what is 21 divided by 700 can you help me plizz XD

Answer:

\(

3 : 2 \\

£600 : £400\)

Step-by-step explanation:

Total shares = 3+2 = 5

\( \frac{1000}{5} = 200\)

Since x > 0, the tangent of f'(x) is always positive, and the denominator is always positive. Therefore, f'(x) is always positive, which means that f(x) is always increasing and can only cross the x-axis once. Hence, f(x) has only one root on its entire domain.

To find the y-intercept of line L, we need to determine the equation of line L.

Since line L is tangent to the graph of y = ex at the point (k, ek), the slope of line L must be equal to the slope of the tangent line to y = ex at (k, ek), which is simply ek.

Therefore, the equation of line L is:

y - ek = ek(x - k)

Simplifying, we get:

y = ekx - ek2

To find the y-intercept, we set x = 0 and solve for y:

y = ek(0) - ek2 = -ek2

Therefore, the y-intercept of line L is -ek2.

We need to find the value of k such that the y-intercept of line L is 1/2.

-ek2 = 1/2

Solving for k, we get:

k = ln(sqrt(2))

So the answer is (A) 0.405.

To prove that the function has only one root on its entire domain, we take the derivative of f(x) and show that it is always positive.

f(x) = ln(x) - 1/x

f'(x) = 1/x + 1/x^2 = (x+1)/x^2

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Answer:324234

Step-by-step explanation:

Answer:

The mean of the data set is 7.

2 + 9 + 10 + 6 + 8

= 35

35 ÷ 5

= 7

Step-by-step explanation:

You're welcome

Using Sphere geometry formulas , 2.45 ft/min is increasing rate of spherical ballon when the diameter is 1.5 feet.

Sphere is a three dimensional form of circle .

let V and D be volume and diameter of the sphere. we have given that ,

Volume increasing rate of spherical ballon (dV/dt)

= 3.7 ft³/min

diameter of sphere at time of increasing = 1.5 feet

the increasing rate of spherical ballon is dD/dt.

Now, Volume of sphere (V) = 4/3π³ ft³

or we know that D = r/2 so,

V = 4/3 π (D)³×8 ft³

differentating both sides we get ,

dV/dt = 32/8π 3D³dD/dt

=> 3.7 = 32/3 (3.14)(1.5)²dD/dt

=> dD/dt= 2.45 feet/min

Hence, 2.45 ft/min is the rate of the diameter of the balloon increasing when the diameter is 1.5 feet.

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I think you mean in terms of \(\sin(x)\)?

Recall Euler's identity

\(e^{ix} = \cos(x) + i \sin(x)\)

and de Moivre's theorem

\(\left(e^{ix}\right)^n = \left(\cos(x) + i \sin(x)\right)^n = \cos(nx) + i \sin(nx) = e^{inx}\)

where \(i=\sqrt{-1}\).

It follows that

\(\sin(4x) = \mathrm{Im}\left(\cos(x) + i \sin(x)\right)^4\)

By the binomial theorem, expanding the right side gives

\(\cos^4(x) + 4i \cos^3(x) \sin(x) - 6\cos^2(x) \sin^2(x) - 4i \cos(x) \sin^3(x) + \sin^4(x)\)

and so

\(\sin(4x) = 4\cos^3(x) \sin(x) - 4 \cos(x) \sin^3(x)\)

We can factorize this as

\(\sin(4x) = 4 \cos(x) \sin(x) \left(\cos^2(x) - \sin^2(x)\right)\)

and using the Pythagorean identity

\(\cos^2(x)+\sin^2(x) = 1 \implies \cos(x) = \pm \sqrt{1-\sin^2(x)}\)

this reduces to

\(\sin(4x) = \pm 4 \sqrt{1-\sin^2(x)} \sin(x) (1 - 2 \sin^2(x))\)

According to the online poll, 89% of the 200 respondents "love" David's podcast.

David conducted an online poll to gauge the level of appreciation his listeners have for his show. Out of the 200 respondents who participated in the poll, an impressive 89% expressed their love for the podcast. This indicates a high level of satisfaction and support from the audience. Gathering feedback through polls can provide valuable insights for content creators like David, helping them understand their audience's preferences and make informed decisions about their podcast. By engaging his listeners and actively seeking their feedback, David can continue to improve and cater to their interests, ultimately enhancing their overall experience with the show.

