In Example 6.22 part b, if you use the first 5 terms of the Maclaurin series (instead of the first 4 terms as in the example), what would the sum be?
Answer with 4 decimal places. Note: All 4 decimal places might not be a correct approximation of the integral. Answer with 4 decimal places anyway.

To find the volume and surface area of the composite figure, we need to find the volume and surface area of the right cylinder and the hemisphere separately, and then add them together.

First, let's find the volume of the right cylinder.

The formula for the volume of a right cylinder is V = πr^2h, where r is the radius and h is the height. In this case, the radius is half of the diameter, which is 4/2 = 2 inches. So, the volume of the right cylinder is:

V1 = π(2)^2(12) = 96π cubic inches

Next, let's find the volume of the hemisphere. The formula for the volume of a hemisphere is V = (2/3)πr^3, where r is the radius. In this case, the radius is also 2 inches. So, the volume of the hemisphere is:

V2 = (2/3)π(2)^3 = 16/3π cubic inches

To find the total volume of the composite figure, we just need to add V1 and V2:

Vtotal = V1 + V2 = 96π + 16/3π = 320/3π cubic inches

Now, let's find the surface area of the composite figure.

To do this, we need to find the surface area of the curved surface of the cylinder, the top of the cylinder, and the curved surface of the hemisphere separately, and then add them together.

The formula for the surface area of the curved surface of a cylinder is A = 2πrh, where r is the radius and h is the height. In this case, the radius is still 2 inches, and the height is 12 inches. So, the surface area of the curved surface of the cylinder is:

A1 = 2π(2)(12) = 48π square inches

The formula for the surface area of the top of a cylinder is A = πr^2, where r is the radius. In this case, the radius is still 2 inches. So, the surface area of the top of the cylinder is:

A2 = π(2)^2 = 4π square inches

Finally, the formula for the surface area of the curved surface of a hemisphere is A = 2πr^2, where r is the radius. In this case, the radius is still 2 inches. So, the surface area of the curved surface of the hemisphere is:

A3 = 2π(2)^2 = 8π square inches

To find the total surface area of the composite figure, we just need to add A1, A2, and A3:

Atotal = A1 + A2 + A3 = 48π + 4π + 8π = 60π square inches

So, the volume of the composite figure is 320/3π cubic inches, and the surface area of the composite figure is 60π

square inches.

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Answer:

first angle is 95

second angle is 95

third angle is 95

the sum of angle in a quadrilateral is 360

therefore 95+95+95°=285

to get the fourth angle=360-285=75

therefore the fourth angle is 75°

Answer:

2/5,4/9,5/7

Step-by-step explanation:

2/5 = 0.4

4/9 = 0.444444444

5/7 = 0.714285

a. Yes, it is possible to apply supertype/subtype hierarchy to the above situation.  The EER diagram is shown below. The specialization rule it satisfies is partial completeness constraint. c. A possible scenario in which the diagram satisfies the other specialization rule. d. To incorporate the fact that the owner wants to sell both new and old products.

This is because all of the electronic goods are related to each other in some way. These items can be grouped together as electronic devices, and each type of device can have its own set of attributes.

b. The EER diagram is shown below. The specialization rule it satisfies is partial completeness constraint.

c. A possible scenario in which the diagram satisfies the other specialization rule (disjointness constraint) is if the store decides to only sell one type of device (for example, only mobile phones).

d. To incorporate the fact that the owner wants to sell both new and old products, we can add a "condition" attribute to the device entity. This attribute can have two possible values: "new" or "old". We can also add a "date of manufacture" attribute to the device entity to keep track of when the product was made.

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Answer: a>l and a<164

Step-by-step explanation:

The first one is that because Andre’s height is greater than Lin’s (the letters represent their names, but if the paper says to use other variables, do that)

The second one is because Andre’s height is less than his teacher’s, which is 164. For that one, you could also do 164> a, but I’d go with the first one.

Hope this helps :D

The area under the standard normal distribution curve to the right of z = 2.12 is 0.0170.

In this question:

Area right to the right of the z = 2.12

Using a TI-83 Plus/TI-84 Plus calculator,

P(Z> 2.12)

= P(Z<-2.12)

= 0.0170

Therefore the area under the standard normal distribution curve to the right of z = 2.12 is 0.0170.

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Answer:

I don't know. Make your question clearer, please.

Step-by-step explanation:

The geometric mean is used to determine the average annual percent increase, as it accurately accounts for compounding growth over multiple periods. The correct option is E.

The measure of central tendency that is typically used to determine the average annual percent increase is the arithmetic mean. This measure takes the sum of all the values and divides it by the total number of values.

It is important to note that other measures, such as the geometric mean, can also be used in certain situations. But for most cases, the arithmetic mean is the go-to measure for determining the average annual percent increase.

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Answer:

y=x+9

Step-by-step explanation:

First, remove the parentheses.

Write in slope-intercept form. (y=mx+b)

Actually, it isn't that difficult to solve if you break it down piece-by-piece so it's easier to understand.

_____________________________________________________

We are given the following:

\(2*3(4+3^1^4(4+10)^3+5)^2\)

1. First, multiply 2 * 3 = 6.

2. Next, simplify remaining parts of equation.

\(4+3^1^4(4+10)^3+5=9+3^1^4*2744\)

\(6(9+3^1^4*2744)^2\)

3. Finally, solve.

\((9+3^1^4*2744)^2=13124466945^2\)

\(6*13124466945^2\) ← Final Solution

Hope this helps! If so, feel free to lmk. Besides that, good luck!

The heights of the two triangles with the same bases but different slopes will be in a ratio of 1:2.

In a triangle, the height is the perpendicular distance from the base to the opposite vertex. If one triangle has a slope that is double the slope of the other triangle, it means that the height of the first triangle is double the height of the second triangle.

Let's say the height of the first triangle is h1 and the height of the second triangle is h2. Since the slopes are in a ratio of 1:2, we can write:

h1 / h2 = 1 / 2

To find the heights, we can multiply both sides of the equation by h2:

h1 = (1/2) * h2

This shows that the height of the first triangle is half the height of the second triangle. Therefore, the heights of the two triangles are in a ratio of 1:2.

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Answer:

False.

6 miles is farther than 6 kilometers. One mile is equal to 1.60934 kilometers, so 6 miles is equal to 6 x 1.60934 = 9.65604 kilometers. Therefore, 6 miles is farther than 6 kilometers.

Step-by-step explanation:

The answer is:

Work/explanation:

We can't really compare two things if they have different units.

So we need to convert kilometers to miles first.

1 km is approximately equal to 0.621 miles.

So 6 km would be approximately 3.728 miles.

6 miles is further away than 3.728 miles.

6 km is not as far as 6 miles. And now we know why.

Answer:

Zero

Step-by-step explanation:

The value of the percent increase in the value of W is 50%.

How can I determine the ratio between two quantities?

When the ratio of each of the two quantities' values is equal, the two quantities are said to be proportionate. It comes in two varieties: direct and indirect. The ratio is more than one for direct relations whereas it is less than one for indirect relations.

The relationship provided in the issue can be expressed as,

W ∝ X

X now has a new value when it is increased by 50%:

X + 50% × X

⇒ X + 50/100 × X = 3X/2

Assume that X and W now have values of X1 and W1, respectively.

Consequently, they are related in the following ways:

W ∝ X

⇒ 3/2W ∝ 3/2X

⇒ 3/2W ∝ X₁

W's value is increased by 3/2W - W, which equals 1/2W.

The percentage growth

⇒ (1/2W)/W × 100%  = 50%

Hence, the percent increase is obtained as 50%.

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Answer:

Medium box: 343 in^3

Large box: 636 in^3

Step-by-step explanation:

- Volume small box = 218 in^3

- Area face medium box = 49 in^2. (7x7=49)

Volume medium box = 7^3 = 343 in3

- Combine volume of the 3 boxes = 1,197 in^3

- Volume large box = 1,197 - 218 - 343 = 636 in^3

Answer:

7

Step-by-step explanation:

The middle 2 numbers are 6 and 8. Add them both up and divide them by 2. Gets you 7.

A large-scale bakery needs an oven that can accommodate around 933 units of bread to produce 4000 units per hour with a 14-minute baking time.

We need to find the oven capacity to produce 4000 units of bread per hour while taking into account the 14-minute baking time.

Convert the baking time to hours
14 minutes = 14/60 = 7/30 hours
Calculate the number of baking cycles per hour
1 hour / (7/30 hours per cycle) = 30/7 cycles per hour
Calculate the number of bread units needed per baking cycle
4000 units per hour / (30/7 cycles per hour) = 4000 * (7/30) = 2800/3 ≈ 933.33 units per cycle
Round to the nearest integer
The required oven capacity is approximately 933 units of bread that can be baked simultaneously.

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Answer: 75+30 = 15 x 7

Step-by-step explanation:

The given expression is 75+30 (=105) which defines the sum of 75 and 30.

Prime factorization of 75 and 30 are as below:

75 = 5 x 5 x 3

30 = 5 x 3 x 2

GCD (75,30) = 5x 3 = 15  [Note: GCD = Greatest common divisor]

Consider 75+30 = (15 x 5) + (15 x 2)   [75 = 15 x 5 and 30= 15 x 2]

=  15 (5+2)   [taking 15 as common ]

= 15 x (7)

(=105)

So,  75+30 which is sum of the numbers and it is expressed as 15 x 7 which  a product of their GCF.

Answer:

All real numbers

Step-by-step explanation:

Here, we want to get the domain

The domain refers to the possible x values of the function

As we can see, the plot extends thoroughout the entirety of the graph

This extends from positive infinity to negative infinity

This means that the domain is all real

numbers

Accoding to the calculations , the correct answer is:

A) Depreciation charge 16,000; revaluation surplus £20,000

According to IAS 16 Property, Plant and Equipment, the depreciation charge for an asset should be based on its carrying amount, useful life, and residual value.

In this case, the buildings were purchased for £400,000 (£480,000 - £80,000) and had a useful life of 25 years. Since there is no residual value, the depreciable amount is equal to the initial cost of the buildings (£400,000).

To calculate the annual depreciation charge, we divide the depreciable amount by the useful life:

£400,000 / 25 = £16,000

Therefore, the depreciation charge for the year ended 30 September 2021 is £16,000.

Now, let's calculate the balance on the revaluation surplus as at that date.

The revaluation surplus is the difference between the fair value of the property and its carrying amount. On 1 October 2020, the property was revalued to £500,000, and the carrying amount was £480,000 (£400,000 for buildings + £80,000 for land).

Revaluation surplus = Fair value - Carrying amount

Revaluation surplus = £500,000 - £480,000

Revaluation surplus = £20,000

Therefore, the balance on the revaluation surplus as at 30 September 2021 is £20,000.

Based on the calculations above, the correct answer is:

A) Depreciation charge £16,000; revaluation surplus £20,000

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2/3 + 1/4 = 11/12

Fractions are very important in many areas such as math, physics, engineering, chemistry and many more, understanding how to add fractions with unlike denominators is a fundamental skill that will help you in many aspects of your life.

Adding fractions with unlike denominators can be a bit tricky, but with the right understanding and techniques, it's definitely doable.

When we add fractions with unlike denominators, we need to first find a common denominator. A common denominator is a number that is a multiple of both denominators. Once we have a common denominator, we can add the fractions as usual by adding the numerators and keeping the denominator the same.

Here are a few examples of adding fractions with unlike denominators:

2/3 + 1/4

We can find a common denominator by finding the least common multiple (LCM) of 3 and 4. The LCM of 3 and 4 is 12.

So, we can convert 2/3 to 8/12 by multiplying the numerator and denominator by 4.

We can convert 1/4 to 3/12 by multiplying the numerator and denominator by 3.

Now we can add the fractions by adding the numerators: 8/12 + 3/12 =

1/5 + 2/7

We can find a common denominator by finding the least common multiple (LCM) of 5 and 7. The LCM of 5 and 7 is 35.

So, we can convert 1/5 to 7/35 by multiplying the numerator and denominator by 7.

We can convert 2/7 to 10/35 by multiplying the numerator and denominator by 5.

So, we can convert 3/4 to 9/12 by multiplying the numerator and denominator by 3.

We can convert 1/3 to 4/12 by multiplying the numerator and denominator by 4.

