A person bought a water tank of circular base having the radius 1.05 meter and height 3.5 m for the use of own house from the shop. If the upper part of the tank is semi spherical , how many liters of water will be contained in the tank. Find it!

Help!! :)​

Answer:

x = 9

Step-by-step explanation:

18 + x = 27

x = 27 - 18

x = 9

Answer:

21

Step-by-step explanation:

24.50 / 3 = 49/6

Answer:

About 21.02

Step-by-step explanation:

divide 24.50 by 3 to find out what 1 poster costs

divide that from 171.50 to get 21.0171568627

figure out that basically nobody will accept anything smaller than a penny

round to the nearest hundredth

get 21.02

maybe I'm wrong

The Mathematical Answer of 2 +2 + is 4.

In math, addition is the process of adding two or more integers together. The numbers being added are known as addends, while the outcome of the addition process, or the final response, is known as the sum. It is one of the fundamental mathematical operations we employ on a daily basis.

Given:

we have to add 2 + 2.

So, adding is simply counting the number collectively

2 + 2 can be break as

= 1+ 1 + 1 +1

If we count we have 4 one then the addition of 2+ 2 is 4.

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2 is the frequency for the number of days in which he receives between 5 and 7 text messages.

Frequency tables or charts are used to show frequency distributions. The actual number of observations falling within each range or the percentage of observations can be shown by frequency distributions. The distribution is referred to as a relative frequency distribution in the latter circumstance.

The study of data collection, organization, analysis, interpretation, and presentation is known as statistics. It is common practice to begin with a statistical population or a statistical model that will be studied when applying statistics to a scientific, industrial, or social issue.

"All people living in a country" or "every atom composing a crystal" are examples of populations, which can be any number of different groups of people or things. The study of data encompasses all aspects, including the preparation of surveys and experiments for data collection.

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Answer:

D

Step-by-step explanation:

I cannot assure you this, because it is extremely hard for me too. It is my best guess.

Plz mark as brainliest!!!

Answer: $2

We have to find 10% of 20 for this question.

10% of 20 is equal to $2.

So, the answer to the question is $2.

Jacquie spends $2 less every month when her friend joins.

Answer:[10] Using the formula (n - 2)180/n for the vertex angle of a regular n-gon, we find that the vertex angle for a regular hexagon is 120 degrees and for a regular octagon it is 135 degrees.

Step-by-step explanation:

The probability that the company's major product is assembled with a defective part is: 0.65%

Risk arises when the probability distribution of possible outcomes is known. That is, the probability of each situation is already known.

In this case, you can assess the risks. On the other hand, the probability distribution of future natural states is unknown and must be determined subjectively. In this case, the probability is unknown, so it turns out to be uncertain.  

The probability that a randomly selected part is defective shall be computed as follows:

Probability = reject rate of A(weight) + reject rate of B(weight) + reject rate of C(weight)

Probability = 0.25%(60%) + 1%(30%) + 2%(10%)

Probability = 0.15% + 0.3% + 0.2%

Probability = 0.65%

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Answer:

500

Step-by-step explanation:

375/3=125

125*4=500

The phase constant for the harmonic oscillator with the velocity function v(t), if the position function has the form x(t) = x_m cos(ωt + φ)  is: -0.927 rad

We are told that the vertical scale is set as: v_s = 4.0 cm/s

Using the formula of velocity, we can find the phase constant for the harmonic oscillator from the position function of form,

x(t) = x_m cos(ωt + φ)

The velocity of a body in motion is expressed as:

v = dx/dt  -----(i)

Equation of displacement of the motion:

x(t) = x_m cos(ωt + φ)    -----(ii)

Differentiating equation (ii), we get:

v = -v_m sin (ωt + φ)    -----(iii)

Using the values of t = 0 s, v_m = 5 cm/s, v = 4 cm/s in equation (iii), we get:

4 = -5 sin  (ω(0) + φ)  

φ = sin⁻¹(4/5)

φ = -0.927 rad

Therefore, the phase constant for the harmonic oscillator with the velocity function v(t), if the position function has the form x(t) = x_m cos(ωt + φ)  is -0.927 rad

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Complete question is:

What is the phase constant for the harmonic oscillator with the position function x(t) given in the plot if the position function has the form x = x_m cos(ωt + φ). The vertical axis scale is set as v_s = 4.0 cm/s

To calculate the percent increase you have to proceed as follows:

First step: calculate the difference between the new number and the original number:

Second step: divide the difference by the original number

Third step: multiply the result by 100, to express the result as a percentage

The percentual increase is 12.5%

The technique often used to prove the correctness of a recursive function is **mathematical induction**.

Mathematical induction is a method of proof used to establish that a property holds for all natural numbers (or a well-ordered set). It consists of two steps:

1. **Base Case**: The base case establishes that the property holds for a specific initial value or base case. It typically involves showing that the property is true for the smallest possible input or base case of the recursive function.

2. **Inductive Step**: The inductive step demonstrates that if the property holds for a specific value, it also holds for the next value. This step involves assuming that the property is true for a certain input, and then proving that it holds for the subsequent input using the recursive definition of the function.

By proving that the base case is true and showing that the inductive step holds, mathematical induction establishes the correctness of a recursive function for all valid inputs.

The other options you mentioned, such as commutativity, diagonalization, and matrix multiplication, are not directly related to proving the correctness of recursive functions. Commutativity refers to the order of operations or elements, diagonalization is a technique used in mathematics and logic, and matrix multiplication is a mathematical operation for matrices. While these concepts may have applications in other areas of mathematics and computer science, they are not specifically used for proving the correctness of recursive functions.

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Answer:

First you must identify the inputs and output values and then you must check to see if each input value is paired up with only one output value and if so the table will be represented as a function.

Step-by-step explanation:

Identify the inputs and output values of the graph

Check to see if the values are paired up with one output value

Answer:

c

Step-by-step explanation:

If we throw, a coin in twice, then pay off for throw exactly two heads is $120. The expected win value in the game in 742 trials is equals to the $1669.5.

We have to two tosses a coin and we gift with payouts according to results of tossing. When we throw exactly two heads in two tosses of a coin, then pay out is $120. If not throw two heads then payout is $37… Now, number of times we play the game that is trials = 742

We have to determine value of expected value to win or loss for 742 trials. First we determine the excepted value of proposition. Total possible outcomes on two tosses of a coin = 4 = {HH,TT, HT, TH}

Probability of throwing two heads = 1/4

= 0.25

Probability of not throwing two heads

= 1 - 1/4 = 3/4 = 0.75

That is when x (pay off) = $120, P( x)

= 0.25 ; x (payout) = -$37, P( X) = 0.75. Now, the excepted value formula is written as, \(E( x) = \sum x× P(x) \)

= $120 × 0.25 - $37 ×0.75

= $2.25

So, the expected value of win with 575 trials of gane = 2.25 × 742

= 1669.5

Hence, required excepted win value is $1669.5.

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Answer:

2827.4 cm

Step-by-step explanation:

Volume of cylinder

V= π*r^2*h

H= height and r= radius

H= 9cm and r = diameter ÷ 2

r= 20cm ÷2 = 10cm

V= 22/7* 10^2* 9cm

V= 2829cm^3

Answer:

Liliana has 27 candies from her teacher. But her mother didn't want her to eat too much candy, so she took 11 of Liliana's candies.

Step-by-step explanation:

Hope it help, and please give me Brainlest!

Answer:

Question 11.1

At 7 : 00 pm in Sydney, it will be 10 : 00 pm in Berlin.

Question 11.2

Place | Time

Sydney | 5 : 00 pm

Berlin | 8 : 00 pm

It would be a good time for Mark and Hans to cha,t when it's 5 : 00 pm in Sydney and 8 : 00 pm in Berlin.

hope that helps ...

Central Tendency is the statistical measure that can be used to represent all the distribution or a dataset using a single value. The most common measures of central tendency are the mode, median, and mean.

How to determine this

Mode is the value that has the highest frequency in a given data set.

So,

8.75 the highest frequency in the data set

Mode = 8.75

Median is the middle of a sorted list of numbers when arranged in ascending order.

So,

4.25, 5.75, 6.25, 6.75, 7, 7, 7.5, 8.5, 8.75 in ascending order

Median = 7

Mean is the average or the most common value in a given set of values.

Mean = 8.5 + 7 + 6.75 + 5.75 + 8.75 + 6.25 + 7 + 7.5 + 4.25/9

Mean = 61.75/9

Mean = 6.8611

Mean = 6.86 to 2 decimal place

Range is the difference between the highest value and lowest values.

Range = Maximum value - Minimum value

Range = 8.75 - 4.25

Range = 4.5

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Answer:

my answer is (5±√10)/3

Answer:

5.3

Step-by-step explanation:

Since they are similar triangles, we assume the ratio between AM/AN is equal to the ratio between MB/NC.
AM/AN = 6/8 = 3/4
If MB is 4
3/4 = MB/NC = 4/NC
3/4 = 4/NC

3NC = 16
NC = 16/3
16/3 = 5.333333

Answer:

\(\bold{The~slope~of~line~h~is~-\frac{9}{8}. }\)

Step-by-step explanation:

Hi there!

First, let's calculate the slope of line g.

\(\displaystyle\frac{y2-y1}{x2-x1} \)

\(\displaystyle\frac{9-1}{10-1} \\ \displaystyle\frac{8}{9} \)

So, the slope of line g is \(\displaystyle\frac{8}{9} \)

Now let's identify the slope of line h.

We are given that line h is perpendicular to line g.

Now, perpendicular lines have slopes that are opposite reciprocals.

This means we take a number, flop it over, and change its sign.

The slope of line g is

\(\displaystyle\frac{8}{9} \)

Now, we flop it over:

\(\displaystyle\frac{9}{8} \)

Then, we change its sign:

\(\displaystyle-\frac{9}{8} \)

Thus, \(\displaystyle-\frac{9}{8} \) is our final answer.

Hope it helps! Enjoy your day! (:

\(\bold{GazingAtTheStars}\)

In business calculus, the term "functions" refers to mathematical relationships that associate inputs (typically denoted as x) with corresponding outputs (typically denoted as y). Functions can represent various aspects of business operations, such as revenue, cost, profit, demand, and supply.

The concept of "limits" in calculus deals with the behavior of a function as the input approaches a particular value. It determines the value that the function approaches or tends to as the input gets arbitrarily close to a specified value. Limits are essential for analyzing the behavior of functions near certain points, understanding rates of change, and evaluating derivatives and integrals.

"Continuity" of a function refers to its smooth and unbroken nature, without any abrupt jumps, holes, or vertical asymptotes. A function is continuous if its graph can be drawn without lifting the pen from the paper. Continuity ensures that small changes in the input correspond to small changes in the output, which is crucial for reliable analysis and prediction.

For example, consider the function f(x) = 2x + 1. This linear function represents a business scenario where x represents the number of units sold, and f(x) represents the total revenue generated. The limit of f(x) as x approaches 2 is 5, indicating that as the number of units sold approaches 2, the total revenue approaches $5. Since f(x) = 2x + 1 is a linear function, it is continuous across its entire domain.

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P(A) = 4 / 20, this is the probability that a customer has enough cash

P (B) =16 / 20, this is the probability that a customer has a credit card.

P (A and B) = 3 / 20, this is the probability that a customer has enough cash and a credit card.

The probability that a customer has enough cash or a credit card is 0.85.

Probability is defined as the ratio of favorable outcomes to a total number of outcomes.

It is given that, 20 customers are eating dinner at a local restaurant.

The total number of customers = 20

Of the 20 customers,

4 have enough cash to pay for their meal

16 have a credit card and

3 have enough cash and a credit card.

Event A is the probability that a customer has enough cash

Event B is the probability that a customer has a credit card.

P(A) = 4 / 20 = 1 / 5, this is the probability that a customer has enough cash

P (B) =16 / 20 = 4 / 5, this is the probability that a customer has a credit card.

P (A and B) = 3 / 20, this is the probability that a customer has enough cash and a credit card.

To find the probability that a customer has enough cash or a credit card :

The formula used is P(A or B) = P(A) + P(B) - P(A∪B)

P (A or B) = P(A) + P(B) - P (A and B)

                = 4 / 20 + 16 /20 - 3 / 20

                = 17 / 20

                = 0.85

Therefore, The probability that a customer has enough cash or a credit card is 0.85.

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if f(1) = 10 and 2 ≤ f ′ (x) ≤ 5 for all x, The smallest possible value of f(4) is 16.

Using the Mean Value Theorem, we can find a lower bound for f(4) based on the given information. By the Mean Value Theorem, there exists some c between 1 and 4 such that:

f'(c) = (f(4) - f(1))/(4 - 1) = (f(4) - 10)/3

Since 2 ≤ f ′ (x) ≤ 5 for all x, we have:

2 ≤ f'(c) ≤ 5

Substituting the expression we obtained for f'(c), we get:

2 ≤ (f(4) - 10)/3 ≤ 5

Multiplying through by 3, we get:

6 ≤ f(4) - 10 ≤ 15

Adding 10 to each term, we get:

16 ≤ f(4) ≤ 25

Therefore, the smallest possible value of f(4) is 16.

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Answer:

15 quarts

Step-by-step explanation:

The clothing store is having a going out of business sale where every purchase is 35% off the original purchase price. The price of any purchase after the discount can be determined using the following expressions:

What is a mathematical expression?

What does a mathematical expression mean? Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

p - (0.35 * p)

p * (1 - 0.35)

p * 0.65

p / (1 + 0.35)

All the above expressions are equivalent and will give the same price of any purchase after the 35% discount.

p - (0.35 * p) is the expression for subtracting 35% of the original price from the original price.

p * (1 - 0.35) is the expression for multiplying the original price by (1- 0.35) which represents 65% of the original price.

p * 0.65 is the expression for multiplying the original price by 0.65, which represents 65% of the original price.

p / (1 + 0.35) is the expression for dividing the original price by (1 + 0.35) which represents 65% of the original price.

In all the above expressions, the original price is represented by p.

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The value of x is 1.14 or x = -1.47

We find the value of x in the quadratic equation 3x^2 +x-5=0

Using the formula: (-b ± √ (b²- 4 a c)) / (2a)

Where the value of a = 3, b = 1 and c = -5

Substituting the above values (a = 3, b = 1 and c = -5)

in the formula:

(-1 ± √ (1²- 4 3 (-5))) / (2*3)

= (-1 ± √ (1+60)) / (6)

= (-1 ± √ (61)) / (6)

= (-1 ± 7.81) / (6)

= (-1 + 7.81) / (6) or (-1 -7.81) / (6)

= (6.81) / (6) or (-8.81) / (6)

=1.135 or -1.468

Hence the value of x= 1.14 or -1.47

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Answer:

  1/3

Step-by-step explanation:

The simulation will say that Jeffrey collected three different toys if the numbers in a group of three are either 0 or 1, a number more than 1 and less than 6, and a number 6 or more.

The groups {3, 7, 1}, {5, 1, 7}, {9, 2, 0}, {3, 0, 6} and {4, 6, 0} all simulate collection of all three toys from three boxes of cereal. Of the 15 simulated sets of three boxes, that is a probability of 5/15, or 1/3.

_____

Additional comment

The simulated toy numbers can be grouped in different ways. For example, we could take a vertical column of numbers as representing the purchase of 3 boxes of cereal. Doing that, we find 3 different toys only for the simulated values {4, 0, 6}, the last digits in the 4th column. The probability from considering the simulation that way is 1/15.

From this group of 45 numbers, one could calculate P(car) = 10/45, P(bus) = 19/45, and P(airplane) = 16/45. These vary a little from the theoretical values. Overall, with these values, the probability of 3 different toys from 3 boxes is about 0.200, only slightly different from the theoretical probability of 0.192.