can someone js help me w these questions

The solution to the systems of equations graphically is (2, 4)

From the question, we have the following parameters that can be used in our computation:

y = 2x

y = -x + 6

Next, we plot the graph of the system of the equations

See attachment for the graph

From the graph, we have solution to the system to be the point of intersection of the lines

This points are located at (2, 4)

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Answer:

yes their size is medium

Answer:

30 meters

Step-by-step explanation:

when converting from scale to actual drawing:

find a way of removing the cm by

10cm × (3m/1cm)

look the cm cancels out

10×3m=30m

The curves are X2 + Y2 = 1 which is a circle with radius 1, and r = sin θ, which is a circle with radius 0.5, centered at the origin. To find the area of the shaded region, we must first find the limits of integration.

To find the limits of integration, we need to find where the two curves intersect, which is where sin θ = 1 - sin θ. Solving for θ, we get θ = π/4 and

θ = 5π/4.

Now, the area of the shaded region is given by the integral: A = 1/2 ∫[0,π/4] (1-sin θ)² dθ + 1/2 ∫[5π/4,2π] (1-sin θ)² dθ The exact answer for the area of the shaded region is given by the integral: A = 1/2 ∫[0,π/4] (1-sin θ)² dθ + 1/2 ∫[5π/4,2π] (1-sin θ)² dθA numerical approximation to the area is A ≈ 0.43656.The region bounded by the two polar curves r = sin θ and r = 1 - sin θ is shown below: Find the area of the shaded region between r = sin θ and r = 1 - sin θ.To find the area of the shaded region, we will need to find the limits of integration and then evaluate the integral.

For the limits of integration, we need to find where the two curves intersect. To find the area of the shaded region, we need to first find the limits of integration. These limits are where the two curves intersect, which is where sin θ = 1 - sin θ. Solving for θ, we get θ = π/4 and

θ = 5π/4.To evaluate the integral, we use the formula for the area of a polar region, which is given by:

A = ½ ∫(r₁² - r₂²) dθ

where r₁ is the outer curve (r = 1 - sin θ) and

r₂ is the inner curve (r = sin θ).

Evaluating the integral, we get the exact answer for the area of the shaded region: A = 1/2 ∫[0,π/4] (1-sin θ)² dθ + 1/2 ∫[5π/4,2π] (1-sin θ)² dθ. The region bounded by the two polar curves r = sin θ and r = 1 - sin θ is shown below: Find the area of the shaded region between r = sin θ and r = 1 - sin θ.

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Answer:

90°

Step-by-step explanation:

follow the tangent rule.

Answer:

14/17

Step-by-step explanation:

14/17 as a fraction can't be simplified. 17 is a prime number, so it can't be divided by anything except 1.

If the question you're asking is 14-17, the answer would be -3...

I hope this helped you out!! Have an awesome day C:

Step-by-step explanation:

if you are subtracting it is -3

if you are dividing it is 0.823

if you are looking for an equivalent fraction it is 28/34

Lance had a gross pay of $117.5 working on Friday and Saturday

To determine his gross pay, we have to find the number of hours he worked and multiply it by his hourly wage.

This can be done by;

4pm - 9pm = 5 hours.

But he had a non-paid 30 minutes break which will give us his work hours on Friday as 4 hours 30 minutes or 4.5 hours.

On Saturday, he worked from 12pm - 6pm which will give us a work time of 6 hours. He also took a non-paid 30 minutes lunch and his total work time on Saturday is 5 hours 30 minutes or 5.5 hours.

If we add the total numbers of hours worked, we will get

4.5 + 5.5 = 10 hours.

Now we can multiply this by the hourly wage.

10 * 11.75 = 117.5

His gross pay is $117.5

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Answer: The number of the adult tickets is 168

Step-by-step explanation:

The adults ticket costs $10.50

- The students ticket costs $3.75

- The total money of the opening night is $2071.50

- The equation of the total money earned in the opening night is:

10.50 a + 3.75 b = 2071.50, where a is the number of the adult ticket

 and b is the number of the student ticket

- There were 82 students attended

* Lets solve the problem

∵ 10.50 a + 3.75 b = 2071.50

∵ The number of the students attended is 82

∵ b is the number of the students

∴ b = 82

- Substitute the value of b in the equation

∴ 10.50 a + 3.75(82) = 2071.50

∴ 10.50 a + 307.5 = 2071.50

- Subtract 307.5 from both sides

∴ 10.50 a = 1764

- Divide both sides by 10.50

∴ a = 168

∵ a is the number of the adult tickets

∴ The number of the adult tickets is 168

Answer:

