Use the disk method or the shell method to find the volumes of the solids generated by revolving the region bounded by the graphs of the equations about the given lines. y = √x, y = 2, x = 0.

a. the x-axis
b. the line y = 2
c. the y-axis
d. the line x = -1

Hi my name is Fabian and 69% because 69 is a man which is multi colour hair

Let x represent the full area if Mary's garden.

Mary plants roses in 1/4 of her garden. This means that the portion of the garden on which she planted roses would be 1/4 × x = x/4

She also plants some tulips in her garden. She has 1/12 of the garden left to plant more flowers. This means that the portion if the garden that she has left to plant more flowers would be 1/12 × x = x/12

The portion of the garden on which she planted tulips would be

x - (x/4 + x/12) = x - (3x + x)/12 = x - 4x/12

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

Therefore, the fraction of Mary's garden that has tulips would be

(2x/3) /x = 2/3

Answer:

The answer is in the picture.

15cm²

Answer:

There are 54 in total because if you add them all it gets you 54

Answer:

Scale of the drawing would be 20/12 inch and 0.6 (6/12) inch

Step-by-step explanation:

For most of the residential buildings an scale of 1 inch = 12 feet can be used to draw the residential units.

In that case the scale of the drawing would be 20/12 inch and 0.6 (6/12) inch

Dave should label the dimensions in inches

The answer is 1/x^2y^2

The given expression is [tex] \frac{ {x}^{0} y { - }^{3} }{ {x}^{2}y { - }^{1} } [/tex]

We know that any number raised with zero power equals 1. Thus, [tex] {x}^{0} = 1[/tex]

Hence, the expression becomes

[tex] \frac{y { - }^{3} }{ {x}^{2} y { - }^{1} } [/tex]

Now, apply the quotient rule,[tex] \frac{ {x}^{ \alpha } }{ {x}^{b} } = {x}^{ \alpha - b} [/tex]

Using this rule, we have

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

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

Hence, the simplified expression is [tex] \frac{1}{ {x}^{2} {y}^{2} } [/tex]

Answer:

Step-by-step explanation:

There are four axioms to prove the triangles are contruent.They are

SSS(side side side axiom)

SAS(side angle side axiom)

AAS(angle angle side axiom)

ASA(angle side angle axiom)

RHS (right angle hypotenuse side axiom)

here two triangles are congruent by RHS axiom

Answer:

D

Step-by-step explanation:

+1 and -1 change the x postion

Hope this help!!!

Have a nice day!!!

Answer:

$3360

Step-by-step explanation:

4200(.80) = 3360

anything less than 1.00 will be a decreasing amount, so i just took the 80% and put it as a decimal and multiplied to find the current cost of the car

9514 1404 393

Answer:

  zero solutions

Step-by-step explanation:

The first inequality has a boundary line with a slope of 3 and a y-intercept of 9. Shading is above the boundary line.

The second inequality has a parallel boundary line with a slope of 3 and a y-intercept somewhat lower, at -1. Shading is below this boundary line.

There is a gap between the shaded areas, so no points will be solutions to both inequalities.

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Explanation:

For any two vectors defined as follows

u = <a,b>

v = <c,d>

the dot product is computed by

u dot v = a*c + b*d

If the dot product of the vectors is 0, then the vectors are orthogonal. Meaning they are perpendicular to one another.

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Let's find the dot product of these two given vectors

u = < 2, -4 >

v = < 6, 3 >

u dot v = 2*6 + (-4)*3

u dot v = 12 - 12

u dot v = 0

Therefore, these two vectors form a right angle and are orthogonal

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Extra info:

If we can show that u = <a, b> and v = <ka, kb> for some real number k, then we have shown that vectors u and v are parallel.

Answer:

If the null hypothesis is rejected, the interpreatation is that there is significant evidence at the desired significance level to conclude that the mean time the students study at her university is of more than 4.9 hours.

Step-by-step explanation:

The dean of a major university claims that the mean number of hours students study at her University (per day) is at most 4.9 hours.

At the null hypothesis, we test if the mean is of at most 4.9 hours, that is:

[tex]H_0: \mu \leq 4.9[/tex]

At the alternative hypothesis, we test if the mean is more than 4.9 hours, that is:

[tex]H_1: \mu > 4.9[/tex]

Accepting the null hypothesis:

If the null hypothesis is accepted, the interpretation is that there is not significant evidence to conclude that the mean time the students study at her university is of more than 4.9 hours.

Rejecting the null hypothesis:

As is the case in this question, if the null hypothesis is rejected, the interpreatation is that there is significant evidence at the desired significance level to conclude that the mean time the students study at her university is of more than 4.9 hours.

Using trigonometry solve for h and d.

H :

Sin(60) = h/120

H = 120 x sin(60)

H = 103.9 = 104 feet

D:

Cos(60) = d/120

D = 120 x cos(60)

D = 60 feet

The correct answers:

A. D = 60 ft.

C. H = 104 ft

Answer:

45 is 54.9 percent of 82.

26 is 520% of 5.

Answer:

45 is 55% of 82 and 520% of 5 is 26.

Step-by-step explanation:

First you want to set up a proportion, using the is over of formula (Is/of= %/100). In the first problem, 45 will be the is, 82 will be the of, for % will be the x, and 100 will go on the bottom (it will look something like this: 45/82=x/100). When you solve it, you get around 55 (45x100/82.) Same thing for the next equation, use the same formula (is/of=%/100) which turns into: 5/26= x/100 and you get 520%.

Answer:

12

Step-by-step explanation:

Just substitute 3 for n and solve.

Solve the expression [tex]2+(3-1)5\\[/tex]

Use PEMDAS and solve.

(3-1) = 2 so it becomes 2 + (2)5

Then multiply 2 and 5 to get 10.

Then add 2 so you get 12.

[tex]a_{3}[/tex]=12

An angle of depression is measured from the horizon downwards and an angle of elevation is measured from the horizon upwards.

When solving for the sides or angles of a right triangle you can use trigonometry. The sine of an angle is found by the ratio of the opposite side and the hypotenuse. The cosine of an angle is found by the ratio of the adjacent side and the hypotenuse. The tangent of an angle is found by the ratio of the opposite side and the adjacent side.

The opposite side is always the leg opposite the angle that you are using. The adjacent side is the leg that forms one of the sides of the angle you are talking about and the hypotenuse is always across from the right angle.

If you know two lengths you can find the third leg length by using the Pythagorean Theorem.

Answer:

8,-9,9

Step-by-step explanation:

OPTION C is the correct answer.

Answer:

(-∞, - 2/3)

Step-by-step explanation:

Given the inequality :

6x-9≤3x-11

Collect like terms :

6x - 3x ≤ - 11 + 9

3x ≤ - 2

Divide both sides by 3

3x/3 ≤ - 2/3

x ≤ - 2/3

(-∞, - 2/3)

Answer:

21.2

Step-by-step explanation:

BODMAS : First bracket, then Division then multiplication.

[tex]53 \div (13-8) \times 2\\53 \div 5 \times 2\\10.6 \times 2\\21.2[/tex]

Answer:

x = -5

Step-by-step explanation:

the answer is -5 sussy baka

This is because all points are on, or nearly on, the same straight line that has a negative slope. We consider this close to or nearly perfect negative linear correlation.

Side note: The r value and slope are both negative, but they aren't equal to one another.

Answer:

x = 40

Step-by-step explanation:

Two triangles are similar so we can use similarity ratio to find x

x/16 = 35/14 cross multiply expressions

14x = 560 divide both sides by 14

x = 40

Answer:

Both are correct

I'm only checking the first page

Step-by-step explanation:

Answer:

Step-by-step explanation:

The 3rd page both are wrong the correct answers are 6 degrees C and Ice would form on the top of the lake like it does now.

The 4th page the bottom one is wrong the correct answer is -22.

Answer:

[tex]4/12=x/18[/tex]

[tex]x=4*18/12[/tex]

[tex]x=6[/tex]

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hope it helps...

have a great day!!

Answer:-7

Step-by-step explanation: -3^3+ 2

-9+2= -7