FIRST RIGHT GETS BRAINLYEST

Answer:

(3x+2)^2+1

Step-by-step explanation:

(f°g)(x) =g(f(x)) =g(3x+2)=(3x+2)^2 +1

The required fog ( x ) = 3x² + 5. Option D is correct.

Given that,
If f(x) = 3x + 2 and g(x) = x2 + 1, which expression is equivalent to (f circle g) (x) is to be determined.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in set of y. x is the independent variable while Y is the dependent variable.

Here,
f( x ) = 3x + 2
g( x ) = x² + 1
fog ( x ) = f( g( x ) )
Same as substituting the value of x we substitute a function g inside the function f.
fog ( x ) = 3 (x² + 1) + 2
fog ( x ) = 3x² + 5

Thus, the required fog(x) = 3x² + 5. Option D is correct.

Learn more about function here:

brainly.com/question/21145944

#SPJ5

The identity has been proven: (sin 2x cot x) / 2 sec x = cos³ x.

Follow these steps:

Step 1: Replace the trigonometric functions with their equivalent expressions:
(sin 2x cot x) / 2 sec x = (2 sin x cos x (cos x / sin x)) / (2 (1 / cos x))

Step 2: Simplify the expression by canceling common terms:
(2 sin x cos x (cos x / sin x)) / (2 (1 / cos x)) = (sin x cos² x) / (1 / cos x)

Step 3: Multiply the numerator and denominator by cos x to eliminate the fraction:
(sin x cos² x) / (1 / cos x) * cos x = (sin x cos² x) * cos x = cos³ x

The identity has been proven: (sin 2x cot x) / 2 sec x = cos³ x.

Learn more about  trigonometric functions.

brainly.com/question/6904750

#SPJ11

The arithmetic mean of the given data is 7.

What is mean?

The term "mean" is often used in mathematics and statistics to refer to the average value of a set of numbers. The mean is calculated by adding up all the numbers in the set and dividing the sum by the total number of values in the set.

To find the mean of given data we can use the arithmetic mean formula.

The formula of arithmetic mean is:

Arithmetic Mean = Sum of all observations/Number of observations

Given observations = 10.25, 9, 4.75, 8, 2.65, 12, 2.35

Total number of observations = 7

Arithmetic Mean = (10.25 + 9 + 4.75 + 8 + 2.65 + 12 + 2.35)/7

= 49/7

=7

Therefore, arithmetic mean of the given data is 7.

To learn more about mean visit:

https://brainly.com/question/1136789

#SPJ1

The correlation coefficient (r) measures the strength and direction of the linear relationship between two variables. The value of r ranges from -1 to +1, where a value of -1 indicates a perfect negative correlation, +1 indicates a perfect positive correlation, and 0 indicates no correlation.

The correlation coefficient's sign will not change when the order of the variables in a correlation study is changed, but the coefficient's numerical value might. This is due to the symmetry of the correlation coefficient with regard to the two variables under comparison.

For instance, if you calculate the correlation coefficient between X and Y and the result is r = 0.7, it indicates that Y tends to rise as X does. The correlation coefficient between the variables Y and X will have the same sign (+ or -) but a different numerical value if the variables are computed in a different order.

For such more question on coefficient:

https://brainly.com/question/4219149

#SPJ4

The main goal of data democratization is to make data accessible to all users. Option (a) is correct.

Given the primary goal of data democratization.

Data democratization is the ability to make information in a digital format accessible to the average end user. The goal of data democratization is to allow non-professionals to collect and analyze data without the need for outside help. This requires us to support access with an easy way for people to understand data, so they can use it to accelerate decision-making and uncover opportunities for a business. The goal is for everyone to be able to use the data at any time to make decisions without barriers of access or understanding.

Therefore, the main goal of data democratization is to make data accessible to all users.

Learn more about data democratization from here brainly.com/question/26711803

#SPJ1

Expressions can be expressed in logarithmic forms, and in exponential forms

The two equations are \(\ln(10) = y\) and \(10 = e^y\)

The statement is given as "the natural logarithm of 10 is y".