168 Adult tickets were sold

Step-by-step explanation:

Vote me brainliest

The output will look similar to this:

The random number between 0 and 51 is: 37

The card's rank is: Queen

The card's suit is: Hearts

To assign a card a rank and a suit based on the chosen random number between 0 and 51, we can utilize modulus division. Here's an example of how you can achieve this using the given random number:

import random

card = random.randrange(0, 52)

# Calculate rank and suit using modulus division

rank = card % 13

suit = card // 13

# Assign special ranks for Ace, Jack, Queen, and King

if rank == 0:

   rank = "Ace"

elif rank == 10:

   rank = "Jack"

elif rank == 11:

   rank = "Queen"

elif rank == 12:

   rank = "King"

# Map suit values to their corresponding names

suit_names = {0: "Clubs", 1: "Hearts", 2: "Diamonds", 3: "Spades"}

# Print the results

print("The random number between 0 and 51 is:", card)

print("The card's rank is:", rank)

print("The card's suit is:", suit_names[suit])

This code generates a random number between 0 and 51 using the `random.randrange()` function. It then uses modulus division (`%`) to calculate the rank and integer division (`//`) to calculate the suit. The special ranks (Ace, Jack, Queen, and King) are assigned based on specific rank values. Finally, the program prints the random number, the card's rank, and the card's suit.

The output will look similar to this:

The random number between 0 and 51 is: 37

The card's rank is: Queen

The card's suit is: Hearts

Each time you run the program, you will see different random numbers with their corresponding ranks and suits.

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Length of each side is 176 feet ² .

each side of house = 22 feet long

Perimeter of octagon = 8 × sides

Length of each side of house = 8 × 22 ⇒ 176 feet²

Therefore, length of each side is 176 feet ² .

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In this case, with the car's angle of sight increasing from 30 degrees to 45 degrees after traveling 10 miles, we can calculate that the height of the tower is approximately 5.77 miles or 30,461.76 feet.

1. To determine the height of the tower, we can use the tangent function, which relates the angle of elevation to the height and distance. Let's assume the height of the tower is represented by 'h'. When the car is at the starting point, the tangent of 30 degrees is equal to the height of the tower divided by the distance between the car and the tower (10 miles). So, we have tan(30) = h/10.

2. Similarly, when the car is 10 miles away from the starting point, the tangent of 45 degrees is equal to the height of the tower divided by the distance between the car and the tower (20 miles, considering the 10-mile distance already covered). So, we have tan(45) = h/20.

3. Now, we can solve these equations simultaneously to find the value of 'h'. By rearranging the equations, we get h = 10 * tan(30) and h = 20 * tan(45). Calculating these values, we find that h is approximately 5.77 miles or 30,461.76 feet.

4. Therefore, the height of the tower is approximately 5.77 miles or 30,461.76 feet.

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Answer: 30

Step-by-step explanation:

1. Use the Pythagorean theorem (\(A^{2} +B^{2} = C^{2}\))

\(18^{2} +24^{2} =C^{2} \\324 + 576 = C^{2} \\900 = C^{2} \\\sqrt{900} = \sqrt{C^{2} } \\30 = C\\\)

Step-by-step explanation:

so in this case, you use the pythagoras theorem:

since we don't have a hypotenuse, let's name is H

soo it will be

H= 18 squared + 24 squared

H = 324+ 576

H= 900

so you find the square root of 900 which is 30

so, therefore the answer is 30

The probability that the ninth woman to appear is in position 17 is about 5.59%

We can approach this problem by using the binomial probability distribution. Let X be the number of women among the first 16 people in the line. Then X follows a binomial distribution with parameters n = 16 and p, the probability that any given person among the first 16 is a woman. We want to find the probability that X = 8, since this means that the ninth woman to appear is in position 17.

The probability of any given person being a woman is not specified in the problem, but we can assume that it is 0.5 for simplicity. Therefore, p = 0.5, and we can use the binomial probability formula:

P(X = k) = (n choose k) * p^k * (1-p)^(n-k)

where (n choose k) is the binomial coefficient, which gives the number of ways to choose k items from a set of n items. In this case, it gives the number of ways to choose k women from the first 16 people in the line.

Using this formula with n = 16 and k = 8, we get:

P(X = 8) = (16 choose 8) * 0.5^8 * 0.5^8

= 12870 * 0.00390625

= 50.27

This means that the probability of exactly 8 women appearing among the first 16 people in the line is about 50.27%.

Given that there are 8 women among the first 16 people, the probability that the ninth woman appears in position 17 is 1/9, since there are 9 possible positions for the ninth woman to appear, and they are all equally likely.

Therefore, the overall probability that the ninth woman to appear is in position 17 is:

P(X = 8) * (1/9) = 50.27% * (1/9) = 5.59%

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Answer:

a and b should be a = 3 and b = 5

Step-by-step explanation:

We will make aa system of equations to find a and b

∵ p(x) = 2x³ + ax² - 7x + b

∵ p(1) = 3

→ That means substitute x by 1 and p(x) by 3

∵ 3 = 2(1)³ + a(1)² - 7(1) + b

∴ 3 = 2 + a - 7 + b

→ Add the like terms in the right side

∵ 3 = a + b + (2 - 7)

∴ 3 = a + b + (-5)

∴ 3 = a + b - 5

→ Add 5 to both sides

∴ 3 + 5 = a + b - 5 + 5

∴ 8 = a + b

→ Switch the two sides

∴ a + b = 8 ⇒ (1)

∵ p(2) = 19

→ That means substitute x by 2 and p(x) by 19

∵ 19 = 2(2)³ + a(2)² - 7(2) + b

∴ 19 = 2(8) + a(4) - 14 + b

∴ 19 = 16 + 4a - 14 + b

→ Add the like terms in the right side

∵ 19 = 4a + b + (16 - 14)

∴ 19 = 4a + b + (2)

∴ 19 = 4a + b + 2

→ Subtract 2 both sides

∴ 19 - 2 = 4a + b + 2 - 2

∴ 17 = 4a + b

→ Switch the two sides

∴ 4a + b = 17 ⇒ (2)

Now we have a system of equations to solve it

→ Subtract equation (1) from equation (2)

∵ (4a - a) + (b - b) = (17 - 8)

∴ 3a + 0 = 9

∴ 3a = 9

→ Divide both sides by 3

∴ a = 3

→ Substitute the value of a in equation (1) to find b

∵ 3 + b = 8

→ Subtract 3 from both sides

∴ 3 - 3 + b = 8 - 3

∴ b = 5

∴ a and b should be a = 3 and b = 5

Answer:

p = √5 + vt

p - √5 = vt

p - 2.24 = vt

p - 2.24/t = t

Answer:

1. True

2. False

3. True

4. True

Step-by-step explanation:

If we arrive at the bus stop 5 minutes early , then the probability that the bus is more than 10 minutes late is 5/17 .

The time duration for taking the bus every morning is = 2 minutes early to 15 minutes late ;

We know that the Uniform Distribution has 2 bounds, "a" and "b"  ;

So , Probability of finding the value above x is : P(X > x) = (b-x)/(b-a) ;

In this case , the lower bound that is : a = -2 , and the upper bound : b = 15 ;

The probability that the bus is more than 10 minutes late , that is P(X > 10) ;

So , P(X > 10) = (15 - 10)/(15 -(-2)) = 5/17 .

Therefore , the required probability is 5/17 .

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Answer:

38 cm²

Step-by-step explanation:

The classroom had 24 glue bottles.

We have,

If the ratio of glue sticks to glue bottles is 7 : 4, we can express this as 7/4.

We can set up a proportion to solve for the number of glue bottles:

7/4 = 42/x

where x is the number of glue bottles. To solve for x, we can cross-multiply:

7x = 4 x 42

7x = 168

x = 24

Therefore,

The classroom had 24 glue bottles.

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Using the given graph of f(x) = x to find a number δ such that if |x − 4| < δ then x − 2 < 0.4, we can say that if |x - 4| < δ, where δ = 0.4, then x - 2 < 0.4.

Let's define the function f(x) = x and use the given graph of the function to find the value of δ, such that if |x - 4| < δ then x - 2 < 0.4. Let's take a look at the graph given below: Now, let's take the two points on the graph such that the vertical distance between the points is 0.4.The points are (4, 4) and (4.4, 4.4).

From the graph, we can see that if x < 4.4, then the function f(x) will have a value less than 4.4, which means that x - 2 will be less than 0.4.Therefore, we can say that if |x - 4| < δ, where δ = 0.4, then x - 2 < 0.4.

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The coordinates of the endpoint B is (-2,-5).

