a business company distributed bonus to its 24 employees from the net profit of rs 16 48000 if every employee recieved rs8240 what was the bonus percent​

To determine the change in angular momentum (ΔL) of a cylinder from t = 0 to t = t0, a student can use the equation:

ΔL = I * Δω

where ΔL is the change in angular momentum, I is the moment of inertia of the cylinder, and Δω is the change in angular velocity.

To calculate Δω, the student needs to know the initial and final angular velocities, ω0 and ωt0, respectively. The change in angular velocity can be calculated as:

Δω = ωt0 - ω0

Once Δω is determined, the student can use the moment of inertia (I) of the cylinder to calculate ΔL using the equation mentioned earlier.

The moment of inertia (I) depends on the mass distribution and shape of the cylinder. For a solid cylinder rotating about its central axis, the moment of inertia is given by:

I = (1/2) * m * r^2

where m is the mass of the cylinder and r is the radius of the cylinder.

By substituting the known values for Δω and I into the equation ΔL = I * Δω, the student can calculate the change in angular momentum (ΔL) of the cylinder from t = 0 to t = t0.

It's important to note that this method assumes that no external torques act on the cylinder during the time interval. If there are external torques involved, the equation for ΔL would need to include those torques as well.

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Answer:

5

Step-by-step explanation:

Plug in the numeric values

4 for m, -9 for n, -2 for p, and 12 for q.
add them together.
4 + -9 = -5

-5 + -2 = -7

-7 + 12 = 5

Your answer is 5

hope this helps

Answer: 33.3%

Step-by-step explanation:

First find the number of green balls in the basket:

= Total - yellow - blue - red

= 18 - 4 - 6 - 2

= 6 balls

The probability of picking a green ball can be found by the formula:

= Number of green balls / Number of total balls

= 6 / 18

= 33.3%

The range of the function for this situation is the interval [398.25, 400] gallons.

To determine the range of the function f(x) = 400 - 0.35x for the given situation, we need to find the possible values of the amount of water remaining in the pool.

The function f(x) represents the amount of water remaining (in gallons) after x minutes, where x ranges from 0 to 5.

To find the range of the function, we evaluate f(x) for the extreme values of x in the given range (0 to 5).

For x = 0, the initial amount of water remaining:

f(0) = 400 - 0.35(0) = 400 gallons

For x = 5, the amount of water remaining after 5 minutes:

f(5) = 400 - 0.35(5) = 400 - 1.75 = 398.25 gallons

Therefore, the range of the function for this situation is the interval [398.25, 400] gallons.

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Answer: 29

Step-by-step explanation:

Answer:

y= -1/2x + 1/2

Step-by-step explanation:

First, use the point-slope formula: y-y1 = m(x-x1)

y-2 = -1/2(x-(-3))

y-2= -1/2x + -1.5

(subtract 2 from both sides)

y = -1/2x + 1/2

answer:15x

Step-by-step explanation:

because 2x +3 is 5x 5x+10 is 15x

After considering the given data and carefully evaluating the given circumstances we conclude that the satisfactory answer to the given question is Option D.

According to Certified Public Account (CPA) Canada, the agreed-upon and fulfillment system regarding the procedures report must comprises  identification and explanation of the various parties involved in the AUP engagement.
The report on an engagement places of applying agreed-upon procedures must have a statement of restrictions on the use of the report due to its cause of being used solely by the specified parties.

Hence, the answer is D) A disclaimer of responsibility for the sufficiency of these procedures.
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The complete question is
A CPA was engaged to calculate the rate of return on a specific investment according to an agreed-upon formula and verify that resultant percentage agrees to the percentage in an identified schedule. The CPA's report on these agreed-upon procedures should contain:

Multiple Choice

A) A disclaimer of opinion on the fair presentation of the financial statements.

B) An opinion about the fairness of the agreed-upon procedures,

C) A separate paragraph describing the effectiveness of the internal controls.

D) A disclaimer of responsibility for the sufficiency of these procedures.

Answer:

Step-by-step explanation:

The Probability of Landing a heads is (1/2)

Now, to find the probability of landing it five times in a row, it is

1/2 x 1/2 x 1/2 x 1/2 x 1/2

( 1/2 is multiplied to the number of times to get a head )

The final answer will be,

Probability of landing heads 5 times in a row = 1/32

From the steps shown in the table given, we can conclude that: D. in solving the equation, the subtraction property of equality was not applied.

