Find the Errors: A student multiplied the two polynomials below.

(a) Clearly state the two errors that the student made in their multiplication table. (4 points)

(b) State what the correct answer should be. (2 points)

The limiting value of the population is approximately 485165195.41, as t approaches infinity, and the value of the population at t = 3 can be determined by solving the Gompertz differential equation with the initial condition, resulting in a specific numerical value.

(a) The limiting value of the population, as t approaches infinity, can be determined by analyzing the behavior of the Gompertz differential equation. As t increases, the term 20 - ln(P) will tend to 20, as ln(P) approaches infinity.

Therefore, the limiting value of the population can be found by setting 20 - ln(P) equal to 0 and solving for P. In this case, we can solve the equation 20 - ln(P) = 0 to find that the limiting value of the population is P = e^20, which is approximately 485165195.41.

(b) To find the value of the population when t = 3, we can use the given Gompertz differential equation. Plugging in t = 3 and the initial condition P(0) = 60, we can solve the differential equation numerically or use an appropriate method to find the value of P at t = 3.

This would require solving the equation dP/dt = 3P(20 - ln(P)) with the initial condition P(0) = 60. The resulting population value at t = 3 will depend on the specific numerical solution obtained.

In summary, the limiting value of the population is approximately 485165195.41, and the value of the population at t = 3 can be found by solving the Gompertz differential equation with the given initial condition.

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Answer:

What

Step-by-step explanation:

I dont understand what you are asking

Answer:

48 square units

Step-by-step explanation:

Each square on the grid is 2 units by 2 units.

Bases: AT = 8; RS = 4

Height: 8

area = (b1 + b2)h/2

area = (8 + 4)(8)/2

area = 48 square units

Answer:

The area of trapezoid is 48 sq units.

Step-by-step explanation:

According to the question,

➻ Trapezoid is consist of many square shapes. Each grid square equals 2 units. We need to find the area of trapezoid.

➻ To find area we need to find the length if base and height of trapezoid.

Calculate the square grids to find base and height. we get.

Base ; SR = 4 units and TA = 8units

Height = 8 units.

Finding the area of trapezoid.

We know that,

Area of trapezoid = ( Base1 + Base2 ) ×Height / 2

plug the values of both base and a height.

Area of trapezoid = ( 4 + 8 ) × 8 / 2

Add the numbers which are in bracket and multiply by 8.

Area of trapezoid = 12 × 8 / 2 = 96/2

Divide 96 by 2.

Area of trapezoid = 48 sq units.

Hence,

The area of trapezoid is 48 sq units.

Answer:

15ft

Step-by-step explanation:

Answer:

Step-by-step explanation:

the formula for a circle is pi(r^2) where r is the radius. the diameter is 16 so 16/2 =8. substitute 8 for the radius to get pi(8^2). 8^2=64 so you have pi(64).

pi(64)= approximately 201.06

Answer:

2.5mi

Step-by-step explanation:

?/20 = 1/8

^ If you turn into a percentage you get 1/8 = 12.5%

so now the question is v

what is 12.5 percent of 20?

which is 2.5

I WOULD CHECK FIRST, NOT 100 PERCENT SURE

The set of all partitions of a positive integer n, denoted as P(n), forms a partially ordered set (poset) under the relation of set inclusion (≤).

In part (a), we show that (P(n), ≤) satisfies the properties of a poset. In part (b), we draw the Hasse diagram for P(6) to illustrate the partial order. Whether (P(n), ≤) forms a lattice for all n depends on the specific values of n.

a) To show that (P(n), ≤) is a poset, we need to verify three properties:

Reflexivity: Every partition is included in itself, so for any partition A in P(n), A ≤ A.

Antisymmetry: If A ≤ B and B ≤ A, where A and B are partitions in P(n), then A = B.

Transitivity: If A ≤ B and B ≤ C, where A, B, and C are partitions in P(n), then A ≤ C.

These properties hold for the relation of set inclusion, thus establishing that (P(n), ≤) is a poset.

b) The Hasse diagram for P(6) represents the partial order of the partitions of 6. The partitions are depicted as nodes, with an upward-directed edge connecting A to B if A is included in B (A ≤ B). The diagram illustrates the hierarchy of partitions based on the inclusion relation.

Whether (P(n), ≤) forms a lattice for all n depends on whether it has both a least element (bottom element) and a greatest element (top element). For P(n), if n is greater than 1, there is no unique greatest element since there can be multiple ways to partition n. Therefore, (P(n), ≤) is not a lattice for all values of n.

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Answer:

I'm not that good at math sorry for waiting your time:)

Answer:

[tex]b_{n} =b_{1} r^{n-1} =100*1.2^{n-1}[/tex]

Step-by-step explanation:

first number is [tex]b_{1} =100[/tex]

the cammon ratio is [tex]r=\frac{120}{100} =\frac{144}{120}=1.2[/tex]

so [tex]b_{n} =b_{1} r^{n-1} =100*1.2^{n-1}[/tex]

The cook made 280 pieces of chicken altogether.

the diagram is  like this :

Grilled chicken: [#####] [#####] [#####] [#####] [#####] ,

Fried chicken:   [##] [##]  

The ratio of grilled chicken to fried chicken is 5:2, which means for every 5 pieces of grilled chicken, the cook made 2 pieces of fried chicken.

To model this ratio, we can use a bar diagram with five sections for the grilled chicken and two sections for the fried chicken,

If the cook made 80 pieces of fried chicken, we can use this ratio to calculate the number of pieces of grilled chicken.

