for an closed cylinder with radius r cm and height h cm, find the dimensions giving the minimum surface area, given that the volume is 6 cm3

Answer:

OK, Here is your answer

Step-by-step explanation:

Let's assume the capacity of the drum be C litres.Since the drum is initially 3/4 full, the amount of water in it is 3/4 × C = (3/4)C liters.When 9 liters of water are drawn from the drum, the remaining amount of water is (3/4)C - 9 liters.Since the drum is now half full, the amount of water remaining in it is (1/2)C liters.Therefore, we can write the equation: (3/4)C - 9 = (1/2)CTo solve for C, let's first get rid of the fractions by multiplying both sides by 4.(3/4)C - 9 = (1/2)C → 3C - 36 = 2C → C = 36Therefore, the capacity of the drum is 36 liters.Hence, the drum holds 3/4 × 36 = 27 liters of water initially and after 9 liters of water are drawn, the remaining amount of water in it is 27 - 9 = 18 liters.

Answer:

18 Lieters.

Step-by-step explanation:

found the answer in his answer. ↑↑↑↑

Answer:

d ≈ 5.64 m

Step-by-step explanation:

We are told that the pool is circular and that the area is 25 m².

Now, the longest chord that connects two points in a circle is the diameter.

Thus, the longest distance d will be the diameter

Area of circle is given by the formula;

A = πr²

Thus;

25 = πr²

r² = 25/π

r = √(25/π)

r = 5/√π

Diameter is twice the radius. Thus;

d = 2 × 5/√π

d = 10/√π

d ≈ 5.64 m

Answer:

4 tables

Step-by-step explanation:

6 kids would sit at 3 tables and 4 kids will sit at one

Answer:

They will need 4 Tables.

Step-by-step explanation: we need to take the number of students and divide it by how many students can sit at a table. Since 20/6 is 3 and one third, we round up to make sure that every student can sit leaving us with 4 as the answer.

Answer:

the answer is 1323. i took the quiz

Step-by-step explanation:

Answer:

1323 in³ for K12

Answer:

$129.44

Step-by-step explanation:

15% of $212.50 + 15% of $235.00 + 15% of $215.75 + 15% of $199.67 =

= 0.15 * $212.50 + 0.15 * $235.00 + 0.15 * $215.75 + 0.15 * $199.67

= $31.88 + $35.25 + $32.36 + $29.95

= $129.44

Answer: $129.44

Answer:

The minimum exam score to be awarded an A is about 8.52.

Step-by-step explanation:

Let X represent the scores on a common final exam.

It is provided that X follows a normal distribution with mean, μ = 71 and standard deviation, σ = 9.

It is provided that according to the department policy is that the top 10% of students receive an A.

That is, P (X > x) = 0.10.

⇒ P (X < x) = 0.90

⇒ P (Z < z) = 0.90

The corresponding z-score is:

z = 1.28

Compute the value of x as follows:

\(z=\frac{x-\mu}{\sigma}\\\\1.28=\frac{x-71}{9}\\\\x=71+(1.28\times 9)\\\\x=82.52\)

Thus, the minimum exam score to be awarded an A is about 8.52.

Answer:

\(-83<n-80\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:n>-3\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-3,\:\infty \:\right)\end{bmatrix}\)

The graph is also attached.

Step-by-step explanation:

Given the expression

\(-83\:<\:n\:-\:80\)

solving inequality

\(-83\:<\:n\:-\:80\)

switch sides

\(n-80>-83\)

Add 80 to both sides

\(n-80+80>-83+80\)

\(n>-3\)

Thus,

\(-83<n-80\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:n>-3\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-3,\:\infty \:\right)\end{bmatrix}\)

The graph is also attached.

Answer:

undefined graph

Step-by-step explanation:

Step-by-step explanation:

RS=25

QR=45

RT=50

QS=70

RU=75

QT=95

The maximum home value that can be financed is approximately $35,365.85.

Let's represent the maximum home value that can be financed by H.

If the minimum down payment is 18%, the amount financed is 100% - 18% = 82%.

Therefore, we have:

H × 82% = $29,000

Multiplying both sides by (1/82%), we get:

H = $29,000 / 82%

= $35,365.85

Hence, the maximum home value that can be financed is approximately $35,365.85.

