2 1/2 + 3 1/5 x 5 5/8

Answer:

the value of x is 40 degree and the value of (2x+11) is 91 degree.

Step-by-step explanation:

hope it helps you.

Answer:

yes you are correct :)

Step-by-step explanation:

The order of the angles from smallest to largest is ∠F, ∠G, ∠O, and the order of the sides from smallest to largest is FG¯¯¯¯¯, OG¯¯¯¯¯, OF¯¯¯.

To order the angles, we need to compare their measures. Without specific information about the angles' values, we cannot determine the exact order. However, we can still list them in alphabetical order:

∠F

∠G

∠O

Now let's order the sides based on their lengths. Again, without specific measurements, we cannot determine the exact order, but we can list them alphabetically:

FG¯¯¯¯¯

OG¯¯¯¯¯

OF¯¯¯

So, in summary, the order of the angles from smallest to largest is ∠F, ∠G, ∠O, and the order of the sides from smallest to largest is FG¯¯¯¯¯, OG¯¯¯¯¯, OF¯¯¯.

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Answer:Other than using a calculator to get an approximate value (

5.83

) for  

√

34

,  

√

34

can not be simplified

Step-by-step explanation:The only factors (

>

1

) of  

34

are  

2

and  

17

Since neither of these are a square,  

√

34

has no simplification.

The Hardy-Weinberg equation is a mathematical formula used to calculate the frequency of alleles (alternative forms of genes) in a population.

It states that the frequency of alleles and genotypes in a population will remain constant from generation to generation in the absence of other evolutionary influences.

The equation is expressed as: p² + 2pq + q² = 1

In this equation, p represents the frequency of the dominant allele in the population, and q represents the frequency of the recessive allele.

The superscripts 2 represent the proportion of individuals in the population that are homozygous for that allele (meaning they have two copies of the same allele), while the 2pq term represents the proportion of individuals that are heterozygous (meaning they have one copy of each allele).

The sum of these terms is always equal to 1, as it represents the entire population.

This equation assumes several conditions: that the population is large, randomly mating, with no mutations, migration, natural selection, or genetic drift.

In reality, these conditions are rarely met, and the Hardy-Weinberg equation serves as a useful model for understanding how allele frequencies can change over time due to various evolutionary influences.

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We can conclude that we are 96% confident that the true population mean falls within the calculated confidence interval.

To find the 96% confidence interval for the true population mean of 4-day-old infants, we can follow these steps:

Step a: State the Critical Values:

Since the sample size is large and the population standard deviation is known, we can use the Z-distribution. For a 96% confidence level, we need to find the critical Z-values. The critical Z-value for a two-tailed test with a 96% confidence level is found by subtracting (1 - 0.96)/2 from 1 and looking up the corresponding value in the standard normal distribution table. The critical Z-value for a 96% confidence level is approximately 1.96.

Step b: State the Margin of Error:

The margin of error is calculated by multiplying the critical Z-value by the standard deviation divided by the square root of the sample size.

Margin of Error = Z * (Standard Deviation / √(Sample Size))

Step c: Confidence Interval:

The confidence interval is calculated by subtracting and adding the margin of error to the sample mean.

Confidence Interval = (Sample Mean - Margin of Error, Sample Mean + Margin of Error)

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Answer:

0.5 minutes

Step-by-step explanation:

Since we are provided the equation and the current height of the candle (which would be 25 inches) we can simply replace this current height with the variable h and then solve the rest of the equation to find out the value of m when the height of the candle is at 25 inches.

h = 32−14m

25 = 32−14m ... subtract both sides by 32

-7 = -14m ... divide both sides by -14

0.5 = m

Finally, we can see that after 0.5 minutes the candle would have melted down to 25 inches.

The value of x is 8 when the angles are created by two intersecting lines.

According to the question,

We have the following information:

We have a figure where two lines are intersecting and the angles made are 27 and (3x+3).

We know that vertically opposite angles are equal and when two lines intersect at a point then the angles made are vertically opposite angles.

So, we have the following expression:

3x+3 = 27

3x = 27-3

3x = 24

x = 24/3

x = 8

Hence, the value of x is 8 when the angles are created by two intersecting lines.

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Answer:x=2 y=-2

Step-by-step explanation:

Fill it in it’s right use substitute or elimination to get it

The values of Z such that e² = 2 + i√3 are Z = ln(2 + i√3) + 2πik, where k is an integer.

To find the values of Z, we can start by expressing 2 + i√3 in polar form. Let's denote it as re^(iθ), where r is the modulus and θ is the argument.

Given: 2 + i√3

To find r, we can use the modulus formula:

r = sqrt(a^2 + b^2)

= sqrt(2^2 + (√3)^2)

= sqrt(4 + 3)

= sqrt(7)

To find θ, we can use the argument formula:

θ = arctan(b/a)

= arctan(√3/2)

= π/3

So, we can express 2 + i√3 as sqrt(7)e^(iπ/3).

Now, we can find the values of Z by taking the natural logarithm (ln) of sqrt(7)e^(iπ/3) and adding 2πik, where k is an integer. This is due to the periodicity of the logarithmic function.

ln(sqrt(7)e^(iπ/3)) = ln(sqrt(7)) + i(π/3) + 2πik

Therefore, the values of Z are:

Z = ln(2 + i√3) + 2πik, where k is an integer.

The values of Z such that e² = 2 + i√3 are Z = ln(2 + i√3) + 2πik, where k is an integer.

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Answer:

Step-by-step explanation:

Given:

As we see two of the slopes are same, indicating a pair of parallel sides.

The other two slopes are different, so there is only one pair of parallel sides.

This is a definition of a trapezoid.

Correct choice is B

Answer:

2

Step-by-step explanation:

3-5/-2-(-1)

-2/-1 =

2

Answer:

2

Step-by-step explanation:

The slope is rise over run,

the equation for finding it is,

\(\frac{y_{2} - y_{1} }{x_{2} - x_{1} }\)

given the points

-2, 3

-1, 5

\(x_{1}\) = -2

\(x_{2}\) = -1

\(y_{1}\) = 3

\(y_{2}\) = 5

substitute in

\(\frac{y_{2} - y_{1} }{x_{2} - x_{1} }\)

=\(\frac{(5) - (3)}{ (-1) - (-2)}\)

simplify,

\(\frac{2}{1}\)

= 2

Answer & step-by-step explanation:

Corresponding Angles:   m∠1 = m∠5;  m∠2 = m∠6;

                                          m∠3 = m∠7;  m∠4 = m∠8

Alternate Interior Angles: m∠3 = m∠6;  m∠4 = m∠5

Alternate Exterior Angles: m∠1 = m∠8;  m∠2 = m∠7

As you can see on the picture below:

Answer:

0, 5%, 1/5, 5

5% is equal to 5÷100=0,05

1/5 is equal to 1÷5=0,2

The three angles of a triangle equal 180

Third angle = 180 - 31.8 - 89.8 = 58.4

Answer: 58.4

A temperature change of 20°C corresponds to a Fahrenheit temperature change of 36°F. The Fahrenheit scale has a different conversion formula than the Celsius scale, resulting in a larger change in degrees for the same temperature difference.

To convert from Celsius to Fahrenheit, we use the formula: F = (C * 9/5) + 32, where F represents the temperature in Fahrenheit and C represents the temperature in Celsius.

In this case, the temperature change is given as 20°C. To find the corresponding Fahrenheit temperature change, we apply the conversion formula: F = (20 * 9/5) + 32 = 36 + 32 = 68°F.

Therefore, a temperature change of 20°C corresponds to a Fahrenheit temperature change of 68°F. Among the given answer choices, the closest option is 36°F.

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Below is the Python code to simulate the probability of pulling a gold marble.

Python

import random

def simulate_pulling_gold_marble(num_trials):

 num_gold_marbles = 0

 for _ in range(num_trials):

   marble = random.choice(["gold", "red", "blue", "green"])

   if marble == "gold":

     num_gold_marbles += 1

 return num_gold_marbles / num_trials

def main():

 num_trials = 10000

 probability = simulate_pulling_gold_marble(num_trials)

 print("The probability of pulling a gold marble is", probability)

if __name__ == "__main__":

 main()

This code simulates pulling a gold marble 10,000 times. Each time a marble is pulled, it is put back in the bag so that the probability of pulling a gold marble remains the same each time. The code then calculates the proportion of times a gold marble was pulled and prints the probability.

To run the simulation, you can save the code as a Python file and then run it from the command line.

python simulation.py

The output of the simulation should be something like this:

The probability of pulling a gold marble is 0.2433

This means that the probability of pulling a gold marble is about 24%

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The statement that best proves that <XWY ≅ <ZYW is that two parallel lines are cut by a transversal, then the alternate interior angles are congruent

To determine the correct statement, we need to know the properties of a parallelogram.

These properties includes;

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Answer: \(a=110^{\circ}\)

Step-by-step explanation:

By the exterior angle theorem,

\(a+15^{\circ}=125^{\circ}\\\\a=110^{\circ}\)

Answer:

D

Step-by-step explanation:

Set up to different integrals that match the endpoints

so in our case it would look like

\(\int\limits^0_{-2} {x} \, dx +\int\limits^1_0 {x+1} \, dx\)

now it's just a matter of computing it

\(\int\limits^0_{-2} {x} \, dx =x^2\\0^2-(-2)^2=4\\\int\limits^1_0 {x+1} \, dx =\frac{x^2}{2}+x\\\frac{1}{2}+1-0=\frac{3}{2}\\\frac{3}{2}+4=\frac{11}{2}\)

Answer:

\(x=-\frac{9}{4}\)

Step-by-step explanation:

Step 1:  Subtract 21 from both sides

\(8x + 21 = 3\)

\(8x + 21 - 21 = 3 - 21\)

\(8x = -18\)

Step 2:  Divide 8 from both sides

\(8x = -18\)

\(\frac{8x}{8}=-\frac{18}{8}\)

\(x=-\frac{9}{4}\)

Answer:  \(x=-\frac{9}{4}\)

Answer:

d

Step-by-step explanation:

Given

- \(\frac{3}{2}\) x - 9 = - 27 ( add 9 to both sides )

- \(\frac{3}{2}\) x = - 18 ( multiply both sides by 2 to clear the fraction )

- 3x = - 36 ( divide both sides by - 3 )

x = 12 → d

(a) The graph of the linear functions is as attached.

(b) The equation of the linear function in slope-intercept form is; y = x

(c) The equation of the transformed function in slope-intercept form is;

y = x + 2 and y = x - 3

Functions are defined as the relationship between sets of values. For example, in the function; y = f(x), for every value of x there exists a set of y values.

x is the independent variable.

y is the dependent variable.

If the linear function is; y = x,

The equation of the transformation in slope-intercept form is given as;

For translation of 2 units up, we have;

y = x + 2

For a translation of 3 units down, we have;

y = x - 3

Thus, the required graph has been attached and the solution is determined.

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The maximum error is approximately 3.1978 * 10^7 for M = 1. The remainder term for the Maclaurin series of tanx is given by Rn(x) = tan(x) - Pn(x) = (2^(2n) - 1)B2n(π)/2(2n)! * x^(2n+1), where Pn(x) is the nth partial sum of the series and B2n(π) is the 2nth Bernoulli number evaluated at π.

In this case, we are approximating tanx by x on the interval [-6π, 6π], which corresponds to -18π ≤ x ≤ 18π. Since the Maclaurin series for tanx has only odd powers of x, we only need to consider the odd values of n. Let's choose n = 5, which gives us:
R5(x) = tan(x) - x - (1/3)x^3 - (2/15)x^5
To estimate the maximum error, we need to find the maximum value of the absolute value of R5(x) on the interval [-18π, 18π]. This occurs at the endpoints, where:
|R5(-18π)| ≈ 3.1978 * 10^7
|R5(18π)| ≈ 3.1978 * 10^7
Therefore, the maximum error is approximately 3.1978 * 10^7 for M = 1. (Note that the other choices for M are not relevant to this problem.)

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Based on the frequency distribution above, find the relative frequency for the class 19-22, Relative Frequency = 10.0%

To calculate the relative frequency, we divide the number of students in the class 19-22 (which is 3) by the total number of students (which is 6+3+8+7+2+6 = 32).

The relative frequency is found by dividing the number of students in the class by the total number of students and multiplying by 100 to express it as a percentage.

For the class 19-22, the relative frequency is (3/32) * 100 = 9.375%. Rounding this to one decimal place, we get the relative frequency as 10.0%.

Therefore, the relative frequency for the class 19-22 is 10.0%.

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the answer is 66

its easy... you posted this as high-school... this is 6th grade work

Area is 69 km2

………..,……….

Answer:

first of all its 20 points secon of all its C mark brainlist PLZ

Step-by-step explanation:

Hello there! :)

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

The definition of this piecewise function is:

Option D

Hope this helps you!

~SparklingFlower (:

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

Answer:

(a^2+2)(a+2)

Step-by-step explanation:

Factor a^3+2a+2a^2+4.

Using Factoring by grouping

a^3+2a   +    2a^2+4

Factor out a from the first two terms and 2 from the last two terms.

a( a^2 +2) + 2 ( a^2+2)

Factoring out a^2+2.

(a^2+2)(a+2)

Using addition of polynomials, the function modeling the number of people attending degree-granting institutions is:

P(t) = 48.7t² + 678.5t + 17667.4.

The number of males is given by:

M(t) = 19.7t² + 310.5t + 7539.6.

The number of females is given by:

F(t) = 28t² + 368t + 10127.8.

The total number is given by the addition of the number of males and of females, that is:

P(t) = M(t) + F(t).

Which is an addition of polynomials. To add the polynomials, we combine the like terms, that is, adding the terms that have the same variable and exponent. Hence:

P(t) = M(t) + F(t).

P(t) = 19.7t² + 310.5t + 7539.6 + 28t² + 368t + 10127.8.

P(t) = 48.7t² + 678.5t + 17667.4.

Which is the desired function.

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Given question is incomplete, the complete question is below

M= 19.7t² + 310.5t +7539.6

F= 28t² + 368t + 10127.8

modeling with mathematics during a recent period of time, the number (in thousands) of males M and females F(t) that attend degree-granting institutions in the United States can be modeled by M and F(t)

where t is time in years. Write a polynomial in standard form to model the total number of people attending degree-granting institutions. The polynomial is