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WARRIOR [948]
2 years ago
6

Yesterday's World Cup final had viewing figures of 138,695,157. What is the value of the 3?

Mathematics
1 answer:
crimeas [40]2 years ago
8 0

Answer:

The value of the 3 is 30,000,000.

Step-by-step explanation:

From the digit at the right, you go multiplying each element by 10 powered to a counter that starts at zero and increases at every digit. So:

Our counter is i

i = 0;

v(7) is the value of the 7

v(7) = 7*10^{0} = 7

i = 1;

v(5) is the value of the 5

v(5) = 5*10^{1} = 50

i = 2;

v(1) is the value of the 1

v(1) = 1*10^{2} = 100

i = 3;

v(5) is the value of the 5

v(5) = 5*10^{3} = 5,000

i = 4;

v(9) is the value of the 9

v(9) = 9*10^{4} = 90,000

i = 5;

v(6) is the value of the 6

v(6) = 6*10^{5} = 600,000

i = 6;

v(8) is the value of the 8

v(8) = 8*10^{6} = 8,000,000

i = 7;

v(3) is the value of the 3

v(3) = 3*10^{7} = 30,000,000

The value of the 3 is 30,000,000.

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Answer:

The no. of possible handshakes takes place are 45.

Step-by-step explanation:

Given : There are 10 people in the party .

To Find: Assuming all 10 people at the party each shake hands with every other person (but not themselves, obviously) exactly once, how many handshakes take place?

Solution:

We are given that there are 10 people in the party

No. of people involved in one handshake = 2

To find the no. of possible handshakes between 10 people we will use combination over here

Formula : ^nC_r=\frac{n!}{r!(n-r)!}

n = 10

r= 2

Substitute the values in the formula

^{10}C_{2}=\frac{10!}{2!(10-2)!}

^{10}C_{2}=\frac{10!}{2!(8)!}

^{10}C_{2}=\frac{10 \times 9 \times 8!}{2!(8)!}

^{10}C_{2}=\frac{10 \times 9 }{2 \times 1}

^{10}C_{2}=45

No. of possible handshakes are 45

Hence The no. of possible handshakes takes place are 45.

4 0
2 years ago
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Answer:

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Presumably you should be doing this using calculus methods, namely computing the surface integral along \mathbf r(u,v).

But since \mathbf r(u,v) describes a sphere, we can simply recall that the surface area of a sphere of radius a is 4\pi a^2.

In calculus terms, we would first find an expression for the surface element, which is given by

\displaystyle\iint_S\mathrm dS=\iint_S\left\|\frac{\partial\mathbf r}{\partial u}\times\frac{\partial\mathbf r}{\partial v}\right\|\,\mathrm du\,\mathrm dv

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as expected.
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2 years ago
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