Pls help me asap...!!

The correct option is B.

The symbolic statement (p ∨ q) ∧ ~r represents "The chair is broken or it is time to sleep, and I do not study".

The statement (p ∨ q) ∧ ~r can be broken down as follows:

p ∨ q represents "The chair is broken or it is time to sleep".~r represents "I do not study".

The ∧ symbol represents "and".Therefore, the entire statement can be written as "The chair is broken or it is time to sleep, and I do not study"."It is time to sleep or the chair is broken and I do not study".

Hence the correct option is B.

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The property of equality being represented by the equation xa = xb when a = b is called the symmetric property. Correct option is b.

The symmetric property states that if a = b, then b = a. This means that the order of the variables can be reversed without changing the truth of the equation.

In the given equation xa = xb, we have two variables, x and a, and two instances of the variable x, represented as xa and xb. If a = b, we can apply the symmetric property to switch the order of the variables, resulting in xb = xa. This demonstrates that the equation remains true regardless of the order in which the variables are presented.

Therefore, the correct answer is b) symmetric, as the equation xa = xb represents the symmetric property of equality.

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False. a diagonalization argument, we can show that |N] + [[0, 1] |. Then, in order to prove |R| # |N|, we just need to show that | [0, 1] | = |R) S

The statement "| [0, 1] | = |R)" is not true.

The set [0, 1] represents the interval of real numbers between 0 and 1, while R represents the set of all real numbers. The cardinality of the set of real numbers (R) is equal to the cardinality of the set of points on a line, which is uncountably infinite (i.e., greater than aleph-null, the cardinality of the set of natural numbers). On the other hand, the cardinality of [0, 1] is the same as that of any interval of real numbers, which is also uncountable.

Therefore, neither set has the same cardinality as the other, and we cannot prove that |R| # |N| just by showing that | [0, 1] | = |R). Other methods must be used to demonstrate that the cardinality of the real numbers is greater than the cardinality of the natural numbers.

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The problem can be solved using the simplex method, and the solution can be verified using the graphical method. The optimal solution is X1 = 6, X2 = 0, X3 = 6, Z = 24.

The problem can be solved using the simplex method, and verified using the graphical method. Here are the steps:

Convert the problem to standard form by introducing slack variables:
Min Z = -2X1 - 4X2 - 3X3 + 0S1 + 0S2 + 0S3
St. X1 + 3X2 + 2X3 + S1 = 30
X1 + X2 + X3 + S2 = 24
3X1 + 5X2 + 3X3 + S3 = 60
Xi, Si >= 0

Set up the initial simplex tableau:
| 1 3 2 1 0 0 30 |
| 1 1 1 0 1 0 24 |
| 3 5 3 0 0 1 60 |
| 2 4 3 0 0 0 0 |

Identify the entering variable (most negative coefficient in the objective row): X2

Identify the leaving variable (smallest ratio of RHS to coefficient of entering variable): S1

Pivot around the intersection of the entering and leaving variables to create a new tableau:
| 0 2 1 1 -1 0 6 |
| 1 0 0 -1 2 0 18 |
| 0 0 0 5 -5 1 30 |
| 2 0 1 -2 4 0 36 |

Repeat steps 3-5 until there are no more negative coefficients in the objective row. The final tableau is:
| 0 0 0 7/5 -3/5 0 18 |
| 1 0 0 -1/5 2/5 0 6 |
| 0 0 1 1/5 -1/5 0 6 |
| 0 0 0 -2 4 0 24 |

The optimal solution is X1 = 6, X2 = 0, X3 = 6, Z = 24.

To verify the solution using the graphical method, plot the constraints on a graph and find the feasible region. The optimal solution will be at one of the corner points of the feasible region. By checking the values of the objective function at each corner point, we can verify that the optimal solution found using the simplex method is correct.

In conclusion, the problem can be solved using the simplex method, and the solution can be verified using the graphical method. The optimal solution is X1 = 6, X2 = 0, X3 = 6, Z = 24.

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The required value of side r is 50.58 inches in ΔRST.

A triangle is a geometric shape with three vertices, three angles, and three edges. It is a fundamental figure in geometry.

