What is the area of a sector with a central angle of 160 degrees and a diameter of 5.8 m?

Answer:

5√3

Step-by-step explanation:

tan30= 5/z

1/√3= 5/z

z= 5√3

Step-by-step explanation:

if I understand the typing correctly, the question is to multiply

5p²q with -4p³q⁴

I will continue with that assumption :

5p²q × -4p³q⁴ = -5p²q4p³q⁴ = -5×4p²qp³q⁴ =

= -20p²qp³q⁴ = -20p²p³qq⁴ =

= -20×p^(2+3)×q^(1+4) = -20p⁵q⁵

the multiplication of multiplications allows us through the commutative law to simply "connect" both into one long sequence of multiplications.

and inside that sequence of multiplications we can move things around and then combine elements (like exponents of the same base term - remember, multiplying with exponents means adding the exponents).

______________________________

 - When solving problems like these (One-Step Equations,) to get x alone you must do the opposite of what you see.

- In this situation we have a positive 3. So to get rid of both numbers you do the opposite: Opposite of +3 is -3. So you subtract 3 from each number.

______________________________

Using the internet is an approach to let customers solve each other's problems.

The internet has provided numerous opportunities for individuals to interact with each other and share information, and customer service is no exception. Online customer service has become an essential aspect of businesses, with the internet providing a platform for companies to interact with customers online through a variety of channels such as social media, email, and chatbots.

This approach not only improves the customer experience but also reduces the workload of customer service professionals. In addition, it is a cost-effective solution for companies that want to provide excellent customer service without increasing the number of customer service specialists. Overall, using the internet as a means of enabling customers to solve each other's problems is an excellent approach for businesses that want to improve their customer service and provide a more seamless customer experience.

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The equation y² - x⁵ = -7 at x = 2 and y = 5, the value of dy/dx is 8.

To find dy/dx for the equation y² - x⁵ = -7 at x = 2, y = 5, follow these steps:

1. Differentiate both sides of the equation with respect to x using implicit differentiation.

Differentiating y² with respect to x, we get 2y(dy/dx).
Differentiating -x⁵ with respect to x, we get -5x⁴.

So, we have: 2y(dy/dx) - 5x⁴ = 0.

2. Plug in the given values of x and y into the differentiated equation.

Substitute x = 2 and y = 5: 2(5)(dy/dx) - 5(2⁴) = 0.

3. Solve for dy/dx.

First, simplify the equation: 10(dy/dx) - 80 = 0.

Next, add 80 to both sides: 10(dy/dx) = 80.

Finally, divide both sides by 10 to get: dy/dx = 8.

So, for the equation y² - x⁵ = -7 at x = 2 and y = 5, the value of dy/dx is 8.

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Answer:

8.06

Explanation:

For this question, you have to use the distance formula

Answer:

8.06

Step-by-step explanation:

To find the distance between two points, you would use the distance formula.

The distance formula is:

\(\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}}\)

where (x₁, y₁) and (x₂, y₂) are two points.

Lets plug in the points (3, -1) (x₁, y₁) for  (7, -8) for (x₂, y₂):

\(\sqrt{(7-3)^{2}+((-8)-(-1))^{2}}\)

= \(\sqrt{4^{2}+(-7)^{2}}\)

= \(\sqrt{16+49}\)

= \(\sqrt{65}\)

≈ 8.06225775

Rounded to the nearest hundredth, it is 8.06.

So the distance between the points B and C rounded to the nearest hundredth is 8.06.

I hope you find my answer helpful.

The factor of the expression will be (x + 1) and (x + 1). Then the product of two binomials will be (x + 1) and (x + 1).

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The expression is given below.

⇒ x² + 2x + 1

Factorize the expression, then the factor of the expression will be

⇒ x² + x +  x + 1

⇒ x(x + 1)x + 1(x + 1)

⇒ (x + 1)(x + 1)

⇒ (x + 1)²

The product of two binomials will be (x + 1) and (x + 1).

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Answer:

3.13333333333

Step-by-step explanation:

It is a recurring so u could write it as 3.13 with a dot on top of the last three hope it helps :D

The correct order of the steps in the scientific method is: observation, hypothesis, experiment, result, and conclusion

The correct order of the steps in the scientific method is as follows:

e. Observation - Start by making observations or gathering information about a particular phenomenon or problem. This involves carefully observing and noting relevant details and patterns.

b. Hypothesis - Based on the observations, formulate a hypothesis, which is a proposed explanation or prediction that can be tested through experimentation.

c. Experiment - Design and conduct experiments or investigations to test the hypothesis. This step involves carefully controlling variables, collecting data, and performing measurements.

a. Result - Collect and analyze the data obtained from the experiments or investigations. This analysis helps determine if the results support or reject the hypothesis.

d. Conclusion - Draw a conclusion based on the analysis of the data. Evaluate whether the results support the hypothesis and discuss the implications and significance of the findings. The conclusion may also involve suggesting further research or revisions to the hypothesis.

The scientific method is a systematic approach used in scientific inquiry to investigate and understand the natural world. It allows researchers to gather evidence, test hypotheses, and draw reliable conclusions based on empirical data.

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The expression for the number of boy cousins will be f – 4.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Marcella has 4 fewer male cousins than female cousins.

Let f represent the number of female cousins.

Then the expression for the number of boy cousins will be

⇒ f – 4

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(y2-y1)/(x2-x1)

3-2=1

4-2=2

slope: 1/2

y-int: 1

y=1/2x+1

Answer:

Slope=1/2, y-intercept=(0,1)

Step-by-step explanation:

Slope is written in the format of Y/X. If you look at the pattern, you'll notice that every time Y goes up 1, X goes up 2.

So, 1/2.

The y-intercept is where the line crosses the y-axis and is therefore when X is equal to 0. Following the pattern, this would be when Y is equal to 1.

(0,1)

Answer:

If it is warm outside, then it is summer

Step-by-step explanation:

To find the converse, interchange the hypothesis and the conclusion

"If it is summer, then it is warm outside"

If it is warm outside, then it is summer

Answer:

A. If it is warm outside, then it is summer

Step-by-step explanation:

statement "If it is summer, then it is warm outside" : warm=summer

A. If it is warm outside, then it is summer. : warm = summer ✓

B. If it is not warm outside, then it is summer. : not warm = summer x

C. If it is warm outside, then it is not summer. : warm =not  summer x

D. If it is not warm outside, then it is not summer. : not warm = not summer x

Answer

196

Step-by-step explanation:

Answer:

The question is incomplete, here is the complete question.

Carmen used a random number generator to simulate a survey of how many children live in the households in her town. There are 1,346 unique addresses in her town with numbers ranging from zero to five children. The results of 50 randomly generated households are shown below. Children in 50 Households Number of Children Number of Households 0 5 1 11 2 13 3 10 4 9 5 2 Using a proportion, what can you infer about the number of households in her town that have more than three children?

A) About 242 households have more than three children.

B) About 269 households have more than three children.

C) About 296 households have more than three children.

D) About 565 households have more than three children.

Step-by-step explanation:

The given sample size is 50

The number of households with more than three children = 9+2

= 11

The proportion of household where more than three children are present is calculated by:

Household with a greater number of children/sample size

= 11/50

The original household size= 1,346

Therefore, the amount of household with children greater than 3 is:

= 1346×11/50

= 1346× 0.22

= 296.12

= 296

Thus, about 296 households have more than three children.

The maximum value of the function f ( x ) = 2

The minimum value of function f ( x ) = - ( 9/8 )

The difference between the maximum and minimum values of f ( x ) = 25/8

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 f ( x )

The value of f ( x ) =  cos (2x) + cos x   be equation (1)

On simplifying the equation , we get

To maximize f ( x ) = cos ( 2x ) + cos x , differentiate it with respect to x

So ,

f' ( x ) = -2 sins ( 2x ) - sinx

And , For the function to achieve a minimum value , f′(x) should be 0

So , Substituting the values in the equation , we get

-2 sins ( 2x ) - sinx = 0

Adding sinx on both sides of the equation , we get

-2 sins ( 2x ) = sin x

-2 ( 2 sin x cos x ) = sin x

Divide by -4 on both sides of the equation , we get

sin x cos x = sin x / 4

Divide by sin x on both sides of the equation , we get

cos x = ( -1/4 )

Hence minimum value is f ( x ) = 2 x ( 1/16 ) - ( 1/4 ) - 1

The minimum value of f ( x )= - 9/8

And , the function is maximum at cosx = 1

So , f ( x ) = 2 x 1 - 1 + 1 = 2

The maximum value of f ( x )= 2

So , the difference between the maximum and minimum values of f ( x ) =

Maximum value - Minimum value = ( 2 - ( -9 / 8 ) )

Maximum value - Minimum value = ( 16 + 9 ) / 8

Maximum value - Minimum value = 25/8

Hence , the difference between the maximum and minimum values of function  f ( x ) is = 25/8

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Complete Question

The area of grandiose rectangular painting is 56 in.² the width of the painting is 7 inches what is the diagonal of the painting

Answer:

The diagonal of the rectangular painting is  \(z = 10.63 \ m\)

Step-by-step explanation:

The diagram for this question is shown on the first uploaded image

From the question we are told that  

    The area is \(A = 56 \ in^2\)

    The width of the painting is \(w = 7 \ in\)

Generally the area of the rectangle is mathematically represented as

          \(A = l * w\)

where \(l\) the length which is mathematically evaluated as

          \(l = \frac{A}{w}\)

substituting value  

         \(l = \frac{56}{7}\)

          \(l = 8 \ in\)

According Pythagoras theorem

     \(z ^ 2 = l^2 +w^2\)

Where z is the diagonal of the rectangular painting

  Now substituting values

      \(z = \sqrt{7^2 + 8^2}\)

      \(z = 10.63 \ m\)

Answer:

72.588

or rounded 72.6

Step-by-step explanation:

Answer:

The perimeter of rectangle ABCD can be calculated by adding up the lengths of its sides. Using the distance formula, we can find that AB has a length of 2 units, BC has a length of 2 units, CD has a length of 2 units, and AD has a length of 4 units. Therefore, the perimeter of rectangle ABCD is 10 units.

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Answer: I don't know the triangle if there n picture

Step-by-step explanation:

The inverse of f(x) = 11x - 8 include the following: C. \(f^{-1}(x) = \frac{x+8}{11}\)

In Mathematics and Geometry, an inverse function simply refers to a type of function that is obtained by reversing the mathematical operation in a given function (f(x)).

In this exercise, you are required to determine the inverse of the function f(x). This ultimately implies that, we would have to swap (interchange) both the independent value (x-value) and dependent value (y-value) as follows;

f(x) = y = 11x - 8

x = 11y - 8

11y = x + 8

By dividing both sides of the equation by 11, we have:

y = x/11 + 8/11

f⁻¹(x) = (x + 8)/11

\(f^{-1}(x) = \frac{x+8}{11}\)

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Answer:

1.

1/16 or .0625

2.

8/15 or .53

3.

1/4 or .25

Step-by-step explanation:

hope it helps bro

When we would like to be 99% confident that our estimate is within 5% of the true population proportion. The sample size is large by 78795.

The number of individuals or observations included in research is referred to as the sample size. Usually, n is used to indicate this number. Two statistical characteristics are influenced by the sample size: 1) The accuracy of our estimations, and 2) The ability to draw inferences from the study.

Count the number of people (if known).

The confidence interval should be determined.

Establish the degree of trust.

Calculate the standard deviation (a standard deviation of 0.5 is a safe choice where the figure is unknown)

Create a Z-Score by converting the confidence level.

n = [2.8070/0.005]^2*(1/2)(1/2) = 78795 when rounded up

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Herefore, the plane was flying at a height of approximately 31680.30 feet or 6.00 miles when it passed over the George Washington Bridge.

a. To determine the height of the plane when it passed over the George Washington Bridge, we need to use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In this case, the height of the plane is the hypotenuse, and the distance from the bridge to the landing location is one of the other sides.

First, we need to convert the distance from miles to feet, as the height of the bridge is given in feet:

6 miles = 6 * 5280 feet = 31680 feet

Using the Pythagorean theorem, we have:

Height of plane = sqrt(212^2 + 31680^2) feet

Height of plane = 31680.30 feet (rounded to two decimal places)

To convert this height to miles, we divide by the number of feet in a mile:

Height of plane = 31680.30 / 5280 miles

Height of plane = 6.00 miles (rounded to two decimal places)

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Answer:

2.1875

Step-by-step explanation:

2 3/16 to decimal form is 2.1875.

The numbers that are in the range are:

\(\displaystyle\sf -3, -2, -1, 0, 1, 2\).

Answer:

Step-by-step explanation:

56%

A subclass refers to a class that can inherit properties of another class called a superclass. The subclass will have all the characteristics and behavior of the superclass, and it can be modified to meet the unique needs of a specific class. Therefore, if a program uses two classes, airplane, and jumbojet, then the most likely subclass is the jumbojet.

Suppose that the airplane is the superclass that will have all the characteristics and behavior of an airplane. On the other hand, the jumbojet will be the subclass that inherits the features of an airplane. As the subclass, the jumbojet can be modified to have additional features unique to it.

The inheritance concept in programming ensures that there is efficient use of code. It makes it easy to reuse code for creating new classes. When using inheritance, developers avoid copying and pasting code, which can lead to errors and repetition.

Suppose that the airplane and jumbojet are classes representing vehicles in a flight system.

Airplane is the superclass representing all the aircraft, while jumbojet is the subclass representing a specific type of airplane, which is a large passenger aircraft. Therefore, the jumbojet, being a specific type of airplane, is the most likely subclass.

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