Consider regular pentagons with side length s, area a, and perimeter p. Suppose f, g, h, and j are functions such that:
f(s) represents the perimeter (in cm) of a regular pentagon whose side length is s cm.
g(p) represents the side length (in cm) of a regular pentagon whose perimeter is p cm.
h(s) represents the area (in cm2) of a regular pentagon whose side length is s cm.
j(a) represents the side length (in cm) of a regular pentagon whose area is a cm2.
Use function notation (with the appropriate functions above) to represent the area of a regular pentagon whose perimeter is 133 cm.
Use function notation (with the appropriate functions above) to represent the perimeter of a regular pentagon whose area is 6.38 cm2.
Which of the following make sense in context? Select all that apply.
g(f(s))
j(h(s))
f(j(a))
f(h(s))

Answer:

12.56ft

Step-by-step explanation:

Answer:

so graph your first point. (x=2, y=1)

Step-by-step explanation:

Your 5/3 is your rise over run. So go up 5 from 2 you should be at 7 and over 3 from your 1  so your next point would be (x=7, y=4) now get a ruler and connect your two points. make sure to use a ruler to make your line straight.  

To graph a line with a slope of 5/3 and passes through the point (2, 1), we can use the slope-intercept form of a linear equation, which is given by:

y = mx + b

where:

- y and x are the coordinates of any point on the line

- m is the slope of the line

- b is the y-intercept (the point where the line crosses the y-axis)

Given the slope (m = 5/3) and the point (2, 1), we can substitute these values into the equation and solve for the y-intercept (b):

1 = (5/3)(2) + b

1 = 10/3 + b

To isolate b, we subtract 10/3 from both sides:

1 - 10/3 = b

-7/3 = b

Now we have the values of m and b, so we can write the equation of the line:

y = (5/3)x - 7/3

To graph the line, we plot the y-intercept at (0, -7/3), and then use the slope (5/3) to find additional points on the line.

Since the slope is positive, we can move up 5 units vertically and 3 units horizontally from the y-intercept to find another point. We repeat this process to find more points if needed.

Thus, using this, one can plot the graph.

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Step-by-step explanation:

I hope the answer helps u dear

Answer:

$324.33

Step-by-step explanation:

the answer is $324.33

The amount of interest capitalized is greater than the minimum amount that she could pay to prevent interest capitalization by; D: $324.33

We will use the formula: A = P(1 + r/n)^(nt)

Where:

A = final amount

P = initial principal ($9300)

r = interest rate (6.4% or 0.064)

n = number of times interest applied per time period

t = number of time period elapsed.

Thus;

9300(1 + 0.064/12)^(12*4) - 9300 = $2705.13

Also;

9300(0.064/12) * 4 * 12 = $2380.8

Answer = $2705.13 - $2380.8

Answer = $324.33

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The probability that a randomly chosen test-taker will score between 470 and 530 is 0.2358 (or 23.58% when expressed as a percentage).

To solve this problem, we need to use the standard normal distribution formula:
Z = (X - μ) / σ
where Z is the standard score (z-score) of a given value X, μ is the mean, and σ is the standard deviation.
First, we need to convert the given values of 470 and 530 to z-scores:
Z1 = (470 - 500) / 100 = -0.3
Z2 = (530 - 500) / 100 = 0.3
Next, we need to find the probability that a randomly chosen test-taker will score between these two z-scores.

We can use a standard normal distribution table or a calculator to find the area under the curve between -0.3 and 0.3.
Using a calculator or an online tool, we find that the area under the curve between -0.3 and 0.3 is approximately 0.2358.

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Answer: y-4=-2(x-1)

Step-by-step explanation: So just use the point slope equation of  y-y^1=m(x-x^1)

A multiplier of 1.2 means the value is multiplied or increased by a factor of 1.2.

A multiplier is a term used to represent a factor by which a value is multiplied or increased. It is a numeric value that indicates the extent of the increase or expansion of a given quantity. Multiplication by a multiplier results in scaling or changing the magnitude of the original value.

A multiplier of 1.2 indicates that a value will be increased by 20% or multiplied by a factor of 1.2. This means that when the multiplier is applied to the original value, the resulting value will be 1.2 times the original.

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I already answered this question to this student today. Student unresponsive.

Answer:

A) -1.7 x 10^-4 D)-0.00017

Step-by-step explanation:

Since its negative in the base B and C wont work. The negative in the exponent means the decimal moves left which exclude E.

Answer:

A) -1.7 x 10^-4 D)-0.00017

Step-by-step explanation:

Since its negative in the base B and C wont work. The negative in the exponent means the decimal moves left which exclude E.

Step-by-step explanation:

In order to get the mean, sum all the 20 values and divide the result by 20, the rounded mean is 0.30.

The mode is the most frequent number or numbers, therefore, the mode is 0.286.

In order to get the median, the data must be ordered, then we choose the middle value, in this case, there are 20 values, then select the tenth and the eleventh, sum them and divide the result by 2, then the median is 0.291.

Answer:

\(328units^2\)

Step-by-step explanation:

First off,  I do want to say that you could word this more easily.

98 is the perimeter. length is 41. width is 8.

the area is length*width for rectangles.

98-41=57

57-41=16

16/2=8

8*41=328 units^2

The volume of the sphere is  0. 52 ft³

To determine the volume, we need to know the formula

Hence, the formula that is used for calculating the volume of a sphere is expressed as;

V = 4/3 πr³

Such that the parameters of the formula are;

Substitute the values, we have that;

Volume = 4/3 ×3.14 × 0.5³

Find the cube value

Volume = 4/3 × 3.14 × 0.125

Multiply the values

Volume = 1.57/3

Divide the values

Volume = 0. 52 ft³

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Answer: 1 pigeon is $320

1 love bird is $80

Step-by-step explanation:

Let the cost for 1 love bird be represented by x

Let the cost for 1 pigeon be represented by y.

Since John bought 8 birds and 6 pigeons for $2400. This will be:

8x + 6y = 2400 ...... i

If he had bought 1 more pigeon and 2 fewer birds, he would have paid $200 more. This will be:

6x + 7y = 2600 ...... ii

8x + 6y = 2400 ...... i

6x + 7y = 2600 ...... ii

Multiply equation i by 6

Multiply equation ii by 8

48x + 36y = 14400 ...... iii

48x + 56y = 20800 ...... iv

Subtract iii from iv

20y = 6400

y = 6400/20

y = 320

1 pigeon is $320

From equation i

8x + 6y = 2400

8x + 6(320) = 2400

8x + 1920 = 2400

8x = 2400 - 1920

8x = 480

x = 480/8

x = 60

1 love bird is $80

Answer:

6

i started with 9 and counted up untell i got to 15

The medicine bottle has 120 doses of 100 miligram each.

As per the known fact, 1000 miligram is 1 gram. So, the amount of medicine in the bottle in milligrams = 12×1000

Performing multiplication on Right Hand Side of the equation

Amount of medicine in bottle = 12000 milligrams.

Now, number of dose of 100 miligram medicine = 1

Amount of dose of 12000 miligram medicine = (1/100)×12000

Performing division and multiplication on Right Hand Side of the equation

Amount of doses in 12000 miligram medicine = 120

Thus, there are 120 doses in a medicine.

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To find the equation of the sphere tangent to the plane 2x + 3y - 6z = 5 with center C(-2, 3, 7), we need to find the radius of the sphere. The equation of the sphere is (x + 2)^2 + (y - 3)^2 + (z - 7)^2 = 36.

The distance from the center of the sphere to the plane is equal to the radius. We can use the formula for the distance between a point (x, y, z) and a plane Ax + By + Cz + D = 0:

Distance = |Ax + By + Cz + D| / sqrt(A^2 + B^2 + C^2)

In this case, the plane equation is 2x + 3y - 6z - 5 = 0. Plugging in the coordinates of the center C(-2, 3, 7) into the formula, we have:

Distance = |2(-2) + 3(3) - 6(7) - 5| / sqrt(2^2 + 3^2 + (-6)^2)

= |-4 + 9 - 42 - 5| / sqrt(4 + 9 + 36)

= |-42| / sqrt(49)

= 42 / 7

= 6

So, the radius of the sphere is 6.

The equation of a sphere with center C(-2, 3, 7) and radius 6 is:

(x + 2)^2 + (y - 3)^2 + (z - 7)^2 = 6^2

Simplifying further, we have:

(x + 2)^2 + (y - 3)^2 + (z - 7)^2 = 36

Therefore, the equation of the sphere is (x + 2)^2 + (y - 3)^2 + (z - 7)^2 = 36.

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Paula will use 20 oz of sauce and 80 oz of cheese to make 5 pizzas.

We can use the rate of use of pizza sauce and cheese to determine how much of each ingredient Paula will use to make 5 pizzas.

From the information provided, we can see that for every 4 oz of sauce, Paula uses 16 oz of cheese. We can use this ratio to determine the amount of sauce and cheese used for any number of pizzas.

To make 5 pizzas, Paula will use 4 x 5 = 20 oz of sauce and 16 x 5 = 80 oz of cheese.

So, Paula will use 20 oz of sauce and 80 oz of cheese to make 5 pizzas.

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Based on the information, we can infer that the estimated fish population size is 113

To estimate the size of the fish population we can apply the Petersen method in which we must take two previous samples and apply the following formula:

So we just have to replace the values:

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The polynomial equation  0 = 3x⁵ − x⁴ − 5x² + 1 contains 2 complex roots as a result.

Describe a polynomial.

A mathematical expression that contains at least two terms with variables or integers is referred to as a polynomial. A polynomial may include several terms.

Below is a polynomial equation that is given:

0 = 3x⁵ − x⁴ − 5x² + 1

Which can also be written as

3x⁵ − x⁴ − 5x² + 1 = 0

A polynomial of degree 5 is used in the accompanying polynomial equation.

Using a graphing application to solve it graphically is the simplest approach.

The polynomial equation obviously has a maximum of 5 roots because it is an equation of degree 5.

Now that we have the graph, we can use it to find the equation's roots.

There are 2 complex roots because there are only 3 real roots and 2 remaining are complex roots.

The polynomial equation  0 = 3x⁵ − x⁴ − 5x² + 1 contains 2 complex roots as a result.

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Answer:

120 in^2

Step-by-step explanation:

Darwin's geometric ratio of increase pertains specifically to the growth rate of populations in biological organisms. According to Darwin's theory of evolution, populations have the potential to increase exponentially over time if certain conditions are met. The geometric ratio of increase, often denoted as "r" or the intrinsic rate of natural increase, represents the factor by which a population multiplies during each reproductive cycle or generation.

In the context of natural selection, individuals with higher reproductive rates (higher r-values) have a greater chance of passing on their genetic traits to the next generation. Over time, this can lead to significant population growth and evolutionary changes within a species. However, the geometric ratio of increase is limited by various factors, such as availability of resources, competition, predation, and environmental constraints, which can result in a balance between population growth and environmental carrying capacity.

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Answer:

(Explained+) 3. H(0,5) I(-5, -4) ((i would think so)) 4. Q(4, -1) S(2, -3)

Step-by-step explanation:

Simple ver: try counting over the same distance from the other points to then shape it on the other side (y axis). For the x axis, turn your head and make it look symetrical. To the other triangle.

As for the cordinates, split it into the 4 quadrants(squares) and keep track of if x or y turns negative or positive. I'd suggest writing it with each transition until you have your final answer if you are unsure.

Whenever a set X is a subset of set Y, we say the Y is a superset of X and we write, Y ⊇ AX.

Symbol ⊇ is used to denote ‘is a super set of’

In a linear grammar, for all productions, there is at most one variable on the left side of any production. This means that each production consists of a single nonterminal symbol and a string of terminal symbols.

For instance, consider the following linear grammar:
S → aSb | ε
This grammar is linear because each production has only one nonterminal symbol on the left-hand side. The first production has S on the left-hand side, and it generates a string of terminal symbols (a and b) by concatenating them with another instance of S.

The second production has ε (the empty string) on the left-hand side, indicating that S can also generate the empty string.A linear grammar is a type of formal grammar that generates a language consisting of a set of strings that can be generated by a finite set of production rules. In a linear grammar, all productions have at most one nonterminal symbol on the left-hand side.

This makes the grammar easier to analyze and manipulate than other types of grammars, such as context-free or context-sensitive grammars.

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Answer:

40

Step-by-step explanation:

4/5 * q = 32

First you divide 4/5 by itself so you can eliminate it from the equation and then you have to divide 32 by 4/5 n when you do that you get 40. So q = 40.

The last two rows of the table should be completed as follows:

Input   Output

8       22.80

10      28.50

An algebraic expression is a mathematical phrase that contains numbers, variables, and operations. It is used to represent a single quantity or value, and can be written in terms of one or more variables.

The rule given is an algebraic expression, x, which is the input, multiplied by 2.85, which is the output. Using this information, we can determine the cost of 10 muffins.

To find the cost of 10 muffins, we can use the algebraic expression given. First, we will multiply 10, the number of muffins, by 2.85, the cost of one muffin. This gives us a total of 28.50. Therefore, the cost of 10 muffins is 28.50.

Using this same rule and process, we can also determine the cost of any number of muffins. For example, if we want to know the cost of 15 muffins, we can simply multiply 15 by 2.85, giving us a total of 42.75.

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Answer:

The bill is 30.07

Step-by-step explanation:

First find the total of the non-food items

3 *25.0 for the magazines = 7.50 plus 4.40 for the cleaning supplies

11.90

Multiply this by 6.50% to find the tax

11.90*.065 =.77

Add the tax to the total of the non food items

11.90+.77=12.67

Now add the food items

12.67+17.40

30.07

The bill is 30.07

Answer:35N

Step-by-step explanation:

Cross multiply and divide to find the missing value

Answer:

The product of (x+7)^2 is (x+7)(x+7) = x^2 + 14x + 49

Step-by-step explanation: