Given the regular nonagon, solve for x and y.

Answer:

the answer is B

Step-by-step explanation:

Answer:

Its C because think about it

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

given the areas are equal then equate the areas of both, that is

area of parallelogram = lb ( l is the length and b the breadth )

here b = 2 , then

area = 2l

area of triangle = \(\frac{1}{2}\) bh ( b is the base and h the height )

here b = 8 and h = 4 , then

area = \(\frac{1}{2}\) × 8 × 4 = 4 × 4 = 16 cm²

Now equate the 2 areas

2l = 16 ( divide both sides by 2 )

l = 8 cm

the number in the box is then 8

Answer:

Step-by-step explanation:

The coefficient that Professor Snoop Dogg calculated is most likely 1.00. A perfect correlation between the number of hours studying and performance on the exam would mean that as the number of hours studying increases, the performance on the exam also increases proportionally.

A correlation coefficient is a statistical measure that ranges from -1 to 1, with 1 indicating a perfect positive correlation, -1 indicating a perfect negative correlation, and 0 indicating no correlation. Since Professor Snoop Dogg measured a perfect correlation, the coefficient he calculated would be close to 1.00. Therefore, option a. 1.00 would be the most accurate answer to this question.

It is important to note that more information may be needed to determine the exact coefficient, but based on the given information, a perfect correlation suggests a coefficient close to 1.00.

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If the function int volume(int x = 1, int y = 1, int z = 1);` is called by the expression volume(3)`, only one default argument is used.

The function volume has three parameters with default arguments: `x`, `y`, and `z`. When calling the function `volume(3)`, the argument `3` is passed as the value for parameter `x`, while parameters `y` and `z` are not specified explicitly consider  default  function .

In this case, the default arguments `1` for parameters `y` and `z` are used.

Therefore, only one default argument is used, specifically the default argument for parameter `y`.

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A slope of 15 simply means that the rate of change of the value on the y-axis with respect to the x-axis is equal to 15.

In Mathematics and Geometry, the slope of any straight line can be determined by using the following mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = rise/run

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

By substituting an assumed data points into the slope formula, we have the following;

Slope (m) = (80 - 20)/(6 - 2)

Slope (m) = 60/4

Slope (m) = 15.

In this context, we can reasonably infer and logically deduce that a slope of 15 denotes the rate of change of a straight line on a graph.

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Answer:

 A representitive sample can be attained if he looks at the age and gender of the people going to the movies.

Step-by-step explanation:

Answer:12

Step-by-step explanation:

Answer:

  9.375 Ω

Step-by-step explanation:

You want the resistance that is equivalent to parallel resistors of 25Ω and 15Ω.

The formula for the equivalent resistance of resistors in parallel is ...

  \(R_{eq}=\dfrac{1}{\dfrac{1}{R_1}+\dfrac{1}{R_2}+\dfrac{1}{R_3}+\dots+\dfrac{1}{R_n}}\)

For the given circuit, we have ...

  \(R_1=25\Omega,R_2=15\Omega\\\\R_{eq}=\dfrac{1}{\dfrac{1}{25}+\dfrac{1}{15}}=\dfrac{1}{\dfrac{3+5}{75}}=\dfrac{75}{8}=9.375\quad\text{ohms}\)

The total resistance of the circuit is 9.375Ω.

__

Additional comment

The current through the fuse is the sum of the currents through the parallel branches of the circuit: I₁ + I₂. For some source voltage E, the sum of those currents is ...

  I₁ + I₂ = E/R₁ + E/R₂

The equivalent resistance is the resistance that gives that same current for that same voltage:

  \(R_{eq}=\dfrac{E}{I_1+I_2}=\dfrac{E}{\dfrac{E}{R_1}+\dfrac{E}{R_2}}=\dfrac{R_1R_2}{R_1+R_2}\\\\\\=\dfrac{25\cdot15}{25+15}=\dfrac{375}{40}=9.375\quad\text{ohms}\)

ANSWER:

The figures are not similar.

STEP-BY-STEP EXPLANATION:

We have to be similar the angles must be equal and the sides must have a constant scale factor.

The angles are not the same.

And we calculate the scale factor for each corresponding side like this

The scale factor is not constant, therefore we can say that the figures are not similar.

Answer: Xmin:

-10

Xmax:

10

Ymin:

-10

Ymax:

10

Step-by-step explanation:

The real interest rate, using the approximation formula, is 0.01 or 1%. This means that after considering the expected inflation rate, the purchasing power of the money grows at a rate of 1%.

The real interest rate can be calculated using the approximation formula: real interest rate = nominal interest rate - expected inflation rate.

We have:

Nominal interest rate (i) = 0.04

Expected inflation rate (+1) = 0.03

Using the formula, we can substitute the given values:

Real interest rate = 0.04 - 0.03

Calculating the difference:

Real interest rate = 0.01

Therefore, the real interest rate, using the approximation formula, is 0.01 or 1%.

The nominal interest rate represents the rate at which money grows in a bank account or investment without considering inflation. On the other hand, the real interest rate takes into account the effects of inflation, allowing us to understand the true purchasing power of the money.

To calculate the real interest rate, we subtract the expected inflation rate from the nominal interest rate. In this case, the nominal interest rate is 0.04 (4%), and the expected inflation rate is 0.03 (3%).

Substituting the values into the formula, we get:

Real interest rate = 0.04 - 0.03

Real interest rate = 0.01 or 1%

Therefore, the real interest rate, in this scenario, is 0.01 or 1%. This means that after accounting for inflation, the purchasing power of the money grows at a rate of 1%.

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9. The given series converges conditionally.

10. The radius of convergence for the given power series is 3, and the interval of convergence is (-2, 4).

9. To determine the convergence of the series ∑\((4n(-1)^n)/(3n^2+ 2n+1)\), we can use the Alternating Series Test. The alternating series has the form ∑\((-1)^n b_n\) ,

where \(b_n = (4n)/(3n^2+ 2n+1)\).

For this series, we can observe that the terms alternate in sign and the absolute values of the terms approach zero as n approaches infinity. Additionally, the sequence {\(b_n\)} is decreasing. Therefore, the given series converges conditionally.

To find the radius of convergence and interval of convergence for the power series ∑\((1/(3^n)) * (x-1)^n\), we can use the Ratio Test. Applying the Ratio Test, we have:

\(\lim_{n \to \infty}\)⁡ \(|(1/(3^{(n+1)})) (x-1)^{(n+1)}|/|(1/(3^n)) (x-1)^n| = |(x-1)/3|\)

For the series to converge, the limit above must be less than 1. Therefore, |(x-1)/3| < 1, which implies |x-1| < 3. This condition defines the interval of convergence.

10. To find the radius of convergence, we consider the endpoints of the interval. The series diverges when x = -2 and x = 4. Therefore, the radius of convergence is the distance between the center of the power series (x = 1) and the nearest endpoint, which is 3.

In summary, the given power series has a radius of convergence of 3 and an interval of convergence of (-2, 4).

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The third pair [(1+2i)(1-2i)] have a real number product and other pairs have complex number.

According to the statement

we have given Following are the pairs of the complex number:

(1+2i)(8i),

(1 + 2i)(2 – 5i)

(1+2i)(1-2i) and (1+2i)(4i)

We have to check which pair out of these is a real number product, which means which pair do not contain terms consisting of "i".

So, For this purpose

we have to multiply these pairs with each other.

So,

(1+2i)(8i) = 8i +16(i)^2

And

(1 + 2i)(2 – 5i) = 2 +4i - 5i +10(i)^2

And

(1+2i)(1-2i) = 1 -4(i)^2 -2i +2i = 1+4 = 5

And

(1+2i)(4i) = 4i + 6(i)^2

From these multiplication we found that the third pair have a real number product.

So, The third pair [(1+2i)(1-2i)] have a real number product and other pairs have complex number.

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Answer:

54.75 is the answer I got

Step-by-step explanation:

first I calculated 75÷1.25 then subtracted the fare which is 5.25

The probability of Alan first selecting a sugar cookie and then selecting a chocolate chip cookie from the bag can be calculated by considering the total number of cookies in the bag and the number of sugar cookies and chocolate chip cookies specifically.

In the given scenario, the bag contains a total of 7 + 6 + 8 + 4 = 25 cookies. The probability of Alan randomly selecting a sugar cookie from the bag is calculated by dividing the number of sugar cookies (8) by the total number of cookies in the bag (25), which is 8/25.

After Alan eats the sugar cookie, the total number of cookies in the bag is reduced to 24 (since one cookie is now removed). The probability of Alan then randomly selecting a chocolate chip cookie from the remaining cookies is calculated by dividing the number of chocolate chip cookies (7) by the total number of remaining cookies in the bag (24), which is 7/24.

To find the overall probability of Alan first selecting a sugar cookie and then selecting a chocolate chip cookie, we multiply the individual probabilities together: (8/25) * (7/24) = 56/600 = 14/150.

Therefore, the probability that Alan reaches in the bag and randomly selects a sugar cookie and then a chocolate chip cookie is 14/150.

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The expected number of rolls needed to generate a number below 1/2 is 1.5, which is rounded to 2.

If we pick a random number between 0 and 1 and generate the next number to be at most the previous number, then the expected number of rolls until the generated number is below 1/2 is 2.

To see why, consider the following strategy:

Roll the die once to generate the first number, X1.

If X1 < 1/2, stop.

Otherwise, continue rolling the die until the generated number is below X1.

Once the generated number is below X1, stop.

Let Y be the number of rolls needed to complete this strategy. If X1 < 1/2, then Y = 1, since we stop immediately. Otherwise, we know that X2 < X1, X3 < X2, and so on until we reach a number Xn < Xn-1 < ... < X2 < X1 that is below 1/2. Thus, we need at least n - 1 additional rolls to complete the strategy.

To find the expected value of Y, we can use the law of total probability:

E(Y) = P(X1 < 1/2) × E(Y | X1 < 1/2) + P(X1 ≥ 1/2) × E(Y | X1 ≥ 1/2)

Since the first roll is uniformly distributed between 0 and 1, we have P(X1 < 1/2) = 1/2 and P(X1 ≥ 1/2) = 1/2.

If X1 < 1/2, then Y = 1, so E(Y | X1 < 1/2) = 1.

If X1 ≥ 1/2, then we need to roll the die until we get a number below X1. Since X1 is uniformly distributed between 1/2 and 1, the expected value of X1 is 3/4. Thus, by the memoryless property of the geometric distribution, the expected number of rolls needed to generate a number below X1 is 2. Therefore, E(Y | X1 ≥ 1/2) = 2.

Substituting these values into the formula for E(Y), we get:

E(Y) = (1/2) × 1 + (1/2) × 2 = 1.5

Therefore, the expected number of rolls needed to generate a number below 1/2 is 1.5, which is rounded to 2.

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Answer:

it should be y= -4x + 10

Step-by-step explanation:

hope this helps.

well, since the y-intercept is at -5, or namely when the line hits the y-axis is at -5, that's when x = 0, so the point is really (0 , -5), and we also know another point on the line, that is (-1 ,6), to get the equation of any straight line, we simply need two points off of it, so let's use those two

\(\stackrel{y-intercept}{(\stackrel{x_1}{0}~,~\stackrel{y_1}{-5})}\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{6}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{6}-\stackrel{y1}{(-5)}}}{\underset{run} {\underset{x_2}{-1}-\underset{x_1}{0}}} \implies \cfrac{6 +5}{-1} \implies \cfrac{ 11 }{ -1 } \implies - 11\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-5)}=\stackrel{m}{- 11}(x-\stackrel{x_1}{0}) \implies y +5 = - 11 ( x -0) \\\\\\ y+5=-11x\implies {\Large \begin{array}{llll} y=-11x-5 \end{array}}\)

Answer:

divide the 70.00 by the four hours

Step-by-step explanation:

Answer:

a=8/2

a=4

Step-by-step explanation:

Answer:

\(a = 4\)

Step-by-step explanation:

\((2a) = 8\)

\(a = \frac{8}{2} \)

\(a = 4\)

Answer:

24

Step-by-step explanation:

12*8*5 =480 current surface

double = 960

so make the 12 into 24 height.

done

Answer:

11 unit

Step-by-step explanation:

Applying,

s = √[(y₂-y₁)²+(x₂-x₁)²]...................... Equation 1

Where s = length of the side formed.

From the question,

Given: x₁ = -2, x₂ = 9, y₁ = 5, y₂ = 5

Substitute these values into equation 1

s = √[(9+2)²+(5-5)²]

s = √(11²)

s = 11 unit.

Hence the length of the side formed by the vertices is 11 unit

Answer:

a. 5/9

b. 1 1/5

c . 1/28

d. 3/10

Step-by-step explanation:

Related questions:

find the product by calculation

a. 5× 1/9

= 5/9

b. 2× 3/5

= 6/5 = 1 1/5

c. 1/7× 1/4

= 1/28

d. 3/4× 2/5​

= 6/20

= 3/10

Answer: 3/4ths of an hour.

Step-by-step explanation:

So we know he grows 2/3rd of a mile in half an hour, but we want to find the time to grow 1 mile at his current rate.

Let's make a ratio of miles to hours

2/3 : 1/2

4 : 3

1: 3/4

So, he can grow 1 mile in 3/4ths of an hour.