I can ride my bike 8 miles in 2 hours. How many feet can I ride per minute?

Answer:

\( - \frac{2}{9} \)

Step-by-step explanation:

when multiplying fractions, you can multiply the numerators and denominators across.

\( \frac{ - 1 \times 2}{3 \times 3} \)

simplify

\( \frac{ - 2}{9} \)

An order-preserving function is one where x < y implies f(x) < f(y). An isomorphism is a one-to-one order-preserving function between two partially ordered sets, while an automorphism is an isomorphism of a set to itself.

In the given excerpt, it explains the concepts of order-preserving functions, isomorphisms, and automorphisms in the context of partially ordered sets.

Order-Preserving Function:

A function f: P -> Q, where P and Q are partially ordered sets, is said to be order-preserving if for any elements x and y in P, if x < y, then f(x) < f(y). In other words, the function preserves the order relation between elements in P when mapped to elements in Q.

Increasing Function:

If P and Q are linearly ordered sets, then an order-preserving function is also referred to as an increasing function. It means that for any elements x and y in P, if x < y, then f(x) < f(y).

Isomorphism:

A one-to-one function f: P -> Q is called an isomorphism of P and Q if it satisfies two conditions:

a. f is order-preserving: For any elements x and y in P, if x < y, then f(x) < f(y).

b. f is onto (surjective): Every element in Q has a pre-image in P.

When an isomorphism exists between (P, <) and (Q, <), it means that the two partially ordered sets have a structure that is preserved under the isomorphism. In other words, they have the same ordering relationships.

Automorphism:

An automorphism of a partially ordered set (P, <) is an isomorphism from P to itself. It means that the function f: P -> P is both order-preserving and bijective (one-to-one and onto). Essentially, an automorphism preserves the structure and order relationships within the same partially ordered set.

These concepts are fundamental in understanding the relationships and mappings between partially ordered sets, particularly in terms of preserving order, finding correspondences, and exploring the symmetry within a set.

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The price of the iphone can be modeled by the following expression:

where,

A: price of the iphone after t years

P: initial price = 1099

r: rate of percetage decrease in decimal for = 0.25

t: years

Then, the function becomes:

The price of the iphone after t = 3 years, according to the previous expression is:

Hence, the price of the iphone after 3 years would be $463.64

sin²x sec²x +1 = tan²x cosec²x is an Identity and therefore Option C is an Identity.

Trigonometric Identities are based on Trigonometric ratios , these are useful in conversion of the ratios into each other and to solve the problems of Trigonometry.

There are four Identities Given

Among them Option C is an Identity because on solving it

sin²x sec²x +1 = tan²x cosec²x

(sin²x/cos²x) +1 = sin²x / (sin²x cos²x)

sin²x +cos²x = 1

Which is an Identity and

therefore Option C is an Identity.

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Answer: I believe

M = 80

Step-by-step explanation:

100 - 20 = 80

The frequencies will be Red : 6, Blue: 4, Green: 8, Yellow : 1 (half of 2), Pink: 1 (half of 2).

It is defined as the frequency that can be evaluated by the two-way frequency table. Usually, we can obtain this frequency by dividing the frequency that is not in the total frequency cell to total frequency.

It is given that:

24 children were asked which is their favourite colour from a choice of red, blue

green or yellow

From the data given in the question.

Red : 6

Blue: 4

Green: 8

Yellow : 1 (half of 2)

Pink: 1 (half of 2)

Thus, the frequencies will be Red : 6, Blue: 4, Green: 8, Yellow : 1 (half of 2), Pink: 1 (half of 2).

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Answer:

n° = 69°

Step-by-step explanation:

n° = 69°

since AY = 111° , it is equal to XD , and XY = 180°.

180° - 111° = 69°

XB = 111° , XA = 69° , CY or YC = 111° , YD = 69°

I just confused myself, im not sure if this is helpful but I tried

4x + 2x = 3x + 18

6x = 3x + 18

6x - 3x = 18

3x = 18

x = 18/3

x = 6

Answer:

100%  probability that the loss in nominal dollars is less than 1000, given that the loss in nominal dollars is greater than 200.

Step-by-step explanation:

Uniform probability distribution:

An uniform distribution has two bounds, a and b.

The probability of finding a value of at lower than x is:

\(P(X < x) = \frac{x - a}{b - a}\)

The probability of finding a value between c and d is:

\(P(c \leq X \leq d) = \frac{d - c}{b - a}\)

The probability of finding a value above x is:

\(P(X > x) = \frac{b - x}{b - a}\)

Uniformly distributed on [0, 1000].

This means that \(a = 0, b = 1000\)

Given that the loss in nominal dollars is greater than 200.

This means that \(a = 200\)

Calculate the probability that the loss in nominal dollars is less than 1000

\(P(X < x) = \frac{x - a}{b - a}\)

\(P(X < 1000) = \frac{1000 - 200}{1000 - 200} = 1\)

100%  probability that the loss in nominal dollars is less than 1000, given that the loss in nominal dollars is greater than 200.

Answer:

Part A: The relationship between the length of the two secants (H and G) are about  15 inch^2 considering the segments formed from the secants are about 1/5th the size of the circle.

Part B: Considering the points CG (3), CH (2) and GE (5) It would be possible to find estimated value based off the given values for each points compromised.

Step-by-step explanation:

Answer:

Area = 7822.61542 km²

Step-by-step explanation:

Área of a circle is:

area = π (d/2)²

π = 3.1416

d = diameter

In this case:

area = 3.1416 * (99.8/2)²

area = 3.1416 * 49.9²

area = 3.1416 * 2490.01

area = 7822.61542km²

You can identify that the following is a Decimal number:

In order to convert a Decimal number to an Equivalent fraction, you can follow the steps shown below:

1. You need to write the Decimal number 0.005 as the numerator of the fraction and the denominator must be 1:

2. Now you can multiply the numerator and the denominator by 1,000, in order to remove the decimal places of the numerator (notice that it has three decimal places):

3. Finally, you have to reduce the fraction. Notice that you can divide the numerator and the denominator by 5. Then, you get:

The answer is:

The three true statements are as follows:

In the list, there are several true statements and some of them include the facts that all triangles are polygons, they are closed figures and they have three straight sides.

A polygon is a shape with two or more sides. Triangles ahve three sides, so we can easily address them as polygons. Also, all triangles are closed figures and they also have three straight sides.

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The simplification of the expression -5.2t+8.2-7.8t is 8.2-13t

Simplification of expression is just another way to say solving a math problem. When you simplify an expression, you're basically trying to write it in the simplest way possible. At the end, there shouldn't be any more adding, subtracting, multiplying, or dividing left to do.

For example, 2x+5y-8x + y can be simplified by collecting like terms. The variables here are x and y

therefore 2x-8x+5y+y = 6y - 6x = 6( y-x)

Similarly, simplifying -5.2t+8.2-7.8t, we collect the term of t' together.

-5.2t-7.8t+8.2= -13t+8.2

= 8.2-13t

therefore the simplification of -5.2t+8.2-7.8t is 8.2-13t

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If the two angles are complementary, then their sum is 90 degrees.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.

Complementary angle - Two angles are said to be complementary angles if their sum is 90 degrees.

If the two angles are complementary, then their sum is 90 degrees.

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A fraction is a part of a whole.

\(\huge\bold{EXPLANATION:}\)

A fraction is a part of a whole.

Fractions should be equal parts.

Example: Suppose you have a cake, and you want to divide it equally between your friends.

Let's assume there are 4 people (including you)

So, you take a knife and cut the cake into 4 equal parts.

Everyone gets a part of the cake. If the parts are equal, then we have fractions.

How to Write Fractions

Fractions are written with a numerator and a denominator.

A fraction looks like so:

\(\displaystyle\frac{1}{4}\)

In the above example, 1 is the numerator, and 4 is the denominator.

Let's use the cake example to clarify some doubts that you might have.

Suppose we have 4 girls: Angelia, Grace, Violetta and Hope, and a delicious cake.

Angelia takes a knife and cuts the cake into 4 equal parts, and everyone gets \(\displaystyle\frac{1}{4}\) of the cake.

Now, here's what I wanted to tell you:

\(\star\star\star\) There was a total of 4 pieces of the cake (the denominator shows that),

\(\star\) Each girl gets 1 out of 4 parts (\(\frac{1}{4}\))

What does \(\displaystyle\frac{1}{4}\) mean?

It means one-fourth, and it also means this:

There were 4 parts, and one of them was taken.

Hope you find it helpful.

Feel free to ask if you have any doubts, since I know a lot about fractions.

\(\bold{-MistySparkles^**^*}\)

Answer:

(75y+25)

Step-by-step explanation:

Rectangle area= W x L

where L is Length and W is Width.

So,

Area= (3y+1).25

       = (75y+25) miles

The given values into the equation AE = 2a + 10. Therefore, The value of AE is 3 - x.

To find the value of AE, we can substitute the given values into the equation AE = 2a + 10.

Given:

AB = 10

AE = 2a + 10

ED = x + 3

CD = 4

Since AB is a segment on the line, it can be divided into AE and ED. Therefore, AB = AE + ED.

We know that AB = 10 and CD = 4. So, if we subtract CD from AB, we get AE + ED = 10 - 4.

AE + ED = 6.

Now, we can substitute the value of ED, which is x + 3, into the equation: AE + x + 3 = 6.

To find the value of AE, we need to isolate it on one side of the equation. Let's subtract x and 3 from both sides:

AE = 6 - x - 3.

Simplifying further, we get;

AE = 3 - x.

Therefore, the value of AE is 3 - x.

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Answer:

200

Step-by-step explanation:

41 x 5 = 205

20% x 5 = 100%

There's 26 letters

There's 5 vowels

35% chance

Answer:

15wz² - 2wz³

Step-by-step explanation:

when collecting like terms the terms must have the same variables, with variables having the same exponents.

(15wz² + 3wz³) - 5wz³ ← remove parenthesis

= 15wz² + 3wz³ - 5wz³ ← collect like terms

= 15wz² + (3wz³ - 5wz³)

= 15wz² + (- 2wz³)

= 15wz² - 2wz³

Comparing the median of each box-and-whisker plot, the type of transportation that is LEAST likely to take more than 30 minutes is: d. train.

How to Interpret a Box-and-whisker Plot?

In order to determine the transportation that is LEAST likely to take more than 30 minutes, we have to compare the median of each data set represented on the box-and-whisker plot for each transportation.

The box-and-whisker plot that has the lowest median would definitely represent the the transportation that is LEAST likely to take more than 30 minutes, since median represents the typical minutes or center of the data.

Therefore, from the box-and-whisker plots given, the one for train has the lowest median. Therefore train would LEAST likely take more than 30 minutes.

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Answer:

1 the line hits the y line at 1

Answer:

36

Step-by-step explanation:

All the functions which are bounded below and bounded above are,

⇒ Absolute value function.

⇒ sine function function

⇒ cosine function

We have to given that;

To check all the functions which are bounded below and bounded above.

Here, All the functions are,

⇒ Absolute value function.

⇒ sine function function

⇒ cosine function

⇒ Square root function

⇒ natural logarithmic function

Since, The Absolute value function is defined as;

⇒ | f (x) |

And,

⇒ | f (x) | ≤ M ; for M > 0

⇒ - M ≤ f (x) ≤ M

Hence, It is a bounded function.

Since, Sine and cosine function are defined in between 1 and - 1.

Hence, Both are bounded below by - 1 and bounded above by 1.

So, Both function are bounded.

Since, Square root function is defined as,

⇒ √ f (x) ≥ 0

Hence, It is only bounded below.

Since, When the base of the logarithm is greater than 1, log(x) approaches negative infinity as x approaches 0.

Hence, It is not bounded.

Thus, All the functions which are bounded below and bounded above are,

⇒ Absolute value function.

⇒ sine function function

⇒ cosine function

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No change in area if sides of rectangle are equal.

Hope this helps.

Answer:

-7 ≤y≤0

Step-by-step explanation:

The range is the values for y

Y goes from -7 inclusive to 0 inclusive

-7 ≤y≤0