Find the area of the triangle

On solving the provided question, we can say that by addition T = 60 + 42 / 2 = 51

The other three fundamental operations are subtraction, multiplication, and division. Addition is one of the four basic operations. The sum or total of these combined values is obtained by adding two integers. The process of merging two or more numbers is known as addition in mathematics. Numbers are added together to form addends, and the outcome of this operation, or the final response, is referred to as the sum. This is one of the crucial mathematical operations we employ on a regular basis. You would add numbers in a variety of circumstances. Combining two or more numbers is the foundation of addition. You can learn the fundamentals of addition if you can count.

value is   = T = 51 inches

by addition

T = 60 + 42 / 2 = 51

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p(x)= (x-4)²-(x-6)². ... 4X - 20 = 0 => X = 20/4 => X= 5.

Answer:

h < -13/3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define Inequality

h - 8 > 4h + 5

Step 2: Solve for h

Here we see that any value h smaller than -13/3 would work as a solution to the equation.

The operation that Amjed should perform to determine the relative frequency of a person over 30 years old who prefers to ride a mountain bike is given as follows:

2) Divide 25 by 462.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes, hence it is the same as a relative frequency.

The total number of people is given as follows:

58 + 164 + 215 + 25 = 462.

Out of these people, 25 prefer mountain bike, hence the relative frequency is given as follows:

25/462.

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Answer:

  (b)  x^15/y^5

Step-by-step explanation:

The exponent outside parentheses multiplies all of the exponents inside parentheses.

  (x^3/y)^5 = x^(3·5)/y^(1·5) = x^15/y^5

______

Additional comment

When it comes to exponents, I find it useful to remember that an exponent signifies repeated multiplication: x·x·x = x³. The exponent outside parentheses has the same meaning:

  (x³)² = (x·x·x)·(x·x·x) = x⁶

The rule is summarized by ...

  (a^b)^c = a^(bc)

The Stokes approximation and Oseen approximation are methods used to determine the motion of fluid particles in a fluid dynamics problem.

The Stokes approximation applies to slow-moving fluid particles, where viscous forces are dominant, while the Oseen approximation applies to higher velocities, where convective forces are dominant..Oseen approximation: In this approximation, the equations governing the motion of fluid particles account for the convective forces in addition to the viscous forces.

This approximation is valid at moderate Reynolds numbers and is used when the viscous forces are still strong but not as dominant as in the Stokes approximation. The velocity of the fluid decreases less rapidly than in the Stokes approximation, and the approximation is valid for Reynolds numbers greater than one .The difference between the results of the two approximations lies in their range of applicability and the accuracy of their results.

The significance of the difference between the two approximations lies in their application to real-world problems. In fluid dynamics, it is essential to have accurate approximations to predict the behavior of fluid particles accurately. Therefore, choosing the appropriate approximation for the specific problem is critical. knowing the range of applicability of each approximation can help in determining the parameters for the problem.

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Answer:

\(162\sqrt{3}\)

Step-by-step explanation:

The equation for finding the area of a hexagon with a side length is

\((s^23\sqrt{3} )/2\)

insert \(6\sqrt{3}\)

and you are left with 162\sqrt{3}

Hope that helps :)

Answer:

\( \displaystyle E)\: 162 \sqrt{3} \)

Step-by-step explanation:

we are given a side a polygon

and said to figure out the area

recall the formula of regular polygon

\( \displaystyle \: \frac{ {na}^{2} }{4} \cot \left( \frac{ {180}^{ \circ} }{n} \right) \)

where a represents the length of a side

and n represents the number of sides

the given shape has 6 sides

and has a length of \(\displaystyle 6\sqrt{3}\)

so our n is 6 and a is 6√3

substitute the value of n and a:

\( \displaystyle \: \frac{ {6 \cdot \:( 6 \sqrt{3} })^{2} }{4} \cot \left( \frac{ {180}^{ \circ} }{6} \right) \)

reduce fraction:

\( \displaystyle \: \frac{ {6 \cdot \:( 6 \sqrt{3} })^{2} }{4} \cot \left( \frac{ { \cancel{180}^{ \circ}} ^{ {30}^{ \circ} } }{ \cancel{6 \: } } \right) \)

