. So let's examine the options and see what happening with them. A. adding cream and milk to the mixture She's just making a mixture here. No unexpected reactions or changes happen as she adds the cream and milk. So this is the wrong answer. B. mixing the sugar with water Dissolving the sugar in water. Once again, nothing unusual happens and if she were to evaporate the water, she'd be left with the original sugar. So this is the wrong answer. C. melting the sugar Just starting a simple phase change. Once again, no the right answer. D. sugar changes from white to a light amber color She's melted the sugar and has a clear fluid. As she continued to heat this fluid, it suddenly turns light amber. She has made a permanent change to the substance that she can't undo by simply physical means. She has converted part of the sugar into caramel. So a chemical change has happened here.</span>
7 0
3 years ago
Snow tends to sublime outside during cold, clear winter days when the atmospheric pressure is low. During this proces
olga nikolaevna [1]
A I think because sublimation is when something skips melting and goes directly to vapor
3 0
2 years ago
Other questions:
  • A satellite orbits earth at 800 m from the earth's center. Gravity at this location is 6.2 m/s^2. What is the velocity of the sa
    15·1 answer
  • when water in a brook or system of pipes flows from a wide region to a narrow region, the speed of water in the narrow region is
    12·1 answer
  • The is a measurement unit for intensity of sound. a) meter b) decibel c) degree
    11·2 answers
  • 1 point
    15·2 answers
  • ASAPP PLS HELP MEE
    10·1 answer
  • An electric current that continually reverses direction over time is known as an ??
    13·1 answer
  • A 10v battery is connected in series with 2 resistors. R1 is 1 ohm and R2 is 4 ohms. What is the current that goes across R1?
    5·1 answer
  • A lens 57.8 cm from an object
    14·1 answer
  • Billy drops a ball from a height of 1 m. The ball bounces back to a height of 0.8 m, then
    12·1 answer
  • Which of the following is true of work?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!