Find n(A x B x C) when A = {a,b,c} B = {p,q} C = {x,y}

Answer:

  54880/27 = 2032 16/27

Step-by-step explanation:

You want the maximum value of 5x²y, subject to the constraints {x+y=14, x≥0, y≥0}.

Using the constraint to write an equation for y in terms of x, we have ...

  5x²(14 -x) = -5x³ +70x²

The value will be maximized at a point where the derivative is zero:

  -15x² +140x = 0 . . . . . derivative

  -5x(3x -28) = 0 . . . . . factored

  x = 0  or  28/3 . . . . . the left solution is a minimum

The value of 5x²y is maximized at x = 28/3. That maximum value is ...

  5(28/3)²(42-28)/3 = 54880/27

The maximum value of 5x²y is 54880/27.

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The maximum value of 5x²y, given that x + y = 14, occurs when x = 10 and y = 4, resulting in a maximum value of 2000.

To find the maximum value of 5x²y, we can use the method of optimization by substitution. Since we know that x + y = 14, we can rearrange this equation to express y in terms of x, giving us y = 14 - x. Substituting this into the expression for 5x²y, we get 5x²(14 - x). Expanding and simplifying this expression yields 70x² - 5x³.

To find the maximum value of this expression, we can take its derivative with respect to x and set it equal to zero. Differentiating 70x² - 5x³ gives us 140x - 15x². Setting this equal to zero, we can factor out x to get x(140 - 15x) = 0. This equation has two solutions: x = 0 and x = 140/15 = 28/3.

Since we are looking for nonnegative values, x = 0 is not feasible. Therefore, we consider x = 28/3. Plugging this value back into the expression 5x²y, we can solve for y, giving us y = 14 - (28/3) = 2/3. Thus, the maximum value of 5x²y occurs when x = 28/3 and y = 2/3, resulting in a value of 2000.

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Answer:

Step-by-step explanatain:

8000000

Answer:

8,000

Step-by-step explanation:

4x2=8

add 3 0s

Hope this helps plz give brainliest

To compare the posttreatment t-test scores of two groups of subjects who received different treatments, the appropriate analytic statistic would be a two-sample t-test. An independent samples t-test would be appropriate for analyzing the data.

This test is used to determine whether there is a statistically significant difference between the means of two independent groups. The two-sample t-test assumes that the samples are independent, normally distributed, and have equal variances.

If the probability is lower than a predetermined significance level (usually 0.05), then we reject the null hypothesis that the two group means are equal and conclude that there is a statistically significant difference between the treatments.

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I believe that its easier to understand the multiplication of a radical than that of a polynomial.

In mathematics, a radical is the opposite of an exponent that is represented with a symbol '√' also known as root.

A polynomial is an expression which is composed of variables, constants and exponents, that are combined using the mathematical operations such as addition, subtraction, multiplication and division.

When multiplying radicals with the same index, multiply under the radical, and then multiply in front of the radical. An example is:

= 3✓2 × 4✓2

= 12✓4

= 12 × 2

= 24

The multiplication of a radical is easier.

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To determine if there is a difference in the mean empathy score between men and women, we can perform a hypothesis test using the data provided. We will use the independent samples t-test since we have two independent groups (males and females) and want to compare their means.

The null hypothesis (H0) states that there is no difference in the mean empathy scores between men and women, while the alternative hypothesis (Ha) states that there is a difference.

Using the given data, we calculate the mean empathy scores for each group and compute the sample means, standard deviations, and sample sizes. With these values, we can use the T1-84 Plus calculator to perform the t-test and obtain the p-value.

If the p-value is less than the significance level (α = 0.05), we reject the null hypothesis and conclude that there is a significant difference in mean empathy scores between men and women. On the other hand, if the p-value is greater than 0.05, we fail to reject the null hypothesis and conclude that there is not enough evidence to support a difference.

By conducting an independent samples t-test and using the p-value method with the given data, we can determine if there is a significant difference in mean empathy scores between men and women.

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107/378ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

The system defined by the impulse response h(n) = 28(n+3) + 28n + 28(n-3) can be represented as h(n) = 28δ(n+3) + 28δ(n) + 28δ(n-3), where δ(n) denotes the unit impulse function.

