A rectangle and a vertical line are shown. If the rectangle is revolved about the vertical line, what is the resulting object?

a rectangle with one side against a vertical line

solid cylinder
hollow cylinder
hollow cone with truncated top
solid cone

Step-by-step explanation:

Note that the denominators in the expression are perfect squares:

[tex] {x}^{2} - 5xy + 6 {y}^{2} = (x - 2y)(x - 3y)[/tex]

[tex] {x}^{2} - 4xy + 3 {y}^{2} = (x - y)(x - 3y)[/tex]

[tex] {x}^{2} - 3xy + 2 {y}^{2} = (x - y)(x - 2y)[/tex]

We can then write the given expression as

[tex] \frac{1}{ {x}^{2} - 5xy + 6 {y}^{2} } + \frac{a}{{x}^{2} - 4xy + 3{y}^{2} } + \frac{1}{{x}^{2} - 3xy + 2{y}^{2}}[/tex]

[tex] \frac{1}{ {x}^{2} - 5xy + 6 {y}^{2} } + \frac{a}{{x}^{2} - 4xy + 3{y}^{2} } + \frac{1}{{x}^{2} - 3xy + 2{y}^{2}}[/tex]

[tex] = \frac{1}{(x - 2y)(x - 3y)} + \frac{a}{(x - y)(x - 3y)} + \frac{1}{(x - y)(x - 2y)}[/tex]

[tex] = \frac{(x - y)(x - 2y) {(x -3y)}^{2} + a {(x - y)}^{2} (x - 2y)(x - 3y) + (x - y){(x - 2y)}^{2}(x - 3y) }{ {(x - y)}^{2} {(x - 2y)}^{2} {(x - 3y)}^{2} } [/tex]

Answer:

Step-by-step explanation:

First, you should put the axis of symetry as 5, -7 because f(x)= (x-h)^2+k and h is 5 and k is -7. the axis of symetry is x=5 because that is the "folding point" of the graph. Next, you would have to plug In 4 and 6 as your helping points to tell you where the other points of the function are going to be.

Plug 4 in and you get -6. plug 6 in and you get -6. plot the points (4, -6) and (6,-6).

Hope this helps!

:)

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Answer:

A) 7.12

Step-by-step explanation:

Simply, subtract 10.52 by 3.4 to get your answer or plug in each answer until you get 10.52

Hope this helps, good luck! :)

Answer:

Below

Step-by-step explanation:

The area of a circle is given by A=πr². Since we know the radius, we can sub r with 11.

This gives A=11²π, which by solving the square gives A=121π.

From there, you would solve with a calculator by typing 121×π, giving a final area of 380.132711084.

**This content involves using the circle area formula, which you may wish to revise. I'm always happy to help!

Answer:

672 feets

Step-by-step explanation:

Using the solution diagram attached, the vertical height, h of the lighthouse ;

Using trigonometry :

Tanθ = opposite / Adjacent

Tan 2 = h / 804

h = tan 2 * 804

h = 28.076 feets

Using h, we can obtain the distance CB :

Tan θ = opposite / Adjacent

Tan 2 = 28.076 / CB

CB = 28.076 / Tan 12°

CB = 132.08860 feets

Distance between A and B

804 - 132.08860

= 671.9 feets

Based on the table, a possible taxable income for a taxpayer filing with the Single filing status is $50,000.

Taxation can be defined as the involuntary (compulsory) fees that are levied on individuals or business firms by the government of a particular country, so as to generate revenues that can be used to fund public institutions and activities.

Based on the table, the range of income for a married couple that is filing singly in the 25% federal income tax bracket is $33,950 to $82,250.

This ultimately implies that, a possible taxable income for a taxpayer filing with the Single filing status is $50,000.

Read more on tax here: https://brainly.com/question/25783927

Answer:

$137,050

Step-by-step explanation:

That is the correct answer on the test.

Answer:

The number of the sequence are 2, 3, 6, 15

The difference between 2 and 3 is 1 i.e. 30.

The difference between 3 and 6 is 3 i.e. 31.

The difference between 6 and 15 is 9 i.e. 32.

Let the next number in the given sequence be some natural number x.

Now, following the pattern, the difference between 15 and x has to be equal to 33=27.

i.e.

x−15=27⟹x=27+15=42

Hence

The next number in the sequence is 42.

Answer:

The answer is 14.

Step-by-step explanation:

All you had to do was add all the amount of students that scored 80 to 100 and you would have got your answer.

[tex]\sf\purple{The\: square\: root \:of \:50\: is\: 5√2.}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\blue{Step-by-step\:explanation}}{\blue{:}}}}}[/tex]

Error made by Jaclyn ⤵

[tex] \sqrt{50} [/tex]

[tex]\sf\red{=\:2√25}[/tex] ❌

Correct way to solve it ⤵

[tex] \sqrt{50} \\ \\ = \sqrt{5 \times 5 \times 2} \\ \\ = \sqrt{ {5}^{2} \times 2} \\ \\ = \sqrt{ {5}^{2} } \times \sqrt{2} \\ \\ = 5 \sqrt{2} \\ \\ (∵ \sqrt{ {a}^{2} } = a)[/tex]

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

Answer:

Y=3

Step-by-step explanation:

-8 times 3 equals -24

Answer:

y = -3

Step-by-step explanation:

-24 = 8y

Divide both side by 8

-24/8 = 8y/8

-24/8 = y

divide -24 by 8 to get -3

-3 = y

rewrite ..( optional )

y = -3

Answer:

oiie4546

Step-by-step explanation:

Answer:

-9/10

Step-by-step explanation:

12/20 - 30/20

Since the denominators are the same, we can subtract the numerators

12-30 = -18

Put this over the denominator

-18/20

Simplify by dividing the top and bottom by 2

-9/10

Answer:

B yes

Step-by-step explanation:

As long as a verticle line intercepts the graph at no more than one point it is a function

Answer:

B. Yes, because it passes the vertical line test

Step-by-step explanation:

no x values are repeated

Answer:

it is 2mm long

Step-by-step explanation:

16x0.125=2 so it is 2mm long

Answer:

option B : Upen

Step-by-step explanation:

To find who saves the greatest. Find who spent the least.

That is find the smallest of these fractions.

To find the smallest among the fraction:

Step 1 : make the denominators the same.

Step 2 : to make denominators same find LCM of 8, 4, 3, 6

Step 3: LCM = 24

[tex]\frac{7}{8}\ , \frac{3}{4} \ , \frac{2}{3} \ , \frac{5}{6}[/tex]

[tex]\frac{7 \times 3}{8 \times 3}, \ \frac{3 \times 6}{4 \times 6} , \ \frac{2 \times 8 }{ 3 \times 8} ,\ \frac{5 \times 4}{6 \times 4}\\\\\frac{21}{24}, \ \frac{18}{24}, \ \frac{16}{24}, \ \frac{20}{24}\\\\Arranging\ the \ fractions \ in \ ascending \ order \ to \ find \ the \ least \ spent .\\\\\\frac{16}{24} , \ \frac{18}{24} , \ \frac{20}{24}, \frac{21}{24}[/tex]

So 2/3 is the smallest fraction,  which means 2/3 spent the least amount from the salary.

Therefore, Upen saves the greatest amount every month.

Answer:

Step-by-step explanation:

3 + 5 +7 +9 + 11 + ....

n = 100

a = 3

d = 5 - 3 = 2

[tex]S_{n}=\frac{n}{2}(2a + (n-1)d)\\\\S_{100}=\frac{100}{2}(2*3+99*2)\\\\=50*(6+198)\\\\= 50 * 204\\= 10200\\[/tex]

Answer:

4 muffins is $2.75

4*3=12

1 dozen is 12

2.75 * 3 =$ 8.25

Step-by-step explanation:

Answer:

1/5

Step-by-step explanation:

20/100

Divide the top and bottom by 20

20/20 =1

100/20 =5

20/100 = 1/5

20/100

Divide the top and bottom by 20

20/20 =1

100/20 =5

20/100 = 1/5

[tex] \tt \: \verified \: \: \: \red{ \checkmark}[/tex]

Answer:

m∠QRS = 139°

Step-by-step explanation:

yes

Answer: 35 meters got it right on TTM

Answer:

She walked for 46 minutes

Step-by-step explanation:

Given

When she leaves home

[tex]h = 7am[/tex]

[tex]\theta_1 = 110^o[/tex]

When she arrives at school

[tex]H = 8am[/tex]

[tex]\theta_2 = 110^o[/tex]

Required

Time to walk to school

First, we convert [tex]\theta_1 = 110^o[/tex] to minutes:

[tex]\theta_1 = \frac{110}{6}[/tex]

[tex]\theta_1 = 18.33[/tex]

[tex]\theta_1 = 18[/tex] --- approximated

From the question, we understand that she left home past 7.

This means that the difference between the hour hand (at 7) and the minutes hand is 18 minutes.

Also, the minute hand is between 0 and 30 minutes

Subtract 18 minutes from 30 minutes;

[tex]Mins = 30-18=12[/tex]

She left home at 7:12am

Similarly;

[tex]\theta_2 = \theta_1 = 18\ mins[/tex]

From the question, we understand that she arrived before 8.

This means that the difference between the hour hand (at 8) and the minutes hand is 18 minutes

Also, the minute hand is between 30 and 60 minutes mark.

At the 8hour hand, the minutes is 40

Add 18 minutes from 40 minutes;

[tex]Mins = 40 + 18 = 58[/tex]

She arrived at 7:58am

The difference (d) is:

[tex]d =7:58am - 7:12am[/tex]

[tex]d =46[/tex]

Answer:

See below for answer and explanations (as well as an attached graph)

Step-by-step explanation:

Pay attention to the behavior of the asymptotes. If the asymptotes are approaching a certain x-value or y-value, then that value is undefined for the function.

Take for example [tex]y=\frac{1}{x}[/tex]:

See the graph for a visual.

Answer: The value of y is 8

Step-by-step explanation:

Since we know x=2 we can sub in 2 for x in the equation

y=2(2)+4

y=4+4

y=8

Answer:

x = 40

Step-by-step explanation:

< PQR = 180° - (84° + 56°)

= 40°

so x = 40° (corresponding angles QP// RT)

Answer:

6/5

Step-by-step explanation:

1/5 + (2/5 + 3/5)

solve for the bracket first

1/5 +(2+3/5)

1/5 + (5/5)

1/5 + 1

1+1*5/5

6/5

another method

1/5 + (2/5 +3/5)

open brackets)

1/5 + 2/5 + 3/5

since their denominator are same u can add their numerator

1+2+3/5

6/5

Answer:

Here, given

g(x) = √x

h(x) = x³-1

For gh(4) , we have to find gh(x), so,

gh(x) = g(x³-1)

        =√x³-1 [Note⇒root is both for x³ and 1]

Now,

gh(4) = √4³-1

        = 3√7 or 7.9

Hope it helps!