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Illusion [34]
4 years ago
13

PLEASE HELP 12 POINTS

Mathematics
2 answers:
Rus_ich [418]4 years ago
6 0

Answer:

$2750000

Step-by-step explanation:

All we have to do is find 22% of the total budget, which is $12,500,000.

So, 22% * $12500000 --> 0.22 * $12500000 --> $2750000

Ahat [919]4 years ago
3 0

To find the answer, you have to find 22% of the total amount of money in the budget. The budget is 12,500,000, so 22% of that would be 12,500,000*22/100=12,500,000*.22=2,750,000

$2,750,000 is dedicated to research.

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Find the volume of the largest circular cone that can<br> beinscribed in a shpere of radius 3.
Aleksandr [31]

Answer:

V =\dfrac{32}{3}\pi

Step-by-step explanation:

given,

radius of sphere = 3

volume of cone:

V = \dfrac{1}{3}\pi r^2h

r is the radius of circular base

h is the height of the cone

here r = x and h = 3 + y

now, volume in term of x and y

V = \dfrac{1}{3}\pi x^2(3+y)

Applying Pythagoras theorem

x² + y² = 3²

x = \sqrt{9-y^2}

V = \dfrac{1}{3}\pi ( \sqrt{9-y^2})^2(3+y)

V = \dfrac{1}{3}\pi ( 9-y^2)(3+y)

V = \dfrac{1}{3}\pi (27 + 9 y - 3 y^2-y^3)

differentiating both side

\dfrac{dV}{dy} =\dfrac{1}{3}\pi ( 9-6y- 3y^2)

for maxima  \dfrac{dV}{dy} = 0

\pi ( 3-2 y - y^2)=0

 y² + 2 y - 3 = 0

(y+3)(y-1)=0

 y = 1,-3

y cannot be negative so, volume at y = 1

V = \dfrac{1}{3}\pi (27 + 9 (1)- 3(1)^2-(1)^3)

V =\dfrac{32}{3}\pi

Hence, the largest cone which can be inscribed in the spheres of the radius 3 has volume  V =\dfrac{32}{3}\pi

5 0
3 years ago
What is an equation of the line that passes through the points (4, 3) and (-6, 3)?
kodGreya [7K]

Answer:

Step-by-step explanation:

(4,3)(-6,3)

3-3/-6-4

m=0

y=3

6 0
3 years ago
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What is 7 times the 6th power?
Sidana [21]
7^6 = 117,649
7 x 7 x 7 x 7 x 7 x 7 = 117,649
5 0
3 years ago
Help Me Please! I will answer some of your questions :)
vladimir1956 [14]
#6 is c


Then on the sheet with 6 questions on it it's

1. a
2. b
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4 0
3 years ago
What are the solutions to the equation x^2-4x-5=0?
gregori [183]

Answer:

x = 5 ,  − 1

Step-by-step explanation:

8 0
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