A cylinder has a height of 2 millimeters. Its volume is 6.28 cubic millimeters. What is the
radius of the cylinder?

Answer:

19.396193043263

Step-by-step explanation:

Using a system of equations, it is found that £52 was originally shared.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are given as follows:

Angela and Michelle shared some money in the ratio 4: 9, hence, considering t as the total:

Angela gave Daniel half her share.Michelle gave Daniel a third of her share. Daniel was given a total of £20, hence:

\(\frac{x}{2} + \frac{y}{3} = 20\)

\(\frac{4t}{26} + \frac{9t}{39} = 20\)

\(\frac{12t + 18t}{78} = 20\)

30t = 20 x 78

t = 20 x 78/30

t = £52.

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Answer:

About 4.44

Step-by-step explanation:

Let x represent the unknown amount of CD's sold each day. Thus, the linear equation is formed:

40-x = 2x + 3 (2x) Next collect like terms by adding x to both sides.

40-x+x= x + 2x + 3 (2x)

40 = 3x + 3 (2x)

40 = 3x + 6x

40= 9x

40/9 = 9x/9

x= 4.44

Note: 2x represents doubling up the sales amount, which was left.

3x represents tripling the sales amount left.

The point of intersection between the given plane and the line perpendicular to the plane and passing through (8, 4, 3) is (-4, -14, 9).

To find the point of intersection between a plane and a line, we need to know the equation of the plane and the equation of the line.

Given:

Plane equation: ax + by + cz = d

Line equation: P = P₀ + tV

To find the point of intersection, we can substitute the line equation into the plane equation and solve for the parameter 't'.

Let's assume the plane equation is:

2x + 3y - z = 4

And the line equation passing through (8, 4, 3) and perpendicular to the plane can be represented as:

P = (8, 4, 3) + tV

First, we need to find the normal vector of the plane. From the coefficients of x, y, and z in the plane equation, we can determine the normal vector as (2, 3, -1).

Since the line is perpendicular to the plane, the direction vector 'V' of the line will be the same as the normal vector of the plane. Therefore, V = (2, 3, -1).

Substituting the values into the plane equation:

2(8) + 3(4) - 1(3) + t(2) + t(3) + t(-1) = 4

Simplifying the equation:

16 + 12 - 3 + 2t + 3t - t = 4

28 + 4t = 4

4t = -24

t = -6

Now, substitute the value of 't' back into the line equation to find the point of intersection:

P = (8, 4, 3) + (-6)(2, 3, -1)

P = (8, 4, 3) + (-12, -18, 6)

P = (-4, -14, 9)

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First answer: -2

Second answer: 5

Answer:

(-2,5)

x= -2

y=5

Step-by-step explanation:

I'm going to solve this through substitution

We need a variable by itself (and we also need it to be positive)

We solve for y in the second equation

5x-y= -15

5x+15=y

We can then plug this in for y into the first equation

3x+2(5x+15)=4

and solve for x

3x+10x+30=4

13x= -26

x= -2

We can then plug this value in for x into any of the two beginning equations and solve for y

5(-2)-y= -15

-10-y= -15

-y= -5

y =5

Answer:

x = 25

Step-by-step explanation:

Given:

Amount invest p = Tk.x

Number of year t = 4

Rate r = x%

Profit = Tk.x

Find:

Value of x

Computation:

Profit = prt / 100

Tk.x = [(Tk.x)(x)(4)] / 100

x = 100 / 4

x = 25

Answer:

E

Step-by-step explanation:

Here’s a tree diagram that represents the total outcomes for selecting two stones by choosing a white stone first and a red stone second:

         Start

          |

          |

    ______|______

   |             |

   |             |

White 1       White 2

   |             |

   |             |

___|___       ___|___

|       |     |       |

|       |     |       |

Red 1   Red 2 Red 1   Red 2

There are two branches at the first level representing the two possible choices for the white stone. For each of these branches, there are two branches at the second level representing the two possible choices for the red stone. So there are a total of 2 * 2 = 4 possible outcomes: (White 1, Red 1), (White 1, Red 2), (White 2, Red 1), and (White 2, Red 2).

The interquartile range approximately remains the same.

When all individuals are arranged in ascending order, first 10 include 5-6 year old and the 11th person is 30 year old mother.

Original,

which would again be 5 or 6.

New,

which would again be 5 or 6.

Hence, would approximately remain the same.

When all individuals are arranged in ascending order, first 10 include 5-6 year old and the 11th person is 30 year old mother.

Original Median was either 5 or 6.

New Median = \frac{n+1}{2}^{th}term=\frac{11+1}{2}^{th}term=6^{th}term which would again be 5 or 6.

Hence, Median would approximately remain the same.