If a + b = c, to apply the subtraction property of equality so that b is moved to the other side of the equation, we would have:

a + b - b = c - b

a = c - b

Thus, from the table given, the none of the steps showed that the subtraction property of equality was applied in solving the equation, so, the answer is: D.

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Answer:

d = 15 kg/L

Step-by-step explanation:

The density d is the mass divided by the volume. But first let's convert volume to liters and mass to kilograms:

100 ml = 0.1 L

1500 g = 1.5 kg

d = m/v

d = 1.5/0.1

d = 15 kg/L

Answer:

Step-by-step explanation:

You are given the equation 8x -3 +4x +3 = 180 and asked to simplify it and solve for x.

Collecting terms, we have ...

  (8 +4)x +(-3 +3) = 180

  12x + 0 = 180

Dividing by the coefficient of x gives ...

  x = 180/12 = 15

The value of x is 15.

Step-by-step explanation:

sorry if answer is wrong

Given that Boolean function,

F(W,X,Y,Z)=ΠM(0,1,3,7,6,10,11,12,14,15)

To simplify the given Boolean function using Karnaugh map. We must follow the steps mentioned below:

The given function is of four variables, W, X, Y, Z. So, we will use a Karnaugh map with four variables.

Step 1: The Karnaugh map for the given Boolean function is shown below. We mark the minterms given in ΠM(0,1,3,7,6,10,11,12,14,15) on the Karnaugh map.

Step 2: Using the marked minterms, we form the groups of 1s, which contain the maximum number of 1s and each group must contain 2^n number of 1s.

Here, we get four groups.

Step 3: After forming the groups, we get the simplified Boolean function.

F(W,X,Y,Z) = WX + W'YZ' + X'YZ + W'X'Z'

Answer: The simplified Boolean function using Karnaugh map is F(W,X,Y,Z) = WX + W'YZ' + X'YZ + W'X'Z'.

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To find the probability P(z<-0.31) using the standard normal distribution, we need to use a table or calculator to look up the area under the curve to the left of z=-0.31.

Using a standard normal distribution table, we can find that the area to the left of z=-0.31 is 0.3765.

Therefore, the probability P(z<-0.31) is 0.3765.

Note that this means there is a 37.65% chance of a random variable from a normally distributed population being less than -0.31 standard deviations from the mean.

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Answer:

13.  \(x^2+y^2+2x-3\sqrt{x^2+y^2}=0\)

14.  \(r=3\cos(\theta)-2\sin(\theta)\)

Step-by-step explanation:

Question 13

Conversion from Polar equation to rectangular equation:

\(x=r \cos(\theta) \implies \cos(\theta)=\dfrac{x}{r}\)

\(y=r \sin(\theta) \implies \sin(\theta)=\dfrac{y}{r}\)

\(x^2+y^2=r^2 \implies r=\sqrt{x^2+y^2}\)

Given:

\(r=3-2\cos(\theta)\)

\(\textsf{Substitute }\cos(\theta)=\dfrac{x}{r}:\)

\(\implies r=3-\dfrac{2x}{r}\)

Multiply both sides by r:

\(\implies r^2=3r-2x\)

\(\implies r^2+2x-3r=0\)

\(\textsf{Substitute }x^2+y^2=r^2\:\textsf{and }r=\sqrt{x^2+y^2}:\)

\(\implies x^2+y^2+2x-3\sqrt{x^2+y^2}=0\)

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

Question 14

Conversion from Rectangular equation to polar equation:

\(x=r \cos(\theta)\)

\(y=r \sin(\theta)\)

\(x^2+y^2=r^2 \implies r^2\cos^2(\theta)+r^2\sin^2(\theta)=r^2\)

Given:

\(x^2+y^2-3x+2y=0\)

\(\textsf{Substitute }x^2+y^2=r^2\:\textsf{and }x=r \cos(\theta)\:\textsf{and }y=r \sin(\theta):\)

\(\implies r^2-3r\cos(\theta)+2r\sin(\theta)=0\)

Factor out common term r:

\(\implies r(r-3\cos(\theta)+2\sin(\theta))=0\)

Divide both sides by r:

\(\implies r-3\cos(\theta)+2\sin(\theta)=0\)

Rewrite to make r the subject:

Answer:

Step-by-step explanation:

im sorry cant help but i hope you have a gate day heres a quote "you can do any thing if you believe you can achieve so go go go!!!!!

