Can the sides of a triangle have lengths 8.8, 8.5, and 0.5?

Yes or No?

By using the Cauchy-Riemann equations on a real-valued function, it can be proven that the function f(z) is constant in the domain D. This is important for understanding analytic functions in complex analysis.

To prove that if f(z) is real-valued for all z in D, then f(z) must be constant throughout D, let a function f be analytic everywhere in a domain D. We know that a real-valued function is said to be a function whose values lie on the real line. In the case of the complex plane, a function whose values lie on the real line is real-valued.

The Cauchy-Riemann equations, which define the necessary conditions for a function f(z) to be analytic in a domain, say that the imaginary component of f(z) is determined by its real component.

To be more precise, if f(z) is real-valued for all z in D, then we can say that:u(x, y) = f(z),v(x, y) = 0

By definition, the Cauchy-Riemann equations can be stated as:

∂u/∂x = ∂v/∂y∂u/∂y = -∂v/∂x

Taking the first equation, we get:

∂u/∂x = ∂v/∂y => ∂v/∂y = 0

Since v is equal to 0 for all values of x and y, the above equation reduces to ∂u/∂x = 0, which implies u is constant with respect to x.

Similarly, taking the second equation, we get:

∂u/∂y = -∂v/∂x => ∂u/∂y = 0

Since u is equal to a constant for all values of x and y, the above equation reduces to ∂v/∂y = 0, which implies v is constant with respect to y. Since u and v are both constant with respect to their respective variables, u + iv = f(z) is a constant with respect to z throughout the domain D. Thus, we have proved that if f(z) is real-valued for all z in D, then f(z) must be constant throughout D.

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Rushing's return on assets (ROA) is 8.579%.To calculate the return on assets (ROA), we divide the net income by the average total assets.

In this case, the net income is $157 million, and the average total assets are $1,830 million.

ROA = Net Income / Average Total Assets

ROA = $157 million / $1,830 million

ROA = 0.08579 or 8.579%

The return on assets is a financial ratio that measures a company's profitability in relation to its total assets. It provides insight into how effectively a company is generating profits from its investments in assets.

In this case, Rushing's ROA indicates that for every dollar of average total assets, the company generated a net income of approximately 8.579 cents. This implies that Rushing has been able to generate a reasonable level of profitability from its asset base.

ROA is an important metric for investors, as it helps assess the efficiency and profitability of a company's asset utilization. A higher ROA indicates that a company is generating more income for each dollar of assets, which suggests effective management and utilization of resources. Conversely, a lower ROA may suggest inefficiency or poor asset management.

However, it's important to note that ROA should be interpreted in the context of the industry and compared to competitors or industry benchmarks. Different industries have varying levels of asset intensity, so comparing the ROA of companies in different sectors may not provide meaningful insights. Additionally, changes in a company's ROA over time should be analyzed to understand trends and performance improvements or declines.

Overall, Rushing's ROA of 8.579% indicates a reasonably effective utilization of its assets to generate profits, but a more comprehensive analysis would require considering additional factors such as industry comparisons and historical trends.

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Answer:

128

Step-by-step explanation:

solve for inside parentheses:

-22x21÷4-12

do multiplication and division:

-115.5-12

subtract:

-127.5

Hope this helps

Answer:

y = -18

Step-by-step explanation:

Given that,

y+29 =11

We need to find the value of y.

Subtract 29 to both sides of the above equation.

y+29-29 =11-29

y = -18

So, the value of y is equal to -18.

The expected value of getting a face card in a player's initial two-card hand in a game of Texas Hold'em is :

44.65%.

To calculate the expected value of getting a face card in a player's initial two-card hand in a game of Texas Hold'em, we need to consider the probability of getting a face card and the number of face cards in the deck.

Determine the number of face cards in a standard deck of 52 cards.
There are 4 suits (hearts, diamonds, clubs, spades) and 3 face cards in each suit (jack, queen, king). So, there are 4 x 3 = 12 face cards in total.

Calculate the probability of getting a face card in the first card.
The probability is the number of face cards divided by the total number of cards: 12 face cards / 52 total cards = 12/52 = 3/13 ≈ 0.23077.

Calculate the probability of getting a face card in the second card.
Since one card is already drawn, there are 51 cards left in the deck and 11 face cards left (assuming the first card was a face card). The probability is 11 face cards / 51 total cards ≈ 0.21569.

Calculate the expected value of getting a face card in a player's initial two-card hand.
Expected value (EV) = Probability of getting a face card in the first card + Probability of getting a face card in the second card
EV ≈ 0.23077 + 0.21569 ≈ 0.44646

So, the expected value of getting a face card in a player's initial two-card hand in a game of Texas Hold'em is approximately 0.44646 or 44.65%.

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Answer: Y= -3/7+5

Step-by-step explanation:

The volume of the 12% salt solution to be added is; 2.5 gallons.

Let the volume of 12% required be x and the new volume of the mixture be (x+5).

On this note, it follows that;

Hence, -2x = -5

Divide both side by -2;

x = 2.5 gallons.

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Answer:

Step-by-step explanation:

The pilot flew 436.1 miles each day.

Answer:

42 degrees

Step-by-step explanation:

All the interior angles in a triangle add up to 180 degrees. Knowing this, we can construct the following equation:

\(180=84+54+a\\180=138+a\)

Subtract both sides by 138

\(180-138=138+a-138\\42=a\)

I hope this helps!

Answer:

1 turn

Step-by-step explanation:

this is what the graph would look like:

Answer:

2.857m/s^2

Step-by-step explanation:

Acceleration (a) is the change in velocity (v) over the change in time (t), represented by the equation a = v/t.

Check the picture below.

Answer:

\(\large\fbox{\green{\underline{Cylinder P :- \blue{ 794.0275 in ³}}}}\)

\(\large\fbox{\green{\underline{Cylinder Q :- \blue{1,307.81 in³}}}}\)

Step-by-step explanation:

Volume of cylinder = π × ( radius ) ² × h

1.) Here, radius = 4.25 in and height = 14 in.

Volume of cylinder = π × ( radius ) ² × height

substitute the values

Volume of cylinder P = 3.14 × ( 4.25 in ) ²×14 in.

now, simplify

= 3.14 × 18.0625 in²× 14 in.

= 3.14 × 252.875 in³

multiplying the value

= 794.0275 in³

\( \small \: \: \sf \: \fbox{ cirumference \: of \: cylinder \: P \: = {794.0275 in³}}\)

2.) Here, radius = 7 in. and height = 8.5 in.

Volume of cylinder Q = π × ( radius ) ² × height

substitute the values

Volume of cylinder Q = 3.14 × ( 7 in )² × 8.5 in.

Simplify

= 3.14 × 49 in² × 8.5 in.

multiply the values

= 3.14 × 416.5 in³

\( \small \sf \fbox{Volume of cylinder Q = 1,307.81 in ³}\)

Answer:

Make me as brain liest plz

The perimeter of triangle DEF is; 30 cm

We are given dimensions of Triangle ABC as;

Thus;

Perimeter of Triangle ABC = 9 + 6 + 7.5 = 22.5 cm

We are told that Triangle DEF is similar to Triangle ABC.

This means that the ratio of corresponding sides must be equal to the ratio of their perimeter.

Side EF corresponds to side BC. Thus;

Perimeter of Triangle DEF/22.5 = 8/6

Cross multiply to get;

Perimeter of Triangle DEF = (22.5 × 8)/6

Perimeter of Triangle DEF = 30 cm

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We define x as the number that we are looking for

now, we will write the equation following the conditions that they give us

Now we pass -x to the right with opposite sign, and 17 to the left with opposite sign

The we solve the substraction and we have

Finally, we can check if our answer actually fulfill the conditions given below

9514 1404 393

Answer:

  D) $304.47

Step-by-step explanation:

The value of the account is found using the compound interest formula:

  A = P(1 +r/n)^(nt)

where interest rate r compounded n times per year for t years is applied to principal P.

  A = $300(1 +0.0148/365)^(365·1) ≈ $304.47

Answer:

D

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

2+2 = 4

Answer:

2

Step-by-step explanation:

x²+2xy+y²

Here x² has degree 2

2xy has degree also 2 because x has 1 degree and y has 1 degree so 1+1=2

y² has degree 2

So the highest degree of the expression is 2

Answer:

I think it is 149,600,000.

Step-by-step explanation:

If the 8 is supposed to be the exponent. Then you move the decimal 8 times to the right.

The factorization of given polynomial is 4x(-x+3). Therefore, option A is the correct answer.

The given algebraic expression is -4x²+12x.

The factors are the polynomials which are multiplied to produce the original polynomial.

The factorization of the given polynomial is

-4x²+12x

= 4x(-x+3)

The factorization of given polynomial is 4x(-x+3). Therefore, option A is the correct answer.

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Step-by-step explanation:

check the pic

answer is 4

Answer:

\( \displaystyle 27150200\)

Step-by-step explanation:

we are two conditions

In choosing a committee, order doesn't matter; in case of teachers we need the number of combinations of 3 people chosen from 12

remember that,

\( \displaystyle\binom{n}{r} = \frac{n!}{r!(n - r)!} \)

with the condition we obtain that,

therefore substitute:

\( \displaystyle\binom{12}{3} = \frac{12!}{3!(12 - 3)!} \)

simplify Parentheses:

\( \displaystyle\binom{12}{3} = \frac{12!}{3! \cdot9!} \)

rewrite:

\( \rm \displaystyle\binom{12}{3} = \frac{12 \times 11 \times 10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1}{(1 \times 2 \times 3 )\cdot1 \times 2 \times 3 \times 4 \times 5 \times 6 \times 7 \times 8 \times 9} \)

reduce fraction:

\( \rm \displaystyle\binom{12}{3} = \frac{12 \times 11 \times 10}{1 \times 2 \times 3 } \)

rewrite 12 and 10:

\( \rm \displaystyle\binom{12}{3} = \frac{3 \times 2 \times 2 \times 11 \times 10}{1 \times 2 \times 3 } \)

reduce fraction:

\( \rm \displaystyle\binom{12}{3} = 2 \times 11 \times 10\)

simplify multiplication:

\( \rm \displaystyle\binom{12}{3} = 220\)

In case of students we need the number of combinations of 4 students choosen from 43 therefore,

\( \displaystyle\binom{43}{4} = \frac{43!}{4!(43 - 4)!} \)

simplify which yields:

\( \displaystyle\binom{43}{4} = 123410\)

hence,

The committee of 7 members can be selected in BLANK different ways is

\( \displaystyle 123410 \times 220\)

\( \displaystyle \boxed{27150200}\)

and we're done!

Answer 7

Step-by-step explanation:

7 will be the greatest value.

Correct option is (D).

The definition of a set in mathematics is a group of things whose components are unchangeable and fixed. In other words, a set is accurately described as a group of data that does not pass from one person to another. The items can be written in any sequence, but they cannot be repeated in the set. Capital letters are used to denote the set.

Several other kinds of sets include the infinite set, the finite set, the equivalent set, the subset, the universal set, and the superset. Each kind of set has a different place in calculations. Sets are essentially used to represent large amounts of data and collections of data in everyday life. Thus, in this article, we'll learn about and talk about the universal set.

As per the given data:

The integer set is {7, -7, -3, 3}

For the greatest value, arranging the set in ascending order:

{-7, -3, 3, 7}

The greatest value will be 7.

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Answer:

if Maria sells 6 she will make 12 add base wage she earned 15. if eve sells 1 she will also make a profit of 15

Answer:

Step-by-step explanation:

(6,-1) and (3,4)

Solving an equation in algebra - mathematics will BOMDAS rule. Multiplication, division, addition, and subtraction are performed before.

However, in order to simplify things, if there are any exponential or logarithmic components, solve them first before applying BOMDAS to reduce them to a single solvable term. This is required by the rules.

So the list goes as

1. Exponents

2. Roots

3. Multiplication

4. Division

5. additional

6. Subtraction

However. Using a regular or scientific calculator will generate a lot of debate. A scientific calculator will adhere to the principles, while a typical calculator will evaluate from left to right or precisely the operator used first.

Using a scientific calculator, 5+2x3=11 instead of the normal one's 5+2x3=21.

Furthermore, the preferred behavior norm for division and multiplication is different.

Thus, people's difficulty with mathematics is not unjustified. The choice of how you want to approach it is ultimately up to you.

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Answer:

-26 \(\frac{1}{10}\)

Step-by-step explanation:

.1 as a fraction is 1/10

Answer:

________________________________________________

Step-by-step explanation:

______________________________________________________________________________________________

Answer:

Solution given:

Cos X=Adjacent/hypotenuse

Cos X=6.5/8.4

x=Cos-¹(6.5/8.4)

x=39.3°

It will take 26 payments to grow the bank account to $4500.

As per the problem, The amount to be deposited per month\(= $x = $15\)

The amount to be grown in the bank account

\(= $300x \\= $4500\)

Annual Interest rate = 9%

Compounded Monthly

Hence,Monthly Interest Rate = 9% / 12 = 0.75%

The formula for Compound Interest is given by,

\(\[\boxed{A = P{{\left( {1 + \frac{r}{n}} \right)}^{nt}}}\]\)

Where,

A = Final Amount,

P = Principal amount invested,

r = Annual interest rate,

n = Number of times interest is compounded per year,

t = Number of years

Now we need to find out how many payments it will take for the bank account to grow to $4500.

We can find it by substituting the given values in the compound interest formula.

Substituting the given values in the compound interest formula, we get;

\(\[A = P{{\left( {1 + \frac{r}{n}} \right)}^{nt}}\]\[A = 15{{\left( {1 + \frac{0.75}{100}} \right)}^{12t}}\]\[\frac{4500}{15} \\= {{\left( {1 + \frac{0.75}{100}} \right)}^{12t}}\]300 \\= (1 + 0.0075)^(12t)\\\\Taking log on both sides,\\log300 \\= 12t log(1.0075)\)

We know that \(t = (log(P/A))/(12log(1+r/n))\)

Substituting the given values, we get;

\(t = (log(15/4500))/(12log(1+0.75/12))t \\≈ 25.1\)

Payments required for the bank account to grow to $300x is approximately equal to 25.1.

Therefore, it will take 26 payments to grow the bank account to $4500.

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The mean of the sampling distribution for the proportion of patients cured by this drug, with a sample size of n = 215 and an efficacy of 0.39, can be calculated using the formula:

mean = efficacy = 0.39



The efficacy of a drug refers to its ability to produce a desired effect, in this case, the proportion of patients cured by the drug. The value of 0.39 indicates that 39% of patients treated with this drug are cured.

A sampling distribution is the distribution of all possible sample means that could be obtained from a population. In this case, the sampling distribution is for the proportion of patients cured by the drug, with a sample size of n = 215.

The mean of this sampling distribution is simply the same as the efficacy of the drug, which is 0.39. This is because the efficacy represents the true proportion of patients cured by the drug in the population, and the sample mean is expected to be a good estimate of this value as the sample size increases. Therefore, the mean of the sampling distribution is equal to the efficacy of the drug.

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