The Pear company sells pPhones. The cost to manufacture Iphones isC(x)= -21x^2+52000x + 20940dollars (this includes overhead costs and production costsfor each pPhone). If the company sells pPhones for the maximum price they can fetch, therevenue function will be R(x) = -29x^2+ 196000x dollars.How many pPhones should the Pear company produce and sell to maximimze profit? (Rememberthat profit-revenue-cost)

The correct simplification of (6x − 5)(2x2 − 3x − 6)  is 12x^3 - 28x^2 - 21x + 30.

To simplify the expression (6x - 5)(2x^2 - 3x - 6), we first need to distribute the terms inside the parentheses. And then using the distributive property, we multiply each term of the first expression (6x - 5) by each term of the second expression (2x^2 - 3x - 6) and combine like terms. The simplified expression is obtained by multiplying the coefficients and adding the exponents of like terms. Therefore, the correct simplification is 12x^3 - 28x^2 - 21x + 30.

To know more about distributive property here: brainly.com/question/30321732

#SPJ11

Answer:

$1620

Step-by-step explanation:

The area of the lawn is a trapezoid.

Area of a trapezoid = \(\dfrac12(a+b)h\)

where a and b are the parallel sides (bases) and h is the height

Therefore,

\(area=\dfrac12(15+12) \times 10 = 135 \ m^2\)

If the price of sod is $12 per square meter, then

total cost = 135 x 12 = $1620

Answer:

Area:-

\(\\ \tt\hookrightarrow \dfrac{1}{2}(15+12)\times 10=1/2(27)(10)=13.5(10)=135m^2\)

Now rate of cost is $12

The height of the center of the arch is 24.49 meters if the fly sits on the arch 25 meters above a point on the ground that is 5 meters.

The width of arc = 30 m

The distance from the fly to the center of the arch = 25 m

The base of triangle = 5 m

To calculate the height of the arch,, we can use the formula of a parabolic shape.

Assuming that a triangle is formed, by width and center of fly from arch. We can use Pythagorean theorem to calculate the height of the center.

Using the Pythagorean theorem

\(hypotenuse^2 = base^2 + height^2\)

\(25^2 = 5^2 + height^2\)

625 = 25 + \(height^2\)

600 = \(height^2\)

height = \(\sqrt{600}\)

height = 24.49 meters

Therefore, we can conclude that the height of the center of the arch is 24.49 meters.

To learn more about Pythagorean theorem

https://brainly.com/question/14930619

#SPJ4

Answer:

-2

Step-by-step explanation:

-5  -4  -3  -2  -1  0  1  2 3  4  5

A graphical device used for enumerating sample points in a multiple-step experiment is a tree diagram.

A tree diagram is a visual representation that helps organize and enumerate all possible outcomes or sample points in a multi-step or sequential experiment. It consists of branches or lines that represent different choices or events at each step of the experiment, and the branches split and multiply as the experiment progresses. The final outcomes or sample points are represented as endpoints of the branches.

Tree diagrams are commonly used in probability theory and statistics to calculate probabilities and analyze complex experiments involving multiple stages or events. They provide a clear and systematic way to visualize and enumerate all possible outcomes, making them a helpful tool in analyzing and solving probability problems.

To know more about enumerating sample points,

https://brainly.com/question/32819978

#SPJ11

The expression when evaluated is 11.4

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

Solve four and six tenths plus six and eight tenths = ___.

Express as numbers and operators

So, we have the following representation

4.6 + 6.8 =

Evaluate the expression

4.6 + 6.8 = 11.4

HEnce, the solution is 11.4

Read more about expression at

https://brainly.com/question/15775046

#SPJ1

Answer:

39 miles per hour

Step-by-step explanation:

The equation is

Speed = distance/time

We take

117 / 3 = 39 miles per hour

So, the average speed is 39 miles per hour.

(1,2,4)

Range describes the y-values of a graph.

Range

Range is the y-values that a graph covers. Remember that the y-values are found on the vertical axis. If the graph is not continuous, then the values between the points are not included in the range. Similar to the range, the domain of a graph is the x-values that a graph covers. If there is a coordinate point with a y-value, then that y-value should be included in the range.

Finding Range

In order to find the range, we need to find all the unique y-values of the graph. Additionally, the range is given in numerical order. This means starting from the least value and going up to the greatest. The lowest y-value is 1, then 2, and finally 4. Even though there are two points where y = 2, we are only looking for unique values. This means that the range is (1,2,4).

Answer:

11 blocks

Step-by-step explanation:

An orthographic drawing represents a three dimensional figure with three separate views as the top view, front view and right side view. Therefore, it's true.

It should be noted that the segment that will be congruent to segment KM is LN. Congruence illustrates that they're identical.

The measure of the vertical angles are given. The value of x will be:

8x - 6 = 4x + 10

8x - 4x = 10 + 6

4x = 16

x = 16/4

x = 4

Therefore x is 4.

Learn more about drawing in:

brainly.com/question/1578444

#SPJ1

The true statement is (C) the biased coin has about a 33% probability of displaying tails.

To find the true statement:

Therefore, the true statement is (C) the biased coin has about a 33% probability of displaying tails.

Know more about probability here:

https://brainly.com/question/24756209

#SPJ4

The correct question is given below:
A coin is biased such that it results in 2 heads out of every 3 coin flips, on average. Which statement is true?

A.)The theoretical probability of getting heads from an unbiased coin is about 66%.

B.)The sequence HTHTTHTTT is valid for the biased coin.

C.)The biased coin has about a 33% probability of displaying tails.

D.)The sequence HTTHTHTHT is valid for the biased coin.

this picture would help you man stay strong

At Arcade Palace, each video game token costs 0.25.

At Arcade Palace, a child can buy 16 video game tokens for 4.

The total number or cost of something is the number or cost that you get when you add together or count all the parts

in it.

A number is a mathematical value used for counting or measuring or labeling objects. Numbers are used to performing

arithmetic calculations.

To find the cost per token, follow these steps:

Determine the total number of tokens (16) and the total cost (4).

Divide the total cost by the total number of tokens to find the cost per token.

In this case, 4 ÷ 16 tokens = 0.25 per token.

Therefore, at Arcade Palace, each video game token costs 0.25.

for such more question on token costs

https://brainly.com/question/25109150

#SPJ11

Answer:

(-9,6), (3,6), (3,-12) The dilation is an enlargement.

Step-by-step explanation:

-3x3=-9

2x3=6

1x3=3

2x3=6

1x3=3

-4x3=-12

The broker may be held liable for violating the Fair Housing Act if it is proven that they intentionally engaged in discriminatory practices based on race or any other protected characteristic.

Step 1: The salesperson scheduled showings for Couple A in a predominantly Caucasian neighborhood and Couple B in a more diverse neighborhood.

Step 2: It was discovered that the couples were HUD testers, and a discrimination complaint was filed.

Step 3: Under the Federal Fair Housing Act, the broker may be held liable for violating the law if it is proven that they intentionally engaged in discriminatory practices based on race or any other protected characteristic.

Step 4: The Fair Housing Act prohibits discrimination in housing based on race, color, religion, sex, national origin, disability, or familial status.

Step 5: If it can be demonstrated that the broker treated Couple A and Couple B differently based on their race or any other protected characteristic, they may be found in violation of the Fair Housing Act.

Therefore, the outcome of the case would depend on the evidence presented and whether it can be proven that the broker intentionally engaged in discriminatory practices. If found guilty, the broker may face legal consequences, such as fines or other penalties, for violating the Fair Housing Act.

To know more about Fair Housing Act, visit:

https://brainly.com/question/30767792

#SPJ11

Answer:

a=8cm

Step-by-step explanation:

Because the triangles are similar, you can set the sides to be proportional

1. 16/16=8/a

2. If you cross multiply that mean that a=8

The measure of the major arc JLK will be 206°. Then the correct option is B.

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

The measure of the minor arc JK will be 154°.

Then the sum of the major arc and minor arc in a circle is 360°.

Then the major arc JLK will be given as,

JLK + JK = 360°

JLK + 154° = 360°

JLK = 206°

The measure of the major arc JLK will be 206°. Then the correct option is B.

Your question was incomplete, but the complete question was attached below.

More about the angled link is given below.

https://brainly.com/question/15767203

#SPJ4

Answer:

A scare factor is a shape that has to do with the measures.

Step-by-step explanation:

The work done by force f in moving a particle counterclockwise around the given curve is zero.

The given force \(f = (x-5y)i + (5x-y)j\) is a conservative force. A conservative force is characterized by having a curl of zero, indicating that it can be derived from a potential function. For conservative forces, the work done over a closed path is always zero.

In this case, the particle moves counterclockwise around the circle defined by \((x-4)^2 + (y-4)^2 = 16\). Since the force f is conservative, the work done by f on the particle is independent of the path taken and depends only on the initial and final positions of the particle.

As the particle completes one counterclockwise revolution around the circle, it returns to its initial position. Therefore, the work done by force f is zero, indicating that the force does not transfer any energy to or from the particle.

Learn more about Given curve

brainly.com/question/31029589

#SPJ11

the equation is of the form y = mx + b, where m = slope and b = intercpt, in this case, for the equation

we have:

slope = - 1.2

intercept = 26

The midpoint DP is 14 and DE is 28.

The midpoint is the point that divides a line or segment into two same or equal sections. When a line has length A and the midpoints should be :

A/2

From the question we know that :

P is the midpoint of DE

DP = 3x + 2

DE = 10x - 12

By applying the midpoint rule, we get

DP = 1/2 x DE

3x + 2 = 1/2 (10x - 12)

3x + 2 = 5x - 6

2x = 8

x = 4

Substitute x to DP and DE

DP = 3x + 2

DP = 3(4) + 2

DP = 12 + 2

DP = 14

DE = 10x - 12

DE = 10(4) - 12

DE = 40 - 12

DE = 28

Hence, the length of midpoint DP is 14 and DE is 28.

Find out more on midpoint at: https://brainly.com/question/8943202

#SPJ4

1. The concavity test states that if the second derivative of a function is positive on an interval, then the function is concave up on that interval. If the second derivative is negative, then the function is concave down on that interval.

2. If m is a local minimum of the function f(x), it means that f(m) is the smallest value of f(x) in some neighborhood of m.

3. If f is an injective function and f'(f⁻¹(a)) ≠ 0, then the formula for (f⁻¹)'(a) is 1 / f'(f⁻¹(a)).

4. The expression e can be defined as the limit of (1 + 1/n)^n as n approaches infinity.

5. False.
6. False.
7. True.
8. False.
9. True.
10. True.
11. False.
12. False.
13. False.
14. False.

 To  learn  more  about derivative click here:brainly.com/question/30365299

#SPJ11

Answer:

7

Step-by-step explanation:

Answer:

if it's multiple it will take her 46.26

The graph of your equation: [See in attachment]

What is graph?

A graph is a structure that resembles a set of items in discrete mathematics, more especially in graph theory, in which certain pairs of the objects are conceptually "connected." The items are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.

A graph is a structure that resembles a set of items in discrete mathematics, more especially in graph theory, in which certain pairs of the objects are conceptually "connected." The items are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.

To learn more about graph visit:https://brainly.com/question/17267403

#SPJ4

Answer:

y=32

Step-by-step explanation:

substitute x for (-4)

(2 x -4)^2= 32

The solution to the system of equations is x = -3 and y = 2. The y-value of the solution is 2

To find the y-value of the solution to the system of equations, we can solve the system using any suitable method such as substitution or elimination.

Given system of equations:

3x + 5y = 1

7x + 4y = -13

Let's use the method of elimination to solve the system:

Multiply equation 1 by 4 and equation 2 by 5 to make the coefficients of y in both equations equal:

4(3x + 5y) = 4(1) --> 12x + 20y = 4

5(7x + 4y) = 5(-13) --> 35x + 20y = -65

Now, subtract equation 1 from equation 2 to eliminate the y term:

(35x + 20y) - (12x + 20y) = -65 - 4

35x - 12x = -69

23x = -69

x = -69/23

x = -3

Substitute the value of x into equation 1 to find y:

3(-3) + 5y = 1

-9 + 5y = 1

5y = 1 + 9

5y = 10

y = 10/5

y = 2

Therefore, the solution to the system of equations is x = -3 and y = 2. The y-value of the solution is 2.

For more details of equations :

https://brainly.com/question/21620502

#SPJ4

As per the given standard deviation, the confidence interval is 495.84, upper bound is $65,495.8 and the lower bound is $64,504.2

Confidence interval

Confidence interval means a range of values, bounded above and below the statistic's mean, that likely would contain an unknown population parameter.

Given,

A student at another business school surveys 100 of 1000 graduates from last year and asks about their salaries. the researcher finds that the average income is $65, 000, with a standard deviation of $8000.

Here we need to find the confidence interval lower and upper bounds if you wanted to be 95% sure that the real mean of all 1000 students is within a range of the sample mean.

While we looking into the given question, we have identified the following values,

standard deviation = $8,000

Average income = $65,000

Sample size = 1000

Confidence level = 95%

Then the value of confidence interval is calculated by the formula,

Then we get the value of

Lower bound = 64504.2

Upper bound = 65495.8

Confidence interval (±) = 495.84

To know more about Confidence interval here.

https://brainly.com/question/24131141

#SPJ4