Solve the following system of equations. y + 5x = 30 2y = 5x + 15

The volume of the cylinder with radius r = x - 3 and height h = 2x + 7 is given by the expression V = π ( 2x³ - 5x² - 24x + 63 )

A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder. The volume of a cylinder is

Volume of Cylinder = πr²h

Surface area of cylinder = 2πr ( r + h )

where r is the radius of the cylinder

h is the height of the cylinder

Given data ,

Let the volume of the cylinder be represented as V

Now , the radius of the cylinder r = ( x - 3 ) units

Let the height of the cylinder be h = ( 2x + 7 ) units

And , Volume of Cylinder = πr²h

On simplifying the equation , we get

Volume of Cylinder = π ( x - 3 )² ( 2x + 7 )

Volume of Cylinder = π ( x² - 6x + 9 ) ( 2x + 7 )

On further simplification , we get

Volume of Cylinder = π ( 2x³ - 5x² - 24x + 63 )

Hence , the expression for the cylinder is V = π ( 2x³ - 5x² - 24x + 63 )

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Answer:

x=2

Step-by-step explanation:

Removable discontinuity is when you can connect the graph by filling in 1 singular point

✧･ﾟ: *✧･ﾟ:*hello there!*:･ﾟ✧*:･ﾟ✧

✧here is your answer:

.・゜゜・d. 2s + 6・゜゜・．

♥⛧i hope this helps!!

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❀-kay♬

Answer:

B

Step-by-step explanation:

The domain of the function 'f' represents  the set of all whole numbers.

A function is a relation between two sets. One set is called domain of the function and the other one is called range range of the function.

Given function is: f(x) = 0.41x.

f(x) represents the cost of mail.

Here, x represents the number of letters in the mail.

It can't be real numbers because, real numbers consist of negative numbers, fractions, etc.

It can not be integers, real numbers consist of negative numbers.

Therefore, the domain of must be all whole numbers.

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Answer:

Answer is A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

i just take the test

Answer: x=8 and DE=31

Step-by-step explanation:

Answer:

24abc

Step-by-step explanation:

(-c)*(-2a)*12b

Multiply the numbers

-1 * -2 *12 = 24

Multiply the variables

c*a*b = abc

Put it back together

24abc

Answer:

B. y<=-2x+1

Step-by-step explanation:

Answer:C

Step-by-step explanation:

You can graph the answer into desmos, a website which helps you graph, I graphed it and got C.

Answer:

x = 5

Step-by-step explanation:

90 - 55 = 35

8x - 5 = 35

    +5    +5

8x = 40

x = 5

Answer:

B. Exactly one solution

Step-by-step explanation:

Here's something that I learned. Same slope different y-intercept (no solution). Same slope and same y-intercept (Infinitely many solutions). Different slope and same y-intercept (one solution). Different slope and different y-intercept (one solution).

Answer:

the probability is 1/6. the probability for gold is 2/6

Step-by-step explanation:

2 gold rings and 4 other rings

Answer:

the probability of the first ring will be gold cause it's the second most one  and your second probability will most likely be the silver because it has more than the other rings

Step-by-step explanation:

In order to answer this question, we need to know how many teaspoons of vanilla you need for each cupcake. Reply the teaspoon amount and I’ll be happy to help!

Answer: 9x + 45 = 9x + 45 Infinitely many

Step-by-step explanation: Use distributive property for the left and add like terms for the right

Answer:

9,45,9,45 and infinite

Step-by-step explanation:

ngl im probably wrong but i tried

Answer:

Se pueden obtener 10.000 comprimidos de 500 mg de paracetamol a partir de la cantidad de 5 kg del medicamento

Step-by-step explanation:

La cantidad en masa de paracetamol en una tableta = 500 mg de paracetamol / tableta

El número de comprimidos que contienen 500 mg de paracetamol que se pueden obtener a partir de 5 kg del medicamento (paracetamol) se calcula dividiendo los 5 kg del medicamento por los 500 mg de paracetamol / comprimido de la siguiente manera;

[tex]El \ nmero \ de \ tableta = \dfrac{5 \ kg \ paracetamol}{500 \ mg \ paracetamol/tableta }[/tex]

Observamos que 5 kg = 5,000,000 mg

Por lo tanto;

[tex]El \ numero \ de \ tableta = \dfrac{5,000,000 \ mg \ paracetamol}{500 \ mg \ paracetamol/tableta } = 10,000 \ tabletas[/tex]

Por tanto, podemos obtener 10.000 comprimidos de 500 mg de paracetamol a partir de la cantidad dada de 5 kg del medicamento.

Answer:

x+y=4+8=12

$12 for one of each

or if you mean indivually (the wording confused me)

$4 for child, $8 for adult

Step-by-step explanation:

x=adult

y=child

2x+10y=56

4x+5y=52

iin order to be able to subtract values and find x and y im going to multiply 4x+5y=52 by two and get 8x+10y=104

8x+10y=104

-2x+10y=56

6x=48 divide each side by 6

x=8

plug 8 back into an equation to find cost of y

2(8)+10y=56

-16            -16

10y=40

y=4

Answer:

Need a calculator

Step-by-step explanation:

This will be hard to explain without the ability to draw an example.

The one thing you can memorize is SOH - CAH - TOA

This stands for SIN(Opposite/Hypotenuse), COS(Adjacent/Hypotenuse) and TAN(Opposite/Adjacent).

When you know the angles of a right triangle and at least one side length, you can get the length of all the sides.

So a right triangle has two legs (sides) and the hypotenuse.  If you use the first angle ( 30 degrees)  you can use the formulas above to calculate the side length.

Pick either the SOH or the CAH.  Let's use SOH and write out the equation:

SIN(30 degrees) = Opposite Side divided by the Hypotenuse (11mm)

You can solve for the Opposite Side by multiplying both sides of the equal sign with 11mm.    You end up with SIN(30 degrees) X 11m = Opposite Side.

So the side directly across from the 30 degree angle should be 5.5mm

You can do the exact same thing with the 60 degree angle.

SIN(60 degrees) = Opposite Side divided by Hypotenuse (11mm)   OR

SIN(60 degrees) X 11mm = Opposite Side

This comes out to about 9.5mm

You can check the math by using the other equation CAH

Start with the 30 degree angle and solve for the adjacent side.  This is the side that is touching the 30 degree angle.  Equation will be

COS(30 degrees) X 11mm = Adjacent Side  or  about 9.5mm

The other equation will give you the side that is touching the 60 degree angle.

COS(60 degrees)  X 11mm = Adjacent Side or  5.5mm

You can also use one last thing to check your math.  The Pathagorean Theorem says in a right triangle  [tex]A^{2}[/tex] + [tex]B^{2}[/tex] = [tex]C^{2}[/tex] where C is the hypotenuse and A and B are the two sides.

[tex]5.5^{2}[/tex]  +  [tex]9.5^{2}[/tex]  should equal  [tex]11^{2}[/tex].  Give or take a few decimal places, it's almost exactly 11 (10.977 to be exact).

Answer:

The answer is A.Cos 57.

Step-by-step explanation:

Took the test..

Answer: 30 mins + 30 mins + 20 Mins

= 80 Minutes

Answer:

the answer is a

Step-by-step explanation:

you times the 1/6 by 2 to get 2/12 then 3/4 by 3 to get 9/12 so all your fractions have the same denominator and the do the rest of the math with the new fractions and the same whole numbers that went with them. hope this helps

Answer:

Planes EA and FG

Step-by-step explanation:

Answer:

EA & FG

Step-by-step explanation:

Edge 2020

Answer:

Irrational

Step-by-step explanation:

[tex] \sqrt{23 + 3 } = \sqrt{26} [/tex]

An irrational number is a number that cannot be written as a fraction. Therefore √26 is an irrational number.

Irrational

Step-by-step explanation:

An irrational number is a number that cannot be written as a fraction. Which means that √23 is an irrational number.

Answer:

Around $650

Step-by-step explanation:

The original price of a share is $540.

Given that, Seraj Food Industries fell by 40%, to $324 a share.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100.

Let the original price of share be x.

x - 40% of x = 324

⇒ x - 40/100 × x = 324

⇒ x - 0.4x = 324

⇒ 0.6x = 324

⇒ x = 324/0.6

⇒ x = 540

Therefore, the original price of a share is $540.

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Answer:

its on google

Step-by-step explanation:

[tex]0.0063 = 63 \times {10}^{ - 4} = 6.3 \times {10}^{ - 3} \\ [/tex]

Done... ♥️♥️♥️♥️♥️

Answer:

what she said ^^ :)

Answer:

175 km

Step-by-step explanation:

1.5/75=3.5/x

1.5x=262.5

x=175

Answer:

136.2

Step-by-step explanation:

Answer:

136.2

Step-by-step explanation:

1634/12=136.1666666667=136.2

Answer:

8 degrees

Step-by-step explanation:

The temperature was -7 and then rose by 15, -7 +15 = 8

Answer:

Some subjects are more important than others. You have to be working in a field where the concepts you learn in school.

I'd say that everything you learn in middle school and Algebra 1 + 2 , maybe a little of geometry you'll use at some point in your life.

Step-by-step explanation:

Everyone has asked themselves: When will I use math? Well, hundreds of careers use skills learned in high school math on a daily basis. The truth is virtually every career you could choose will build on the basic skills learned in High School Math.

But there are a number of craft and fine arts careers that do not require math skills or involve using them regularly, such as being a painter or sketch artist. Craft and fine artists produce original works that will be displayed or sold, and they may work with a range of materials, such as paint, glass or ink.

To conclude I might say that math is important and everyone should know more than just some basic skills in math.Life is long and sometime harsh for most of us and not always we get in life what we want,probably we will end up doing a job that it was not our dream job.

Or our preferences might change depending on different aspects of life.So knowing a 'little bit' from every subject we do in school is not a bad thing,at the end we know all that greatest things are achived will a hard work!So we should learn as much as we can! Math especially!

And all our hard work will be payed at the end,just remember this!

:)