First, we need to find out how many sets of 5:2 there are in 80. We can do this by dividing 80 by 2 and then multiplying by 5:

80 ÷ 2 = 40

40 × 5 = 200

So the cook made 200 pieces of grilled chicken.

To find the total number of pieces of chicken, we just need to add the grilled and fried chicken together: 200 + 80 = 280 .

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Answer:

-4

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

-12 times 1/3.

It's pretty much just -12x1, then divided by 3.

-12x1 is equal to -12.

Your equation is now simplified, making it easier to solve.

Your equation is: [tex]\frac{-12}{3}[/tex]

-12 divided by 3 is -4, because when a negative number is divided (or multiplied) by a positive number, the quotient (or product) is negative.

-12 x (1/3) = -12/3 = -4.

Answer:

8 hours of labor at 45 dollars an hour, plus the 98 dollars for parts equal 458

Answer:

4/9, or 0.4∞

but 0.4∞ has a repeating decimal, so the expanded form is ∞ also

Answer:

1.40/10

2.40/2

Step-by-step explanation:

Answer: For a 1 pack you would divide 40 by 10 and for a 5 pack youd divide 40 by 5

Step-by-step explanation:

Answer:

here go the answer hope it help

Step-by-step explanation:

Answer: Its y=-1.

Step-by-step explanation:

Answer: no sol

Step-by-step explanation:

bro there is no pic to do so  im just going to say...

(1) x = -2 y = -8

(2) x = -1 y = -4

(3) x = 0 y = 0

(4) x = 1 y = 4

(5) x = 2 y = 8

Those are the answers for what y is so now i think you have to plug it in to the right side of the chart

For this project, I will choose the food item to be "Gourmet Burgers." Now let's go through each step as outlined.

1. Variable(s):

  - x: Number of gourmet burgers sold

2. Total Cost:

  The total cost function includes various components:

  - Cost of the food ingredients for each gourmet burger

  - Cost of the buns, condiments, and other toppings

  - Cost of the cart and any necessary equipment

  - Cost of paying employees

  - Cost of serving products like napkins, plates, and containers

  To determine the cost function, I would research the prices of the food ingredients, condiments, buns, and other supplies needed for each gourmet burger. I would also consider the cost of the cart, equipment, and estimated wages for the employees. By summing up all these costs, I can derive the total cost function.

3. Marginal Cost:

  The marginal cost function represents the change in total cost when one additional gourmet burger is produced and sold. It can be calculated by taking the derivative of the total cost function with respect to the variable x (number of burgers sold). The marginal cost function provides insights into how the cost per unit changes as the production level increases.

  The marginal cost function tells us how much it costs to produce and sell one additional gourmet burger, considering factors like additional ingredients, labor, and supplies required. It helps in making decisions regarding production levels and pricing.

4. Revenue:

  The revenue function is determined by multiplying the price per gourmet burger by the number of burgers sold. The price per gourmet burger can be determined based on market research, competition, and desired profit margin. Multiplying this price by the number of burgers sold gives the revenue generated from sales.

5. Profit:

  The profit function is obtained by subtracting the total cost function from the revenue function. It represents the financial gain or loss from selling a certain number of gourmet burgers. The profit function helps in assessing the profitability of the food cart business and making decisions related to pricing, cost management, and production levels.

To find the break-even point(s), we set the profit function equal to zero and solve for the number of gourmet burgers sold that result in zero profit. The break-even point is the production level where the revenue equals the total cost, indicating that no profit or loss is incurred.

It's important to note that the specific values and calculations for the cost, revenue, and profit functions would require extensive research, market analysis, and consideration of various factors such as local market conditions, ingredient prices, labor costs, and other operational expenses.

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Answer:

24ft²

Step-by-step explanation:

Okay, so I don't understand what you're saying by the whole add the measurement thing, so if this is wrong, I'm very sorry.

Anyways, let's begin, the formula for the area of a triangle is base x height ÷ 2 so we just have to plug in our values:

12 x 4 = 48

48 ÷ 2 = 24

So the area of the triangle is 24ft²

hope this helps:)

Answer:

25

Step-by-step explanation:

I took the test 2021!!!

Answer:

Width: 13 inches

Step-by-step explanation:

To find the width of prism you would have to divide the volume of the prism by the area of the cross section.

First calculate the area of the cross section of the prism:

17 × 25.5= 433.5

Then divide the cross section area by the volume:

5635.5 ÷ 433.5= 13  

The width is 13 inches

The shape that best describes the vertical cross-section of the cylinder is given by: Option B: Rectangle.

When you slice a given object vertically (perpendicular to the ground level), then the sliced surface is called vertical cross section.

For a cylinder, usually it sits on its base and we take a right circular cylinder. When we slice it vertically, we obtain a rectangle, as shown in the figure attached below.

It can be proven that this shape is always going to be rectangular.

Thus, the shape that best describes the vertical cross-section of the cylinder is given by: Option B: Rectangle.

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Answer:

A & C

Step-by-step explanation:

If you substitute the first coordinate (which is the x coordinate) for x in the function and set it equal to the y, options A and C should satisfy the function.

Answer:

24

Step-by-step explanation:

Shiloh is building a tree house

It's measurement is 6ft by 4ft

Therefore the area can be calculated as follows

= 6×4

= 24

Hence the area of the rectangle is 24

Answer:

The area is 12.56 units^2 (same as circumference?)

Step-by-step explanation:

Assuming pi is 3.14, the equation for the circumference is C = 2 pi r

Fill it out for the radius (r)

12.56 = 2 3.14 r

12.56 = 6.28 r

r = 2

With the radius, the equation for the area is A = pi r^2

Fill it out for the area

A = 3.14 2^2

A = 3.14 4

A = 12.56