find the domain of the function f(x, y) = ln(3 − x 2 − 4y 2 )

Answer: 60

Step-by-step explanation: 30+ 50 + 60 + 70 + 90 = 300

Divide by 5

Q does not have any subgroups that are isomorphic to z.

Assume, ⟨a/b⟩∈ ℚ,

Note that under this assumption a/2b ∈ ℚ, which is a rational number, would then be an integral multiple of (a/b), which it clearly is not; i.e. 1/2 × (a/b)

So the assumption that ℚ is generated by (a/b) cannot be true. Since (a/b) is arbitrary, this shows that ℚ is not generated by any element of ℚ, i.e., ℚ is not cyclic.

Since the additive group ℤ =⟨1⟩ is generated by a finite element and is thus cyclic, and ℚ is neither generated by a finite element nor cyclic, the two subgroups are clearly not isomorphic.

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Answer:

159

Step-by-step explanation:

180 - 21

Answer:

It's in Spanish I didn't know it and I used the application

The maximum value attained by the sum of the expression is 169 when N is the two-digit number 98.

Let N be a two-digit number with digits a and b. Then, the sum of N and the product of its digits is N + ab, and the sum of N's digits is a + b. Therefore, the expression we want to maximize is:

Substituting N = 10a + b, we get:

To maximize this expression, we want to maximize a and b. Since a and b are digits, they must be between 1 and 9. If we set a = 9 and b = 8, we get:

Therefore, the maximum value attained by the expression is 169 when N is the two-digit number 98.

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Answer:

B is the correct choice:

(10 x 10 x 30) + (10 x 10 x 12)

Step-by-step explanation:

Answer:

2^(3/7)

Step-by-step explanation:

For these types of questions, what is inside the root is the numerator, and what is on top is the denominator.

3 is in the root, so it is the numerator

7 is outside the root, so it is the denominator

Therefore, The answer is 2^(3/7)

Answer: k = √27-i

Step-by-step explanation:

Answer:

x=60

Step-by-step explanation:

my dad is a math teacher so I am good at math. I also used a calculator

Answer: True

Step-by-step explanation:

In a Poisson distribution, the mean and variance are both equal to λ, where λ is the parameter that represents the average number of occurrences in a fixed interval of time or space. The probability mass function of a Poisson distribution is given by:

P(X = k) = (e^(-λ) * λ^k) / k!

where X is the random variable that represents the number of occurrences, k is a non-negative integer, e is the base of the natural logarithm, and k! is the factorial of k.

The mean of a Poisson distribution is given by:

E(X) = λ

and the variance is given by:

Var(X) = λ

Since the mean and variance are equal, it follows that:

E(X) = Var(X) = λ

Answer:

1. 225 = 3x3x5x5

315 = 3x3x5x7

LCM = 3x3x5x5x7 = 1575

HCF = 3x3x5 = 45

2. 120 = 2x2x2x3x5

180 = 2x2x3x3x5

450 = 2x3x3x5x5

LCM = 2x2x2x3x3x5x5= 1800

HCF = 2x3x5 = 30

The condition for the first dark fringe through a single slit of width w is given by w sin(θ) = λ/2.

The condition for destructive interference at the first dark fringe can be found using the path difference between the two waves.

For the first dark fringe, the path difference between the two waves that pass through the edges of the slit must be half a wavelength:

Δx = λ/2

where Δx is the path difference and λ is the wavelength of the light.

The path difference Δx can be related to the width of the slit w and the angle θ that the diffracted wave makes with the central axis of the slit by:

Δx = w sin(θ)

Therefore, the condition for the first dark fringe can be expressed as:

w sin(θ) = λ/2

The condition for the first dark fringe through a single slit of width w is given by w sin(θ) = λ/2.

This means that if the width of the slit and the wavelength of the light are known, the angle θ at which the first dark fringe occurs can be calculated.

This condition arises due to the interference of the diffracted waves from the edges of the slit. When the path difference between these waves is equal to half a wavelength, the waves interfere destructively and produce a dark fringe.

The first dark fringe is observed at the angle θ for which the path difference between the waves passing through the edges of the slit is equal to λ/2.

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Answer:

<32 - </3 5810-24

Step-by-step explanation:

32

The number of each type of coins are as follows:

q = 15 quarters.

d = 30 dimes.

n = 25 nickels.

In order to solve this word problem, we would assign a variables to the unknown numbers and then translate the word problem into algebraic equation as follows:

Let d represent the number of dimes.

Let q represent number of quarters.

Let n represent number of nickels.

Let T represent total number of coins.

Note: 1 quarter is equal to 0.25 dollar, 1 nickel is equal to 0.5 dollar, and 1 dime is equal to 0.1 dollar.

Translating the word problem into an algebraic equation, we have;

Dimes; d = 2q     .....equation 1.

Nickels; (70 - (q + 2q)) = (70 - 3q)     .....equation 2.

Total coins; T = n + d + q

0.5(70 - 3q) + 2q(0.1) + q(0.25) = 8.00

Multiplying all through by 100, we have:

5(70 - 3q) + 2q(10) + q(25) = 800

350 - 15q + 20q + 25q = 800

350 + 30q = 800

30q = 800 - 350

30q = 450

q = 450/30

q = 15 quarters.

For the number of dimes, we have:

Dimes, d = 2q

Dimes, d = 2(15)

Dimes, d = 30 dimes.

For the number of nickels, we have:

Nickels, n = (70 - 3q)

Nickels, n = (70 - 3(15))

Nickels, n = (70 - 45)

Nickels, n = 25 nickels.

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The factor that does NOT control the stability of a slope is the angle of repose for intact bedrock. The angle of repose refers to the steepest angle at which a pile of loose material remains stable without sliding. It is mainly applicable to loose materials like soil and granular substances, not intact bedrock.

Bedrock stability depends on factors such as its strength, fracturing, and geological properties, rather than the angle of repose. Factors that control the stability of a slope include whether the slope is rock or soil. Rock slopes tend to be more stable than soil slopes due to the cohesive nature of intact rock.

The amount of water in the soil also affects slope stability, as excessive water can increase pore pressure and reduce the shear strength of the soil, leading to slope failure. Additionally, the orientation of fractures, cleavage, and bedding in the rock can influence slope stability by creating planes of weakness or strength.

To summarize, while the angle of repose is a significant factor in slope stability, it is not applicable to intact bedrock. The stability of a slope is influenced by the type of material (rock or soil), the presence of water, and the orientation of fractures and bedding.

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Answer:

the length of the diagonal is 10cm

Step-by-step explanation:

C²=8²+6²

C²= 64+36

C²=100

√C²=√100

C=10cm

A sample statistic handles the parameter it is intended to estimate so when target population and indeed the sampled population are equal.

Data gathering, organization, analysis, interpretation, as well as presentation are all topics covered in the field of statistics. It is customary to start with a statistical population or perhaps a statistical model to be investigated when using statistics to solve a scientific, industrial, or social problem.

To sum up, the five reasons to studying statistics are to be able to do research efficiently, to read and assess journal articles, to even further develop critical thinking and analytical skills, to behave as an informed consumer, and to be aware of when you need to seek outside statistical support.

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The sum of the reciprocals of the roots of the equation\(\[\frac{2003}{2004}x + \frac{1}{x} = 1\]\)is 1.

To solve this, let's first find the roots of the given equation.

Clear the fraction by multiplying both sides by 2004x:

2003\(x^2\) + 2004 = 2004x

Rearrange the equation to form a quadratic equation:

2003\(x^2\) - 2004x + 2004 = 0

Now, let's use Vieta's formulas, which relate the coefficients of a quadratic equation to the sum and product of its roots.

Let the roots of the equation be r1 and r2. According to Vieta's formulas, we have:

Sum of the roots: r1 + r2 = -b/a

Product of the roots: r1 × r2 = c/a

In our case, a = 2003, b = -2004, and c = 2004.

Calculate the sum of the roots:

r1 + r2 = -(-2004) / 2003 = 2004 / 2003

Find the sum of the reciprocals of the roots:

(1/r1) + (1/r2) = (r1 + r2) / (r1 × r2)

Since we already have the sum of the roots, we only need the product of the roots to complete the calculation:

r1 × r2 = 2004 / 2003

Plug the values into the equation:

(1/r1) + (1/r2) = (2004 / 2003) / (2004 / 2003) = 1

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Step-by-step explanation:

do you mean 6.70 because if you do I think it is 7 but I am not sure

On the number line the negative values resides on the left hand side while the positive number resides on the right side.

Answer:

Graph

Step-by-step explanation:

graph the line x=1 (vertical line passing through point (1,0))with a dotted line and shade everything to the right of the line. Then graph the line y=x (line with slope 1 passing through origin) with a dotted line, shading everything above the line.

According to the text, in a true experimental study, the subjects should be assigned to groups randomly. If this is not possible and a researcher uses intact groups, they are performing a quasi-experimental study.

Quasi-experimental studies are research designs that include some elements of an experimental study but are lacking in the key feature of random assignment to a treatment or control group. Researchers may compare groups that already exist, for example, individuals who already smoke and those who do not. Because the groups are not chosen randomly, researchers cannot attribute differences in results to the effects of the treatment in question.A quasi-experimental study is a type of study in which researchers analyze a natural experiment in which subjects in the study are not randomly assigned to the treatment and control groups. The goal is to compare the outcomes of the treatment and control groups while minimizing the effects of other factors that might interfere with the results.

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For a two-factor independent-measures research study with 2 levels of factor A and 3 levels of factor B, a total of 6 separate samples or groups would be needed.

In a two-factor independent-measures research study, each combination of levels of the two factors (A and B) constitutes a separate condition or treatment group. In this case, there are 2 levels of factor A and 3 levels of factor B, resulting in 2 x 3 = 6 possible combinations of levels.

To obtain valid and independent measurements, each combination or condition should be represented by a separate sample or group. This means that for each combination of levels of factors A and B, we would need a distinct group of participants or subjects. Therefore, a total of 6 separate samples or groups would be needed to conduct the study.

Having separate samples for each combination of factor levels allows for the comparison of the effects of each factor independently as well as their interaction. By varying the levels of both factors and observing the responses in each group, researchers can assess the main effects of each factor and investigate any potential interaction effects between the two factors.

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Answer:

25%

Step-by-step explanation:

30/40 = 0.75 = 75% paid

100-75 = 25% discount

Answer:

\(25\%\)

Step-by-step explanation:

To find the discount of an object, one must set up the equation, the difference between the original and the paid price, over the original price, equals percent over 100. In essence;

\(\frac{(original-paid)}{original}=\frac{percent}{100}\)

Substitute in the given values;

\(\frac{(40)-(30)}{40}=\frac{percnet}{100}\)

Solve;

\(\frac{10}{40}=\frac{percent}{100}\)

Simplify,

\(\frac{1}{4}=\frac{percent}{100}\)

Cross products,

\(100 = 4(percent)\)

Inverse operations,

\(100=4(percent)\\/4\\\\25 = percent\)

The depth of the water in the large container cube is  2.6 inches.

Tracey have two empty cube shaped containers with sides 5 inches and 7 inches. she fills the smaller container and then pour the water in the larger container.

Therefore, the depth of the water in the larger container can be found as follows:

Hence,

volume of the smaller cube = 5³

volume of the smaller cube =  125 inches³

Therefore,

volume of water poured in the larger cube = lwh

125 = 7 × 7 × h

h = 125 / 49

h = 2.55102040816

h = 2.6 inches

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Answer:

Step-by-step explanation:

3 feet above the shark

Answer:

see explanation

Step-by-step explanation:

using the formula V = lwh , then

(a)

volume of first box = 3x × x × 2x = 6x³ units³

(b)

volume of second box = 4x × 2x  × x = 8x³ units³

(c)

volume of 2 boxes = 6x³ + 8x³ = 14x³

(d)

if x = 6 , then

volume of 2 boxes = 14x³ = 14(6)³ = 14 × 216 = 3024 units³