PLEASE HELP what is the next term what is A in the sequence and what is the common ratio for 2 4 8 16 32

Answer:

What is the question?! I don't understand, sry?!

Step-by-step explanation:

The number of different paths from Point A to Point B is 20

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

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

Horizontal paths = 3

Vertical paths = 3

So, the shortest movement is calculated as

shortest, n = Horizontal paths + Vertical paths

Substitute the known values in the above equation, so, we have the following representation

n = 3 + 3

Evaluate the sum

This gives

n = 6

The number of paths between the points is then calculated using the following combination formula

Total = ⁿCᵣ

Where

n = 6 and r = Vertical paths = 3

Substitute the known values in the above equation

Total = ⁶C₃

Apply the combination formula

ⁿCᵣ = n!/(n - r)!r!

So, we have

Total = 6!/3!3!

Evaluate

Total = 20

Hence, the number of paths between the points is 20

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Answer: x=12

Step-by-step explanation: 10(x−3)=90

(10)(x)+(10)(−3)=90 (Distribute)

10x+−30=90

10x−30=90

Step 2: Add 30 to both sides.

10x−30+30=90+30

10x=120

Step 3: Divide both sides by 10.

x=12

The answer is that the mathematician solved 2k problems on the day he drank coffee.

Let's assume that the mathematician works for x hours a day and can solve y problems per hour. Also, the mathematician drinks some coffee and discovers that he can now solve z problems per hour. So, the mathematician works for n hours that day. We are given that:x*y = number of problems solved in a dayz * n = number of problems solved on the day he drank coffee

Then, we can write the equations:x*y = n * 2*z (he still solves twice as many problems as he would in a normal day)andx = n (he only works for n hours that day)Now, we need to simplify these equations to solve for the number of problems solved on the day he drank coffee. Here is how to do it:$$x*y = n * 2*z$$$$\frac{x*y}{x} = \frac{2*n*z}{x}$$$$y = 2 * \frac{n*z}{x}$$Since x, y, n, and z are all positive integers, we can say that the expression 2*n*z/x is also a positive integer. Therefore, we can write:$$\frac{2*n*z}{x} = k$$$$y = 2k$$where k is a positive integer.

Finally, the number of problems solved on the day he drank coffee is:y = 2k Therefore, the answer is that the mathematician solved 2k problems on the day he drank coffee.

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The probability of drawing two eights is 16/2,704, which simplifies to 1/169, or approximately 0.59%.

There are a total of 52 cards in each deck, so there are 52 x 52 = 2,704 possible combinations of cards that could be drawn.

To calculate the probability of drawing two eights, we need to determine the number of ways we can draw two eights and then divide that by the total number of possible combinations.

There are four eights in each deck, so there are 4 x 4 = 16 ways to draw two eights (one from each deck).

Therefore, the probability of drawing two eights is 16/2,704, which simplifies to 1/169, or approximately 0.59%.

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Answer:

9 sorry if im wrong

If \(\sqrt a - \sqrt b = 3\), then \(\left(\sqrt a - \sqrt b\right)^2 = 3^2 = \boxed9\).

To calculate the number of MADs that the means are apart, we need to find the difference between the two means and then divide that by the MAD.

The difference between the means is 20 - 16 = 4.

Dividing that by the MAD of 2.5, we get:

4 / 2.5 = 1.6

Therefore, the means are 1.6 MADs apart.

1. Find the difference between the two mean ages: 20 years (mean age of second sample) - 16 years (mean age of first sample) = 4 years.

2. Divide the difference by the MAD: 4 years (difference between means) / 2.5 (MAD) = 1.6.

So, the means are 1.6 MADs apart.

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The conversion rate will affect her budget as C. Kari has almost exactly enough left in her budget to see Genoa.

From the information given, it should be noted that a trip to Genoa will cost her €60.85.

This will be converted to dollars which will be:

= 60.85/0.6859

= 88.72

Therefore, out of the $585 budget, only $88.72 is used.

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The amount needed to purchase materials needed to cover the area of the triangular flag is: $54.

Area of a triangle = 1/2(bh)

Given the dimensions of the flag as the following:

base (b) = 18 in.

height (h) = √(41² - 9²) = 40 in.

Area of the flag = 1/2(18)(40) = 360 in.²

Cost of material needed = (360)(0.15) = $54

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Answer:

360 and $54

Step-by-step explanation:

Answer:

198

Step-by-step explanation:

between 20 to 100 MEANS THAT WE EXCLUDE 20 AND 100

INTEGER IS POSITIVE AND NEGATIVE NUMBER WHICH IS 21 TO 199 FOR THIS QN WHICH IS 198 IN NUMBER

After integration, the equation a1x2 + y2f(x,y) da = a(11 - a2) = [(11 - 2sqrt(30))/2] follows. π(22 - 2[(11 - 2sqrt(30))/2]²) = 1.

Given that a 1 and the circle x2 + y2 a, the integral of the function f(x,y) = 11 - x2 - y2 is as follows:

∬[x^2 + y^2 < a^2] (11 - x^2 - y^2) dA

To calculate the integral's value, we can use polar coordinates. The boundaries of inclusion are 0 r a and 0 2. In polar coordinates, r dr d denotes the differential area element dA.

Consequently, we have:

∬[x^2 + y^2 < a^2] (11 - x^2 - y^2) dA

= ∫[0,2π] ∫[0,a] (11 - r^2) r dr dθ

= ∫[0,2π] [(11a^2)/2 - (a^4)/4] dθ

= 2π [(11a^2)/2 - (a^4)/4]

= πa^2 (22 - 2a^2)

We must now work out the equation to determine the value of a such that the integral equals 1.

a^2 π (22 - 2a^2) = 1

When we divide both sides by and rearrange them, we get:

22a^2 - 2a^4 = 1

2a^4 - 22a^2 + 1 = 0

The quadratic formula can be used to answer this quadratic equation:

a^2 = [22 +/- sqrt(22^2 - 4(2)(1))]/(2(2))

a^2 = [22 − sqrt(480)]/4

a^2 = [22 ± 4sqrt(30)]/4

a^2 = (11 ± 2sqrt(30))/2

We pick the negative root since an is a 1, which is:

a^2 = (11 - 2sqrt(30))/2

In light of this, a1x2 + y2f(x,y) da = a(11 - a2) = [(11 - 2sqrt(30))/2]

π(22 - 2[(11 - 2sqrt(30))/2]²) = 1.

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The sum of the measures of the exterior angles of any polygon, including a triangle, is always 360 degrees.

We have,

An exterior angle of a polygon is formed by extending one of its sides outward.

In the case of a triangle, when we extend each side, we create three exterior angles.

These exterior angles are located outside the triangle.

The key concept to understand is that the sum of the exterior angles of any polygon is always 360 degrees.

This property holds true for all polygons, regardless of their shape or size.

To visualize this, imagine starting at any vertex of a triangle and moving along its sides while measuring the exterior angles.

As you move around the triangle, the sum of the exterior angles will always add up to 360 degrees.

This is because, at each vertex, the exterior angle supplements the interior angle to form a straight angle of 180 degrees.

In a triangle, each interior angle measures less than 180 degrees.

So, when we extend each side to create the exterior angles, they collectively compensate for the deficiency of the interior angles, resulting in a sum of 360 degrees.

Therefore,

The sum of the measures of the exterior angles of a triangle is always 360 degrees.

This principle holds true for all polygons, making it a fundamental property of geometry.

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The best lower bound for the volume is 24 cm³, and the best upper bound is 120 cm³ and the best lower bound for the surface area is 52 cm², and the best upper bound is 148 cm².

a. To determine the best upper and lower bounds for the volume of the rectangular parallelepiped, we can consider the extreme cases by rounding each side to the nearest centimeter.

Lower bound: If we round each side down to the nearest centimeter, we get a rectangular parallelepiped with sides 2 cm, 3 cm, and 4 cm. The volume of this parallelepiped is 2 cm * 3 cm * 4 cm = 24 cm³.

Upper bound: If we round each side up to the nearest centimeter, we get a rectangular parallelepiped with sides 4 cm, 5 cm, and 6 cm. The volume of this parallelepiped is 4 cm * 5 cm * 6 cm = 120 cm³.

Therefore, the best lower bound for the volume is 24 cm³, and the best upper bound is 120 cm³.

b. Similar to the volume, we can determine the best upper and lower bounds for the surface area of the parallelepiped by considering the extreme cases.

Lower bound: If we round each side down to the nearest centimeter, the dimensions of the parallelepiped become 2 cm, 3 cm, and 4 cm. The surface area is calculated as follows:

2 * (2 cm * 3 cm + 3 cm * 4 cm + 4 cm * 2 cm) = 2 * (6 cm² + 12 cm² + 8 cm²) = 2 * 26 cm² = 52 cm².

Upper bound: If we round each side up to the nearest centimeter, the dimensions become 4 cm, 5 cm, and 6 cm. The surface area is calculated as follows:

2 * (4 cm * 5 cm + 5 cm * 6 cm + 6 cm * 4 cm) = 2 * (20 cm² + 30 cm² + 24 cm²) = 2 * 74 cm² = 148 cm².

Therefore, the best lower bound for the surface area is 52 cm², and the best upper bound is 148 cm².

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Descriptive statistics involves describing and summarizing data, while inferential statistics involves making inferences or predictions about a population based on data from a sample.

Descriptive statistics is a branch of statistics that involves the collection, analysis, interpretation, and presentation of data. Its primary goal is to describe and summarize the characteristics of a set of data. In the case of the statement "forty-four percent of the people in the United States have type O blood," this is an example of descriptive statistics because it simply provides information about the percentage of people with type O blood in the United States population. This information is useful for understanding the prevalence of this blood type in the population, but it does not involve making any inferences or predictions about the population.

Inferential statistics, on the other hand, involves using data from a sample to make inferences or predictions about a larger population. For example, if a researcher wants to know whether a new drug is effective in treating a particular condition, they might conduct a study in which some patients receive the drug and others receive a placebo. The data from this study can be used to make inferences about the effectiveness of the drug in the larger population of people with the condition. Inferential statistics involves techniques such as hypothesis testing, confidence intervals, and regression analysis to help draw conclusions about a population based on data from a sample.

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Answer:

Step-by-step explanation:

Given the expression  (sec θ + tan θ) x (1 – sin θ), to simplify he expression the following steps must be followed. First we must know that from trigonometry identity, secθ = 1/cos θ and tanθ = sinθ/cosθ

Substituting this foremulas in the expression we will have:

(sec θ + tan θ) x (1 – sin θ)

= (1/cosθ + sinθ/cosθ)* (1-sinθ)

= (1+sinθ/cosθ) *1-sinθ

= {(1+sinθ)(1-sinθ)/cosθ}

= (1-sinθ+sinθ-sin²θ)/cosθ

= 1-sin²θ/cosθ

Also, from pythagoras therorem, sin²θ+cos²θ = 1

cos²θ = 1-sin²θ

substituting cos²θ = 1-sin²θ into the final expression above we have:

1-sin²θ/cosθ = cos²θ/cosθ

= cosθ

(sec θ + tan θ) x (1 – sin θ) = cosθ

(x - 5) is a factor of the polynomial function f(x) = x³ - x² - 17x -15 as there is no remaider.

We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.

To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.

Given a polynomial function f(x) = x³ - x² - 17x -15.

If (x - 5) is it's factor then f(5) = 0.

∴ f(x) = x³ - x² - 17x -15.

f(5) = 5³ - 5² - 17(5) - 15.

f(5) = 125 - 25 - 85 - 15.

f(5) = 0.

So, the remainder is zero hence (x - 5) is a factor of the polynomial function f(x) = x³ - x² - 17x -15.

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None of the given options (a, b, c, d) match the calculated ROE.

Return on Equity (ROE) is calculated by dividing the net income by the average equity. In this case, we need to determine the net income.

The times interest earned ratio is calculated by dividing the earnings before interest and taxes (EBIT) by the interest expense. We can rearrange the formula to calculate EBIT:

EBIT = Times Interest Earned Ratio * Interest Expense

Given that the times interest earned ratio is 2 and the interest expense is $1.5 million, we can calculate the EBIT:

EBIT = 2 * $1.5 million = $3 million

Next, we need to calculate the net income.

The net income is calculated by subtracting the tax liability from the EBIT:

Net Income = EBIT - Tax Liability

          = $3 million - $1 million

          = $2 million

Now we can calculate the ROE:

ROE = (Net Income / Average Equity) * 100%

   = ($2 million / $1.5 million) * 100%

   = 133.33%

Therefore, none of the given options (a, b, c, d) match the calculated ROE.

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Given that:

- A coin is tossed.

- An eight-sided dice is rolled. This is numbered 1 through 8.

1. By analyzing the information provided in the exercise, you can identify that tossing a coin and getting a tail; and rolling a dice getting a number greater than 2 are Independent Events.

2. Knowing that the probability of occurring two independent events together is equal to the product of their probabilities:

• Let be "A": Tossing a tail.

• Let be "B": Rolling a number greater than 2.

3. Then, the formula is:

4. You need to find:

You can determine that:

Because the coin only has two faces.

And:

Because the dice has 8 sides and you need to find a number greater than 2. This gives you a set of 6 possible values:

Finally, substituting values into the formula and evaluating, you get:

Hence, the answer is:

The probability of tossing a tail and then rolling a number greater than 2 is:

Answer:

y=-2 and x=-2

y=1/5x+3  and y+3=-5(x+2)

Step-by-step explanation:

1) the lines y=-2 and x=-2 are perpendicular (horizontal and vertical lines);

2) the lines y=1/5x+3 and y= -5(x+2) are perpendicular (the slope1*slope2= -1).

Answer:

-2

Step-by-step explanation:

The slope of a line can be found using the formula m = \(\frac{y_2 -y_1}{x_2 - x_1}\), where m is the slope and \((x_1,y_1)\) and \((x_2,y_2)\) are two points on the line.

From the graph we can see that (-2,1) and (0,-3) are two points on the line, so let's sub these values into our formula to find the slope:

m = \(\frac{y_2 -y_1}{x_2 - x_1}\)

m = \(\frac{1-(-3)}{-2-0}\)=\(\frac{4}{-2}\)=-2

Answer: d. No, because the study was not taken from a random sample of scholarship athletes.

Step-by-step explanation:

Since the study only focuses on basketball players, the sample may not be representative of all scholarship athletes in the university. This can cause bias in the results and make it difficult to generalize the findings to the larger population of scholarship athletes. Therefore, the university administration should not fully trust the results of this study.

Answer:

-31

Step-by-step explanation:

-15-9+(-7)

-15-9-7

-24-7

-31

Answer:

Is D

Step-by-step explanation:

Hope it helps you its -1

You can get a number between two numbers by adding the two numbers together and then dividing by two.

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In a well-constrained problem space:

a. There are relatively a small number of states.

b. Subgoal decomposition is not required.

c. The solution is not always straightforward.

d. All of the states and operators are known.

A well-constrained problem space refers to a problem-solving environment that has clear boundaries and limitations, with well-defined rules, goals, and constraints. In such a space, there are typically a limited number of possible states or configurations that the system can be in, and the problem solver has access to all of the relevant information about the problem and its solution.

However, while a well-constrained problem space may have a relatively small number of states, it does not necessarily mean that the solution is always straightforward or that subgoal decomposition is not required. In fact, in some cases, even a well-constrained problem space can be complex and require considerable effort to solve. Nevertheless, having all of the states and operators known can help simplify the problem-solving process and enable more efficient and effective problem solving.

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Answer:

44554

Step-by-step explanation:

Answer:

44

Step-by-step explanation:

\( (\sqrt{99} - \sqrt{11})^2 =  \)

\( = (\sqrt{9 \times 11} - \sqrt{11})^2 \)

\( = (3\sqrt{11} - \sqrt{11})^2 \)

\( = (2\sqrt{11})^2 \)

\( = 2^2 \times (\sqrt{11})^2 \)

\( = 4 \times 11 \)

\( = 44 \)

Answer: 44

Refer to the attachment! v

Step-by-step explanation:

Your monthly payments with taxes and insurance included would be $2,903.71. This is calculated by taking the loan amount of $450,000 and multiplying it by the simple interest rate of 6.00%. The result is $27,000, which is then divided by the length of the loan, 30 years. This gives you

the principal and interest portion of your monthly payment, which is $2,033.33. To that, you add your yearly taxes of $2,000 and insurance of $1,500, divided by 12 months, to get an additional $416.67 and $125, respectively. Adding these two numbers together gives you your total monthly payment of $2,903.71.

Answer:

0.0004158

0.00041581

Step-by-step explanation:

Given that :

Number of Questions Correct

Probability for Guessing Correctly

0

0.05631351

1

0.18771172

2

0.28156757

3

0.25028229

4

0.14599800

5

0.05839920

6

0.01622200

7

0.00308990

8

0.00038624

9

0.00002861

10

0.00000095

Probability of answering 8 or more questions correctly ;

Direct sum:

P(x ≥ 8) = p(8) + p(9) + p(10)

P(≥ 8) = 0.00038624 + 0.00002861 + 0.00000095

= 0.0004158

Complement :

P(x ≥ 8) = 1 - p(x ≤ 7)

1 - [p(7) + p(6) + p(5) + p(4) + p(3) + p(2) + p(1) + p(0)]

1 - [0.00308990 + 0.01622200 + 0.05839920 + 0.14599800 + 0.25028229 + 0.28156757 + 0.18771172 + 0.05631351]

1 - 0.99958419

= 0.00041581