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Following the pattern, the most likely next step in the series is given by the pentagon in option B.

We have to look at the number of points in each figure, hence:

Hence, the number of points increases by one for each figure, meaning that in the next step, the figure should have 5 points, representing a pentagon.

Among the options given for the answer, only one, option B, has 5 points, with the pentagon, as:

Hence, the most likely next step in the series is given by the pentagon in option B.

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Answer: A

because slope are

a) A function that gives the area of the playground (in square meters) in terms of x is A(x) = 60x - x².

b) The side length that gives the maximum area that the playground can have is x = 30 m.

c) The maximum area that the playground can have is 900 m².

In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);

P = 2(L + W)

Where:

By substituting the given side lengths, we have:

120 = 2(x + W)

60 = x + W

W = 60 - x

Therefore, the area of the rectangular playground (in terms of x) is given by this function;

A = LW

A(x) = x(60 - x)

A(x) = 60x - x²

Part b.

For the side length, we would take the first derivative of the area:

A(x) = 60x - x²

A'(x) = dA/dx

A'(x) = 60 - 2x

60 - 2x = 0

x = 60/2

x = 30 m

Part c.

W = 60 - x

W = 60 - 30

W = 30 m.

Therefore, the maximum area is given by;

A = 30 × 30

A = 900 m².

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Answer:

Step-by-step explanation:

30 dollars to spend she wants to buy at least ten which mean's since 2 times 5 is 10 and 4 times 5 is 20 and 10 plus 20 equals thirty which means she can buy 5 small coffee's and 5 large coffee's

Answer:3

Step-by-step explanation:there u go

Answer:

  170

Step-by-step explanation:

If we assume the given number is binary, its expanded form is ...

  1×2^7 +1×2^5 +1×2^3 +1×2^1 = 128 +32 +8 +2 = 170

The decimal equivalent of binary 10101010 is 170.

Answer:

  53

Step-by-step explanation:

Let's start with the given relation:

  2x -7 = (x+4) +5

  x = 16 . . . . . . . . . add 7-x

  3x +5 = 3(16) +5 = 53 . . . . . multiply by 3 and add 5

The value of 3x+5 is 53.

Answer:

The probability that a car chosen at random is not red is 75%.

Step-by-step explanation:

Given that a used car dealer sells SUVs and cars, and of all the vehicles, 60% are cars, and of all the vehicles, 15% are red cars, to determine what is the probability that a car chosen at random is not red you must perform the following calculation:

60 = 100

15 = X

15 x 100/60 = X

25 = X

100 - 25 = 75

Therefore, the probability that a car chosen at random is not red is 75%.

Answer:

1.875

Step-by-step explanation:

To find the expected winnings, we need to find the probability of all cases possible, multiply each case by the value of the case, and sum all these products.

In the die, we have 6 possible values, each one with a probability of 1/6, and the value of each output is half the value in the die, so we have:

\(E_1 = \frac{1}{6}\frac{1}{2} + \frac{1}{6}\frac{2}{2} +\frac{1}{6}\frac{3}{2} +\frac{1}{6}\frac{4}{2} +\frac{1}{6}\frac{5}{2} +\frac{1}{6}\frac{6}{2}\)

\(E_1 = \frac{1}{12}(1+2+3+4+5+6)\)

\(E_1 = \frac{21}{12} = \frac{7}{4}\)

Now, analyzing the coin, we have heads or tails, each one with 1/2 probability. The value of the heads is 2 wins, and the value of the tails is the expected value of the die we calculated above, so we have:

\(E_2 = \frac{1}{2}2 + \frac{1}{2}E_1\)

\(E_2 = 1 + \frac{1}{2}\frac{7}{4}\)

\(E_2 = 1 + \frac{7}{8}\)

\(E_2 = \frac{15}{8} = 1.875\)

Answer:

it will be choice 3

Step-by-step explanation:

as if you bend each shape of each of them the only choice that will give you a pyramide with a omitted side

Answer:

.20

Step-by-step explanation:

because customers are always right

Since there is a fixed number of trials and the trials are independent, it is appropriate to use the binomial probability distribution to find the probability that a contestant who plays the game that day several times wins exactly 4 times.