The mean value of the sample is 89.

Standard deviation = 13.

We are given that a value of 128 has a z-score of 3.

Use the formula for z-score:

z = (x - μ) / σ

where:

x is the value of interest (in this case, x = 128)

μ is the mean of the sample

σ is the standard deviation of the sample

mean = x - z-score * standard deviation

mean = 128 - 3 * 13

mean = 89

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The value of `new_list` will be [1, 4, 9, 16].  In the given code, a new list `new_list` is created using a list comprehension.

The list comprehension iterates over each element `i` in the original list `my_list` and computes the square of each element using the expression `i**2`. The resulting squared values are then added to the new list.

Therefore, for each element in `my_list`, the corresponding squared value is appended to `new_list`. Since `my_list` contains the elements [1, 2, 3, 4], the squared values would be [1**2, 2**2, 3**2, 4**2], which simplifies to [1, 4, 9, 16]. Hence, the value of `new_list` is [1, 4, 9, 16].

The correct option is d. [1, 4, 9, 16].

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Answer:

1433.09

Step-by-step explanation:

4,000,000 divided by 64 = 62,500

62,500 divided by 42 1,433.09

He makes 1433.09 per minute

The answer is: A) The data support the researchers' belief that night owls have better dream recall than early birds. B) we can be 92% confident that the true difference in mean number of dreams recalled per week between night owls and early birds is between 1.87 and 2.63.

A) These are the alternative and null hypotheses:

H0: μE = μN (the mean number of dreams recalled each week is the same for early birds and night owls) (the mean number of dreams recalled per week is the same for early birds and night owls)

Ha: μE < μN (the mean number of dreams recalled each week is smaller for early birds than for night owls) (the mean number of dreams recalled per week is lower for early birds than for night owls)

Using the following formula, we can run a two-sample t-test with unequal variances:

t = [(sN2 / nN) + (sE2 / nE)] / sqrt[(xN - xE)]

where nN and nE are the sample sizes for night owls and early birds, respectively, and xN and sN and xE and sE are the sample means and standard deviations for night owls and early birds, respectively.

When we enter the values, we obtain:

t = (9.55 - 7.26) / sqrt[(5.88^2 / 100) + (6.94^2 / 100)] = 5.01

The data are consistent with the researchers' hypothesis that night owls are more capable of remembering their dreams than early birds.

B) We can use the following formula to determine the confidence interval:

CI is equal to (xN - xE) t/2 * sqrt[(sN / nN) + (sE / nE)].

where t/2 is the t-value for the required level of confidence and degrees of freedom, and xN, xE, sN, sE, nN, and nE are the same as previously (198 in this case).

With a t-value of 1.75 and a 92% confidence level (from a t-distribution with 198 degrees of freedom), we get:

CI is equal to (9.55 - 7.26) 1.75 * sqrt[(5.88 - + 6.94 / 100)] = (1.87, 2.63) (1.87, 2.63)

The genuine difference between night owls and early birds in terms of the average number of dreams recalled per week is therefore between 1.87 and 2.63, with a 92% confidence interval.

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Answer:

Angle C is the opposite angle of AB

Side AB is opposite to angle ∠ACB in triangle ABC

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

In the given rectangle, AC is the diagonal

ABC and ADC are two right triangles.

We have to find the angle which is opposite to the side AB.

The angle opposite to side AB is angle C.

In the option we have angle ∠ACB.

Hence, Side AB is opposite to angle ∠ACB in triangle ABC

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Answer:

20.48 is the radius of sphere

Step-by-step explanation:

V=(4 /3)πr3

Using the formula

r=(3V /4π)⅓

Solving for "r"

r=(3V 4π)⅓=(3·36000 /4·π)⅓≈20.48352

The diagonal of the outside square is 9.9 units and the diagonal of the inside square is 7.1 units

The square is added as an attachment

The diagonal (d) of the outside square can be calculated using the following pythagorean theorem

d = √[2(a + b)²]

So, we have

d = √[2(4 + 3)²]

This gives

d = 9.9 units

Start by calculating c using

c = √a² + b²

The diagonal (d) of the inside square can be calculated using the following pythagorean theorem

d = √[2c²]

This gives

d = c√2

So, we have

d = √[a² + b²] * √2

By substitution, we have

d = √[4² + 3²] * √2

This gives

d = 7.1 units

So, the small diagonal is 7.1 units

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Answer:

If a = 4 units and b = 3 units, the length of the diagonal of the outside square rounded to the nearest tenth is

9.9 units and the length of the diagonal of the inside square rounded to the nearest tenth is 7.1 units.

Step-by-step explanation:

The equation for split times is 4x= 198.608  and the value of x is 49.652

What is the solution to an equation?

In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.

Let x be the split time

all 4 of the split times were the same.

4x= 198.608

=> x= 198.608/4 = 49.652

The equation for split times is 4x= 198.608  and the value of x is 49.652

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The equation of the plane passing through the point (1, 4, -4) with normal vector 〈3, 5, -2〉 can be written as:

3(x - 1) + 5(y - 4) - 2(z + 4) = 0

Expanding and rearranging terms, we get:

3x + 5y - 2z - 23 = 0

To parameterize this plane, we can let:

x = s

y = t

z = (3s + 5t - 23) / 2

Therefore, the parameterization of the plane is:

r (s,t) = <s, t, (3s + 5t - 23) / 2>

By definition, "to parameterize" means "to express in terms of parameters". A mathematical technique known as parameterization involves representing the state of a system, process, or model as a function of a set of independent variables known as parameters.

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Answer:

Step-by-step explanation:

To find the value of h use the formula for finding the slope of a line

That's

\(m = \frac{y2 - y1}{x2 - x1} \)

Where ( x1, y1) and (x2 ,y2) are the points

From the question

slope = - 3

The points are [4,-9] and [-3,h]

Substitute these values into the equation

We have

\( - 3 = \frac{h + 9}{ - 3 - 4} \)

\( - 3 = \frac{h + 9}{ - 7} \)

Cross multiply

That's

- 3(-7) = h + 9

21 = h + 9

h = 21 - 9

We have the final answer as

Hope this helps you

Ms. Wilson is paid $1728.97 every 2 weeks.

To find her annual salary, first, you have to calculate her monthly salary.

Each month has two payments, so you have to multiply her bi-weekly salary by 2:

Her monthly income is $3451.82

To determine her annual income you have to multiply her monthly income by 12

Her annual salary is $41493.84

Homer would have taken approximately 8.11 hours to do the job by himself.

Let h be the time it would take Homer to do the job by himself, and let m be the time it would take Mike to do the job by himself. We know from the problem that:

m = h - 1 (Mike can do the job one hour quicker than Homer)

We also know that they worked together for 4 hours, so they completed 4/h + 4/m of the job. We can set up an equation based on this:

4/h + 4/m = 1 (they completed the entire job)

Substituting m = h - 1, we get:

4/h + 4/(h-1) = 1

Multiplying both sides by h(h-1), we get:

4(h-1) + 4h = h(h-1)

Simplifying:

8h - 4 =

\(h^2 - h\)

Rearranging:

\(h^2 - 9h + 4 = 0\)

Using the quadratic formula, we get:

\(h = (9 ± \sqrt{(9^2 - 414)) / 2} \)

Since we are looking for a positive value of h, we take the positive square root:

h ≈ 8.11

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Step-by-step explanation:

Given that,

The length of a rectangle is  (0.8x - 1.6) units

Width of a rectangle is (1/4x +1 ) units.

It is assumed to find the area of a rectangle.

AREA = l b, l is length and b is width

So,

\(A=(0.8x - 1.6)(\dfrac{x}{4}+1)\\\\A=0.8x\times \dfrac{x}{4}+0.8x-1.6\times \dfrac{x}{4}-1.6\\\\=0.2x^2+0.8x-0.4x-1.6\\\\=(0.2x^2+0.4x-1.6)\ \text{unit}^2\)

Hence, this is the required solution.

Answer:

Step-by-step explanation:

Correct option is A)