what is an equation of the line that passes through the points (3, 4) and (-4, -3)?

Answer:

Step-by-step explanation:

       1.159 R (remainder) 42

     | ------------------------

73  | 84.649

      -73

       116 (brought 6 down)

       -73

         434 (brought 4 down)

         -365

          699 (brought 9 down)

         -657

             42 is the remainder

↪\( \: \: \: \: \: \: \: \: \: \: \huge \rm{answer:} \boxed{ \purple{42}}\)

\( \huge \red {\boxed{\sf{armed \: account}}}\)

\( \huge\frac{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \rm1159r42}{ \: 73) \: \:84649} \\ \huge \frac{ - 73}{ \: \: \: \: \: \: 116} \\ \huge \frac{ \: \: \: \: - 73}{ \: \: \: \: \: \: \: \: \: 434} \\ \huge \frac{ \: \: \: \: \: \: - 365}{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: 699} \\ \huge\frac{ \: \: \: \: \: \: \: \: \: \: - 657}{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \red{42} }\)

➖➖➖➖➖➖➖➖➖➖➖➖➖➖

And that's it! Hope it wasn't too hard to understand✏

➖➖➖➖➖➖➖➖➖➖➖➖➖➖

Step-by-step explanation:

\( \huge \rm{Hope \: this \: helps}\)

The price when x = 12 is 80 dollars.

The elasticity of demand, according to the given conditions,  when x = 12 is 0.0625

To compute the price, p, when x = 12, we plug in x = 12 into the demand function P = 5(x + 4) "4:

P = 5(12 + 4) "4
P = 80

So the price when x = 12 is 80 dollars.

To compute the rate of change of demand with respect to price, p, we use implicit differentiation. Differentiating both sides of the demand function P = 5(x + 4) "4 with respect to p, we get:

dP/dp = 5(dx/dp)

Solving for dx/dp, we get:

dx/dp = (dP/dp) / 5

We know that dP/dx = 5, since that is the coefficient of x in the demand function. So when x = 12, we have:

dP/dx = 5
dP/dp = (dP/dx)(dx/dp) = 5(dx/dp)

Substituting in dP/dp = -15 (since we want the rate of change of demand with respect to price, not quantity), we get:

-15 = 5(dx/dp)
dx/dp = -3

So the rate of change of demand with respect to price, when x = 12, is -3 thousand units per dollar.

To compute the elasticity of demand when x = 12, we use the formula:

Elasticity of Demand = (% change in quantity demanded) / (% change in price)

We can find the % change in quantity demanded by using the derivative of the demand function. We have:

P = 5(x + 4) "4
dP/dx = 5
dP/dx = 5(x + 4)"5(dx/dx) = 5(12 + 4)"5(dx/dx)
dx/dx = (dP/dx) / (5(x + 4)"5) = 1 / (x + 4)"5

So when x = 12, we have:

dx/dx = 1 / (12 + 4)"5 = 1/16

This means that a 1% increase in quantity demanded corresponds to a 1/16% increase in x. Similarly, a 1% decrease in quantity demanded corresponds to a 1/16% decrease in x.

To find the % change in price, we can use the fact that the demand function is:

P = 5(x + 4) "4

This means that a 1% increase in price corresponds to a 1% increase in P, since there are no other variables involved in the equation. Similarly, a 1% decrease in price corresponds to a 1% decrease in P.

So we have:

% change in quantity demanded = 1/16%
% change in price = 1%

Plugging these into the formula for elasticity of demand, we get:

Elasticity of Demand = (% change in quantity demanded) / (% change in price)
Elasticity of Demand = (1/16%) / (1%)
Elasticity of Demand = 1/16

So the elasticity of demand when x = 12 is 1/16 or 0.0625.

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Answer:

12 to 15 ratio of girls to boys

The correct standard form for the given LP model is option C: Max(Z) = 3x1 + 2x2, subject to the constraints 11x1 + 3x2 - 5 <= 33, 8x1 + 5x2 + 5 >= 40, and 7x1 + 10x2 + 5 >= 70, with x1, x2 >= 0. This option aligns with the original objective function and constraints of the LP model.

To convert the LP model into standard form, we need to rewrite the constraints with the variables on the left-hand side and constants on the right-hand side, with inequality signs (<= or >=) consistent throughout. Additionally, we introduce slack or surplus variables to transform any non-standard constraints.

In option C, the constraints are correctly transformed as 11x1 + 3x2 - 5 = 33, 8x1 + 5x2 + 5 >= 40, and 7x1 + 10x2 + 5 >= 70. These constraints are consistent with the original model. The objective function remains the same, Max(Z) = 3x1 + 2x2.

Option A has incorrect signs in the transformed constraints, and option B introduces surplus variables (+5) instead of slack variables (-5), resulting in an incorrect standard form. Option D includes a non-standard term with a dollar sign, which is inconsistent with linear programming conventions.

Therefore, option C is the correct standard form, adhering to the original LP model's objective function and constraints.

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Answer:

f(-2) = g(-2)

Answer: Step-by-step explanation:

f(x)=ax^2→g(x)=a(x-h)^2+k

The horizontal shift depends on the value of h. The horizontal shift is described as:  

g(x)=f(x+h) - The graph is shifted to the left h units.

g(x)=f(x−h) - The graph is shifted to the right h units.

Hence, in the question above, Horizontal Shift: Right h Units

The vertical shift depends on the value of k. The vertical shift is described as:

g(x)=f(x)+k - The graph is shifted up k units.

g(x)=f(x)−k - The graph is shifted down k units.

Therefore, in the question above, Vertical Shift: Up k Units

The description of the transformation from the graph with respect to the given graph should be explained below.

Since

\(f(x)=ax^2\)

And, \(g(x)=a(x-h)^2+k\)

Now here horizontal shift based on the value of h. The horizontal shift should be like

g(x)=f(x+h) - The graph should be shifted to the left h units.

And,

g(x)=f(x−h) - The graph should be shifted to the right h units.

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The new length is 35+10=45 and the new width is 18+10=28.

To Find the Area of a rectangle is length times the width.

Given that enclosure at the zoo is 35 feet long by 18 feet wide. It means the length is 35 feet and the width is 18 feet.

Area of Rectangle=Length × Width

=35×18

=630

The zoo wants to double the area of the enclosure by adding the same distance x to the length and width.

(35+x)×(18+x)=1260

630+35x+18x+x2=1260

x2+53x+630-1260=0

x2+53x-630

Now we will apply the quadratic formula we get

x=10.

The new length is 35+10=45

The new width is 18+10=28.

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From the 12 listed amount, the amount which are within 1.5 standard deviation of the mean are (E) Eleven.

The term "Standard-deviation" is defined as a statistical measure of amount of variation of a set of data points from mean value.

The amounts which are within 1.5 standard deviation means can eb calculated by the formula :

⇒ {mean - 1.5×(S.D.), mean + 1.5×(S.D.)}

Substituting the values,

We get,

⇒ {8.1 - 1.5×0.3,  8.1 + 1.5×0.3}

⇒ {7.65 , 8.55}.

The 12 listed amount are : {8.22, 7.51, 7.86, 8.36, 7.83, 8.30, 8.09, 8.01, 7.73, 8.53, 8.25, 7.96},

We can see that, from the 12 listed amounts, only 7.51 is out of this rage and the remaining 11 amounts are within this rage.

Therefore, the correct option is (E) Eleven.

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The given question is incomplete, the complete question is

A vending machine is designed to dispense 8 ounces of coffee into a cup. after a test that recorded the number of ounces of coffee in each of 1,000 cups dispensed by the vending machine, the 12 listed amounts, in ounces, were selected from the data. if the 1,000 recorded amounts have a mean of 8.1 ounces and a standard deviation of 0.3 ounce, how many of the 12 listed amounts are within 1.5 standard deviations of the mean?

7.51, 8.22, 7.86, 8.36, 8.09, 7.83, 8.30, 8.01, 7.73, 8.25, 7.96, 8.53.

(A) Four

(B) Six

(C) Nine

(D) Ten

(E) Eleven

Answer:

Step-by-step explanation:

where is the question 1

+this sentence :" is -20 degrees bcz it's colder than -10 degrees "is a 2answer sentence

hope this helps

A parametric representation of the solution set of the linear equation 3x - 6y = 0 is given by the equations:

x = 2t , y = t

To find a parametric representation of the solution set of the linear equation 3x - 6y = 0, we can express x and y in terms of a parameter t. Let's solve the equation:

3x - 6y = 0

First, we can divide both sides by 3 to simplify the equation:

x - 2y = 0

Now, let's express x and y in terms of t:

x = 2t

y = t

Therefore, a parametric representation of the solution set of the linear equation 3x - 6y = 0 is given by the equations:

x = 2t , y = t

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Answer:

Step-by-step explanation:

find the area of both areas lol

60 x 40 = 2400 ft^2

40 x 20 = 800 ft^2

add them to get the total

2400 + 800 = 3200 square feet

A scaled-down version of parallelogram is parallelogram be. What does w equal for U

X has a value of 4.

Line BC and line AD are parallel in the picture that was submitted, and segment 15 is the midpoint.

The Midsegment TrapezoidTheorem states that a line going through the midpoint of a trapezoid leg, parallel to both bases, will also go through the midpoint of the other leg

The formula for calculating a trapezoid's midsegment is as follows:

As a result, x has a value of 4.

A trapezoid is a quadrilateral with one pair of opposite sides parallel. It can have right angles (a right trapezoid), and it can have congruent sides (isosceles), but those are not required.

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Answer:

13n + 20  

Step-by-step explanation:

the shipping rate never changes but the cost of books does depend on how many books you buy.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

4. Three minor arcs in the figure are: AB, CD, and EF.

5. Three major arcs in the figure are: ACE, BDF, and ADF.

6. Two central angles in the figure are: ∠BAC and ∠BDC.

4. To identify three minor arcs in the figure, we need to look for arcs that are less than a semicircle (180 degrees) in measure. By examining the figure, we can identify three minor arcs: AB, CD, and EF. These arcs are smaller than semicircles and are named based on the points they connect.

5. To determine three major arcs in the figure, we need to locate arcs that are greater than a semicircle (180 degrees) in measure. From the given figure, we can observe three major arcs: ACE, BDF, and ADF. These arcs are larger than semicircles and are named using the endpoints of the arc along with the center point.

6. Two central angles in the figure can be identified by examining the angles formed at the center of the circle. The central angles are defined as angles whose vertex is the center of the circle and whose rays extend to the endpoints of the corresponding arc. By analyzing the figure, we can identify two central angles: ∠BAC and ∠BDC. These angles are named using the letters of the points that define their endpoints, with the center point listed as the vertex.

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Answer

a) (0, 9) is not on the given graph.

b) (9, 0) is on the given graph.

c) (-9, 0) is on the given graph.

Explanation

The eqation of the function on the graph is given as

y² = x² - 81

We are then asked to check if some points are on this graph

To do that, we will substitute each ofthe given points into the equation as x and y and the ones that satisfy the equation are the ones that occur on the graph

a) (0, 9)

x = 0

y = 9

y² = x² - 81

9² = 0² - 81

81 = 0 - 81

81 ≠ -81

This point isn't on the graph.

b) (9, 0)

x = 9

y = 0

y² = x² - 81

0² = 9² - 81

0 = 81 - 81

0 = 0

This point is thus on the graph.

c) (-9, 0)

x = -9

y = 0

y² = x² - 81

0² = (-9)² - 81

0 = 81 - 81

0 = 0

This point is thus on the graph.

Hope this Helps!!!

The equation can be used to model the height as a function is\(\rm h = 0.5\ cos(\frac{\pi}{6} t)+9.5\)  where t is time, the second option is correct.

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We know the general equation for the cosine function:

\(\rm y = A\ cos(bx-c)+d\)

Where A is the amplitude

We have a wall clock that varies from 9 feet to 10 feet.

The value of 'A' is given by:

\(\rm A = \frac{10-9}{2} \Rightarrow 0.5\)

b is the cycle speed, we know:

\(\rm T = \frac{2\pi}{b}\)   (T is period)

\(\rm12 = \frac{2\pi}{b}\)

\(\rm b=\frac{\pi}{6}\)

The value of d is given by:

\(\rm d = \frac{10+9}{2}\)

d = 9.5

The equation can be modeled:

\(\rm h = 0.5\ cos(\frac{\pi}{6} t)+9.5\)   (c =0 and y =h)

Thus, the equation is  \(\rm h = 0.5\ cos(\frac{\pi}{6} t)+9.5\)

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Answer: B, h = 0.5 cosine (StartFraction pi Over 6 EndFraction t) + 9.5

Step-by-step explanation: edge :)

56/120

Step-by-step explanation:

The body masses of the two children in terms of their father's body mass, x, are:

First child's body mass = 5x/6 kg

Second child's body mass = 4x/5 kg

To express the body mass of the man's two children in terms of their father's body mass, we can use the given ratios.

Let the body mass of the man be x kg.

The first child's body mass is five-sixths of their father's body mass:

Body mass of the first child = (5/6) * x

= 5x/6 kg.

The second child's body mass is four-fifths of their father's body mass:

Body mass of the second child = (4/5) * x

= 4x/5 kg.

Therefore, the body masses of the two children in terms of their father's body mass, x, are:

First child's body mass = 5x/6 kg

Second child's body mass = 4x/5 kg

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Answer:

2/5  or 0.4

Step-by-step explanation:

This is simplified. For  the question 4/10 .

Answer:

Distributive Property of Addition

Step-by-step explanation:

The Distributive Property of Addition states that a(b+c) = ab + ac

Let me know if this helps!

Answer:

a square plus 2ab plus b square......hope this will help you...thank you

\(\huge\text{Hey there!}\)

\(\boxed{\huge\boxed{\mathsf{(a + b)^2}}}\\\boxed{\huge\boxed{\frak{= a + b \times a + b}}}\\\\\boxed{\huge\boxed{\rm{ = a^2 + 2ab + b^2}}}\huge\checkmark\) \(\boxed{\huge\boxed{\leftarrow} \text{ YOUR ANSWER}}\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

~\(\rm{Amphitrite1040:)}\)

Step-by-step explanation:

3x=21

x=21/3 = 7.

hope this helps.

Answer:

hi!

your answer is

2/3

Step-by-step explanation:

this is because 0.333 is 1/3

so 0.666 is 2/3

hope this helps

pls put brainliest

Answer:

52.1 is the percentage of employees that are men

Step-by-step explanation:

Answer:

4 hours

Step-by-step explanation:

Answer:

4 hours & 20 minutes Hope this helps have a supercalifragilisticexpialidocious day :3

Step-by-step explanation:

Answer:

(3)13.2

Step-by-step explanation:

c²=a²+b²

20²=15²+b²

20²-15²=b²

400-225=b²

175=b²

b=√175

b=13.2inches

The value of  integral sin (x^2+y^2)dA is 2π(cos(9) - cos(64)).

To evaluate this integral using polar coordinates, we first need to express the region R in terms of polar coordinates. In polar coordinates, the equation of a circle with radius r is given by r^2 = x^2 + y^2. So, the region R can be expressed as 3 < or = r < or = 8.

Now, we can express the integral in polar coordinates:

∫∫R sin (x^2+y^2)dA = ∫θ=0 to 2π ∫r=3 to 8 sin (r^2) r dr dθ

We integrate first with respect to r, then with respect to θ:

∫θ=0 to 2π ∫r=3 to 8 sin (r^2) r dr dθ

= ∫θ=0 to 2π [-cos(64) + cos(9)] dθ

= 2π(cos(9) - cos(64))

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Answer:

length of the opposite leg divided by the hypotenuse

Step-by-step explanation:

Answer:

6,3

Step-by-step explanation:

if im not mistaken geometric sequences are multiply/dividing & right here you are decreasing by×2 so 6,3 would be your answer

The total cost of power generation for a specific load demand can be calculated by optimally allocating the load demand to each unit based on their power output limits. The allocation is done in a way that minimizes the overall cost while meeting the load demand.

In the given power system depicted in Figure 1, there are three units that are always running. Each unit has specific characteristics regarding their minimum power output (Pmin), maximum power output (Pmax), and incremental cost (Ci). Let's discuss the characteristics of each unit and calculate the total cost of power generation for a given load demand.

Unit 1:

Pmin = 200 MW

Pmax = 500 MW

Ci = $50/MWh

Unit 2:

Pmin = 150 MW

Pmax = 400 MW

Ci = $40/MWh

Unit 3:

Pmin = 100 MW

Pmax = 300 MW

Ci = $30/MWh

To calculate the total cost of power generation for a given load demand, we need to determine the optimal power output for each unit. We start by considering the units with the lowest incremental cost first.

Suppose the load demand is D MW. We allocate the load demand to the units as follows:

Step 1: Check if Unit 1 can meet the load demand within its power range. If yes, allocate the load demand to Unit 1 and calculate the cost:

Cost1 = Ci * P1, where P1 is the power output of Unit 1.

Step 2: If there is still remaining load demand, allocate it to Unit 2:

Cost2 = Ci * P2, where P2 is the power output of Unit 2.

Step 3: If there is still remaining load demand, allocate it to Unit 3:

Cost3 = Ci * P3, where P3 is the power output of Unit 3.

Finally, the total cost of power generation, Cost_total, is the sum of Cost1, Cost2, and Cost3:

Cost_total = Cost1 + Cost2 + Cost3

To find the optimal power output for each unit, we consider the load demand and compare it to the minimum and maximum power output limits for each unit. The power allocation is based on meeting the load demand while minimizing the overall cost of power generation.

In summary, given the characteristics of the three units in the power system (Pmin, Pmax, and Ci), the total cost of power generation for a specific load demand can be calculated by optimally allocating the load demand to each unit based on their power output limits. The allocation is done in a way that minimizes the overall cost while meeting the load demand.

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