Now we can add the fractions by adding the numerators: 9/12 + 4/12 = 13/12

So, 3/4 + 1/3 = 13/12

It's important to note that when adding fractions, it's also important to simplify the final result if possible.

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Answer:

the answer according to my calculations will be 12

Step-by-step explanation:

the formula of area of trapezium is A=a+b÷2×h

and if we wanna solve for h

h=2 A÷ a+b

h=2 (234)÷39

after calculations...

h= 12  

hope it helps:)

Answer:

h = 12 cm

Step-by-step explanation:

The area (A) of a trapezium is calculated as

A = \(\frac{1}{2}\) h ( sum of parallel bases )

Here A = 234 and sum of bases = 39 , then

\(\frac{1}{2}\) h × 39 = 234 ( divide both sides by 39 )

\(\frac{1}{2}\) h = 6 ( multiply both sides by 2 to clear the fraction )

h = 12

When a cone is sliced in a direction parallel to the base, the resulting cross section is a circle.

A plane parallel to the base will intersect the curved surface of the cone at the same distance from the vertex all the way around, creating a circular shape.

This type of cross section is called a parallel cross section, and it is one of three types of cross sections that can be made when slicing a cone (the others being perpendicular and oblique).

In practical terms, this means that if you were to slice a cone-shaped cake or piece of fruit parallel to the base, you would end up with circular slices. This type of slicing can also be useful in engineering and construction, as it can create cylindrical shapes that can be used as columns or supports.

In summary, when a cone is sliced parallel to the base, the resulting cross section is a circle, and this type of slicing can be useful in a variety of applications.

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Answer: 0.535kilogram

Step-by-step explanation:

From the question, we are informed that Celeste ordered a pack with 7 pens and 1 stapler and that each pen weighed 7 grams while the stapler weighed 486 grams.

The weight of the order will then be:

= 7 pens + 1 stapler

= 7(7 grams) + 1(486 grams)

= 49 grams + 486 grams

= 535 grams

To convert grams to kilogram,, we have to divide by 1000. This will be:

= 535/1000

= 0.535kilograms

The order weigh 0.535kilograms

As k increases (from 1 to 8), the critical value increases. This is because as k increases, the probability of a Type I error decreases.

A Type I error is the probability of rejecting the null hypothesis when it is true. By increasing the critical value, it is making it less likely to reject the null hypothesis when it is true.

Power is the probability of rejecting the null hypothesis when it is false. As k increases, power also increases. This is because as k increases, the difference between the two populations becomes more pronounced. This makes it more likely that we will be able to detect a difference between the two populations.

In conclusion, as k increases, the critical value increases and power also increases. This is because as k increases, the probability of a Type I error decreases and the difference between the two populations becomes more pronounced.

The critical values for a sample size of 24 participants (N = 24) given the following values for k is attached.

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The exact x-coordinate of the point  is frac{1163}{291}6

The curve is given by {x = t² + 1, y = t² - t}.

Let's find dy/dx in terms of t as follows:

frac{dy}{dx} = frac{dy/dt}{dx/dt} = frac{(2t - 1)}{(2t)} = 1 - frac{1}{2t}

Therefore, when dy/dx = 27, we have:

1 - frac{1}{2t} = 27

Rightarrow 2t - 1 = frac{2}{27}

Rightarrow t = frac{29}{54}

The x-coordinate is given by x = t² + 1, therefore, we have:

x = left(frac{29}{54}right)^2 + 1

= frac{1163}{2916}

Hence, the exact x-coordinate of the point on the curve where the tangent line has slope 27 is frac{1163}{291}6

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Answer:

20

Step-by-step explanation:

= 0.25 (20−(22) (3) (\(\frac{2}{5}\)(25)

= 0.25 (20−(4) (3) (\(\frac{2}{5}\)(25)

= 0.25 (20−12) (\(\frac{2}{5}\)(25)

= (0.25) (8) (\(\frac {2} {5}\)(25)

= 2 (\(\frac {2} {5}\)(25)

= (2) (10)

= 2 x 10 = 20

Answer:

10) 1/2 lao per minute

11) 15 grams per serving

Step-by-step explanation:

10)

laps per minute

The laps are increasing by 1 as the minutes are increasing by 2

11)

The grams are increasing by 15 as the servings are increasing by 1