Can someone find x and y pls

The values of x and y that maximize the total revenue are approximately 3600 units of A and 3200 units of B.

We are given that;

Function R(x,y)=-5x2-8y2-2xy + 42x+102y

Now,

To maximize the total revenue from x units of A and y units of B, we need to find the values of x and y that maximize the function R(x,y)=-5x2-8y2-2xy + 42x+102y. This is an optimization problem with two variables.

To solve this problem, we need to find the critical points of R(x,y) by taking partial derivatives with respect to x and y and setting them equal to zero.

R_x = -10x - 2y + 42 = 0

R_y = -16y - 2x + 102 = 0

Solving these equations simultaneously gives us:

x = 3.6

y = 3.2

Therefore, by the given function the answer will be 3600 units of A and 3200 units of B.

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Answer:

0

Step-by-step explanation:

the range is the 'possible numbers' that the graph can take in relation to the y-axis.

this graph is a -Bx² graph (B is just any number, -x² since it's an x² graph upturned). the graph does not go any higher than 1 in the y-axis direction. so, 0 is the answer.

ps the range of this graph will be y ≤ 1

Answer:

23.685

Step-by-step explanation:

Ok, lets convert them into fractions

78.95=7895/100

0.3=3/10

7895*3/1000

7895*3=21000+2400+270+15=23685

23685/1000=23.685

well, let's notice that A F, B G and C E all converge at point D, without much fuss, that simply means they're all medians, because all medians in a triangle meet at the centroid.

Answer:

  28

Step-by-step explanation:

You want to know what 20% of 140 is.

The % symbol can be considered to mean "/100". This means ...

  20% = 20/100

and 20% of 140 is ...

  20% × 140 = 20/100 × 140 = 2800/100 = 28

There are 28 students in the Environmental Club.

__

Additional comment

You know that 10% is 1/10. This fraction can of 140 can be found by moving the decimal point one place left:

  10% of 140. = 14.0

Of course, 20% is twice as much, so ...

  20% of 140 = 2 × (10% of 140) = 2 × 14 = 28

In this context, "of" means "times": 20% of 140 means 20% × 140.

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Answer:

Step-by-step explanation:

Financial statements can help small businesses pinpoint their weak points, plan for expansion, and find new partners or investors.

Financial statements are an essential tool for communicating with important parties, such as lenders, suppliers, and investors. Maintaining accurate financial records is essential to the survival and expansion of small businesses.

The financial health, performance, and profitability of the organization are shown by accurate and trustworthy financial accounts. Stakeholders can use them to make well-informed decisions on the business's creditworthiness, investment prospects, and loan repayment capacity.

Financial statements can help small businesses pinpoint their weak points, plan for expansion, and find new partners or investors.

Small firms may find it difficult to win the trust and support of stakeholders without appropriate financial record keeping and transparent statements, which will impede their chances of survival and expansion.

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Answer:

know side: 3

Unknown side: 5

Answer: The trigonometric ratio that I would use to find the distance from the base of the tower to the keys is the tangent; tan (86°) = height / distance.

Explanation and calculation:

You can draw a right triangle with angle 86°, opposite leg equal to the height (50 meter) and adjacent leg equal to the distance from the base of the tower to the keys: tan (86°) = 50 m / x

=> x = 50 m / tan(86°)

x = 50 m / 14.30 = 0.98 m

Answer: 0.98 m

Answer:

a) The time taken for the ball to reach John is: 10/x seconds.

b) The time taken for the ball to go from John to Pierre is: 15/(x - 0.5) seconds.

c) The equation that shows the total time taken from Ahmed to Pierre simplifies to 2x^2 - 9x - 2 = 0.

Step-by-step explanation:

a) The time taken for the ball to reach John can be calculated using the formula:

time = distance / speed

Since the distance traveled by the ball is 10m and the speed is x m/s, the time taken can be expressed as:

time = 10 / x seconds

b) The time taken for the ball to go from John to Pierre can be expressed as:

time = distance / speed

Since the distance traveled by the ball is 15m and the speed is 0.5 m/s less than the speed at which the ball traveled from Ahmed to John (i.e. x - 0.5 m/s), the time taken can be expressed as:

time = 15 / (x - 0.5) seconds

c) Let's use the information given to write an equation for the total time taken from Ahmed to Pierre. We know that the time taken for the ball to travel from Ahmed to John is 10/x seconds, the time taken for the ball to travel from John to Pierre is 15/(x-0.5) seconds, and the time taken between John catching the ball and throwing it to Pierre is 2 seconds. Therefore, the total time taken can be expressed as:

10/x + 15/(x-0.5) + 2 = 7

Multiplying both sides by x(x-0.5) to get rid of the denominators, we get:

10(x-0.5) + 15x + 2x(x-0.5) = 7x(x-0.5)

Simplifying and rearranging, we get:

2x^2 - 9x - 2 = 0

Therefore, the equation simplifies to 2x^2 - 9x - 2 = 0.

Answer: 26

Step-by-step explanation:

The closest number of values above 91 is 23.

We have,

To find the closest number of values that would be above 91 in a normal distribution with a mean of 75 and a standard deviation of 8, we need to calculate the z-score for the value 91 and then find the proportion of values above that z-score.

The formula for calculating the z-score is:

z = (x - mean) / standard deviation

where x is the value of interest, the mean is the mean of the distribution, and the standard deviation is the standard deviation of the distribution.

In this case,

x = 91, mean = 75, and standard deviation = 8.

Plugging these values into the formula, we get:

z = (91 - 75) / 8 = 2

To find the proportion of values above a z-score of 2, we can refer to the z-table or use a calculator that provides the cumulative distribution function (CDF) for the standard normal distribution.

Looking up the z-score of 2 in the z-table or using a calculator, we find that the proportion of values above a z-score of 2 is approximately 0.0228.

To determine the number of values above 91 in a distribution of 1027 values, we multiply the proportion above 91 (0.0228) by the total number of values (1027):

Number of values above 91 = 0.0228 x 1027 ≈ 23.47

Since we are looking for the closest whole number, the closest number of values above 91 would be 23.

Therefore,

The closest number of values above 91 is 23.

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you will have put approximately $1,014,706.40 into the account over the 35 years. The interest will you have earned is -$714,706.40.

To calculate the amount you need to deposit each quarter, we can use the formula for the future value of a series of regular deposits:

FV = P * ((1 + r)^n - 1) / r

Where:

FV is the future value (target amount) you want to achieve ($300,000.00)

P is the deposit amount per quarter (what we need to find)

r is the interest rate per quarter (8% or 0.08)

n is the number of quarters (35 years * 4 quarters per year = 140 quarters)

Now, let's substitute the values into the formula and solve for P:

$300,000.00 = P * ((1 + 0.08)^140 - 1) / 0.08

$300,000.00 * 0.08 = P * ((1.08)^140 - 1)

$24,000.00 = P * (4.31793257 - 1)

$24,000.00 = P * 3.31793257

P = $24,000.00 / 3.31793257

P ≈ $7,243.21

Therefore, you would need to deposit approximately $7,243.21 into the account each quarter to accumulate $300,000.00 for retirement in 35 years.

To calculate the total amount of money you will have put into the account over the 35 years, you can multiply the deposit amount per quarter by the number of quarters:

Total deposit = P * n = $7,243.21 * 140 = $1,014,706.40

Therefore, you will have put approximately $1,014,706.40 into the account over the 35 years.

To calculate the interest earned, you can subtract the total deposit amount from the target amount:

Interest earned = Future value - Total deposit = $300,000.00 - $1,014,706.40 = -$714,706.40

The negative value indicates that the interest earned is negative, meaning that you will have fallen short of your target amount by $714,706.40 due to the interest earned being less than the total deposit made.

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The balance of the account after 12 years is given as follows:

$9,111.

The balance of an account after t years, using continuous compounding, is given by the exponential equation presented as follows:

[tex]A(t) = A(0)e^{kt}[/tex]

In which the parameters are given as follows:

The parameter values for this problem are given as follows:

A(0) = 5000, k = 0.025, t = 12.

Hence the balance of the account after 12 years is given as follows:

[tex]A(t) = A(0)e^{kt}[/tex]

[tex]A(12) = 5000e^{0.025 \times 24}[/tex]

A(12) = $9,111.

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To design a simulation to estimate the probability that a randomly chosen male will be color blind, you can follow these steps:

Set up the simulation: Determine the number of males to include in your simulation. Let's say you choose to simulate 10,000 males.

Generate random color blindness: Use a random number generator to assign color blindness status to each simulated male. Since color blindness occurs in 4% of the male population, you can randomly assign color blindness to approximately 4% of the males in your simulation.

Count the number of color-blind males: Iterate through the simulated males and count the number of males who are color blind.

Calculate the probability: Divide the count of color-blind males by the total number of males in the simulation to obtain the estimated probability. Multiply the result by 100 to express it as a percentage.

Here's a Python code snippet to illustrate this simulation:

import random

num_simulated_males = 10000

num_color_blind_males = 0

for _ in range(num_simulated_males):

   if random.random() <= 0.04:  # Probability of being color blind

       num_color_blind_males += 1

probability_color_blind = (num_color_blind_males / num_simulated_males) * 100

print(f"Estimated probability of a randomly chosen male being color blind: {probability_color_blind:.2f}%")

Keep in mind that this simulation provides an estimate based on the assumed probability of 4% for color blindness in the male population. The actual probability may vary slightly, but running the simulation with a large number of simulated males should yield a reasonably accurate estimate.

The slope of a line is positive with a value of 3/2 or 1.5.

The slope of the line is the ratio of the rise to the run, or rise divided by the run.

The slope of a line is used to describe the steepness and direction of the line.

Mathematically, the formula for the slope of a line is given as;

slope = Δy / Δx

where;

The slope equation is expanded as follows;

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

From the graph, the values of x and y is determined as;

( x₁, y₁ ) = ( - 2, 0 )

( x₂, y₂) = ( 0, 3 )

The slope of the line is calculated as follows;

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

m = ( 3 - 0 ) / ( 0 - - 2)

m = 3 / 2

m = 1.5

Thus, the line has a positive slope.

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The complete question is below:

What is the slope of the line? type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

Answer:

See below for answer and explanation

Step-by-step explanation:

The Intermediate Value Theorem (IVT) states that there is a value [tex]c[/tex] in [tex][a,b][/tex] such that [tex]f(c)=0[/tex]. Because [tex]f(0)=0^2+5(0)-4=-4[/tex] and [tex]f(2)=2^2+5(2)-4=10[/tex], this must mean that 0 is in between -4 and 10, which concludes that there is a zero over the interval [0,2] for the given function by IVT.

Okay!

In the given diagram, we have two intersecting lines. To determine the relationship between the angles and solve for x, we can use the properties of angles formed by intersecting lines.

From the diagram, we can see that angle K is vertically opposite to the angle (4x-10)°. In a case of intersecting lines, vertically opposite angles are equal.

So, we can write:

K = (4x-10)°

To solve for x, we need more information or another equation involving x. Without any additional equations or information, we cannot determine the value of x.

If you have any additional equations or information related to the problem, please provide them, and I'll be happy to assist you further in solving for x.

The minimum amount of vinyl needed for the liner is 502.4 sq. feet.

We have,

An open cylinder is a type of cylinder in which one of its circular surfaces has been removed.

Thus its area can be determined as:

area of an open cylinder = πr² + 2πrh

where r is the radius, and h is the height.

The area of the swimming pool that will be covered by vinyl liner resembles an open cylinder. So that;

area of the open swimming pool = πr² + 2πrh

                                                = πr(r + 2h)

we have,

r = diameter/ 2

= 20/ 2

r = 10 feet

area of the open swimming pool = 3.14×10(10 + 2×3)

                                                   = 31.4×16

                                                   = 502.4

The minimum amount of vinyl needed for the liner is 502.4 sq. feet.

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when x < 5, we can simplify it as -(x - 5) because (x - 5) is negative.

We have,

Absolute value:

The absolute value of a number represents its distance from zero on the number line. It is always a non-negative value.

For example, the absolute value of 3 is 3, and the absolute value of -3 is also 3.

|x - 5|:

In this expression, we have the absolute value of the quantity (x - 5).

It means that we are looking at the distance between x and 5 on the number line.

x < 5:

The condition x < 5 states that x is less than 5.

It means that x is located to the left of 5 on the number line.

Simplification:

When x is less than 5, it implies that x is located to the left of 5.

In this case,

The quantity (x - 5) becomes negative because we are subtracting a larger value (5) from a smaller value (x).

Now,

The expression |x - 5| can be simplified to -(x - 5), which means taking the negation of (x - 5).

- If x = 3, which is less than 5, we can substitute it into the expression:

|x - 5| = |3 - 5| = |-2| = 2

- If x = 7, which is greater than 5:

|x - 5| = |7 - 5| = |2| = 2

In both cases,

The value of |x - 5| is 2.

However, when x < 5, we can simplify it as -(x - 5) because (x - 5) is negative.

Thus,

when x < 5, we can simplify it as -(x - 5) because (x - 5) is negative.

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Answer:

[tex]\huge\boxed{\sf 148\ in\³}[/tex]

Step-by-step explanation:

Volume of cuboid = length × width × height

= length × width × height

= 8 × 4 × 2

= 64 in³

= Volume of larger box + Volume of smaller box

= 212 in³

= Total volume - Smaller box

= 212 - 64

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

Formula for sphere volume = 4/3 pi r^3

V = 4/3 pi r^3    solve for 'r'

r = cubrt ( 3/4 v / pi ) = cubrt ( 3/4 * 123 / 3.14) = 3 cm

Using the parentheses to rewrite the equation 8×9-2-3​ gives 67.

In mathematics, the order of operations are the rules that tell the sequence in which the multiple operations in an expression should be solved.

A way to remember the order of the operations is PEMDAS, where each letter stands for a mathematical operation. There is also another version called BODMAS but the principles are the same

Parenthesis            (  )

Exponent                a⁷

Multiplication          ×

Division                   ÷

Addition                  +

Subtraction             -

Given: 8×9-2-3​

We can rewrite the equation using parenthesis using PEMDAS:

Multiplication first, then followed by addition/subtraction:

8×9-2-3​ = (8 × 9) - 2 - 3

             = 72 - 2 - 3​

             = 67

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Answer:

[tex]\textsf{A.} \quad \dfrac{-3}{2}[/tex]

Step-by-step explanation:

The critical points of a function are the points where the derivative of the function is either zero or undefined.

We can find the derivative of the given function using the product rule.

[tex]\boxed{\begin{minipage}{5.5 cm}\underline{Product Rule for Differentiation}\\\\If $y=uv$ then:\\\\$\dfrac{\text{d}y}{\text{d}x}=u\dfrac{\text{d}v}{\text{d}x}+v\dfrac{\text{d}u}{\text{d}x}$\\\end{minipage}}[/tex]

Given function:

[tex]f(x)=(2x+1)e^x[/tex]

[tex]\textsf{Let}\; u=2x+1 \implies \dfrac{\text{d}u}{\text{d}x}=2[/tex]

[tex]\textsf{Let}\; v=e^x \implies \dfrac{\text{d}v}{\text{d}x}=e^x[/tex]

Apply the product rule:

[tex]\begin{aligned}f'(x)&=(2x+1)e^x+e^x(2)\\&=(2x+1)e^x+2e^x\\&=e^x(2x+1+2)\\&=e^x(2x+3)\end{aligned}[/tex]

Set the derivative equal to zero and solve for x:

[tex]\begin{aligned}f'(x)&=0\\e^x(2x+3)&=0\\2x+3&=0\\2x&=-3\\x&=-\dfrac{3}{2}\end{aligned}[/tex]

Therefore, the critical point of the function f(x) is when x = -3/2.

Triangle:

It might not belong because it does not have any parallel sides, unlike the other shapes.

Diamond:

It might not belong because it is the only shape that is not a quadrilateral.

Rectangle:

It might not belong because it is the only shape with opposite sides that are equal in length.

Pentagon:

It might not belong because it is the only shape that does not have any right angles.

To determine which shape does not belong among the triangle, diamond, rectangle, and pentagon, we can analyze each shape and identify reasons why it may not belong in comparison to the others.

Here are some possible reasons for each shape:

Triangle:

It could be the odd one out because it is the only shape with three sides.

It might not belong because it does not have any parallel sides, unlike the other shapes.

Diamond:

It could be the odd one out because it is the only shape that is not a polygon (since it does not have straight sides).

Rectangle:

It could be the odd one out because it is the only shape with four right angles.

Pentagon:

It could be the odd one out because it is the only shape with five sides.

It might not belong because it is the only shape that does not have any right angles.

The determination of which shape does not belong ultimately depends on the specific criteria or rules set for the given set of shapes.

Without further context or specific criteria, it is difficult to definitively say which shape does not belong.

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Based on the given responses, the student who factored 20x^6 = (2x)(10x^5) correctly is Andrei. Therefore, the correct answer is (Choice A) Andrei.

Among the given responses, the student who factored 20x^6 = 20, x to the power of 6 correctly is Andrei. Andrei's factorization is (2x)(10x^5), which correctly represents the original term 20x^6. Therefore, the correct answer is (Choice A) Andrei.

