please help!!!!!!!!! ​

Answer: A monomial representation is a way to express a polynomial as a product of powers of its variables, where each power is a non-negative integer. For example, the polynomial 2x^3 + 4x^2 - 6x + 8 can be represented as a monomial representation of (2x^3)(x^2)(-6x)(8).

Symmetric polynomials are polynomials that are invariant under permutation of their variables. A symmetric presentation is a way of expressing a symmetric polynomial as a sum of elementary symmetric polynomials, which are defined as the sum of all possible products of variables taken i at a time, where i ranges from 1 to the number of variables. For example, the symmetric polynomial x^3 + y^3 + z^3 can be expressed as a symmetric presentation of x + y + z.

Step-by-step explanation:

Answer:

29:21

Step-by-step explanation:

The ratio of the diagonal to the base of the rectangle is 58:42

The ratio can be simplified further.

The simplified ratio is 29:21.

To multiply the given expressions (8.65 x 10^3) and (9.3 x 10^-23), we can apply the laws of exponents. In multiplication, we multiply the coefficients and add the exponents.

First, we multiply the coefficients:

8.65 * 9.3 = 80.295

Next, we add the exponents:

10^3 * 10^-23 = 10^(3 + (-23)) = 10^-20

Combining the coefficient and the exponent, we get:

80.295 x 10^-20

Thus, the final result of the multiplication is 80.295 x 10^-20.

In scientific notation, this can be written as 8.0295 x 10^-19, where the coefficient is 8.0295 and the exponent is -19.

This means that the product of (8.65 x 10^3) and (9.3 x 10^-23) is approximately 8.0295 x 10^-19. This result represents a very small value due to the negative exponent, indicating that the product is much smaller than 1.

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From 48 cups, total 192 servings can be made.

Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.

If a and b are two values, their ratio will be a:b,

Given that.

Number of cups uses to make 12 servings = 3

To make serving from 3 gallons,

Use ratio property,

Since, 1 gallon = 16 cups.

3 gallons = 16 x 3 cups

3 gallons = 48 cups

3 cups of milk are required to make 12 servings,

From 48 cup total serving = 12 x 16 = 192

from 48 cups total 192 servings can be made.

Hence, Total 192 servings can be made from 3 gallons.

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The phasor form of a sinusoid represents the amplitude and phase angle of the sinusoid in complex number notation. In this case, the phasor form of \(8 sin(20t 57)\) would be 8 ∠57°. The amplitude, 8, is the magnitude of the complex number, and the phase angle, 57°, is the angle of the complex number in the complex plane.

In terms of amplitude and phase angle, a sinusoidal waveform is mathematically represented in phasor form. Electrical engineering frequently employs it to depict AC (alternating current) circuits and signals. A complex number that depicts the magnitude and phase of a sinusoidal waveform is called a phasor. The phase angle is represented by the imaginary component of the phasor, whereas the real part of the phasor represents the waveform's amplitude. Complex algebra can be used to analyse AC circuits using the phasor form, which makes computations simpler and makes it simpler to see how the circuit behaves.

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The solutions to the quadratic function x² + 5x = 14 are given as follows:

x = -7 and x = 2.

The quadratic function in the context of this problem is defined as follows:

x² + 5x = 14.

In the standard format, we have that:

x² + 5x - 14 = 0.

Factoring the function, we have that:

(x + 7)(x - 2) = 0.

Applying the Factor Theorem, the solutions are given as follows:

The quadratic function in the context of this problem is defined as follows:

x² + 5x = 14.

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To show that a function is not a linear transformation, we need to find vectors x and y such that l(x + y) is not equal to l(x) + l(y) or l(c x) is not equal to c l(x), where c is a scalar.

Let's consider the function l defined by l(x, y) = x^2 - y^2.

To show that l is not a linear transformation, we need to find vectors x and y such that l(x + y) is not equal to l(x) + l(y) or l(c x) is not equal to c l(x), where c is a scalar.

Let x = (1, 0) and y = (0, 1). Then,

l(x + y) = l(1, 1) = (1)^2 - (1)^2 = 0

l(x) + l(y) = (1)^2 - (0)^2 + (0)^2 - (1)^2 = 0

So, we see that l(x + y) = l(x) + l(y), which satisfies the additivity condition for linearity.

Now, let's check the homogeneity condition for linearity.

Let c = 2 and x = (1, 0). Then,

l(c x) = l(2, 0) = (2)^2 - (0)^2 = 4

c l(x) = 2 l(1, 0) = 2 ((1)^2 - (0)^2) = 2

Since l(c x) ≠ c l(x), we see that l is not a linear transformation.

