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4 years ago

What is the fractional notation of 2.4%

Mathematics

1 answer:

Vanyuwa [196]4 years ago

8 0

2.4% = 2.4/100 or as a decimal fraction 0.024.

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How do you do this I have no idea

sveta [45]

Answer:

Step-by-step explanation:

Eliminate B C and D

6 0

3 years ago

find a curve that passes through the point (1,-2 ) and has an arc length on the interval 2 6 given by 1 144 x^-6

taurus [48]

Answer:

$f(x) = \frac{6}{x^2} -8$ or $f(x) = -\frac{6}{x^2} + 4$

Step-by-step explanation:

Given

$(x,y) = (1,-2)$ --- Point

$\int\limits^6_2 {(1 + 144x^{-6})} \, dx$

The arc length of a function on interval [a,b]: $\int\limits^b_a {(1 + f'(x^2))} \, dx$

By comparison:

$f'(x)^2 = 144x^{-6}$

$f'(x)^2 = \frac{144}{x^6}$

Take square root of both sides

$f'(x) =\± \sqrt{\frac{144}{x^6}}$

$f'(x) = \±\frac{12}{x^3}$

Split:

$f'(x) = \frac{12}{x^3}$ or $f'(x) = -\frac{12}{x^3}$

To solve fo f(x), we make use of:

$f(x) = \int {f'(x) } \, dx$

For: $f'(x) = \frac{12}{x^3}$

$f(x) = \int {\frac{12}{x^3} } \, dx$

Integrate:

$f(x) = \frac{12}{2x^2} + c$

$f(x) = \frac{6}{x^2} + c$

We understand that it passes through $(x,y) = (1,-2)$ .

So, we have:

$-2 = \frac{6}{1^2} + c$

$-2 = \frac{6}{1} + c$

$-2 = 6 + c$

Make c the subject

$c = -2-6$

$c = -8$

$f(x) = \frac{6}{x^2} + c$ becomes

$f(x) = \frac{6}{x^2} -8$

For: $f'(x) = -\frac{12}{x^3}$

$f(x) = \int {-\frac{12}{x^3} } \, dx$

Integrate:

$f(x) = -\frac{12}{2x^2} + c$

$f(x) = -\frac{6}{x^2} + c$

We understand that it passes through $(x,y) = (1,-2)$ .

So, we have:

$-2 = -\frac{6}{1^2} + c$

$-2 = -\frac{6}{1} + c$

$-2 = -6 + c$

Make c the subject

$c = -2+6$

$c = 4$

$f(x) = -\frac{6}{x^2} + c$ becomes

$f(x) = -\frac{6}{x^2} + 4$

3 0

3 years ago

4. Two more than a certain number is 15 less than twice the number.

vredina [299]

Answer:

x = 17

Step-by-step explanation:

2+x = 2x-15

subtract x on both sides

2 = x -15

add 15 to both sides

17 = x

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

17+2 = 2(17)-15

19 = 34 -15

19 = 19

3 0

4 years ago

Maths help please! Volume?

drek231 [11]

Answer:

I think it's 17 cm wish this helps.

4 0

3 years ago

Based on the figure below, what is the value of x?

oksano4ka [1.4K]

Answer:

x=9

Step-by-step explanation:

90(the angle)-30=60

60-15=45

45/5=9

(5(9)+15)+30=90

8 0

2 years ago