What number is equivalent to 6.75×10^-4

Mathematics

1 answer:

Leni [432]3 years ago

4 0

Not sure what your asking but:
0.000675 is equivalent to 6.75x10^-4

hope this helps

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Estimate the value of \frac{\sqrt{2\pi }}{\sqrt{5}}

Butoxors [25]

Answer:

the exact answer is 1.98

if we rationalize denominator we get root 0f 10 times pi divided by 5

root of 10 is about 3.1 ( $\pi$ ) so we have $\frac{\pi ^{2} }{5}$ ≈ 9.6/5 = 1.92

Step-by-step explanation:

$\frac{\sqrt{2\pi }}{\sqrt{5}} * \frac{\sqrt{5 }}{\sqrt{5}}$ = $\frac{\sqrt{10} \pi }{5}$

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3 years ago

If F(x)=4x-1 and g(x)=x^2+7, what is g(f(x))

VashaNatasha [74]

Answer

$g(f(x)) = = 16 {x}^{2} - 8x + 8$

step by step Explanation

The functions given are

$f (x)= 4x- 1$

$g(x)= {x}^{2} + 7$

We want to find:

$g(f (x))= g( 4x- 1)$

This implies that

$g(f (x))= ( (4x- 1)^{2} + 7)$

Let us now simplify

$( {a - b)}^{2} = {a}^{2} -2ab + {b}^{2}$

This implies that

$( (4x- 1)^{2} + 7) =( {(4x)}^{2} - 2(4x) \times 1 + 1$

Combine the terms to get,

$= 16 {x}^{2} - 8x + 1 + 7$

$= 16 {x}^{2} - 8x + 8$