The formula is:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

In this problem:

Thus, the binomial distribution is appropriate.

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From the Pythagoras's Theorem, we know that:

(Hypotenuse)² = (base)² + (perpendicular)²

We are Given:

We are given that the 2 legs (Base and Perpendicular) of the triangle are (m²-n² and 2mn)

Solving for the Hypotenuse:

replacing the variables in the Pythagoras's theorem, we get:

Hypotenuse² = (m²-n²)² + (2mn)²

Hypotenuse² = (m⁴ -2m²n² + n⁴) + (4m²n²)                  [(a-b)² = a² - 2ab - b²]

Hypotenuse² = m⁴ -2m²n² + n⁴ + 4m²n²

Hypotenuse² = m⁴ + 2m²n² + n⁴

Hypotenuse² = (m²)² + 2m²n² + (n²)²

Hypotenuse² = (m² + n²)²                                              [a² + 2ab + b² = (a+b)²]

taking the square root of both the sides

Hypotenuse = m² + n²

The point of intersection of the two lines is (109/19, 61/19).

What is Linear equation ?

Linear equation can be defined as equation in which highest degree is one.

To determine the point of intersection of the following pairs of lines:

2x - 3y - 4 = 13

5x = -2y + 25

We need to find the values of x and y that satisfy both equations simultaneously. We can solve for one variable in terms of the other in one of the equations and substitute it into the other equation. Let's solve for y in the first equation:

2x - 3y - 4 = 13

-3y = 13 - 2x + 4

-3y = 17 - 2x

y = (2/3)x - (17/3)

Now we can substitute this expression for y into the second equation:

5x = -2y + 25

5x = -2((2/3)x - (17/3)) + 25

5x = (-4/3)x + 34/3 + 25

5x = (-4/3)x + 109/3

(19/3)x = 109/3

x = 109/3 * 3/19

x = 109/19

Now that we know x, we can substitute it back into either equation to find y. Let's use the equation we found for y earlier:

y = (2/3)x - (17/3)

y = (2/3)(109/19) - (17/3)

y = 61/19

Therefore, the point of intersection of the two lines is (109/19, 61/19).

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The media personality's argument is flawed because they are basing their conclusion on a single year's data and ignoring the overall trend of increasing global temperatures. To counter this argument, one can make the following points:

1. While it is true that the annual increase in temperature may be less than the margin of error, the trend of increasing temperatures over several decades cannot be ignored. The margin of error is a statistical concept that takes into account the uncertainty in the measurement, but it does not negate the overall trend.

2. Global temperature records show that the Earth's temperature has been steadily rising over the past century, with the 10 warmest years on record occurring since 2005. This trend cannot be explained by natural variability alone and is consistent with the effects of human-caused climate change.

3. The consequences of rising global temperatures, such as melting glaciers, rising sea levels, and more frequent extreme weather events, are already being felt around the world. Ignoring this trend could have devastating consequences for future generations.

In summary, the media personality's argument is based on a flawed understanding of statistics and ignores the overall trend of increasing global temperatures. The best counterargument is to highlight the overwhelming evidence of climate change and its potential consequences.

The measures of given figures are m∠ADC is 90 degrees and m∠DAC will be 34 degrees

A triangle is a three-sided polygon that consists of three edges and three vertices.

Given m∠B= 57 degrees

m∠c= 51 degrees

segment AD bisects m∠BAC

then  m∠ADC we need to find.

As AD is perpendicular to BC, the angle of  m∠ADC is 90 degrees.

Given m∠B= 66 degrees

m∠BAD=34 degrees

Now we need to find m∠DAC

m∠DAC will be 34 degrees

Hence, the measures of given figures are m∠ADC is 90 degrees and m∠DAC will be 34 degrees

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Answer:

2/3

Step-by-step explanation:

1/2 = 3/6

6 - 5 = 1

1 3/6 - 5/6 = 4/6

4/6 = 2/3

Hope this helped! Have a nice day! Plz mark as brainliest!!!

-XxDeathshotxX

Answer:

Answer is -1.666

Step-by-step explanation:

6*1/2=3

5*5/6=4.1666

hm this is weird, i thought i answered the question. or maybe they're two different questions? line graph because i said so. i know im so helpful