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notka56 [123]
2 years ago
15

A spherical boulder is 20 feet in diameter and weight almost 8 tons.Find its volume.Use 3.14 for T round to the nearest whole nu

mber.
Mathematics
1 answer:
olya-2409 [2.1K]2 years ago
3 0

Answer:

4187 ft³

Step-by-step explanation:

\frac{4}{3}πr³

π = 3.14

r = radius

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

diameter = 2r

Radius = 20 / 2 = 10 feet

(4/3) x 3.14 x 10³ = 4187 ft³

You might be interested in
72
Zigmanuir [339]

Answer:

Ai. Arithmetic sequence

Aii. Tn = 5 + 7n

Bi. Geometric

Bii. Tn = 8 × 2ⁿ¯¹

Step-by-step explanation:

To successfully answer the questions given above, note the following:

1. If the sequence is Arithmetic, then:

2nd – 1st = 3rd – 2nd = common difference (d)

2. If the sequence is geometric, then,

2nd / 1st = 3rd / 2nd = common ratio (r)

3. A sequence can not be arithmetic geometric at the same time.

4. The nth term of arithmetic sequence is:

Tn = a + (n – 1)d

5. The nth term of geometric sequence is:

Tn = arⁿ¯¹

A. Sequence => 12, 19, 26

i. Determination of the type of sequence.

We'll begin by calculating the common difference

1st term = 12

2nd term = 19

3rd term = 26

Common difference (d) = 2nd – 1st

d = 19 – 12 = 7

OR

d = 3rd – 2nd

d = 26 – 19 = 7

Since a common difference exist in the sequence, the sequence is arithmetic sequence.

ii. Determination of the nth term.

Common difference (d) = 7

1st term (a) = 12

nth term (Tn) =?

Tn = a + (n – 1)d

Tn = 12 + (n – 1)7

Tn = 12 + 7n – 7

Tn = 5 + 7n

B. Sequence => 8, 16, 32

Bi. Determination of the type of sequence.

Let us begin by calculating the common ratio.

1st term = 8

2nd term = 16

3rd term = 32

Common ratio (r) = 2nd / 1st

r = 16 / 8

r = 2

OR

r = 3rd / 2nd

r = 32 / 16

r = 2

Since a common ratio exist in the sequence, the sequence is geometric.

Bii. Determination of the nth term.

Common ratio(r) = 2

1st term (a) = 8

nth term =?

Tn = arⁿ¯¹

Tn = 8 × 2ⁿ¯¹

8 0
2 years ago
I need help I don’t know how that’s not right.
Leviafan [203]

Answer: v=-81.92

Step-by-step explanation:

\displaystyle\\7+\frac{v}{8} =-3.24\\\\7+\frac{v}{8}-7 =-3.24-7\\\\\frac{v}{8} =-10.24\\\\\frac{v}{8} =-10.24

Multiply both parts of the equation by 8:

\displaystyle\\(\frac{v}{8})(8)=(-10.24)(8) \\\\v=-81.92

6 0
9 months ago
The distance D that a spring is stretched by a hanging object varies directly as the weight W of the object. if a 9-kg object st
sergiy2304 [10]

Answer:

I think it is b

Step-by-step explanation:

7 0
3 years ago
Unknown to a medical researcher, 6 out of 25 patients have a heart problem that will result in death if they receive the test dr
Fiesta28 [93]

Using the hypergeometric distribution, it is found that there is a 0.0002 = 0.02% probability that exactly 6 patients will die.

<h3>What is the hypergeometric distribution formula?</h3>

The formula is:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • N is the size of the population.
  • n is the size of the sample.
  • k is the total number of desired outcomes.

The values of the parameters for this problem are:

N = 25, k = 6, n = 8.

The probability that exactly 6 patients will die is P(X = 6), hence:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}

P(X = 6) = h(6,25,8,6) = \frac{C_{6,6}C_{19,2}}{C_{25,8}} = 0.0002

0.0002 = 0.02% probability that exactly 6 patients will die.

More can be learned about the hypergeometric distribution at brainly.com/question/24826394

#SPJ1

8 0
1 year ago
6. y = -3x + 2<br> y = -3x - 7
Mkey [24]

Answer:

No Solution.

Step-by-step explanation:

y=-3x+2

y=-3x-7

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

-3x+2=-3x-7

-3x-(-3x)+2=-7

-3x+3x+2=-7

2=-7

no solution

8 0
2 years ago
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