A right cylinder has a radius of 3 cm and a height of 7 cm.

Answer the following questions and make sure to show all your work.

(a) Find the Surface Area of the cylinder.

(b) Find the Volume of the cylinder.

(c) If you wanted more volume in your cylinder, which of these two ideas would give the most Volume?

1. Doubling the radius to 6 cm, while the height remains 7 cm.

-OR-

2. Tripling the height to 21 cm, while the radius remains 3 cm.

Answer:

A. y = cos x - 2

Step-by-step explanation:

Answer:

4g-2/5

Step-by-step explanation:

Answer:

it would be 18.6 inches because the diaganol across a screen is more than the width by a little bit

Answer: 3%

Step-by-step explanation:

first roll 1 out of 6 chance or 16%

second roll is also 1 out of 6 chance or 16%

Mulitple .16 by .16 to get .0256 rounded to whole percentage 3%

Answer:

B

Step-by-step explanation:

x² - 6x = 0

x² - 6x + (6/2)² = (6/2)²

x² - 6x + 9 = 9

(x - 3)² = 9

So B

Answer:

maximum at (3,23)

Step-by-step explanation:

graphed it

Answer:

(1, 5)

Step-by-step explanation:

The solution to the system of equations is the point of intersection of the two lines.  From inspection of the graph, the point of intersection is at (1, 5).

Proof

The solution to a system of equations is the point at which the two lines meet.  

⇒ g(x) = f(x)

⇒ 3x + 2 = |x - 4| + 2

⇒ 3x = |x - 4|

⇒ 3x = x - 4   and   3x = -(x - 4)

⇒ 3x = x - 4

⇒ 2x = -4

⇒ x = -2

Inputting x = -2 into the 2 equations:

⇒ g(-2) = 3 · -2 + 2 = -4

⇒ f(-2) = |-2 - 4| + 2 = 8

Therefore, as the y-values are different, x = -2 is NOT a solution

⇒ 3x = -(x - 4)

⇒ 3x = 4 - x

⇒ 4x = 4

⇒ x = 1

Inputting x = 1 into the 2 equations:

⇒ g(1) = 3 · 1 + 2 = 5

⇒ f(1) = |1 - 4| + 2 = 5

Therefore, as the y-values are the same, x = 1  IS a solution

and the solution is (1, 5)

X = 2 cm

Y = 1. cm

Check me if I'm Wrong.

Answer:

75+3-1 =77

Step-by-step explanation:

444+225752-57560+55-577=77

Answer:

x = -5/4

Step-by-step explanation:

"3 more than a number" is 3 + x

The product of 3+x and 8 is (3+x)(8)

Solve:

-Chetan K

A triangle has three sides, the first, second, and the add up to 24, since that's the perimeter

The second side = the first (let's call it L) + 2

The third is two more then the second, so L + 2 + 2

first side = L

second = L + 2

third = L + 2 + 2

add all three together, L + L + 2 + L + 2 + 2 = 24

combine the L's and 2's

3L + 6 = 24

subtract 6 from both sides

3L = 18

divide by 3

L=6

so the first side is 6, the second is 8, the third is 10

I'm happy to help!

Answer:

Adult tickets are $14

Student tickets are $8

Step-by-step explanation:

let's say that [tex]\tt s=student~ticket\\\\[/tex]

And [tex]\tt a=adult~ticket[/tex]

on the first day we have:

[tex]\tt 3s+a=38[/tex]

On the second day we have

[tex]\tt3s+2a=52[/tex]

now we have a system of 2 equations with 2 unknown

[tex]\tt 3s+a=38[/tex]

[tex]\tt 3s+2a=52[/tex]

we will multiply the first equation with -1

[tex]\tt -3s-a=-38\\\tt ~3s+2a=52[/tex]

we solved the system and

a= $14,  forthe adult ticket

s= $8 for the student ticket

Have an Awesome day!

