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Yuki888 [10]
4 years ago
13

The volume of a sphere with a radius of 5 (in terms of pi) is ?

Mathematics
2 answers:
Anna [14]4 years ago
7 0

Answer:

523.6

Volume of Sphere is V=4 /3πr3

xxTIMURxx [149]4 years ago
7 0
500/3 pi cubic feet
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The application of scientific knowledge to solve problems or create new products is inter dependant with curiosity


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Genotypes usually involve some combination of dominant and recessive alleles. What is the most common inheritance pattern?​
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Genotype is the genetic composition of an organism. Alleles are the alternative forms of a gene, they can either be dominant alleles (masks the other allele) or recessive alleles (masked by the dominant allele when present). Autosomal dominant and the autosomal recessive are the most common inheritance patterns. 
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A playground is being designed where children can interact with their friends in certain combinations. If there is 1 child, ther
mariarad [96]
<h2>Answer:</h2>

<em><u>Recursive equation for the pattern followed is given by,</u></em>

a_{n}=a_{n-1}+(n-1)^{2}

<h2>Step-by-step explanation:</h2>

In the question,

The number of interaction for 1 child = 0

Number of interactions for 2 children = 1

Number of interactions for 3 children = 5

Number of interaction for 4 children = 14

So,

We need to find out the pattern for the recursive equation for the given conditions.

So,

We see that,

a_{1}=0\\a_{2}=1\\a_{3}=5\\a_{4}=14\\

Therefore, on checking, we observe that,

a_{n}=a_{n-1}+(n-1)^{2}

On checking the equation at the given values of 'n' of, 1, 2, 3 and 4.

<u>At, </u>

<u>n = 1</u>

a_{n}=a_{n-1}+(n-1)^{2}\\a_{1}=a_{1-1}+(1-1)^{2}\\a_{1}=0+0=0\\a_{1}=0

which is true.

<u>At, </u>

<u>n = 2</u>

a_{n}=a_{n-1}+(n-1)^{2}\\a_{2}=a_{2-1}+(2-1)^{2}\\a_{2}=a_{1}+1\\a_{2}=1

Which is also true.

<u>At, </u>

<u>n = 3</u>

a_{n}=a_{n-1}+(n-1)^{2}\\a_{3}=a_{3-1}+(3-1)^{2}\\a_{3}=a_{2}+4\\a_{3}=5

Which is true.

<u>At, </u>

<u>n = 4</u>

a_{n}=a_{n-1}+(n-1)^{2}\\a_{4}=a_{4-1}+(4-1)^{2}\\a_{4}=a_{3}+9\\a_{4}=14

This is also true at the given value of 'n'.

<em><u>Therefore, the recursive equation for the pattern followed is given by,</u></em>

a_{n}=a_{n-1}+(n-1)^{2}

3 0
3 years ago
The formula for the circumference of a circle is c=2pir where r is the radius and c is the circumference. The equation r is r=c/
photoshop1234 [79]

Answer:

r = 8

Step-by-step explanation:

The circumference of a circle is given by :

C=2\pi r ...(1)

We need to find the value of r when C = 16π

Solving equation (1)

r=\dfrac{C}{2\pi}\\\\r=\dfrac{16\pi}{2\pi}\\\\r=8

So, the value of r is 8. Hence, the correct option is (b).

3 0
3 years ago
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