please help!! I need step by step explaining too so I can understand thank you ​

Answer:

the answer is B

x = 1

Step-by-step explanation:

the symmetry is in the middle of the curve like a mirror and the equation of the mirror or symmetry line is x=1

Answer: 30

Hard to type on here. But I just did: 180-130= 50-20=

30 degrees

The required measure of ∠RST is 100° for the given triangle.

Triangle is defined as a basic polygonal shape of a triangle that has three sides and three interior angles. It is one of the fundamental shapes in geometry and is represented by the symbol Δ.

As per the given figure, we have

∠SRT = 40° and ∠STR = 40°

We have to determine the measure of ∠RST

In triangle SRT,

Since the angle of sum property asserts that the sum of all triangle's angles is 180°.

So, ∠SRT + ∠RTS + ∠RST = 180°

40° + 40° + ∠RST = 180°

80° + ∠RST = 180°

Subtract 80 from both sides of the above equation,

∠RST = 180° - 80° = 100°

Therefore, the required measure of ∠RST is 100°

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The missing figure has been attached below.

Answer:

81.68 mm

Step-by-step explanation:

C = πd = π · 26 ≈ 81.68141 mm

Step-by-step explanation:

Since the initial fee is fixed, we can assume it is a constant and the succeeding mile fee is the variable as it changes for every mile covered.

Let x = distance (mile)

let y = total charge (dollars)

Yellowcab company equation for cost calculation;  3.50 + 2.5x = y

laxicab company equation for cost calculation;  4.54+2.3x = z

the two companies charge the same amount when y = z

; 3.50 + 2.5x = 4.54+2.3x

x = 5.2 miles

COST CALCULATION

;3.50 + 2.5x = ?

if x = 5.2;

; 3.50 + 2.5(5.2) =$16.50

OR

; 4.54+2.3x = ?

; 4.54 + 2.3(5.2) = $16.50

Answer:

\(area = length \times width \\ = (2x + 7)(3x - 4) \\ = (6 {x}^{2} - 8x + 21x - 28) \\ = (6 {x}^{2} + 13x - 28) \: sq \: units\)

The area of the rectangle PQRS is given by the formula D) 6x²+13x-28.

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

The area of a rectangle is given by the formula:

A = l × w, where l is the length and w is the width.

In this case,

The length is 2x + 7 and the width is 3x - 4.

Therefore, the area of the rectangle is:

\(A = (2x + 7)(3x - 4)\\A = 6x^2 - 8x + 21x - 28\\A = 6x^2 + 13x - 28\)

Therefore, the expression that describes the area of rectangle PQRS is D) 6x²+13x-28.

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Answer:

x = 87

Step-by-step explanation:

the ratio SR / RV is equal the ratio ST / TU (both ratios are equal to 1), and the angle in the vertex S is the same for both triangles SUV and STR, so we can affirm that these triangles are similar (case S-A-S).

Then, we have that the ratio SR / SV is the same as RT / UV:

SR / SV = RT / UV = 1 / 2

RT * 2 = UV

2*(x - 37) = x + 13

2x - 74 = x + 13

x = 87

The consecutive integers such 4 that times the smaller integer is 50 less than 6 times the larger integer are 22 and 23.

Let the consecutive integers be x and x + 1.

In this case, the integers are such 4 that times the smaller integer is 50 less than 6 times the larger integer.

This will be:

4(x) = 6(x + 1) - 50

4x = 6x + 6 - 50

Collect like terms

4x - 6x = -44

-2x = -44

Divide

x = 44/2

x = 22

Also, x + 1 = 22 + 1 = 23

The numbers are 22 and 23.

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Answer:

Step-by-step explanation:

The value of measurement of the closest to the height of the mountain cliff in feet is,

⇒ Mountain Height = 360 feet

Given that;

When Donetle stands at point R, he is 1000 feet from point S at the base of a cliff.

And, When he looks up at an angle of 20 degrees, he sees a friend at the top of the mountain cliff at point T

Hence, By graph we get;

⇒ tan 20° = Mountain Height / 1000

⇒ 0.36 = Mountain Height / 1000

⇒ 0.36 × 1000 = Mountain Height

⇒ Mountain Height = 360 feet

Thus, The value of measurement of the closest to the height of the mountain cliff in feet is,

⇒ Mountain Height = 360 feet

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The game Pip is played by taking turns counting numbers, with the player saying one number each time. Whenever the number being said is either divisible by 7 or contains the digit 7, the player should say "Pip!" instead and then change the order of the game. Pip is a very simple game that can be played by two or more players.

It is similar to other counting games like Fizz Buzz and Bizz Buzz. The game begins with a player saying "1" and then the next player saying "2," and so on. When a number that is either divisible by 7 or has the digit 7 is reached, the player should say "Pip!" instead of the number. After saying "Pip!", the player should reverse the order of the game, making the next player the one to say the next number instead of the player who would have done so otherwise.

For example, when the count reaches 7, the player would say "Pip!" instead of the number "7" and then change the order so that the next player has to say the next number. If the count reaches 14, the player should say "Pip!" instead of "14" and then reverse the order of the game. The next player would then say "13," followed by the previous player saying "12," and so on until the count reaches "8."The game can continue until a predetermined number, such as 100, is reached.

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To determine if a function has a vertical asymptote, you need to consider its behavior as the input approaches certain values.

A vertical asymptote occurs when the function approaches positive or negative infinity as the input approaches a specific value. Here's how you can determine if a function has a vertical asymptote:

Check for restrictions in the domain: Look for values of the input variable where the function is undefined or has a division by zero. These can indicate potential vertical asymptotes.

Evaluate the limit as the input approaches the suspected values: Calculate the limit of the function as the input approaches the suspected values from both sides (approaching from the left and right). If the limit approaches positive or negative infinity, a vertical asymptote exists at that value.

For example, if a rational function has a denominator that becomes zero at a certain value, such as x = 2, evaluate the limits of the function as x approaches 2 from the left and right. If the limits are positive or negative infinity, then there is a vertical asymptote at x = 2.

In summary, to determine if a function has a vertical asymptote, check for restrictions in the domain and evaluate the limits as the input approaches suspected values. If the limits approach positive or negative infinity, there is a vertical asymptote at that value.

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Using Pythagoras:

Answer:

Answer: C. 7.5%

Solve as decimal

0.5*0.15=0.075

Move two decimal points over

0.075 -> 7.5

Change back to percent

7.5%

Answer:

10

Step-by-step explanation:

486-466 = 20

1/2 x 20 = 10

:]

Answer:

an expression that equals 10

Step-by-step explanation:

486 - 466 = 20

1/2 of 20 is 10

You don't list choices.

You need an expression that equals 10.

Answer:

3.

Step-by-step explanation:

v=lbh (volume = length, base, height)

3*0.5*2=

3

a) N = \(365^{10}\), b) The number of simple events in A can be calculated as 365 x 364 x 363 x ... x 356, c) P(A) = (365 x 364 x 363 x ... x 356) / \(365^{10}\), and d) P(B) = 1 - [(365 x 364 x 363 x ... x 356) / \(365^{10}\)].

a) The total number of simple events N can be calculated by multiplying the number of possible birthdays for each person. Since there are 365 days in a year (excluding February 29th), the total number of possible birthdays for each person is 365. Therefore, N = \(365^{10}\).
b) For the first person, there are 365 possible birthdays. For the second person, there are only 364 possible birthdays left (since we are assuming nobody has a February 29th birthday). Similarly, for the third person, there are 363 possible birthdays left, and so on. Therefore, the number of simple events in A can be calculated as 365 x 364 x 363 x ... x 356.
c) P(A) is the probability of nobody in these 10 people sharing the same birthday with others. This can be calculated by dividing the number of simple events in A by the total number of simple events N. Therefore, P(A) = (365 x 364 x 363 x ... x 356) / \(365^{10}\).
d) Let B = at least two people having the same birthday. We can calculate the probability of B by using the complement rule: P(B) = 1 - P(A). Therefore, P(B) = 1 - [(365 x 364 x 363 x ... x 356) / \(365^{10}\)]. This gives us the probability of at least two people having the same birthday in a room of 10 people, assuming nobody has a February 29th birthday.

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Answer:

x=-9

Step-by-step explanation:

3x=-27

x=-27/3

x=-9

The answer is:

Work/explanation:

In every equation, we should isolate the variable.

To solve the equation, we divide each side by 3:

\(\sf{3x=-27}\)

\(\sf{x=-9}\)

The height of the picture frame rounded to the nearest tenth is 13.4 inches.

In order to determine the height of the picture frame, we would have to apply Pythagorean's theorem.

In Mathematics and Geometry, Pythagorean's theorem is represented by the following mathematical equation (formula):

x² + y² = z²

Where:

x, y, and z represents the length of sides or side lengths of any right-angled triangle.

By substituting the side lengths of this rectangle, we have:

z² = x² + y²

18² = 12² + y²

324 = 144 + y²

y² = 324 - 144

y² = 180

y = √180

y = 13.4 inches.

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Asking:

If you're still in need of help with this Qs, could you show a picture of the Q?

The required Matlab code to find the greatest common divisor of a number using the Euclidean algorithm is shown.

To find the greatest common divisor (GCD) of two numbers using the Euclidean algorithm in MATLAB, you can use the following code:

% Replace '12345678' with your actual student number

studentNumber = '12345678';

% Extract the first 4 digits as the first number

firstNumber = str2double(studentNumber(1:4));

% Extract the last 3 digits as the second number

secondNumber = str2double(studentNumber(end-2:end));

% Find the GCD using the Euclidean algorithm

gcdValue = gcd(firstNumber, secondNumber);

% Display the result

disp(['The GCD of ' num2str(firstNumber) ' and ' num2str(secondNumber) ' is ' num2str(gcdValue) '.']);

Make sure to replace '12345678' with your actual student number. The code extracts the first 4 digits as the first number and the last 3 digits as the second number using string indexing. Then, the gcd function in MATLAB is used to calculate the GCD of the two numbers. Finally, the result is displayed using the disp function.

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The probability of selecting a human character randomly in the game is \(\frac{1}{3}\)

The probability that a human character will be chosen when the player selects a character randomly can be calculated by dividing the number of human characters by the total number of available characters.

There are 8 animal characters and 4 human characters, making a total of 12 characters to choose from. Therefore, the probability of selecting a human character randomly is:

P(Human) = Number of human characters / Total number of characters

P(Human) = 4 / 12

Simplifying this fraction, we find:

P(Human) = 1 / 3

Therefore, the probability of selecting a human character randomly is 1/3 or approximately 0.333.

In the given scenario, there are a total of 8 animal characters and 4 human characters, making a total of 12 characters to choose from. When a player selects a character randomly, each character has an equal chance of being chosen. Since there are 4 human characters, the probability of selecting one of them is determined by dividing the number of human characters (4) by the total number of characters (12).

When we simplify the fraction 4/12, we find that it is equal to 1/3.

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In analyzing the performance of implementing the given methods over Singly Linked List and Doubly Linked List data structures, we consider the Big-O notation, which provides insight into the time complexity of these operations as the size of the list increases.

Add to Start of List:

Singly Linked List: O(1)

Doubly Linked List: O(1)

Both Singly Linked List and Doubly Linked List offer constant time complexity, O(1), for adding an element to the start of the list.

This is because the operation only involves updating the head pointer (for the Singly Linked List) or the head and previous pointers (for the Doubly Linked List). It does not require traversing the entire list, regardless of its size.

Add to End of List:

Singly Linked List: O(n)

Doubly Linked List: O(1)

Adding an element to the end of a Singly Linked List has a time complexity of O(n), where n is the number of elements in the list. This is because we need to traverse the entire list to reach the end before adding the new element.

In contrast, a Doubly Linked List offers a constant time complexity of O(1) for adding an element to the end.

This is possible because the list maintains a reference to both the tail and the previous node, allowing efficient insertion.

Add at Given Index:

Singly Linked List: O(n)

Doubly Linked List: O(n)

Adding an element at a given index in both Singly Linked List and Doubly Linked List has a time complexity of O(n), where n is the number of elements in the list.

This is because, in both cases, we need to traverse the list to the desired index, which takes linear time.

Additionally, for a Doubly Linked List, we need to update the previous and next pointers of the surrounding nodes to accommodate the new element.

In summary, Singly Linked List has a constant time complexity of O(1) for adding to the start and a linear time complexity of O(n) for adding to the end or at a given index.

On the other hand, Doubly Linked List offers constant time complexity of O(1) for adding to both the start and the end, but still requires linear time complexity of O(n) for adding at a given index due to the need for traversal.

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Answer:

43°

Step-by-step explanation:

Complementary angles add up to 90° in measurement.

One angle is 47 degrees.

\(90-47=\boxed{43}\)

The measurement of the other angle would be 43°.

Hope this helps.

The measure of other angle is 43 degree.

Complementary angles are those whose combined angle is 90 degrees or less. To put it another way, two angles are said to be complimentary if they combine to make a right angle. In this case, we say that the two angles work well together.

Given that.

Two angles are complementary.

Now consider one angle = x degree

And other angle  = y degree

Then according to question,

Measure of angle x = 47 degree

We know that,

The sum of complementary angles are equal to 90 degree.

Therefore,

x + y = 90

x + 47 = 90

       x = 90 - 47

       x  = 43

Hence, the other angle is = 43 degree.

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The simplified form of expression is -5/7.

To simplify the expression, we will solve the equation to convert them in smallest divisible fraction.

For this, firstly solving the numerator of fraction and then solving the denominator of fraction.

Solving numerator -

Numerator = -11 -4

We will perform addition along with keeping the answer with negative sign

Numerator = -15

Solving denominator -

Denominator = 12 - (-9)

Here two negative signs are present, so we will perform addition. Also, the sign of result will also be positive

Denominator = 12 + 9

Performing addition

Denominator = 21

Now, representing in fraction form to simplify the expression -

Expression = -15/21

Dividing the fraction by 3

Expression = -5/7

Hence, the simplification of given expression is -5/7.

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The importance and advantage of using graph representation when organizing your data are that it makes data presentable, summarizing, better way of comparison of data.

An organized diagram or pictorial representation of the relationship between values or data is referred to as a graph. it is a a diagram that depicts a variable's variation in comparison to that of one or more other variables, such as a series of points, lines, line segments, curves, or areas.

The following are the three advantages of graphs:

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Answer: A, B

Step-by-step explanation:

A and B are unique to parallel lines, C and D are not.

Answer:

i looked it up and got 180/1 sorry if its not right

Step-by-step explanation:

Answer:180

Step-by-step explanation:

To divide by the fraction, multiply by the reciprocal of that fraction.

36 times 5 =180

180

The correct statement is: P(A and B) <= 0.3 * 0.5 = 0.15.

The probability of A and B both occurring is denoted by P(A and B). If A and B are independent events, then the probability of both events occurring is given by the product of their individual probabilities, that is P(A and B) = P(A) * P(B). Therefore, P(A and B) = 0.3 * 0.5 = 0.15.

To understand why this statement is correct, we need to understand the concept of independence and multiplication rule of probability.  When two events are independent, the occurrence of one event does not affect the occurrence of the other. In other words, the probability of one event occurring is not affected by the occurrence of the other event.
The multiplication rule of probability states that if two events A and B are independent, then the probability of both events occurring together is given by the product of their individual probabilities, that is P(A and B) = P(A) * P(B).
In this case, we are given that events A and B are independent, and their individual probabilities are P(A) = 0.3 and P(B) = 0.5. Therefore, we can calculate the probability of both events occurring together as follows:
P(A and B) = P(A) * P(B)
= 0.3 * 0.5
= 0.15
This means that the probability of both events occurring together is less than or equal to 0.15. This statement is correct because the multiplication of probabilities can never result in a probability greater than the smaller of the two individual probabilities.

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Given the dimensions of the rectangular ceiling below

Let us sketch out the image of the rectangle ceiling.

We are to solve for x, which represents the cost of garland Mia will need to reach from one corner of the ceiling to the opposite corner.

Let us now sketch out the triangular shape from the rectangle.

Using Pythagoras theorem to solve for x,

Therefore,

Hence, the cost of garland Mia will need to reach from one corner of the ceiling to the opposite corner is 87feet.

There are 8 number of ways to construct a 2 x 2 x 2 cube using 4 blue cubes and 4 white cubes.

Given,

A cube is constructed from 4 white unit cubes and 4 blue unit cubes.

We have to find  the number of ways are there to construct a 2 x 2 x 2 cube using these smaller cubes;

Here,

4 white cubes and 4 blue cubes.

Now,

Here,

There are 8 number of ways to construct a 2 x 2 x 2 cube using 4 blue cubes and 4 white cubes.

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