The logarithmic expression of the above statement is:

\(\ln(10) = y\)

Rewrite the above expression, as an exponential equation

\(10 = e^y\)

Hence, the two equations are \(\ln(10) = y\) and \(10 = e^y\)

Read more about logarithms at:

https://brainly.com/question/1832186

Answer:

2

Step-by-step explanation:

Answer:

105.6 m^2

Step-by-step explanation:

The equation to find an area of a circle is:

\(A = \pi r^{2}\)

A is the area, and r is your radius.

The diameter of a circle is its width. In this case, your diameter is 11.6m. The radius of a circle is simply half the diameter. So:

11.6 / 2 = 5.8

Now that you have r, plug it into your equation.

\(A=3.14(5.8)^{2}\)

\(A = 105.6296...\)

Round to the nearest tenth.

\(A = 105.6\ m^{2}\)

Temperature is a variable that uses (2) the scale interval and, according to physical theory, represents in the numerical form how hot or cold something is.

The physical concept of temperature indicates in numerical form how hot or cold something is.

A thermometer is used to determine temperature.

One variable that makes use of the scale interval is temperature.

Thermometers are calibrated using a variety of temperature scales, which historically defined distinct reference points and thermometric substances.

The most popular scales are the Celsius scale, sometimes known as centigrade, with the unit symbol °C, the Fahrenheit scale (°F), and the Kelvin scale (K), with the latter being mostly used for scientific purposes.

One of the seven base units in the International System of Units is the kelvin (SI). The lowest point on the thermodynamic temperature scale is absolute zero, or zero Kelvin, or 273.15 °C.

Therefore, the temperature is a variable that uses (2) the scale interval and, according to physical theory, represents in the numerical form how hot or cold something is.

Know more about Temperature here:

https://brainly.com/question/24746268

#SPJ4

Answer:

the answer is 5

Step-by-step explanation:

Answer: y=5

Step-by-step explanation: since y=5, y+5=10, or a different way of saying it is 5+5=10

If I Helped, Please Mark Me As Brainliest, Have A Great Day :D

The finite correction factor is used in the calculation of standard deviation when the ratio of sample size to population size is less than 0.05. For ratios greater than or equal to 0.05, the finite correction factor is not necessary.

When calculating the standard deviation of the sample mean or the standard deviation of a population, the finite correction factor is used to adjust for potential biases that can arise when the sample size is relatively large compared to the population size.

The finite correction factor takes into account the impact of sampling without replacement, meaning that once an item is selected from the population for inclusion in the sample, it cannot be selected again. This can introduce some degree of variability in the sample statistics, especially when the sample size is a large proportion of the population.

The general rule of thumb is that if the ratio of the sample size (n) to the population size (N) is less than 0.05 (or equivalently, n/N < 0.05), the finite correction factor should be applied. This suggests that the sample is small enough compared to the population that the impact of sampling without replacement is negligible.

On the other hand, if the ratio of n/N is greater than or equal to 0.05 (or n/N ≥ 0.05), the finite correction factor can be safely ignored because the sample size is relatively large compared to the population, and the impact of sampling without replacement is considered minimal.

In summary, the finite correction factor should be used when n/N < 0.05, and the correct answer to the initial question is option a. less than 0.05.

To learn more about standard deviation  Click Here: brainly.com/question/29115611

#SPJ11

Answer:

1\5 of 2 litres is 400 ml.

Step-by-step explanation:

Hope this helps!!!

The statement a base class cannot contain a pointer to one of its derived classes is false because a base class can indeed contain a pointer to one of its derived classes.

In object-oriented programming, a base class can have a pointer to one of its derived classes. This is known as upcasting or polymorphism. Upcasting allows for the flexibility of treating derived class objects as instances of the base class.

By using pointers, a base class can refer to derived class objects and access their member functions and variables. This enables the base class to work with different derived classes without needing to know their specific types.

Pointers to derived classes can be stored in base class member variables or passed as function parameters. This allows for dynamic binding and the ability to invoke overridden functions based on the actual derived class type at runtime.

This concept is fundamental to achieving polymorphism and code reusability in object-oriented programming languages like C++ and Java. It facilitates the implementation of inheritance hierarchies and the ability to work with objects of different derived classes through a common base class interface.

To know more about base class, refer here:
https://brainly.com/question/31667002
#SPJ11

Answer:

1/4

Step-by-step explanation:

Calculate the frames of each month:

January = 350

February = 100

March = 250

April = 300

Solve

\(\frac{March}{Total} = \frac{250}{350 + 100 + 250 + 300} = \frac{250}{1000}\)

Simplify

\(\frac{250}{1000} = \frac{25}{100}= \frac{1}{4}\)

To find:

Determine whether the relation is a function and find domain and range.

