Someone please help me

The number of different terms in the expansion is (25 + 5 - 1)C(5 - 1).

To find the coefficient of the term v⁹w²x⁵y⁷z² in the multinomial expansion of (v w x y z)²⁵, we can apply the multinomial theorem. The formula for calculating the coefficient is:

Coefficient = (n!)/(a!b!c!d!e!),

where n is the total exponent of the product, and a, b, c, d, and e represent the exponents of v, w, x, y, and z, respectively.

(a) For the term v⁹w²x⁵y⁷z², we have:

n = 25 (the exponent of the product),

a = 9 (the exponent of v),

b = 2 (the exponent of w),

c = 5 (the exponent of x),

d = 7 (the exponent of y),

e = 2 (the exponent of z).

Substituting these values into the formula, we get:

Coefficient = (25!)/(9!2!5!7!2!).

(b) To determine the number of different terms in the expansion, we need to count the number of distinct combinations of exponents that can be selected for v, w, x, y, and z. Each exponent must be non-negative, and their sum should equal 25.

The number of different terms can be calculated using the stars and bars method (or the "balls and urns" method). We need to distribute 25 identical objects (stars) into 5 distinct boxes (variables), allowing some boxes to be empty. The formula for this calculation is (25 + 5 - 1)C(5 - 1).

Therefore, the number of different terms in the expansion is (25 + 5 - 1)C(5 - 1).

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Answer:

because the lines are parallel meaning they will never cross

Step-by-step explanation:

Answer:

Each girl (m) had $18.

Step-by-step explanation:

The Equation to determine the amount of money, m, each girl received is 4m = 72 or m = 12(4) + 24

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Each girl spent $12.

Afterward, the girls had $24 altogether.

let each Girl received amount of $x.

So, the four spend = 12 x 4 = $48

Then, the total they have = 48 + 24 = $72

So, each of Girl have = 72/ 4 = $18.

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The type directions that lie in the (110) plane are Crystal planes are equivalent planes that represent a group of crystal planes with a common set of atomic indexes.

Crystallographers use Miller indices to identify crystallographic planes. A crystal is a three-dimensional structure with a repeating pattern of atoms or ions.In a crystal, planes of atoms, ions, or molecules are stacked in a consistent, repeating pattern. Miller indices are a mathematical way of representing these crystal planes.

Miller indices are the inverses of the fractional intercepts of a crystal plane on the three axes of a Cartesian coordinate system.Let us now determine which of the type directions lie in the (110) plane.[101] is not in the (110) plane because it has an x-intercept of 1, a y-intercept of 0, and a z-intercept of 1. So, this direction does not lie in the (110) plane.[110] is in the (110) plane since it has an x-intercept of 1, a y-intercept of 1, and a z-intercept of 0.

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Answer:

4 and 8 because that's math, theres no other answer.

Answer:

2 plus 2 is 4 and 4 plus 4 is 8

Step-by-step explanation:

Answer:

If rounded to the nearest tenth of a cubic foot, would be: 927587.2

Step-by-step explanation:

The equation of finding the equation of the volume of a sphere is "4π\(\frac{radius^{3} }{3}\)"

If values are inserted in for radius as 60.5, the answer will be 927587.2 when rounded to the nearest tenths.

Hope this helps!

Answer:73

Step-by-step explanation:

Jared bought 7 cans of paint. Let the number of red paint cans that Jared bought be x. The number of black paint cans he bought would be 7 - x. A can of red paint costs $3.75 and a can of black paint costs $2.75.

He spent $22 in all. Therefore we can write:3.75x + 2.75(7 - x) = 22 Multiplying out the second term and collecting like terms gives:0.5x + 19.25 = 22Subtracting 19.25 from both sides:0.5x = 2.75Dividing by 0.5:x = 5.5Since Jared can't buy half a can of paint, we should round the answer to the nearest integer. Hence, he bought 5 cans of red paint and 2 cans of black paint. The total cost of the 5 cans of red paint would be 5 x $3.75 = $18.75.The total cost of the 2 cans of black paint would be 2 x $2.75 = $5.50.The total cost of all 7 cans of paint would be $18.75 + $5.50 = $24.25.We spent more than Jared's budget. The value of $24.25 exceeds Jared's budget of $22. Hence, there is a problem with this problem statement.

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Answer:

-3, 7, -5

Step-by-step explanation:

Because of the zero-product-property, we can set each of the groupings to 0, to get each of our 3 zeroes.

x+3=0, x=-3

x-7=0, x=7

x+5=0, x=-5

The problem involves finding the distance from a given point (12, 14, 1) to the y-z plane. The distance can be determined by finding the perpendicular distance from the point to the plane.

The equation of the y-z plane is x = 0, as it does not depend on the x-coordinate. We need to calculate the perpendicular distance between the point and the plane.

To find the distance from the point (12, 14, 1) to the y-z plane, we can use the formula for the distance between a point and a plane. The formula states that the distance d from a point (x₀, y₀, z₀) to a plane Ax + By + Cz + D = 0 is given by the formula:

d = |Ax₀ + By₀ + Cz₀ + D| / √(A² + B² + C²)

In this case, since the equation of the y-z plane is x = 0, the values of A, B, C, and D are 1, 0, 0, and 0 respectively. Substituting these values into the formula, we can calculate the distance from the point to the y-z plane.

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Answer:

-3/4, 1/2

Step-by-step explanation:

Because the axis are split into 4ths, we can assume that each line is worth 1/4 in coordinates. S is located 3/4ths in the negative x direction and 2/4, or 1/2 in the positive y direction.

1/7 of the animals in the zoo are male monkeys.

To find the fraction of animals in the zoo that are male monkeys, we have to calculate the product of the fractions representing the proportion of monkeys and the proportion of male monkeys among them.

Given that 1/5 of the animals in the zoo are monkeys, we will then represent this as:

= 1/5

= 5/25.

And 5/7 of the monkeys are male which is written as 5/7.

To get fraction of male monkeys, we will multiply these two fractions:

= (5/25) * (5/7)

= 25/175

= 1/7.

Full question:

1/5 of the animals in the zoo are monkeys 5/7 of the monkeys are male. What fraction of the animals in the zoo are male monkeys?

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A decrease in the price of cotton can have positive effects on the affordability and availability of socks in the market, benefiting consumers by potentially offering lower prices and a wider range of choices.

If the price of cotton falls in the market for a bag of socks, it is likely to have an impact on the overall cost and availability of socks. Cotton is a common material used in the production of socks, and its price plays a significant role in determining the cost of manufacturing.

When the price of cotton falls, it reduces the cost of raw materials for sock manufacturers. As a result, manufacturers may experience lower production costs. This can lead to several outcomes:

1. Decrease in sock prices: With lower production costs, manufacturers have the option to reduce the prices of socks to attract customers. This can result in more affordable socks for consumers, making them more accessible.

2. Increase in sock supply: Lower production costs may incentivize manufacturers to increase their sock production. As a result, the supply of socks in the market could rise, leading to a greater availability of socks for consumers.

3. Potential for improved quality or additional features: Manufacturers may choose to invest the cost savings from lower cotton prices into enhancing the quality of socks or adding extra features. This can result in socks with improved durability, comfort, or design, providing more options for consumers.

It's important to note that the impact of falling cotton prices on sock prices and availability may also depend on other factors, such as production and distribution costs, market competition, and consumer demand. Additionally, the extent to which the price reduction in cotton translates into lower sock prices may vary among different brands and retailers.

Overall, a decrease in the price of cotton can have positive effects on the affordability and availability of socks in the market, benefiting consumers by potentially offering lower prices and a wider range of choices.

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The triangles DEF are similar with D'E'F'

The bases of D'E'F' and DEF are 10 and 4 units respectively

Carl is correct, because when the sides of the triangle are compared , the ratio gives 5/2

Answer:

x = 13  and  x = -3

Step-by-step explanation:

divide each side by 2 first and get:

(x-5)² = 64

take the square root of each side next and get:

x - 5 = \(\sqrt{64}\)

x - 5 = 8  and  x - 5 = -8

x = 13  and  x = -3

Answer:

x = 13 and x = -13

Step-by-step explanation:

.........

True. Because they have comparable angles, the offered figures are comparable figures.

Similar figures are described as two shapes that share the same shape but differ in size. For instance, similar objects are depicted but are not consistent in different-sized images of a person, such as passport size, stamp size, etc. In geometry, two comparable shapes with different side lengths or sizes are those whose dimensions are equal or have a common ratio. Examples of these shapes are similar triangles, similar rectangles, and similar squares. Scale factor is the name given to the common ratio. The matching angles are also of equal measure.

If two figures are similar, then they are represented by the symbol ‘∼’. Let us say there are two triangles, ABC and PQR, which are similar, then they are represented as;

∆ABC ~ ∆ PQR

Now if the two triangles are similar to each then their corresponding sides should be in proportion. Hence,

AB/PQ = BC/QR = AC/PR

∠A = ∠P, ∠B = ∠Q, ∠C = ∠R

Since, we can see that the angles in both the given figures are exactly the same. Thus, the given figures are similar figures.

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Answer: 17 hours

Step-by-step explanation:

R=Ravi. I=Ira

R=73h

R=73(15)

I=64h

R=I

73*15=64h

64h=1095

h=17.11

h=17 hours

The percent of the original price for the end-up paying in the given store is 0.5.

The original price is calculated by

Sale price = (1 - percent off) × original price

I.e., P = (1 - d) × x

It is given that,

discount is given as 35%

For advertising, it is given as 25% off

The discount percentage is calculated by

(1 - 35%) = 0.65

The additional payoff is calculated by

(1 - 25%) = 0.75

Then, the percent of the original price = 0.65 × 0.75 = 0.4875

On rounding off to the nearest decimal,

Percent of the original price = 0.5.

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Let me first ask this :

how do u find the midnumber of 1 and 3 ?

( 1 + 3 ) ÷ 2 =

4 ÷ 2 =

2

_________________________________

It is the exact way we do to find the midpoint of a line ; have a look :

The midpoint of AB is P thus :

( Point A + Point B ) ÷ 2 = Point P

Suppose that we have point B as ( x , y ) then :

[ ( 2 , 3 ) + ( x , y ) ] ÷ 2 = ( 6 , - 1 )

Now we add the same components of points A and B together, that is, we add the first component A to the first component B and replace the first component, and so we add the second component A to the second component B. And replace the second component :

[ ( 2 + x , 3 + y ) ] ÷ 2 = ( 6 , - 1 )

( 2 + x/2 , 3 + y/2 ) = ( 6 , - 1 )

Well now we have a draw so the first components of both sides of the draw must be equal Also, the second components of the two sides of the equation must be equal , thus :

2 + x/2 = 6

Multiply both sides by 2

2 × ( 2 + x )/2 = 2 × 6

2 + x = 12

Subtract both sides 2

2 - 2 + x = 12 - 2

3 + y/2 = - 1

Multiply both sides by 2

2 × ( 3 + y )/2 = 2 × ( - 1 )

3 + y = - 2

Subtract both sides 3

3 - 3 + y = - 2 - 3

________________________________

And finally, after all the hardship and misery, we realized that

Which mean Option C is the correct answer.

And we're done...

Answer:

1,128 sorry I'm not sure but thank you

Answer:

10 more packs

Step-by-step explanation:

400 sweets bought 25 such packs = 400*25=10000

2000 each one gets 7 = 2000*7=14000

14000-10000=4000

4000/400 is 10.

So 10 more packs.

Hit the crown :D

Answer:

Step-by-step explanation:

400 sweets in a pack * 25 packs = 10,000 sweets

2000 kids * 7 sweets = 14,000

We need 4,000 more sweets. That would be 10 packs more  since there are 400 sweets in a pack.

The height of the rectangular prism is 1.148 centimeters.

Let the height of the rectangular prism be y centimeters. The surface area of the composite figure is the sum of the surface areas of the rectangular prism and the rectangular pyramid.

Surface area of rectangular prism = 2lw + 2lh + 2wh

= 2(18)(10) + 2(18)(y) + 2(10)(y)

= 360 + 36y + 20y

= 360 + 56y

Surface area of rectangular pyramid = lw + (l/2)\(\sqrt{w/2^{2} +h^{2} }\)+ (w/2)\(\sqrt{l/2^{2} +h^{2} }\) + l*\(\sqrt{w/2^{2} +l/2^{2} +h^{2} }\)

= (1810)/2 + (18/2)*\(\sqrt{5^{2} +12^{2} }\)+ (10/2)\(\sqrt{9^{2} +12^{2} }\) + 18\(\sqrt{5^{2} +9^{2} +12^{2} }\)

= 90 +( 54 + 45 + 324)\(\sqrt{29}\)

= 414\(\sqrt{29}\) + 90

Therefore, the surface area of the composite figure = Surface area of the rectangular prism + Surface area of the rectangular pyramid

844 = 360 + 56y + 414\(\sqrt{29}\) + 90

Subtracting 450 from both sides and then dividing by 56, we get:

y + 15\(\sqrt{\frac{29}{2} }\) = 7

y = 1.148

Therefore, the height of the rectangular prism is approximately 1.148 centimeters when rounded to three decimal places.

Hence, the height of the rectangular prism is 1.148 centimeters.

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Answer:

Step-by-step explanation:

The height of the rectangular prism is 1.148 centimeters.

Let the height of the rectangular prism be y centimeters. The surface area of the composite figure is the sum of the surface areas of the rectangular prism and the rectangular pyramid.

Surface area of rectangular prism = 2lw + 2lh + 2wh

= 2(18)(10) + 2(18)(y) + 2(10)(y)

= 360 + 36y + 20y

= 360 + 56y

Surface area of rectangular pyramid = lw + (l/2)+ (w/2) + l*

= (1810)/2 + (18/2)*+ (10/2) + 18

= 90 +( 54 + 45 + 324)

= 414 + 90

Therefore, the surface area of the composite figure = Surface area of the rectangular prism + Surface area of the rectangular pyramid

844 = 360 + 56y + 414 + 90

Subtracting 450 from both sides and then dividing by 56, we get:

y + 15 = 7

y = 1.148

Therefore, the height of the rectangular prism is approximately 1.148 centimeters when rounded to three decimal places.

Hence, the height of the rectangular prism is 1.148 centimeters.

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Answer:

10 m

Step-by-step explanation:

x2 + 242 = 262

x2 + 576 = 676

x2 = 100

x = 10

The chord is 10 m from the center of the circle.

Mine is not heating up I don't know about others

Initial time = 4 minutes and 25 seconds

first improve = 13 seconds

second improve = 16 seconds

third improve = 8 seconds

First, we have to add all the improvements:

13+16+8 = 37 seconds

Then we have to subtract the result to the initial time:

4m 25 sec -37 sec =

Since 1 minute = 60 seconds

4 minutes x 60 = 240 seconds

240 + 25 sec = 265 seconds

4m 25 sec = 265 seconds

Back with the subtraction:

265 sec-37 sec = 228 seconds

Michaels best swimming time was 228 seconds.

To convert it into minutes:

228 /60 = 3.8 minutes

The p-value for a hypothesis test that μx=520 is the probability of observing a sample mean as extreme or more extreme than 520, assuming that the true population mean is 520. It is calculated using the test statistic and a t-distribution or z-distribution, and is used to make a decision about the null hypothesis.

The p-value for a hypothesis test is the probability of observing a test statistic as extreme or more extreme than the one observed, assuming that the null hypothesis is true. In the case of the hypothesis test that μx=520, the p-value would be the probability of observing a sample mean as extreme or more extreme than 520, assuming that the true population mean is 520.

To calculate the p-value, we would first need to calculate the test statistic, which is the difference between the sample mean and the hypothesized population mean, divided by the standard error of the sample mean. The standard error of the sample mean is the standard deviation of the population divided by the square root of the sample size.

Once we have the test statistic, we can use a t-distribution or a z-distribution, depending on the sample size, to find the p-value. The p-value is the area in the tail of the distribution that corresponds to the test statistic.

If the p-value is less than the significance level, we would reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis. If the p-value is greater than the significance level, we would fail to reject the null hypothesis and conclude that there is not enough evidence to support the alternative hypothesis.

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An estimate for the total volume of food and water you've ingested in the last day is 3000-5000 milliliters. On average, the heart pumps about 5 liters of blood per minute. 10-20% or more error I'm expecting. Calculating heart blood volume compared to food and drink consumption is crucial for understanding circulation and liver function.

D.1 Estimating the amount of food and water consumed in a day can be difficult without specific measurements, but a rough estimate can be made based on typical intake amounts. On average, a person may consume 2-3 liters of water and 1000-2000 calories per day, resulting in an estimated total volume of 3000-5000 milliliters.

D.2 The amount of blood pumped by the heart varies from person to person and depends on factors such as heart rate and overall health. On average, the heart pumps about 5 liters of blood per minute, which is much larger than the estimated volume of food and water intake.

D.3 Estimating food and water intake and blood flow is prone to error due to variability and uncertainties in personal measurements. Individuals' habits, health, and physical activity levels can affect these estimates, potentially resulting in a significant error of 10-20% or more.

D.4 The calculation of the heart's blood volume compared to food and drink consumption is crucial for understanding the circulation system and liver role.

The liver processes nutrients, detoxifies, and produces blood components, while the heart is responsible for circulating blood throughout the body. The vast difference in volume between the two is emphasized, emphasizing the heart's crucial role in maintaining circulation.

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