How to solve this?
4cos(4x)sin(10x)

Answers

Answer 1

Answer:

Answer:

2/5 or 0.4

Step-by-step explanation:

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Find the general solution of the following equation. Express the solution explicitly as a function of the independent variable. x^2 dw/dx = √ w(2x+5)

Answers

Answer:

Therefore the general solution is

$2 \sqrt w = 2 ln(x) - 5 \frac1x +c$

Step-by-step explanation:

Integration Rule:

$\int x^n dx= (x^(n+1))/(n+1)+c$
$\int \frac1x dx= ln(x) +c$

Given differential equation is

$x^2 (dw)/(dx)= √(w)(2x+5)$

$\Rightarrow x^2 dw= √(w) (2x+5) dx$ [ multiplying dx both sides]

$\Rightarrow (dw)/(\sqrt w)= ((2x+5))/(x^2) dx$ [ dividing $x^2\sqrt w$ both sides]

Integrating both sides

$\int (dw)/(\sqrt w)=\int ((2x+5))/(x^2) dx$

$\Rightarrow \int w^(-\frac12) dw=\int ((2x)/(x^2)+(5)/(x^2) )dx$

$\Rightarrow \int w^(-\frac12) dw=\int (2)/(x)dx +\int(5)/(x^2) dx$

$\Rightarrow (w^(-\frac12+1))/(-\frac12+1) =2ln x+5 (x^(-2+1))/(-2+1)+c$ [ c is arbitrary constant]

$\Rightarrow 2 \sqrt w = 2 ln(x) - 5 \frac1x +c$

Therefore the general solution is

$2 \sqrt w = 2 ln(x) - 5 \frac1x +c$

A distance was observed four times as 248.13, 248.06, 248.18, 248.15. The observations were given a weight of 3 1, 2, and 3, respectively, but the observer. a.Calculate the weighted mean for line BC. b.Calculate the weighted mean of BC if weights are revised as 1, 1, 3, & 3 respectively.

Answers

Answer:

a. 248.14

b. 220.576

Step-by-step explanation:

The weighted mean can be calculated as

Xbarw= sumwx/sumw

where x are the observations and w are the weights of the observations.

x w wx

248.13 3 744.39

248.06 1 248.06

248.18 2 496.36

248.15 3 744.45

sumwx=744.39+248.06+496.36+744.45=2233.26

sumw=3+1+2+3=9

Xbarw= sumwx/sumw

Xbarw= 2233.26/9

Xbarw= 248.14

The weighted mean for line BC is 248.14.

x w wx

248.13 1 248.13

248.06 1 248.06

248.18 3 744.54

248.15 3 744.45

sumwx=248.13+248.06+744.54+744.45=1985.18

sumw=3+1+2+3=9

Xbarw= sumwx/sumw

Xbarw= 1985.18/9

Xbarw= 220.576

The weighted mean for line BC is 220.576.

Final answer:

The weighted mean of line BC for the first given weights is 248.13. The weighted mean for the revised weights is 248.14.

Explanation:

The weighted mean of a set of values is calculated by multiplying each value by its weight, summing those products, and then dividing the sum by the total of the weights. So we will first multiply each distance by its corresponding weight then add them all up and divide it by the sum of weights. Let's calculate.

For the first case, the weights given are 3, 1, 2, and 3. The weighted mean of BC can be computed as ((248.13*3)+(248.06*1)+(248.18*2)+(248.15*3)) / (3+1+2+3), which equals 248.13.
For the second case, the weights are revised as 1, 1, 3, and 3. The weighted mean of BC in this case is ((248.13*1)+(248.06*1)+(248.18*3)+(248.15*3)) / (1+1+3+3), which gives 248.14.

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Find the area of the shape

Answers

Answer:

The area is 91 cm²

Step-by-step explanation:

The shape is a kite.

area of a kite = ½(p*q)

Where, p and q are the diagonals of the kite.

p = 13 cm

q = 7 + 7 = 14 cm

The area of the kite = ½(13 * 14)

= ½(182)

Area = 91 cm²

The nth term of a sequence is -3-3n what is the 6th term

Answers

Answer:

-21

Step-by-step explanation:

if for s(n) = -3-3n

then s(6) = -3-3*6 = -3-18 = -21

What is the volume of 22.5 g of metal with a density of 2.81 g/cm

Answers

Answer:V = 72.1 cm³ - 50.0 cm³ = 22.1 cm³

D = mV=99.7g22.1cm³ = 4.51 g/cm³

Step-by-step explanation:

d = mV

m = d×V

V = md

DENSITY

Density is defined as mass per unit volume.

d = mV

Example:

A brick of salt measuring 10.0 cm x 10.0 cm x 2.00 cm has a mass of 433 g. What is its density?

Step 1: Calculate the volume

V = lwh = 10.0 cm × 10.0 cm × 2.00 cm = 200 cm³

Step 2: Calculate the density

d = mV = 433g200cm³ = 2.16 g/cm³

MASS

d = mV

We can rearrange this to get the expression for the mass.

m = d×V

Example:

If 500 mL of a liquid has a density of 1.11 g/mL, what is its mass?

m = d×V = 500 mL × 1.11g1mL = 555 g

VOLUME

d = mV

We can rearrange this to get the expression for the volume.

V = md

Example:

What is the volume of a bar of gold that has a mass of 14.83 kg. The density of gold is 19.32 g/cm³.

Step 1: Convert kilograms to grams.

14.83 kg × 1000g1kg = 14 830 g

Step 2: Calculate the volume.

V = md = 14 830 g × 1cm³19.32g = 767.6 cm³

The economic entity assumption states that economic events A. of different entities can be combined if all the entities are corporations. B. must be reported to the IASB. C. of a sole proprietorship cannot be distinguished from the personal economic events of its owners. D. of every entity can be separately identified and accounted for.

Answers

Final answer:

The Economic Entity Assumption is a key principle in accounting, enabling economic events of individual entities to be separately identified and accounted. The correct answer to the question is 'D. of every entity can be separately identified and accounted for.', which means all types of entities, such as corporations or sole proprietorships, can have their economic events independently accounted for.

Explanation:

The Economic Entity Assumption is a principle in accounting that allows us to separate and identify the economic activities of different entities. This assumption plays an integral role in the management and understanding of a business’s financial health, as it enables the financial activities of a business to be distinguished from the personal financial activities of its owners. In response to the options given, the correct answer is 'D. of every entity can be separately identified and accounted for'. This means that each economic entity's events can be clearly differentiated and accounted for independently, regardless of whether they're corporations, sole proprietorships, or any other type of business model.

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Final answer:

The economic entity assumption states that the economic events of every entity can be accounted for separately. This principle is vital for accuracy and transparency in financial reporting, as it mandates the separation of business and personal financial activities.

Explanation:

The economic entity assumption is a fundamental principle in accounting. The correct answer is option D: economic events of every entity can be separately identified and accounted for. This assumption holds that the financial activities of a business entity should be kept separate from the personal financial activities of its owners or other business entities. For instance, a sole proprietor's personal expenses should not be mixed with the expenses of the business they own. This principle helps ensure the transparency and accuracy of a business's financial records. Without the economic entity assumption, accurately tracking and reporting financial information would be far more complex and confusing.