The sum of the angles of a triangle is always 180°

In the given triangle ΔRST,

The value of side s = 150 inches,

Also, the angles ∠ S=165° and ∠ T=10°.

The sum of the angles of a triangle is 180°

Use sum of angles property for ΔRST.

∠ R + ∠ S + ∠ T = 180

∠ R + 165 + 10 = 180

∠ R + 175 = 180

∠ R = 5

For any triangle having sides a, b, c and corresponding angles ∠A, ∠B and ∠C,

sine formula can be given as,

\(\frac{a}{sinA}= \frac{b}{sinB}= \frac{c}{sinC}\)

To find the value of side r, use sine formula

\(\frac{r}{sinR} = \frac{s}{sinS}\)

Substitute the values here,

\(\frac{r}{sin5} = \frac{150}{sin 165}\\\\\frac{r}{0.087} =\frac{150}{0.258} \\\\\\r = \frac{150 \times 0.87}{0.258}\)

r = 50.58

The value of side R in triangle Δ RST is 50.58 inches.

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Answer:

1166 is the answer to your suggestion

The statement "the central limit theorem is a statement about the distribution of the mean of a large enough sample group of answer choices" is True because theorem states that the distribution of the mean of a large enough sample group of random variables will tend to approach a normal distribution, regardless of the underlying distribution of the population.

The Central Limit Theorem states that the sampling distribution of the mean of a large enough sample group of any given population will be approximately normal, regardless of the underlying distribution of the population.

Therefore, it is a statement about the distribution of the mean of a large enough sample group of answer choices. It states that the mean of the answer choices will be closer to the true population mean as the sample size increases. This is because, as the sample size increases, the variability of the sample mean decreases and it will be closer to the true population mean.

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Answer:Son's age =2.5 years old

Step-by-step explanation:

Step 1

Let the  age of Kamla at marriage be represented as  x

Age after five  years = x+5

Given that today his  age is 1 1/4  times his age at marriage, Our equation to express his age  at marriage will be

x+ 5= (5/4)x

Multiplying 4 by both sides gives

4(x+5) = (5/4 x 4 )x

4x+20 = 5x

20=5x-4x

x= 20 years at Marriage

Therefore his present age = 20+5= 25

Step 2

Son' s age = 1/10 times his present age

Son's age = 1/10 x 25= 2.5 years old

Answer:

------------------

Let the amount deposited be x. It is assumed we are talking about simple interest.

After 4 years the interest amount is:

95% of this amount is Rs 4940:

Mrs Majhi deposited Rs 20000.

Mrs. Majhi deposited Rs 20000 in her bank account. This was calculated by first finding the total interest (before tax) and then using the formula for simple interest to determine the principal amount.

The question is based on the concepts of Simple Interest and taxation. We know that Mrs Majhi received Rs 4940 as net interest after 4 years and this amount is 95% of the total interest (since 5% was paid as income tax). The total interest can be calculated as (4940 / 95) * 100 = Rs 5200.

The rate of interest is given as 6.5% per annum. Thus, the money deposited (Principal) by her can be calculated using the formula for simple interest (I = PRT/100), where P is the Principal, R is the rate of interest, and T is the time. Re-arranged to calculate the Principal (P), it becomes P = I / (R*T) = 5200 / (6.5*4) = Rs 20000.

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Answer:

96 cm^2

Step-by-step explanation:

15 x 10 = 150

9 x 6 = 54

150 - 54 = 96

First, we will find 50% of 13,370

50/100 x13 370

= 6 685 lamps

Since the lam ship this year is 50% more than the lamp shipped last year, this implies that:

The lamp ship this year = 13 370 + 6 685 = 20 055 lamps

Answer:

Step-by-step explanation:

e

Answer:

the slope is -1 2/3

The y-intercept is -1.4

The equation in y = mx + b form is

y = –5/3x - 2 1/3

Step-by-step explanation:

The presence of casomorphins and the stimulation of dopamine release, contribute to the addictive nature of cheese, making it difficult to resist for many individuals.

