Solve for the constant of variation, k. z varies jointly as x and y. x = 3, when y = -8 and z = 6.

Answer:

C. 101 square units

Step-by-step explanation:

= 13 × (11-6)

= 13 × 5

= 65

= 6 × (13-7)

= 6 × 6

= 36

area throughout

= 65 + 36

= 101 square units

Answer:

14,580 lb

Step-by-step explanation:

A cubic inch of the newly discovered material madelbromium weighs 5 ounces. How many pounds will a cubic yard of madelbromium weigh?

1 yd³ × (36 in.)³/(1 yd)³ = 46,656 in.³

1 in.³ weighs 5 oz

1 yd³ weighs 5 oz × 46,656 oz = 233,280 oz

233,280 oz × (1 lb)/(16 oz) = 14,580 lb

Answer: 14,580 lb

Yes the graph of the function represents a linear piecewise function of x.

From the graph we can see that the function can be broken down into 3 distinct parts.

Let us take the first part of the graph which represents the function:

For values of x ranging from negative infinity to 0, the value of y is 2 .

So the function is of the form y = 2.

Now for the second slanting part of the function.

The function passes through the points (0,2) and (2,-2)

Slope of the line = (-2-2)/(2-0) = -2

Equation of the line :

y-2 = -2(x)

or, y + 2x = 2.

Now for the third part of the function is y = -2 for all x>2

Hence the piecewise function can be represented as for the domain of x:

     {2 , x < -2 }

y = {2-2x , -2 ≤ x ≤ 2}

     {-2 , x > 2}

Hence all parts are linear so the function is linear in nature.

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Answer:

\(\displaystyle 1\frac{2}{5}=\frac{7}{5}\)

Step-by-step explanation:

\(\displaystyle a\frac{b}{c}=\frac{ac+b}{c}\\\\1\frac{2}{5}=\frac{(1)(5)+2}{5}=\frac{5+2}{5}=\frac{7}{5}\)

Answer:

x = 1

Step-by-step explanation:

a^2 + b^2 = c^2

The hypotenuse (c) and a side length is already given, so:

x^2 + 12 = 13

x^2 = 1

Square root of 1 = 1

So, x = 1

You can check it by 1+12=13

To calculate the weighted mean of student 40's exam scores with exam 1 weighted twice that of the other 3 exams, you will need to use the weights provided in the spreadsheet. First, locate student 40's scores for all four exams on the second sheet of the spreadsheet. Then, apply the weights provided to each exam score.

To weight exam 1 twice that of the other 3 exams, you will need to multiply the exam 1 score by 2 and leave the other three scores as they are. Once you have adjusted the weights accordingly, you can calculate the weighted mean using the formula:

weighted mean = (weight1 * score1 + weight2 * score2 + weight3 * score3 + weight4 * score4) / (weight1 + weight2 + weight3 + weight4)

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.

Answer:

A. B. C. D

(y = -10x) (y = 2.5x - 7) (y = 7/8x + 1) (y = 1.2x)

E.

(y = -5x - 8)

Step-by-step explanation:

Box #1. Is going with B

Box #2. Is going with E

Box #3. Is going with D

Box #4. Is going with A

Box #5. Is going with C

Hope this helps :)

\(\huge\colorbox{red}T\colorbox{orange}h\colorbox{yellow}a\colorbox{green}n\colorbox{blue}k\colorbox{purple}s\)

Answer:

100

Step-by-step explanation:

x-value is width and y-value is height. Therefore if you multiply the height x width you get the constant.

The value of the constant in the equation is 100.

Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.

Given that, Height=Constant/Width

1) (4, 25)

Here, Height = 25 and Width = 4

25 = Constant/4

Constant = 100

2) (5, 20)

Here, Height = 20 and Width = 5

20 = Constant/5

Constant = 100

3) (10, 10)

Here, Height = 10 and Width = 10

10 = Constant/10

Constant = 100

4) (20, 5)

Here, Height = 20 and Width = 5

20 = Constant/5

Constant = 100

Therefore, the value of the constant in the equation is 100.

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The Algorithm for a time complexity of O(n) is given at the end.

The algorithm with a time complexity of O(n) to solve the problem:

1. Initialize two variables: "min_price" to store the minimum price encountered so far and "max_profit" to store the maximum profit found so far. Set both variables to infinity or a very large number.

2. Iterate through the given prices from left to right, for each day i:

  - Update min_price as the minimum between min_price and prices[i].

  - Calculate the potential profit as prices[i] - min_price.

  - Update max_profit as the maximum between max_profit and the potential profit.

3. After the iteration, max_profit will contain the maximum profit that can be obtained by buying on one day and selling on a later day.

4. In this case, return a suitable message indicating that there is no profitable opportunity.

5. If max_profit is positive, it represents the maximum profit that can be obtained. To find the specific days i and j, iterate through the prices again and find the day i where the profit is equal to max_profit. Then, continue iterating from day i+1 to find the day j where the price achieves the maximum profit (prices[j] - prices[i]). Return the pair of days (i, j).

The Python code implementing the algorithm:

def find_optimal_days(prices):

   n = len(prices)

   min_price = float('inf')

   max_profit = 0

   buy_day = 0

   sell_day = 0

   for i in range(n):

       min_price = min(min_price, prices[i])

       potential_profit = prices[i] - min_price

       max_profit = max(max_profit, potential_profit)

       if potential_profit == max_profit:

           sell_day = i

   if max_profit <= 0:

       return "No profitable opportunity."

   for i in range(sell_day):

       if prices[sell_day] - prices[i] == max_profit:

           buy_day = i

           break

   return buy_day, sell_day

# Example usage:

prices = [7, 1, 5, 3, 6, 4]

result = find_optimal_days(prices)

print(result)

This algorithm has a time complexity of O(n), where n is the number of days (length of the prices list). It iterates through the prices list twice, but the overall complexity is linear.

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Answer:

Your solution is (9, 27) or x = 9, y = 27

Step-by-step explanation:

y = 2x + 9

y = 4x - 9

We can see that both of these equations equal y, so we can set them equal to each other.

2x + 9 = 4x - 9

Add 9 to both sides.

2x + 18 = 4x

Subtract 2x from both sides.

18 = 2x

Divide both sides by 2.

9 = x

Now we want to find y. To do this, plug x = 9 back into one of the original equations.

y = 2(9) + 9

Multiply.

y = 18 + 9

Add.

y = 27

Your solution is (9, 27)

Check your answer by plugging x = 9 and y = 27 back into the original equations.

y = 2x + 9

27 = 2(9) + 9

27 = 18 + 9

27 = 27

y = 4x - 9

27 = 4(9) - 9

27 = 36 - 9

27 = 27

Your answer is correct.

Hope this helps!

Answer:

x=9,y=27

Step-by-step explanation:

y=2x+9,........equation 1

y=4x-9..........equation 2

from equation 1 and 2

we get

2x+9=4x-9

9+9=4x-2x

x=18/2=9

substituting value of x in equation 1

y=2×9+9=18+9=27

Answer:

the 6 is in the tenth spot

Step-by-step explanation:

Answer:

Approximately 87 minutes

Step-by-step explanation:

So first see how much of the reading 41 minutes is. It is 47%.

So now to find out how much 100% is, first find out how much 1% is.

Just divide by 47.

1% = \(\frac{41}{47}\)

And then multiply by 100 to get 100%

\(\frac{4100}{47}\)

That is 87.2340425532

Which is 87

Answer:

iesjfsoifjoddfdfgfd

Step-by-step explanation:

Considering the curve x³y + y³ = sin y - x, the final i is;\(\frac{dy}{dx} = \frac{-2x}{3y^2 - cos(y)} \div (x^3 - cos(y))\)

Implicit differentiation is a technique used to differentiate equations that are not explicitly expressed in terms of one variable. It is particularly useful when you have an equation that defines a relationship between two or more variables, and you want to find the derivatives of those variables with respect to each other.

To find dy/dx for the curve x³y + y³ = sin y - x², the implicit differentiation will be used which involves differentiating both sides of the equation with respect to x.

It is expressed as follows;

\(\frac{d}{dx} x^3y + \frac{d}{dx} y^3 = \frac{d}{dx} sin(y) - \frac{d}{dx} x^2\)

Then we'll differentiate each term:

For the first term, x^3y, we'll use the product rule

\(\frac{d}{dx} x^3y = 3x^2y + x^3 \frac{dy}{dx}\)

For the second term, y^3, we'll also use the chain rule

\(\frac{d}{dx} y^3 = 3y^2 \frac{dy}{dx}\)

For the third term, sin(y), we'll again use the chain rule

\(\frac{d}{dx} sin(y) = cos(y) \frac{dy}{dx}\)

For the fourth term, x², we'll use the power rule

\(\frac{d}{dx} x^2 = 2x\)

Substituting these expressions back into the original equation, we get:

3x²y + x³(dy/dx) + 3y²(dy/dx) = cos(y)(dy/dx) - 2x

Simplifying the equation:3x²y + x³(dy/dx) + 3y²(dy/dx) - cos(y)(dy/dx) = -2x

Dividing both sides by 3y² - cos(y), we get:(x³ - cos(y))(dy/dx) = -2x / (3y² - cos(y))

Hence, the final answer is;\(\frac{dy}{dx} = \frac{-2x}{3y^2 - cos(y)} \div (x^3 - cos(y))\)

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Answer:

c is it

Step-by-step explanation:

a p e x

Answer:

20

Step-by-step explanation:

Triangle inequality says that the third side can only be 18-3...15, that is bigger than 15.

And 18+3... 21, that is smaller than 21.

If the third side is 21, the 18 and the 3 will just lay right on top of the 21 and not make a triangle. So it has to be 20 in order to be a whole number.

The position of point L is halfway between points K and L

The line segment is given as:

JK

This means that the endpoints of the line are:

J and K

Also, we have:

JL = LK

So, we have:

JK = JL + LK

Substitute JL = LK

JK = JL + JL

This gives

JK = 2JL

Divide by 2

JL = 1/2 JK

Hence, the position of point L is halfway between points K and L

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On solving the provided question, we can say that - Consequently, $75.21 is the chair's minimal selling price.

the price at which something is offered for sale or offered for sale following a price reduction. 2. The asking price for anything. The amount of cash that is transferred between buyers and sellers of products and services is known as revenue. Selling price is the price offered or sold for a certain inventory item. The selling price is often the price at which something is sold. When discussing real estate, you could hear this specific term. It happens frequently that the list price or asking price is either more or lower than the final selling price. Sale pricing signify temporary discounts on regular prices.

3,575 beach chairs are produced each month by Zion Sun Chairs. The minimal sales price for a chair is $75.21 in order to generate a monthly profit of $65,000.

The profit calculation formula is as follows:

Sales revenue less all costs equals profit.

Sales price per unit x the quantity of units sold equals revenue.

Total cost equals Fixed Cost plus Variable Cost.

x units produced divided by variable cost per unit equals the variable cost.

given parameters:

3,575 units were made (sold).

Earnings = $65,000,

Cost fixed = $17,363.50

$52.17 is the variable price per unit.

Hence,

\(variable cost = 52.17 x 3,575 = 186,507.75\\total cost = 17,363.50 + 186,507.75 = 203,871.25\\Profit = revenue - total cost\\65,000, = revenue - 203,871.25\\revenue = 203,871.25 + 65,000 = 268,871.25\\sales price = 268,871.25 / 3,575 = 75.21\\\)

Consequently, $75.21 is the chair's minimal selling price.

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Answer:

$3

Step-by-step explanation:

If we use proportional reasoning, 3x = 1.50

6x is double of 3x so it only makes sense we should double 1.50 therefore,

6x = 3.

Ndidi rides y km at 10 km/hr, then walks 0.5y km at 3 km/hr. She is away from. home less than 4hours.Range of the values of Y is =24/7

Let's call the total time spent riding and walking t hours. We know that t is less than 4 hours, so:

t = time spent riding + time spent walking < 4 hours

The time spent riding is given by y / 10 km/hr and the time spent walking is given by 0.5y / 3 km/hr. So, we can write the inequality as:

t = y / 10 + 0.5y / 3 < 4

Expanding and simplifying the expression on the left side gives:

7/6y < 4 * 6/7

Multiplying both sides by 6/7 gives:

y < 4 * 6/7 * 6/7 = 24/7

So, the range of values of y is 0 < y < 24/7 km. This means that Ndidi rode less than 24/7 km, but more than 0 km.

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Answer:

56 cups

Step-by-step explanation:

56 cups=3.5 gallons

The probability of getting 9 or more heads when flipping 12 biased coins once is approximately 0.4013 or 40.13%.

Hence, the correct option is C.

To solve this problem, we can use the binomial distribution formula, which gives the probability of getting k successes in n independent trials, where the probability of success is p.

P(k successes) = (n choose k) * p^k * (1 - p)^(n - k)

Where (n choose k) is the number of ways to choose k items from a set of n items, and is calculated as

(n choose k) = n! / (k! * (n - k)!)

For this problem, we have 12 coins that are flipped once each, and the probability of getting a head for each coin is given.

n = 12 (the number of trials)

p = 0.65, 0.6734, 0.3467, 0.0016, 0.0938 (the probability of success for each coin)

k = 9, 10, 11, 12 (the number of successes we're interested in)

Then, we can calculate the probability of getting 9 or more heads by adding up the probabilities of getting 9, 10, 11, or 12 heads

P(9 or more heads) = P(9 heads) + P(10 heads) + P(11 heads) + P(12 heads)

P(9 heads) = (12 choose 9) * 0.65^9 * 0.35^3 = 0.1949

P(10 heads) = (12 choose 10) * 0.6734^10 * 0.3266^2 = 0.1919

P(11 heads) = (12 choose 11) * 0.3467^11 * 0.6533^1 = 0.0145

P(12 heads) = (12 choose 12) * 0.0938^12 * 0.9062^0 = 0.0000000967

Therefore,

P(9 or more heads) = 0.1949 + 0.1919 + 0.0145 + 0.0000000967 = 0.4013

Hence, the correct option is C.

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-- The given question is not correct, the correct question is

" If 12 biased coins are flipped once, what is the probability of getting 9 or more heads? The colns are biased such that the probability of a head with any coin is A. 0.65 B. 0.6734 C. 0.4013 D. 0.0016 E. 0.0938" --

Answer:

No 3

2x+4x+3x+12=0

9x+12=0

9x=0_12

9x=-12

divide by 9

x=1.333

Answer: The graph is a linear graph or linear function in the form y= mx + b where m is the slope and b is the y-intercept. You could plot the points (0,5) (1,4) (2,3) (4,1)  and draw a straight line through them.

Step-by-step explanation:

The equation  y= 5-x  can be rewrite as  y = -1x + 5  and it can be identify as a linear equation in slope intercept form. Now you could plot in any value  of x and solve for y.

x        y         (x,y)

0       5          (0,5)   If you put in 0 for x y will be 5

1       4            (1,4)    if you put in 1 for x,  y will be 4

2      3            (2,3)  if you put in 2 for x, y will be 3

4       1             (4,1)   if you put in 4 for x, y will be  1

5       0             (5,0)  if you put in 5 for x y will be 0.

Answer:

Amount left for gift C = \(4\frac{19}{20}\) dollars

Step-by-step explanation:

Given that:

Amount Cora have to spent on gifts = $20

Amount spent on gift A = \(11\frac{1}{4}=\frac{45}{4}\) dollars

Amount spent on gift B = \(3\frac{4}{5}=\frac{19}{5}\) dollars

Amount spent on gift C = x

Total amount = Gift A + Gift B + Gift C

20 = \(\frac{45}{4}+\frac{19}{5}+x\)

20 = \(\frac{225+76+20x}{20}\)

\(400=301+20x\\400-301=20x\\99=20x\\20x=99\\\)

Dividing both sides by 20

\(\frac{20x}{20}=\frac{99}{20}\\\\x=4\frac{19}{20}\)

Hence,

Amount left for gift C = \(4\frac{19}{20}\) dollars

Step-by-step explanation:

The theoretical probability of 4 students from your school being selected as contestants out of 10 possible contestant spots is calculated as follows:

(Number of favorable outcomes) / (Number of total possible outcomes)

Number of favorable outcomes = C(30, 4) = 30! / (4! * (30-4)!) = 27,405

Number of total possible outcomes = C(130, 10) = 130! / (10! * (130-10)!) = 1,677,169,300

Theoretical probability = 27,405 / 1,677,169,300 = approximately 0.0000164, or 0.00164%.

So, the theoretical probability of 4 students from your school being selected as contestants out of 10 possible contestant spots is approximately 0.00164%.

Step-by-step explanation:

Slope formula: \(\frac{y2}{x2} -\frac{y1}{x1} =m\)

m = slope

Take 2 points from the table.

(-3, 5) and (-2, 2).

Add these points to the formula:

\(\frac{2}{-2} -\frac{5}{-3} =\)

Solve:

\(\frac{2}{-2} -\frac{5}{-3} =\frac{-3}{1}\)

Option 1 is correct.

Y-intercept is where x = 0.

On the table, it's showing at x = 0, y = -4.

The y-intercept equals -4.