Questions Below. Would Appreciate Help!

The total quantity demanded, q = q1 + q2, should be set such that the total cost is minimized and the price is maximized. The optimal solution is q1 = 20 and q2 = 30, so that the total cost is minimized and the price is maximized.

To maximize the company's profit, we must find the optimal quantity of q1 and q2 that minimizes the total cost and maximizes the price. We start by finding the total quantity demanded, q: q = q1 + q2. We can then use this equation to relate the price, p, and the total quantity, q, by substituting the equation for q into the equation for price: p = 50 - 0.04q. Next, we use the cost functions for each plant to find the total cost: C = C1 + C2. We can then use calculus to find the minimum total cost by taking the partial derivatives of C with respect to q1 and q2 and setting them equal to zero.Finally, we can use the equations for price and total cost together to find the optimal values for q1 and q2 that maximize the company's profit. The optimal solution is q1 = 20 and q2 = 30, so that the total cost is minimized and the price is maximized.

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The correct line of code that completes this operator which transforms a Point by dx and dy is shown below: Point operator+(int dx, int dy) { return Point(x_+dx,y_+dy);}Note that the function operator+ takes two arguments: an integer dx and an integer dy.

The function returns a point, which is created by adding dx to x and dy to y.The completed code is shown below:class Point { int x_{0}, y_{0};public: Point(int x, int y): x_{x}, y_{y} {} int x() const { return x_; } int y() const { return y_; }};Point operator+(int dx, int dy) { return Point(x_+dx,y_+dy);}Therefore, the correct answer is: `Point(x_+dx,y_+dy)`

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The main difference between non-numeric growing pattern and a non-numeric repeating pattern is that in non-numeric growing pattern, the change in symbols is the factor and in non-numeric repeating pattern, the repetition of symbols is the factor analysed.

A numeric pattern is a sequence of numbers.

Example : 1, 5, 9, 13, 17 (the rule is +4)

A non-numeric pattern doesn't involve numbers, but symbols or shapes. In a non-numeric growing pattern the number of symbol or shape is growing.

Example : %^ %^^ %^^^ %^^^^

In a non-numeric repeating pattern, the symbol or shape is repeating

Example : %^^^ %^^^ %^^^ %^^^

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The problem based on condition are solved using the unknown variables. The number of tickets sold to the student are 120 and the number of tickets sold to the adults are 200.

Given information-

The price of the tickets for the basketball game for adults is $4.00.

The price of the tickets for the basketball game for students is $2.50.

Variables are the unknown and the value of the variables depend on the other variables in the equation. The above problem can be solved defining the variables from the given condition.

Let the total tickets purchased by the students is x and the total tickets porches by the adults is y.

As the total tickets sold for the game is $320. Thus,

\(\begin{aligned}\\ x+y&=320\\ y&=320-x\\ \end\)                    .......1

Now as the total money with ticket selling is $1100. Thus,

\(2.5x+4y=110\)

Keep the value of u from the equation 1 in the above equation. We get,

\(\begin{aligned} 2.5x+4(320-x)&=1100\\ 2.5x+1280-4x&=1100\\ -1.5x&=1100-1280\\ -1.5x&=-180\\ x&=\dfrac{180}{1.5} \\ x&=120\\ \end\)

Thus the number of tickets sold to the student are 120.

Keep this value in equation 1,

\(y=320-x\\ y=320-120\\ y=200\)

Thus the number of tickets sold to the adults are 200.

Hence the number of tickets sold to the student are 120 and the number of tickets sold to the adults are 200.

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The ratio of corresponding sides for the given similar triangles is 2/5.

In the given options, the ratio of corresponding sides is provided for each set of similar triangles. Let's analyze each option to determine the correct ratio:

a. 10

This option only provides a single number and does not specify the ratio of corresponding sides. Therefore, it is not the correct answer.

b. 4/5

This option provides the ratio 4/5 for the corresponding sides of the similar triangles. However, the ratio can be simplified further.

To simplify the ratio, we divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 4 and 5 is 1.

Dividing 4 and 5 by 1, we get:

4 ÷ 1 = 4

5 ÷ 1 = 5

Therefore, the simplified ratio is 4/5.

c. 10/85

This option provides the ratio 10/85 for the corresponding sides of the similar triangles. However, this ratio cannot be simplified further, as 10 and 85 do not have a common factor other than 1.

Therefore, the correct ratio of corresponding sides for the given similar triangles is 2/5, as determined in option b.

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The probability that a randomly selected hot water heater has a life span of between 12 and 15 years is about 65.62%.

A Z-score is a numerical measurement that describes a cost's relationship to the suggestion of a group of values. Z-score is measured in terms of standard deviations from the suggested. If a Z-score is 0, it suggests that the statistics point's rating is identical to the mean rating.

According to the question;

Mean (μ) = 13 years

Standard deviation (σ) = 1.5 years

The z score can be used to find the probability of a random variable occurring over a normally distributed parameter if its mean and standard deviation is given. z = x- μ /  σ

The z score can then be used to find the probability of a randomly selected hot water heater lifespan being below that value: P ( Z < z)

First, find the z score for 12 and 15

z = 12 - 13 / 1.5 = - 0.6667

z = 15 - 13 / 1.5 = 1.333

Therefore,

P ( X < 12) = P ( Z < - 0.6667 ) ≈ 0.2525

P ( X < 15) = P ( Z < 1.333 ) ≈ 0.9087

To find the probability of a randomly selected hot water heater having a lifespan between 12 and 15 over this distribution, subtract the P for the lower value from the P for the higher value.

P ( - 0.6667 < X < 1.333 )  = P ( Z < 1.333 ) - P ( Z < - 0.6667 ) = 0.9087 - 0.2525 = 0.6562

P ( 12 < X < 15 ) ≈ 65.62%

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Answer:

-5

Step-by-step explanation:

5x+y=-4
-5x      -5x
y=-5x-4

slope intercept form = y=mx+b, where m=slope

and a line parallel to this line would have the same slope right

so i assume the answer to be -5

Answer:

A is 15, B is 1, and c is 4!

Step-by-step explanation:

This is because 15 (rooted number) would be the main focus, and since the x (normally by the rooted number) doesn't have a label (like 2x, 3x, etc.) it will be one. Then, the 4 (last number) is c (since it is on the outside and is likely the divisor.

Good luck!

The number of shaded blocks on figure 35 is given as follows:

148 blocks. (option 2).

An arithmetic sequence is a sequence of values in which the difference between consecutive terms is constant and is called common difference d.

The nth term of an arithmetic sequence is given by the explicit formula presented as follows:

\(a_n = a_1 + (n - 1)d\)

The first term of the sequence is the number of shaded blocks on Figure 1, which is of:

\(a_1 = 12\)

For each new figure, the number of blocks is increased by 4, hence the common difference is given as follows:

d = 4.

Then the number of shaded blocks on Figure n is given as follows:

\(a_n = 12 + 4(n - 1)\)

For Figure 35, the number of blocks is given as follows:

12 + 4 x 34 = 148 blocks.

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3 burritos would cost $23.31.

Let's assume that the cost of one taco is "t" and

the cost of one burrito is "b".

Then we can set up a system of two equations based on the given information:

4t + 6b = 62.58

7t + 5b = 66.78

Solving simultaneously using a calculator results to

t = 3.99

b = 7.77

Therefore, one burrito costs $7.77.

To find the cost of 3 burritos, we can multiply the cost of one burrito by 3:

3 * $7.77 = $23.31

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Given:

The vertices of a right triangle are:

\((-3,4),(3,4),(3,-4)\)

To find:

The length of the hypotenuse of the given right triangle.

Solution:

Let the vertices of the right triangle are \(A(-3,4),B(3,4),C(3,-4)\).

The distance formula is:

\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Using distance formula, we get

\(AB=\sqrt{(3-(-3))^2+(4-4)^2}\)

\(AB=\sqrt{(3+3)^2+(0)^2}\)

\(AB=\sqrt{(6)^2+0}\)

\(AB=\sqrt{36}\)

\(AB=6\)

Similarly,

\(BC=\sqrt{(3-3)^2+(-4-4)^2}\)

\(BC=\sqrt{(0)^2+(-8)^2}\)

\(BC=\sqrt{64}\)

\(BC=8\)

And,

\(AC=\sqrt{(3-(-3))^2+(-4-4)^2}\)

\(AC=\sqrt{(6)^2+(-8)^2}\)

\(AC=\sqrt{36+64}\)

\(AC=\sqrt{100}\)

\(AC=10\)

Now, taking sum of squares of two smaller sides, we get

\(AB^2+BC^2=6^2+8^2\)

\(AB^2+BC^2=36+64\)

\(AB^2+BC^2=100\)

\(AB^2+BC^2=AC^2\)

By the definition of the Pythagoras theorem, AC is the hypotenuse of the given triangle.

Therefore, the length of the hypotenuse is 10 units.

The closest solution to this total among the available possibilities is 0.68, indicating that the portfolio is likely to surpass its benchmark in three or fewer quarters over the course of a year.

The field of mathematics concerned with probability is known as probability theory. Although there are various distinct interpretations of probability, probability theory approaches the idea rigorously mathematically by articulating it through a set of axioms.

Here,

The probability that the portfolio outperforms its benchmark in three or fewer quarters over the course of a year is the sum of the probabilities of outperforming the benchmark in exactly 0 quarters, 1 quarter, 2 quarters, and 3 quarters.

Since the probability of outperforming the benchmark in any quarter is 0.75, the probability of not outperforming the benchmark in a quarter is 1 - 0.75 = 0.25.

The probability of not outperforming the benchmark in exactly 0 quarters is 0.25⁰ = 1

The probability of not outperforming the benchmark in exactly 1 quarter is 0.25¹= 0.25

The probability of not outperforming the benchmark in exactly 2 quarters is 0.25² = 0.0625

The probability of not outperforming the benchmark in exactly 3 quarters is 0.25³ = 0.015625

So, the probability of outperforming the benchmark in exactly 0 quarters, 1 quarter, 2 quarters, and 3 quarters is 1 - 0.25⁰, 1 - 0.25¹, 1 - 0.25², and 1 - 0.25³, respectively.

The sum of these probabilities is the probability of outperforming the benchmark in three or fewer quarters over the course of a year:

P(outperform in three or fewer quarters) = 1 - 0.25⁰ + 1 - 0.25¹ + 1 - 0.25² + 1 - 0.25³

This expression can be calculated to get an exact answer, but to get the closest answer to the options given, we can round off the intermediate results to 2 decimal places:

P(outperform in three or fewer quarters) = 1 + 0.75 + 0.94 + 0.98

The closest answer to this sum among the options given is 0.68, so the probability that the portfolio outperforms its benchmark in three or fewer quarters over the course of a year is closest to 0.68.

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\(\cfrac{89.40~~ - ~~\stackrel{ \textit{minus the tax of each} }{0.50-0.50-0.50-0.50-0.50-0.50}}{6}\implies \cfrac{86.40}{6}\implies \stackrel{ each }{14.40}\)

Answer:

i guess it is "not enough information"

Answer:

x=5

Step-by-step explanation:

5-3=2

Should I simplify? Get  the factor? Multiply? Evaluate? Can you tell me?

The areas of the sectors are:

For an arc length of 2π, the area of the sector is 6π square units.

For an arc length of 3π, the area of the sector is 9π square units.

For an arc length of 4π, the area of the sector is 6π square units.

For an arc length of π, the area of the sector is 3π/2 square units.

The total circumference of the circle is given by:

C = 2πr = 2π(6) = 12π

The total area of the circle is given by:

A = πr^2 = π(6^2) = 36π

To find the area of a sector, we need to know the central angle θ that defines the arc length. The central angle θ is measured in radians and is related to the arc length s and the radius r by the formula:

θ = s/r

So, the area of the sector is given by:

A_sector = (θ/2π)A

where A is the total area of the circle.

Let's find the area of the sector for different arc lengths:

For an arc length of s = 2π, the central angle is:

θ = s/r = 2π/6 = π/3

The area of the sector is:

A_sector = (π/3)/(2π) * 36π = 6π

For an arc length of s = 3π, the central angle is:

θ = s/r = 3π/6 = π/2

The area of the sector is:

A_sector = (π/2)/(2π) * 36π = 18π/2 = 9π

For an arc length of s = 4π, the central angle is:

θ = s/r = 4π/6 = 2π/3

The area of the sector is:

A_sector = (2π/3)/(2π) * 36π = 12π/2 = 6π

For an arc length of s = π, the central angle is:

θ = s/r = π/6

The area of the sector is:

A_sector = (π/6)/(2π) * 36π = 3π/2

So, the areas of the sectors are:

For an arc length of 2π, the area of the sector is 6π square units.

For an arc length of 3π, the area of the sector is 9π square units.

For an arc length of 4π, the area of the sector is 6π square units.

For an arc length of π, the area of the sector is 3π/2 square units.

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Answer:

To simplify, remove parentheses. It will equal 3x+33. Hope this is what you are looking for!

Step-by-step explanation:

Answer:

First you’d put in 3 and multiply it to whatever’s in the parentheses. So 3 times x is 3x and then 3 times 11 is 33 so it would be 3x+33 I think. Not sure though.

Step-by-step explanation:

Answer:

98.88

Step-by-step explanation:

98.88 bru :)                              hope this helps you out bro.

The value of k from the equation is k = -20

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

y = kx   be equation (1)

Let the first point be P ( 4 , -80 )

Substituting the values in the equation , we get

-80 = 4k

Divide by 4 on both sides of the equation , we get

k = - ( 80/4 )

On simplifying the equation , we get

k = -20

Hence , the equation is k = -20

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Answer:

4. rise

match the following definition with the correct term:

the vertical distance between two points on a line

1. run

2. rate of run

3. slope

4. rise

Check the picture below.

