work out the area of the semicircle with a radius of 18cm, take π to be 3.142 and write down all the digits given by the calculator

Answer:

0.95

Step-by-step explanation:

3.8 % of 25 is equal to 0.95.

To find 3.8 % of 25, we can calculate it using the following formula : Amount = ( Percentage / 100 ) * Base.

In this case, the percentage is 3.8 and the base is 25.

Using the formula , we have : Amount = ( 3.8 / 100 ) * 25.

First, we divide 3.8 by 100, which gives us 0.038. Then, we multiply 0.038 by 25 to find the amount.

Calculating, we have : Amount = 0.038 * 25 = 0.95.

Therefore, The value of 3.8 % of 25 is equal to 0.95.

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The highest point on the graph of the normal density curve is located at its mean represented by μ.

The highest point on the graph of the normal density curve is located at its mean. The normal density curve or the normal distribution is a bell-shaped curve that is symmetric about its mean. The mean of a normal distribution is the measure of the central location of its data and it is represented by μ. It is also the balancing point of the distribution. In a normal distribution, the standard deviation (σ) is the measure of how spread out the data is from its mean.

It is the square root of the variance and it determines the shape of the normal distribution. The normal distribution is an important probability distribution used in statistics because of its properties. It is commonly used to represent real-life variables such as height, weight, IQ scores, and test scores.

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Answer:

A=10178.76

Step-by-step explanation:

2 x π x 30 x 24 + 2 x π x 30² = 10178.7602

                                             = 10178.76

The complete statement is a Chi-square goodness of fit test is used to test the hypothesis that an observed frequency distribution fits (or conforms to) some claimed distribution.

The Chi-square goodness of fit test is known as a statistical hypothesis test that is used to determine whether a variable is likely to emerge from a specified distribution or not.

It is mostly used to evaluate whether sample data is a good representative of the total population.

Thus, the complete statement is a Chi-square goodness of fit test is used to test the hypothesis that an observed frequency distribution fits (or conforms to) some claimed distribution.

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Answer:

g(x)=8x+16 for x= -3, 0, and 8.

g(-3) = -8

g(0)= 16

g(8)= 80

Step-by-step explanation:

Step 1. Plugin the given numbers.

g(-3)= 8(-3) + 16

g(0)= 8(0) + 16

g(8)= 8(8) + 16

Step 2. Solve the equations.

g(-3)= -24 + 16   Multiplied -3 and 8.

g(-3)= -8             Added -24 and 16

g(0)= 0+16         Multiplied 0 and 8.

g(0)= 16             Added 16 and 0.

g(8)= 64+16      Multiplied 8 and 8.

g(8)= 80            Added 64 and 16.

The graph of f(x) = x^3 -6x^2 + 4x +1 hits 3 times to the x-axis

Hence, option (D) is the correct choice.

We have the function:

f(x) = x^3-6x^2+4x+1

The values of the variable in a function that cause the function to equal zero are known as the zeros of the function. The places on the x-axis where the graph crosses the x-axis are known as a function's zeros graphically. In other words, we may say that a function's zeros are the graph's x-intercepts.

The zeros of the function will be:

x^3-6x^2+4x+1 = 0

Since the last term is positive, so (x-1) will be the factor of the above equation.

Factorising, we will get,

(x-1)(x^2-5x-1)=x^3-6x^2+4x+1

So, one factor will be x = 1

Now solving the quadratic equation,

The roots will be: \(x^2 = \frac{( 5 \pm \sqrt 29)}{2}\)

So, the value of both roots will be: (x-5.19)(x+0.192)

Therefore, the graph will hit x-axis at these three points.

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Answer:

same 105° option D is correct

To make the best decision, John should Compare the two offers and choose the one through which he'd pay the least amount  of money overall

When making a purchase, there are certain things a rational human thinks about such as:

John should not take the more expensive offer but should take the cheaper one in order to save money. This can only happen if he compares both offers to see which is cheaper.

