Ava graphs the function h(x) = x2 4. Victor graphs the function g(x) = (x 4)2. Which statements are true regarding the two graphs? Select three options. Ava’s graph is a vertical translation of f(x) = x2. Victor’s graph is a vertical translation of f(x) = x2. Ava’s graph moved 4 units from f(x) = x2 in a positive direction. Victor’s graph moved 4 units from f(x) = x2 in a positive direction. Ava’s graph has a y-intercept of 4.

The polynomial that has a factor (3x + 2) and the constant term negative 10 will be p(x) = 3x - 8.

Let a, b, c, and d are the zeroes of the polynomial.

Then the polynomial is given as,

⇒ (x - a)(x - b)(x - c)(x - d)

The degree of the polynomial will be greater than or equal to the number of zeroes.

The zeros are -2/3. Then the factor of the polynomial is given as,

x = - 2/3

3x = - 2

3x + 2 = 0

The polynomial that has a factor (3x + 2) and the constant term negative 10 will be given as,

p(x) = 3x + 2 - 10

p(x) = 3x - 8

The polynomial that has a factor (3x + 2) and the constant term negative 10 will be p(x) = 3x - 8.

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The average of height of x girls and y boys with m and n height is (mx + ny)/(x + y).

The average of any value is calculated by the formula -

Average = sum of the height of students ÷ total number of students

Based on mentioned information, the average can be calculated through individually calculating numerator and denominator.

Sum of the heights of girls in a class = m × x

Sum of the height of boys in a class = n × y

Total number of students in a class = x + y

Keep the value in formula -

Average = (mx + ny)/(x + y)

Thus, average height is (mx + ny)/(x + y).

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Answer:

  no solution

Step-by-step explanation:

You want the solution to the radical equation √(2x+6) = -8.

The radical symbol is used to signify the positive square root. Whatever non-negative value (2x+6) may have, the left side expression returns a positive value for the root. It can never be equal to -8.

There is no solution to the given equation.

This should probably go in the ART section of Brainly, it may be confusing to people like me, who only have math on here :]

Balance is the use of even elements in a work of art, while symmetry is a type of balance, where parts of the image are mirrored.

Hope this helps,

:]

Answer:

I think it's B.

Step-by-step explanation:

:)

The missing term in the equation (x + 9)² = x² + 18x + is 81. The simplified form of the (x + 9 )² = x² + 18x + 81. The correct option is C.

Given

(x + 9)² =  x² + 18x +----

Required to find the missing term =?

It is given the form of ( a + b)² = a² + 2ab + b²

Putting the given values in the above form we get the value of the missing term from the equation

(x + 9 )² = x² + 2 × x ×9 + 9 × 9

              = x² + 18x + 81  

A quadratic equation is a second-order polynomial equation in one variable that goes like this: x ax2 + bx + c=0, where a 0. Given that it is a second-order polynomial equation, the algebraic fundamental theorem ensures that it has at least one solution. Real or complicated solutions are both possible.

Thus, we get the value of the missing term as 81.

Thus, the ideal selection is option C.

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Answer:

D. The over 30s have a larger range and interquartile range than the under 30s

Step-by-step explanation:

In a data set, the range is the difference between the maximum and minimum. So, the range for under 30s is 20, while the range for over 30s is 24. Additionally, the interquartile range is the difference between Q3 and Q1. For a boxplot, Q3 is the line where the box ends and Q1 is the line where the box begins. Therefore, the IQR for the under 30s is 8, and the IQR for over 30s is 11. So, D must be correct.

The value is used for the term p^2 in the equation p^2+ 2pq + q^2 = 1 is 0.16.

According to the statement

we have given that the allele frequency of the dominant allele is 0.4, and we have to find that the value of p^2 in the equation p^2+ 2pq + q^2 = 1.

So, For this purpose, we know that the

The allele frequency represents the incidence of a gene variant in a population. Alleles are variant forms of a gene that are located at the same position, or genetic locus, on a chromosome.

And here

allele frequency is the 0.4 and represent the value of P.