Therefore, we have found vectors x = (1, 0) and y = (0, 1) such that l(x + y) is not equal to l(x) + l(y), and we have also found a scalar c = 2 and a vector x = (1, 0) such that l(c x) is not equal to c l(x). This shows that the function l(x, y) = x^2 - y^2 is not a linear transformation.

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Step-by-step explanation:

\( {x}^{2} - 2x = - 2 \\ {x}^{2} - 2x + 2 = 0 \\ x = \frac{ - b± \sqrt{ {b}^{2} - 4ac} }{2a} \\ x = \frac{ - ( - 2)± \sqrt{ {( - 2)}^{2} - (4 \times 1 \times 2)} }{2 \times 1} \\ x = \frac{2± \sqrt{ - 4} }{2} \\ x = \frac{2±2i}{2} \\ x = \frac{2 + 2i}{2} \: or \: \frac{2 - 2i}{2} \\ x = 1 + i \: \: or \: \: 1 - i \\ x = 1±i\)

Arrange the data in ascending order,

The mean is ,

The mean is 98.6.

The median is,

The median is 96.5.u

The mode is the value that appears most often in a set of data values.

The range is determined as the difference between the maximum and minimum value.

Probability to determine only two marbles are red is equal to 0.6.

As given in the question,

Total number of given red marbles in a bag = 4

Total number of given blue marbles in a bag = 2

Number of marbles selected simultaneously from the bag = 3

Condition : Only two marbles are red

Out of 3 marbles to be selected if 2 are red then 1 has to be  blue

Probability of taking out 3 marbles where only 2 are red

= ( ⁴C₂ × ²C₁ ) / ⁶C₃

= [4!/ (4-2)!2! ] × [ 2!/ ( 2- 1)!1! ] / 6! / (6-3)!3!

= ( 4 )( 3 ) / ( 5 )( 4)

= 12 / 20

= 0.6

Therefore, probability of selecting three marbles out of 6 with only 2 are red is 0.6.

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Here the  p-value is less than the significance level of 0.05, we can reject the null hypothesis and conclude that there is sufficient evidence at the 0.05 level that the valve performs above specifications.

We have to evaluate null and alternative hypotheses for the scenario .

In this scenario, the null hypothesis is

H0: μ = 5.8

here

μ = true mean pressure produced by the valve.

Now for the alternative hypothesis is

HA: μ > 5.8

here

μ = true mean pressure produced by the valve.

Therefore to  determine if there is sufficient observation at the 0.05 level that the valve performs above specifications,

Here we can utilize a one-tailed z-test with

α = 0.05

Then,  test statistic can be evaluated as

z = (X' - μ) / (σ / √n)

where:

X' = sample mean

μ = hypothesized value concerning the population mean

σ = population standard deviation

n = sample size

Substituting in our values, we get:

z = (5.9 - 5.8) / (1 / √130) = 1.8856



Now utilizing a z-table  we can evaluate that the p-value associated with this test statistic is approximately 0.0292.

Since this p-value is less than the significance level of 0.05, we can reject the null hypothesis and conclude that there is sufficient evidence at the 0.05 level that the valve performs above specifications.

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A ratio in mathematics displays how often one number occurs in another and the given situation's specific heat ratio is 1.24.

In mathematics, a ratio shows how frequently one number appears in another.

For instance, the ratio of oranges to lemons in a fruit plate would be eight to six if there were eight oranges and six lemons.

Oranges make up 8:14 of the total fruit, whereas lemons make up 6:8 of the total fruit.

So, e are informed that the volume is halved, and the pressure increases by a factor of 2.5.

We shall therefore have:

PVγ = 2.5P(0.5V)γ

We'll condense this to:

(1/0.5)γ = 2.5

γ = In2.5/In2

γ = 1.32

The volume temperature relation is written as follows if the volume expands in an adiabatic process:

T1V1∧γ-1 = T2V2∧γ-1

T1V1∧1.32-1 = T2(0.5V1)∧1.32-1

Condensing this results in:

T₁ = 1.24T₂

Therefore, a ratio in mathematics displays how often one number occurs in another and the given situation's specific heat ratio is 1.24.

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Answer:

Step-by-step explanation:

\(18\: girls \\ 27 \:boys\\\\Girls\:: Boys\\18 \: \:\:\:\:\:\:: 27\\\\Use\:3\:to\:divide\:through\\6:9 = 2:3\\\)

To estimate p, the proportion of U.S. adults who support recognizing civil unions between gay or lesbian couples, with 95% confidence and a margin of error of 1.5%.

We need to use the following formula to calculate the required sample size:n = (Z^2 * p * (1-p)) / E^2
Where:
- Z is the standard normal value corresponding to the desired level of confidence, which is 1.96 for 95% confidence.
- p is the estimated population proportion, which we don't know yet.
- E is the desired margin of error, which is 0.015 (1.5%).

Let's assume that p is 0.6, which means that we expect 60% of U.S. adults to support recognizing civil unions between gay or lesbian couples.

Plugging in the values:

n = (1.96^2 * 0.5 * (1-0.5)) / 0.015^2
n = (3.8416 * 0.5 * 0.5) / 0.000225
n = 1.9208 / 0.000225
n = 8531.55556


Rounding up to the nearest integer, we need a sample size of 4,445 to be 95% confident that the obtained sample proportion will be within 1.5% of the population proportion. Therefore, the correct answer is 4,445.

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The Largest Positive Offset value  that can be used in the BR instruction is 255.

The Largest Negative Offset value  that can be used in the BR instruction is -256.

What is BR instruction?

The short form of BR instruction is termed as Branch instruction.  Instead of executing the instruction in a defined order depending on the  constraint, BR Instruction is used to begin executing different instructions

Here, in BR instruction

The range of the maximum values for the integers is -255 to 255, so the largest positive offset is 255 and the largest negative offset -256

The Largest Positive Offset value  that can be used in the BR instruction is 255.

The Largest Negative Offset value  that can be used in the BR instruction is -256.

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Tangents are slopes, and there are two angles with the same slope that are 180 degrees apart, not to mention an infinite number of coterminal brethren all with the same tangent.  So this question is a bit ambiguous.

Let's assume they want the principal value of the inverse tangent, between -90 degrees and +90 degrees.  A tangent bigger than 1 means it will be between 45 and 90 degrees.

tan x = 2.246

x = arctan 2.246 = 66.00 degrees

Answer: 66

Answer:

57 miles

Step-by-step explanation:

Answer:

57 miles

Step-by-step explanation:

divide 199.5/3.5 and you will get 57 miles

Answer:

The profit function P(x) is defined as the difference between the revenue function R(x) and the cost function C(x): P(x) = R(x) - C(x). Substituting the given functions for R(x) and C(x), we get:

P(x) = (-31.72x^2 + 2030x) - (-126.96x + 26391) = -31.72x^2 + 2156.96x - 26391

To find the maximum profit, we need to find the vertex of this quadratic function. The x-coordinate of the vertex is given by the formula x = -b/(2a), where a = -31.72 and b = 2156.96. Substituting these values into the formula, we get:

x = -2156.96/(2 * (-31.72)) ≈ 34

Substituting this value of x into the profit function, we find that the maximum profit is:

P(34) = -31.72(34)^2 + 2156.96(34) - 26391 ≈ $4,665

The selling price of the dog food is given by the revenue function divided by x: R(x)/x = (-31.72x^2 + 2030x)/x = -31.72x + 2030. Substituting x = 34 into this equation, we find that the selling price of the dog food should be set to:

-31.72(34) + 2030 ≈ $92

So, the maximum profit of $4,665 can be made when the selling price of the dog food is set to $92 per bag.

The value √50 after estimating hundredths place value, lies between the numbers 7.07 and 7.08.

Hundredths is written as the fractional part of the number 100. The value of a hundredth is equal to 1/100 or 0.01.

Estimate √50 to the hundredths place.

First, check the whole number between whose, the value √50 is fall.

\(7^2 = 49\)

\(8^2 = 64\)

The number 7 and 8 are the numbers, between which the value √50 is lies.

In the decimal point form find out the value, till the value, √50.

\((7. 0)^2 = 49.0\)

\((7.1)^2 = 50.41\)

Thus, the value lies between the square of 7.0 and 7.1.

The square of number between 7.0 and 7.1 are,

\((7.01)^2=49.1401\\(7.02)^2=49.2804\\(7.03)^2=49.4209\\(7.04)^2=49.5616\\(7.05)^2=49.7025\\(7.06)^2=49.8436\\(7.07)^2=49.9849\\(7.08)^2=50.1264\\\)

Hence, the value √50 after estimating hundredths place value, lies between the numbers 7.07 and 7.08.

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False, it is P=2L+2A

Answer:

Step-by-step explanation :

\( \sqrt{ \frac{243}{3} } \)

\( = \sqrt{81} \)

\( = \sqrt{9 \times 9} \)

= 9(Ans)

hope it helps you have a good day

sorry for bad picture

Answer:

She will pay her mom back and have 20 dollars over if she works one hour.