The requried measure of the angle m∠C in the given circle is 15°.

In the given circle the m∠DFB is 41°, mArc EF is 52°
To find out the measure of the angle m∠C.

Following the properties of arcs in the circle,
arc BD = 2m∠BFD
arc BD=2*41 = 82

Now we know that,
The angle subtended by two sectants drawn from the single point that lies outside the circle is given by the difference in larger and minor arcs divided by 2.

∠c= BD- EF / 2
∠c = 82°-52°/2
∠c = 15°

Thus, the requried measure of the angle m∠C in the given circle is 15°.

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Answer:

Step-by-step explanation:

68 = opp/7

opp= 7tan68

opp= 17•2cm

Answer:

x=14 and y=37

Step-by-step explanation:

Answer:

The 15% tip is $3.90

Step-by-step explanation:

To find 15% of $26, multiply .15 × 26

You get 3.9 that is $3.90. (If we aren't talking about dollars$, then sorry, but the numbers/math is the same)

If you're at the table and everyone's phone is dead (so no calculators), then find 10%:

10% of 26.00 is 2.60 (just move the decimal to the left one place)

Cut it in half to find 5%:

Half of 2.60 is 1.30

Add them together:



2.60 + 1.30 is 3.90

15% of 26 is 3.90

The height of the cone needs to be approximately 4.5 inches to have the same volume as the cup, which has a width of 3 inches and a height of 2 inches.

To determine the required height of the cone, we can use the formula for the volume of a cone, which is \(\frac 13 * \pi * r^2 * h\), where r is the radius and h is the height of the cone.

Given that the cup has a width of 3 inches, we can calculate the radius of the cup by dividing the width by 2, which gives us 1.5 inches. Therefore, the radius of the cup is 1.5 inches.

Since we want the cone to have the same width as the cup, the radius of the cone should also be 1.5 inches.

Now, let's substitute the values into the volume formula for the cup: \(\frac 13 * \pi * (1.5)^2 * 2\). The volume of the cup is approximately 7.07 cubic inches.

To find the required height of the cone, we can rearrange the volume formula and solve for h:

\(h = \frac {3 * volume} {\pi * r^2}\).

Plugging in the values, we get \(h = \frac {3 * 7.07}{\pi * (1.5)^2}\), which simplifies to h = 4.5 inches.

Therefore, the height of the cone needs to be approximately 4.5 inches to hold the same amount of ice cream as the cup with a width of 3 inches and a height of 2 inches.

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The value that is added on the left-hand side to make the equation equal is -1/100.

In mathematics, an expression is a group of numbers and operations. The components of a mathematical expression that perform an operation are as follows: multiplication, division, addition, and subtraction.

Given [1/-2  - 3/4  of -8/15],

to add a number so the sum equals the product of -7/50 and 11/14

let the number be x

according to the question,

[1/-2  - 3/4  of -8/15] + x = -7/50*11/14

taking LHS

[1/-2  - 3/4  of -8/15] = -1/2 - (3(-8)/60)

[1/-2  - 3/4  of -8/15] = -1/2 + 24/60

[1/-2  - 3/4  of -8/15] = (-30 + 24)/60

[1/-2  - 3/4  of -8/15] =-6/60 = -1/10

RHS

-7/50*11/14 = -77/700 = -11/100

substitute the values

[1/-2  - 3/4  of -8/15] + x = -7/50*11/14

-1/10 + x = -11/100

x = -11/100 + 1/10

x = (-11 + 10)/100

x = -1/100

Hence -1/100 is added to make the equation equal.

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Answer:

Guido tiene 9 años, Andrés tiene 36 años y David tiene 3 años.

Step-by-step explanation:

Con la información proporcionada, sabes que la edad de los tres suma 48, lo que se puede expresar como:

x+y+z=48, donde:

x es la edad de Guido

y es la edad de Andrés

z es la edad de David

Además, de acuerdo al enunciado puedes decir que la edad del papá Andrés es cuatro veces la edad de Guido y que la edad de David es la tercera parte de la edad de Guido y puedes escribir las siguientes ecuaciones:

y=4x

z=x/3

Ahora puedes reemplazar estas dos ecuaciones en la primera y despejar x:

x+4x+x/3=48

5x+x/3=48

16x/3=48

16x=48*3

16x=144

x=144/16

x=9

Después, puedes reemplazar el valor de x en y=4x para encontrar el valor de y:

y=4x

y=4*(9)

y=36

Finalmente, debes reemplazar el valor de x en z=x/3 para encontrar el valor de z:

z=x/3

z=9/3

z=3

De acuerdo a esto, Guido tiene 9 años, Andrés tiene 36 años y David tiene 3 años.