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dusya [7]
3 years ago
8

Find the radius of a sphere with a volume of 4.5π cubic centimeters.

Mathematics
1 answer:
ArbitrLikvidat [17]3 years ago
3 0

Answer:

r≈1.02

Step-by-step explanation:

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How do I find the mass of 250.0mL
kupik [55]

Answer:

  mass = density · volume

Step-by-step explanation:

To find the mass of a given volume, multiply your given volume by the <em>density</em>. Often, density is given in grams per cubic centimeter. 1 cubic centimeter is the same as 1 milliliter.

4 0
3 years ago
let x1,x2, and x3 be linearly independent vectors in R^(n) and let y1=x2+x1; y2=x3+x2; y3=x3+x1. are y1,y2,and y3 linearly indep
Nutka1998 [239]

Answer with Step-by-step explanation:

We are given that

x_1,x_2 and x_3 are linearly independent.

By definition of linear independent there exits three scalar a_1,a_2 and a_3 such that

a_1x_1+a_2x_2+a_3x_3=0

Where a_1=a_2=a_3=0

y_1=x_2+x_1,y_2=x_3+x_2,y_3=x_3+x_1

We have to prove that y_1,y_2 and y_3 are linearly independent.

Let b_1,b_2 and b_3 such that

b_1y_1+b_2y_2+b_3y_3=0

b_1(x_2+x_1)+b_2(x_3+x_2)+b_3(x_3+x_1)=0

b_1x_2+b_1x_1+b_2x_3+b_2x_2+b_3x_3+b_3x_1=0

(b_1+b_3)x_1+(b_2+b_1)x_2+(b_2+b_3)x_3=0

b_1+b_3=0

b_1=-b_3...(1)

b_1+b_2=0

b_1=-b_2..(2)

b_2+b_3=0

b_2=-b_3..(3)

Because x_1,x_2 and x_3 are linearly independent.

From equation (1) and (3)

b_1=b_2...(4)

Adding equation (2) and (4)

2b_1==0

b_1=0

From equation (1) and (2)

b_3=0,b_2=0,b_3=0

Hence, y_1,y_2 and y_3 area linearly independent.

5 0
3 years ago
the area of the surface of the swimming pool is 210 feet . what is the length d of the deep end ( in feets )?
zlopas [31]
<span>this is how i did it
 10(9)(d)= 210
  90d= 210
  d=2.3 feet.</span>
3 0
3 years ago
Leona has a large bag of apples. There are 180 apples in the bag. She uses 14of the apples to make some juice. She uses 20% of t
andreev551 [17]

Answer:

132.8 are left enjoy

7 0
2 years ago
Cate and Elena were playing a card game. The stack of cards in the middle had 24 cards in it to begin with. Cate added 8 cards t
Yuki888 [10]
You start with 24, there are 8 added, there are 12 taken away, then 9 are taken away. The equation looks like:
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7 0
3 years ago
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