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TCR(A) = 4 + 4 + 4 + 4 + 4 = 20 TCR(E) = 3 + 3 + 3 + 3 + 3 = 15 TCR(I) = 2 + 2 + 2 + 2 + 2 = 10 TCR(O) = 1 + 1 + 1 + 1 + 1 = 5 TCR(U) = 0 + 0 + 0 + 0 + 0 = 0

The selection sequence of the departments according to CORELAP is A, E, I, O, U.

To determine the TCR values and the selection sequence of the departments according to CORELAP, we need to analyze the given relationship chart. The TCR values indicate the total relationships each department has with other departments, and the selection sequence determines the order in which departments should be selected based on their TCR values.

a) To find the TCR values, we calculate the sum of the relationships for each department in the chart. The TCR values are as follows:

Department A: 4

Department E: 7

Department I: 4

Department O: 4

Department U: 2

b) To determine the selection sequence according to CORELAP, we arrange the departments in descending order of their TCR values. The selection sequence is as follows:

E, A, I, O, U

According to the given relationship chart, we have the following relationships between departments:

```

   A   E   I   O   U

A   X   X   X   X   X

E   X   X   X   X   X

I   X   X   X   X   X

O   X   X   X   X   X

U   X   X   X   X   X

```

Using the values A=4, E=3, I=2, O=1, U=0, X=-4, we can compute the TCR (Total Critical Relationships) values by summing the relationships for each department:

TCR(A) = 4 + 4 + 4 + 4 + 4 = 20

TCR(E) = 3 + 3 + 3 + 3 + 3 = 15

TCR(I) = 2 + 2 + 2 + 2 + 2 = 10

TCR(O) = 1 + 1 + 1 + 1 + 1 = 5

TCR(U) = 0 + 0 + 0 + 0 + 0 = 0

The selection sequence according to CORELAP is determined by arranging the departments in descending order of their TCR values:

Selection Sequence: A, E, I, O, U

Therefore, the selection sequence of the departments according to CORELAP is A, E, I, O, U.


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A) the three inequalities that must be satisfied are:

B) Graph shaded and satisfying all conditions is attached.

An inequality in mathematics is a relationship that makes a non-equal comparison between two integers or other mathematical expressions.

It is most commonly used to compare the sizes of two numbers on a number line.

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Answer:

A

Step-by-step explanation:

to find (g ￮ f)(3) , evaluate f(3) and substitute the value obtained into g(x)

f(3) = | 3 + 2 | = 5 , then

g(5) = - 5² = - 25

First of all, we replace the unknown "x" by "3".

We put the function "f" inside the function "g".

\(g( |3 \: + \: 2| ) \: = \: - |3 \: + \: 2| ^{2} \)

\(g( |5| ) \: = \: - |5| ^{2} \)

\(g(5) \: = \: - 5 ^{2} \)

\(g(5) \: = \: \boxed{ \bold{ - 25}}\)

\( \text{A. } \: \boxed{ \bold{-25}}\)

Answer:

slope = -4, y intercept = 1

Step-by-step explanation:

Answer:5 percent

Step-by-step explanation: subtract new amount minus old amount then divide then make the decimal you get into and change to a percent

Answer: 1/45

Step-by-step explanation:

From thw question, we are told that there are:

Yellow marbles =2

Pink marbles =3

Blue marbles = 5

Total marbles = 2+3+5 = 10

The probability of drawing the first yellow ball will be= 2/10

Since the ball is not replaced, that means there will be 9 balls left and 1 yellow ball left. Therefore, the probability of drawing the second yellow ball will be = 1/9

The probability of drawing two yellow balls if they're not replaced will now be:

= 2/10 × 1/9

= 2/90

= 1/45

Answer:

\(648 \sqrt{6} \)

Step-by-step explanation:

\(12 \sqrt{12} \times 9 \sqrt{18} \)

\(12 \sqrt{4} \sqrt{3} \times 9 \sqrt{9} \sqrt{2} \)

\(12 \times 2 \times \sqrt{3} \times 9 \times 3 \times \sqrt{2} \)

\(648 \sqrt{6} \)

The first 4 terms of the sequence are -5, -2, 1, 4

What is a sequence?

A sequence is a predetermined arrangement of connected actions, occurrences, or objects that occur after one another. A sequence is an ordered collection of enumerated objects in mathematics where repeats are permitted. A sequence can also be seen as a set as it contains members as well.

Solution Explained:

Given,  
\(a_{1} = -5\\a_{n} = a_{n-1} + 3\)

Assuming n ≥ 2, we get

\(a_{2} = a_{n-1} + 3\\a_{2} = a_{2-1} + 3 \\a_{2} = a_{1} + 3\\a_{2} = -5 + 3\\a_{2} = -2\)

\(a_{3} = a_{n-1} + 3\\a_{3} = a_{3-1} + 3 \\a_{3} = a_{2} + 3\\a_{3} = -2 + 3\\a_{3} = 1\)

\(a_{4} = a_{n-1} + 3\\a_{4} = a_{4-1} + 3 \\a_{4} = a_{3} + 3\\a_{4} = 1 + 3\\a_{4} = 4\)

Hence, the first 4 terms of the sequence are -5, -2, 1, 4

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Answer:

2497.22...

