For a certain company, the cost for producing items is 50x + 300 and the revenue for selling 3 items is 900 -0.5x^2 The profit that the company makes is how much it takes in (revenue) minus how much it spends (cost), In economic models, one typically assumes that a company wants to maximize its profit, or at least wants to make a profit! Part a: Set up an expression for the profit from producing and selling 2 items. We assume that the company sells all of the items that it produces.

There is approximately a 3.84% chance that a randomly selected adult has an IQ greater than 144.4.

To find the probability that a randomly selected adult has an IQ greater than 144.4, assuming their scores are normally distributed with a mean of 102.7 and a standard deviation of 23.5, we will use the z-score formula.

First, calculate the z-score:
z = (X - μ) / σ
where X is the IQ score (144.4), μ is the mean (102.7), and σ is the standard deviation (23.5).

z = (144.4 - 102.7) / 23.5
z ≈ 1.77

Now, use a z-table to find the probability corresponding to this z-score. The z-table value for a z-score of 1.77 is approximately 0.9616. Since we want the probability of an IQ greater than 144.4, we will find the area to the right of this z-score.

Probability = 1 - 0.9616 = 0.0384

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The area of triangle ABC with vertices is 22 square units

The vertices are given as:

A(4, -3) B(9,-3) , and C(10, −11)

The area of the triangle is calculated using

Area = 0.5 * |Ax(By - Cy) + Bx(Ay - Cy) + Cx(Ay - By)|

This gives

Area = 0.5 * |4 * (-3 + 11) + 9 * (-3 + 11) + 10 * (-3 - 3)|

Evaluate the sum of products

Area = 0.5 * |44|

Remove the absolute bracket

Area = 0.5 * 44

Evaluate

Area = 22

Hence, the area of ABC with vertices is 22 square units

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In order to leave an equal space between shelves, the distance between each shelf should be 9 feet 10 inches.

1. The floor-to-ceiling clearance is 9 feet 10 inches.

2. Each shelf is 10 inches thick.

3. To leave an equal space between shelves, the distance between each shelf should be the same as the floor-to-ceiling clearance, which is 9 feet 10 inches.

In order to ensure that there is an equal space between each of the shelves, the distance between each shelf should be 9 feet 10 inches. This is because the floor-to-ceiling clearance is 9 feet 10 inches, and the thickness of each shelf is 10 inches.

Therefore, in order to have an equal space between shelves, the total distance between each shelf should be 9 feet 10 inches. This is the best way to ensure that each shelf is equally spaced from the next.

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Answer

Distance = 4.1 km

Explanation

Let the distance between Jane's house from school be x

The distance can be calculated using pythagora's theorem

Therefore, the distance between Jane's house from school is 4.1 km

A pattern in the shaded parts of the multiplication table is suitable for option b.(we multiply a number times itself to get each shaded number.)

Suppose we can use, option b,

We multiply a number times itself to get each shaded number,

Shaded parts of the multiplication table is ⇒ 1, 4, 9, 16, 25, 36, 49, 64, 81, 100.

We can write,

\(x^{2}\) = x * x

Example:

1 = 1 * 1 = 1

4 = 2 * 2 = \(2^{2}\)

9 = 3 * 3 = \(3^{2}\)

16 = 4 * 4 = \(4^{2}\)

25 = 5 * 5 = \(5^{2}\)

36 = 6 * 6 = \(6^{2}\)

49 = 7 * 7 = \(7^{2}\)

64 = 8 * 8 = \(8^{2}\)

81 = 9 * 9 = \(9^{2}\)

100 = 10 * 10 = \(10^{2}\)

Hence,

1 = \(1^{2}\)

4 = \(2^{2}\)

9 = \(3^{2}\)

16 = \(4^{2}\)

25 = \(5^{2}\)

36 = \(6^{2}\)

49 = \(7^{2}\)

64 = \(8^{2}\)

81 = \(9^{2}\)

100 = \(10^{2}\)

Therefore,

We multiply a number times itself to get each shaded number statement is suitable for a pattern in the shaded parts of the multiplication table.

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The response is A.

Option A's median value is 9, and its range is 13, therefore the smallest value is 9-6, which equals 3, and the greatest value is 9+6, which equals 15. This information is accurately represented by the box-and-whisker plot in option A.

The difference between the highest and lowest values for a given data collection is the range in statistics. For instance, the range will be 10 - 2 = 8 if the given data set is 2, 5, 8, 10, and 3.

As a result, the range may alternatively be thought of as the distance between the highest and lowest observation. The range of observation is the name given to the outcome. Statistics' range reflects the variety of observations.

from the question:

According to the information provided, the number of pupils in each class might range from 9+6 = 15 to 9+6 = 3. Because the maximum value exceeds 15, options C and D cannot accurately represent the number of students in the classes.

Option A's median value is 9, and its range is 13, therefore the smallest value is 9-6, which equals 3, and the greatest value is 9+6, which equals 15. This information is accurately represented by the box-and-whisker plot in option A.

Option B's median value is 9, but its range (from 9-5 = 4 to 9+5 = 14) is only 11, which is less than the range that could be achieved by the number of students. As a result, option B cannot accurately reflect the number of students enrolled in each class.

Thus, the response is A.

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Answer:

c

Step-by-step explanation:

x=1 g(x)=-10

x=2 g(x)=-12

x=3 g(x)=-14

f(x)=x+4

=＞ g(x)=-2·(x+4)

When two distinct lines, l and m, are each perpendicular to the same line n, it means that the two lines have the same angle of rotation in relation to n.

An angle is a figure formed by two lines or rays diverging from a common point. It is measured in degrees, with a full circle representing 360 degrees. Angles are used to describe the direction and orientation of objects, as well as to measure the size of an area or the relationship between two lines. Angles are an important part of mathematics, used in problems such as geometry, trigonometry and calculus.

This angle is equal to 90 degrees, meaning that the two lines are parallel to one another.

Parallel lines are lines that never intersect and are always the same distance apart. This is the case for l and m because both lines are perpendicular to the same line n and, thus, have the same angle. Therefore, the two lines are parallel to one another, meaning that they will never cross and will always remain the same distance apart.

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Answer:
Answer: (b) 5.

Step-by-step explanation:

Simple and best practice solution for (c-5)d=2 equation. ... If it's not what You are looking for type in the equation solver your own equation and let us solve it. ... 2 + 5d cd = 2 + 5d Divide each side by 'd'. c = 2d-1 + 5 Simplifying c = 2d-1 + 5 Reorder ... 11/4-t8 | | (3x^2+5x+2)+(4x^2+3x+2)= | | 4Y+7-Y=4+2Y-8 | | 10x+190=360 ...

For example, let's say with have the equation x+5 ... If we evaluate the same expression when x=10, we get 3(10)+7=30+7=37. Here's a variable expression with two variables: 3x−2y ... How do you express the phrase "a number z divided by 19" as an algebraic expression? ... How do you simplify 11c+5d−9c−9d?Let the number of cows be x and their legs be 4x. ... or, x = 7 [dividing by 2 on both sides]. ... The roots of the equation ax2 + bx + c = 0 will be reciprocal if: ... A circle of radius 10 inches has its center at the vertex C of an equilateral triangle ABC ... (a) 15, (b) 30, (c) 60, (d) 90, (e) 120. Circle Problem Answers. Answer: (b) 5.

Answer:

OOOOOOOOHHH SHUTE BROTHER SORRY WISHED I COULD HELP but im blonde so sowwy

The zeros for the function f(x) = x(x − 4)(x + 2)^4 are x = 0, x = 4, and x = -2.

To find the zeros of the function f(x), we set each factor equal to zero and solve for x. Therefore, we have x = 0, x = 4, and x = -2 as the zeros.

The end behavior of the function can be determined by analyzing the highest power of x in the equation, which is x^6. Since the power of x is even, the graph of the function is symmetric about the y-axis.

As x approaches positive infinity, the value of x^6 increases without bound, resulting in f(x) approaching positive infinity.

Similarly, as x approaches negative infinity, x^6 also increases without bound, leading to f(x) approaching positive infinity.

In summary, the zeros for f(x) = x(x − 4)(x + 2)^4 are x = 0, x = 4, and x = -2. The end behavior of the function is that as x approaches positive or negative infinity, f(x) approaches positive infinity.

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Answer:

5:05

6

10

Step-by-step explanation:

3:30 + 1 hour = 4:30

4:30 + 35 mins = 5:05 pm

5 days per 1 gallon, 30 days for :

30/5 = 6

500/50 = 10

Using probability, we know that the left-tailed area exists at 17.87%.

So, now calculate as follows:

Using formula:

Substitute the values in the above equation, and we obtain:

Simplifying the equation, we will get:

Finally, by using a table we calculate the left-tailed area:

Therefore, using probability, we know that the left-tailed area exists at 17.87%.

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Complete question:

The average price for a gallon of gasoline in the United States is $3.73 and in Russia, it is $3.40. Assume these averages are the population means in the two countries and that the standard deviation of $.25 in the United States and a standard deviation of $.20 in Russia. What is the probability that a randomly selected gas station in the United States charges less than $3.50 per gallon?

A checking account is used for daily basis transaction and a debt and is usually associated with it.Saving accounts is just used for saving money.It has a time limit then you can withdraw your money.It is not on daily basis.

A bank account that allow the user to withdraw the money ,pay bill,transfer money to other person or make a purchase anything by writing checks.Check accounts typically don't earn interest.By checking accounts we can easily deposit and withdraw money for daily transaction.

Saving accounts are intended for storing your money which you don't plan to use daily.saving accounts earns interest at your money.saving account is designed for the accumulation of money in a safe place for future use.saving accounts offer easy access to your money in any emergency.so keeping your money in a saving account means that your money is safe for your future use.

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(a) The height of the larger cylinder is 4 times the height of the smaller cylinder.

(b) The height of the larger cylinder will increase by a factor 4 when the diameters are different.

The volume of the smaller cylinder is given by:

V₁ = πr²h₁

where;

The volume of the larger cylinder is given by:

V₂ = πr²h₂

We know that V₂ is 4V₁;

πr²h₂ = 4πr²h₁

h₂ = 4h₁

The heights of the cylinders when the diameters are different;

πr₂²h₂ = 4πr₁²h₁

πd₂²h₂/4 = 4πd₁²h₁/4

πd₂²h₂= 4πd₁²h₁

h₂ = 4d₁²h₁/d₂²

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Answer:

I think it's c bc I had this before

Step-by-step explanation:

good luck

Answer:

7 kg and 35kg

Step-by-step explanation:

hope it helps

Answer:

geese

Step-by-step explanation:

geese=super geese

Answer:

Step-by-step explanation:

6x≤-37

x≤-37/6

x≤ -6 1/6

Answer:

a) x^2+6x-16

b)x^2-49

Step-by-step explanation:

a) x*x - 2x + 8x - 16

x^2 + 6x -16

b) x*x + 7x -7x - 49

x^2 - 49

Answer:

The is the graphic answer. Do it fast all the best

Step-by-step explanation:

23+35

37+83=4733

24783+3747

Answer:

1:3

Step-by-step explanation:

3:12 is the amount of shaded circles to all circles, 8:2 is basically the same thing as 3:12 and 9:3 is the amount of shaded circles to the amount of non-shaded circles.  1:3 wouldn't work because it is not the right ratio.

Answer:

3.87 miles

Step-by-step explanation:

The attached figure gives the relative locations of the courthouse, the library and the pool.

The three locations represent a right triangle with the distance between courthouse - pool as the hypotenuse and the distance between courthouse - library as the vertical leg

By the Pythagorean theorem if c is the hypotenuse and a, b the other two legs

\(c^2 = a^2 + b^2\)

a = distance between courthouse and library = 7 miles
c = distance between courthouse  and pool = 8 miles
and we have to find b

So plugging in known values
\(8^2 = 7^2 + b^2\\\\b^2 = 8^2 - 7^2\\\\b^2 = 64 - 49\\\\b^2 = 15\\\\b= \sqrt{15} = 3.87298 \approx 3.87 \;miles\)

Answer:

6 donuts are left in the box

Step-by-step explanation:

12 divided by 4 is 3. take those three out of the 12. you are left with nine. 9 divided by 3 is 3. subtract three from the nine. you are left with 6.

Given data:

The given number of names are n=5.

TEhe expression for the probability that Ross doesn't drew his

name is,

P(R')=4/5

Thus, the option (D) is correct.

The area inside the loop of the limacon given by r=7−14sinθ is 49π square units.

To find the area inside the loop of the limacon given by the polar equation r=7−14sinθ, we can use the following steps:

Find the points where the curve intersects the x-axis by setting r=0:

0 = 7 - 14sinθ

sinθ = 1/2

θ = π/6 or 11π/6

Find the limits of integration for θ by noting that the loop starts at θ=0 and ends at θ=2π:

θ limits: 0 ≤ θ ≤ 2π

Use the formula for the area of a polar region:

A = 1/2 ∫[a,b] r(θ)² dθ

where r(θ) is the polar equation and a and b are the limits of integration.

Rewrite the polar equation in terms of sinθ and cosθ:

r(θ) = 7 - 14sinθ

r(θ)² = (7 - 14sinθ)² = 49 - 196sinθ + 196sin²(θ)

= 196cos²(θ) - 196cos(θ) + 49

Substitute the limits of integration and evaluate the integral:

A = 1/2 ∫[0,2π] (196cos²(θ) - 196cos(θ) + 49) dθ

= 1/2 (98π)

Simplify the result to get the final answer:

A = 49π

Therefore, the area inside the loop of the limacon given by r=7−14sinθ is 49π square units.

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The net cash outflow for the installment note in the statement of cash flows for the year ended December 31, 2021 would be $8.488 million ($14.244 million payment minus $5.756 million interest inflow).

For the year ended December 31, 2021, the Merit Group would report the following amounts related to the installment note in its statement of cash flows:

- Cash outflow of $14.244 million for the first installment payment, which includes both principal and interest payments.
- Cash inflow of $5.756 million for the interest portion of the installment payment, which is calculated as 6% of the remaining principal balance of $45.756 million ($60 million original balance minus $14.244 million first payment).
- No cash flow related to the principal portion of the installment payment, as this is a non-cash item and does not impact cash flows.

Therefore, the net cash outflow for the installment note in the statement of cash flows for the year ended December 31, 2021 would be $8.488 million ($14.244 million payment minus $5.756 million interest inflow).

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Answer: Hope this helps!

Step-by-step explanation: To solve this problem you should take into the following steps :

1) Subtract fractions correctly as a cross-product

2) Rewrite the second-degree polynomials correctly.

3) Cancel terms that have the same exponent.

4) Make algebraic sums correctly.

M=3