Given that B is the midpoint of the arc AC, find
(i) the length of BD,
(ii) the perimeter of the shaded region
(iii) the area of the shaded region.
Ans:
8.49
21.4
20.5

Answer:

95⁰

Step-by-step explanation:

95⁰ is the measure of <k

Because in a cyclic quadrilateral sum of opposite angles is equal to 180⁰

I hope it helped you

Answer:

J' (- 10, - 8 )

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

J (10, - 8 ) → J' (- 10, - 8 )

Answer:

(-10, -8)

Step-by-step explanation:

The rule for a reflection over the y -axis is (x, y)→(−x, y) .

so J(10, -8) becomes J'(-10, -8)

Answer:

The y intercept for the equation is (0,-7)

Answer: 3/52

Step-by-step explanation:

You want to pick a diamond jack, diamond queen or diamond king

There are only 3 of those so

P(DJ or DQ or DK) = 3/52        There are 3 of those out of 52 total

Answer:

Awww love you man!

(And me lol)

Step-by-step explanation:

Answer:

The original cost of the apartment: was $1800

The increased price of the apartment per year: $90

To figure this problem out we need to calculate how much the apartment would cost around the 10th year. To do that, we would first need to multiply the $90 increase per year and the 10th years of living in the apartment.

$90 x 10 = $900

Now that we know how much it increased, we need to add that to our original cost. So, we add $1800 and $900.

$1800 + $900 = $27000

Yay! Know we know our monthly rent is $27000 during the 10th year of living there.

Answer:

35 40 3x

I think 3x mean 105 because the sum is 180

Answer:

A and B are functions but C is not

Step-by-step explanation:

a  function has one y value to every x value.

(a) The 95% confidence interval for the first sample size is (13.72, 17.70).

(b) The 90% confidence interval for the other sample is (13.95, 17.21).

a) To find the 95% confidence interval, we can use the formula:

x ± Zc/2 * σ/√n

where,

x = sample mean.

Zc/2 = Z-score for the given confidence level.

σ = population standard deviation.

n = sample size.

Substitute the given values in the formula.

x ± Zc/2 * σ/√n = 15.71 ± (1.96 * 4.6/√30) = 15.71 ± 1.99

Therefore, the 95% confidence interval is (13.72, 17.70).

b) To find the 90% confidence interval, we can use the formula:

x ± Zc/2 * s/√n

where,

x = sample mean.

Zc/2 = Z-score for the given confidence level.

s = sample standard deviation.

n = sample size.

Substitute the given values in the formula.

x ± Zc/2 * s/√n = 15.58 ± (1.645 * 4.61/√90) = 15.58 ± 1.63

Therefore, the 90% confidence interval is (13.95, 17.21).

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Answer:

26

Step-by-step explanation:

2(9)-(-3)+5

2(9)+3+5

18+8

26

Answer:

 26

Step-by-step explanation:

2x^2 -x+5

x=-3

2(-3)^2 -(-3)+5

2(9)-(-3)+5

18-(-3)+5

negative multiplied by negative is positive so you have

18+3+5= 26

Have a nice day :)

Answer:

D is the answer of the question

Answer:

In domain: -2.

Not in domain: 2, 4.

Step-by-step explanation:

The domain of a square root function is all real numbers such that the expression under the square root is greater than or equal to 0.

So, set the expression under the square root greater than or equal to 0 and solve for x:

\(-2x\geq 0\\\)

Divide both sides by -2. When dividing by a negative, we flip the sign:

\(x\leq 0\)

So, the domain of the function is all real numbers such that x is greater than of less than 0.

-2 is less than 0. So, it is in the domain.

2 is not less than 0. So, it is not in the domain.

4 is not less than 0. So, it is also not in the domain.

The area of the computer monitor display is approximately 0.103 square meters, with three significant figures.

The area of the monitor display in square meters is found by converting the measurements from inches to meters and then calculate the area.

The conversion factor from inches to meters is 0.0254 meters per inch.

Width in meters = 14.60 inches * 0.0254 meters/inch

Height in meters = 10.95 inches * 0.0254 meters/inch

Area = Width in meters * Height in meters

We calculate the area:

Width in meters = 14.60 inches * 0.0254 meters/inch = 0.37084 meters

Height in meters = 10.95 inches * 0.0254 meters/inch = 0.27813 meters

Area = 0.37084 meters * 0.27813 meters = 0.1030881672 square meters

Now, we determine the number of significant figures.

The measurements provided have four significant figures (14.60 and 10.95). However, in the final answer, we should retain the least number of significant figures from the original measurements, which is three (10.95). Therefore, the answer should have three significant figures.

Thus, the area of the monitor display in square meters is approximately 0.103 square meters, with three significant figures.

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Answer:

\(Range = 3.169m\)

Step-by-step explanation:

Given

See attachment for complete question

Required

Determine the difference between the shortest and the longest

This question implies that we calculate the range.

\(Range = Longest - Shortest\)

From the table, we have:

\(Longest = 8.7m\)

\(Shortest = 5.531m\)

So, we have:

\(Range = 8.7m- 5.531m\)

\(Range = 3.169m\)

The slope (m) and y-intercepts are:

2. (m) is -1 and m = 4;       3. m = 2 and the b = 1.     5. m = 1 and m = -2;

6. m = -3 and b = -5.       8. m = 3 and b = -1.          9. m = -1 and b = 3.

The value of the slope in an equation is represented as m while the y-intercept is represented as b, where the equation is in the form of y = mx + b, in slope-intercept form.

In the equation y = -x + 4, the slope (m) is -1 and the y-intercept is 4.

In the equation y = 2x + 1, m = 2 and the b = 1.

In y = x - 2, the m = 1 and the y-intercept is -2.

In y = -3x - 5, m = -3 and b = -5.

In y = 3x - 1, m = 3 and b = -1.

In y = -x + 3, m = -1 and b = 3.

The graph of y = -x + 4 is in figure 1, while that of y = 2x + 1 is in figure 2.

The graph of y = x - 2 is in figure 3, while that of y = -3x - 5 is in figure 4.

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Answer:

15 hours

Step-by-step explanation:

2 ways to do this

1- I know that 3 x 3 is 9 hours which will leads to these equations

3 x 3 = 9

5 x 3 = 15

2- Find out how long it takes for one lawn

5/3 = 1.6666...

1.6666.... x 9 =15

I hope Im correct!

Answer:

it would take 15 hours

Step-by-step explanation:

If we know that it would take 5 hours to mow 3 lawns, then we can assume that this ratio will stay the same and multiply this by 3, making it 9 lawns in 15 hours

The height of the base will be 15 cm. The candy bar has a 2400 cubic centimeter box with a triangular prism form to it.

Join the edges of three rectangles. Now, from both ends, seal their triangle mouths. A triangular prism is a name for the form.

The complete question is;

"A candy bar is in the shape of a triangular prism the volume of the box is 2400 cubic centimeters.  It is shown with a base of the triangle labeled 16 cm, the sides of triangles labeled 17 cm, and the length of the box equal to 20 cm. what is the height of the base triangular prism"

The volume of the triangular prism;

\(\rm V = \frac{1}{2}\times b \times h\times l\\\\ 2400 \ cm^3 = \frac{1}{2}\times 16 \ cm \times h\times 20 \ cm \\\\ h = 15 \ cm\)

Hence, the height of the base will be 15 cm.

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Let's assume the total number of movies Aldo plans to watch each month is represented by the variable "M". To write an equation representing the total number of movies Aldo will watch in months, we can use the equation:

M = n * m

where "n" represents the number of months and "m" represents the average number of movies Aldo plans to watch per month.

This equation states that the total number of movies Aldo will watch (M) is equal to the number of months (n) multiplied by the average number of movies he plans to watch per month (m).

For example, if Aldo plans to watch an average of 5 movies per month and he plans to do so for 12 months, the equation becomes:

M = 12 * 5

which simplifies to:

M = 60

Therefore, Aldo plans to watch a total of 60 movies in 12 months.

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The rate of interest is 3.4% (to the nearest tenth of a percent)

With compound interest, the old amount is added to the interest gotten from the old amount to get the new amount. This process is repeated at regular intervals over a period of time.

The compounded amount formula is given by

\(A=P \left(1+\dfrac{r}{n}\right)^{nt}\)

where

\(A=\text{the amount gotten after t years}\\P=\text{the original investment}\\r=\text{the rate, as a decimal fraction}\\n=\text{the number of times the interest is compounded, per year}\\t=\text{the overall duration of the deposit, in years}\)

From the question,

we want to use the given information to calculate the interest rate Oliver will need in order to end up with $4,600.

First rearrange the formula so that the rate becomes the subject.

\(A=P \left(1+\dfrac{r}{n}\right)^{nt}\\\\\dfrac{A}{P}=\left(1+\dfrac{r}{n}\right)^{nt}\\\\\sqrt[4t]{\dfrac{A}{P}}=1+\dfrac{r}{n}\\\\\sqrt[4t]{\dfrac{A}{P}}-1=\dfrac{r}{n}\\\\n\left(\sqrt[4t]{\dfrac{A}{P}}-1\right)=r\)

substituting the values in the problem into the rearranged formula, we can calculate the decimal value of \(r\)

\(r=n\left(\sqrt[4t]{\dfrac{A}{P}}-1\right)\\\\=4\left(\sqrt[4(18)]{\dfrac{4600}{2500}}-1\right)\\\\\approx0.034\)

The rate of interest, to the nearest tenth of a percent, is

\(0.034\times 100\%=3.4\%\)

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Answer:

20. A. y= 10x = 15

21. C. Php 75.00

22. B. Php 195.00

Step-by-step explanation:

She has to pay 25 Pesos for one hour and only ten more each hour after that. That can be represented in the formula Y= 10x +15. To solve the rest of the questions, just substitute 6 hours for question 21 and 18 hours for question 22.

Answer:

50

Step-by-step explanation:

10x5=50

Answer:

See image

Step-by-step explanation:

Plato

Answer:

Step-by-step explanation:

Correct option is A)

Considering the factors of time and cost, strategic alliances generally emerge as the quickest and cheapest way to develop a global strategy. (option c)

Strategic alliances involve partnerships or collaborations between companies from different countries, with the goal of leveraging each other's strengths to achieve mutual benefits.

