given the following limit lim(x;y)!(0;0) infinty y infinity y , show that the function f (x; y) does not have a limit as (x; y) ! (0; 0).

Answer:

101°

Step-by-step explanation:

\(50 \degree + x \degree + (180 - 151) \degree = 180 \degree \\ \\ 50 \degree + x \degree +29 \degree = 180 \degree \\ \\ x \degree +79 \degree = 180 \degree \\ \\ x \degree = 180 \degree - 79 \degree\\ \\ x = 101 \degree\)

Another way:

x° + 50° = 151° (Alternate angles)

x° = 151° - 50°

x° = 101°

x = 101

Option D, which is the closest choice to 933.33, is 930. As a result, 930 fraction acres is a plausible estimate of the amount of acres on which Mr. Bailey will plant soybeans

A fraction is a number that represents a portion of a whole or a ratio between two quantities in mathematics. It is represented as a top number (numerator) over a bottom number (denominator) divided by a horizontal line, also known as a vinculum. The fraction 3/4, for example, represents three-quarters of a whole that has been divided into four equal parts. Proper fractions, improper fractions, and mixed numbers are all ways to express a fraction. A suitable fraction is one in which the numerator is less than the denominator, for example, 2/5.

Mr. Bailey intends to plant soybeans on 4 of every 9 acres, which equates to (4/9) of the total acres he farms.

If he intends to cultivate 2,100 acres, the number of acres planted with soybeans is:

(4/9) x 2,100 = 933.33

We must round this amount to the next whole number because he cannot plant soybeans on a fraction of an acre.

Option D, which is the closest choice to 933.33, is 930. As a result, 930 acres is a plausible estimate of the amount of acres on which Mr. Bailey will plant soybeans.

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Answer:

0.625

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

Part A

\(f(g(x))=f(\frac{x}{3})=3(\frac{x}{3})=x\\g(f(x))=g(3x)=\frac{3x}{3}=x\)

Since BOTH \(f(g(x))=x\) and \(g(f(x))=x\), then \(f\) and \(g\) are inverses of each other

Part B

\(f(g(x))=f(\frac{x+1}{2})=2(\frac{x+1}{2})+1=x+1+1=x+2\\g(f(x))=g(2x+1)=\frac{(2x+1)+1}{2}=\frac{2x+2}{2}=x+1\)

Since BOTH \(f(g(x))\neq x\) and \(g(f(x))\neq x\), then \(f\) and \(g\) are NOT inverses of each other

Answer:

Agree with the answer above

Step-by-step explanation:

The calculated value of the mode(s) of the data is (a) 1

From the question, we have the following parameters that can be used in our computation:

1, 0, 2, 2, 3, 0, 1, 1, 4, and 5

By definition, the mode of a data is the data that has the highest frequency

Using the above as a guide, we have the following:

The data element 1 has the highest frequency of 3

Other data elements have lesser frequencies

Hence, the mode(s) of the data is (a) 1

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Answer:

 x • (3x + y)

Step-by-step explanation:

Answer:

Step-by-step explanation:

3x to the power of to +xy= x (3x+y)

The correct option is (a) ŷ = -1.34x+21.5 , that is the best model to fit the scatter plot.

A scatter plot (or scatter chart, scatter graph) uses dots to represent values for two(2) different numeric variables. The position of each dot on horizontal and vertical axis indicates values for an individual data point.

The model of the equation best for the plot is,

ŷ = -1.34x+21.5

At point (1,20),

ŷ  = -1.34x+21.5

20 = (-1.34 ×  1) + 21.5

20 ≈ 20.15

At point (3,19),

ŷ = -1.34x+21.5

19 = (-1.34 × 3) + 21.5

19 ≈17.45

At point (5,15),

ŷ = -1.34x+21.5

15 = (-1.34 × 5) + 21.5

15 ≈ 14.75

The model ŷ = -1.34x+21.5   is giving the best estimation.

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The probability that two cards will be drawn at random, without replacement, is 13/18.

The ratio of good outcomes to all possible outcomes of an event is known as the probability. The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x.

The probability of an event can be calculated using the following formula.

Probability(Event) = Positive Results/Total Results = x/n

In order to better grasp probability, let's look at a straightforward application.

Let's say we need to forecast if it will rain or not. Either "Yes" or "No" is the appropriate response to this query.