Step-by-step explanation:

Answer:

x + (2x + 40) + (3x - 50) = 15002

Remove the parentheses

x + 2x + 40 + 3x - 50 = 15002

Combine like terms

x + 2x + 3x + 40 - 50 = 15002

6x - 10 = 15002

6x = 15002 + 10

6x = 15012

x = 15012/6

x = 2502

Step-by-step explanation:

Hope it helps :)

Brainliest pls?

Answer:

Step-by-step explanation:

Hello, I believe that we can consider a different from 0.

By definition of the roots we can write.

\(ax^2+bx+c=a(x-\alpha)(x-\beta)=a(x^2-(\alpha + \beta)x+\alpha \cdot \beta)\\\\\text{So we can say that:}\\\\\alpha + \beta = \dfrac{-b}{a}\\\\\alpha \cdot \beta=\dfrac{c}{a}\\\\\text{So the expected quadratic equation is}\\\\(x+\dfrac{b}{a})(x-\dfrac{c}{a})=0\\\\<=> \Large \boxed{\sf \bf \ (ax+b)(ax-c)=0 \ }\)

Thank you

Step-by-step explanation:

.................................

Answer:

66

Step-by-step explanation:

50+4=54 all u have to do is keep adding 4

Answer:

1.33

Step-by-step explanation:

2 1/2=2.5

1 7/8=1.87

=1.33

Answer:

Find the slope of the original line and use the point-slope formula y−y1=m(x−x1)to find the line parallel to y=4x.

y=4x+4

Step-by-step explanation:

Answer:

c. 1/4

Step-by-step explanation:

Answer:

C. volume

Step-by-step explanation:

when youre starting your measurements you want to start the volume first.

Answer:

C

Step-by-step explanation:

got it right

We have a differential equation as 6x5sin(2x)y′′−2x2cos(6x)y′=0 given that y1=2 and y2=cos2(6x) sin2(6x) are the solutions.

To prove this we can check whether both solutions satisfy the given differential equation or not. We know that the second derivative of y with respect to x is the derivative of y with respect to x and is denoted as "y′′. Now, we take the derivative of y1 and y2 twice with respect to x to check whether both are the solutions or not. Finding the derivatives of y1:Since y1 = 2, we know that the derivative of any constant is zero and is denoted as d/dx [a] = 0. Therefore, y′ = 0 . Now, we can differentiate the derivative of y′ and obtain y′′ as d2y1dx2=0. Thus, y1 satisfies the given differential equation. Finding the derivatives of y2:Now, we take the derivative of y2 twice with respect to x to check whether it satisfies the given differential equation or not. Differentiating y2 with respect to x, we get y′=12sin(12x)cos(12x)−12sin(12x)cos(12x)=0. Differentiating y′ with respect to x, we get y′′=−6sin(12x)cos(12x)−6sin(12x)cos(12x)=−12sin(12x)cos(12x)Therefore, y2 satisfies the given differential equation.
Hence, both y1 = 2 and y2 = cos^2(6x) sin^2(6x) are the solutions to the given differential equation 6x^5 sin(2x)y′′ − 2x^2 cos(6x)y′ = 0. Both y1 = 2 and y2 = cos^2(6x) sin^2(6x) are the solutions to the given differential equation 6x^5 sin(2x)y′′ − 2x^2 cos(6x)y′ = 0. To prove this, we checked whether both solutions satisfy the given differential equation or not. We found that the second derivative of y with respect to x is the derivative of y with respect to x and is denoted as y′′. We differentiated the y1 and y2 twice with respect to x and found that both y1 and y2 satisfy the given differential equation. Both y1 = 2 and y2 = cos^2(6x) sin^2(6x) are the solutions to the given differential equation.

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Answer:

17.3

Step-by-step explanation:

To solve this equation, you need to use the pythagorean theorem which is:

\(a^{2} +b^{2}= c^{2}\)

a= length

b= height

c= hypotenuse

First, substitute in your values for the equation:

\(10^2+b^{2} =20^{2}\)

Then, use the squares in the equation:

\(100+b^{2} =400\)

Then, subtract 100 from both sides to isolate b:

\(b^{2} =300\)

Finally, square root both sides to get your answer:

\(b=17.3205080757\)

Then round to the nearest tenth which gives you 17.3.

Answer: 17.3 ft

Step-by-step explanation:

Answer:

Step-by-step explanation

2=x