Solution:

A relation can be identified as a function if each element in domain has only one image in the range of the function.

The first function is shown by a graph. Here, each x-value has a different y-value. So, the given relation is a function.

The domain of the first function is

The range of the first function is

In the second function, -2 has two images that are (0, 3). So, it is not a function.

The domain is (-4, -2, 1, 2) and the range is (-1, 0, 2, 3).

The MGF of Y, the sum of n independent exponential random variables, is (1 / (1 - λt))^n. Differentiating the MGF yields E(Y), E(Y^2), and Var(Y). Comparing the MGF of Y with an exponential MGF proves that Y does not have an exponential distribution.

(a) The MGF of an exponential random variable with parameter λ is given by M_X(t) = 1 / (1 - λt), where t is the argument of the MGF. Using this MGF, we can find the MGF of Y, denoted as M_Y(t), by taking the product of the MGFs of the individual exponential random variables. Therefore, M_Y(t) = (M_X(t))^n = (1 / (1 - λt))^n.

(b) To find E(Y), E(Y^2), and Var(Y), we can differentiate the MGF of Y with respect to t and evaluate it at t = 0. The first derivative gives the expected value E(Y), the second derivative gives E(Y^2), and the difference between the second derivative and the square of the first derivative gives Var(Y).

(c) To prove that Y does not have an exponential distribution, we can compare its MGF with the MGF of an exponential random variable. If the MGFs do not match, it implies that the distributions are different. In this case, the MGF of Y, obtained in part (a), is different from the MGF of an exponential random variable, indicating that Y does not follow an exponential distribution.

By using the moment generating function, we can derive the moments of Y and show that it does not have an exponential distribution. This demonstrates the versatility and power of moment generating functions in analyzing the properties of random variables.

Learn more about moment generating functions here:

https://brainly.com/question/30763700

#SPJ11

Answer:

Easy. Just move each point of the triangle three units right and one down. Then connect them and label them correspondingly as A' B' and C' (where the A point was moved to label A' for example).

Step-by-step explanation:

i know bc i know trust me

The correct logarithm form is: a. log5 125 = 3

Question is about finding the logarithm form of 5³ = 125 using the given options.

The correct logarithm form is:

a. log5 125 = 3

Here's the step-by-step explanation:

1. The exponential form is given as 5³= 125.
2. To convert it to logarithm form, you have to express it as log(base) (argument) = exponent.
3. In this case, the base is 5, the argument is 125, and the exponent is 3.
4. Therefore, the logarithm form is log5 125 = 3.

To learn more about logarithm

https://brainly.com/question/12603491

#SPJ11

The steps to evaluate an exponential expression include:

First, you need to identify the base which is the number being raised to a power, and the exponent is the power to which the base is being raised. Then replace this base with the value that is needed to be used.

Use this exponent such that you can find out the number of times the base will multiply itself and then do the multiplication and simplify the expression.

Find out more on exponential expressions at https://brainly.com/question/5085217

#SPJ1

The "first" fοr bοth sides in the skies οver Kοrea was air-tο-air cοmbat by pursuit aircraft. Thus, option d. is correct.

During the cοnflict in Kοrea, air-tο-air cοmbat by pursuit aircraft marked a significant develοpment fοr bοth sides. This refers tο engagements between fighter aircraft frοm οppοsing fοrces in aerial warfare. It represented a new dimensiοn οf warfare as aircraft were deplοyed tο engage and shοοt dοwn enemy planes.

Air-tο-air cοmbat intrοduced a dynamic and intense aspect tο the cοnflict, as pilοts frοm different natiοns engaged in dοgfights tο gain air superiοrity. It invοlved tactics such as aerial maneuvers, target tracking, and the use οf weapοnry tο shοοt dοwn enemy aircraft.

This develοpment shοwcased the evοlving rοle and impοrtance οf fighter jets in mοdern warfare. It highlighted the significance οf air superiοrity and the need tο cοntrοl the skies tο gain a strategic advantage. Air-tο-air cοmbat played a crucial rοle in shaping the cοurse οf the Kοrean War and demοnstrated the increasing reliance οn aerial capabilities in military οperatiοns.

