Find a proposition with three variables p, q, r that is always false. Use a truth table or the laws of logic to show that your proposition is a contradiction.

The time needed between injections of a drug is determined using an exponential function \(\(D(h) = 40e^{-0.15h}\)\). By setting the function equal to 9 solving for h. We obtain \(\(h = \frac{\ln\left(\frac{9}{40}\right)}{-0.15}\)\).

To find the time needed between injections, we set the exponential function equal to 9 and solve for h:

\(\[9 = 40e^{-0.15h}\]\)

To isolate the exponential term, we divide both sides by 40:

\(\[e^{-0.15h} = \frac{9}{40}\]\)

Taking the natural logarithm of both sides, we can solve for \(h\):

\(\[\ln(e^{-0.15h}) = \ln\left(\frac{9}{40}\right)\]\)

Using the property of logarithms, the natural logarithm and exponential cancel out:

\(\[-0.15h = \ln\left(\frac{9}{40}\right)\]\)

Now, we can solve for \(h\) by dividing both sides by -0.15:

\(\[h = \frac{\ln\left(\frac{9}{40}\right)}{-0.15}\]\)

Using a calculator, we can evaluate the right side of the equation to get the value of \(h\). This value represents the time needed between injections, rounded to the nearest tenth of an hour.

Learn more about exponential here :

https://brainly.com/question/29160729

#SPJ11

The factors that affect band gap are material, temperature, pressure and strain.

Band gap refers to the energy difference between the highest occupied energy level and the lowest unoccupied energy level in a material. This energy difference plays a crucial role in determining the electrical and optical properties of a material. The band gap is a critical factor in the design of electronic devices and solar cells.

There are several factors that can affect the band gap of a material. The most important factor is the composition of the material. The band gap is dependent on the electronic structure of the atoms in the material. Another factor that can affect the band gap is the crystal structure of the material. The band gap is influenced by the arrangement of atoms in the crystal lattice.

Temperature is also a significant factor that affects the band gap of a material. As the temperature increases, the energy of the electrons in the material increases, causing the band gap to decrease.

Additionally, external factors such as pressure and strain can also affect the band gap of a material. When a material is subjected to high pressure or strain, its crystal structure can change, altering its electronic properties and causing a change in the band gap.

To know more about band gap here.

https://brainly.com/question/14124478

#SPJ4

Answer:

\(\boxed{\sf n= \dfrac{2}{5} ,\: n=1}\)

Step-by-step explanation:

\(\rightarrow 5n^2 = 7n -2\)

\(\rightarrow 5n^2 - 7n +2=0\)

\(\rightarrow 5n^2 - 5n -2n+2=0\)

\(\rightarrow 5n(n - 1) -2(n-1)=0\)

\(\rightarrow (5n-2)(n-1)=0\)

\(\rightarrow 5n-2= 0,\: n-1=0\)

\(\rightarrow 5n= 2,\: n=1\)

\(\rightarrow n= \dfrac{2}{5} ,\: n=1\)

Step-by-step explanation:

\(\hookrightarrow\sf{5n^2 = 7n -2}\\\\\hookrightarrow\sf{5n^2 - 7n +2=0}\\\\\hookrightarrow\sf{5n^2 - (5+2)n +2=0}\\\\\hookrightarrow\sf{5n^2 - 5n -2n+2=0}\\\\\hookrightarrow\sf{ 5n(n - 1) -2(n-1)=0}\\\\\hookrightarrow\sf{ (5n-2)(n-1)=0}\\\\\hookrightarrow\sf{ 5n-2= 0\:or~ n-1=0}\\\\\hookrightarrow\sf{ 5n= 2\:or~n=1}\\\\\hookrightarrow\bold{ n= \dfrac{2}{5} \:or~ n=1}\)

Answer: The answer to your question is 60%

Step-by-step explanation: The total number of marbles in Joseph's bag is:

2 (red) + 4 (green) + 10 (yellow) + 9 (purple) = 25

The probability of choosing one marble that is not yellow can be found by dividing the total number of marbles that are not yellow by the total number of marbles in the bag:

P(not yellow) = (2 red + 4 green + 9 purple) / 25

P(not yellow) = 15/25

P(not yellow) = 3/5

P(not yellow) = 0.6 or 60%

Therefore, the answer is 60%.

Answer:

60%

Step-by-step explanation:

Answer: The answer to your question is 60%

Step-by-step explanation: The total number of marbles in Joseph's bag is:

2 (red) + 4 (green) + 10 (yellow) + 9 (purple) = 25

The probability of choosing one marble that is not yellow can be found by dividing the total number of marbles that are not yellow by the total number of marbles in the bag:

P(not yellow) = (2 red + 4 green + 9 purple) / 25

P(not yellow) = 15/25

P(not yellow) = 3/5

P(not yellow) = 0.6 or 60%

Therefore, the answer is 60%.

Answer: $7.50

Step-by-step explanation:

The total salary juma receives for the month of July before the deductions is sh. 12,800

Let

School fees + farming = 1/2x + 1/8x

= 4x+x/8

= 5/8x

Amount remaining = x - 5/8x

=8x-5x /8

= 3/8x

Amount spent on food = 2/3 × 3/8x

= 6/24x

= 1/4x

So,

1/4x = sh.3200

x = 3200 ÷ 1/4

x = 3200 × 4

x = sh. 12,800

Complete question:

Juma spent half of his salary on school fees one-eighth on farming and two thirds of the reminder on food . Calculate his July salary if he spent sh.3200 on food

Learn more about fraction:

https://brainly.com/question/11562149

#SPJ1

Answer:

25

Step-by-step explanation:

180-130=50

50/2=25

Answer:

x = 25 degrees

Step-by-step explanation:

the figure is an isosceles triangle

x + x + 130 = 180

2x + 130 = 180

2x = 180 - 130

2x = 50

x = 25 degrees

Therefore, the ground state (n = 1) comes closest to satisfying the uncertainty principle, as it achieves the smallest possible values for Ox and Op in the infinite square well.

To calculate the values and check the uncertainty principle for the nth stationary state of the infinite square well, we need to consider the following:

(x): The position of the particle in the nth stationary state is given by the equation x = (n * L) / 2, where L is the length of the well.

(x^2): The expectation value of x squared, (x^2), can be calculated by taking the average of x^2 over the probability density function for the nth stationary state. In the infinite square well, (x^2) for the nth state is given by ((n^2 * L^2) / 12).

(p): The momentum of the particle in the nth stationary state is given by the equation p = (n * h) / (2 * L), where h is the Planck's constant.

(p^2): The expectation value of p squared, (p^2), can be calculated by taking the average of p^2 over the probability density function for the nth stationary state. In the infinite square well, (p^2) for the nth state is given by ((n^2 * h^2) / (4 * L^2)).

Ox: The uncertainty in position, Ox, can be calculated as the square root of ((x^2) - (x)^2) for the nth state.

Op: The uncertainty in momentum, Op, can be calculated as the square root of ((p^2) - (p)^2) for the nth state.

Now, let's analyze the uncertainty principle by comparing Ox and Op for different values of n. As n increases, the uncertainty in position (Ox) decreases, while the uncertainty in momentum (Op) increases. This means that the more precisely we know the position of the particle, the less precisely we can know its momentum, and vice versa.

The state that comes closest to the uncertainty limit is the ground state (n = 1). In this state, Ox and Op are minimized, reaching their minimum values. As we move to higher energy states (n > 1), the uncertainties in position and momentum increase, violating the uncertainty principle to a greater extent.

To know more about infinite square well,

https://brainly.com/question/31391330

#SPJ11

As a result of answering the given question, we may state that Hence the region where y is less than -4/5 and higher than -13/5 is the solution to the system of linear inequalities.

In mathematics, an inequality is a non-equal connection between two expressions or values. As a result, imbalance leads to inequity. In mathematics, an inequality connects two values that are not equal. Inequality is not the same as equality. When two values are not equal, the not equal symbol is typically used (). Various disparities, no matter how little or huge, are utilised to contrast values. Many simple inequalities can be solved by altering the two sides until just the variables remain. Yet, a lot of factors contribute to inequality: Negative values are divided or added on both sides. Exchange left and right.

The graph illustrating the solution to the system of linear inequalities is as follows:

To see why, we can first find the intersection point of the two lines by making them equal:

\(2x – 5 = -3x + 1\s5x = 6\sx = 6/5\\y < 2(6/5) - 5\sy < -4/5\\y > -3(6/5) + 1\sy > -13/5\)

Hence the region where y is less than -4/5 and higher than -13/5 is the solution to the system of linear inequalities.

To know more about inequality visit:

https://brainly.com/question/29914203

#SPJ1

The length of the swimming pool is 30 feet

The width of the swimming pool is 15 feet

The volume of the swimming pool is 16875 gallons

Given,

Length of the rectangular swimming pool = 2x

Width of the rectangular swimming pool = x

A small concrete walkway surrounds the pool.

The width of the walkway = 2 feet

The area of the walkway = 196 square feet

We have to find the dimensions of the pool;

Here,

Area of rectangle = length x width

Area of walkways = (4x + 8x) + 4 x 4 = 196

12x + 16 = 196

12x = 196 - 16

12x = 180

x = 180/12

x = 15

That is,

Width of the pool is 15 feet

Length of the pool = 2 × x = 15 x 2 = 30 feet

Now,

If the depth of the pool is 6 feet, we have to find the amount of water that the pool can hold if the height of water is 1 foot below the top of the pool.

That is,

Volume of pool = length x width x depth

Here, depth = 6 - 1 = 5 feet

So,

Volume = 15 x 30 x 5 = 2250 cubic feet

Convert cubic feet to gallons

2250 x 7.5 = 16875 gallons of holding capacity

Learn more about dimensions and volume of swimming pool here;

https://brainly.com/question/21485157

#SPJ1

Answer:

Of (multiplication) 0*-1=0, sum (addition) 0+(-1)=-1

Step-by-step explanation:

Answer: 10

Step-by-step explanation:

parenthesis first 9 - 15 + 8 x 2

multiply 8 x 2

you now have 9 - 15 + 16

subtract first because addition and subrtaction go in the order they're in the equation: 9 - 15 = -6

then add -6 + 16 = 10

There is sufficient evidence to believe that the number of household pets leaving the shelter over the weekend is different from the proportion of wildlife animals leaving the shelter over the weekend.

To determine if there's sufficient evidence,

Let us define the null and alternative hypotheses for this test as follows:

Null hypothesis (H0): The proportion of household pets leaving the shelter over the weekend is the same as the proportion of wildlife animals leaving the shelter over the weekend.

Alternative hypothesis (Ha): The proportion of household pets leaving the shelter over the weekend is different from the proportion of wildlife animals leaving the shelter over the weekend.

The test statistic for two sample test is given by:

z = (p1 - p2) / sqrt(p * (1 - p) * (1/n1 + 1/n2))

where

p1 and p2 are the proportions of household pets and wildlife animals leaving the shelter over the weekend, respectively,

p is the pooled proportion,

n1 and n2 are the sample sizes for household pets and wildlife animals, respectively.

Pooled proportion is

p = (x1 + x2) / (n1 + n2)

where x1 and x2 are the number of household pets and wildlife animals leaving the shelter over the weekend, respectively.

Given

-n1 = 376, n2 = 52, x1 = 29, x2 = 10

p = (29 + 10) / (376 + 52) = 0.091

The observed proportions are:

p1 = x1 / n1 = 29 / 376 = 0.0771

p2 = x2 / n2 = 10 / 52 = 0.1923

The test statistic value

z = (0.0771 - 0.1923) / sqrt(0.091 * (1 - 0.091) * (1/376 + 1/52)) = -3.04

By using a standard normal distribution table,

The p-value is 0.00238.

Since the p-value (0.00238) is less than the level of significance (0.01), we reject the null hypothesis and conclude that there is sufficient evidence to indicate a difference in the number of animals leaving the shelter over the weekend for household pets and wildlife animals.

Learn more on t test onhttps://brainly.com/question/6589776

#SPJ1

Answer:

Ratio of length of cell A to cell B is 20 : 1

Step-by-step explanation:

Length of cell A = \(8\times 10^{-6}\) m

Length of cell B = 0.0000004 m

Convert the length of cell B into scientific notation.

Length of cell B = \(4.0\times 10^{-7}\)

Now the ratio of the lengths of cell A and cell B = \(\frac{8.0\times 10^{-6}}{4.0\times 10^{-7}}\)

                                                                                = \(2\times 10^{7-6}\)

                                                                                = 20

Therefore, ratio of length of cell A to cell B is 20 : 1

Sue's optimal bidding strategy would be to choose option A and submit a bid of $150.

In a first-price, sealed-bid auction with independent private values, bidders submit sealed bids, and the highest bidder wins the auction and pays their submitted bid. Since Sue knows her own valuation is $200, her goal is to maximize her expected utility, which is the difference between her valuation and the amount she pays if she wins the auction.

To determine Sue's optimal bidding strategy, we need to consider the expected payoff of different bidding options. Let's evaluate each option:

A. Submit a bid of $150: If Sue submits a bid of $150 and wins the auction, she pays $150, which is less than her valuation of $200. Her expected payoff in this case is $200 - $150 = $50.

B. Submit a bid of $200: If Sue submits a bid of $200 and wins the auction, she pays $200, which is equal to her valuation of $200. Her expected payoff in this case is $200 - $200 = $0.

C. Submit a bid that is less than $150: If Sue submits a bid lower than $150, she has no chance of winning the auction, and her expected payoff is zero.

D. Yell "mine" when the bid reaches $150: This option is not applicable to a sealed-bid auction, as bidders do not have the opportunity to modify their bids once they are sealed.

Based on the analysis above, Sue's optimal bidding strategy would be to choose option A and submit a bid of $150. This strategy allows her to potentially win the auction while paying an amount lower than her valuation, resulting in a positive expected payoff.

Learn more about Auction here

brainly.com/question/17288557

#SPJ4

Answer:

9.2

Step-by-step explanation:

= | (-3) - 6.2 |

= | -9.2 |

= 9.2

Answer:

-15 because first mutipli 6 and 2 then - 3 subtracted by 12

Problem

1 1/3 divided by 40 by using the algorithm method

Solution

For this case we can do this first:

And then we can divide this number by 40 like this:

Answer:

47

Step-by-step explanation:

4 and 7 have a difference of 3. And if the digits are interchanged, the number is 74

47 + 74 = 121 so 47 is the original number.

Answer:

2.4375 acres for cabbage

Step-by-step explanation:

The option that is not characteristic of the t-test is "The Student t distribution has mean of t = 0 and a standard deviation of 5 = 1". The correct answer is option A.

The t-test is a statistical test that uses the Student t-distribution. The Student t-distribution has a mean of 0, but its standard deviation is not equal to 1. The standard deviation of the t-distribution varies depending on the degrees of freedom, which is determined by the sample size. Therefore, the statement in option A is not true. The correct answer is option A.

You can learn more about t-test at

https://brainly.com/question/6589776

#SPJ11

To multiply these fractions, we can simplify each fraction first:

64e^2/5e * 3e/8e = (8*8*e*e)/(5*e) * (3*e)/(2*2*2*e)

Next, we can cancel out common factors between the numerators and denominators:

= (8*8*1*1)/(5*1) * (1*1)/(2*2*2*1)

= 64/5 * 1/8

= 8.

Answer:

24e^2/5e my answer needs to be 20+characters sooooooooooo

Answer:

y= 25/3 - x/3

Step-by-step explanation:

y= 25/3 - x/3

The angular velocity of link CD when angle BAD = 60° is 21.16 rad/s.

The given values are:

AD = 150 mm

AB = 40 mm

CD = 80 mm

The crank AB rotates at 120 r.p.m. clockwise.

BC and AD are of equal length.

To find:

The angular velocity of link CD when angle BAD = 60°.

From the given data, we have to first find the value of angle BCD.

Angle BCD can be calculated as follows:

AB = 40 mm

BC = AD

= 150 mm

In ΔABC,

By using Cosine rule;

AC² = AB² + BC² - 2 × AB × BC × Cos ∠ABC∴ AC² = (40)² + (150)² - 2 × 40 × 150 × Cos 180°

∴ AC = 160.6 mm

In ΔBCD,

By using Cosine rule;

BD² = BC² + CD² - 2 × BC × CD × Cos ∠BCD

∴ BD² = (150)² + (80)² - 2 × 150 × 80 × Cos ∠BCD

In ΔABD,By using Cosine rule;

BD² = AB² + AD² - 2 × AB × AD × Cos ∠BAD

∴ BD² = (40)² + (150)² - 2 × 40 × 150 × Cos 60°

∴ BD = 184.06 mm

In ΔABD,By using Sine rule;

AB / Sin ∠BAD = BD / Sin ∠ABD

∴ Sin ∠ABD = BD × Sin ∠BAD / AB

∴ ∠ABD = Sin⁻¹ [BD × Sin ∠BAD / AB]

∴ ∠ABD = Sin⁻¹ [184.06 × Sin 60° / 40]

∴ ∠ABD = 87.2°∠ACD = ∠ABD - ∠ACB

∴ ∠ACD = 87.2° - 180°

∴ ∠ACD = - 92.8°∠BCD

= 180° - ∠ACD

∴ ∠BCD = 180° - (- 92.8°)

∴ ∠BCD = 272.8°

As we know that for four-bar mechanism, we have a formula for finding the angular velocity of link CD.

ωCD / Sin ∠BCD = ωAB / Sin ∠BADωCD / Sin 272.8°

= ωAB / Sin 60°

Substituting the values, ωCD / Sin 272.8° = ωAB / Sin 60°ωCD

= ωAB × Sin 272.8° / Sin 60°

But, ωAB = 2 × π × N / 60

= 2 × π × 120 / 60

= 4 × π rad/s

∴ ωCD = 4 × π × Sin 272.8° / Sin 60°ωCD

= 21.16 rad/s

Therefore, the angular velocity of link CD when angle BAD = 60° is 21.16 rad/s.

To know more about clockwise visit:

https://brainly.com/question/30960490

#SPJ11

Answer:

I will try to help, let me know

Step-by-step explanation:

No inferences can be made without performing a hypothesis test

A hypothesis test is a statistical test used to determine whether a specific hypothesis about a population parameter is supported by the data. In this test, a null hypothesis (H0) is stated, which is usually the assumption that the population parameter is equal to a specific value or falls within a certain range. An alternative hypothesis (Ha) is also stated, which is usually the opposite of the null hypothesis.

The next step is to collect data and use statistical techniques to calculate a test statistic, which measures how far the sample data deviates from the null hypothesis. The test statistic is compared to a critical value in a probability distribution, such as a t-distribution or z-distribution, which is determined based on the level of significance (alpha) and the degrees of freedom

Learn more about hypothesis test

https://brainly.com/question/30588452

#SPJ4

Full Question: what inferences about the relation between income and type of oven usage in population may be drawn from the data above?

Table attached

Answer:i have attached the graph...this it the teachers edition EXACT ANSWERS be smart.

Step-by-step explanation:

The x-axis is the independent variable and it represent the number of years since 2000. The y-axis is the dependent veriable and it represents the number of US citizens(in thousands) who earned a bachelor degree.

Calculate the area of each triangle:

Area of a triangle: 1/2 x base length x heigth

A1 = 1/2 x 8 x 7 = 28

A2 = 1/2 x 9 x 6 = 27

She should buy the second flag (b)

Answer:

136

Step-by-step explanation:

4 times 32 = 128

32/4=8

128+8=136

Answer:

135

Step-by-step explanation:

1. divide 32 by 60 to get how many copies per second

\(32/60 = 0.533\)

2. convert 4min and 15 sec to seconds

it is 255 seconds

3. Multiply copies per second by number of seconds

\(0.533(255) = 135.91\)

4. Round down to whole number because you can't copy part of a paper

Hello There this is your answer

and hope you a GREAT Thanksgiving :)

F ( X ) = 9

Answer:

15 days

Step-by-step explanation:

Take LCM of 3 and 5 and u get your answer