Cheese possesses two properties that contribute to its addictive nature. Firstly, cheese contains casein, a protein found in milk, which breaks down during digestion to produce casomorphins. Casomorphins are opioid-like substances that can bind to the brain's opioid receptors, leading to feelings of relaxation and pleasure. This mechanism is similar to the effects of addictive drugs, reinforcing the craving for cheese.

Secondly, cheese is rich in fat, particularly saturated fats. These fats have been shown to stimulate the release of dopamine, a neurotransmitter associated with pleasure and reward, in the brain. The combination of the creamy texture and the release of dopamine creates a pleasurable sensory experience, further enhancing the appeal of cheese.

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Answer:

8 + 8 + 8 =

Step-by-step explanation:

Thirds are when your timing a number three times.

The eight 3s means that the number 3 is repeated eight times.

A set of symbols and guidelines used to represent and work with numbers is known as a number system. The decimal system, which bases itself on the value of 10, is the most widely used number system.

It employs the symbols 0 through 9 to represent numbers. But, there are a lot more number systems that have been created over time and are still employed in a variety of mathematics, computer science, and engineering sectors.

Eight 3s typically means the number 3 is repeated eight times. In mathematical notation, it is often represented as:

33333333

Therefore, the eight 3s means that the number 3 is repeated eight times.

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Answer:

By rounding

Step-by-step explanation:

48 % means 48 percent which 48 out of 100.

48% of 1220

= 48/100*1220

= 0.48*1220

=585.6 which is almost equal to 600

1) By rounding

Now if we round 48%  we get  50 % as 8 > 5 and 1 is added to 4 making it 5 in tens place leaving 0 in unit's place.

So 50% of 1220

0.50*1220= 610

Again rounding 610 would give 600 as 1 is less than 5 and we drop it out from the tens place leaving zero behind.

2) Complementary

IF we subtract 48% from 100% we get 52%.

So 52% of 1220 would be 634.4

IT again can be rounded in 2 ways Either 52% can be rounded to 50% and 634.4 can be rounded to 600.

Both would give 600

Answer:

( 10, 30)

Step-by-step explanation:

Multiply (8, 24) by 5/4

5/4 = 1.25

8 × 1.25 = 10

24 × 1.25 = 30

( 10, 30)

good luck, i hope this helps :)

Answer:

Is y3 supposed to be y^3?  Is so, the answer is 1.  

Step-by-step explanation:

If the equation is correct as written, 3y = 1, then y = 1/3

y^3 = 1

This can also be written as y^2*y = 1

1.  If y = -1, then y^2y would be (1)*(-1) = -1

2. If y = 1, then (1)^3 * (1) = 1  This works.

3.  If y = ±1, then -1 is a possible answer and -1 does not work as per #1

4.  3^3 = 27

Using the conversion to find, the tank holds 379 liters.

In the given question,

There are about 3.79 liters in 1 gallon. Kendra’s fish tank contains 100 gallons of salt water.

We have to find how many liters the tank holds.

Firstly we learn about gallon

The gallon is a unit of volume.

We measure liquid things in gallon.

As given that

1 gallon = 3.79 liters

We have to find the 100 gallons in liters.

To find the 100 gallons in liters we multiply 100 by 3.79 because 1 gallons equal to 3.79 liters.

So 1 gallon = 3.79 liters

100 gallon = 100 × 3.79 liters

100 gallon = 379 liters

Hence, the tank holds 379 liters.

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15% of the shoppers polled said they had spent at least $100 on clothing but weren't overall happy with their buy.

Given data;

300 first-time customers of a fashion store were surveyed. Put 300 in the Total/Total box.

60% of the customers in the survey had purchased clothes for less than $100. Put

60% * 300 = 180 in the Below-100/Total box.

40% of the customers in the survey reported they were overall satisfied with their purchase. Put

40% * 300 = 120 in the Sat./Total box.

25% of the customers that had purchased clothes for less than $100 reported they were overall satisfied with their purchase. Put

25% * 180 = 45 in the Below-100/Sat. box.