In terms of causality, we can determine whether the system is causal by examining the impulse response. If the impulse response h(n) is non-zero only for n ≥ 0, then the system is causal. In this case, since the impulse response h(n) is non-zero for n = -3, 0, and 3, the system is not causal.

To determine the stability of the system, we need to examine the summation of the absolute values of the impulse response. If the summation is finite, the system is stable. In this case, we can calculate the summation as ∑|h(n)| = 28 + 28 + 28 = 84, which is finite. Therefore, the system is stable.

However, since the impulse response is given in the time domain and not in a closed-form expression, it is not possible to directly determine the frequency response without further manipulation or additional information.

Given the absence of specific frequency domain information or a closed-form expression for the frequency response, it is not possible to accurately represent the module and phase of the system H(e^ω) without further calculations or additional details about the system.

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Answer:

  f(x) = x² +4x -12

Step-by-step explanation:

You want the standard form equation of the quadratic represented by the values in the table.

The table shows the minimum is -16 at x = -2. That is, the vertex is at (-2, -16).

The table also shows the function value increases by 1 to -15 when x is ±1 unit from its vertex value. That increase of 1 tells you the leading coefficient is 1.

The vertex form of a quadratic equation is ...

  f(x) = a(x -h)² +k

where 'a' is the leading coefficient, and (h, k) is the vertex.

For this function, we have a=1, (h, k) = (-2, -16), so the vertex form of the equation is ...

  f(x) = (x +2)² -16

Expanding the vertex form equation, we get ...

  f(x) = (x² +4x +4) -16

  f(x) = x² +4x -12

After multiplying 0, 3 times and following the laws of exponents, the value yielded is 0.

What is the law of exponents?

When multiplying a number by itself constantly, exponents are employed to illustrate this. For the case, 73 can be used to represent 7 x 7 x 7. The exponent, in this case, is" 3," denoting how numerous times the number 7 has been multiplied. Then, the number that's actually being multiplied is 7, which serves as the base.

Given that,

\(0^3\) , Expanding it following laws of exponents,

We get,

0*0*0=3

Therefore, \(0^3=0\).

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Answer:

Yes ; Yes ; Yes it makes sense

Step-by-step explanation:

1.) Lydia used subtraction operator to define and establish a relationship between her best and worst game times ; Hence we could conclude that Lydia is correct as this gives the range between both times.

From the numbers given in the question as their is no graph attached :

4 1/4 - 1 1/2

17/4 - 3/2

(17 - 6) / 4

11 /4

= 2 3/4

The subtracted numbers represent the duration of each of the three times game was played ; Hence the numbers represents the game times.

Yes ; Her conclusion makes sense ; as she was able to deduce the range between her best and worst game time

The probability that a randomly selected observation exceeds 43 is 0.7.

Since x is a uniform random variable over the interval [40, 50], we know that the probability density function is constant over this interval. That means that any sub-interval of [40, 50] has the same probability of being selected.

To find the probability that a randomly selected observation exceeds 43, we need to find the area under the probability density function from 43 to 50. This area represents the probability that x is greater than 43.

To do this, we can calculate the total area under the probability density function from 40 to 50, and then subtract the area from 40 to 43. The total area is simply the length of the interval, which is 50 - 40 = 10. Since the probability density function is constant over the interval, its value is 1/10 for any sub-interval.

So, the area from 40 to 43 is (43 - 40) * (1/10) = 3/10, and the area from 43 to 50 is (50 - 43) * (1/10) = 7/10. Therefore, the probability that a randomly selected observation exceeds 43 is 7/10, or 0.7.

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(a) The power series solution for the Associated Laguerre Equation must terminate because the equation satisfies the necessary termination condition for a polynomial solution.

(b) The general expression for the power series coefficients in terms of the first coefficient can be obtained by using recurrence relations derived from the differential equation.

(a) The power series solution for the Associated Laguerre Equation, when expanded as a polynomial, must terminate because the differential equation is a second-order linear homogeneous differential equation with polynomial coefficients. Such equations have polynomial solutions that terminate after a finite number of terms.

(b) To find the general expression for the power series coefficients in terms of the first coefficient, one can use recurrence relations derived from the differential equation. These recurrence relations relate each coefficient to the preceding coefficients and the first coefficient. By solving these recurrence relations, one can express the coefficients in terms of the first coefficient and obtain a general expression.

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Answer:

Step-by-step explanation:

Formula

Area = B * h

Givens

Base = 2.5

height = 5.25

Solution

You choose the value for the base and height from the fact that the height touches the base (which has been extended) at right angles.

Area =  2.5 * 5.25

Area = 13.125

Answer: Area = 13.125 or 13 1/8

Answer:

Step-by-step explanation:

CD = ED --- (secant property)

so, ==>>

13x - 16 = 4x + 11

13x - 4x = 11 + 16

9x = 27

x = 27÷9

x = 3

side ED = 4x + 11 = 4×3 + 11

side ED = 23

side FE = 12

ΔFED = 90° ...... (tangent secant property)

so.........

FE² + ED² = FD² ......... ( by pythagoras theorm)

12² + 23² = FD²

144 + 529 = FD²

673 = FD²

√673 = FD

26 = FD

Answer:

26

Step-by-step explanation:

Answer:

130 i think

Step-by-step explanation:

2(58+7)

58+7+65x2=130

Answer:

Below

Step-by-step explanation:

The plane's distance is the hypotenuse of a right triangle with legs of

(50 -20)mi = 30 miles     and     30500 - 18000 = 12500 ft

                             for consistent units  12500ft/5280ft/mile = 2.36742 miles

Now just use Pythagorean theorem

Hypotenuse^2 = leg1^2 + leg2^2

               h^2    = 30^2 + 2.36742^2

                   h = ~ miles 30.093 miles  ( note that the vertical descent distance does not matter much)

    (this is 158 892 feet)

Answer:

(x-a-5)(x+a+5)

Step-by-step explanation:

x^2-(a^2+10a+25)

x^2-(a+5)^2

(x-(a+5))×(x+(a+5)

(x-a-5)×(x+a+5)

Answer: b

Step-by-step explanation: i think

Answer:

8 >_ 3 +x

Step-by-step explanation:

X = 5 and any numbers below 5

Answer:

8 ( > or equal to) n + 3

Step-by-step explanation:

I hope this helps :)

Allow the adhesive to cure for a few minutes.7. If the patch is still visible, dye it or cover it with fabric paint to conceal it.

The best method of repair for a fabric-covered surface which has an L-shaped tear, each leg of which is approximately 14 inches long, is to use a patch, as the tear is too long to repair using a simple needle and thread.What is a patch?A patch is a piece of fabric or other material that is used to repair a hole or other damage in a larger piece of fabric. When it comes to covering holes or tears, patches can be quite useful.Patching processIt's time to patch the fabric once you've gathered all of the supplies. It's a fairly straightforward operation. Here's how to do it.1. Take a scrap piece of the same material as your torn fabric, making sure it's a few inches larger than the tear.2. Trim the patch down to the size of the tear, allowing for a margin of error of about half an inch on all sides.3. Apply adhesive to one side of the patch, making sure it's evenly distributed and covers the whole area.4. Put the patch on the wrong side of the torn fabric, ensuring that the adhesive side is facing the fabric.5. Smooth out the patch, working from the center outwards, to eliminate any air bubbles and ensure that the edges are fully adhered.6. Allow the adhesive to cure for a few minutes.7. If the patch is still visible, dye it or cover it with fabric paint to conceal it.

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The expected number of pets in this locality is 1.66. Option (d) is the correct answer.

The expected value of a discrete random variable can be computed by summing the product of the value of the random variable with its probability.

That is, Expected value = E(X) = x₁p₁ + x₂p₂ + x₃p₃ + ... + xₙpₙ

where p is the probability of the corresponding value x.

For the given probability distribution of the number of pets x per household, we can compute the expected number of pets in the locality as follows:

E(X) = 0 × ? + 1 × 0.28 + 2 × 0.40 + 3 × 0.10 + 4 × 0.07 = 0 + 0.28 + 0.80 + 0.30 + 0.28 = 1.66

Therefore, the expected number of pets in this locality is 1.66. Option (d) is the correct answer.

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Answer:

Solution:

2 3/4 as an improper fraction is 11/4.

2 2/3 as an improper fraction is 8/3.

11/4 ÷ 8/3

11/4 ÷ 3/8 (reciprocal method)

11/4 × 3/8 (change the operation to multiplication)

11/4 × 3/8 = 33/32 (multiply)

33/32 ⇒ 1 1/32 (simplify)

1 4/5 as an improper fraction is 9/5.

9/5 ⇒ 1.8

Answer:

D

Step-by-step explanation:

The net operating working capital for this company is $230,000.

Net operating working capital is calculated as the difference between operating current assets and operating current liabilities. In this scenario, the company's operating current assets are $350,000, and the operating current liabilities are $120,000.

To calculate the net operating working capital, we subtract the operating current liabilities from the operating current assets:

Net Operating Working Capital = Operating Current Assets - Operating Current Liabilities

                            = $350,000 - $120,000

                            = $230,000

Therefore, the net operating working capital for this company is $230,000. The correct answer is (d) $230,000.

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\(m1 + 45 = 146\)

Subtract both sides 45

\(m1 + 45 - 45 = 146 - 45\)

\(m1 = 101\)

Answer:

The answer to this question can be defined as follows:

Step-by-step explanation:

Answer:

For the first one it is 135 (The second option)

For the second one it is 128 ( The first option)

Step-by-step explanation:

this is correct on edg!

Answer:

the answer is A

Step-by-step explanation:

put it in the calculator

Answer:

\(\frac{1}{8}\)

Step-by-step explanation:

When you have a negative exponent like \((\frac{a}{b})^{-x}\) you simply take the reciprocal and then the denominator takes the exponent. So it becomes \(\frac{b}{a^{x}}\).

So now you simply plug -2 as x. This gives you \(2(4)^{-2}\). and 4 is essentially \(\frac{4}{1}\). So it becomes \(\frac{1}{4^2}\) which is \(\frac{1}{16}\). So multiplying it by 2 you get \(\frac{2}{16}\). Which can be written as \(\frac{2}{8 * 2}\) so the 2's cancel out and the fraction becomes \(\frac{1}{8}\)

In order to do this question, you will need to divide the total number of people coming by the maximum amount of people a table can hold. You will get a remainder so what you need to do is to add one extra table from your answer.

Solution

= 74/9

= 8 R2

You will need 8 tables plus one more to accommodate the extra two people so you'll need a total of 9 tables.

Therefore, the probability that more than 35% of the 30 Americans in the sample concur that climate change is a serious threat to humanity is 0.5 or 50%.

The main goal of the mathematical branch known as statistical inference is to estimate the likelihood that a statement is accurate or that a particular event will take place. Any number among 0 and 1, where 1 typically denotes confidence and 0 typically denotes possibility, can be used to symbolise chance.A probability diagram illustrates the likelihood that a particular occurrence will take place.

Here,

The problem specifies a sample size of n = 30 and a success chance of p = 0.35.

We want to determine the likelihood that the percentage of the 30 Americans sampled who believe that climate change poses an immediate danger to humanity exceeds 35%.

P(p-hat > 0.35)

where p-hat is really the percentage of sample respondents who concur that climate change poses a direct danger to humanity.

The sample proportion P-hat has a standard variation of and a mean of 0.35, both of which are within the normal distribution.

√(p*(1-p)/n) = √(0.35*(1-0.35)/30) = 0.089 is the formula for standard deviation.

As a result, the sample percentage can be standardised as follows:

Standard deviation = (p-hat -0.35) / 0.089 and z = (p-hat - p)

We can also determine the chance as follows:

P(z > (0.35 - 0.35) / 0.089) = P(z > 0) = P(p-hat > 0.35)

Therefore, the likelihood that more than 35% of the 30 Americans in the sample concur that climate change is a serious threat to humanity is 0.5 or 50%.

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