Amit's factorization is (4x^3)(5x^3), which is incorrect because it breaks down the term into two factors with the same exponent, while the original term has an exponent of 6.

Andrew's factorization is (20x^2)(x^3), which is also incorrect as it does not accurately represent the original term 20x^6.

Hence, the only student who correctly factored 20x^6 = 20, x to the power of 6 is Andrei.

The right answer is A. Andrei who factored 20x^6 = (2x)(10x^5) correctly.

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Answer:

Area is 140

Step-by-step explanation:

This might be hard at first, but if you can figure out that the triangle on the left can be moved to the right, it forms a rectangle!

So, 10 x 14 = 140 Square units

The break-even point is approximately 217 units.

We are given that;

Cost of local product= $13.50

Variable cost per unit= $7.85

Fixed cost per period= $1

Now,

The revenue function is the product of the price per unit and the number of units sold:

R(x)=13.50x

where x is the number of units sold.

The cost function is the sum of the fixed cost and the variable cost per unit multiplied by the number of units sold:

C(x)=1220+7.85x

where x is the number of units sold.

The break-even point is the point at which revenue equals cost. We can find this point by setting R(x) equal to C(x) and solving for x:

13.50x=1220+7.85x

5.65x=1220

x≈216.81

Therefore, by the function the answer will be 217 units.

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Consumer lending Partnerships play a crucial role in facilitating economic transactions by bridging the gap between businesses and consumers.

A consumer lending partnership is a collaboration between businesses and financial institutions that aims to provide loans to consumers for purchasing goods and services. This partnership allows businesses to offer their customers convenient financing options, enabling them to make purchases that they might not be able to afford upfront. It benefits both the businesses and consumers by promoting sales and providing access to affordable credit.

In this arrangement, businesses typically partner with banks, credit unions, or other financial institutions that specialize in consumer lending. These lenders evaluate the creditworthiness of consumers and provide loans based on predetermined criteria such as credit scores, income levels, and repayment history. The loans can be structured as personal loans, installment loans, or revolving credit lines, depending on the nature of the purchases and the agreement between the lender and the business.

By partnering with financial institutions, businesses can offer attractive financing options to their customers, which can increase sales and customer loyalty. Consumers benefit from the ability to make purchases and pay them off over time, spreading the cost of expensive items or services into affordable monthly payments. This arrangement expands consumer purchasing power and provides access to necessary or desirable goods and services that may otherwise be out of reach.

In addition to benefiting businesses and consumers, consumer lending partnerships also contribute to the growth of the financial institutions involved. These partnerships create opportunities for lenders to expand their customer base, generate interest income from loan repayments, and establish relationships with businesses in various industries.

Overall, consumer lending partnerships play a crucial role in facilitating economic transactions by bridging the gap between businesses and consumers. They provide a mutually beneficial solution that empowers consumers with access to financing and enables businesses to drive sales and foster customer satisfaction.

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Step-by-step explanation:

We know that the turntable rotates through an angle of 3/2pi radians in 1 second.

To find the number of revolutions in one minute, we need to convert the angle to revolutions per minute.

There are 2π radians in one revolution, so we can set up a proportion:

(3/2π radians) / (1 second) = (x revolutions) / (1 minute)

To solve for x, we can cross-multiply and simplify:

(3/2π) * (1 minute) = x * (1 second) * (2π)

x = (3/2π) * (60/1)

x = 45 revolutions per minute

Therefore, the answer is B. 45 revolutions per minute.

I hope it helps!!

Answer:

B, line B

Step-by-step explanation:

Line B closest fits the plotted points (dots). That's the best fit.

The answer is A.

An indefinite integral is a function that, when differentiated, equals the original function. It is denoted by ∫f(x)dx, where f(x) is the function to be integrated. An indefinite integral always has an arbitrary constant of integration, which is denoted by C. This is because the derivative of any constant is zero, so the derivative of ∫f(x)dx+C is still equal to f(x).

A definite integral is the limit of a Riemann sum as the number of terms tends to infinity. It is denoted by ∫

a

b

​

f(x)dx, where a and b are the limits of integration. A definite integral does not have an arbitrary constant of integration, because the limits of integration specify a unique value for the integral.

In other words, an indefinite integral is a family of functions that share the same derivative, while a definite integral is a single number.