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Likurg_2 [28]
1 year ago
15

During Thanksgiving you participated in a pumpkin-pie eating contest. You really enjoyed the first two pies, the third one was o

kay, but as soon as you ate the fourth one you became ill and lost the contest. Your total utility ______ with the first three pies you ate.
Mathematics
1 answer:
zaharov [31]1 year ago
3 0

Answer:

Your total utility first increased then decreased with the first three pies you ate.

Step-by-step explanation:

You really enjoyed the first two pies, the third one was okay, but as soon as you ate the fourth one you became ill and lost the contest.

Your total utility first increased then decreased with the first three pies you ate.

As the amount of commodity consumed increases, the utility goes on decreasing with each next consumption.

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The equation y 4.9t 2 3.5t 2.4 relates the height y in meters to the elapsed time t in seconds for a ball thrown downward at 3.5
tamaranim1 [39]

Answer:

t \approx 0.43\,s

Step-by-step explanation:

The vertical displacement function is y(t) = -4.9\cdot t^{2}-3.5\cdot t + 2.4, where y(t) is measured in meters and t in seconds. Ball hits the ground when y(t) = 0. That is:

-4.9\cdot t^{2}-3.5\cdot t + 2.4 = 0

Whose roots can be found by using the General Formula for Second-Order Polynomials:

t_{1,2} = \frac{3.5\pm \sqrt{(-3.5)^{2}-4\cdot (-4.9)\cdot (2.4)} }{2\cdot (-4.9)}

Solutions of this polynomial are:

t_{1} \approx 0.43\,s,t_{2} \approx -1.14\,s

Only the first root is physically consistent.

3 0
2 years ago
Lydia buys 5 pounds of apples and 3 pounds of bananas for a total of $8.50. Ari buys 3 pounds of apples and 2 pounds of bananas
Anarel [89]
5x + 3y= 8.50
3x + 2y= 5.25

Lydia is the first equation. She bought 5 pounds of apples which is x and bought 3 pounds of bananas which is y. Basically, remember each banana and apple weighs a price per pound. We don't know the price so we just put an x. This is the same for the second equation
8 0
2 years ago
Read 2 more answers
Paul owns a gym and needs to replace the carpeting on the floor. The gym's floor plan is shown.
zubka84 [21]

Answer:

<em>24 square yards</em>

Step-by-step explanation:

Find the diagram attached.

The area of the diagram = Area of rectangle + Area of triangle

Area of rectangle = 3 * 4

Area of rectangle = 12 square yards

Area of triangle = 1/2 * base * height

Area of triangle = 1/2 * 6 * 4

Area of triangle = 12 square yards

Area of the diagram = 12 + 12

Area of diagram =  24 square yards

<em>Hence 24 square yards of carpeting is needed</em>

7 0
1 year ago
Over the course of a year,a tractor-trailer commutes 160,000 miles across America.Assuming a trucker changes his tires every 40,
Nikolay [14]
160,000 - 40,000= 120,000/4 = 3 sets of new tires in the first year and 4 every consecutive year.
3 0
1 year ago
Read 2 more answers
Rectangle ABCD was dilated to create rectangle A'B'C'D' using point R as the center of dilation.
Slav-nsk [51]

Answer:

5

Step-by-step explanation:


8 0
2 years ago
Read 2 more answers
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