What would be the fundraiser money kept if they sold 10 t-shirts?

The tautology among the options is "a. p ٨ ¬p". A tautology is a statement that is always true, regardless of the truth value of its components. In this case, the statement "p ٨ ¬p" combines a proposition p with its negation ¬p using the logical AND operator (٨). The result is always true because p and its negation ¬p cannot both be true at the same time.

The converse of a conditional statement p → q is formed by interchanging the positions of p and q. Among the options, the correct converse is "a. q → p". The original conditional statement "p → q" implies that if p is true, then q must also be true.

The converse statement "q → p" asserts that if q is true, then p must be true. Note that the truth of the original conditional does not guarantee the truth of its converse.

The statement "∀n∃m(nm = 1)" asserts that for every non-zero integer n, there exists an integer m such that their product is equal to 1. In the given domain of all non-zero integers, this statement is false.

It is false because for certain values of n (e.g., n = 2, n = -2), there is no integer m that can be multiplied by n to yield 1. Therefore, the correct answer is "b. False".

The rule of inference used in the given argument is "c. Modus Ponens". Modus Ponens is a valid rule of inference that allows us to conclude a statement based on a conditional statement and its antecedent.

In the argument, the premises state "If it is snowing, then I will study discrete math" (conditional statement) and "It is snowing" (antecedent). Applying Modus Ponens, we can deduce the conclusion "I will study discrete math" (consequent).

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Answer:

You would get 5.

Step-by-step explanation:

According to the order of operations ( GEMDAS or PEMDAS ), in a problem the first step is grouping.

20 - 5(3) = 20 - 15, because 5 * 3 is 15 and parenthesis is  a sign of multiplication. Then you would get:

20 - 15 = 5.

Here we would not inverse the subtraction sign, because there is an operation before the grouping

Would reverse operation:

20 - ( 5 + 3 )

Would NOT reverse operation:

20 - 5(2) Operation before the subtraction

Answer:

56

Step-by-step explanation:

2a^2b+5ab-4

substitute a & b:

2(-4)^2(5)+5(-4)(5)-4

2(16)(5)+5(-4)(5)-4

160-100-4=56

Answer:

3.3333 hours

Step-by-step explanation:

From the attached table :

Downhill skiing for 1/6 hours ; results in 100 calories burn

To burn 1000 calories :

Skiing hours required :

(1000 / 100) * (1/6)

10 * 1/6 = 10 /6 hours

Planned skiing hours = 5

Number of skiing hours after lunch will be :

5 hours - 10/6 hours

5 hours - 1.6666 hours

= 3.3333 hours

Answer:

use long divison  ike this

      16

  -------

8 | 132

    8

  -----

    52

    48

  -----

     4

Step-by-step explanation:

Answer:

Step-by-step explanation:

                                         132/8 = 16 with 4 leftover

                                             32 divided by 8 is 4, 96 divided by 8 is 12, the                                                                  

                                                  extra 4 left over

The percentage decrease is 14.52% if, one year, the population of a city was 73,000. Several years later, it was 85,410.

It is defined as the ratio of two numbers expressed in the fraction of 100 parts. It is the measure to compare two data, the % sign is used to express the percentage.

The initial population = 85410

The final population = 73000

The decrease = (85410 - 73000)/85410 = 0.1452

The percentage decrease = 0.1452×100 = 14.52%

Thus, the percentage decrease is 14.52% if one year, the population of a city was 73,000. Several years later, it was 85,410.

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Answer:

6°

Step-by-step explanation:

It started at -2°f and increased b 8° so 2 of those degrees get you back to 0°f and the remains is 6 so 6°

The correct options are

They can work to decrease their marginal cost.

They can raise prices to increase marginal revenue.

They can keep marginal costs below marginal revenues.

What is the equivalent expression?

Equivalent expressions are expressions that perform the same function despite their appearance. If two algebraic expressions are equivalent, they have the same value when we use the same variable value.

Producers can make the most profit by:

Working to decrease their marginal cost.

Keeping marginal costs below marginal revenues.

Raising prices to increase marginal revenue, as long as it does not decrease demand for their product.

Therefore, the correct options are:

They can work to decrease their marginal cost.

They can raise prices to increase marginal revenue.

They can keep marginal costs below marginal revenues.

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ANSWER:

27.9°

STEP-BY-STEP EXPLANATION:

We can calculate the angle ABC, by means of the law of sine, which is the following:

We apply in this case and we have the following equation:

We replace and calculate for ABC:

The angle ABC is 27.9°

Answer:

6 5/6 miles

Step-by-step explanation:

4 1/2 + 2 1/3

4+2=6

1/2+1/3

3/6+2/6=5/6

6 5/6 miles

Answer:

= -3

Step-by-step explanation:

Answer:

x = -3

Step-by-step explanation:

Answer:

To put this equation in standard form, you need to complete the square for both the x's and the y's.

First, complete the square for the x's by adding and subtracting (16/2)^2 = 16^2/2^2 = 32/2 = 16.