Now,

Percent of the customers surveyed purchased clothes for at least $100 and reported that they were not overall satisfied with their purchase;

∴ 45 is what percent of 300;

⇒ 45 = x/100 * 300

   x = 45/3

   x = 15

15% of the customers surveyed purchased clothes for at least $100 and reported that they were not overall satisfied with their purchase.

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My age is 2 years from the given condition.

Given that, if you square my age and subtract 28 times my age, the result is 60.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let x be my age.

Now, square my age is x²

28 times my age =28x

The square of my age and subtract 28 times my age, the result is 60.

x²-28x=60

⇒ x²-28x-60=0

⇒ x²+30-2x-60=0

⇒ x(x+30)-2(x+30)=0

⇒ (x+30)(x-2)=0

⇒ x=2

Hence, my age is 2 years from the given condition.

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Answer:

Step-by-step explanation:

Circumference pf base of cone = 24 inches

2πr = 24

\(r=\frac{24}{2\pi}\\\\r=\frac{12}{\pi}\)

Lateral surface area = πrl

\(=\pi *\frac{12}{\pi }*20\\\\=12*20\\\)

= 240 square inches

Answer:

240 square inches

Step-by-step explanation:

Por lo tanto, la longitud de la circunferencia con un diámetro de 32 cm sería aproximadamente 100.53 cm.

La fórmula para calcular la longitud de una circunferencia es:

Longitud = π * Diámetro

En este caso, si el diámetro es de 32 cm, podemos calcular la longitud de la siguiente manera:

Longitud = π * 32 cm

El valor de π (pi) es una constante que representa la relación entre la circunferencia de un círculo y su diámetro. Usualmente, se aproxima a 3.14159.

Por lo tanto, la longitud de la circunferencia sería:

Longitud ≈ 3.14159 * 32 cm

Calculando el resultado:

Longitud ≈ 100.53096 cm

Por lo tanto, la longitud de la circunferencia con un diámetro de 32 cm sería aproximadamente 100.53 cm.

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Answer:

x=3/7

Step-by-step explanation:

6-2x=3+5x

subtract 5x from both sides

6-2x-5x=3

subtract 6 from both sides

-2x-5x=3-6

add like terms

-7x=-3

divide both sides by -7

x=3/7

Answer:

x=3/7

Step-by-step explanation:

bring -2x to the other side and add to 5x to get 7x. bring 3 to the other side and subtract by 6 to get 3. now it's 3=7x. divide both sides by 7 and get x=3/7

The circumference is 160 feet for a length of 40 feet. The perimeter is 200 feet for a length of 50 feet. The circumference is 240 feet for a length of 60 feet.

A rectangular region with a 1200 square foot area will have a different perimeter depending on how long it is. The perimeter will be 160 feet if the area is 40 feet long. The length of 40 feet is multiplied by four to get a final measurement of 160 feet. In a similar manner, if the area is 50 feet long, the perimeter will be 200 feet.

The length of 50 feet is multiplied by four to get a final result of 200 feet. Finally, the perimeter will be 240 feet if the area is 60 feet long. The length of 60 feet is multiplied by four to get a final measurement of 240 feet. A rectangular region with an area of 1200 square feet will therefore have a different perimeter depending on its length, with a length of 40 feet resulting in a perimeter of 160 feet, a length of 50 feet resulting in a perimeter of 200 feet, and a length of 60 feet resulting in a perimeter of 240 feet.

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The correct answer is as follows: a) The data set that has the greatest sample standard deviation is Data set (ii).

b) Data set (ii) has the largest mean and mode, but the smallest median and the largest standard deviation.

(a) The data set that has the greatest sample standard deviation is Data set (ii).

The sample standard deviation is a measure of the amount of variation or dispersion of a set of data values.

In this case, Data set (ii) has more entries that are farther away from the mean, which results in a larger standard deviation.

(b) The data sets are the same in terms of containing the same numbers (11, 12, 13, 14, 15, 16, and 17).

However, they differ in terms of the order in which these numbers are arranged.

In addition, they differ in terms of the mean, median, mode, and standard deviation.

For example, Data set (ii) has the largest mean and mode, but the smallest median and the largest standard deviation.

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