Negating conditional statement (a V ~ b) => c

Please show your work and give a proper answer

Answer:

(a) dp/dx = 90/(x+2)

(b) $2.25

(c) approx = $2.25

    exact = $2.22

Step-by-step explanation:

\(p = 20 + 90 \ln(2x + 4)\)

(a) To find the rate of change, differentiate \(p\) with respect to \(x\) :

\(\implies \frac{d}{dx}(p) = \frac{d}{dx}(20) + \frac{d}{dx}(90 \ln(2x + 4))\)

\(\implies \frac{dp}{dx}=0+90\times\dfrac{1}{2x+4}\times2\)

\(\implies \frac{dp}{dx}=\dfrac{180}{2x+4}\)

\(\implies \frac{dp}{dx}=\dfrac{90}{x+2}\)

(b)  Find  \(\frac{dp}{dx}\)  when \(x=38\) :

\(\implies \frac{dp}{dx}=\dfrac{90}{38+2}\)

\(\implies \frac{dp}{dx}=\dfrac{90}{40}\)

\(\implies \frac{dp}{dx}=2.25\)

(c)  Approximate price increase associated with the number of units supplied changing from 38 to 39 is  \(\frac{dp}{dx}\)  when \(x=38\)

\(\implies \$2.25\)

Exact price increase:

\(\implies \left. p \right_{x=39}-\left. p \right_{x=38}\\\\\implies [20 + 90 \ln(2 \times 39 + 4)]-[20 + 90 \ln(2\times38 + 4)]\\\\\implies 416.6047323...-414.3823972...\\\\\implies 2.222335133...\\\\\implies \$2.22\)

The given statement is false. If a sample is selected using random sampling methods, the primary reason that the sample mean might be different from the corresponding population mean is not that the sample might be biased.

Because random sampling ensures that results obtained from the sample should approximate what would have been obtained if the entire population had been measured. And the simplest random sample allows all the units in the population to have an equal chance of being selected. In this case, the sample might not be biased.

Random sampling is a part of the sampling technique where each sample has an equal probability of being chosen. A sample chosen randomly is meant to be an unbiased representation of the total population.

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The mean number of defective bulbs is 40 and the variance for the distribution of defective bulbs is 36.0.

Given that, 10% of bulbs produced by a factory are defective. A sample of 400 bulbs is taken.

The number of defective bulbs is a binomial distribution, as it is a sample of bulbs with a probability of 10% of being defective. The mean number of defective bulbs is P×N = 0.1 × 400 = 40.

Therefore, option C is the correct answer.

The variance of a binomial distribution = Npq, where p = probability, q = 1-p, N = sample size, and p and q are 0.1 and 0.9 respectively. Hence, the variance = 400 × 0.1 × 0.9 = 36.0.

Therefore, option A is the correct answer.

Therefore, the mean number of defective bulbs is 40 and the variance for the distribution of defective bulbs is 36.0.

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The number of hip-hop songs that the channel plays for every 12 pop songs is given as follows:

8 hip-hop songs.

The number of hip-hop songs is obtained applying the proportions in the context of this problem.

The point on the graph is (3,2), meaning that for every 3 pop songs, 2 hip -hop songs are played, hence the rule of three is given as follows:

3 pop songs - 2 hip-hop songs.

12 pop sings - x hip-hop songs.

Applying cross multiplication, the value of x is obtained as follows:

3x = 24

x = 24/3

x = 8.

The point is (3,2).

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The statement refers to the way that symbols are represented in sequences, a common practice in formal language theory, by employing a notation that makes symbols a part of the sequence.

In formal language theory, a language is often defined as a set of strings over an alphabet. By representing any alphabetic sequence of symbols as a single string using the notation outlined in the statement, we are able to recognise the language that comprises that sequence as a collection of strings. A subset of the language having all possible strings over the alphabet (a, b, and c) is the set of strings abc, which may be used to represent the language including the sequence (a, b, and c). So, this notation offers an easy approach to discuss languages and the sequences that make up such languages.

Hence, the statement relates the symbols and sequences.

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where is the rest of the question?

is that it?

can you give us more info on this question? like anything?

thanks

Answer:

\(216\)

Step-by-step explanation:

Remember that \(a^{b}=a*a*a*a*... b~~times\).

So, \(6^3=6*6*6=(6*6)*6=36*6=\boxed{216}\)

Answer:- 1) there are three terms

2) 3,4,1

Answer:

30 and 60 degrees

Step-by-step explanation:

30 and 60 are complementary angles. 60 is two times the measure of its complementary angle, or 30. 60+30=90.

Complementary angles are angles that add up to 90 degrees.

Angle one = x

Angle two = 2x

2x + x = 90 degrees

Combine like terms.

3x = 90 degrees.

Divide both sides by 3

x = 30

Angle one = x = 30 degrees

Angle two = 2x = 2(30) = 60 degrees.

Question 1:

(a) The equation representing Elaine's total parking cost is:

C = x * t

(b) So the cost of parking for a full 24 hours would be 24 times the cost per hour.

Question 2:

The given system of equations is inconsistent and has no solution.

(a) To represent Elaine's total parking cost, C, in dollars for t hours, we need to know the cost per hour. Let's assume the cost per hour is $x.

(b) If Elaine wants to park her car for a full 24 hours, we can substitute t = 24 into the equation from part (a):

C = x * 24

Question 2:

To solve the linear system:

-x - 6y = 5

x + y = 10

We can use the elimination method.

Multiply the second equation by -1 to create opposites of the x terms:

-x - 6y = 5

-x - y = -10

Add the two equations together to eliminate the x term:

(-x - 6y) + (-x - y) = 5 + (-10)

-2x - 7y = -5

Now we have a new equation:

-2x - 7y = -5

To check the answer, we can substitute the values of x and y back into the original equations:

From the second equation:

x + y = 10

Substituting y = 3 into the equation:

x + 3 = 10

x = 10 - 3

x = 7

Checking the first equation:

-x - 6y = 5

Substituting x = 7 and y = 3:

-(7) - 6(3) = 5

-7 - 18 = 5

-25 = 5

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The x-intercept is (1/3, 0) and the y-intercept is (0, 1/2). Plot these two points on the coordinate plane and draw a straight line passing through them.

What is graph?

A diagram (such as a series of one or more points, lines, line segments, curves, or areas) that represents the variation of a variable in comparison with that of one or more other variables

To find the x-intercept, set y = 0 and solve for x:

3x + 2(0) = 1

3x = 1

x = 1/3

To find the y-intercept, set x = 0 and solve for y:

3(0) + 2y = 1

2y = 1

y = 1/2

So, the x-intercept is (1/3, 0) and the y-intercept is (0, 1/2). Plot these two points on the coordinate plane and draw a straight line passing through them.

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The area of the shaded region is  π(R + 3)² - 9π where R is teh radius of the outer circle

The circumference of the inner circle is 18.84 feet

So, we have

2πr = 18.84

Divide by 2π

r = 18.84/2π

Evaluate

r = 3.0

So, the area of the inner circle is

A = πr²

This gives

A = π * 3²

Evaluate

A = 9π

The shaded area is

Area of big - Area of inner circle

So, we have

Shaded area = π(R + 3)² - 9π where R is teh radius of the outer circle

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For binary class classification, assumptions are necessary in a way:

Given that

From Boyer Naive classifier,

We evaluate (ai | vj) is given below

(ai | vj) = n(e) + m(p) / n + m

Here,

m = equivalent sample size

n(e) = number of training examples

for which v = vj and a = ai

n(i) = number of training example for which v = vj

P = a prior estimate for P(ai | vj)

Here, we calculate that

P(SUV | yes), P(Red | yes), P(Domestic | yes)

P(SUV | no), P(Red | no), P(Domestic | no)

We evaluating this value like

yes:

RED :                             SUV:                            DOMESTIC:

n = 5                              n = 5                             n = 5

n(c) = 3                          n(c) = 1                           n(c) = 2

P = 0.5                          P = 0.5                           P = 0.5

m = 3                              m = 3                            m = 3

Therefore, with the above calculation we can justify that the simplifying assumptions are necessary in a binary class classification.

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Answer:

11

Step-by-step explanation:

Pythagorean Theorem: a² + b² = c²

If Triangle A ≅ Triangle B, then hypotenuse length of A would be 9 cm and the another side of triangle A is stay 6 cm.

\( {6}^{2} + {x}^{2} = {9}^{2} \)

\(36 + {x}^{2} = 81\)

\( {x}^{2} = 81 - 36 = 45\)

\(45 = 3 \sqrt{5} = x\)

Perimeter of triangle a :

\(9 + 6 + 3 \sqrt{5} = 15 + 3 \sqrt{5} \)

Hope this helps ^-^

1. Find the graph of the parabola attached below

2. Vertex (-4, 2)   Focus (-7/2, 2)  Directrix (x = -9/2)  Endpoints (-7/2, 1) (-7/2, 3)

For the parabola,  x = 1/2(y-2)² - 4 we will use the equation x = 4p(y-k)² + h,

Vertex → (h, k)

In our given equation, (y - 2) → (y - k), so k = 2. The term on the rightmost side of our equation (-4) → h in the form, so we know h = -4. ∴  vertex (-4, 2).

focus → (h, k) = (-4, 2); P = 1/2

Parabola is symmetric around the x axis and so the focus lies a distance P, from the center, along the x axis.

∴  Focus is (-4 + p, 2)

(-4 + 1/2, 2) ⇒ (-7/2, 2)

directrix → x = d

Parabola is symmetric around the x axis and therefore the directrix is a line paralled to the y axis a distance away from the ceter (-4, 2) x coordinate.

∴ x = -4 - p   ⇒ x = -4 - 1/2

x = 9/2

focal chord endpoints →

The focus of the parabola is (-7/2, 2).