There is a chance that it will rain or not. Here, probability can be used. Using probability, one may forecast the results of a coin toss, a roll of the dice, or a card draw.

According to our answer-

P(at least 1 green) = 1 - P(no green)

P(no green) = draw yellow on both draws

= P(draw yellow on 1st draw) * P( draw yellow on 2nd draw, given draw yellow on 1st draw)

= 5/9 * 4/8 = 20/72 = 5/18

P(at least 1 green) = 1 - 5/18

= 13/18

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Answer: 3/11 would be the answer

There are 9 friends who got baseball cards.

It is the inverse of the multiplication operation. It is defined as the act of forming equal groups.

Here,

Number of friends = Pack of baseball card / Share of each friend.

                                = 3/ (1/3)

                               = 3 X 3

                               = 9

Thus, There are 9 friends who got baseball cards.

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Answer:

The slope is 3.

Step-by-step explanation:

You can find this by using rise/run.

The line goes from (1,2) to (2,5).

The rise for this is 3 and the run is 1.

3/1 is 3, therefore the slope is 3

Answer:

20% increase

Step-by-step explanation:

To find the percent increase, use this formula

New value - original value

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

original value

114-95

-----------

95

19

---- = .2

95

.2 is 20%, so it is a20% increase

The total principal and interest payment that Nelson will have to pay after 2 months is $4665.50.

To calculate the total principal and interest payment, we need to determine the interest amount and add it to the principal.

First, let's find the interest amount:

Interest = Principal x Interest Rate x Time

Given:

Principal = $4650

Interest Rate = 2% per year

Time = 2 months

Since the interest rate is given on an annual basis, we need to convert the time from months to years. There are 12 months in a year, so 2 months is equivalent to 2/12 = 1/6 years.

Interest = $4650 x 0.02 x (1/6) = $15.50

Now, we can calculate the total principal and interest payment:

Total Payment = Principal + Interest

Total Payment = $4650 + $15.50 = $4665.50

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Answer:

10

Step-by-step explanation:

divide the numbers for a anser

The sum of the first 5 terms of the given harmonic progression is 2.50.

The difference between every two successive terms in an arithmetic series is always the same. The number "a" is the first term, and "d" is the common difference between the. sequence. The nth term of an arithmetic sequence is given by. a  = a + (n – 1)d

Given,  a harmonic progression (H.P.) for which a =10 and d =1

The formula for the nth term of a harmonic progression is:

aₙ = 1/(1/a + (n-1)d)

where a is the first term, d is a common difference, and n is the number of terms.

In this case, a = 10 and d = 1, so we have:

a₁ = 10

a₂ = 1/(1/10 + 1) = 5/4

a₃ = 1/(1/10 + 2) = 10/7

a₄ = 1/(1/10 + 3) = 20/13

a₅ = 1/(1/10 + 4) = 50/31

The sum of the first 5 terms of the harmonic progression is:

S₅ = a₁ + a₂ + a₃ + a₄ + a₅

Simplifying this expression and finding a common denominator, we get:

S₅ = (3101/1240) ≈ 2.50 (rounded to 2 decimal places)

Therefore, the approximated sum of the first 5 terms of the given harmonic progression is 2.50.

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The equation of the perpendicular bisector of the line segment with endpoints (-7, 2) and (-1, -6) is y = (3/4)x + 1.

To find the equation of the perpendicular bisector of a line segment, we need to determine the midpoint of the line segment and the slope of the line segment. The perpendicular bisector will have a negative reciprocal slope compared to the line segment and will pass through the midpoint.

Given the endpoints (-7, 2) and (-1, -6), we can find the midpoint using the midpoint formula:

Midpoint = ((x1 + x2)/2, (y1 + y2)/2)

Midpoint = ((-7 + (-1))/2, (2 + (-6))/2)

= (-8/2, -4/2)

= (-4, -2)

The midpoint of the line segment is (-4, -2).

Next, we need to find the slope of the line segment using the slope formula:

Slope = (y2 - y1)/(x2 - x1)

Slope = (-6 - 2)/(-1 - (-7))

= (-6 - 2)/(-1 + 7)

= (-8)/(6)

= -4/3

The slope of the line segment is -4/3.

Since the perpendicular bisector has a negative reciprocal slope, the slope of the perpendicular bisector will be 3/4.

