Find the surface area of the volume generated when the following curve revolves around the y-axis. If you cannot evaluate the integral exactly, use your calculator to approximate it. (Round your answer to four decimal places.) y = x2 from x = 0 to x = 2 36.7

The "x is small" approximation only works when the initial concentration of the reactant is relatively large and the equilibrium constant is small.

What does the "x is small" approximation mean? The x is small approximation does not mean that x is zero. If that were the case, the reactant and product concentrations wouldn't change from their initial values. The x is small approximation just means that when x is added or subtracted to another number, it doesn't change that number by very much. When does the "x is small" approximation work? The "x is small" approximation only works when the initial concentration of the reactant is relatively large and the equilibrium constant is small. What is the <5% rule? The x is small approximation must satisfy the <5% rule, whereby the x approximation divided by the number it was subtracted from is less than 5% (or 0.05). What is the method of successive approximation? The method of successive approximation is solving for x as if it were small, and then substituting the value obtained back into the equation (where x was initially neglected) to solve for x again. This can be repeated until the calculated value of x stops changing with each iteration, an indication that we have arrived at an acceptable value for x.

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The total number of eggs is 1542.

To find the total number of eggs, we can use the fact that the 540 eggs sold represent 35% of the total eggs. We can start by setting up a proportion:

35/100 = 540/x

where x is the total number of eggs. To solve for x, we can cross-multiply and simplify:

35x = 54000

x = 54000/35

x = 1542.86

Therefore, the total number of eggs is approximately 1542.86. Since we can't have a fraction of an egg, we can assume that the total number of eggs is 1542.

To find the number of eggs that are not sold, we can subtract the number of eggs sold from the total number of eggs:

1542 - 540 = 1002

Find out more about The total number of eggs is 1542.

To find the total number of eggs, we can use the fact that the 540 eggs sold represent 35% of the total eggs. We can start by setting up a proportion:

35/100 = 540/x

where x is the total number of eggs. To solve for x, we can cross-multiply and simplify:

35x = 54000

x = 54000/35

x = 1542.86

Therefore, the total number of eggs is approximately 1542.86. Since we can't have a fraction of an egg, we can assume that the total number of eggs is 1542.

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Answer:

The lines that go through all 3 sides of the triangle mean the angles are all equal. Since a triangle is 180 degrees, to find a single angle, we must divide by 3.

180 degrees / 3 = 60 degrees

Solve for X

60 = (2x + 10)  

-10 from both sides:

50 = (2x)

x = 25

Solve for Y

60 = (3y + 3)

-3 from both sides:

57 = (3y)

y = 19

Hope that helps

Answer:

Step-by-step explanation:

If at a school of 550 children 80% walk to school, the 110 children come to school by other means.

If 80% of the children walk to school, then the remaining 20% of children must arrive at school by other means (such as being driven by a parent, taking public transportation, etc.).

To find out how many children come to school by other means, we can use the following formula:

Number of children who come to school by other means = Total number of children x Percentage who don't walk to school

In this case, we have:

Number of children who come to school by other means = 550 x 20% = 110

Therefore, 110 children come to school by other means.

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The given question is incomplete, the complete question is:

At a school of 550 children 80% walk to school, how many comes in other way ?

Answer: The first 24 cupcakes cost $1.50 each, and all cupcakes after that cost $1 each.

Step-by-step explanation:

The graph shows two pieces of the function, with one increasing from the point (0, 0) through the point (12, 18) to the endpoint (24, 36) and the other increasing from the point (24, 36) through the point (48, 60) to the right.

This means that the first 24 cupcakes cost $1.50 each and all cupcakes after that cost $1 each, as shown by the first piece of the function. The second piece of the function shows that the price per cupcake does not increase after 36 cupcakes, so option 3 and option 4 can be eliminated.

Therefore, the correct answer is: The first 24 cupcakes cost $1.50 each, and all cupcakes after that cost $1 each.

Answer:

1.65 pounds

Step-by-step explanation:

6.6 ÷ 4 = 1.65

Answer:

1.65

Step-by-step explanation:

since all together it weighs 6.6 pounds then 1 = x then you cross multiply after cross multiplying you divide 4 by 6.6. Then x = 1.65

Answer:

all you gotta do is mirror that half u and make it a full u

and since the points it intersects at is (1,-1) plot the other half on (1,1)

Answer:  The total area for the door is 1.89 and the total area for the windows is 7.2

Step-by-step explanation:

door+ 0.9 x2.1= 1.89 and window= 1.5 x 1.2=1.8 x 4= 7.2

Answer: yes

Step-by-step explanation:

there is a 50% chance of landing on heads which means that you are statistically likely to have cereals for half a month and toast for half a month. half a month is usually 15 days so your friend is correct

please mark brailiest

The minimum number of moves required to complete the Tower of Hanoi game is related to the number of disks, and can be described by the equation m = [tex]2^n - 1[/tex].

Let n be the number of disks and m be the minimum number of moves required to complete the Tower of Hanoi game. Renae's observations suggest that the equation m = [tex]2^n - 1[/tex] describes this pattern.

When n=1, the minimum number of moves required to complete the game is m=1. Plugging this value into the equation m=[tex]2^n-1[/tex]gives m=[tex]2^1-1[/tex]=1. Therefore, the equation holds true for n=1.

Assume that the equation holds true for n=k. That is, m=[tex]2^k-1[/tex] is the minimum number of moves required to complete the game with k disks.

Now, consider the case where n=k+1. This requires a minimum of m=[tex]2^k-1[/tex] moves, according to the equation. Then, the largest disk can be moved to the ending peg in one move. Finally, the k disks that were moved to the spare peg must be moved to the ending peg, which requires another minimum of m=[tex]2^k-1[/tex] moves.

Thus, the total minimum number of moves required to complete the game with k+1 disks is:

m = [tex]2(2^k-1) + 1[/tex]

m = [tex]2^(k+1) - 2 + 1[/tex]

m = [tex]2^(k+1) - 1[/tex]

This is the same as the equation we started with, but with k+1 in place of n. Therefore, the equation holds true for all positive integers n by mathematical induction.

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The simplified form of the expression the sum of 6. 6 and 3. 2 all divided by 5 times the quantity of the squared difference of 2 minus 5 plus 6 is -0.3267

To simplify this expression, we'll work from the inside out, using the order of arithmetic operation

First, we'll evaluate the expression inside the parentheses:

(2 - 5 + 6) = 3

Next, we'll calculate the squared difference of 2 and 5:

(2 - 5)^2 = (-3)^2 = 9

Then, we'll subtract the result from step 2 from the result of step 1:

3 - 9 = -6

Next, we'll calculate the sum of 6.6 and 3.2:

6.6 + 3.2 = 9.8

Finally, we'll divide the result from step 4 by 5 times the result from step 3:

9.8 / (5 × -6) = 9.8 / -30

= -0.3267 (rounded to four decimal places)

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Answer:

16

Step-by-step explanation:

because it is a square number. The other numbers, if you square root them you won't get a whole number.

Answer:

5 seconds

Step-by-step explanation:

when the phone hits the ground then y = 0 , that is

- 16t² + 400 = 0 ( subtract 400 from both sides )

- 16t² = - 400 ( divide both sides by - 16 )

t² = 25 ( take square root of both sides )

t = [tex]\sqrt{25}[/tex] = 5

the phone hits the ground after 5 seconds

Answer:

5 seconds

Step-by-step explanation:

y = [tex]-16t^{2} + 400 \\[/tex]

Make t the subject:

[tex]16t^{2} = -400\\t^{2} = \frac{400}{16} = 25\\ t = \sqrt{25} = 5[/tex]

Therefore the answer is 5 seconds

Answer: 3

Step-by-step explanation:

k = y/x

Answer:

Step-by-step explanation:

[tex](x+14)^2+x^2=22^2[/tex]          (Pythagoras Theorem)

[tex](x^2+28x+196)+x^2=484[/tex]

[tex]2x^2+28x+196=484[/tex]

[tex]2x^2+28x-288=0[/tex]

[tex]x^2+14x-144=0[/tex]

Using quadratic formula,

  [tex]x=\frac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]  

