A shopkeeper allow 20% discount on the market price of an article and 10% Vat is levied on it. if a customer pay rupees 500 for Vat then find the discount amount.

Answer:

$62.85

Step-by-step explanation:

Given data

ratio=  10: 7: 5

Total ratio= 10+7+5= 22

Lisa= $20

Her proportion of the ratio = 7

Applying the part to all method

Let the total amount shared be x

7/22= 20/x

cross multiply

7x= 22*20

7x= 440

divide both sides by 7

x= 440/7

x= 62.85

Answer: Kim's gym

Step-by-step explanation:

The correct statement for the given relation being a function is -

B: No, because for each output there is not exactly one input.

What is a relation?

In mathematics, a relation describes the connection between two distinct collections of data. If more than two non-empty sets are taken into consideration, the relationship between them will be determined if there is a connection between their components.

To determine if the relation is a function, we need to check if there is exactly one output (y-value) for each input (x-value).

Looking at the mapping diagram, we see that the input value of 1 and -3 has arrows pointing to one output value which is 0.

Similarly, the input value -1 and 3 has arrows pointing to one output value which is 2.

Therefore, there is not exactly one input for the output value of 0 and 2.

Thus, the relation is not a function because for at least one output there is not exactly one input.

Therefore, this relation cannot be considered a function.

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By substituting the equations the evaluated limit is 5c².

To evaluate the given limit, we need to substitute the given expressions into the function f(a) and simplify the expression (f(2 + h) - f(2))/h as h approaches 0.

First, we substitute a = 2 + h into the function f(a):

f(2 + h) = 5(2 + h)c² + 2.

Next, we substitute a = 2 into the function f(a):

f(2) = 5(2)c² + 2.

Now, we can evaluate the expression (f(2 + h) - f(2))/h:

(f(2 + h) - f(2))/h = [(5(2 + h)c² + 2) - (5(2)c² + 2)]/h.

Simplifying further:

= [(10 + 5hc² + 2) - (10c² + 2)]/h

= [5hc²]/h

= 5c².

As h approaches 0, the expression (f(2 + h) - f(2))/h simplifies to 5c².

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Answer:

  937,381

Step-by-step explanation:

The problem statement explains the exponential formula for the population. It is written in terms of doubling time. You are told what the variables are, and you are given their values. All you need to do is substitute them into the formula and do the arithmetic.

__

  \(P_0=93000\\t=10\\d=3\\\\P_t=93\;\!000(2^{\frac{10}{3}})\approx93\;\!000\times10.7093684\\\\P_t\approx937\:\!381\)

The population of the culture after 10 hours is 937,381.

Answer:

\( {(x - 3) + (y - 5)}^{2} = 64\)

The center is (3, 5), and the radius is 8.

Answer:

0

Step-by-step explanation:

0

Number planes contain points J, K and N is 0. Therefore, option A is the correct answer.

A plane in geometry is a level surface that never ends. Other names for it include a two-dimensional surface. A plane has an unlimited width, an endless length, zero thickness, and no curvature.

Given that, X and Y are planes.

In the given figure, point J lies outside the X and Y planes.

Points K and N are lies on plane X.

So, J, K and N are not lying in the same plane.

Therefore, option A is the correct answer.

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The total cashback you will get back is\($ 49.75}\)

The Given, original price \($=\$ 50$\) Sales fax\($=9.5 \%$\\\)

For first sale

                 \(\begin{aligned}\text { Price of item } & =\$ 50 \\\text { sales tax } & =+\$ 4.75 \\10 \% \text { discount } & =\frac{-\$ 5}{\$ 49.75}\end{aligned}\)

A sale is a transaction between two or more parties that involves the exchange of tangible or intangible goods, services, or assets for money. In some cases, assets other than cash are paid to a seller.

In the financial markets, a sale can also refer to an agreement that a buyer and seller make regarding a financial security, its price, and specific arrangements for its delivery.

Regardless of the context, a sale is essentially a contract between a seller of a particular good or service and a buyer who is willing to pay for that good or service.

for second Sale:-

There is no tax

So price\($=\$ 50$\)

For third sale: - Buy 3 and get 1 half of

\(\begin{aligned}\text { Price }=50 \times 3 & =\$ 150 \\\text { Sales tax }= & +\$ 14.25 \\\text { Discount } & =\frac{-\$ 25}{\$ 139.25}\end{aligned}\)

So, price of 1 piece \($=\$ 46.42$\)

for fourth Sale; - Buy anything over \(\$40\) and get \($\$ 5$\) gift card.

\(& \text { Price }=\$ 50 \\& \text { sales tax }=+\$ 4.75 \\& \text { Gift card }=\frac{-\$ 5}{\$ 49.75}\end{aligned}\)

Therefore, the cashback you will get back is \($ 49.75}\)

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Answer:

A) 30°

Step-by-step explanation:

All triangles angles add always to 180°, so we have two already 75° + 75° = 150° thus the angle is 30°

Answer:

m Is 30

Step-by-step explanation:

m is 30

because....the sum of angles in a triangle is 180

75+75+m =180

150+m=180

make m the subject of the formula

m=180-150

m=30

Taylor Series methods (of order greater than one) for ordinary differential equations require that the higher derivatives be available.

An autonomous ordinary differential equation is one in which the derivative depends only on x.

Taylor series method is a numerical technique used to solve ordinary differential equations. Higher order Taylor series methods require the availability of higher derivatives of the solution.

For example, a second order Taylor series method requires the first and second derivatives, while a third order method requires the first, second, and third derivatives. These higher derivatives are used to construct a polynomial approximation of the solution.

An autonomous ordinary differential equation is one in which the derivative only depends on the independent variable x, and not on the dependent variable y and the independent variable t separately.

This means that the equation has the form dy/dx = f(y), where f is some function of y only. This type of equation is also known as a time-independent or stationary equation, because the solution does not change with time.

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Answer:

switched signs around

Step-by-step explanation:

I believe that s/he switched the signs around so

|x|>5 is solved by x<-5 and x>5

but I'm not quite sure, sorry

The correlation coefficient of 0.17 suggests that the two variables are weakly correlated, and x does not cause y. Option D is the correct answer.

A correlation coefficient is a statistical measure that shows the strength and direction of a relationship between two variables. The coefficient ranges from -1 to 1, where 1 indicates a perfect positive correlation, -1 indicates a perfect negative correlation, and 0 indicates no correlation. A correlation coefficient of 0.17 suggests a weak positive correlation between the two variables, which means that as one variable increases, the other variable also tends to increase, but the relationship is not strong. It is also important to note that correlation does not imply causation, meaning that just because two variables are correlated does not necessarily mean that one causes the other.

Therefore, option D is the correct answer.

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Answer:

The second one is the best answer to your question

Answer:

B is the correct answer

Step-by-step explanation:

Answer: Below is the first one

Step-by-step explanation: Second one is right here x=1/5+y/5

Answer:

okay and.....?

Step-by-step explanation:

is theyre not to the ? or sum

The correct factor is (x - 2) and (x + 1).

It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.

Given

x² - x - 2 = 0 is a quadratic equation.

The factor of the given equation.

x² - x - 2 = 0 is a quadratic equation.

According to factorization,

            x² - x - 2 = 0

    x² - 2x + x - 2 = 0

x(x - 2) +1 (x - 2) = 0

  ( x - 2 ) ( x + 1 ) = 0

Thus the correct factor is (x - 2) and (x + 1).

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Answer:

50,076 square inches

Step-by-step explanation:

Drawing a 10 from the bag      unlikely

Rolling a number less than 5   Likely

Drawing a red marble             equally likely and unlikely

Here is the completed frequency table:

Number       frequency

1                       9

2                    12

3                    10

4                    8

5                    5

6                     6

Hiro's prediction is likely.

Probability determines the odds that a random event would happen. If the probability value is 0.5, it is equally likely and unlikely that the event would happen. If it is less than 0.5, it is unlikely that the event would happen. If it is greater than 0.5, it is likely that the event would happen.

Probability of drawing a 10 = number of 10s in the bag / total number in the bag = 1/100 = 0.01

It is unlikely that you would draw a 10.

Probability of rolling a number less than 5 = numbers that are less than 5 / total number of sides =  4/6 = 0.67

It is likely that a number less than 5 would be rolled.

Probability of drawing a red marble = total number of red marbles / total number of marbles = 8 / 16 = 0.5

It is equally likely and unlikely that a red marble would be picked

In order to determine the frequency, if the denominator of the relative frequency of the number is equal to 50, then the numerator is equal to the frequency. In the case where the denominator is less than 50, divide 50 by the number, multiply the quotient by the numerator in order to determine the frequency.

The frequency of 2 = (50 / 25) x 6 = 12

Number       frequency

1                       9

2                    (6 x 2) 12

3                    (1 x 10) 10

4                    (4 x 2) = 8

5                    (1 x 5) 5

6                     (3 x 2) 6

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9514 1404 393

Answer:

  (a) after 5 minutes: tower 1 -- 1550 gallons; tower 2 -- 670 gallons

  (b) 1650-20m = 570+20m; m = 27 . . . minutes

Step-by-step explanation:

(a) At the rate of 20 gallons per minute, in 5 minutes the amount of water transferred will be ...

  (20 gal/min)(5 min) = 100 gal

That is, Tower 1 will have 100 gallons less: 1650 -100 = 1550 gallons

and Tower 2 will have 100 gallons more: 570 +100 = 670 gallons.

__

(b) The quantity in tower 1 is ...

  t1 = 1650 -20m

and the quantity in tower 2 is ...

  t2 = 570 +20m

These will be equal when ...

  t1 = t2

  1650 -20m = 570 +20m . . . . . equation for finding m

  1080 = 40m . . . . . . . add 20m-570

  27 = m . . . . . . . divide by 40

Answer:

A. 8

Step-by-step explanation:

Answer:

A/8

Step-by-step explanation:

Since you need to get x by itself you have to subtract the one on both sides. Then the equation is x/2=4 Since x is being divided by the 2 you have to multiply by two on both sides. That  leaves you with x=8

The three conditions for a function to be continuous at a point x=a are:

a) The function is defined at x=a.

b) The limit of the function as x approaches a exists.

c) The limit of the function as x approaches a is equal to the value of the function at x=a.

The continuity of a function can be analyzed by observing its graph. However, as the graph is not provided, a specific discussion about its continuity cannot be made without further information. It is necessary to examine the behavior of the function around the point in question and determine if the three conditions for continuity are satisfied.

The function f(x) = { *** is not defined in the question. In order to discuss its continuity, the function needs to be provided or described. Without the specific form of the function, it is impossible to analyze its continuity. Different functions can exhibit different behaviors with respect to continuity, so additional information is required to determine whether or not the function is continuous at a particular point or interval.

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You did not post enough information.

The expected value of the number of games played is 5.5 games, and the variance is 1.25.

To find the expected value of the number of games played, we need to consider all the possible ways the match can end. Since the match is a best of 7, one team needs to win at least 4 games. The possible outcomes are:

Team A wins in 4 games: AAAA

Team A wins in 5 games: AABAA or ABAAA

Team A wins in 6 games: ABAABA, ABABAA, or ABBAAA

Team A wins in 7 games: ABABABA, ABABAB, ABBABAA, or ABBABAAA

Similarly, we can list the possible outcomes for Team B winning in 4, 5, 6, or 7 games. However, since both teams are equally likely to win each game, the probability of each outcome is the same. Therefore, the expected value of the number of games played is:

E(X) = (41/8) + (52/8) + (63/8) + (72/8) = 5.5 games

To find the variance, we need to first calculate the squared deviation from the expected value for each outcome. For example, for the outcome AABAA, the deviation is (5-5.5) = -0.5, and the squared deviation is (-0.5)^2 = 0.25. We can then multiply each squared deviation by the probability of that outcome and sum them up,

Var(X) = (1/8)(4-5.5)^2 + (2/8)(5-5.5)^2 + (3/8)(6-5.5)^2 + (2/8)(7-5.5)^2

= 1.25

Therefore, the expected value of the number of games played is 5.5 games, and the variance is 1.25.

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Answer:

The measure of the obtuse angle marked UVW is 108

Step-by-step explanation:

Here, we want to get the measure of the angle marked UVW

To get this, we refer to the given diagram

From the diagram;

UVW = UVX + XVW

UVW = 68 + 40

UVW = 108 degrees

for a chis-square goodness of fit test, if the number of categories is 6 and the test statistics is 8.4345, p value will be pchisq(8.4345,5)

To test a hypothesis' validity against actual data, a statistical calculation called a p-value is used. The probability of experiencing the results that were observed is calculated using a p-value, assuming that the null hypothesis is true. The p-value can be calculated by looking up the 8.4345 value in the Chi-Square distribution table with 5 degrees of freedom (6-1=5). The resulting p-value will depend on the significance level you choose.

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Answer:

Step-by-step explanation:

let l be the length of the rectangle

let w be the width of the rectangle

The statement

The length of a rectangle is 6 feet more than three times the width of the

rectangle is written as

l = 6 + 3w

From the question

l = 24 feet

Substitute the value into the above formula and solve for the width

That's

24 = 6 + 3w

3w = 24 - 6

3w = 18

Divide both sides by 3

w = 6

Therefore

Hope this helps you

Answer: f(0)= 4

Step-by-step explanation:

First you need to plug 0 in for x

f (x)=-x+4 -> f(0)= -(0)+4

next solve:

f(0)= -(0)+4

0*-1 = 0

f(0)= 4

The correct answer is  f(0)= 4.

Hope this helps!

The number of cups of sugar that you will need to make lemonade would be = 2 cups of sugar.

A recipe is defined as the list of condiments that are used for the preparation of a food and it's guidelines.

In the recipe to make lemonade,

6 cups of water = 1/2 cup of sugar

24 cups of water = X cup of sugar.

Make X the subject of formula;

X cup of sugar = 24 × 1/2 ÷ 6

= 12/6 = 2 cups of sugar.

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