Find the derivative of the function f(x), below. It may be to your advantage to simplify first. f(x)=x⋅5x
f′(x)=

Answer:

CB = sqrt62

Step-by-step explanation:

The pythagorean theorem will help with this! First take triangle ACD, AD^2 + CD^2 = AC^2. Plug in, AD^2 + 16 = 25. AD^2  = 9. AD = 3. I'm not exactly sure how to find DB, but I can assume it's double of AD< so 6. We know CD is 4, so  4^2 + 6^2 = CB^2. 16 + 36 = CB^2. CB = sqrt62

Sorry if this isn't exactly right, there's no exact way to find DB.

Answer:

CB = sqrt62

Step-by-step explanation:

The Pythagorean theorem will help with this! First take triangle ACD, AD^2 + CD^2 = AC^2. Plug in, AD^2 + 16 = 25. AD^2  = 9. AD = 3. I'm not exactly sure how to find DB, but I can assume it's double of AD< so 6. We know CD is 4, so  4^2 + 6^2 = CB^2. 16 + 36 = CB^2. CB = sqrt62

Note that where there's a moderate positive correlation between the length of a child's hair and the amount of time it takes for the child to run 100 meters, then the statement that is TRUE is: "The correlation is most likely due to a lurking variable." (Option B).

A correlation does not imply causation, and a moderate positive correlation is not enough to establish a causal relationship between two variables.

It is possible that the correlation is due to an underlying factor (lurking variable) that affects both the length of the child's hair and the time it takes for the child to run 100 meters. To establish causality, other methods such as experimental design and statistical analysis are necessary.

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Answer: 1

Step-by-step explanation:

2v = v - 9

-v -v

V = -9

Answer:

  4

Step-by-step explanation:

You want to know the leaf unit corresponding to data value 0.014 when values are rounded to thousandths.

The leaf unit for data values in a stem-and-leaf plot is the least-significant digit of the data value, when all data values are expressed to the same precision.

The least significant digit of 0.014 is 4. The leaf unit is 4.

<95141404393>

Answer:

m∠ABC = 110°

Step-by-step explanation:

By the property of exterior angle of a triangle,

"Exterior angle of a triangle is equal to the sum of two opposite interior angles"

m∠BAC + m∠ABC = 135°

25° + m∠ABC = 135°

m∠ABC = 135° - 25°

             = 110°

Therefore, measure of angle ABC is 110°.

(a) The real discrete Fourier transform (DFT) is calculated for the given data set to analyze the helicopter's acoustic signature.

(b) To obtain the ck values and illustrate the relative size of each term in the Fourier series, we calculate the magnitude of each coefficient and plot their amplitudes on a bar graph against the corresponding frequency component, k.

To analyze the helicopter's acoustic signature, the real DFT is computed for the provided data set. The DFT transforms the time-domain measurements of acoustic pressure into the frequency domain, revealing the different frequencies present and their corresponding amplitudes. This analysis helps in understanding the spectral characteristics of the helicopter's acoustic signature and identifying prominent frequency components.

Using the Fourier series representation, the amplitudes (ck's) of the different frequency components in the Fourier series are determined. These amplitudes represent the relative sizes of each term in the series, indicating the contribution of each frequency component to the overall acoustic signature. By plotting the amplitudes on a bar graph, the relative strengths of different frequency components become visually apparent, enabling a clear comparison of their importance in characterizing the helicopter's acoustic signature.

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An ideal gas follows the ideal gas law stating PV = nRT. Obtain the average volume/mole by solving for V/n. Divide both sides by Avogadro’s constant Na. Multiplying n and Na gives the number of molecules N.   V/N is the average volume/molecule. 250C is the room temperature = 298.15K. The atmospheric pressure is 101325 Pa or 1 atm. Each molecule in a gas is spaced evenly and placed in a lattice. To obtain the space taken up by a cube, find the cube root of V/N to obtain the average intermolecular distance.  For small molecules such as N2 or H2, the angstroms order is 10^(-10)  m. The intermolecular distance is about 10 times the small molecules.

P V = nRT

V⁄n=RT⁄P

V⁄(nNa )=RT⁄(PNa )

V⁄N=((8.314 J/(mol.K))(298.15K))/((101325Pa)(6.02×10^23  molecules/mol))≈4.06×10^23  m^3/molecule

∛(V/N)≈3.44×10^(-9) m = 3.44 nm

The intermolecular distance is about 10 times the small molecules.

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the volume of the rectangular prism is 5368/9 cubic feet, or 596.44 cubic feet.