  [tex]x=\frac{-14\pm \sqrt{(14^2-4\times1\times(-144)} }{2\times1}[/tex]

[tex]=\frac{-14\pm \sqrt{(196+576} }{2}[/tex]

[tex]=\frac{-14\pm 2\sqrt{193} }{2}[/tex]

[tex]=-7\pm\sqrt{193}[/tex]

[tex]=-7\pm13.89[/tex]

[tex]=6.89 ,-20.89[/tex]      (-20.89 is not useful...cannot have a negative length for

                             radius)                  

Solution: radius is 6.89

Answer: A - addition property of equality

Explanation: because -8x - 42 = -22

+42 +42

____________

-8x = 20

__ __

-8 -8

x = -2.5

The probability of getting all tails when flipping a coin three times can be calculated using the multiplication rule of probability. For each flip of the coin, there are two possible outcomes: heads or tails.

Assuming the coin is fair, both outcomes are equally likely, so the probability of getting tails on any one flip is 1/2.

P(all tails) = P(tails on first flip) x P(tails on second flip) x P(tails on third flip)

= (1/2) x (1/2) x (1/2)

= 1/8

Therefore, the probability of getting all tails when flipping a coin three times is 1/8 or 0.125 when expressed as a decimal rounded to four decimal places.

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1) Birth order among siblings in a family: Nominal level of measurement

2) Volume of water used by a household in a day: Ratio level of measurement

3) Highest degree conferred (high school, bachelor's, and so on): Ordinal level of measurement

4) Ages of children: 4 years, 5 years, 6 years, 7 years, and 8 years: Interval level of measurement

1) Birth order among siblings in a family: This variable is measured at the nominal level of measurement, as there is no inherent order or ranking to the categories

2) Volume of water used by a household in a day: This variable is measured at the ratio level of measurement, as it has a true zero point (i.e., no water usage) and the values can be compared in terms of ratios

3) Highest degree conferred (high school, bachelor's, and so on): This variable is measured at the ordinal level of measurement, as the categories have an inherent order or ranking (e.g., a bachelor's degree is higher than a high school diploma, but it does not necessarily indicate that someone with a bachelor's degree is "twice as educated" as someone with a high school diploma).

4) Ages of children: 4 years, 5 years, 6 years, 7 years, and 8 years: This variable is measured at the interval level of measurement, as the values have a meaningful order and distance between them (i.e., the difference between 4 years and 5 years is the same as the difference between 7 years and 8 years). However, there is no true zero point, as "zero years old" is not a meaningful category in this context.

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The solutions to the equation [tex]15z^2 +6z -8 =4z[/tex] are z = 2/3 or z = -4/5.

To solve the quadratic equation [tex]15z^2 +6z -8 =4z[/tex], we first need to rearrange it into standard form:

[tex]15z^2 + 2z - 8 = 0[/tex]

Now we can apply the quadratic formula:

z = (-b ± √(b² - 4ac)) / 2a

where a = 15, b = 2, and c = -8.

Plugging in these values, we get:

z = (-2 ± √(2² - 4(15)(-8))) / (2(15))

z = (-2 ± √(4 + 480)) / 30

z = (-2 ± √484) / 30

z = (-2 ± 22) / 30

So z equals either (-2 + 22)/30 = 2/3 or (-2 - 22)/30 = -4/5.

Therefore, the solutions to the equation 15z² +6z -8 =4z are z = 2/3 or z = -4/5.

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Gene expression occurs through transcription and then translation. From the given list, select all that pertain to transcription. Transcription is the process of converting DNA into RNA. The following are the items that are included in transcription: Using DNA as a template Using RNA polymerase Creation of mRNA Reading codons The RNA polymerase enzyme is responsible for catalyzing the formation of phosphodiester bonds between nucleotides that have been added to the growing RNA chain.

The RNA polymerase enzyme binds to the promoter region of a gene before unwinding the DNA helix and beginning transcription. In transcription, the DNA template strand is read by RNA polymerase in the 3′-to-5′ direction, but RNA is synthesized in the 5′-to-3′ direction. RNA polymerase reads the DNA template strand in the 3′-to-5′ direction, synthesizes the mRNA transcript in the 5′-to-3′ direction, and produces a new RNA molecule that is complementary to the DNA template strand. Thus, transcription is responsible for creating a single-stranded RNA molecule called messenger RNA (mRNA).Therefore, the correct answer is:

Using RNA polymerase Using DNA as a template Creation of mRNA Reading codons

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Answer:

To convert a decimal to an equivalent fraction, we need to first determine the place value of the decimal. For example, a decimal that ends in the tenths place (such as 0.4) has a denominator of 10. A decimal that ends in the hundredths place (such as 0.25) has a denominator of 100.

Once we have determined the denominator, we can convert the decimal to a fraction by placing the digits of the decimal in the numerator and the denominator. For example, 0.4 can be converted to the fraction 4/10. We can simplify this fraction by dividing both the numerator and denominator by their greatest common factor, which in this case is 2. So 4/10 simplifies to 2/5.

In general, to convert a decimal to a fraction, we can follow these steps:

1. Determine the denominator based on the place value of the decimal.

2. Place the digits of the decimal in the numerator and the denominator.

3. Simplify the fraction by dividing both the numerator and denominator by their greatest common factor.

It's important to note that sometimes decimals can be rounded, so the resulting fraction may not be exact. In such cases, we can use approximations or continue to simplify the fraction until we reach a desired level of accuracy.

This can be calculated by multiplying the number of tickets sold by their respective prices: 200 x $35 = $7,000 and 50 x $40 = $2,375.

The local theater fundraiser sold 200 pre-event tickets at $35 each and 50 at-the-door tickets at $40 each to generate a total revenue of $9,375. This can be calculated by multiplying the number of tickets sold by their respective prices: 200 x $35 = $7,000 and 50 x $40 = $2,375.

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Answer:

10

Step-by-step explanation:

7 rounds to 10

9 rounds to 10

19 rounds to 20

so Vicki has 40 birds

9 rounds to 10

12 rounds to 10

29 rounds to 30

so johnny has 50 birds

now subtract 50-40=10

From the given information provided, Odero would have had to sell the suit for 1224 to make a profit of 20%.

If Odero sold a suit for 960 and made a loss of 20%, it means his selling price was only 80% of the cost price. We can use this information to find his cost price:

Cost price = Selling price / (1 - Loss%)

Cost price = 960 / (1 - 0.20)

Cost price = 960 / 0.80

Cost price = 1200

Therefore, Odero's cost price for the suit was 1200.

Now, we need to find the selling price that would give him a profit of 20%. Let's call this selling price S:

Profit% = (Selling price - Cost price) / Cost price × 100

20% = (S - 1200) / 1200 × 100

2 = (S - 1200) / 12

S - 1200 = 24

S = 1224

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The correlation coefficient that reflects the strongest relationship is +0.25, the correct option is b.

EXPLANATION:

The correlation coefficient ranges from -1 to +1.

The magnitude (absolute value) of the correlation coefficient indicates the strength of the relationship, with values closer to -1 or +1 indicating a stronger relationship.

Therefore, the correlation coefficient that reflects the strongest relationship is +1.23.

However, since this value is greater than +1, which is not possible, it seems to be an invalid value.

Among the given options,

The correlation coefficient that reflects the strongest relationship is b) +0.25.

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The answer is one intersection.

What is a function?

A function is a relationship or expression involving one or more variables.  It has a set of input and outputs.

The graph of the function f(x) = 0.8x is a straight line with slope 0.8 passing through the origin (0, 0). The graph of the function g(x) = ⌊x⌋ is the collection of all points (x, y) where y is the greatest integer less than or equal to x. This function is not continuous and has a discontinuity at each integer.

To find the intersections between the two graphs, we need to determine where the values of f(x) and g(x) are equal.

we need to find the integer values of x where 0.8x and x are equal.

0.8x = x

0.2x = 0

x = 0

Thus, the two graphs intersect at the point (0, 0). There are no other intersections between the two graphs, since they have different slopes and one is continuous while the other is not. Therefore, the answer is one intersection.

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Answer:4x + 3x + 2x - 4 - 3

Step-by-step explanation:Hope this helps