Simplify (pvw)^(pv-w) to p 1. Select a law from the right to apply (pvw)^(pv-w) LawsDistributive (а^ь)v(а^с) = а^(bvc) (avb)^(avc) = av(b^c) Commutative bva = bvaa^b = b^aComplement av-a а^-а Identity а^т avF Double negation - - a

The rate of change of the area of a square with respect to its side length when s = 5 is 10.

The given equation represents the area of a square as a function of its side length, A(s) = s^2.

To find the rate of change of the area with respect to the side length, we differentiate the area function with respect to s:

dA/ds = 2s.

Substituting s = 5 into the derivative, we have:

dA/ds = 2(5) = 10.

Therefore, the rate of change of the area of a square with respect to its side length when s = 5 is 10. This means that for every unit increase in the side length, the area of the square increases by 10 units.

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The sum of 3/5 and -6/7 is -9/35

To add fractions with different denominators, we first need to find a common denominator. In this case, the common denominator is the least common multiple (LCM) of 5 and 7, which is 35.

Then, we need to convert both fractions to equivalent fractions with the denominator of 35:

3/5 = 21/35 (multiply both the numerator and denominator by 7)

-6/7 = -30/35 (multiply both the numerator and denominator by 5)

Now that both fractions have the same denominator, we can add them by simply adding the numerators and keeping the denominator

21/35 + (-30/35) = (21 - 30) / 35 = -9/35

Therefore, 3/5 +(− 6/7 ​ ) = -9/35.

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The given question is incomplete, the complete question is:

Calculate 3/5 ​ +(− 6/7 ​ )

Answer:

12/5

Step-by-step explanation:

9 x 2/ 5 x 2 + 6/10 =

18/10 + 6/10=

12/5 or 2 2/5

Answer:

A parallelogram is a quadrilateral that has two parallel and equal pairs of opposite sides.    

From the given diagram,

Given: AD = BC and AD || BC, then:

i. AB = DC (both pairs of opposite sides of a parallelogram are congruent)

ii. <ADC = < BCD and < DAB = < CBA

thus, AD || BC and AB || DC (both pairs of opposite sides of a parallelogram are parallel)

iii. < BAC = < DCA (alternate angle property)

iv. Join BD, line AC  and BC are the diagonals of the quadrilateral which bisect each other. The two diagonals are at a right angle to each other.

v. <ADC + < BCD + < DAB + < CBA =   (sum of angles in a quadrilateral equals 4 right angles)

Therefore, ABCD is a parallelogram.

Step-by-step explanation:

The solution is, ABCD is a parallelogram.

A parallelogram is a quadrilateral that has two parallel and equal pairs of opposite sides.    

here, we have,

From the given diagram,

Given: AD = BC and AD || BC, then:

i. AB = DC (both pairs of opposite sides of a parallelogram are congruent)

ii. <ADC = < BCD and < DAB = < CBA

thus, AD || BC and AB || DC (both pairs of opposite sides of a parallelogram are parallel)

iii. < BAC = < DCA (alternate angle property)

iv. Join BD, line AC  and BC are the diagonals of the quadrilateral which bisect each other.

The two diagonals are at a right angle to each other.

v. <ADC + < BCD + < DAB + < CBA =   (sum of angles in a quadrilateral equals 4 right angles)

Therefore, ABCD is a parallelogram.

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Answer:

The freezing point of the water with the added potassium is 24 degrees Fahrenheit.

Step-by-step explanation:

To find the freezing point of the water with the added potassium, you need to subtract 8 degrees from the initial freezing point of water, This is because you know that after adding potassium to water, the freezing point went down by 8 degrees Fahrenheit. So you need to subtract 8 degrees from the initial freezing point of water (32 degrees Fahrenheit). 32º F - 8º = 24º F. So the freezing point of the water with the added potassium is 24 degrees Fahrenheit.

Answer:

The Horizontal asymptote is y=-2. you should be able to figure out where to graph.

Step-by-step explanation:

The interest rate your friend is charging you for the $20,000 loan is 20% per year.

The simple interest is expressed as;

A = P( 1 + rt )

Where A is accrued amount, P is principal, r is the interest rate and t is time.

Given that;

The Principal P = $20,000

Accrued amount A = $40,000

Elapsed time t = 5 years

Interest rate r =?

Plug these values into the above formula and solve for the interest rate r:

\(A = P( 1 + rt )\\\\r = \frac{1}{t}( \frac{A}{P} -1 ) \\\\r = \frac{1}{5}( \frac{40000}{20000} -1 ) \\\\r = \frac{1}{5}( 2 -1 ) \\\\r = \frac{1}{5}\\\\r = 0.2 \\\\\)

Converting r decimal to R a percentage

Rate R = 0.2 × 100%

Rate r = 20% per year

Therefore, the interest rate is 20% per year.

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Answer:

87

Step-by-step explanation: im genius at math

Answer:

I think the slope would be (2,4)

Step-by-step explanation:

Becuse it rises by 2 and runs by 4

The probability for Jacie or Robyn would consume cheese on a random day is 0.15.

The likelihood of Jacie eating cheese on any particular day is 0.6.

The likelihood of Robyn eating cheese on any particular day is 0.25.

Both events are independent.

As a result, the probability for Jacie or Robyn would consume cheese on a random day is;

P(Jacie or Robyn)  = P(Jacie). P(Robyn)

P(Jacie or Robyn)  = 0.6 x 0.25

P(Jacie or Robyn)  = 0.15

Thus, the probability for Jacie or Robyn would consume cheese on a random day is 0.15.

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Based on the data for a British Ford escort, the way fuel consumption of a car change as its speed increases represents a relationship that is curved with higher at extremes when scatter plot is constructed. It shows fuel efficiency is high at moderate speeds.

A scatter plot is a type of mathematical diagram using Cartesian coordinates to demonstrate values for typically two variables for a set of data. In the given case, the scatter plot shows a relationship between the speeds of a car and fuel consumption. The curved relationship which is high on extreme and low in the middle. As the car speed increases from 10km/h to 60 km/h, the fuel consumption decreases. As the car speed increases from 60km/h to 150khm/h, the fuel consumption increases. Hence, the fuel consumption is lowest at 60km/h and its generally low for moderate speeds – 40 km/hr to 100 km/h. It can be deduced that fuel efficiency (which pertains to how well a vehicle uses fuel) is high for moderate speeds. Hence, at moderate speeds best performance is achieved.

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18 root

2

Step-by-step explanation:

In this question imagine there is no y

It will be 10 root2 +5 root2 +3 root 2 it will be 18 root 2

Answer:

2:45

Step-by-step explanation:

2:45

Based on the formula of the quadratic function y=-x^2+6x-5, we know that its graph is a downward-facing parabola that opens wide, with a vertex at (3,-14), and an axis of symmetry at x=3.

Based on the formula of the quadratic function y=-x^2+6x-5, we can determine several properties of its graph, including its shape, vertex, and axis of symmetry.

First, the negative coefficient of the x-squared term (-1) tells us that the graph will be a downward-facing parabola. The leading coefficient also tells us whether the parabola is narrow or wide. Since the coefficient is -1, the parabola will be wide.

Next, we can find the vertex using the formula:

Vertex = (-b/2a, f(-b/2a))

where a is the coefficient of the x-squared term, b is the coefficient of the x term, and f(x) is the quadratic function. Plugging in the values for our function, we get:

Vertex = (-b/2a, f(-b/2a))

= (-6/(2*-1), f(6/(2*-1)))

= (3, -14)

So the vertex of the parabola is at the point (3,-14).

Finally, we know that the axis of symmetry is a vertical line passing through the vertex. In this case, it is the line x=3.

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The boundaries that satisfy the Empirical Rule for this situation are:

To apply the Empirical Rule, we need to consider the mean (μ) and the standard deviation (σ) of the data.

Given:

Mean weight of bags (μ) = 12.4 ounces

Standard deviation (σ) = 0.2 ounces

According to the Empirical Rule, for a normal distribution:

So, Lower boundary (μ-30):

μ - 30 x σ = 12.4 - 30 x 0.2

= 12.4 - 6

= 6.4

Lower boundary (μ-20):

μ - 20 x σ

= 12.4 - 20 x 0.2

= 12.4 - 4

= 8.4

Mean (μ):

The mean is already given as μ = 12.4

Upper boundary (μ+20):

μ + 20 x σ

= 12.4 + 20 x 0.2

= 12.4 + 4

= 16.4

Upper boundary (μ+30):

μ + 30 x σ

= 12.4 + 30 x 0.2

= 12.4 + 6

= 18.4

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Answer:

1587.6 m²

Step-by-step explanation:

\(A=\frac{1}{2} bh\) where b is the base length and h is the height (b and h on the triangle will always be perpendicular to each other)

Plug in 75.6 m as b and 42 m as h

\(A=\frac{1}{2} (75.6)(42)\\A=\frac{1}{2}( 3175.2)\\A=1587.6\)

I hope this helps!

The number of students who watched the games = (2/3)x = [2/3 * Total number of students] = [2/3 * x] = (2/3) x 150 = 100 students.

Let's assume that the total number of students in the school stadium is x. So,1/5 of the students were basketball players => (1/5)x2/15 of the students were soccer players => (2/15)x

So, the rest of the students watched the games => x - [(1/5)x + (2/15)x]

Let's simplify the given expressions=> (1/5)x = (3/15)x=> (2/15)x = (2/15)x

Now, we can add these fractions to get the value of the remaining students=> x - [(1/5)x + (2/15)x]

=> x - [(3/15)x + (2/15)x]

=> x - (5/15)x

=> x - (1/3)x = (2/3)x

Students who watched the games are (2/3)x

.Now we have to find out how many students watched the game. So, we have to find the value of (2/3)x.

We know that, the total number of students in the stadium = x

Hence, we can say that (2/3)x is the number of students who watched the games, and (2/3)x is equal to [2/3 * Total number of students] = [2/3 * x]

Therefore, the students who watched the game are (2/3)x.

Hence the solution to the given problem is that the number of students who watched the games = (2/3)x = [2/3 * Total number of students] = [2/3 * x] = (2/3) x 150 = 100 students.

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The vertical component of velocity can be zero at specific points in the motion of an object.

What is Velocity?

Velocity is a vector quantity that describes the rate of change of an object's position in space over time. It is defined as the displacement of an object divided by the time interval during which the displacement occurred.

The vertical component of velocity can be zero at specific points in the motion of an object. This occurs when the object reaches the highest point in its vertical motion and begins to fall back down. At this point, the vertical component of velocity changes direction from upward to downward, and its magnitude becomes zero. This moment is known as the "instant of maximum height" or "instant of maximum altitude." Beyond this point, the vertical component of velocity becomes negative, indicating that the object is moving downward.

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Answer:

h = 9km

Step-by-step explanation:

area of a trapezoid= ½ x (a+b) x h

117 = (2+2+11 +11) / 2 x h

h = 117 / 26÷2

h = 9km

The value of sec 19° is approximately 1.058, which corresponds to answer choice D.

To find the value of sec 19° using a calculator, follow these steps:

Turn on your calculator and make sure it is in degree mode.

Enter "19" and press the "cos" button. This will give you the value of cos 19°.

Press the "1/x" button, which represents the reciprocal function, to find the value of sec 19°.

Using this method, we get:

cos 19° = 0.948

1/cos 19° = 1/0.948 ≈ 1.058

Therefore, the value of sec 19° is approximately 1.058, which corresponds to answer choice D.

It is important to note that some calculators may have slight variations in their calculations due to rounding or other factors. However, the answer should be very close to 1.058.

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The variance of the length of the critical path is 5.76.

Option A is the correct answer.

We have,

To calculate the variance of the length of the critical path in the Critical Path Method (CPM) with three-time estimates (PERT), we can use the formula:

Variance = (Standard Deviation)²

Given that the standard deviation is 2.4, we can substitute it into the formula:

Variance = (2.4)² = 5.76

Therefore,

The variance of the length of the critical path is 5.76.

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The characteristic that is not a characteristic of a good vector (plasmid) is "Plasmids contain reporter genes that provide a visual indication of whether a cell contains a vector with an insert."

Plasmids are commonly used as vectors in molecular biology to carry and transfer genes of interest into host cells. They possess several characteristics that make them suitable for this purpose. Let's discuss each characteristic mentioned in the options and identify the one that does not apply:

Plasmids can carry one or more resistance genes for antibiotics: This is indeed a characteristic of a good vector. Plasmids often contain antibiotic resistance genes that allow selection for cells that have successfully taken up the plasmid. The presence of resistance genes enables researchers to screen for and identify cells that have successfully acquired and maintained the plasmid of interest.

Plasmids have an origin of replication so they can reproduce independently within the host cells: This is another characteristic of a good vector. Plasmids possess an origin of replication (ori), which is a specific DNA sequence that allows them to replicate autonomously within the host cells. This ability to self-replicate is essential for maintaining and propagating the plasmid and the genes it carries.

Vectors have been engineered to contain an MCS (multiple cloning site): This is also a characteristic of a good vector. An MCS, also known as a polylinker, is a DNA region engineered into the vector that contains multiple unique restriction enzyme recognition sites. These sites allow for the insertion of DNA fragments of interest into the vector. The presence of an MCS facilitates the cloning of desired genes or DNA fragments into the plasmid.

Plasmids contain reporter genes that provide a visual indication of whether a cell contains a vector with an insert: This statement is not a characteristic of a good vector. While plasmids can be engineered to contain reporter genes, such as fluorescent or luminescent proteins, their presence is not a universal characteristic of all plasmids or vectors. Reporter genes are useful for visualizing and confirming the presence of the inserted gene or DNA fragment, but their inclusion is not essential for a vector to be considered "good."

Therefore, the characteristic that is not a characteristic of a good vector (plasmid) is "Plasmids contain reporter genes that provide a visual indication of whether a cell contains a vector with an insert." While reporter genes can be incorporated into plasmids for certain applications, they are not a fundamental requirement for a plasmid to function as a good vector.

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In Herrnstein's matching equation, the letters and numbers to the left of the equals sign refer to behaviour.

THE MATCHING LAW

Herrnstein's Experiment Herrnstein (1961) conducted an experiment with pigeons in a room with two response buttons, red and white. Each key was assigned its own VI gain schedule. For example, under one condition, the left button pick was boosted on a VI 135 second schedule, and the right button pick was boosted on a VI 270 second schedule.

After the birds have learned as much as possible about this electoral situation, how do they distribute their responses? We trained them for days and then measured their reactions. As is often the case with VI schedules, birds returned many responses for each reinforcer received. Most interesting, however, is that in this condition, where two-thirds of the reinforcers came from the left button, the birds performed about two-thirds of the responses with the left button. That is, the proportion of left button responses equaled or matched the proportion of reinforcers delivered by the left button. In another condition, two birds received only about 15% of reinforcers from the left key and responded about 15% to that key.

Based on these results, Herrnstein proposed the following general principle for individual behavior when presented with alternative sequences. So, what you think makes sense rather than other options available at that particular moment.

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The average amount Rebecca pays for electricity based on the given data is $124.60.

To calculate the average, we add up the amounts she paid in each month and then divide by the total number of months. In this case, the sum of her payments is $135 + $129 + $99 + $120 + $140 = $623. Dividing this sum by the total number of months (5), we get an average of $623 / 5 = $124.60. Calculating the average helps us determine the typical amount Rebecca pays for electricity based on the given data. It provides an overall picture of her average expenses in the specified period.

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A company conducts a survey to measure customer satisfaction on a scale of 1 to 10. The range of customer satisfaction scores is a. 4

To find the range of customer satisfaction scores, we need to calculate the difference between the highest and lowest scores.

The highest score in the given data set is 10, and the lowest score is 6. Therefore, the range is 10 - 6 = 4.

The range is a measure of variability and represents the spread of the data. In this case, the customer satisfaction scores range from 6 to 10, indicating a spread of 4 points on the scale.

It's important to note that the range only considers the highest and lowest scores and does not take into account the distribution of the remaining scores.

Therefore, it provides a limited understanding of the overall variability in customer satisfaction.

Other measures such as standard deviation or interquartile range may provide a more comprehensive analysis of the data distribution.

The correct option is: a. 4

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Complete question below :

A company conducts a survey to measure customer satisfaction on a scale of 1 to 10. The survey results for a sample of 50 customers are as follows: 8, 9, 7, 6, 9, 8, 10, 7, 8, 6, 7, 9, 10, 9, 8, 7, 6, 9, 8, 10, 7, 6, 7, 8, 9, 10, 8, 7, 9, 8, 6, 7, 9, 8, 10, 7, 8, 6, 9, 8, 7, 10, 9, 8, 6, 7, 9, 8, 10, 7, 8.

What is the range of customer satisfaction scores?

a. 4

b. 3

c. 5

d. 2

e. 1

The value of the expression according to the order of operations is -11. Thus option D is correct.

According to the statement

We have to find that the value of the given expression.

So, For this purpose, we know that the

The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression.

From the given information:

The expression are :

(-2)-3-6

Now solve it with the order then

(-2)-3-6 = (-2)-3-6

(-2)-3-6 = -2-3-6

Now add the first two terms

then

(-2)-3-6 = -5-6

Now, Add next two terms

Then

(-2)-3-6 = -11.

The value becomes -11.

So, The value of the expression according to the order of operations is -11. Thus option D is correct.

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Step-by-step explanation:

To find the equation of the polynomial function, we can use the factored form, which involves multiplying out factors of the form (x - a), where a is a root of the polynomial. Since f(x) has x-intercepts at -3, 0, and 3, we know that the function can be written as:

f(x) = A(x + 3)(x - 3)x

where A is some constant that scales the function vertically. To find A, we can use one of the local extrema. Since f(x) has a local maximum at x = 2, we know that f'(2) = 0 and f''(2) < 0. Taking derivatives of f(x), we get:

f'(x) = A(x + 3)(x - 3) + A(x - 3)x + A(x + 3)x = 3Ax

f''(x) = 6A

Setting f'(2) = 0, we get:

f'(2) = 3A(2) = 0

A = 0

This tells us that the local maximum at x = 2 is actually a horizontal inflection point. To find the value of the function at x = -1 (the local minimum), we can substitute this value into the factored form and simplify:

f(-1) = A(-1 + 3)(-1 - 3)(-1) = 8A

Since we want the function to have a local minimum at x = -1, we also want f''(-1) > 0. Using the second derivative test, we can see that this condition is satisfied if f''(x) > 0 for x < -1 and f''(x) < 0 for x > -1. Since f''(x) is constant, we just need to check its sign at any point:

f''(-2) = 6A > 0

A > 0

Therefore, we can choose A = 1 and write the equation of the polynomial function as:

f(x) = (x + 3)x(x - 3)

or

f(x) = x^3 - 9x

Answer:

θ= 39.7° (1 d.p.)

Step-by-step explanation:

Please see the attached picture for the full solution.

f(x) goes to -2. The end behavior of f(x) is that f(x) goes to -2 as x goes to infinity.

The end behavior of a function describes what happens to the function's values as the input (x) approaches positive or negative infinity.

For the given function f(x) = 2 - 2 as x goes to infinity, the end behavior can be determined by observing the constant term (-2) in the expression.

As x approaches positive infinity, the value of the function f(x) approaches the constant term (-2). Therefore, the correct answer is: The end behavior of f(x) is that f(x) goes to -2 as x goes to infinity.

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What is the end behavior of \(f(x) = 2^{-x} + 2\) as x goes to infinity?

O f(x) goes to -2

O f(x) goes to -4 f(x) goes to infinity

O f(x) goes to negative infinity

O f(x) goes to 0

Answer:

  (d)  219.80 ft

Step-by-step explanation:

The side opposite the angle is given, and we want to find the side adjacent. The relevant trig relation is ...

  Tan = Opposite/Adjacent

  tan(20°) = (80 ft)/(distance to sculpture)

This rearranges to ...

  distance to sculpture = (80 ft)/tan(20°) ≈ 219.80 ft