4x² - 16x + 16 - 16 - 5y² - 30y - 9 = 0

4x² - 16x + 16 - 5y² - 30y - 9 = 0

Now, complete the square for the y's by adding and subtracting (30/2)^2 = 30^2/2^2 = 900/2 = 450.

4x² - 16x + 16 - 5y² - 30y + 450 - 450 - 9 = 0

4x² - 16x + 16 - 5(y² - 15y + 225) - 9 = 0

Now, you can simplify the expression inside the parentheses by completing the square for y.

4x² - 16x + 16 - 5(y - 15)^2 + 5*225 - 9 = 0

Now, divide everything by -5 to get the equation in standard form:

-4/5x² + 16/5x - 16/5 - (y - 15)^2 = 0

The standard form of the equation is:

(-4/5)x² + (16/5)x - 16/5 - (y - 15)^2 = 0

Answer

Explanation:

Volume of a cylinder is expressed as;

If the radius is doubled and the height is unchanged, then;

r2 = 2r

h2 = h

Get the volume of the new cylinder

Answer:

This is a true statement

Step-by-step explanation:

If you were to refer to a number line, The more you go to the -10, -11, -12 you are getting smaller, the more you go to 0, 1, 2 then you are getting bigger.

Key: The more you go left on a number line, you are getting smaller and probably ending on negatives

The more you go right on a number line you are getting bigger and probably ending on positives.

-1 is most likely going right to the number line meaning it is big

-11 is going to the left on the number line so it is getting smaller

Therefore, -11 is less than -1

A) H0: μ = 8mg, Ha: μ ≠ 8mg.

B) \(t = (x̄ - μ) / (s / sqrt(n)) = (10.3 - 8) / (2 / sqrt(25)) = 5.5\).

C) Degrees of freedom = n - 1 = 24, two-tailed t-test, α = 0.01, critical values are  ±2.492. p-value < 0.01.

D) We reject the null hypothesis and conclude that there is strong evidence that the mean amount of active ingredient in all dosages produced is different from 8 mg. The sample mean is significantly higher than 8 mg, indicating that the production process needs improvement.

(A) The null hypothesis is that the population mean of the active ingredient is equal to 8 mg, while the alternative hypothesis is that it is different from 8 mg. In symbols, H0: μ = 8 vs. Ha: μ ≠ 8.

(B) We apply the t-test formula to determine the value for the test statistic:

\(t = (xbar - μ) / (s / sqrt(n))\)

where Î14 is the estimated population mean, n is the number of samples size, x bar represents the sample mean, and s is the standard deviation of the sample. Plugging in the values from the problem, we get:

\(t = (10.3 - 8) / (2 / sqrt(25)) = 3.25\)

(C) To determine the critical value or the p-value, we look up the t-distribution with 24 degrees of freedom ( df = n - 1) and a two-tailed significance level of 0.01. The critical values are  ±2.492, while the p-value is less than 0.01.

(D) Based on the results, we reject the null hypothesis and conclude that the mean amount of active ingredient in all dosages produced is different from 8 mg at the 1% significance level. In practical terms, this means that the drug production process needs to be investigated and improved to ensure that the correct amount of active ingredient is consistently delivered in each dosage.

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Answer:

4.4 pounds

Step-by-step explanation:

$5.28/$1.2 which is 4.4 pounds

Hope this helps plz mark brainliest if correct :D

Answer:

He bought 4.4 Pounds

Step-by-step explanation:

5.28/1.20= 4.4

Answer:

  a = h/5

Step-by-step explanation:

If you had the equation ...

  10 = 5a

and you wanted to find the value of the variable, you would divide by its coefficient:

  10/5 = (5a)/5

  2 = a

__

Here, we have replaced '10' with 'h'. The same (single) step applies: divide by the coefficient of 'a'.

  h = 5a

  h/5 = a

To put this in "a = " form, swap the sides of the equal sign:

  a = h/5

_____

Literal equations just use different symbols (h instead of 10, here). The operations are the same.

this arithmetic sequence will be 10, 14, and 18.

What is arithmetic sequence?

There are two approaches to defining an arithmetic sequence. It is a "series where the differences between every two succeeding terms are identical" (or) In an arithmetic sequence, "each term is obtained by adding a fixed number (positive or negative or zero) to its preceding term." The series where the common difference between any two next terms stays constant is known as the arithmetic sequence. Let's go through what a sequence is once again. A collection of numbers that follow a pattern is referred to as a sequence.

The first term of an arithmetic sequence is 6

common difference 2/3.

a2 = a+d = 6+4 =10

a3= a+8 =14

a4=a+12 =18

Hence this arithmetic sequence will be 10, 14, and 18.

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(a) The probability that a randomly chosen nucleotide from the first region is the same as a randomly chosen nucleotide from the second region is 1/4.

(B) The chance that the triple chosen from the first region will be identical to the triple chosen from the second region is 1/4096.

(a) If we assume that there are four possible nucleotides (A, C, G, T) and that each nucleotide is equally likely to occur in each region, then the probability that a randomly chosen nucleotide from the first region is the same as a randomly chosen nucleotide from the second region is 1/4, since there is a 1 in 4 chance that the nucleotide chosen from the first region will be the same as the nucleotide chosen from the second region.

(b) If we again assume that there are four possible nucleotides (A, C, G, T) and that each nucleotide is equally likely to occur in each region, then the probability of choosing a particular three-nucleotide sequence is (1/4)³ = 1/64.

The probability of choosing the same three-nucleotide sequence from both regions is the product of the probabilities of choosing that sequence from each region, or (1/64) x (1/64) = 1/4096. Therefore, the chance that the triple chosen from the first region will be identical to the triple chosen from the second region is 1/4096.

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The equation that relates M to R is M = 13 - R

From the question, we have the following parameters:

The total number of new magazines is the sum of the number of magazines read and the number of magazines left

This is represented as

Total number of new magazines = Number of magazines read + Number of magazines left

Substitute the known values in the above equation

13 = R +M

Make M the subject

M = 13 - R

Hence, the equation is M = 13 - R

See attachment for the graph

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Answer:

4(9a-4)

Step-by-step explanation:

36a - 16

We can factor 4 from each expression.

4*9a - 4*4

4(9a-4)

Step-by-step explanation:

From the image, let Angle 1 be x, and angle 2 be 16°

\({ \tt{x + 16 = 180}} \\ { \tt{x = 164 \degree}}\)

125 in Greek alphabetic notation is "ΡΚΕ" (Rho Kappa Epsilon), 62 is "ΞΒ" (Xi Beta), 4821 is "ΔΩΑ" (Delta Omega Alpha), and 23,855 is "ΚΣΗΕ" (Kappa Sigma Epsilon).

In Greek alphabetic notation, each Greek letter corresponds to a specific numerical value. The letters are used as symbols to represent numbers. The Greek alphabet consists of 24 letters, and each letter has a corresponding numerical value assigned to it.

To represent the given numbers in Greek alphabetic notation, we use the Greek letters that correspond to the respective numerical values. For example, "Ρ" (Rho) corresponds to 100, "Κ" (Kappa) corresponds to 20, and "Ε" (Epsilon) corresponds to 5. Hence, 125 is represented as "ΡΚΕ" (Rho Kappa Epsilon).

Similarly, for the number 62, "Ξ" (Xi) corresponds to 60, and "Β" (Beta) corresponds to 2. Therefore, 62 is represented as "ΞΒ" (Xi Beta).

For 4821, "Δ" (Delta) corresponds to 4, "Ω" (Omega) corresponds to 800, and "Α" (Alpha) corresponds to 1. Hence, 4821 is represented as "ΔΩΑ" (Delta Omega Alpha).

Lastly, for 23,855, "Κ" (Kappa) corresponds to 20, "Σ" (Sigma) corresponds to 200, "Η" (Eta) corresponds to 8, and "Ε" (Epsilon) corresponds to 5. Thus, 23,855 is represented as "ΚΣΗΕ" (Kappa Sigma Epsilon).

In Greek alphabetic notation, each letter represents a specific place value, and by combining the letters, we can represent numbers in a unique way.

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The Greek alphabetic notation system can only represent numbers up to 999. Therefore, the numbers 125 and 62 can be represented as ΡΚΕ and ΞΒ in Greek numerals respectively, but 4821 and 23,855 exceed the system's limitations.

To represent the numbers 125, 62, 4821, and 23,855 in the Greek alphabetic notation, we need to understand that the Greek numeric system uses alphabet letters to denote numbers. However, it can only accurately represent numbers up to 999. This is due to the restrictions of the Greek alphabet, which contains 24 letters, the highest of which (Omega) represents 800.

Therefore, the numbers 125 and 62 can be represented as ΡΚΕ (100+20+5) and ΞΒ (60+2), respectively. But for the numbers 4821 and 23,855, it becomes a challenge as these numbers exceed the capabilities of the traditional Greek number system.

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Answer:

Vertex: (0,-1)

AoS: x=0

y-intercept: -1

x-intercepts: -1 & 1

Step-by-step explanation:

Don't know the domain or range

Answer: they are both real numbers and they are both rational

Answer:

$72.60

Step-by-step explanation:

Answer:

70 percent

Step-by-step explanation:

the dimensions of the lot is 100 yards by 400 yards. In this problem, a parking lot has a rectangular area of 40,000 square yards, and the length is 200 yards more than twice the width.

Determining the dimensions of a rectangular area, such as a parking lot, can be a useful task for many purposes, such as planning and designing a new lot or estimating the amount of space available for parking.

Let's call the width of the parking lot "w". Then, the length of the parking lot can be represented as 2w + 200.

The total area of the parking lot is 40,000 square yards, so we can set up an equation to solve for w: w * (2w + 200) = 40,000.

Solving for w, we get w = 100. This means that the width of the parking lot is 100 yards and the length is 2 * 100 + 200 = 400 yards.

The dimensions of the parking lot are 100 yards by 400 yards.

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