\( \displaystyle \: \frac{6 \cdot \: (6 \sqrt{ {3} } {)}^{2} }{4} \cot( {30}^{ \circ} ) \)

simplify square:

\( \displaystyle \: \frac{6 \cdot \: 36 \cdot \: 3 }{4} \cot( {30}^{ \circ} ) \)

reduce fraction:

\( \displaystyle \: \frac{6 \cdot \: \cancel{36} \: ^{9} \cdot \: 3 }{ \cancel{ 4 \: } } \cot( {30}^{ \circ} ) \)

\( \displaystyle \: 6 \cdot \: 9 \cdot \: 3 \cot( {30}^{ \circ} ) \)

simplify multiplication:

\( \displaystyle \: 162\cot( {30}^{ \circ} ) \)

recall unit circle:

\( \displaystyle \: 162 \sqrt{3} \)

hence, our answer is E

The figure is composed by 2 rectangles of height: 2 m and width: 1 m, and 1 rectangle of height: 4m and width: 5 m.

The area of a rectangle is computed as follows:

A = width*height

The area of the smaller rectangles are:

A1 = 2*1 = 2 square meters

The area of the bigger rectangle is:

A2 = 5*4 = 20 square meters

Then, the area of the composite figure is:

2A1 + A2 = 2*2 + 20 = 24 square meters

Answer:

Step-by-step explanation:

\(\frac{3}{x+3}-\frac{4}{x-3}=\frac{3*(x-3)}{(x+3)(x-3)}-\frac{4(x+3)}{(x-3)(x+3)}\\\\=\frac{3*x-3*3}{(x+3)(x-3)}-\frac{4*x+4*3}{(x+3)(x-3)}\\\\=\frac{3x-9}{x^{2}-3^{2}}-\frac{4x+12}{x^{2}-3^{2}}\\\\=\frac{3x - 9 -(4x + 12)}{x^{2}-3^{2}}\\\\=\frac{3x-9-4x-12}{x^{2}-9}\\\\=\frac{-x-21}{x^{2}-9}\\\\\)

\(\frac{3}{x+3}-\frac{4}{x-3}=\frac{5x}{x^{2}-9}\\\\\frac{-x-21}{x^{2}-9}=\frac{5x}{x^{2}-9}\\\\-x-21=\frac{5x}{(x^{2}-9)}*(x^{2}-9)\\\)

-x - 21 = 5x

Add 'x' to both sides

-x -21 +x = 5x + x

        -21 = 6x

6x = -21

x = -21/6

   = -7/2

x = -3.5

The temperature of the soda after 20 minutes is approximately -18 degrees Celsius. To find the initial temperature of the soda, we can evaluate the function T(x) at x = 0.

Substitute x = 0 into the function T(x):

T(0) = -19 + 39e^(-0.45*0).

Simplify the expression:

T(0) = -19 + 39e^0.

Since e^0 equals 1, the expression simplifies to:

T(0) = -19 + 39.

Calculate the sum:

T(0) = 20.

Therefore, the initial temperature of the soda is 20 degrees Celsius.

To find the temperature of the soda after 20 minutes, we substitute x = 20 into the function T(x):

Substitute x = 20 into the function T(x):

T(20) = -19 + 39e^(-0.45*20).

Simplify the expression:

T(20) = -19 + 39e^(-9).

Use a calculator to evaluate the exponential term:

T(20) = -19 + 39 * 0.00012341.

Calculate the sum:

T(20) ≈ -19 + 0.00480599.

Round the answer to the nearest degree:

T(20) ≈ -19 + 1.

Therefore, the temperature of the soda after 20 minutes is approximately -18 degrees Celsius.

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INCOMPLETE QUESTION

A can of soda is placed inside a cooler. As the soda cools, its temperature Tx in degrees Celsius is given by the following function, where x is the number of minutes since the can was placed in the cooler. T(x)= -19 +39e-0.45x. Find the initial temperature of the soda and its temperature after 20 minutes. Round your answers to the nearest degree as necessary.

Answer:

Step-by-step explanation:

Hmm I’ll try.

The probability density function (PDF) for a uniform distribution ranging between 2 and 6 is 0.25 i.e., the correct option is D.

In a uniform distribution, all values within the range have an equal probability of occurring. The PDF is used to describe the distribution of probabilities over the range. For a uniform distribution ranging between 2 and 6, the PDF would be a horizontal line with a height of 1/4 (or 0.25) between 2 and 6, and zero outside that range. However, at any specific point within the range, the PDF does not have a defined value.

The reason for this is that the PDF for a continuous random variable in a uniform distribution is defined as a constant value divided by the width of the range. Since the range for this uniform distribution is 4 (from 2 to 6), the constant value would be 1/4.

However, at any specific point within the range, the width of the range becomes zero, resulting in an undefined value for the PDF.

Therefore, the PDF for a uniform distribution ranging between 2 and 6 is indeed 0.25, as it provides a constant probability density over the entire range.

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i do know the answewr and it is b because the irrational product is negative 6

Given:

Total amount Jose has =  $75

Registration fee = $15

Additional fee = $6 for each class

To find:

Number of classes that Jose can afford.

Solution:

Let x be the number of classes that Jose can afford.

Additional fee for 1 class = $6

Additional fee for x classes = $6x

Total fee = Registration fee + Additional fee for x classes

\(75=15+6x\)

\(75-15=6x\)

\(60=6x\)

Divide both sides by 6.

\(10=x\)

Therefore, the required equation is \(75=15+6x\) and the number of classes he can afford is 10.

In this case, the minimum sampling rate is determined by the frequency of the cosine term, which is 850π. Therefore, the minimum sampling rate is 1700 samples per second.

The minimum sampling rate required to avoid aliasing for the given signal is twice the highest frequency component present in the signal, which is determined by the angular frequency of the cosine term and the sine term.

In order to avoid aliasing, the sampling rate must be at least twice the highest frequency component present in the signal. The frequency of a sinusoidal signal is determined by its angular frequency, which is given by 2πf, where f is the frequency in hertz.

For the given signal, we have a cosine term with a frequency of 850π and a sine term with a frequency of 1400π. The highest frequency component is determined by the cosine term, which has a frequency of 850π. Therefore, the minimum sampling rate required is twice this frequency, which is 1700π samples per second.

To convert this to a more standard unit, we can divide by 2π to get the minimum sampling rate of 850 samples per second. Thus, in order to accurately represent the given signal without aliasing, a minimum sampling rate of 850 samples per second is required.

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A , B and C will be 3, 1/9, and -4/3 respectively.

Summation is to add or subtract any two or more terms by doing that operation we will get a new result which could be big or small depending upon the number.

A summation, which is the result of adding two or more numbers or quantities, is also known as a sum. A summation always has an integer number of terms.

Given the summation

A = 3

B + C + A + B + B = 2 ⇒ 3B + A + C = 2

By substituting

3B + C = -1

Now,

C + A + C + A + C = 2

3C + 2A = 2

By substittuing

C = -4/3.

Again substituting

B = 1/9

Hence the digit ABC will be 3, 1/9, and -4/3 respectively.

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Zack should use a line with one arrowhead to map an abandoned line of reasoning.

A line with one arrowhead is commonly used in diagrams to represent the direction of a process or flow of information. In the case of mapping an abandoned line of reasoning, the line can be used to show the original train of thought that was pursued but later abandoned.

The arrowhead can indicate the point at which the reasoning was abandoned or diverted. Therefore, using a line with one arrowhead would be the most appropriate shape for Zack to use. The other shapes listed (orange oval, green rectangle, red) do not provide a clear representation of a line of reasoning and would not be suitable for this purpose.

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Answer:

y = - \(\frac{1}{2}\) x - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

y + 4 = - \(\frac{1}{2}\) (x - 2) ← distribute

y + 4 = - \(\frac{1}{2}\) x + 1 ( subtract 4 from both sides )

y = - \(\frac{1}{2}\) x - 3 ← in slope- intercept form

If the political science major wants to compare the salaries of Democrats and Republicans, they can conduct a survey by asking 31 people from each group about their salaries.

What is comparison?

Comparison is the act of examining the similarities and differences between two or more objects, individuals, concepts, or groups.

Assuming that the distribution of salaries within each group follows a normal distribution, they can then analyze the data to determine if there is a significant difference in the salaries between the two groups.

Here are some steps they could take:

Collect Data: Obtain salary information from 31 Democrats and 31 Republicans. Ensure that the data collected is accurate and representative of the respective groups.

Data Analysis: Calculate descriptive statistics for each group, including measures such as the mean, standard deviation, and median. These statistics will provide an overview of the salary distribution within each group.

Hypothesis Testing: Perform a statistical hypothesis test to determine if there is a significant difference in salaries between Democrats and Republicans. A common test for this scenario is the independent samples t-test. This test compares the means of two independent groups to determine if they are significantly different from each other.

Interpretation: Based on the results of the hypothesis test, the political science major can assess whether there is a significant difference in salaries between Democrats and Republicans. If the p-value associated with the t-test is below a predetermined significance level (e.g., 0.05), it suggests that there is a significant difference in salaries between the two groups. Conversely, if the p-value is above the significance level, it indicates that there is not enough evidence to conclude a significant difference in salaries.

It's important to note that the validity of the comparison depends on the sample's representativeness, the survey's methodology, and the assumptions made, such as the normal distribution assumption

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The survey mode that is not mentioned in the text is "puter-administered." The correct option is b: puter-administered.

The following is not a survey mode mentioned in the text: a.person-administered. b: puter-administered. c.self-administered. d.mixed-mode.

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When two angles in a plane share a vertex and a side but no common interior points, they are called adjacent angles

The terms adjacent, neighboring, contiguous, and juxtaposed all denote being close by. Although adjacent might indicate a touch or not, it is usually assumed that there is nothing of the same sort in between. a home with a garage close by. Adjoining clearly means coming together and touching at a certain location or line.

When two angles have a similar vertex and side, they are referred to as neighboring angles. The vertex of an angle is the point at which the rays that make up its sides come to a stop. When adjacent angles have the same vertex and side, they might be a complimentary angle or supplemental angle.

Thus, adjacent angles are two angles that lie in the same plane and have a common vertex and a common side but have no common interior points.

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Answer:

m = 5 and c = -2

Step-by-step explanation:

\(let \: y = \sqrt{20} \times {10}^{ - 3} \times {10}^{5x} \\ be \: equation \: 1\)

Now

\(y = \sqrt{5} ( \sqrt{20} \times {10}^{ - 3} \times {10}^{5x} ) \\ y = \sqrt{100} \times {10}^{ - 3} \times {10}^{5x} \\ y = 10 \times {10}^{ - 3} \times {10}^{5x} \)

\(using \: rules \: of \: indices \: we \: get \\ y = {10}^{1 - 3 + 5x} \\ y = {10}^{ - 2 + 5x} \\ \)

\(now \: take \: log \: of \: both \: sides \: and \: use \: laws \: of \: logarithm \\ we \: get \\ \)

\( log(y) = log( {10}^{ - 2 + 5x} ) \\ log(y) = ( - 2 + 5x) log(10) \\ log(y) = - 2 + 5x \\ log(y) - 5x = - 2 \\ \\ comparing \: this \: to \: \\ log(y) - mx = c \\ \\ we \: get \: m \: = 5 \: and \: c = - 2\)

The graph of the function is added as an attachment

From the question, we have the following parameters that can be used in our computation:

f(x) = 4x + 17

f(x) = -2

Also, we have the interval to be

f(x) = 4x + 17 for x <-3

f(x) = -2 for x > 0

The above expression is a piecewise function

Next, we plot the graph and the intervals

See attachment for the graph of the equations

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Answer:

Step-by-step explanation:

450 MIN DIVIDED BY 7 DAYS = 64.285714

ROUND TO 64 MIN

ANS: THEREFORE HUNTER PRACTICES FOR APROX 64 MIN / DAY

The number of minutes Hunter practices basketball for each practice is given by A = 90 minutes

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

If Hunter practices five days a week and a minimum of 450 minutes per week, then the total practice time for the week is at least 5 * 450 = 2250 minutes.

To find the average practice time per day, we can divide the total practice time for the week by the number of days:

The average practice time per day = total practice time for the week / number of days

The average practice time per day = 2250 / 5 = 450 minutes

Hence , on average, each basketball practice is 450 minutes/5 = 90 minutes

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Answer:

HELP YOU NOY

Step-by-stHEep explanation:

bfbfbbgbrhgbrbg

Answer:

C?

Step-by-step explanation:

I could be wrong but I think that's the answer

Answer:

I'm not sure but the answer i have is C

Answer:

x=4

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

Replace X with the numbers given and see which ones work