In conclusion, John should take the cheaper option.

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Answer:

This includes numbers that are not whole numbers (+ or -). For example, 6.79, 20,193.917017, 4/25, etc.

This Question was not written properly

Complete Question

Raymond and Rose were working with exponents.

Part A: Raymond claims that 5⁵ * 5² =5³ Rose argues that 5⁵ * 5² = 5⁷. Which one of them is correct? Use the properties of exponents to justify your answer.

Part B: Raymond claims that 7⁹/7⁵ = 7⁴. Rose argues that 7⁹/7⁵=7⁴⁵. Which one of them is correct? Use the properties of exponents to justify your answer.

Answer:

Part A : Rose is correct

Part B : Raymond is correct

Step-by-step explanation:

Part A:

Raymond claims that 5⁵ * 5² =5³

Rose argues that 5⁵ * 5² = 5⁷.

Which one of them is correct?

Rose is correct

Use the properties of exponents to justify your answer.

Using the properties of exponents,

x^a × x^b = x^a+b

From the above question, following the above rule we have:

5⁵ * 5² = 5⁵+²

= 5⁷

Hence, Rose is correct.

Part B: Raymond claims that 7⁹/7⁵ = 7⁴. Rose argues that 7⁹/7⁵=7⁴⁵.

Which one of them is correct?

Raymond is correct

Use the properties of exponents to justify your answer.

Using the properties of exponents,

x^a / x^b = x^a-b

From the above question, following the above rule we have:

7⁹/7⁵ = 7⁹-⁵

= 7⁴

Hence, Raymond is correct.

Answer:

The answer is C.

explanation:

The reason for answer (C) is because when looking for a function the (X) value cant repeat, but the (Y) can. In answer (C) the x-value 19 repeats.

sorry if its wrong, but pretty sure im right.

Answer:

\(x>-11\)

Step-by-step explanation:

\(10+2x>-12\)

Subtract both sides by 10

\(10+2x-10>-12-10\\2x>-22\)

Divide both sides by 2

\(\frac{2x}{2}>\frac{-22}{2} \\x>-11\)

I hope this helps!

Answer:

x > -11

Step-by-step explanation:

Answer:

The graph of a quadratic function is a U-shaped curve called a parabola. ... The extreme point ( maximum or minimum ) of a parabola is called the vertex, and the axis of symmetry is a vertical line that passes through the vertex. The x-intercepts are the points at which the parabola crosses the x-axis.

Answer:

_48x +32

Step-by-step explanation:

_(16*3x_16*2)

_(48x_32)

_48*+32

Answer:

Your answer is: 4v5i

Step-by-step explanation:

Hope this helped : )

The number 6 comma 107 comma 200 can be expressed using scientific notation as \(6.1072*10^{6}\).

Scientific notation is used to represent a very large number or a very small number in Simple way.

Steps to find scientific Notation of a number

Step (i) Move the decimal point until a number between 1 and 10 is created.

Step (ii) Count the number of times the decimal is moved .

Step (iii) If the decimal is moved n times then multiply the term by n times of 10.

In the given question

the number 6107200.

Step (i) We will move the decimal 6 place towards left.

number becomes 6.107200

Step (ii) The decimal is moved 6 place towards left.

Step (iii) we will multiply by \(10^{6}\).

\(=6.1072*1000000\)

So , the number becomes \(6.1072*10^{6}\)

Therefore , the number 6107200 can be expressed using scientific notation as \(6.1072*10^{6}\)

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Answer:

boys + girls =  45  -------(1)

There boys 17 more than girls, boys = girls + 17  ----------(2)

substitute (2) in (1)

girls + 17 + girls = 45

2 x girls + 17 = 45

2 x  girls = 45 - 17

2 x girls = 28

girls = 14

substitute in (2): boys = girls + 17 = 14 + 17 = 31

option D

Answer:

The answer is D

Step-by-step explanation:

If the mean monthly electric bill for 71 residents of the local apartment is $62 , then the best point estimate is $62 .

In the question ,

it is given that ,

the number of residents in the local apartment complex is = 71

the mean electric bill for the 71 residents = $62 ;

we know that the sample mean is itself called as the best point estimate ;

So , best point estimate for mean monthly electric bill for all residents of local apartment complex will be = mean monthly bill for 71 residents of  local apartment complex which is given as $62 .

Therefore , the best point estimate is $62 .

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Answer:

I'll just tell you how to do it

Step-by-step explanation:

Solve the equation it gives you using the order of operations, then you just mark where the answer is on the graph. For example, if the equation equals 14 (It might not, this is just an example) mark it as 14 on the line. that's my understanding of it

Answer:

.

Step-by-step explanation:

Answer:

Babysitting your cousins

Step-by-step explanation:

Becauss 15/1.5 is 3. And 60/8 is 7.5

(a) The roots of the given equation f(1) = 14 + 3r3 – 7x2 – 71 +2 are as follows: f(1) = 14 + 3r3 – 7x2 – 71 +2= 3r3 – 7x2 – 55.

The above equation doesn't give any real or complex roots, we need to be given an equation to find the roots. Thus, no solution can be given.

(b) Using the Binomial Theorem, we can expand and simplify the expression (x + 5y)4 as follows: (x + 5y)4 = C(4, 0)x4(5y)0 + C(4, 1)x3(5y)1 + C(4, 2)x2(5y)2 + C(4, 3)x1(5y)3 + C(4, 4)x0(5y)4= x4 + 20x3y + 150x2y2 + 500xy3 + 625y4. Thus, the expansion and simplification of the given expression are x4 + 20x3y + 150x2y2 + 500xy3 + 625y4. ALGEBRA. (a) The sum of the given series 54(2)k-1 can be calculated as follows: S = 54(2)k-1= 54 * 2k-1= (22 * 3)k-1= 3k. Thus, the sum of the given series is 3k.(b) Using the properties of logarithms, we can expand the expression log2 y √(1-1/z(y2+1)) as follows:log2 y √(1-1/z(y2+1))= log2 y (y2+1)-1/2/z-1/2= (1/2)log2 (y2+1) - (1/2)log2 z - (1/2)log2 (y2+1). Thus, the expression can be expanded completely using the properties of logarithms as (1/2)log2 (y2+1) - (1/2)log2 z - (1/2)log2 (y2+1).VERIFYING/SHOWING. To verify the given trigonometric identity secα = sin(π/2 - α), we can use the following steps: secα = 1/cosαand sin(π/2 - α) = cosαHence, secα = sin(π/2 - α)Thus, the given trigonometric identity is verified.

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Step-by-step explanation:

This angle can be written in three different ways -

Therefore,

Options A, B, C are correct.

Question 1a

To calculate the book value at the end of the first year using straight-line depreciation, we need to determine the annual depreciation expense first. The straight-line method assumes that the asset depreciates by an equal amount each year over its useful life. Therefore, we can use the following formula to calculate the annual depreciation:

Annual Depreciation = (Cost - Salvage Value) / Useful Life

Substituting the given values, we get:

Annual Depreciation = ($200,000 - $20,000) / 10 years = $18,000 per year

This means that the tractor will depreciate by $18,000 each year for the next 10 years.

To determine the book value at the end of the first year, we need to subtract the depreciation expense for the year from the original cost of the tractor. Since one year has passed, the depreciation expense for the first year will be:

Depreciation Expense for Year 1 = $18,000

Therefore, the book value of the tractor at the end of the first year will be:

Book Value = Cost - Depreciation Expense for Year 1

= $200,000 - $18,000

= $182,000

So the book value of the tractor at the end of the first year, December 31, 2022, using straight-line depreciation is $182,000. so the answer is D

Question 1(b)

To determine the farmer's noncurrent liabilities, we need to use the information provided to calculate the total liabilities and then subtract the current liabilities from it. Here's the step-by-step solution:

Calculate the total current liabilities using the current ratio:

Current Ratio = Current Assets / Current Liabilities

2 = $80,000 / Current Liabilities

Current Liabilities = $80,000 / 2

Current Liabilities = $40,000

Calculate the total liabilities using the debt/equity ratio:

Debt/Equity Ratio = Total Liabilities / Owner Equity

1.0 = Total Liabilities / $100,000

Total Liabilities = $100,000 * 1.0

Total Liabilities = $100,000

Subtract the current liabilities from the total liabilities to get the noncurrent liabilities:

Noncurrent Liabilities = Total Liabilities - Current Liabilities

Noncurrent Liabilities = $100,000 - $40,000

Noncurrent Liabilities = $60,000

Therefore, the farmer's noncurrent liabilities are $60,000. so the answer is B.

Answer:

alt exterior- 7,2

corresponding- 5,8

alt interior- 1,3

same side interior- 1,8 or 5,3

Step-by-step explanation:

Answer: Both three and six are reflections across the y-axis.

Step-by-step explanation: its like a mirror

Answer:

(1,4)

Step-by-step explanation:

If f(x) and its inverse function are both plotted on the same coordinate plane, their point of intersection is (2,2).

Inverse function is represented by f-1 with regards to the original function f and the domain of the original function becomes the range of inverse function and the range of the given function becomes the domain of the inverse function.

Intercept form of the given line:  \(\frac{x}{3} + \frac{y}{6} =1\\\)

Equation the line: \(2x + y = 6\)

Function becomes: \(y = 6 - 2x\ or\ f(x) = -2x + 6\)

Inverse of the function: \(x = \frac{6-y}{2}\ or\ g(y) = \frac{6-y}{2} or g(x) = \frac{6-x}{2}\)

Inverse function as a line: \(2y +x = 6\)

Calculating the intersection of the two lines using substitution:

\(2x + y = 6\\\\y = 6 - 2x\\\\2y + x = 6\\\\2(6-2x) + x = 6\\\\12 - 4x + x = 6\\\\-3x = -6\\\\x = 2\\\\y = 6 - 2*2 = 2\)

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Answer:

D. y = 3x^2 − 2

Step-by-step explanation:

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Down

Vertex:  

(

0

,

2

)

Focus:  

(

0

,

23

12

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

25

12

x

y

−

2

−

10

−

1

−

1

0

2

1

−

1

2

−

10

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  

(

0

,

−

3

)

Focus:  

(

0

,

−

23

8

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

−

25

8

x

y

−

2

5

−

1

−

1

0

−

3

1

−

1

2

5

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  

(

0

,

−

2

)

Focus:  

(

0

,

−

15

8

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

−

17

8

x

y

−

2

6

−

1

0

0

−

2

1

0

2

6

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  

(

0

,

−

2

)

Focus:  

(

0

,

−

23

12

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

−

25

12

x

y

−

2

10

−

1

1

0

−

2

1

1

2

10

Russell and Dantzel Nelson immediately started studying Mandarin Chinese.

This information is specific to Russell and Dantzel Nelson and their personal response to President Kimball's challenge. It is not mentioned in the question why they chose Mandarin Chinese specifically, but it can be assumed that they had their own reasons for selecting that language. It is worth noting that Mandarin Chinese is one of the most widely spoken languages in the world, and learning it would have been beneficial for missionary work in areas where Mandarin is spoken. Russell M. Nelson, who later became the President of The Church of Jesus Christ of Latter-day Saints, had significant international experience and worked extensively with various cultures and interest, further emphasizing the importance of language learning for missionary service.

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Answer:

This is a trick question, or more accurately, a riddle. The right answer is: At the butcher's shop, the clerk weighs meat, which is the presumed product.

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

vertical line so X is the same regardless Y values

so x=2

Answer: x=2

Step-by-step explanation: