a committee of five men and four women is to be formed from 9 men and women find the number of ways which the committee can be a) formed b) formed if it must have two particular men​

Answer: B.) y = 4/3x + 1

Answer:

x=9

Step-by-step explanation:

13x-32 and 7x+22 are equal to each other (angles) so

13x-32=7x+22

13x-7x=22+32

6x=54

x=54/6

x=9

Answer: The answer is 1, 3, and 60.

Step-by-step explanation:

Answer:

1, 30, 60

Step-by-step explanation:

Answer:

\( - 4 {x}^{2} - 11x + 13\)

Step-by-step explanation:

\(( - {x}^{2} + 9) + ( - 3 {x}^{2} - 11x + 4)\)

\( - {x}^{2} + 9 - 3 {x}^{2} - 11x + 4\)

\( - 4 {x}^{2} - 11x + 13\)

The sum of the polynomials is,

⇒ - 4x² - 11x + 13

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that;

The expression is,

⇒ (-x² + 9) + (-3x² - 11x + 4)

Now, We can add the polynomials as;

⇒ (-x² + 9) + (-3x² - 11x + 4)

⇒ -x² + 9 -3x² - 11x + 4

⇒ - 4x² - 11x + 13

Thus, The sum of the polynomials is,

⇒ - 4x² - 11x + 13

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Answer:

x =6

Explanation:

To solve the system for x, substitute the value of y from the second equation into the first to get

adding 7 to both sides gives

Subtracting 2x from both sides gives

dividing both sides by 2 gives

which is our answer!

Answer:

We can start by isolating the variable "h".

5 8 h + 1 1 2 = 5

Subtracting 11/2 from both sides:

5 8 h = 5 - 1 1 2

Simplifying:

5 8 h = 8 1 2

Dividing both sides by 5/8:

h = 8 1 2 ÷ 5 8

Converting the mixed number to an improper fraction:

h = (8 x 8 + 1) ÷ 5 8

h = 65/8

Now, we can convert this fraction to a mixed number:

h = 8 1/8

Brigid has already picked for 8 1/8 hours, so the amount of time needed to pick the remaining strawberries is:

5 - (1 1/2 + 5/8 x 8) = 5 - (3 5/8) = 1 3/8

Therefore, Brigid still needs to pick for 1 3/8 hours to fill 5 bushels of strawberries. The answer is 1 and 3/8 hours or 2 and 3/16 hours (if simplified).

Step-by-step explanation:

The exponential form of the sine function, sin(wt) = e^(iwt), is derived using Euler's formula and the properties of complex numbers. The exponential form e^(iwt) represents a complex number with a magnitude of 1 and an argument of wt.

To understand how sin(wt) becomes e^(iwt), we can use Euler's formula. Euler's formula states that e^(ix) = cos(x) + i*sin(x), where i is the imaginary unit. By substituting wt for x, we get e^(iwt) = cos(wt) + i*sin(wt).

Now, let's focus on the imaginary part, i*sin(wt). We can isolate the sine function by multiplying both sides of the equation by i: i*e^(iwt) = i*cos(wt) - sin(wt).

Next, we rearrange the equation to solve for sin(wt): sin(wt) = -i*cos(wt) + i*e^(iwt).

Since cos(wt) is a real number, we can express it as the real part of a complex number: cos(wt) = Re(e^(iwt)).

Substituting this back into the equation, we have sin(wt) = -i*Re(e^(iwt)) + i*e^(iwt).

Finally, we can factor out -i to obtain sin(wt) = (1/2i)(e^(iwt) - e^(-iwt)).

This equation represents sin(wt) in terms of complex exponentials, e^(iwt) and e^(-iwt). Notice that the real part of this expression gives us cos(wt).

In summary, sin(wt) can be expressed as sin(wt) = (1/2i)(e^(iwt) - e^(-iwt)), where e^(iwt) represents a complex number with a magnitude of 1 and an argument of wt.

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The request is to download a document and complete the proof of the Triangle Sum Theorem. After finishing the proof, the completed file should be saved for upload on a webpage.

The Triangle Sum Theorem states that the sum of the interior angles of a triangle is always equal to 180 degrees. To complete the proof, it is necessary to provide a logical and coherent argument that supports this theorem. The document provided likely contains a partially completed proof, and the task is to finish it.

The proof of the Triangle Sum Theorem typically involves using the properties of parallel lines and alternate interior angles. By extending one side of the triangle, parallel lines can be created that intersect with the other sides. This forms interior and exterior angles that can be related to the interior angles of the triangle. Through geometric reasoning and the use of angle relationships, the proof should demonstrate that the sum of the interior angles of a triangle equals 180 degrees.

Once the proof is completed, the document should be saved for upload on the webpage specified, most likely for evaluation or further review. It is important to follow any instructions provided regarding the file format or naming conventions for the upload.

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Let AB be the tower with C at the top. Let P be the position of the plane such that the angle of elevation is 1°. Let the distance PC be h ft. The distance from the plane to the foot of the tower is 25,000 ft - the height of the plane above the ground (20,000 ft), which is 5,000 ft.

The distance PC is the same as the perpendicular height of the triangle. Therefore, `tan 1° = h / 25,000`. We can solve this equation for  \(h: `h = 25,000 tan 1° ≈ 436.24 ft`.\) To find how many feet the plane must rise to pass over the tower, we need to find the length of the line segment CD,

which is the height the plane must rise to clear the tower. We can use trigonometry again: `tan 89° = CD / h`. Since `tan 89°` is very large, we can approximate `CD ≈ h / tan 89°`.Therefore, `\(CD ≈ 436.24 / 0.99985 ≈ 436.29 ft`\).Thus, the plane must rise approximately 436.29 feet to pass over the tower.

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Answer: IT's asking for you to put the letter of the shapes next to they're name

Step-by-step explanation:

Answer:

i really dont know but question 2 is either 5 cent 25 cent 10 cent or 50

Step-by-step explanation:

Answer:

38cm squared

Step-by-step explanation:

Answer:

The measure of angle WVX is 140°.

Step-by-step explanation:

Let x be the measure of angle WVX.

\( \frac{14}{9} \pi = 2x\)

\( x = \frac{7}{9} \pi( \frac{180}{\pi}) = 140 \: degrees\)

Answer:

angle = arc length/radius
in this case, the arc length is 14/9*\(\pi\) and the radius is 2. Upon multiplying these, you get 140.

so, the answer is 140 degrees.

in the sample of 100 respondents from Vermont, 65.3% of them reported exercising for at least 30 minutes a day for three days out of the week.

The value of the sample proportion of people from Vermont who exercised for at least 30 minutes a day 3 days a week can be calculated as:

sample proportion = 65.3% = 0.653

what is minute?

In this context, "minute" likely refers to the amount of time spent exercising per day. Specifically, the survey asked if participants had exercised "more than 30 minutes a day for three days out of the week."

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The dividing by 0.5 is not the same as dividing by 2 , because 0.5 and 2 are different numbers  .

Let us understand the Division with the help of example ;

let the number be 10 ;

first we divide the number 10 by 0.5 ;

this can be written mathematically as ⇒ \(\frac{10}{0.5}\)  ;

⇒ \(\frac{10}{\frac{1}{2} }\) = \(10\times2\) = 20 ;

So , on dividing 10 by 0.5 , we get the answer as 20 .

Second , the number 10 is divided by 2 ;

this can be written mathematically as ⇒ \(\frac{10}{2}\) ;

⇒ \(\frac{10}{2 }\)  = 5  ;

So , on dividing 10 by 2 , we get the answer as 5  .

Therefore , dividing by 0.5 is not same as dividing by 2 .

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Yes, because\(np0 > 10\)and \(n(1-p0) > 10\).

Thus, the sampling distribution of p-hat is approximately normal, given the conditions of \(np0 > 10 and n(1-p0) > 10.\)

This is because the sampling distribution of p-hat follows the Central Limit Theorem, which states that when sample sizes are greater than 30,

the sampling distribution of the sample proportion will be approximately normal. The Central Limit Theorem is used in this example because the number of BYU students from Texas (n) is greater than 30, so the sample proportion (p-hat) is normally distributed.

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Answer:

Exact Form:

2\(\sqrt\)13

Decimal Form:

7.21

-----------------

Have a great day! :D

Answer:

the answer is x=0 because y intercept always have a zero value of x.

same goes to x intercept, where the value of y must always 0

The y-intercept of function is 2, the row of the table reveals the y-intercept of function f is row 2.