Now, we can use the midpoint (-4, -2) and the slope 3/4 in the point-slope form of a line to find the equation of the perpendicular bisector:

y - y1 = m(x - x1)

y - (-2) = (3/4)(x - (-4))

y + 2 = (3/4)(x + 4)

y + 2 = (3/4)x + 3

y = (3/4)x + 1.

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Answer:

The answer would be 536 cones.

Step-by-step explanation:

You have to subtract 164 from 700.

700-164=536.

Answer:

True

Step-by-step explanation:

A function of form y = a^n is an exponential function as long as a>0.

Answer:

Step-by-step explanation:

All it's saying is that the 12% of the people are 35 and the 82% of people who did not submitted data is 175 people

The calculated test statistic (2.08) is greater than the critical value (1.96), we reject the null hypothesis and conclude that there is evidence to suggest that the contest has increased participation in the box tops for education program.

To determine if the contest has increased participation in the box tops for the education program, we need to conduct a hypothesis test.

We will use a significance level of 0.05, which means we are willing to accept a 5% chance of making a Type I error (rejecting the null hypothesis when it is actually true).

Null Hypothesis: The proportion of students submitting box tops for education is still 12% (or has decreased) after the contest.

Alternative Hypothesis: The proportion of students submitting box tops for education has increased after the contest.

To test this hypothesis, we will use a one-sample proportion test. We will use the sample proportion, p' = 35/210 = 0.1667, as an estimate of the population proportion, p. The test statistic is calculated as:

z = (p' - p) / √(p x (1-p)/n)

where n is the sample size.

Under the null hypothesis, the expected value of the test statistic is 0, and the standard deviation of the test statistic is sqrt(p*(1-p)/n).

Using p = 0.12 and n = 210, we have:

z = (0.1667 - 0.12) / √(0.12 x 0.88/210) ≈ 2.08

The critical value for a significance level of 0.05 and a two-tailed test is ±1.96.

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The solution is given below.

A fraction represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters.

here, we have,

from the given chart we get,

the solution is attached below.

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Verification by more than one independent observer  is an accepted check that scientists can use to determine whether a scientific report is unbiased

Every scientist holds certain presumptions. The goal should be to become as objective as you can while freely admitting your biases, not to be completely objective. By doing this, others will understand the conditions in which your findings are valid and reproducible.

As long as it is supported by facts, science is very much about the "best explanation so far," with lots of potential for modification and self-correction.

Through testing and experimentation, the scientific method establishes facts in an unbiased manner. Making an observation, formulating a hypothesis, making a prediction, carrying out an experiment, and then evaluating the findings are the fundamental steps.

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The values of {m} that is greater than 4.6 represent the solution of the given inequality.

An inequality is used to compare two or more expressions or numbers.

For example -

2x > 4y + 3

x + y > 3

x - y < 6

The given inequality is -

5m - 7 > 16

Adding 7 on both sides, we get -

5m - 7 + 7 > 16 + 7

5m > 23

m > 23/5

m > 4.6

Therefore, the values of {m} that is greater than 4.6 represent the solution of the given inequality.

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Answer:

X    2     -7

-9  -18    126

3    -54   -6,804

     1944  7.71

      0.00396604938

Step-by-step explanation:

I tried. Sorry if it's wrong I've never done a mathematical punnet square before.

Answer:

42

Step-by-step explanation:

Assuming CDS are half of DVDs, the answer would be 30 + 12

Yes, this study has a source of bias known as selection bias, which makes it unrepresentative. Overall, using sick patients to test competitors' drugs for side effects and using competitors' drugs as the control group can introduce significant biases in the study, making it unrepresentative of the larger population.

Selection bias occurs when the selection of the participants is not random and therefore does not represent the population accurately. In this case, the medical company is using sick patients to test their competitors’ drugs for side effects. By selecting only sick patients, the study may not represent the larger population who might not be sick or might have different health conditions. Therefore, the results of the study may not be generalizable to the larger population and may be biased towards the experiences of sick patients.

Additionally, using competitors' drugs as the control group may introduce another type of bias called the "experimenter bias." This occurs when the researchers unintentionally influence the outcome of the study by giving preferential treatment to the group they want to succeed. It is possible that the medical company might conduct the study in a way that favors their drug over the competitor's drug, resulting in an unrepresentative outcome.

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