Step-by-step explanation:

The number 7 emerged in human history through cultural and mathematical developments.

The significance of the number 7 can be observed in various aspects of human history. One of the earliest instances is found in ancient Mesopotamia, where the Sumerians developed a base-60 numeral system called sexagesimal.

This system contributed to the use of 60 as a highly divisible number and influenced the concept of dividing the day into 24 hours, each consisting of 60 minutes.

In ancient Egypt, the division of the week into seven days was based on the observation of celestial bodies.

The Egyptians associated each day with a different planet or celestial object, namely Sunday (Sun), Monday (Moon), Tuesday (Mars), Wednesday (Mercury), Thursday (Jupiter), Friday (Venus), and Saturday (Saturn). These planetary associations were later adopted by the Romans, and their names in English still reflect these origins.

The number 7 also holds religious and symbolic significance. In Judaism, the seventh day of the week, Saturday, is considered a day of rest, known as the Sabbath.

This tradition is rooted in the biblical story of creation, where God rested on the seventh day. In Christianity, the Book of Genesis describes the world being created in six days, with the seventh day being designated as holy.

Furthermore, the number 7 appears in mathematics and geometry. The seven colors of the rainbow, the seven musical notes, and the seven wonders of the ancient world are all examples of the cultural significance attributed to this number.

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Linda can choose any combination of three events that adds up to more than a kilometer but less than 1.5 kilometers

In order to find the best combination of events for Linda to sign up for to run a total of more than a kilometer but less than 1.5 kilometers, we must first determine the total distances of the individual events.

Depending on the events offered, Linda can choose three events that add up to more than a kilometer but less than 1.5 kilometers.

If Linda has the option of running the 100m, 200m, and 800m, she can satisfy her requirement of running more than a kilometer but less than 1.5 kilometers by choosing the 100m, 200m, and 800m.

This would add up to 1100m, which is slightly over a kilometer but below 1.5 kilometers.

Another option for Linda is to run the 100m, 400m, and 600m, which would add up to 1100m, once again satisfying her requirement.

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Answer

Ok i will help

Step-by-step explanation:

Yay!

Answer:

Step-by-step explanation:

x + 2y = 7   ⇒  x = 7 - 2y

- 2x + 3y = 14

- 2(7 - 2y) + 3y = 14

-14 + 4y + 3y = 14

-14 +7y +14 = 14 +14

   7y = 28

     y = 4

x = 7 - 2y = 7-2(4) = 7 - 8 = -1

The value of the expression (4x^6) * 3y^5/6x^3y^3 is 2x^3y^2

The expression is given as

(4x^6) * 3y^5/6x^3y^3

Divide 3 and 6 by 3

So, we have

(4x^6) * 3y^5/6x^3y^3 = (4x^6) * y^5/2x^3y^3

Apply the law of indices to the exponents

(4x^6) * 3y^5/6x^3y^3 = (4x^6) * y^2/2x^3

Remove the bracket

(4x^6) * 3y^5/6x^3y^3 = 4x^6 * y^2/2x^3

Divide 4 and 2 by 2

So, we have

(4x^6) * 3y^5/6x^3y^3 = 2x^6 * y^2/x^3

Apply the law of indices to the exponents

(4x^6) * 3y^5/6x^3y^3 = 2x^3y^2

Hence, the value of the expression (4x^6) * 3y^5/6x^3y^3 is 2x^3y^2

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Answer:

B

Step-by-step explanation:

\(Tan \ A = \dfrac{Opposit \ side \ A}{Adjacent \ side \ of \ A}\\\\Tan \ A = \dfrac{16}{12}=\dfrac{4}{3}\)

The general formula for the nth term of the series is:an = 13 + 17² + 19² + ... + (n-2)pn² where p1, p2, ... are the first n-2 prime numbers.

This formula gives the nth term of the given series and not the partial sum of the series.

The given series is 13, 19, 127, 181, ... Let's analyze the given series.

Notice that the given series contains prime numbers. Also, each term of the series is obtained by adding the previous term to the square of the previous prime number.

With this observation, we can conclude that the nth term of the series can be represented by the formula:an = a1 + p1² + p2² + ... + (n-2)pn² where p1, p2, ... are the first n-2 prime numbers.

The first term a1 = 13, p1 = 17, p2 = 19 and so on.

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Answer:

the bigger number is 5 while the smaller number is 4

Step-by-step explanation:

x-y=1                                    eqn 1

x+2y=13                                eqn 2

from equation 1

x=1+y

substitute in eqn 2

1-y+2y=13

1+3y=13

y=4

x=1+y

x=1+4

x=5