In Maths, an intercept is a point on the y-axis, through which the slope of the line passes. It is the y-coordinate of a point where a straight line or a curve intersects the y-axis. This is represented when we write the equation for a line, y = mx+c, where m is slope and c is the y-intercept.

From the table, we have (0, 2) and (1, 0).

Substitute (x₁, y₁)=(0, 2) and (x₂, y₂)=(1, 0) in m= (y₂-y₁)/(x₂-x₁)

= (0-2)/(1-0)

= -2

Substitute m=-2 and (x, y)=(0, 2) in y=mx+c, we get

2=-2(0)+c

c=2

Substitute m=-2 and c=2 in y=mx+c, we get

y=-2x+2

Here, y-intercept of function is 2

Therefore, the y-intercept of function is 2, the row of the table reveals the y-intercept of function f is row 2.

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Answer:

Our wide range of vitamins, minerals and health supplements help to ensure you’re getting the nutrients you need every day. From chewable vitamins to food supplements, hair vitamins to vitamins for skin and folic acid. There is something for everyone to support a healthy lifestyle, whilst improving wellbeing for you and all the family.

Answer:

Hey no prob!

We take 3x(2x-7) and we distribute the 3x to both of the terms inside

3x times 2x is 6x^2

and

3x times -7 is -21x

the final answer would be C

6x^2-21x

Answer:

\( \sf \: c) \: 6 {x}^{2} - 21x\)

Step-by-step explanation:

Given expression,

→ 3x(2x - 7)

Simplifying the expression,

→ 3x(2x - 7)

→ 3x(2x) + 3x(-7)

→ (3 × 2)x² + (3 × -7)x

→ (6)x² + (-21)x

→ 6x² - 21x

Hence, option (c) is correct.

To solve the problem we will calculate the amount of food consumed by Deon's dog in 2.5 weeks.

The new bag of food will last for 2.5 weeks.

Given to us

To know the amount of food consumed by Deon dog in 2.5 weeks, we will multiply the food consumed by Deon dog in 1-week by the Number of weeks for which food is been consumed.

Food consumed by Deon dog in 2.5 weeks

= Food consumed by Deon dog in 1-week x Number of weeks

= 62 cups of dog food x 2.5

= 155 cups of dog food

Thus, the food consumed by Deon's Dog is 155 cups.

As we can see the Dog will consume 155 cups of dog food in 2.5 weeks, therefore, the new bag of food will last for 2.5 weeks.

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Answer:

Small scooters = 6

Large scooters = 4

Step-by-step explanation:

Let S represents small scooter and L represents large scooter

The cost of a small scooter is £80

Mathematically,  the cost of S number of small scooters is

80S

The cost of a large scooter is £130

Mathematically,  the cost of L number of large scooters is

130L

The total amount spent on both scooters is £1000

Mathematically,

80S + 130L = 1000

So we have 2 unknowns and only 1 equation. Therefore, we have use trial and error method .

Trial and Error Method:

80S + 130L = 1000

80S = 1000 - 130L

S = (1000 - 130L)/80

Let’s suppose they bought 1 large scooter

S = (1000 - 130(1))/80

S = 10.875

Number of scooters cannot be in fraction so 1 doesn’t work

Let’s suppose they bought 2 large scooter s

S = (1000 - 130(2))/80

S = 9.25

Number of scooters cannot be in fraction so 2 doesn’t work

Let’s suppose they bought 3 large scooter s

S = (1000 - 130(3))/80

S = 7.625

Number of scooters cannot be in fraction so 3 doesn’t work

Let’s suppose they bought 4 large scooters

S = (1000 - 130(4))/80

S = 6

So that means they bought 6 small scooters and 4 large scooters.

Similarly, other combinations for scooters don’t work since they yield either fractional value or negative value which cannot be correct.

Therefore, the only possible combination of small and large scooters is

6 Small scooters

4 Large scooters

Verification:

80S + 130L = 1000

80(6) + 130(4) = 1000

480 + 520 = 1000

1000 = 1000 (satisfied)

Answer:

67.6

Step-by-step explanation:

area = 158/360 * 49 * pi = 67.56

Answer:

25%

Step-by-step explanation:

18.1x4=72.4

Answer:

$18.10/  $72.40 * 100  

=25%

Step-by-step explanation:

Answer:

8 of each

Step-by-step explanation:

The correct statements are:

b) Ordering costs decrease with respect to lot size,

c) It is good to have fixed interval ordering systems for products that have independent demand,

e) Taxes and insurance costs can be considered as carrying costs of inventory,

f) Costs incurred for defective products identified after the products are shipped are classified as internal failure costs,

h) Costs of repairing faulty products under warranty are limited to external failure costs, and j) Under EOQ inventory model, there is an assumption which states that there is no possibility of inventory stockout to occur.

b) Ordering costs decrease with respect to lot size: Ordering costs involve the expenses incurred when placing orders for inventory, such as administrative costs, processing fees, and transportation costs.

When the lot size increases, the frequency of placing orders decreases, resulting in lower ordering costs per unit. This is because the fixed costs associated with ordering are spread over a larger quantity of inventory.

c) It is good to have fixed interval ordering systems for products that have independent demand: Fixed interval ordering systems involve placing orders at regular intervals, regardless of the inventory level.

This approach is suitable for products with independent demand, where the demand is unpredictable or sporadic. By setting fixed intervals, the company can ensure a consistent replenishment schedule and avoid stockouts while optimizing inventory levels.

e) Taxes and insurance costs can be considered as carrying costs of inventory: Carrying costs are the expenses associated with holding and storing inventory.

They include costs such as storage fees, insurance premiums, taxes on inventory, and the opportunity cost of tying up capital in inventory. Taxes and insurance costs directly impact the financial burden of inventory holding and are considered as components of carrying costs.

f) Costs incurred for defective products identified after the products are shipped are classified as internal failure costs: Internal failure costs are expenses incurred due to quality issues discovered within the company's operations.

In the context of inventory, costs related to defective products identified after they are shipped, but before reaching the customer, fall under internal failure costs. These costs include rework, scrap, and any necessary corrective actions taken to address the quality problems.

h) Costs of repairing faulty products under warranty are limited to external failure costs: External failure costs are the expenses incurred due to quality issues discovered by customers after the products have been delivered.

When faulty products are repaired under warranty, the costs associated with the repairs are considered external failure costs. This includes the direct costs of repairing or replacing the faulty products and any associated customer service expenses.

j) Under EOQ inventory model, there is an assumption which states that there is no possibility of inventory stockout to occur: The Economic Order Quantity (EOQ) model is a widely used inventory management technique.

It assumes that demand for the product is constant and known with certainty, there are no quantity discounts or price variations, and there is no possibility of stockouts occurring.

The assumption of no stockouts simplifies the calculations and ensures that the optimal order quantity obtained from the model will meet the demand without interruptions.

However, in real-world scenarios, stockouts can occur due to unforeseen factors, variability in demand, or supply chain disruptions.

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The polar curve r = -2 sin θ can be graphed by first plotting the graph of r as a function of θ in Cartesian coordinates. To do this, we can set r = y and θ = x, and then plot the resulting equation y = -2 sin x.

This graph will have the shape of a sinusoidal wave with peaks at y = 2 and troughs at y = -2.
To sketch the same polar curve in Cartesian form, we can use the conversion equations x = r cos θ and y = r sin θ. Substituting in the given polar equation, we get x = -2 sin θ cos θ and y = -2 sin² θ. Simplifying these equations, we get x = -sin 2θ and y = -2/3 (1-cos² θ). This graph will have the shape of a four-petal rose.
The graphs from Part (a) and Part (b) are different because they represent different equations. Part (a) is the graph of y = -2 sin x, which is a sinusoidal wave. Part (b) is the graph of a four-petal rose. However, both graphs share some similarities in terms of their shape and symmetry. They are both symmetrical about the origin and have a repeating pattern.
In conclusion, we can sketch a polar curve by first graphing r as a function of θ in Cartesian coordinates and then converting it to Cartesian form. The resulting graphs may look different, but they often share similar patterns and symmetries.

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Answer:

it is an octagon; it is not regular

Answer:

B

Step-by-step explanation:

Answer:

I believe the answers are B and C

Step-by-step explanation:

Answer:

i believe b and c

Step-by-step explanation: