Helppppppppppp me ASAP plz

When the selling price is $10, the consumer surplus is approximately $0.00 (rounded to the nearest cent).

The consumer surplus when the selling price is $10 is found by,
1. First, identify the demand curve equation: p = 430/(x+9).

2. Next, find the quantity demanded (x) when the selling price (p) is $10. Plug p = 10 into the demand curve equation: 10 = 430/(x+9).

3. Solve for x: 10(x+9) = 430. This simplifies to 10x + 90 = 430. Subtract 90 from both sides: 10x = 340. Divide by 10: x = 34.

4. Now, find the price consumers are willing to pay for the 34th unit using the demand curve equation: p = 430/(34+9). This simplifies to p = 430/43, which equals p ≈ 10.

5. The consumer surplus is the difference between the price consumers are willing to pay for the 34th unit and the selling price, multiplied by the quantity demanded, and divided by 2 (since the surplus forms a triangle). In this case, the consumer surplus is approximately (10 - 10) * 34 / 2 = 0.

When the selling price is $10, the consumer surplus is approximately $0.00 (rounded to the nearest cent).

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Answer: \((-\infty, 0]\)

Step-by-step explanation:

This is a parabola that opens down (because of the negative leading coefficient).

So, the average rate of change (i.e., the slope of the secant) is negative when the function is decreasing.

The function is decreasing to the left of the vertex, which is at (0, 7).

So, the function has a negative average rate of change for \((-\infty, 0]\).

The set of natural numbers {1,2,3,4,...} and the set of positive even numbers {2, 4, 6, 8, . . .} are different because natural numbers include all positive integers, while even numbers only include those that are divisible by 2 with no remainder.

Two important sets of numbers are natural numbers and even numbers. The set of natural numbers consists of numbers that are not negative, beginning with 1 and continuing indefinitely with 2, 3, 4, and so on.

The set of even numbers, on the other hand, consists of numbers that are divisible by 2, beginning with 2, 4, 6, and so on.

Positive integers refer to natural numbers. Any integer greater than zero is a positive integer.

Zero is not a positive integer. Hence, the set of natural numbers consists of {1,2,3,4,…}

On the other hand, the set of even numbers consists of {2, 4, 6, 8, . . .}.

Therefore, {1,2,3,4,…} and {2, 4, 6, 8, . . .} are two different sets of numbers where one set is composed of positive integers (natural numbers) and the other is composed of positive even numbers.

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Answer:

189

Step-by-step explanation:

The volume of a pyramid is Bh/3

B=9*9, h=7

9*9*7/3=189

Answer:

V = 189

Step-by-step explanation:

V = \(\frac{1}{3}\)Bh

9 x 9 = 81

81 x 7 = 567

567 ÷ 3 = 189

\(\frac{1}{3}\) means to divide by 3, when trying to find the volume of a pyramid or cone.

Let me know if this helps!

Answer:

Step-by-step explanation:

In a tent, there are nine boys.

There were five tents.

5 tents containing 9 boys can equal 45 boys.

(5 x 9 = 45)

In a cabin, there are seven boys.

There were four cabins.

4 cabins containing 7 boys can equal 28 boys.

(4 x 7 = 28)

Now, to find all the boys, add the numbers together.

28 boys with 45 boys will equal 73 boys.

Please check my answer for no one, not even me is right.

Good luck :)

The evaluated value of the function f(x) = 3e^(-x+2) - 2 for x = 4 is approximately 0.045.

To evaluate the function, we substitute x = 4 into the given equation and simplify the expression. Plugging in x = 4, we have f(4) = 3e^(-4+2) - 2. Simplifying further, we get f(4) = 3e^(-2) - 2.

Using the approximate value of e as 2.71828, we can calculate the evaluated value. Evaluating 3e^(-2) - 2, we find that f(4) is approximately equal to 0.045 when rounded to three decimal places.

Therefore, when x is 4, the function f(x) = 3e^(-x+2) - 2 evaluates to approximately 0.045.

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Answer:

silas

Step-by-step explanation:

Answer: 0.1714 miles / hour

Step-by-step explanation:

Given the following :

Distance to the store = 3 miles

Time taken to get to store = 12 hours

Time taken to return = 23 hours

The average rate of speed for the trip =?

Average Speed = total distance traveled / total time taken

Total distance traveled = 2 × 3 miles = 6 miles

Total time taken = 12 + 23 = 35 hours

Average speed = 6 miles / 35 hours

Average speed = 0.1714 miles / hour

Answer:

0.1714 mph

5.14 mph

Step-by-step explanation:

The first 3 consecutive odd numbers are 1,3,5. x and x + 2 are consecutive odd numbers if x is an odd number.

Consecutive numbers are those that always appear in the same order, from smallest to largest.

For instance:

The numbers 1, 2, 3, 4, 5, 6, and so on are consecutive.

consecutive odd numbers:

Let's call the odd number "x." The subsequent term becomes "x + 4" and the next consecutive odd number becomes "x + 2."

Numbers that begin with 1, 3, 5, 7, or 9 are considered odd. 1, 3, 5, 7, 9, 11, 13, 15, and so on are examples of consecutive odd numbers.

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We are given 2 statements.

We translate them to algebraic statements.

Let

smaller integer be s, and

larger integer be l

"The larger of two integers is 4 more than 9 times the smaller."

We can write this as:

Then, we are given sum of 2 integers is greater than or equal to 26, we can write:

We put 1st equation in 2nd:

The next integer value (smallest of them all) of s is "3".

Now, if s is 3, l would be:

l = 9s + 4

l = 9(3) + 4

l = 27 + 4

l = 31

smaller of the both integers:

Smaller Number: 3

Larger Number: 31

Answer:

The factors of the number 18 are: 1, 2, 3, 6, 9, 18. If you add them up, you will get the total of 39.

Answer:

1/2, 8/10, 0.9

Step-by-step explanation:

Convert to decimals.

8/10 = 0.8

0.9

1/2 = 0.5

Arrange from least to greatest.

0.5, 0.8, 0.9

1/2, 8/10, 0.9

Answer:

=3b^2x(2b-1)x(2b+1)

Step-by-step explanation:

Answer:

$ 52, 470

Step-by-step explanation:

There are 12 months in a year so to find out how the net monthly salary would be you would do

54, 240 - 1475(12) = 52, 470

Answer:

Step-by-step explanation:

Cost price = fixed expenses + variable expenses× number of products (x)

Selling price = total cost price + profit

At break even point,

Profit = 0

Therefore, total selling price = total cost price

X(22.50)= 25560 + x(4.50)

(22.50 - 4.50)x = 25560

18x= 25560

X = 1420

The following are the zeros for the function h (x) = x2 + 3x - 8: - x= -4 and x=2.

Given a collection of inputs X (domain) and a set of potential outputs Y (codomain), a function is more technically defined as a set of ordered pairings (x,y) where xX and yY with the caveat that there can only be one ordered pair with the same value of x. The function notation f:XY can be used to express that f is a function from X to Y.

The function's zero is a value of x that makes it equal to zero. In other words, the equation f(x) = 0 leads to a zero.

By putting h(x) equal to zero and figuring out x, we may determine the zeroes for the function h(x) = x2 + 3x - 8.

h(x) = x² + 3x - 8 = 0

We may factor the left side of the equation to find x:

x² + 3x - 8 = (x-2)(x+4) = 0

We set each factor to zero and solve for x to discover the zeroes:

x-2 = 0 or x+4 = 0

x = 2 or x = -4

Consequently, the function's zeros are x = 2 and x = -4.

So, A is the right response. x = -4 and x = 2

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The complete question is

What are the zeros of the function h (x) = x² + 3x - 8?

A. x = -4 and x = -2

B. x= -8 and x = 2

C. x = -2 and x = 8

D. x = 2 and x = 8

Answer:

B

Step-by-step explanation:

Answer:

See Explanation

Step-by-step explanation:

\(15 = 3 \times \bold{ \red{ \boxed5}} \\ \\ 40 = 2 \times 2 \times 2 \times \bold{ \purple{ \boxed5}} \\ \\ common \: factor \: of \: 15 \: and \: 40= 5 \\ \\ \therefore \: gcf \: of \: 15 \: and \: 40 = 5\)

Answer:

(x-1)(x-2)

x=1, x=2

Step-by-step explanation:

Answer:

The solution to the recurrence relation is given by an = 2^(n+1) - 1.

Step-by-step explanation:

(a) To solve the recurrence relation an = an-2 + 4, with initial conditions a1 = 3 and a2 = 5, we'll consider two cases: one for when n is even and one for when n is odd.

For n even:

Substituting n = 2k (where k is a positive integer) into the recurrence relation, we get:

a2k = a2k-2 + 4

Now let's write out a few terms to observe the pattern:

a2 = a0 + 4

a4 = a2 + 4

a6 = a4 + 4

...

We notice that a2k = a0 + 4k for even values of k.

Using the initial condition a2 = 5, we can find a0:

a2 = a0 + 4(1)

5 = a0 + 4

a0 = 1

Therefore, for even values of n, the solution is given by an = 1 + 4k.

For n odd:

Substituting n = 2k + 1 (where k is a non-negative integer) into the recurrence relation, we get:

a2k+1 = a2k-1 + 4

Again, let's write out a few terms to observe the pattern:

a3 = a1 + 4

a5 = a3 + 4

a7 = a5 + 4

...

We see that a2k+1 = a1 + 4k for odd values of k.

Using the initial condition a1 = 3, we find:

a3 = a1 + 4(1)

a3 = 3 + 4

a3 = 7

Therefore, for odd values of n, the solution is given by an = 3 + 4k.

(b) To solve the recurrence relation an = 2an-1 + 1, with initial condition a1 = 1, we'll find a general expression for an.

Let's write out a few terms to observe the pattern:

a2 = 2a1 + 1

a3 = 2a2 + 1

a4 = 2a3 + 1

...

We can see that each term is one more than twice the previous term.

By substituting repeatedly, we can express an in terms of a1:

an = 2(2(2(...2(a1) + 1)...)) + 1

= 2^n * a1 + (2^n - 1)

Using the initial condition a1 = 1, we have:

an = 2^n * 1 + (2^n - 1)

= 2^n + 2^n - 1

= 2 * 2^n - 1

Therefore, the solution to the recurrence relation is given by an = 2^(n+1) - 1.

Answer:

x=8

Step-by-step explanation:

83+(12x+1)=180

It equal to 180 because the line measures to 180.

Then write out the equation and solve.

The coordinate of the vertices of the triangle are

A triangle is a polygon with three sides.

The vertices of a triangle are the points where the sides of the triangle intersect.

Let

Since the midpoints of the sides of the triangle are

We know that the coordinates of the midpoint of a line with coordinates

x = (x' + x")/2 and y = (y' + y")/2

So, using these, we have that the midpoints of the sides are

For coordinates (2,4) we have that

(x₁ + x₂) = 4 (1) and

(y₁ + y₂) = 8  (2)

For coordinates (1/2,7/2) we have that

(x₁ + x₃) = 1 (3) and

(y₁ + y₃) = 7 (4)

For coordinates (5/9,9/2) we have that

(x₂ + x₃) = 10/9 (5)and

(y₂ + y₃) = 9 (6)

From equation (1) x₁ = 4 - x₂ (7)

From equation (2) y₁ = 8 - y₂ (8)

Substituting equations (7) and (8) into (3) and (4), we have

(x₁ + x₃) = 1 (3) and

(y₁ + y₃) = 7 (4)

4 - x₂  + x₃ = 1  and

8 - y₂ + y₃ = 7

- x₂  + x₃ = 1 - 4 and

- y₂ + y₃ = 7 - 8

- x₂  + x₃ =  - 3 (9) and

- y₂ + y₃ =  - 1 (10)

Now, adding equations (5) and (9), we have

x₂ + x₃ = 10/9 (5)

- x₂  + x₃ =  - 3 (9)

2x₃ = 10/9 - 3

2x₃ = (10 - 9)/9

2x₃ = 1/9

Dividing through by 2, we have

x₃ = 1/9 ÷ 2

x₃ = 1/18

Substituting this into equation (9), we have

- x₂  + x₃ =  - 3

- x₂  + 1/18 =  - 3

- x₂  = - 3 - 1/18

- x₂  = (- 54 - 1)/18

- x₂  = - 55/18

Dividing through by -1, we have

x₂  = 55/18

Substituting this into equation (1), we have

(x₁ + x₂) = 4 (1)

x₁ + 55/18 = 4

x₁ = 4 - 55/18

x₁ = (72 - 55)/18

x₁ = 17/18

Also, adding equations (6) and (10), we have

y₂ + y₃ = 9 (6)

+

- y₂ + y₃ =  - 1 (10)

2y₃ = 9 - 1

2y₃ =  8

y₃ =  8/2

y₃ =  4

Substituting this into equation (10), we have

- y₂ + y₃ =  - 1 (10)

- y₂ + 4 =  - 1

- y₂ =  - 1 - 4

- y₂ =  - 5

Dividing through by -1, we have

y₂ = 5

Substituting this into equation (2), we have

(y₁ + y₂) = 8  (2)

y₁ + 5 = 8

y₁ = 8 - 5

y₁ = 3

So, the coordinate of the vertices are

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A compound event is any event combining two or more simple events.

From the question, we have the following parameters that can be used in our computation:

combining two or more simple events.

As a general rule

When two or more simple events are combined, the result is a compound event

An example is selecting 1 in a die and head in a coin

This means that the statement that completes the blank is compound event

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a) Rocky Mountain should order 200 tires each time it places an order.

b) The total cost of this policy is $17,160.

a) To determine how many tires Rocky Mountain should order each time, we need to consider the different price levels and find the point where it is most cost-effective to order. Let's analyze the three price levels:

If fewer than 200 tires are ordered: The purchase price is $25 per tire.

If 200 or more, but fewer than 8,000 tires are ordered: The purchase price is $17 per tire.

If 8,000 or more tires are ordered: The purchase price is $13 per tire.

Since the ordering cost is $35 per order, it is most cost-effective to order the maximum quantity that falls within the second price level, which is 200 tires.

b) To calculate the total cost of this policy, we need to consider the ordering cost and the holding cost. The holding cost is 40% of the purchase price per tire per year. Let's calculate the total cost:

Total holding cost = (Purchase price per tire * Quantity ordered * Holding cost rate) / 2 = (($17 * 10,000 * 0.4) / 2) + (($13 * 2,000 * 0.4) / 2) = $34,000 + $5,200 = $39,200

Total cost = Total ordering cost + Total holding cost = (Ordering cost per order * Number of orders) + Total holding cost = ($35 * (10,000 / 200)) + $39,200 = $1,750 + $39,200 = $40,950

Therefore, the total cost of this policy is $40,950.

Rocky Mountain Tire Center should order 200 tires each time it places an order, resulting in a total cost of $40,950 for this policy. This ordering quantity and cost analysis allows Rocky Mountain to make efficient and cost-effective decisions in managing their inventory.

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The value of the missing internal angle in the irregular polygon is equal to 125°.

The sum of internal angles (S), in degrees, in any convex polygon is determined by the following formula:

S = 180 · (n - 2)

Where n is the number of sides in the polygon.

According to the image seen beside, we find an irregular pentagon, that is, a polygon with five sides. First, determine the sum of internal angles:

S = 180 · (5 - 2)

S = 180 · 3

S = 540°

Second, find the value of the missing internal angles:

y = 540° - 86° - 142° - 72° - 115°

y = 125°

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In this problem 0.7 is the standard deviation of the contents.

It is a statistic that gauges a dataset's dispersion from its mean, and it is calculated as the variance's square root. By calculating the deviation of each data point from the mean, the standard deviation may be determined as the square root of variance. The standard deviation reveals the degree of data skewedness. It gauges how far away from the mean each observed value is. Approximately 95% of values in any distribution will be within two standard deviations of the mean. A dataset's dispersion from its mean is measured by standard deviation. It is determined as the variance's square root. In the financial industry, standard deviation is frequently employed as a gauge of an asset's relative riskiness.

Given,

A random sample of 196 bottles of cologne showed an average content of 4 ounces. it is known that the standard deviation of the contents (i.e., of the population) is 0.7 ounces.

In this problem 0.7 is the standard deviation of the contents.

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Son el B el C y el E

Answer:

63.5

Step-by-step explanation:

just plug in 6.3 for x!

7(6.3) + 19.4 = 63.5

hope this helps!

Answer:

-1023

Step-by-step explanation:

-15(8)²-9(8)+9= -1023

Answer:

122.24 is the approximate answer

Step-by-step explanation:

The Logo is made up of 2 semicircles and 1 rectangle

Two semicircles make one circle

The formula for a circle is π\(r^{2}\)

The radius (r) is 4 because the diameter is 8

so you plug it in and get 16π

The approximate value of π is 3.14

16 times 3.14 is 50.24\(cm^{2}\)

so to calculate the area of the whole logo just add\(72cm^{2} +50.24cm^{2} =122.24\)