Transforming the ODE yields

[tex]L\left\{y'' - y'\right\} = L\left\{e^{-3t}\right\}[/tex]

[tex](s^2 Y(s) - sy(0) - y'(0)) - (s Y(s) - y(0)) = \dfrac1{s+3}[/tex]

[tex](s^2 - s) Y(s) = \dfrac1{s+3}[/tex]

[tex]Y(s) = \dfrac1{(s^2 - s)(s+3)} = \dfrac1{s(s-1)(s+3)}[/tex]

Partial fractions:

[tex]Y(s) = \dfrac as + \dfrac b{s-1} + \dfrac c{s+3}[/tex]

[tex]\implies 1 = a(s-1)(s+3) + b s(s+3) + c s(s - 1)[/tex]

[tex]\implies 1 = -3 a + (2 a + 3 b - c) s + (a + b + c) s^2[/tex]

[tex]\implies \begin{cases}-3a=1 \\ 2a+3b-c=0 \\ a+b+c=0\end{cases} \implies a=-\dfrac13, b=\dfrac14, c=\dfrac1{12}[/tex]

[tex]\implies Y(s) = -\dfrac13 \times \dfrac1s + \dfrac14 \times \dfrac1{s-1} + \dfrac1{12} \times \dfrac1{s+3}[/tex]

Take the inverse transform:

[tex]\boxed{y(t) = -\dfrac13 + \dfrac{e^t}4 + \dfrac{e^{-3t}}{12}}[/tex]

Step-by-step explanation:

the first question

x²+x+5

when x is -4

(-4)²+(-4)+5

16-4+5

12+5

17

hope this was helpful

Using the uniform distribution, it is found that the mathematical expression for the probability density function of battery recharging time for this scenario is given by:

[tex]f(x) = \frac{1}{40}, 70 \leq x \leq 110[/tex]

[tex]f(x) = 0[/tex], elsewhere.

It is a distribution with two bounds, a and b, in which each outcome is equally as likely.

The probability density function is:

[tex]f(x) = \frac{1}{b - a}, a \leq x \leq b[/tex]

[tex]f(x) = 0[/tex], elsewhere.

In this problem, the actual recharging time required is uniformly distributed between 70 and 110 minutes, hence a = 70, b = 110, and the density function is:

[tex]f(x) = \frac{1}{40}, 70 \leq x \leq 110[/tex]

[tex]f(x) = 0[/tex], elsewhere.

More can be learned about the uniform distribution at https://brainly.com/question/13889040

Answer: True, True, True

Step-by-step explanation:

A. True. Angles B and C are congruent, and since B' is congruent to B, by the transitive property, C is congruent to B', and thus has the same measure.

B. True. AB>BC, and the rigid motions won't change the side lengths.

C. True for the same reason in B.

Answer:

$3.36

Step-by-step explanation:

to find out what the price is after an increase of 3.5%, set it as 103.5% of the original price and then we convert the percent to a decimal (divide by 100)

so:

$3.25 x 103.5% =

3.25 x 1.035 = $3.36

Answer:

$3.36

Step-by-step explanation:

0.11375(3.5% of $3.25) + 3.25 = 3.36375

round to the hundredth since it money and your answer is #3.36

Answer:

5/4

Step-by-step explanation:

B = kC/D³

Given B = 5, C = 2, D = 1

so 5 = k(2)/1³ = 2k, k = 5/2 = 2.5

B = 2.5C/D³

when C = 4, D = 2

B = 2.5 * 4/2³ = 10/8 = 5/4

Answer:

It is already in standard form

Step-by-step explanation:

Four hundred eighty-two and seventy-three thousandths. = 482.073

It is already in standard form

Hope this helps!

Hey there!

482.073 is expressed in

Standard Form

The standard form of 482.073 is 482.073. (four hundred eighty-two point zero seven three)

I hope you find my answer helpful.

Good luck!

Have a great day!

[tex]\bf{StargazingWithJoy}[/tex]

Answer:

0

Step-by-step explanation:

it's straight

Answer:

0

Step-by-step explanation:

because it does not rise or fall so it has no slope.

Please mark brainlest

Answer:

b(n) = 15 - 7(n - 1)

Step-by-step explanation:

Answer:

aₙ = 11 - 9(n - 1)

Step-by-step explanation:

2 - 11 = (-7) - 2 = -9

So it is an arithmetic sequence

a₁ = 11

a₂ = 2 = 11 + (-9) = 11 + (2 - 1)*(-9)

a₃ = -7 = 2 + (-9) = 11 + (-9) + (-9) = 11 + (3 - 1)*(-9)

.....

aₙ = 11 + (n - 1) * (-9)

or

aₙ = 11 - 9(n - 1)

Answer:

the price of each adult ticket is $43

Step-by-step explanation:

Let's say the price for 1 adult ticket is x and the price for 1 child ticket is y

3y = 18.5 and 3y + 2x = 104.50

2x + 18.5 = 104.50

2x = 104.5 - 18.50

2x = 86

x = [tex]\frac{86}{2}[/tex]

x = 43

So the price for 1 adult ticket is $43

Answer:

Let's say the price for 1 adult ticket is x and price for 1 child ticket is y

3y = 18.5 and 3y + 2x = 104.5

<=> 2x + 18.5 = 104.5

<=> 2x = 104.5 - 18.5

<=> 2x = 86

<=> x = 86 / 2

<=> x = 43

So the price for 1 adult ticket is $43

Answer: 5

Step-by-step explanation:

8/10 = 4/N

0.8 = 4/N

0.8N  = 4

N = 4/0.8 = 5

Answer:

[tex]\displaystyle 33,8 ≈ b \\ 55,1 ≈ a \\ 35° = m∠B[/tex]

Step-by-step explanation:

We will be using the Law of Sines to find edges b and a one at a time, therefore we will use the given variables in the formulas:

Solving for Angles:

[tex]\displaystyle \frac{sin∠C}{c} = \frac{sin∠B}{b} = \frac{sin∠A}{a}[/tex]

**Use [tex]\displaystyle arcsin\:or\:sin^{-1}[/tex]in your solution or you will throw the result off!

Solving for Edges:

[tex]\displaystyle \frac{c}{sin∠C} = \frac{b}{sin∠B} = \frac{a}{sin∠A}[/tex]

__________________________________________________________

[tex]\displaystyle \frac{33}{sin\:34} = \frac{b}{sin\:35} \hookrightarrow \frac{33sin\:35}{sin\:34} = b \hookrightarrow 33,848824408... = b \\ \\ 33,8 ≈ b[/tex]

We will now define edge a:

[tex]\displaystyle \frac{33}{sin\:34} = \frac{a}{sin\:111} \hookrightarrow \frac{33sin\:111}{sin\:34} = a \hookrightarrow 55,093964682... = a \\ \\ 55,1 ≈ a[/tex]

This triangle is now deemed solved.

***The fact that you solved for the [tex]\displaystyle m∠B[/tex]tells me that you understood what to when it comes to the interior angles of triangles, so I did not have to cover that. Good wourk citisen!

I am delighted to assist you at any time. If you have further questions though, comment them and I will do my very best to answer them.

Considering the desired result of the hypothesis test, we the closest mean time to 1.5 hours, hence the correct option is:

C. 1.6 hrs

The closer the mean is to the sample mean, the less likely we are to reject the null hypothesis.

In this problem, the sample mean is of 1.5 hours, hence, the closest value, considering the absolute value of the difference, is of 1.6 hours, hence option C is correct.

More can be learned about the test of an hypothesis at https://brainly.com/question/16313918

Answer:

n-1, -n+1

Step-by-step explanation:

| x - 1 | = n

so x-1 = n , -n

for x-1=n ; x= n+1

for x-1=-n ; x= -n+1

Answer:

-3a-7

Step-by-step explanation:

-3(a)   -3(7)    

14-3a-21      

-3a-7

Answer:

52d+24433 is the correct answer

Answer:

24433+52d

Step-by-step explanation:

Simplify by adding

2,680 pounds of meat

Step-by-step explanation:

Combine the meat:

116 + 18 = 134

Multiple the total amount of pounds by the number of meatballs:

20 × 134 = 2,680

Answer = 2, 680 pounds are needed