Find the number of faces, edges, and vertices of a pentagonal prism.
(blank) faces,
(blank) edges
(blank)vertices

Answer:

Y = 1x + 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let's see what to do buddy...

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The sum of the angles of each n-sided figure is found in the following equation :

\((n - 2) \times 180 \)

The question's figure is 5-sindes figure

so the sum the angles equal :

\((5 - 2) \times 180 = 3 \times 180 = 540 \\ \)

So we have :

\(90 + 107 + 144 + 138 + x = 54 0 \\ \)

\(479 + x = 540\)

Subtract the sides of the equation minus 479

\(x = 540 - 479\)

\(x = 61\)

And we're done.

Thanks for watching buddy good luck.

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Answer:

Step-by-step explanation:

1

Answer:

6 and 7

Step-by-step explanation:

consider perfect squares either side of 43

36 < 43 < 49 , then

\(\sqrt{36}\) < \(\sqrt{43}\) < \(\sqrt{49}\) , that is

6 < \(\sqrt{43}\) < 7

Step-by-step explanation:

we know that

36<43<49

take square root

√36<√43<√49

6<√43<7

so, two integers 6 and 7 are close to root 43

Answer:

13.7

Step-by-step explanation:

I just did the problem

Answer:

\({ \tt{slope = \frac{7 - 1}{0 - ( - 2)} = 3 }} \\ \\ { \tt{y = mx + c}} \\ { \boxed{ \bf{y = 3x + 7}}}\)

The length of the track from the square computed is 6.3 feet

The area of the square is defined as the product of the length and width.

Given that area of the square is 40 square feet.

The sides can be found by taking the square root of the area.

The area of the square = s², where s = side.

⇒ s =√(Area)

⇒ s = √(40) = 6.3

Therefore, the length of one side of the square is 6.3 feet.

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The initial price of the option should be $5.04 to avoid an arbitrage opportunity. To determine the initial price of the option, we can use the Black-Scholes option pricing model, which takes into account the stock price, time to expiration, interest rate, volatility, and the strike price.

The formula for calculating the price of a call option using the Black-Scholes model is:

C = S * N(d1) - X * e^(-r * T) * N(d2)

Where:

C = Option price (to be determined)

S = Current stock price = $50

N() = Cumulative standard normal distribution

d1 = (ln(S / X) + (r + σ^2 / 2) * T) / (σ * sqrt(T))

d2 = d1 - σ * sqrt(T)

X = Strike price = $55

r = Interest rate = 5% or 0.05

σ = Volatility = 0.15

T = Time to expiration = 2 years

Using these values, we can calculate the option price:

d1 = (ln(50 / 55) + (0.05 + 0.15^2 / 2) * 2) / (0.15 * sqrt(2))

d2 = d1 - 0.15 * sqrt(2)

Using standard normal distribution tables or a calculator, we can find the values of N(d1) and N(d2). Let's assume N(d1) = 0.4769 and N(d2) = 0.4515.

C = 50 * 0.4769 - 55 * e^(-0.05 * 2) * 0.4515

C = 23.845 - 55 * e^(-0.1) * 0.4515

C ≈ 23.845 - 55 * 0.9048 * 0.4515

C ≈ 23.845 - 22.855

C ≈ 0.99

Therefore, the initial price of the option should be approximately $0.99 to avoid an arbitrage opportunity. Rounded to two decimal places, the price is $0.99.

To prevent an arbitrage opportunity, the initial price of the option should be $5.04. This ensures that the option price is in line with the Black-Scholes model and the prevailing market conditions, considering the stock price, interest rate, volatility, and time to expiration.

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Answer: 40%

Step-by-step explanation:

Take 170 divided by 425, then times 100% = 40%

So 40% of the guests ordered food!

Answer:6|g4

Step-by-step explanation:

Answer:

/2x+3/=10

2x+3=10 or 2x+3=-10

2x=10-3 or 2x=-10-3

2x=7 or 2x=-13

X=7÷2 or X=-13÷2

X=3.5 or X=-6.5

When the range of one or both of the variables is restricted, the correlation will likely be reduced. This is because correlation measures the strength of the relationship between two variables, and when the range is restricted, it means that there are fewer data points available to analyze.

As a result, the correlation coefficient may not accurately reflect the true relationship between the variables. For example, let's say we are looking at the correlation between hours of exercise per week and weight loss. If we only study people who exercise between 2-4 hours per week, the range of exercise hours is restricted. We may find a correlation coefficient of 0.6, indicating a moderate positive relationship between exercise and weight loss. However, if we expand the range to include people who exercise 0-10 hours per week, the correlation coefficient may decrease to 0.4, indicating a weaker relationship.

In summary, when the range of one or both variables is restricted, it is important to interpret the correlation coefficient with caution and consider the limitations of the data.

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Answer:

c

Step-by-step explanation:

edge 2020

Answer:

It is C Isosceles right triangle

Step-by-step explanation:

BC there is a right angles and AB and BC are congruent.

1. The meters of fencing that he installed on each day will be 6.54 meters.

2. The amount of money that Jenny will make will be $127.05.

1. Number to be installed = 42.6m

It should be noted that the person already installed on Monday and Tuesday. Therefore, the amount to install from Wednesday to Friday will be illustrated as:

= (42.6) - (13.45 + 9.5) / 3

= 42.6 - 22.95 / 3

= 6.54 meters per day.

2. The amount of money that Jenny will make will be:

= (9.15 × 9) + (7.45 × 6)

= 82.35 + 44.7

= $127.05

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Show calculations

Show calculations

Show calculations Show calculations

i just got some free money off of you kid

Answer:

2/3

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

y=mx+b

M=slope B=Y-intercept

It is true that given a fixed point and a fixed line, a parabola consists of all points that are equidistant to the fixed point and the fixed line.

A parabola is a quadratic function graph .A parabola is a curve equation in which a point on the curve is equidistant from a fixed point and a fixed line.

The fixed point is known as the parabola's focus, and the fixed line is known as the parabola's directrix. It is also worth noting that the fixed point does not lie on the fixed line.

A parabola is a locus of any point that is equidistant from a given point (focus) and a given line (directrix). The parabola is a significant curve of the coordinate geometry's conic sections.

The general equation of a parabola is: y = a(x-h)² + k or x = a(y-k)² +h, where (h,k) denotes the vertex.

The standard equation of a regular parabola is y² = 4ax.

It's true that given a fixed point and a fixed line, a parabola consists of all points that are equidistant to the fixed point and the fixed line.

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The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input.

The collection of all potential inputs for a function is its domain. For instance, the domain of f(x)=x2 and g(x)=1/x are all real integers with the exception of x=0.

Think about the function y = f. (x). The range of the function is the range of all the y values, from least to maximum. Substitute all possible values of x into the provided expression of y to see whether it is positive, negative, or equal to other values.

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Based on the given input and output values, we can conclude that the relationship is not linear.

No, the relationship between the given input values (1, 2, 3, 4) and output values (46, 39, 32, 25) is not a linear function. In a linear function, the relationship between the input and output values can be described by a straight line. However, if we plot the given points on a graph, we can observe that they do not form a straight line. Instead, they form a pattern that is not linear.

A linear function can be represented by the equation y = mx + b, where "m" is the slope of the line and "b" is the y-intercept. In this case, there is no constant slope that can be applied to the input values to obtain the corresponding output values. The difference between the consecutive output values is not constant, indicating a non-linear relationship.

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Answer:

b. (3 x 6) + (2 x 12) + (20 x 18)

Step-by-step explanation:

Number of cartons containing 6 eggs

Number of cartons containing 12 eggs

Number of cartons containing 18 eggs

So,

expression that represents the problem is given by

Number of cartons containing 6 eggs + Number of cartons containing 12 eggs + Number of cartons containing 18 eggs = (3 x 6) + (2 x 12) + (20 x 18)

Answer:

Step-by-step explanation:

Tan 22 = \(\frac{opposite \ side}{adjacent \ side}\)

\(tan \ 22 = \frac{30}{x}\\\\0.4040 = \frac{30}{x}\\\\0.4040*x = 30\\\\x = \frac{30}{0.4040}\\\\x = 74.25\\\\x = 74.3\)

Answer:

Sin= opp/hyp

Sin22= 30/x

0.3746=30/x

cross multiply

0.3746x=30

make x the subject of the formula

x= 30/0.3746

x=80

When you divide exponents you subtract the bottom one from the top one. The correct answer would be the first choice.

The expression should simplify to: X^4

Overall, Mexican folk music has had a profound and long-lasting expression influence on American music, and its influence can be heard in countless songs and styles from a wide range of genres.

An expression in mathematics is a collection of characterizations, digits, and huge corporations that depict a statistical correlation but rather regimen. A sequence of numbers, a mutable, or a mix of the two can be used as an expression. Mathematical operators include adding, subtraction, rapid spread, division, and exponentiation. Expressions are widely used in arithmetic, mathematics, and shape. They are used in the representation of mathematical formulas, the solution of equations, and the simplification of mathematical relationships.

Mexican folk music has had a significant impact on American music, particularly in folk and popular music. Mexican folk music is known for its powerful rhythms, strong melodies, and rich harmonies, all of which have been adopted and adapted by American musicians over the years.

Mexican folk music has contributed a rich tradition of songwriting and storytelling to American music, in addition to its instrumental influence. Many Mexican folk songs are about love and family.

Overall, Mexican folk music has had a profound and long-lasting influence on American music, and its influence can be heard in countless songs and styles from a wide range of genres.

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The correct question is -

Mexico brought much to the making of American folk music. Major themes of Mexican songs are love Of family and music. Mexican folk music is frequently accompanied by the 12-string guitar and is credited with influencing the popula Of the instrument in American music.

The expected value of the estimator equals the true parameter.

The estimator  is calculated as the intercept of the linear regression model.

It represents the average difference between the predicted values and the actual values of the dependent variable, given a fixed value of the independent variable.

If the estimator is unbiased, the expected value will be equal to the true parameter. .

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The equation  of the line  in slope-intercept forms expressed as: y = y = 1x + 3

How to Write the Equation of a Line?

To wrote the equation of a line in slope-intercept form, first, find the slope (m) of the line, determine the y-intercept (b) of the line, then substitute the values into y = mx + b (equation in slope-intercept form).

Using two points on the line, (0, 3) and (4, -1):

Slope (m) = change in y / change in x = (3 - -1)/(0 - 4)

Slope (m) = 4/-4

Slope (m) = -1

The slope of the line is m = -1.

Find the y-intercept (b) by substituting one point, (x, y) = (0, 3), and m = -1 into y = mx + b and solve for b:

3 = 1(0) + b

3 = 0 + b

b = 3

Write the equation of the line by substituting b = 3 and m = -1 into y = mx + b:

y = 1x + 3

Thus, the equation in slope-intercept form of the line is expressed as: y = 1x + 3

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