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The probability of selecting two jacks from a standard deck of cards without replacement is 1/221, or 0.0045.

The probability of selecting two jacks from a standard deck of cards without replacement is 1/221, or 0.0045. This is because there are 52 cards in a standard deck, and there are 4 jacks. Therefore, the probability of selecting one jack is 4/52, or 1/13. When selecting without replacement, the probability of selecting the second jack is 3/51, since one of the jacks has already been chosen. Multiplying the two probabilities together gives us the probability of selecting two jacks without replacement: 4/52 x 3/51 = 12/2652 = 1/221. This means that the probability of selecting two jacks from a standard deck of cards without replacement is 1/221, or 0.0045. This is a very low probability, which means that it is unlikely that two jacks will be chosen in a single selection.

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The probability that a user who logs on every day is from inside the country is 36.36%.

(a) To find the percent of all users who log on every day, we need to calculate the weighted average of the percentage of users who log on every day from outside the country and inside the country. Let's call this percentage "x".

x = 0.7 * 0.6 + 0.3 * 0.8
x = 0.42 + 0.24
x = 0.66

Therefore, 66% of all users log on every day.

(b) Bayes' Theorem states that the probability of an event A happening given that event B has occurred is equal to the probability of B given A multiplied by the probability of A, divided by the probability of B.

Let's define event A as a user being from inside the country and event B as a user logging on every day. We want to find the probability of A given B.

P(A|B) = P(B|A) * P(A) / P(B)

We already know P(B|A) = 0.8 (the probability of a user logging on every day given that they are from inside the country). We also know P(A) = 0.3 (the probability of a user being from inside the country). We just calculated P(B) in part (a) as 0.66.

P(A|B) = 0.8 * 0.3 / 0.66
P(A|B) = 0.3636

Therefore, the probability that a user who logs on every day is from inside the country is 36.36%.

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The z-score of an appliance that failed after 64 months is 2.

To find the z-score:

The given parameters are:

The z-score is then computed as follows:

We have the following for an appliance that stopped working after 64 months:

So, the equation becomes:

Compare and contrast the differences:

Calculate the quotient:

Therefore, the z-score of an appliance that failed after 64 months is 2.

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Answer: x =1

Distribute

add 24 to each side

simplify

divide both sides by the same term

simplify

Answer:

Step-by-step explanation:

Domain is the independent variable (x)

Range is the dependent variable (y)

For each of these you would just put what x and y are equal to

For the Domain you would put:

0<=x<=3

<= is less than or equal to

For the Range you would put

1<=y<=4

The line is a function

Answer:  " x = 10 " .

Step-by-step explanation:

Note the top "line segment" ; and the bottom "line"; have equal measurements:

The length of the top line segment is:

" (2x − 8) + 5 ."

The length of the bottom line is:  " (x + 7) " ;

__________

To solve for "x" ;

___________

(2x − 8) + 5 = (x + 7) ;

Rewrite as:

2x − 8 + 5 = x + 7 ;

Note: −8 + 5 = -3 ;

_______________

Rewrite the equation as:

 2x − 3 = x + 7 ;

We can subtract "x" from each side of the equation;

and add "3" to each side of the equation:

 2x − 3 − x + 3 = x + 7 − x + 3 ;

_______________

to get:

_______________

 x = 10 .

_______________

Let us check our answer

(2x − 8) + 5 =? (x + 7) ;

________

(2*10 − 8)  + 5 =? (10 + 7) ? ;

(20 − 8)  + 5 =? 17 ?

  12 + 5 =? 17 ?  Yes!

_______________

Best wishes in your academic pursuits!

_______________

As per the fraction, the lowest score in the examination is 44.

Let's consider the given information. We are told that the highest score and the lowest score in an examination differ by 55 marks. We can represent the highest score as x and the lowest score as y. Therefore, we have:

x - y = 55 ----- equation 1

We are also given that the higher score, which is x, is 9/4 times the lower score, which is y. This can be represented as:

x = (9/4)y

We can use this equation to substitute x in equation 1 and solve for y.

Substituting x in equation 1, we get:

(9/4)y - y = 55

Simplifying the above equation, we get:

(5/4)y = 55

Multiplying both sides by 4/5, we get:

y = 44

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Complete Question:

In an examination, the highest score and the lowest score are different by 55 and the higher one was 9/4 times the lower one. Find the lowest score.

The employee engagement score for a team was 4.80 this month. The score has been improving at a rate of 10% per month. To calculate what was the score 5 months ago, we can use the formula:

P = A / (1 + r) ⁿ

where P is the present value, A is the future value, r is the interest rate per period, and n is the number of periods.

For this problem, the present value is 4.80, the interest rate per period is 10%, and we need to find out the future value which is the score 5 months ago.

Therefore, we can plug in these values into the formula:

\(P = A / (1 + r)ⁿ4.80

= A / (1 + 0.10)⁵4.80

= A / 1.61051A

= 4.80 x 1.61051A\)

= 7.733

Therefore, the employee engagement score for the team 5 months ago was 7.733. This shows that the score has been improving over the months and that the team has made significant progress in their engagement levels. The team can use this information to continue improving and setting goals for their future engagement scores.

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The value of x is 51°.

Supplementary angles are the angles whose sum is 180° and together form a straight line.

Here given two lines are intersecting each other at one point.

Let the line is AB and CD and the intersecting point be O.

given that ∠AOC = x+23°

∠AOD= 2x+4°

As angles ∠AOC and ∠AOD are adjacent and together form the straight line CD.

So, ∠AOC and ∠AOD are supplementary angles.

∠AOC + ∠AOD= 180°

putting the values of ∠AOC and ∠AOD in the above equation

⇒ x+23° + 2x+4°= 180°

⇒ 3x+27°= 180°

Separating constant term and variable term on both sides

⇒ 3x= 180°-27°

⇒ 3x= 153°

dividing the coefficient of the variable on both sides to make the coefficient of variable 1

⇒x= 153°/3

⇒ x=51°

Therefore the value of x is 51°.

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Answer:

3:6

Step-by-step explanation:

8 ÷ 4 = 2

2 ÷ 1 = 2

6 ÷  3 = 2

Answer:

1. 2:8

2. 1:4

3. 3:12

Step-by-step explanation:

There are 2 parts of oil for every one part of vinegar.

2+1=3

The ratio is made up of 3 total parts.

The part to whole ratio of oil to total is 2:1.

We are looking for an equivalent ratio that has 8 spoonfuls of oil.

If we have 4 times as much oil, we also need 4 times as much vinegar.

Also, we will have 4 times as much total dressing.

2x4=8

1x4=4

3x4=12

The toy cars Anna must sell for her revenue to equal her expense is 4 toy cars. The result is obtained by using the concept of calculating algebra.

To calculate the algebra with one variable, sum up all the same variable and count the value.

Anna want to sell toy car at a craft fair. Each car is sold at a price of $ 12. The material for each car cost $ 3.50 and the table rental at the fair is 34 dollar for the day.

Find the toy cars must Anna sell for her revenue to equal her expense!

We have

Let's say

Revenue = Expense

a × $12 = (a × $3.5) + $34

12a = 3.5a + 34

12a - 3.5a = 34

8.5a = 34

a = 4 toy cars

Hence, Anna must sell 4 toy cars so that her revenue is equal to expense.

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Answer:

1/4

Step-by-step explanation:

there are 2 multiples of 3, 3 and 6

2/8=1/4

Answer: 1/4 chance (second option on the screen)

Step-by-step explanation:

dw probability is confusing to a lot of ppl

so if you count the sections theres 8 in all

to see the probability we must find how many times we will get a positive outcome, or what we want (the multiple of 3)

lets see how many multiples of 3 there are

theres 3 and 6

thats  two out of the eight possible outcomes at any moment u spin the spinner

so thats an 2/8 chance

you can simplify that fraction to a 1/4 chance, so its the second option on your screen

The total number of fourth-grade students in the school is 144

From the question, we have the following parameters that can be used in our computation:

This means that

Fourth-grade students = 6 * Ms. Smyth's fourth-grade class.

Substitute the known values in the above equation, so, we have the following representation

Fourth-grade students = 6 * 24

Evaluate

Fourth-grade students = 144

Hence, the total number of students is 144

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Answer:

Sam has is 7/5 times the reciprocal of the total number of stamps in the new set.

Step-by-step explanation:

Let's start by finding out what fraction of the new set of stamps Sam has after adding 4/5 of the set to his collection.

Let the total number of stamps in the new set be x.

If Sam's collection initially had 3/5 of the new set, then the number of stamps in his collection before adding the new set would be:

3/5 * x = the number of stamps in Sam's collection before adding the new set

After adding 4/5 of the new set to his collection, Sam has:

3/5 * x + 4/5 * x = 7/5 * x

So Sam has 7/5 of the new set of stamps.

However, the problem asks for the fraction of the new set that Sam has, not the fraction of the total number of stamps in the new set.

To find the fraction of the new set that Sam has, we need to divide the number of stamps he has by the total number of stamps in the new set:

(7/5 * x) / x

Simplifying the expression:

(7/5) / 1

We can express this fraction in terms of x by multiplying both the numerator and denominator by 1/x:

(7/5) * (1/x)

Therefore, the fraction of the new set of stamps that Sam has is 7/5 times the reciprocal of the total number of stamps in the new set.

Decision Support Systems (DSS) draw information from a variety of sources, including internal data generated within the organization and external data obtained from outside sources. Internal data encompasses data such as sales figures, financial statements, and customer records, providing an organization-specific view. External data includes market research reports, industry benchmarks, and government data, offering a broader context and insights into market trends and customer preferences. DSS can also utilize external databases and sources, such as data aggregators and public repositories, to access specialized data sets. By combining internal and external data sources, DSS can provide comprehensive decision support, enabling organizations to make informed choices based on a wide range of information.

Decision Support Systems (DSS) rely on a wide range of data sources to provide valuable information for decision-making processes. These sources can be categorized into internal and external data, each offering unique perspectives and insights.

Internal data refers to information generated and stored within an organization. This data can include sales figures, financial statements, customer records, inventory levels, and employee performance data. Internal data provides an organization-specific view and can be readily accessible for analysis within the DSS.

External data, on the other hand, encompasses information obtained from sources outside the organization. It can include market research reports, industry benchmarks, economic indicators, government data, social media feeds, and customer feedback. External data offers a broader context and helps organizations gain insights into market trends, competitor analysis, customer preferences, and regulatory changes.

Furthermore, DSS can also tap into various external databases, such as data aggregators, research institutions, and public repositories. These sources provide specialized data sets related to specific industries, demographics, geographies, or subjects of interest. By integrating these external sources, DSS can enhance its analytical capabilities and provide comprehensive decision support.

In conclusion, the information used in a Decision Support System can be obtained from both internal and external sources. By leveraging internal data and tapping into external databases and sources, DSS can provide a holistic and informed perspective for decision-making processes.

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If the ratio of yes (Y) to no (N) votes is 8 to 5 then that means:

If there were 7320 yes votes then we have Y=7320:

Then the no votes are:

Then the total number of votes is given by:

Then the answer is 11895.

To find the probability that Bo, Colleen, Jeff, and Rohini win the first, second, third, and fourth prizes, respectively, in a drawing with 50 people, follow these steps:

1. Since winning more than one prize is allowed, the probability of Bo winning the first prize is 1/50.

2. Likewise, the probability of Colleen winning the second prize is also 1/50.

3. Similarly, the probability of Jeff winning the third prize is 1/50.

4. Finally, the probability of Rohini winning the fourth prize is 1/50.

5. Since these events are independent, we can multiply the probabilities together to find the overall probability of this specific  :

  Probability = (1/50) * (1/50) * (1/50) * (1/50)

6. Calculate the result:

  Probability ≈ 0.00000016

7. Round the answer to two decimal places:

  Probability ≈ 0.00

So, the probability that Bo, Colleen, Jeff, and Rohini win the first, second, third, and fourth prizes, respectively, in a drawing with 50 people is approximately 0.00.

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Answer:

y=7x-6

Step-by-step explanation:

You would first pick two coordinates in this case would be ( 0, -6), (1,1). You would find your slope by using the formula y2-y1/x2-x1. Which would give you a slope of 7/1 which is equal to 7. Then you would use point slope formula which is y-y1=m(x-x1). would would plug in the numbers and it would say

y-(-6)=7(x-0). Then you would simplify the y-(-6) which would be y+6 then you would distribute the 7. Your whole equation would look like y+6=7x+0. Then you would use inverse operations and subtract -6 from the left side of the equals and subtract it from 0 giving you -6. Therefore your whole equation would be y=7x-6. Hoped this helped.

Answer:

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(a) The number of pathways in the plane from point (0, 0) to point (110, 111) when each step consists of walking one unit up or one unit to the right is known as the number of ways to go to a point in a grid using just right and up moves.

This is a classic combinatorial problem known as a binomial coefficient. The binomial coefficient C(110+111, 110) = C(221, 110) = 221!/(110!111!) is the number of ways to travel from (0, 0) to (110, 111).

(b) The number of paths from (0, 0) to (210, 111) where each step consists of walking one unit up or one unit to the right and the path must pass through (110, 111) is the product of two binomial coefficients.

First, as calculated in section 1, the number of pathways from (0, 0) to (110, 111) is C(110+111, 110) = C(221, 110). Second, there are C(210+211, 210) ways to get from (110, 111) to (210, 111). (210, 211). (421, 210). C(221, 110) * C is the total number of paths found by multiplying these two binomial coefficients (421, 210).

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The running club needs to sell (n - 15) sweatshirts at a price of $10 + $900/(n - 15) per sweatshirt to regain their $900 investment.

What is profit?

Profit is the money that a business or individual earns after taking away all the costs involved in producing or providing a product or service. It is the extra amount of money that is left over once all the bills and expenses have been paid.

A positive profit means that the business has earned more money than it has spent, while a negative profit means that it has lost money. Profit is important for businesses because it helps them stay financially stable and grow, and it is also important for individuals who want to earn a living from their work.

The running club bought a case of sweatshirts for $900, which means the cost per sweatshirt was $900 divided by the number of sweatshirts in the case. Let's assume there were "n" sweatshirts in the case.

Cost per sweatshirt = $900/n

The club needs to sell all but 15 of the sweatshirts at a profit of $10 per sweatshirt to regain the $900 investment. Let's assume they sell "x" sweatshirts at the desired price.

Revenue from selling x sweatshirts = x * ($10 + cost per sweatshirt)

The revenue must be equal to the cost of the investment, which is $900.

x * ($10 + $900/n) = $900

Simplifying the equation:

10x + 9000/n * x = 900

Multiplying both sides by n:

10nx + 9000x = 900n

Simplifying:

10nx = 900n - 9000x

Dividing both sides by 10:

nx = 90n - 900x/10

nx + 900x/10 = 90n

Simplifying:

x(n + 90) = 900

x = 900 / (n + 90)

Since the club needs to sell all but 15 of the sweatshirts, the number of sweatshirts they need to sell is:

n - 15

Therefore, the number of sweatshirts they need to sell, "x", is:

x = 900 / (n + 90)

And the price they need to sell each sweatshirt at is:

($10 + cost per sweatshirt)

= ($10 + $900/n)

Substituting the value of "x" from the previous equation, we get:

Price per sweatshirt = $10 + $900 / (n - 15)

So, to recap, the running club needs to sell (n - 15) sweatshirts at a price of $10 + $900/(n - 15) per sweatshirt to regain their $900 investment.

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Answer:

pretty sure its 235 cm^2

Step-by-step explanation:

The required value of x is 125° for the given pentagon.

The external angle of a pentagon is formed by extending one of its sides, and it is supplementary to the adjacent interior angle of the pentagon.

According to the given figure,

We have been given that a pentagon, which has five sides is shown.

As we know that the sum of the external angles of any polygon is always 360 degrees.

So, x° + 40° + 65° + 60° + 70° = 360°

x° + 235° = 360°

x° = 360° - 235°

Apply the subtraction operation, and we get

x = 125°

Therefore, the required value of x is 125°.

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The correct statements are:

1) Leena consumed 1,500 calories at dinner.

2) The equation  2/3(x + 400 + 350) = x

In this question we have been given Leena consumes 400 calories at breakfast and 350 calories at lunch. she consumes 2/3 of her daily calories at dinner.

We need to select a statement that describes the situation  if x represents the calories consumed at dinner.

Let x be the calories consumed at dinner.

Leena consumes 400 calories at breakfast and 350 calories at lunch.

So, the daily calories consumed by her:

400 + 350 + x

Given that she consumes 2/3 of her daily calories at dinner.

From given conditions we get an equation,

x = 2/3(x + 400 + 350)

3x = 2(x + 750)                          ............(multiply both sides by 3)

3x = 2x + 1500                

3x - 2x = 2x + 1500 - 2x            ...............(subtract 2x from both sides)

x = 1500 calories

Therefore, Leena consumed 1500 calories at dinner.

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