Learn more about pursuit aircraft

https://brainly.com/question/32264555

#SPJ4

The correct statements regarding the function are:

I and II only.

The functions models the value of the furniture after x years, showing exponential decrease. We have that:

Hence statements I and II are correct.

More can be learned about functions at https://brainly.com/question/24808124

#SPJ1

Answer:

l and lll only

Step-by-step explanation:

just did it

I don’t know if you’re doing inequalities but if you are it would be 6(>)-7

The false statement about correlation is option a: "correlation is also known as the coefficient of determination." The coefficient of determination is actually a related concept, but it is not synonymous with correlation.

Correlation measures the strength and direction of the linear relationship between two variables. It quantifies the degree to which changes in one variable are associated with changes in another variable. Correlation is denoted by the correlation coefficient, often represented by the symbol "r."

The correlation coefficient ranges from -1 to 1, with -1 indicating a perfect negative correlation, 1 indicating a perfect positive correlation, and 0 indicating no correlation.

Option b is true: correlation does not depend on the units of measurement. Correlation is a unitless measure, meaning it remains the same regardless of the scale or units of the variables being analyzed. This property allows for comparisons between variables with different units, making it a valuable tool in statistical analysis.

Option c is also true: correlation is always between -1 and 1. The correlation coefficient is bound by these values, representing the extent to which the variables are linearly related. A value of -1 indicates a perfect negative correlation, 0 represents no correlation, and 1 indicates a perfect positive correlation.

Option d is true as well: correlation between two events does not prove one event is causing another. Correlation alone does not establish a cause-and-effect relationship. It only indicates the presence and strength of a statistical association between variables.

Causation requires further investigation and analysis, considering other factors such as temporal order, potential confounding variables, and the plausibility of a causal mechanism.

In conclusion, option a is the false statement. Correlation is not synonymous with the coefficient of determination, which is a measure used in regression analysis to explain the proportion of the dependent variable's variance explained by the independent variables.

To know more about correlation refer here:

https://brainly.com/question/30116167?#

#SPJ11

Answer:

\( \frac{7}{4} \div \frac{3}{8} \\ = \frac{7}{4} \times \frac{8}{3} \\ = \frac{7 \times 2}{3} \\ = \frac{14}{3} \)

Answer:

30240 arrangements

Step-by-step explanation:

9!/(2!×3!)

Answer:

2

Step-by-step explanation:

2 lines for each letter is the maximum.

They could be intersecting lines

m_BAC + m2 ACB 85

m.BAC MACB 95

95°

m..BACA BC 85

m. BACIMBC 95

B

The first function is continuous everywhere in the complex plane. The second function is continuous everywhere except at z=0. The third function is continuous everywhere except at z=-2 and z=1.

The function z⁴ - 9z² + iz -2 is continuous everywhere in the complex plane.

The function z + 1/z² + 1 is continuous everywhere in the complex plane except at z = 0.

The function z² + 6x + 5/z² + 3z + 2 is continuous everywhere in the complex plane except at z = -2 and z = -1/3.

The function z⁴ + 1/Z² + 2z + 2 is continuous everywhere in the complex plane except at z = 0.

The function x + iy/x - 1 is continuous on the complex plane excluding the negative x-axis.

The function x + iy/|z| - 1 is continuous everywhere in the complex plane except at z = 0.

Learn more about calculus here: brainly.com/question/6581270

#SPJ4

Complete question is in the image attached below

So the z scores for each raw score are:
a. -4
b. 0
c. -2.33
d. 2
e. -3.33


To calculate the z score for each raw score, we'll use the formula:

z = (x - μ) / σ

where:
- z is the z score
- x is the raw score
- μ is the mean
- σ is the standard deviation

Using the given values of μ = 10 and σ = 3, we can calculate the z scores for each raw score:

a. -2:
z = (-2 - 10) / 3
z = -4

b. 10:
z = (10 - 10) / 3
z = 0

c. 3:
z = (3 - 10) / 3
z = -2.33

d. 16:
z = (16 - 10) / 3
z = 2

e. 0:
z = (0 - 10) / 3
z = -3.33

So the z scores for each raw score are:
a. -4
b. 0
c. -2.33
d. 2
e. -3.33

learn more about standard deviation

https://brainly.com/question/23907081

#SPJ11