The midpoint formula is expressed as;

M = ( (x₁+x₂)/2, (y₁+y₂)/2 )

Given the data in the question;

Midpoint M( -5,0 )

Endpoint A ( -8,5 )

Endpoint B

Plug the given values into the above formula and solve for x₂ and y₂.

M = ( (x₁+x₂)/2, (y₁+y₂)/2 )

(x,y) = ( (x₁+x₂)/2, (y₁+y₂)/2 )

x = (x₁+x₂)/2

2x = x₁ + x₂

2( -5 ) = -8 + x₂

-10 = -8 + x₂

-10 + 8 = x₂

-2 = x₂

x₂ = -2.

y = (y₁+y₂)/2

2y = (y₁+y₂)

2y = y₁ + y₂

2( 0 ) = 5 +  y₂

0 = 5 +  y₂

-5 =  y₂

y₂ = -5

Therefore, the endpoint B is (-2,-5).

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The surface area of the rectangular prism is 362 square inches.

Surface area refers to the total area of all the faces or surfaces of a three-dimensional object. It is measured in square units and is calculated by adding the area of each individual face or surface. The formula for calculating the surface area of different 3D shapes varies depending on the shape, but the basic concept remains the same - adding the areas of all the faces or surfaces that make up the object. Surface area is an important concept in fields such as mathematics, engineering, and physics, and is used in the design and analysis of various structures and objects.

To find the surface area of a rectangular prism with length (l) = 16 inches, width (b) = 7 inches, and height (h) = 3 inches, we use the formula:

SA = 2lb + 2lh + 2wh

Substituting the values, we get:

SA = 2(167) + 2(163) + 2(7*3)

SA = 224 + 96 + 42

SA = 362

Therefore, the surface area of the rectangular prism is 362 square inches.

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Answer:

I think C the fourth graph

Step-by-step explanation:

The relationship between the standard deviation and variance is that the standard deviation is the square root of the variance.

The correct option is -C

Hence, the correct option is (c) Standard deviation is the square root of the variance. Variance is the arithmetic mean of the squared differences from the mean of a set of data. It is a statistical measure that measures the spread of a dataset. The squared difference from the mean value is used to determine the variance of the given data set.

It is represented by the symbol 'σ²'. Standard deviation is the square root of the variance. It is used to calculate how far the data points are from the mean value. It is used to measure the dispersion of a dataset. The symbol 'σ' represents the standard deviation. The formula for standard deviation is:σ = √(Σ(X-M)²/N) Where X is the data point, M is the mean value, and N is the number of data points.

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Answer: The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other. Once you know the constant of proportionality you can find an equation representing the directly proportional relationship between x and y, namely y=kx, with your specific k.

Step-by-step explanation:

Answer:

Hey I know!

1.10 euro

Answer:

397.5 :)

Step-by-step explanation:

Answer:

hhhhhhh

Step-by-step explanation:jujujujjujjjju

The base 10 value of the 3-digit hexadecimal number 2E5 is 741. The probability that a 3-digit hexadecimal number with repeated digits allowed contains only letters is 27/512.

a) To convert a hexadecimal number to its decimal equivalent, you can use the following formula:

(decimal value) =\((last digit) * (16^0) + (second-to-last digit) * (16^1) + (third-to-last digit) * (16^2) + ...\)

Let's apply this formula to the hexadecimal number 2E5:

(decimal value) = \((5) * (16^0) + (14) * (16^1) + (2) * (16^2)\)

= 5 + 224 + 512

= 741

Therefore, the base 10 value of the 3-digit hexadecimal number 2E5 is 741.

b) To find the probability that a 3-digit hexadecimal number with repeated digits allowed contains only letters, we need to determine the number of valid options and divide it by the total number of possible 3-digit hexadecimal numbers.

The number of valid options with only letters can be calculated by considering the following:

Therefore, the total number of valid options is 6 * 6 * 6 = 216.

The total number of possible 3-digit hexadecimal numbers can be calculated by considering that each digit can be any of the 16 possible characters (0-9, A-F), allowing repetition. So, we have 16 choices for each digit.

Therefore, the total number of possible 3-digit hexadecimal numbers is 16 * 16 * 16 = 4096.

The probability is then calculated as:

probability = (number of valid options) / (total number of possible options)

= 216 / 4096

To simplify the fraction, we can divide both numerator and denominator by their greatest common divisor, which in this case is 8:

probability = (216/8) / (4096/8)

= 27 / 512

Therefore, the probability that a 3-digit hexadecimal number with repeated digits allowed contains only letters is 27/512.

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Answer:

Step-by-step explanation:

21.925