By sharing resources, knowledge, and networks, companies can expand their global presence more efficiently and cost-effectively. Strategic alliances can enable faster market entry and access to new markets by leveraging the partner's existing infrastructure, distribution channels, and customer base.

Moreover, pooling resources can help reduce costs and risks associated with global expansion.

Therefore, strategic alliances can be a relatively quicker and cheaper way to develop a global strategy, as they provide an opportunity to tap into existing capabilities and market presence of the alliance partner.

Hence the correct option is (c).

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Let \(\(a\)\) and \(\(b\)\) be integers such that \(\(ab = 4\)\). We want to prove that \(\((a - b)^3 - 9(a - b) = 0\).\)

Starting with the left side of the equation, we have:

\(\((a - b)^3 - 9(a - b)\)\)

Using the identity \(\((x - y)^3 = x^3 - 3x^2y + 3xy^2 - y^3\)\), we can expand the cube of the binomial \((a - b)\):

\(\(a^3 - 3a^2b + 3ab^2 - b^3 - 9(a - b)\)\)

Rearranging the terms, we have:

\(\(a^3 - b^3 - 3a^2b + 3ab^2 - 9a + 9b\)\)

Since \(\(ab = 4\)\), we can substitute \(\(4\)\) for \(\(ab\)\) in the equation:

\(\(a^3 - b^3 - 3a^2(4) + 3a(4^2) - 9a + 9b\)\)

Simplifying further, we get:

\(\(a^3 - b^3 - 12a^2 + 48a - 9a + 9b\)\)

Now, notice that \(\(a^3 - b^3\)\) can be factored as \(\((a - b)(a^2 + ab + b^2)\):\)

\(\((a - b)(a^2 + ab + b^2) - 12a^2 + 48a - 9a + 9b\)\)

Since \(\(ab = 4\)\), we can substitute \(\(4\)\) for \(\(ab\)\) in the equation:

\(\((a - b)(a^2 + 4 + b^2) - 12a^2 + 48a - 9a + 9b\)\)

Simplifying further, we get:

\(\((a - b)(a^2 + 4 + b^2) - 12a^2 + 39a + 9b\)\)

Now, we can observe that \(\(a^2 + 4 + b^2\)\) is always greater than or equal to \(\(0\)\) since it involves the sum of squares, which is non-negative.

Therefore, \(\((a - b)(a^2 + 4 + b^2) - 12a^2 + 39a + 9b\)\) will be equal to \(\(0\)\) if and only if \(\(a - b = 0\)\) since the expression \(\((a - b)(a^2 + 4 + b^2)\)\) will be equal to \(\(0\)\) only when \(\(a - b = 0\).\)

Hence, we have proved that if \(\(ab = 4\)\), then \(\((a - b)^3 - 9(a - b) = 0\).\)

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The command in Stata would be the most useful is reg when  you want to combine this with a dataset that reports how much each individual sleeps per week.

A collection of data is known as a data set (or dataset). In the case of tabular data, a data set relates to one or more database tables, where each row refers to a specific record in the corresponding data set and each column to a specific variable. The data set includes values for each of the variables, such as the object's height and weight, for each set member. Data sets may also include a group of files or documents.

For data management, visualisation, statistics, and automated reporting, Stata is a general-purpose statistical software programme created by StataCorp. Researchers in a variety of disciplines, such as science, biomedicine, epidemiology, and sociology, use it.

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Answer:

The product of a term that oscillates between positive and negative values and a term that approaches 0 results in a sequence that oscillates around 0, we can conclude that the given sequence is convergent and its limit is 0.Therefore, the answer is: lim(n → ∞) (-1)^n * sin(5/n) = 0.

Step-by-step explanation:

To determine whether the given sequence is divergent or convergent, we need to evaluate the limit of the sequence.

The given sequence is defined as:

lim(n → ∞) (-1)^n * sin(5/n)

As n approaches infinity, we can see that the term (-1)^n oscillates between positive and negative values. Additionally, the term sin(5/n) approaches 0 as n gets larger because the argument of the sine function, 5/n, approaches 0.

Since the product of a term that oscillates between positive and negative values and a term that approaches 0 results in a sequence that oscillates around 0, we can conclude that the given sequence is convergent and its limit is 0.

Therefore, the answer is: lim(n → ∞) (-1)^n * sin(5/n) = 0.

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The correct option is C: Cluster around a horizontal line when graphed are distributed equally along both axes.

A level within a phase is defined as a set of observations that cluster around a horizontal line when graphed. This means that the data points tend to remain relatively constant or steady during that particular phase.

When plotted on a graph, these observations form a horizontal line, indicating little variation or change. This stability implies that the system or process being observed is in a balanced state, with minimal fluctuations or disturbances.

The horizontal line represents a steady state, indicating that the system or process being observed is maintaining a consistent level without significant fluctuations or trends.

A stable level is characterized by a consistent and predictable pattern, which can be useful in analyzing and understanding the behavior of the system or process over time.

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