The y-coordinate of the focus is 2, so the y-coordinates of the endpoints of the focal chord are 2 + 1 and 2 - 1, → 3 and 1.

Therefore, the endpoints of the focal chord are:

(-7/2, 3) and (-7/2, 1).

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\(1. \: 405352 \: cm = 4.05352 \times {10}^{5} \: cm\)

___o___o___

2. 7.6352 x 10-3 kg ( This is scientific notation) [ If you want —> Standard notation]

7.6352 x 10^ -3 kg = 0.0076352 kg

__o_o___

\(3. \: \: 3.1 \times 10 ^{4} mm + 4.87 \times {10}^{5} \: mm \\ 0.31\times 10 ^{4} mm + 4.87 \times {10}^{5} \: mm \\ = 5.18 \times {10}^{5} \: mm\)

____o___o___

\(4. \: \: (4.8 \times {10}^{5} \: km) \times (2.0 \times {10}^{3} \: km ) \\ = 9.6 \times {10}^{8} \: km\)

____o____o____

\(5.(3.3 \times{10}^{ - 4}\: ml)\div(1.1 \times {10}^{ - 6}\: ml) \\ \\ \frac{3.3 \times {10}^{ - 4} \: ml}{1.1 \times {10}^{ - 6} \: ml} = \frac{33 \times {10}^{ - 4} \: ml}{11 \times {10}^{ - 6} \: ml} \\ \\ = \frac{33 \times {10}^{ - 4 + 6} }{11} ml \\ \\ = 3 \times {10}^{2} \: ml\)

I hope I helped you^_^

The measure of the variable 'b' from the line is 11

Collinear points are points that lies on the same straight line. From the given diagram:

XY = YZ  (since Y is the midpoint of XZ)

where:

XY = 2b + 7

YZ = 3b - 4

Substitute the given parameters to have:

2b + 7 = 3b - 4

2b - 3b = -4 - 7

-b = -11

b = 11

Hence the measure of the value of b from the line is 11

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The perimeter of the given window is 48 centimeter.

From the given figure,

Perimeter of window = 2(Length+Breadth)

= 2(10+14)

= 2×24

= 48 centimeter

Perimeter of house = 2(Length+Breadth)

= 2(37+35)

= 2×72

= 144 centimeter

Perimeter of roof = 2(Length+Breadth)

= 2(37+5)

= 2×42

= 84 centimeter

Therefore, the perimeter of the given window is 48 centimeter.

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The percentage error by calculating by differentials to approximate value of sqrt(99.4) = 0.00045 percentage.

For   percentage error Here first we have to find the value of sqrt(99.4) by  normal calculation and second we will calculate it by differential method then we will find the percentage error .

To approximate sqrt(99.4)  we will  use formula for linear approximation as given below  

f(x) = f(c) + f′(c)(x−c)

and we are dealing with square root so we have to find the f(x) ad here

f(x) = √x

and we will calculate  f'(x)  and here it is

f'(x) = 1/(2√x)

Here, x=99.4 and we choose c =100 because that’s the closest perfect square number to 99.4. so

f(c) = f(100) = √100 = 10

f'(c) = f'(100) =1/(2√100) = 1/20

f(x) =f(c) + f′(c)(x−c)

f(x) = f(99.4)=f(100)+f'(100)(99.4-100)

=10+1/20*(-0.6)

=9.97

Here we find the value by differential = 9.97

and by simple calculation the value is = 9.96995486

ans percentage error = (real value - differential value)/100

= (9.96995486-9.97)/100 = 0.00045 percentage

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Answer:

The first thing we need to do is to find the area bounded by:

y = x^3

y = 0

between:

x = 0 and x = 2

This is the integral of the given function between x = 0 and x = 2, written as:

\(\int\limits^2_0 {x^3} \, dx = \frac{2^4}{4} - \frac{0^4}{4} = 2^2 = 4\)

This means that the area of the bounded region is 4 square units.

Now, if we do a full rotation around the x-axis, the volume generated will be equal to the area that we obtained times 2*pi units.

The volume is:

V = (4 square units)*(2*pi units) = 8*pi cubic units.

(Notice that no option coincides with this, there may be a mistake in the options)

Answer:

11

Step-by-step explanation:

The focal length is 14, and thus the sum of the lengths of the blue and red segments is also 14.

Answer:

A ≈ 346.36

Step-by-step explanation:

To find the answer, you must use the formula, A=πr²

Since only the diameter was provided, you need to divide it by 2 to find the radius. 21 divided by 2 equals 10.5, so that will be your radius.

Another formula that can be used while using only the diameter would be A= 1/4 π d²

Answer:

hope this helps!

Answer:

\(110 + 11w\)

Step-by-step explanation:

Step 1:  Distribute

\(11(10 + w)\)

\((11 * 10) + (11 * w)\)

\(110 + 11w\)

Answer:  \(110 + 11w\)

Answer:

12,180

Step-by-step explanation:

got