The volume of a rectangular prism is the amount of space it occupies in three dimensions and is calculated by multiplying the length, width, and height of the prism. The formula for the volume of a rectangular prism is:

Volume = length x width x height

The width is given as 18 1/2 ft, which can be expressed as an improper fraction:

18 1/2 = (2 × 18 + 1)/2 = 37/2

The length is given as 4 5/6 ft, which can also be expressed as an improper fraction:

4 5/6 = (6 ×4 + 5)/6 = 29/6

The height is given as 5 1/3 ft, which can also be expressed as an improper fraction:

5 1/3 = (3 × 5 + 1)/3 = 16/3

Volume = length x width x height

Volume = (29/6) x (37/2) x (16/3)

Volume = 5368/9 cubic feet

Therefore, the volume of the rectangular prism is 5368/9 cubic feet, or approximately 596.44 cubic feet, when rounded to two decimal places.

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Answer:

all boxes except first should be checked

Step-by-step explanation:

the shaded area contains all solutions

see if each ordered pair resides in the solution area

Answer:

\(x = \sqrt{ {28.46}^{2} - {27}^{2} } = \sqrt{80.9716} = 9.00\)

Answer:

T = $1.50C + $1.00L

Step-by-step explanation:

Chocolate chip cookies - $1.50/dozen

C: # of dozens of chocolate chip cookies

↓

$1.50C

Lemon Frosteds - $1.00/dozen

L: # of dozens of lemon frosteds

↓

$1.00L

T(total) = $1.50C + $1.00L

Hope that helps.

The only odd integer among the choices is 5mn.

To determine which expression is an odd integer,

we need to know that the sum of an even integer and an odd integer is always odd, and the product of an even integer and an odd integer is always even.

A: 3m + 4n = 2m + m + 4n is even

since it's the sum of two even integers.

B: 5mn is odd since it's the product of an odd and an even integer.

C: (m + 3n)² = m² + 6mn + 9n² is odd since it's the sum of two odd integers and an even integer.

D: m³n² = m * m² * n² is even since it's the product of an even integer and two odd integers.

E: 5m + 6n = 2(2m + 3n) + m is odd since it's the sum of two even integers and an odd integer.

Therefore, the only odd integer among the choices is 5mn.

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Step-by-step explanation:

The total number of cars=24

Number of black cars=12

Divide 12 by 24,multiplied by 100%

12÷24 ×100=50%

Therefore, 50% of the cars are black

Answer:

See below

Step-by-step explanation:

The chi-squared analysis aims to check whether observed frequencies in one or more categories match up with expected frequencies. I don't see any answer choices, but hopefully this short explanation will help!

a) If the student misses his alarm, the probability that he is not late to school is 0.25.

b) The probability that the student is late to school is 0.65.

c) One day, the student shows up to school on time. The probability that he missed his alarm is 0.59.

For A,

Let A be the event that the student wakes up on time, and B be the event that the student is late to school. We want to find P(B).

By definition,

P(B) = 1 - P(A)

where A is the event that the student misses his alarm.

Therefore,

P(B) = 1 - P(A)

= 1  -0.75

We are given that P(A') = 0.75, so

P(B) =0.25

For B,

To calculate the probability that the student is late to school, we will use the following formula:

P(X = x) = n!/(x!(n-x)!) * p^x * (1-p)^(n-x)

where:

P(X = x) is the probability that the student is late to school

n is the number of trials

x is the number of events

p is the probability of an event occurring

For this problem, we will let n = 1 and x = 1.

Now that we have our formula, we can plug in our values to solve for P(X = x).

P(X = x) = 1!/(1!(1-1)!) * 0.65^1 * (1-0.65)^(1-1)

P(X = x) = 0.65

We can interpret this answer as follows: there is a 0.65 probability that the student is late to school.

For C,

We first need to find the probability that the student did not miss his alarm, which is 1 - 0.59 = 0.41. We then need to find the probability that the student showed up to school on time given that he did not miss his alarm, which is 1 - 0.41 = 0.59.

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Correlation analysis:

a. The variables used in the research study are "age" and "number of times eaten out in an average month." The level of measurement for age is an interval, and the level of measurement for the number of times eaten out is ratio.

b. Pretest Checklist for NormalityAge Histogram Interpretation:

A histogram with a bell curve, skewness equal to 0, and kurtosis equal to 3 indicates normality.

Mean = 45.17, Standard deviation = 14.89, Skewness = -.08, Kurtosis = -0.71.

The histogram for the age of respondents is approximately bell-shaped, indicating normality.

Number of times eaten out Histogram Interpretation:

A histogram with a bell curve, skewness equal to 0, and kurtosis equal to 3 indicates normality.

Mean = 8.38, Standard deviation = 8.77, Skewness = 2.33, Kurtosis = 9.27.

The histogram for the number of times the respondent eats out in an average month is positively skewed and not normally distributed. Therefore, it is not normally distributed.

Linearity:

Age vs. Number of times Eaten Out

Scatterplot Interpretation:

A scatterplot indicates linearity when there is a straight line and all data points are scattered along it. The scatterplot displays that the number of times respondents eat out increases as they get older. The relationship between the variables is linear and positive.

Homoscedasticity:

Age vs. Number of times Eaten OutScatterplot Interpretation: The scatterplot displays no fan-like pattern around the regression line, which indicates that the assumption of homoscedasticity is met.

c. Bivariate Correlation and Descriptive Statistics

Age and the number of times eaten out in an average month have a correlation coefficient of.

150, which is a small positive correlation and statistically insignificant (p = .077). The mean age of the respondents was 45.17 years, with a standard deviation of 14.89. The mean number of times the respondent eats out in an average month was 8.38, with a standard deviation of 8.77.

The scatterplot with regression line shows a positive slope that indicates a small and insignificant correlation between age and the number of times the respondent eats out in an average month.

d. The research study aimed to determine whether there is a correlation between age and the number of meals eaten outside the home. The data were analyzed using a bivariate correlation analysis, scatterplot with regression line, and descriptive statistics. The results indicated a small positive correlation (r = .150), but this correlation was statistically insignificant (p = .077).

The mean age of the respondents was 45.17 years, with a standard deviation of 14.89. The mean number of times the respondent eats out in an average month was 8.38, with a standard deviation of 8.77. The findings showed that there is no correlation between age and the number of times the respondent eats out in an average month.

Therefore, the researcher cannot conclude that age is a significant factor in the number of times a person eats out. The implications of the findings suggest that other factors may influence a person's decision to eat out, such as income, time constraints, and personal preferences. Further research could be done to determine what factors are significant in the decision to eat out.

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thanks, this is a answer (:

Answer: One abutment

Step-by-step explanation: When a fixed bridge is created, there must be at least one abutment of the bridge.

Answer:

1/6 a cup

Step-by-step explanation:

The measure of the inscribed angle is equal to 90 degrees

The inscribed angle theorem mentions that the angle inscribed inside a circle is always half the measure of the central angle or the intercepted arc that shares the endpoints of the inscribed angle's sides. In a circle, the angle formed by two chords with the common endpoints of a circle is called an inscribed angle and the common endpoint is considered as the vertex of the angle.

In this problem, the side length of the square is 5 which forms 90 degrees to all the other sides.

The measure of the circumscribed angle is 90 degree

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Answer:

I Believe Its Eight Squares

There are 450 triangles, we can pick that do not form an equilateral triangles when 15 dots are evenly spaced on the circumference of a circle.

An equilateral triangle is a triangle with all three sides of equal length , corresponding to what could also be known as a "regular" triangle.

here, we have,

Let's calculate the total no. of possible triangles, it depends on the combination. To make a triangle, we have to choose 3 dots out of 15.

Here, we will use the combination rule to find out the possible triangles,

Thus, the total number of possible triangles = 15C3                                                                      = (15.14.13) / (1.2.3) = 455

Note that an equilateral triangle would be formed by connecting 3 equally spaced dots.

For an equilateral triangle, out of 15 dots, there would be 15 - 3 = 12 dots that will not be connected.

And 12/3 = 4 dots would be between any two connecting dots.

Taking 1st connecting dot, the second connecting dot would be

1 + 4 + 1 = 6th

Similarly, the third connecting dot would be 6 + 4 + 1 = 11th

So, the following connecting dots will form equilateral triangles: (1, 6, 11); (2, 7, 12); (3, 8, 13); (4, 9, 14); (5, 10, 15);

After applying the combination rule we found the total number of the possible triangle and there are 5 equilateral triangles:

So, there are 455 - 5 = 450 triangles that are not equilateral triangles.

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Complete question;

fifteen dots are evenly spaced on the circumference of a circle. how many combinations of three dots can we pick from these 15 that do not form an equilateral triangle?

Answer:

B

Step-by-step explanation:

ssssssssddddddddddddddd

Answer:

B) y-intercept: 1; x-intercepts -3.414 and -0.586

Step-by-step explanation:

see attached graph

y-intercept: 1; x-intercepts -3.414 and -0.586

Answer:

91. The probability that Caroline will be ready before Andrew is 0.25 (Option B). Since the service times are exponentially distributed with a mean 15 minutes, the remaining service time for Andrew when Caroline arrives is also exponentially distributed with the mean 15 minutes. The service time for Caroline is also exponentially distributed with mean 15 minutes. The probability that Caroline’s service time is less than Andrew’s remaining service time is given by the formula P(X < Y) = 1 / (1 + λY / λX), where λX and λY are the rates of the exponential distributions for X and Y respectively. Since both service times have the same rate (λ = 1/15), the formula simplifies to P(X < Y) = 1 / (1 + 1) = 0.5. Therefore, the probability that Caroline will be ready before Andrew is 0.25.

92. The probability that Caroline will be ready before Bob is 0.35 (Option A). Since Bob arrived 10 minutes after Andrew, his remaining service time when Caroline arrives is exponentially distributed with mean 15 minutes. Using the same formula as above, we get P(X < Y) = 1 / (1 + λY / λX) = 1 / (1 + 1) = 0.5. Therefore, the probability that Caroline will be ready before Bob is 0.35.

Answer:

Step-by-step explanation:

ion even kno fr big dawg but imma go with 30.9

The probability that you will catch a t-shirt that is not of medium size would be 0.7

What is the probability?

Probability is a branch of mathematics that deals with numerical descriptions of how likely an event is to occur or how likely a proposition is to be true. The probability of an event is a number between 0 and 1, where 0 indicates the event's impossibility and 1 indicates certainty.

Small=S=20, M=medium=30,

L = Either large or extra large=50

P(T-shirt that is not a medium)= 1 - P(T-shirt is medium)

                                           = 1 - 30/100

                                           = 1 - 0.3

                                           = 0.7

Hence, the probability that you will catch a t-shirt that is not of medium size would be 0.7

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(a) The probability that all five calls are emergencies is 0.00008.

(b) The probability that two or more calls are not emergencies is 0.67808.

(c) The smallest number of calls that the 911 operators need to answer to be at least 92% (or more) sure that at least one call is an emergency is 7

(a) If 85% of the calls are not emergencies, then the probability that a call is an emergency is 1 - 0.85 = 0.15. Assuming that the calls are independent, the probability that all five calls are emergencies is

0.15^5 = 0.0000759375

Rounding to five decimal places, the probability is 0.00008.

(b) The probability that a call is not an emergency is 0.85. The probability that two or more calls are not emergencies can be calculated using the complement rule

P(two or more calls are not emergencies) = 1 - P(all five calls are emergencies) - P(one call is not an emergency)

We can calculate P(one call is not an emergency) as

P(one call is not an emergency) = 5C1 * 0.15^1 * 0.85^4 = 0.3218359375

where 5C1 represents "5 choose 1", or the number of ways to choose 1 call out of 5. Using this, we can calculate:

P(two or more calls are not emergencies) = 1 - 0.00008 - 0.3218359375 = 0.6780840625

Rounding to five decimal places, the probability is 0.67808.

(c) To determine the smallest number of calls needed to be at least 92% sure that at least one call is an emergency, we can use the complement rule again

P(at least one call is an emergency) = 1 - P(no calls are emergencies)

We want this probability to be at least 0.92, so we can set up the following inequality

1 - (0.15)^n >= 0.92

where n is the number of calls. Solving for n, we get

n >= log(0.08) / log(0.15)

n >= 6.3979

Since n must be a whole number, we round up to n = 7.

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Answer:

s = 53.3

Step-by-step explanation:

The square shows that the angle is 90 degrees, and is a shared angle. Therefore, the angles together make 90.

So, to get the unknown angle, you subtract the other angle by 90.

36.7 - 36.7 = 53.3

Answer: 0.9

Step-by-step explanation: First, divide 18 by 19. The exact answer to the fraction is 0.94736842105. To round to the nearest tenth, check if the answer directly to the right of the number after the decimal point is above or below five. In this case, it is below, rounding the answer to 0.9. Hope that helps!

The solution for f the angle ∠DEF will be 122°.

Geometry is the study of two- and three-dimensional figures such as quadrilaterals, triangles, circles, their sides, and angles.

Symmetry is defined as if the object is cut by its centre line the two cut parts should be the mirror image of each other so that we can call them symmetric to each other.

Given that the angles are:-

∠DCE = (3x + 16)°

∠DEF = (6x - 10)°

∠CDE = (2x - 4)°

In the triangle ΔCDE,

∠DEC = 180 - 3x - 16 - 2x + 4

∠DEC = (-5x + 168)°

∠DEC  + ∠DEF = 180

5x + 168 + 6x - 10 = 180

x = 180 - 158

x = 22

The value of the ∠DEF is,

∠DEF = 6x - 10

∠DEF = 6 x 22 - 10

∠DEF = 122°

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