A man finished 2/3 of a project in 4hours. Working at the same rate, how long will it take him to finish 5/6 of the same project?

Answer:

It would be 93 remainder 3/the second one.

Answer:

[tex]x = \frac{1}{28} y^{2}[/tex]

Step-by-step explanation:

parabola equation with vertex (0 , 0) and focus length |f| = 7

4*f*(x - h) = (y - k)²

4*7*(x-0)=(y-0)²

28x = y²

[tex]x = \frac{1}{28} y^{2}[/tex]

Answer:

21. 123    22. 6.86 or 6/ 6/7  23. 90

Step-by-step explanation:

21. (6+4)² + (22+10÷2)

     (10)² + (22 + 5)

        100 + 27

           127

22. (11+42-5) ÷ (11-4)

         48 ÷ 7

        6.85 or 6 6/7

23. (17-3) × (14 - 6) -22

         14 × 8 - 22

         112 - 22

           90

Answer:

130º

Step-by-step explanation:

a line is 180º so if one angle is 50 then it's just 180-50

Parameterize this surface by

r (u, v) = 9 cos(u) sin(v) i + 9 sin(u) sin(v) j + 9 cos(v) k

with 0 ≤ u ≤ 2π and 0 ≤ v ≤ arccos(4/9)

See the attached sketch to see how we arrive at the upper limit for v.

Take the normal vector to the surface to be

n = ∂r/∂u × ∂r/∂v

n =  -81 cos(u) sin²(v) i -  81 sin(u) sin²(v) j - 81 sin(v) cos(v) k

which has magnitude

||n|| = 81 sin(v)

Then the surface area is

[tex]\displaystyle \iint_S \|\mathbf n\| \,\mathrm du\,\mathrm dv = 81 \int_0^{2\pi} \int_0^{\arccos(4/9)} \sin(v)\,\mathrm dv\,\mathrm du \\\\ = 162\pi \int_0^{\arccos(4/9)} \sin(v)\,\mathrm dv \\\\ = -162\pi (\cos\left(\arccos\left(\frac49\right) - \cos(0)\right) \\\\ = 162\pi \left(1 - \dfrac49\right) \\\\ = \boxed{90\pi}[/tex]

If you're not familiar with surface integrals, you can instead use what's sometimes called the projection method. Let

z = f(x, y) = √(81 - x ² - y ²)

(where we take the positive square root because we're looking at a part of the top half of the sphere)

Projecting the surface down onto the (x, y)-plane, we see that it casts a "shadow" of a disk with radius √(9² - 4²) = √65. (Use the Pythagorean theorem to solve for the missing side of the triangle in the sketch.)

Then the surface S considered above is hovering over the set in the (x, y)-plane,

D = {(x, y) : x ² + y ² ≤ 65}

The area is then

[tex]\displaystyle \iint_D \sqrt{1 + \left(\dfrac{\partial f}{\partial x}\right)^2 + \left(\dfrac{\partial f}{\partial y}\right)^2} \,\mathrm dx\,\mathrm dy[/tex]

It's easier to compute this integral in polar coordinates, so we take

x = r cos(t )

y = r sin(t )

dx dy = r dr dt

and the region D is given by the set

{(r, t ) : 0 ≤ r ≤ √65 and 0 ≤ t ≤ 2π}

Then the integral would be

[tex]\displaystyle \iint_D \sqrt{1 + \left(\dfrac{\partial f}{\partial x}\right)^2 + \left(\dfrac{\partial f}{\partial y}\right)^2} \,\mathrm dx\,\mathrm dy = \iint_D \sqrt{1 + \frac{x^2+y^2}{81-x^2-y^2}}\,\mathrm dx\,\mathrm dy \\\\ = \iint_D \sqrt{\frac{81}{81-x^2-y^2}}\,\mathrm dx\,\mathrm dy \\\\ = \int_0^{2\pi} \int_0^{\sqrt{65}} r \sqrt{\frac{81}{81-r^2}}\,\mathrm dr\,\mathrm dt[/tex]

Substitute s = 81 - r ² and ds = -2r dr :

[tex]\displaystyle \int_0^{2\pi} \int_0^{\sqrt{65}} r \sqrt{\frac{81}{81-r^2}}\,\mathrm dr\,\mathrm dt = 2\pi \int_0^{\sqrt{65}} r \sqrt{\frac{81}{81-r^2}}\,\mathrm dr \\\\ = -9\pi \int_{81}^{16} \frac{\mathrm ds}{\sqrt s} \\\\ = 9\pi \int_{16}^{81} s^{-1/2}\,\mathrm ds \\\\ = 18\pi \left(\sqrt{81} - \sqrt{16}\right) \\\\ = \boxed{90\pi}[/tex]

Answer:

6. Bobby makes more money than John

Step-by-step explanation:

John's profits

(4.2 × [tex]10^{5}[/tex]) + (3.2 × [tex]10^{6}[/tex])

= 36.2 x 10^5

= 3.62 x 10^6

Bobby's profits:

323659000 = 3.23659 x 10^8

3.23659 x 10^8 > 3.62 x 10^6

9514 1404 393

Explanation:

Of course, copying the form is the same as following the instructions telling you how to fill in the form.

Line 4 is the sum 5000 +50 = 5050.

Lines 11a and 12 are the difference 757.50 -757.50 = 0.

The total amount of money y you spent if you play x games is expressed as y = 1/30x

Given the following

Total amount of AED of coupons at Dubai Expo 2020 = 100 AED

If you spend 30 AED per game, this can be expressed as:

30 AED = 1 game

100 AED = x game

Cross multiply

30 x = 100 * 1

30x = 100

x = 100/30

x = 10/3 games

This shows that 100 AED of coupons is used for 10/3 games

100 AED = 10/3 games

y AED = x games

Cross multiply

100 x = 10/3 y

100xy = 10/3

10 xy = 1/3

30xy = 1

y = 1/30x

Hence the total amount of money y you spent if you play x games is expressed as y = 1/30x

Learn more here: https://brainly.com/question/14107099

Answer:

G. 5

Step-by-step explanation:

I've done this exam beofre

Answer:

Step-by-step explanation:

Factors:

#A

No

#B

Yes

#C

Yes

#D

No

Answer:

5

Step-by-step explanation:

i say 5 it makes more sens then the other answers

The graph which have slope 4/5 is Graph II.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

We have the graph.

As, we know slope= rise / run

In graph 1 the slope is

Slope= rise/ run

slope= 4/4

slope= 1

In graph 2 the slope is

Slope= rise/ run

Slope = 4/5

In graph 1 the slope is

Slope= rise/ run

Slope= 2/5

Thus, Graph II have slope 4/5.

Learn more about Slope here:

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Answer:

here ya go

Step-by-step explanation:

zeros at x = 1 and x = 5

Answer:

it is a answer

Step-by-step explanation:

Answer: LCM of 8, 12, and 15 is 120.

Step-by-step explanation:

I hope this helps!

Answer:

2 and 1

Step-by-step explanation:

1 is the best which can go into

8 15 and 12

Hello!

11 weeks plus 12 weeks equals the total number of weeks.

23 weeks

Hope this helps!

#HaveAnAmazingDay

[tex]GraceRosalia :)[/tex]

Answer:

it is continues

Step-by-step explanation:

it is continues

9514 1404 393

Answer:

  $3

Step-by-step explanation:

The cost that hasn't been covered by bake sale proceeds is ...

  $750 -150 = $600

If that cost is divided among 200 students, the amount each student needs to pay is ...

  $600/(200 students) = $3/student

They need to charge $3 per ticket.

Answer:

11.28 Divided by 4.7 equals 2.4.

Step-by-step explanation:

It's just simple division. Glad I could help though!

Answer:

2.4

Step-by-step explanation:

Answer:

10x - 1

Step-by-step explanation:

(x + 8) - (-9x + 9) = x + 8 + 9x - 9 = (x+9x) + (8-9) = 10x -1

The equivalent Expression is (10x- 1).

An expression in math is a sentence with a minimum of two numbers/variables and at least one math operation in it.

For example,  A number is 6 more than half the other number, and the other number is x. This statement is written as x/2 + 6 in a mathematical expression.

Given:

We have to find the difference when (-9x +9) is subtracted from (x + 8)

so, (x + 8) - (-9x + 9)

= x + 8 + 9x - 9

= (x+9x) + (8-9)

= 10x -1

Hence, the equivalent Expression is (10x- 1).

Learn more about Expression here:

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Answer:

The two digit numbers having sum equal to 8 are: 17,26,35,44,53,62,71,80.

Step-by-step explanation:

Answer:

65435675e

Step-by-step explanation:

12456764 br5654365

8x+12y=120

8 packs -> x value

12 packs -> y value

-------------------------------

total amt. of beverages is 120

Answer:

lol no34532534

Step-by-step explanation:

Answer:

square root of 25 is 5

Step-by-step explanation:

when you take the numbers that multiply together to make 25 which in this case is 5 5*5=25

Answer:

after calculating I got this answer.

hope this answer helps you dear...take care

Answer:

7°

Step-by-step explanation:

simple arithmetic duh

Answer:

1/2

hope this helps

Answer:

1/2

Step-by-step explanation:

7/18   is close to 1/2