So, The value of p is 0.4 and the

Then p^2 = (0.4)^2

so, the value becomes

p^2 = (0.4)^2

p^2 = 0.16.

So, The value is used for the term p^2 in the equation p^2+ 2pq + q^2 = 1 is 0.16.

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Answer:

Below in bold.

Step-by-step explanation:

it is a right triangle so one angle = 90 degrees.

The other angle = 180 - (37 +90)

= 180 - 127

= 53 degrees.

Linear pairs add up to 180.

So other angle = 18--53

= 127 degrees.

The volume of a rectangular prism is always greater than or equal to the volume of a pyramid with the same height and base.

How to find the volume of a rectangular prism and pyramid?

The formula for the volume of a rectangular prism is:

Volume = Length * Width * Height

The formula for the volume of a pyramid is:

Volume = (Base Area * Height) / 3

The volume of a rectangular prism is always greater than or equal to the volume of a pyramid with the same height and base.

This is because the volume of a rectangular prism is calculated by multiplying its three dimensions together, whereas the volume of a pyramid is calculated by multiplying the base area by the height and dividing the result by 3.

Hence, the volume of the rectangular prism is greater than the volume of the pyramid with the same height and base. This is because the rectangular prism has additional volume in the form of its width, which the pyramid does not have.

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Answer:

25%.

Step-by-step explanation:

88 - 66 = 22

22/88 = 0.25

0.25 * 100 = 25%.

Answer:

37/100

Step-by-step explanation:

Step-by-step explanation:

Given that:

∛(2) * 2^(-1/13) * ¹²√(32)

= ∛(2) * 2^(-1/13) * ¹²√(2⁵)

[since, ⁿ√(a) = a^(1/n)]

= 2^(1/3) * 2^(-1/13) * 2^{5 * (1/12)}

= 2^(1/3) * 2^(-1/13) * 2^{(5*1)/12}

= 2^(1/3) * 2^(-1/13) * 2^(5/12)

[since, a^m * a^n = a^(m+n)]

= 2^{(1/3) - (1/13) + (5/12)}

Take the LCM of 3, 13 and 12 is 156.

= 2^[{(1*52) - (1*12) + (5*13)}/156]

= 2^{(52 - 12 + 65)/156}

= 2^{(117 - 12)/156}

= 2^(105/156)

Now reduce the power fraction in simplest form by cancelling method.

= {2^(35)}^(1/52) (or)

= ⁵²√{2^(35)}

Answer: Hence, the simplified form of ∛(2) * 2^(-1/13) * ¹²√(32) = ⁵²√{2^(³⁵)}.

Please let me know if you have any other questions.

Applying the law of indices to the roots, we have that

\(\sqrt[n]{x} = x^{\frac{1}{n} }\)

So,

\(\sqrt[3]{2}\) × \(2^{-\frac{1}{13} }\) × \(\sqrt[12]{32}\) = \(2^{\frac{1}{3} }\) × \(2^{-\frac{1}{13} }\) × \(32^{\frac{1}{12} }\)

=  \(2^{\frac{1}{3} }\) × \(2^{-\frac{1}{13} }\) × \((2^{5} )^{\frac{1}{12} }\)

= \(2^{\frac{1}{3} }\) × \(2^{-\frac{1}{13} }\) × \(2^{\frac{5}{12} }\)

Since we have the same base in all three numbers, we have that from the law of indices, \(a^{x}\) × \(a^{y}\) = \(a^{x + y}\)

= \(2^{\frac{1}{3} }\) × \(2^{-\frac{1}{13} }\) × \(2^{\frac{5}{12} }\)

\(= 2^{\frac{1}{3} + (-\frac{1}{13}) + \frac{5}{12} } \\= 2^{\frac{1}{3} - \frac{1}{13} + \frac{5}{12} }\)

Taking L..C.M of the denominators of the exponents, the L.C.M is 156.

So,

\(2^{\frac{1}{3} - \frac{1}{13} + \frac{5}{12} }\\= 2^{\frac{52 - 12 + 5 X 13}{156} } \\= 2^{\frac{52 - 12 + 65}{156} }\\= 2^{\frac{40 + 65}{156} }\\= 2^{\frac{105}{156} }\)

Simplifying the exponent, we have

\(2^{\frac{105}{156} } \\= 2^{\frac{35}{52} }\)

So, \(\sqrt[3]{2}\) × \(2^{-\frac{1}{13} }\) × \(\sqrt[12]{32}\) = \(2^{\frac{35}{52} }\)

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On a circle with a radius of 4 and center at (0, 0), to find the x and y coordinates at an angle of 180 degrees (or π in radian measure), we can use the trigonometric functions.

At 180 degrees, the x-coordinate will be 0, as it lies on the y-axis. The y-coordinate can be found by using the sine function.  Using the equation y = r * sin(θ), where r is the radius and θ is the angle in radians, we can substitute the values. In this case, r is 4 and θ is π (since 180 degrees equals π radians).

Therefore, the x-coordinate is 0 and the y-coordinate is 4 * sin(π) = 0. So, the x-coordinate is 0 and the y-coordinate is also 0.
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The measure of length PQ will be 22 units.

A triangle's third side is stated to be parallel to the line segment uniting its two midpoints, and it is also half as long as the third side.

Given:

PQ = 5x + 62, and MN = 6x-4

Now, using Mid- Point Theorem

PQ= 1/2 MN

-5x+ 62 = 1/2( 6x - 4)

-5x+ 62 = 3x - 2

-5x- 3x = -2 - 62

-8x = -64

x= 8

PQ= 5x+ 62 = -5(8) + 62 = -40 + 62 = 22

Hence, the measure of PQ is 22 units.

The missing image is attached below.

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(a) The statistical weight of the state is given by:

W(N,n) = (N choose n)

where (N choose n) represents the number of ways of choosing n items from a set of N distinct items, which in this case corresponds to the number of ways of selecting n spins to be up out of N total spins.

(b) The entropy of the system can be calculated using:

S = k_B * ln(W)

where k_B is the Boltzmann constant. Substituting the expression for W from part (a), we get:

S(N,n) = k_B * ln[(N choose n)]

(c) Stirling's formula states that ln(A!) ≈ A ln(A) - A for large values of A. Applying this formula to ln[(N choose n)] and simplifying, we get:

ln[(N choose n)] ≈ N ln(N) - n ln(n) - (N - n) ln(N - n)

Substituting this approximation into the expression for S from part (b), we get:

S(N,n) ≈ k_B * [N ln(N) - n ln(n) - (N - n) ln(N - n)]

(d) The statistical definition of temperature is given by:

(1/T) = (∂S/∂U)_{N,V}

Differentiating the expression for S with respect to U and simplifying, we get:

(1/T) = -k_B B ln(1 - (2n/N))

Solving for T, we get:

T = -k_B B / ln(1 - (2n/N))

(e) The total magnetic moment of the system can be calculated using:

m = -(∂U/∂B)_{N}

Substituting the expression for U from the problem statement and differentiating with respect to B, we get:

m = (N - 2n)UB

So the total magnetic moment of the system is given by:

m = (N - 2n)UB

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H^o: The filling machine is calibrated correctly and fills the cans with 14 fluid ounces. H^1: The filling machine is overfilling the cans with more than 14 fluid ounces.

In this scenario, we'll be using the null and alternative hypotheses to determine if the filling machine is calibrated correctly. We can state them as follows:

H^0 (null hypothesis): The filling machine is calibrated correctly, meaning it fills cans with exactly 14 fluid ounces.
H^0: μ = 14

H^1 (alternative hypothesis): The filling machine is not calibrated correctly, meaning it overfills the cans.
H^1: μ > 14

Here, μ represents the average amount of fluid ounces filled by the machine.

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=12

X-1+2x+12*3

re-arrange

X+2x=36+1

3x=37

X=37/3

X=12.3333

approximately

X=12

F(X)

=F(12)

hope it useful

Answer:

56

Step-by-step explanation:

a + 89 + b

Let a= 12 and b = -45

12 + 89 - 45

101-45

56

Answer:

The only real difference between producing on Broadway or Off-Broadway is the cost. The professional union that represents the stage managers on Broadway is the International Alliance of Theatrical Stage Employees (IATSE).

The time period of fm wave is found to be  1.13 x 10⁻⁸ sec.

The quantity of waves that pass a fixed point in a unit of time is referred to as frequency in physics.

For the given frequency of a fm wave =  8.85 × 10⁷ hertz.

Time period = 1 / frequency

T = 1 / 8.85 × 10⁷

T = 0.112 x 10⁻⁷ sec

T = 1.13 x 10⁻⁸ sec

Thus, the period of the fm wave is found to be  1.13 x 10⁻⁸ sec.

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By using a maclaurin series to obtain the maclaurin series for the given function is  F(x) = x cos(5x) = \(1 - 25x^2/2! + 625x^4/4! - 15625x^6/6! + ...\)

To obtain the Maclaurin series for the function f(x) = x cos(5x), we need to write the Maclaurin series for cos(5x). The Maclaurin series for cos(x) is: \(cos(x) = 1 - x^2/2! + x^4/4! - x^6/6! + ...\)

Using this formula, we can substitute 5x for x and obtain the Maclaurin series for cos(5x): cos(5x) =\(1 - (5x)^2/2! + (5x)^4/4! - (5x)^6/6! + ...\)

\(= 1 - 25x^2/2! + 625x^4/4! - 15625x^6/6! + ...\)

We can substitute this series into the original function f(x) = x cos(5x) and obtain its Maclaurin series: f(x) = x cos(5x)

\(= x[1 - 25x^2/2! + 625x^4/4! - 15625x^6/6! + ...]\)

\(= x - 25x^3/2! + 625x^5/4! - 15625x^7/6! + ...\)

This is the Maclaurin series for the function f(x) = x cos(5x). It is obtained by substituting the Maclaurin series for cos(5x) into the original function and simplifying the resulting series. Maclaurin series are useful for approximating functions using polynomials. By truncating the series after a certain number of terms, we can obtain a polynomial that approximates the original function to a certain degree of accuracy. The accuracy of the approximation depends on the number of terms in the series that are used. The more terms we include, the more accurate the approximation will be.

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Answer:

-9

Step-by-step explanation:

We can write an equation to solve this, using x as "the number":

(x·5)=3(x-6)

simplify

5x=3x-18

subtract 3x from both sides

2x=-18

divide both sides by 2

x=-9

Hope this helps! :)

The given number is -9.

Let's suppose the number be ‘x’.

According to the question, The product of five and a number is equal to three times the difference of the number and six.

Mathematically, it can be written as5x = 3(x - 6)

Solving this equation,5x = 3x - 185x - 3x = -18 (transferring 3x to LHS and -18 to RHS)2x = -18 (subtracting 3x from both the sides)

The value of x can be found out by dividing both the sides by 2.

Hence, x = -9

Thus, the value of the number is -9.

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Answer:

5 by 4

Step-by-step explanation:

sleepy haha sleepy sleepyy

Answer:

THe answer 5 by 4

Step-by-step explanation:

:)

answer

20hours 4 min 55sec

To calculate the 90% confidence interval for the average EPS of all industrials listed on the DJIA, we will use the formula:

Confidence interval = sample mean ± (critical value * standard deviation / √sample size)

Step 1: Find the critical value.
Since we want a 90% confidence interval, the corresponding critical value can be obtained from the z-table. The critical value for a 90% confidence level is 1.645.

Step 2: Calculate the margin of error.
The margin of error is given by (critical value * standard deviation / √sample size).
Substituting the values, we get: 1.645 * 0.395 / √9 = 0.29175.

Step 3: Calculate the confidence interval.
The confidence interval is given by the sample mean ± margin of error.
Substituting the values, we get: 1.85 ± 0.29175.

The 90% confidence interval for the average EPS of all industrials listed on the DJIA is (1.55825, 2.14175).

We can be 90% confident that the true average EPS of all industrials listed on the DJIA falls within the range of 1.55825 to 2.14175.

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