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Romashka [77]
3 years ago
15

(1 point) Find an equation of the largest sphere with center (5,3,5)(5,3,5) and is contained in the first octant. Be sure that y

our formula is monic. Equation:
Mathematics
1 answer:
Hoochie [10]3 years ago
8 0

Answer:

x^2+y^2+z^2-10x-6y-10z +50 =0

Step-by-step explanation:

Given that a sphere is contained in the first octant

Centre of the sphere is given as (5,3,5)

Since this is contained only in the first octant radius should be at most sufficient to touch any one of the three coordinate planes

When it touches we can get the maximum sphere

We find that y coordinate is the minimum of 3 thus radius can be atmost 3 so that then only it can touch y =0 plane i.e. zx plane without crossing to go to the other octants.

Hence radius =3

Equation of the sphere would be

(x-5)^2 +(y-3)^2+(z-5)^2 = 3^2\\x^2+y^2+z^2-10x-6y-10z +50 =0

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David goes into a candy store with $5.00. He buys 9 peppermints for $0.15 each and some sour candies. Each sour candy costs $0.2
Agata [3.3K]

Answer:

5 ≥ 9*.15 + x*.25

He can buy up to 14 candies

Step-by-step explanation:

Total money ≥number of peppermints * cost per peppermint + number of sour candies * cost per sour candy

We know he has 5 dollars.  He bought 5 peppermints at $.15 cents each and x sour candies at $.25 each

Substituting in

5 ≥ 9*.15 + x*.25

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Subtract 1.35 on each side

5-1.35 ≥ 1.35-1.35+.25x

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Divide by .25 on each side

3.65/.25 ≥ .25x/.25

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3 years ago
What is 3/8 + 1/8?? Please help its for a test
Grace [21]

Answer:

1/2 is the answer

Step-by-step explanation:

3 0
3 years ago
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In Davidson Corporation, the first shift produced 8½ times as many lightbulbs as the second shift. If the total lightbulbs produ
Diano4ka-milaya [45]

8 1/2=17/2=8.5

24,700 divided by 8.5=2,905,8823

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3 years ago
Wich is equivalent to 12(3 2/3)!?
Lemur [1.5K]

Answer:

1/5 = 2/10 = 3/15 = 4/20

= 5/25 = 6/30 = 7/35 = 8/40

= 9/45 = 10/50 = 11/55 = 12/60

= 13/65 = 14/70 = 15/75 = 16/80

= 17/85 = 18/90 = 19/95 = 20/100

= 21/105 = 22/110 = 23/115 = 24/120

= 25/125 = 26/130 = 27/135 = 28/140

= 29/145 = 30/150 = 31/155 = 32/160

= 33/165 = 34/170 = 35/175 = 36/180

= 37/185 = 38/190 = 39/195 = 40/200

= 41/205 = 42/210 = 43/215 = 44/220

= 45/225 = 46/230 = 47/235 = 48/240

= 49/245 = 50/250 = 51/255 = 52/260

= 53/265 = 54/270 = 55/275 = 56/280

= 57/285 = 58/290 = 59/295 = 60/300

= 61/305 = 62/310 = 63/315 = 64/320

= 65/325 = 66/330 = 67/335 = 68/340

= 69/345 = 70/350 = 71/355 = 72/360

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= 77/385 = 78/390 = 79/395 = 80/400

= 81/405 = 82/410 = 83/415 = 84/420

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Step-by-step explanation:

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Help needed ASAP will give BRAINLIEST not a real test
sineoko [7]

Answer:

I got 20

Step-by-step explanation:

The chance of getting less than 3 is 2/6.

If she rolls the dice 60 times, that means you have to multiply 2/6 by 60.

The answer you would get is 20.

3 0
3 years ago
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